# HG changeset patch # User boehmes # Date 1261586262 -3600 # Node ID 6ab14241ae0449721dadc569311e8337fcd1161e # Parent 69eddb55588e56ed06676bb4d3382c768eb55a66 updated certificates diff -r 69eddb55588e -r 6ab14241ae04 src/HOL/Boogie/Examples/cert/Boogie_Dijkstra --- a/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra Wed Dec 23 17:36:26 2009 +0100 +++ b/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra Wed Dec 23 17:37:42 2009 +0100 @@ -38,6 +38,6 @@ :assumption (< 0 uf_9) :assumption (forall (?x20 T2) (?x21 T2) (implies (= ?x20 ?x21) (= (uf_10 (uf_1 ?x20 ?x21)) 0))) :assumption (forall (?x22 T2) (?x23 T2) (implies (not (= ?x22 ?x23)) (< 0 (uf_10 (uf_1 ?x22 ?x23))))) -:assumption (not (implies (and true (and (forall (?x24 T2) (implies (= ?x24 uf_11) (= (uf_12 ?x24) 0))) (and (forall (?x25 T2) (implies (not (= ?x25 uf_11)) (= (uf_12 ?x25) uf_9))) (forall (?x26 T2) (not (up_13 ?x26)))))) (and (= (uf_12 uf_11) 0) (implies (= (uf_12 uf_11) 0) (and (forall (?x27 T2) (<= 0 (uf_12 ?x27))) (implies (forall (?x28 T2) (<= 0 (uf_12 ?x28))) (and (forall (?x29 T2) (?x30 T2) (implies (and (not (up_13 ?x30)) (up_13 ?x29)) (<= (uf_12 ?x29) (uf_12 ?x30)))) (implies (forall (?x31 T2) (?x32 T2) (implies (and (not (up_13 ?x32)) (up_13 ?x31)) (<= (uf_12 ?x31) (uf_12 ?x32)))) (and (forall (?x33 T2) (?x34 T2) (implies (and (up_13 ?x34) (< (uf_10 (uf_1 ?x34 ?x33)) uf_9)) (<= (uf_12 ?x33) (+ (uf_12 ?x34) (uf_10 (uf_1 ?x34 ?x33)))))) (implies (forall (?x35 T2) (?x36 T2) (implies (and (up_13 ?x36) (< (uf_10 (uf_1 ?x36 ?x35)) uf_9)) (<= (uf_12 ?x35) (+ (uf_12 ?x36) (uf_10 (uf_1 ?x36 ?x35)))))) (and (forall (?x37 T2) (implies (and (not (= ?x37 uf_11)) (< (uf_12 ?x37) uf_9)) (exists (?x38 T2) (and (< (uf_12 ?x38) (uf_12 ?x37)) (and (up_13 ?x38) (= (uf_12 ?x37) (+ (uf_12 ?x38) (uf_10 (uf_1 ?x38 ?x37))))))))) (implies (and (forall (?x39 T2) (implies (and (not (= ?x39 uf_11)) (< (uf_12 ?x39) uf_9)) (exists (?x40 T2) (and (< (uf_12 ?x40) (uf_12 ?x39)) (and (up_13 ?x40) (= (uf_12 ?x39) (+ (uf_12 ?x40) (uf_10 (uf_1 ?x40 ?x39))))))))) (and true (and (= (uf_4 uf_14 uf_11) 0) (and (forall (?x41 T2) (<= 0 (uf_4 uf_14 ?x41))) (and (forall (?x42 T2) (?x43 T2) (implies (and (not (up_6 uf_15 ?x43)) (up_6 uf_15 ?x42)) (<= (uf_4 uf_14 ?x42) (uf_4 uf_14 ?x43)))) (and (forall (?x44 T2) (?x45 T2) (implies (and (up_6 uf_15 ?x45) (< (uf_10 (uf_1 ?x45 ?x44)) uf_9)) (<= (uf_4 uf_14 ?x44) (+ (uf_4 uf_14 ?x45) (uf_10 (uf_1 ?x45 ?x44)))))) (forall (?x46 T2) (implies (and (not (= ?x46 uf_11)) (< (uf_4 uf_14 ?x46) uf_9)) (exists (?x47 T2) (and (< (uf_4 uf_14 ?x47) (uf_4 uf_14 ?x46)) (and (up_6 uf_15 ?x47) (= (uf_4 uf_14 ?x46) (+ (uf_4 uf_14 ?x47) (uf_10 (uf_1 ?x47 ?x46))))))))))))))) (and (implies (and true (and (not (exists (?x48 T2) (and (not (up_6 uf_15 ?x48)) (< (uf_4 uf_14 ?x48) uf_9)))) (and (= uf_16 uf_15) (and (= uf_17 uf_18) (and (= uf_19 uf_14) (= uf_20 uf_21)))))) (and (forall (?x49 T2) (implies (and (not (= ?x49 uf_11)) (< (uf_4 uf_19 ?x49) uf_9)) (exists (?x50 T2) (and (< (uf_4 uf_19 ?x50) (uf_4 uf_19 ?x49)) (= (uf_4 uf_19 ?x49) (+ (uf_4 uf_19 ?x50) (uf_10 (uf_1 ?x50 ?x49)))))))) (implies (forall (?x51 T2) (implies (and (not (= ?x51 uf_11)) (< (uf_4 uf_19 ?x51) uf_9)) (exists (?x52 T2) (and (< (uf_4 uf_19 ?x52) (uf_4 uf_19 ?x51)) (= (uf_4 uf_19 ?x51) (+ (uf_4 uf_19 ?x52) (uf_10 (uf_1 ?x52 ?x51)))))))) (and (forall (?x53 T2) (?x54 T2) (implies (and (< (uf_4 uf_19 ?x54) uf_9) (< (uf_10 (uf_1 ?x54 ?x53)) uf_9)) (<= (uf_4 uf_19 ?x53) (+ (uf_4 uf_19 ?x54) (uf_10 (uf_1 ?x54 ?x53)))))) (implies (forall (?x55 T2) (?x56 T2) (implies (and (< (uf_4 uf_19 ?x56) uf_9) (< (uf_10 (uf_1 ?x56 ?x55)) uf_9)) (<= (uf_4 uf_19 ?x55) (+ (uf_4 uf_19 ?x56) (uf_10 (uf_1 ?x56 ?x55)))))) (= (uf_4 uf_19 uf_11) 0)))))) (implies (and true (and (exists (?x57 T2) (and (not (up_6 uf_15 ?x57)) (< (uf_4 uf_14 ?x57) uf_9))) (and (not (up_6 uf_15 uf_22)) (and (< (uf_4 uf_14 uf_22) uf_9) (and (forall (?x58 T2) (implies (not (up_6 uf_15 ?x58)) (<= (uf_4 uf_14 uf_22) (uf_4 uf_14 ?x58)))) (and (= uf_23 (uf_7 uf_15 uf_22 uf_8)) (and (forall (?x59 T2) (implies (and (< (uf_10 (uf_1 uf_22 ?x59)) uf_9) (< (+ (uf_4 uf_14 uf_22) (uf_10 (uf_1 uf_22 ?x59))) (uf_4 uf_14 ?x59))) (= (uf_24 ?x59) (+ (uf_4 uf_14 uf_22) (uf_10 (uf_1 uf_22 ?x59)))))) (forall (?x60 T2) (implies (not (and (< (uf_10 (uf_1 uf_22 ?x60)) uf_9) (< (+ (uf_4 uf_14 uf_22) (uf_10 (uf_1 uf_22 ?x60))) (uf_4 uf_14 ?x60)))) (= (uf_24 ?x60) (uf_4 uf_14 ?x60))))))))))) (and (forall (?x61 T2) (<= (uf_24 ?x61) (uf_4 uf_14 ?x61))) (implies (forall (?x62 T2) (<= (uf_24 ?x62) (uf_4 uf_14 ?x62))) (and (forall (?x63 T2) (implies (up_6 uf_23 ?x63) (= (uf_24 ?x63) (uf_4 uf_14 ?x63)))) (implies (forall (?x64 T2) (implies (up_6 uf_23 ?x64) (= (uf_24 ?x64) (uf_4 uf_14 ?x64)))) (and (= (uf_24 uf_11) 0) (implies (= (uf_24 uf_11) 0) (and (forall (?x65 T2) (<= 0 (uf_24 ?x65))) (implies (forall (?x66 T2) (<= 0 (uf_24 ?x66))) (and (forall (?x67 T2) (?x68 T2) (implies (and (not (up_6 uf_23 ?x68)) (up_6 uf_23 ?x67)) (<= (uf_24 ?x67) (uf_24 ?x68)))) (implies (forall (?x69 T2) (?x70 T2) (implies (and (not (up_6 uf_23 ?x70)) (up_6 uf_23 ?x69)) (<= (uf_24 ?x69) (uf_24 ?x70)))) (and (forall (?x71 T2) (?x72 T2) (implies (and (up_6 uf_23 ?x72) (< (uf_10 (uf_1 ?x72 ?x71)) uf_9)) (<= (uf_24 ?x71) (+ (uf_24 ?x72) (uf_10 (uf_1 ?x72 ?x71)))))) (implies (forall (?x73 T2) (?x74 T2) (implies (and (up_6 uf_23 ?x74) (< (uf_10 (uf_1 ?x74 ?x73)) uf_9)) (<= (uf_24 ?x73) (+ (uf_24 ?x74) (uf_10 (uf_1 ?x74 ?x73)))))) (forall (?x75 T2) (implies (and (not (= ?x75 uf_11)) (< (uf_24 ?x75) uf_9)) (exists (?x76 T2) (and (< (uf_24 ?x76) (uf_24 ?x75)) (and (up_6 uf_23 ?x76) (= (uf_24 ?x75) (+ (uf_24 ?x76) (uf_10 (uf_1 ?x76 ?x75))))))))))))))))))))))))))))))))))) +:assumption (not (implies true (implies (forall (?x24 T2) (implies (= ?x24 uf_11) (= (uf_12 ?x24) 0))) (implies (forall (?x25 T2) (implies (not (= ?x25 uf_11)) (= (uf_12 ?x25) uf_9))) (implies (forall (?x26 T2) (not (up_13 ?x26))) (and (= (uf_12 uf_11) 0) (implies (= (uf_12 uf_11) 0) (and (forall (?x27 T2) (<= 0 (uf_12 ?x27))) (implies (forall (?x28 T2) (<= 0 (uf_12 ?x28))) (and (forall (?x29 T2) (?x30 T2) (implies (and (not (up_13 ?x30)) (up_13 ?x29)) (<= (uf_12 ?x29) (uf_12 ?x30)))) (implies (forall (?x31 T2) (?x32 T2) (implies (and (not (up_13 ?x32)) (up_13 ?x31)) (<= (uf_12 ?x31) (uf_12 ?x32)))) (and (forall (?x33 T2) (?x34 T2) (implies (and (up_13 ?x34) (< (uf_10 (uf_1 ?x34 ?x33)) uf_9)) (<= (uf_12 ?x33) (+ (uf_12 ?x34) (uf_10 (uf_1 ?x34 ?x33)))))) (implies (forall (?x35 T2) (?x36 T2) (implies (and (up_13 ?x36) (< (uf_10 (uf_1 ?x36 ?x35)) uf_9)) (<= (uf_12 ?x35) (+ (uf_12 ?x36) (uf_10 (uf_1 ?x36 ?x35)))))) (and (forall (?x37 T2) (implies (and (not (= ?x37 uf_11)) (< (uf_12 ?x37) uf_9)) (exists (?x38 T2) (and (< (uf_12 ?x38) (uf_12 ?x37)) (and (up_13 ?x38) (= (uf_12 ?x37) (+ (uf_12 ?x38) (uf_10 (uf_1 ?x38 ?x37))))))))) (implies (forall (?x39 T2) (implies (and (not (= ?x39 uf_11)) (< (uf_12 ?x39) uf_9)) (exists (?x40 T2) (and (< (uf_12 ?x40) (uf_12 ?x39)) (and (up_13 ?x40) (= (uf_12 ?x39) (+ (uf_12 ?x40) (uf_10 (uf_1 ?x40 ?x39))))))))) (implies true (implies (= (uf_4 uf_14 uf_11) 0) (implies (forall (?x41 T2) (<= 0 (uf_4 uf_14 ?x41))) (implies (forall (?x42 T2) (?x43 T2) (implies (and (not (up_6 uf_15 ?x43)) (up_6 uf_15 ?x42)) (<= (uf_4 uf_14 ?x42) (uf_4 uf_14 ?x43)))) (implies (forall (?x44 T2) (?x45 T2) (implies (and (up_6 uf_15 ?x45) (< (uf_10 (uf_1 ?x45 ?x44)) uf_9)) (<= (uf_4 uf_14 ?x44) (+ (uf_4 uf_14 ?x45) (uf_10 (uf_1 ?x45 ?x44)))))) (implies (forall (?x46 T2) (implies (and (not (= ?x46 uf_11)) (< (uf_4 uf_14 ?x46) uf_9)) (exists (?x47 T2) (and (< (uf_4 uf_14 ?x47) (uf_4 uf_14 ?x46)) (and (up_6 uf_15 ?x47) (= (uf_4 uf_14 ?x46) (+ (uf_4 uf_14 ?x47) (uf_10 (uf_1 ?x47 ?x46))))))))) (and (implies true (implies (not (exists (?x48 T2) (and (not (up_6 uf_15 ?x48)) (< (uf_4 uf_14 ?x48) uf_9)))) (implies (= uf_16 uf_15) (implies (= uf_17 uf_18) (implies (= uf_19 uf_14) (implies (= uf_20 uf_21) (and (forall (?x49 T2) (implies (and (not (= ?x49 uf_11)) (< (uf_4 uf_19 ?x49) uf_9)) (exists (?x50 T2) (and (< (uf_4 uf_19 ?x50) (uf_4 uf_19 ?x49)) (= (uf_4 uf_19 ?x49) (+ (uf_4 uf_19 ?x50) (uf_10 (uf_1 ?x50 ?x49)))))))) (implies (forall (?x51 T2) (implies (and (not (= ?x51 uf_11)) (< (uf_4 uf_19 ?x51) uf_9)) (exists (?x52 T2) (and (< (uf_4 uf_19 ?x52) (uf_4 uf_19 ?x51)) (= (uf_4 uf_19 ?x51) (+ (uf_4 uf_19 ?x52) (uf_10 (uf_1 ?x52 ?x51)))))))) (and (forall (?x53 T2) (?x54 T2) (implies (and (< (uf_4 uf_19 ?x54) uf_9) (< (uf_10 (uf_1 ?x54 ?x53)) uf_9)) (<= (uf_4 uf_19 ?x53) (+ (uf_4 uf_19 ?x54) (uf_10 (uf_1 ?x54 ?x53)))))) (implies (forall (?x55 T2) (?x56 T2) (implies (and (< (uf_4 uf_19 ?x56) uf_9) (< (uf_10 (uf_1 ?x56 ?x55)) uf_9)) (<= (uf_4 uf_19 ?x55) (+ (uf_4 uf_19 ?x56) (uf_10 (uf_1 ?x56 ?x55)))))) (and (= (uf_4 uf_19 uf_11) 0) true))))))))))) (implies true (implies (exists (?x57 T2) (and (not (up_6 uf_15 ?x57)) (< (uf_4 uf_14 ?x57) uf_9))) (implies (not (up_6 uf_15 uf_22)) (implies (< (uf_4 uf_14 uf_22) uf_9) (implies (forall (?x58 T2) (implies (not (up_6 uf_15 ?x58)) (<= (uf_4 uf_14 uf_22) (uf_4 uf_14 ?x58)))) (implies (= uf_23 (uf_7 uf_15 uf_22 uf_8)) (implies (forall (?x59 T2) (implies (and (< (uf_10 (uf_1 uf_22 ?x59)) uf_9) (< (+ (uf_4 uf_14 uf_22) (uf_10 (uf_1 uf_22 ?x59))) (uf_4 uf_14 ?x59))) (= (uf_24 ?x59) (+ (uf_4 uf_14 uf_22) (uf_10 (uf_1 uf_22 ?x59)))))) (implies (forall (?x60 T2) (implies (not (and (< (uf_10 (uf_1 uf_22 ?x60)) uf_9) (< (+ (uf_4 uf_14 uf_22) (uf_10 (uf_1 uf_22 ?x60))) (uf_4 uf_14 ?x60)))) (= (uf_24 ?x60) (uf_4 uf_14 ?x60)))) (and (forall (?x61 T2) (<= (uf_24 ?x61) (uf_4 uf_14 ?x61))) (implies (forall (?x62 T2) (<= (uf_24 ?x62) (uf_4 uf_14 ?x62))) (and (forall (?x63 T2) (implies (up_6 uf_23 ?x63) (= (uf_24 ?x63) (uf_4 uf_14 ?x63)))) (implies (forall (?x64 T2) (implies (up_6 uf_23 ?x64) (= (uf_24 ?x64) (uf_4 uf_14 ?x64)))) (and (= (uf_24 uf_11) 0) (implies (= (uf_24 uf_11) 0) (and (forall (?x65 T2) (<= 0 (uf_24 ?x65))) (implies (forall (?x66 T2) (<= 0 (uf_24 ?x66))) (and (forall (?x67 T2) (?x68 T2) (implies (and (not (up_6 uf_23 ?x68)) (up_6 uf_23 ?x67)) (<= (uf_24 ?x67) (uf_24 ?x68)))) (implies (forall (?x69 T2) (?x70 T2) (implies (and (not (up_6 uf_23 ?x70)) (up_6 uf_23 ?x69)) (<= (uf_24 ?x69) (uf_24 ?x70)))) (and (forall (?x71 T2) (?x72 T2) (implies (and (up_6 uf_23 ?x72) (< (uf_10 (uf_1 ?x72 ?x71)) uf_9)) (<= (uf_24 ?x71) (+ (uf_24 ?x72) (uf_10 (uf_1 ?x72 ?x71)))))) (implies (forall (?x73 T2) (?x74 T2) (implies (and (up_6 uf_23 ?x74) (< (uf_10 (uf_1 ?x74 ?x73)) uf_9)) (<= (uf_24 ?x73) (+ (uf_24 ?x74) (uf_10 (uf_1 ?x74 ?x73)))))) (and (forall (?x75 T2) (implies (and (not (= ?x75 uf_11)) (< (uf_24 ?x75) uf_9)) (exists (?x76 T2) (and (< (uf_24 ?x76) (uf_24 ?x75)) (and (up_6 uf_23 ?x76) (= (uf_24 ?x75) (+ (uf_24 ?x76) (uf_10 (uf_1 ?x76 ?x75))))))))) true))))))))))))))))))))))))))))))))))))))))))) :formula true ) diff -r 69eddb55588e -r 6ab14241ae04 src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof --- a/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof Wed Dec 23 17:36:26 2009 +0100 +++ b/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof Wed Dec 23 17:37:42 2009 +0100 @@ -1,6631 +1,6542 @@ #2 := false -#52 := 0::int -decl uf_10 :: (-> T1 int) +decl up_6 :: (-> T4 T2 bool) +decl ?x47!7 :: (-> T2 T2) +decl ?x75!20 :: T2 +#2146 := ?x75!20 +#5823 := (?x47!7 ?x75!20) +decl uf_23 :: T4 +#182 := uf_23 +#16800 := (up_6 uf_23 #5823) +decl uf_2 :: (-> T1 T2) decl uf_1 :: (-> T2 T2 T1) decl uf_3 :: (-> T1 T2) -decl ?x71!19 :: T2 -#2002 := ?x71!19 -decl ?x72!18 :: T2 -#2001 := ?x72!18 -#2007 := (uf_1 ?x72!18 ?x71!19) -#11538 := (uf_3 #2007) decl uf_22 :: T2 -#182 := uf_22 -#18065 := (uf_1 uf_22 #11538) -#18066 := (uf_10 #18065) -decl uf_24 :: (-> T2 int) -#18030 := (uf_24 #11538) -#952 := -1::int -#18049 := (* -1::int #18030) -#18091 := (+ #18049 #18066) -decl uf_4 :: (-> T3 T2 int) -decl uf_14 :: T3 -#107 := uf_14 -#185 := (uf_4 uf_14 uf_22) -#18092 := (+ #185 #18091) -#18113 := (>= #18092 0::int) -#18070 := (* -1::int #18066) -decl uf_9 :: int -#53 := uf_9 -#18074 := (+ uf_9 #18070) -#18075 := (<= #18074 0::int) -#17499 := (not #18075) -#2008 := (uf_10 #2007) -#2011 := (* -1::int #2008) -#2012 := (+ uf_9 #2011) -#2013 := (<= #2012 0::int) -#2014 := (not #2013) -#2005 := (uf_24 ?x72!18) -#2543 := (* -1::int #2005) -#2544 := (+ #2543 #2011) -#2003 := (uf_24 ?x71!19) -#2545 := (+ #2003 #2544) -#2546 := (<= #2545 0::int) -decl up_6 :: (-> T4 T2 bool) -decl uf_23 :: T4 -#190 := uf_23 -#2015 := (up_6 uf_23 ?x72!18) -#3106 := (not #2015) -#3121 := (or #2013 #3106 #2546) -#3126 := (not #3121) -decl ?x75!20 :: T2 -#2031 := ?x75!20 -#11 := (:var 0 T2) -#2035 := (uf_1 #11 ?x75!20) -#4121 := (pattern #2035) -#199 := (uf_24 #11) -#4062 := (pattern #199) -#216 := (up_6 uf_23 #11) -#4087 := (pattern #216) -#2036 := (uf_10 #2035) -#2032 := (uf_24 ?x75!20) -#2033 := (* -1::int #2032) -#2581 := (+ #2033 #2036) -#2582 := (+ #199 #2581) -#2585 := (= #2582 0::int) -#3151 := (not #2585) -#2034 := (+ #199 #2033) -#2039 := (>= #2034 0::int) -#223 := (not #216) -#3152 := (or #223 #2039 #3151) -#4122 := (forall (vars (?x76 T2)) (:pat #4087 #4062 #4121) #3152) -#4127 := (not #4122) -#10 := (:var 1 T2) -#90 := (uf_1 #11 #10) -#3916 := (pattern #90) -#226 := (uf_24 #10) -#1337 := (* -1::int #226) -#1338 := (+ #199 #1337) -#91 := (uf_10 #90) -#1363 := (+ #91 #1338) -#1361 := (>= #1363 0::int) -#967 := (* -1::int #91) -#968 := (+ uf_9 #967) -#969 := (<= #968 0::int) -#3143 := (or #223 #969 #1361) -#4113 := (forall (vars (?x71 T2) (?x72 T2)) (:pat #3916) #3143) -#4118 := (not #4113) -decl uf_11 :: T2 -#64 := uf_11 -#2557 := (= uf_11 ?x75!20) -#2043 := (+ uf_9 #2033) -#2044 := (<= #2043 0::int) -#4130 := (or #2044 #2557 #4118 #4127) -decl ?x47!7 :: (-> T2 T2) -#11097 := (?x47!7 ?x75!20) -decl uf_15 :: T4 -#113 := uf_15 -#11136 := (up_6 uf_15 #11097) -#11143 := (uf_4 uf_14 #11097) -#11144 := (* -1::int #11143) -#10301 := (uf_4 uf_14 ?x75!20) -#11145 := (+ #10301 #11144) -#11146 := (<= #11145 0::int) -#11137 := (not #11136) -#11147 := (uf_1 #11097 ?x75!20) -#11148 := (uf_10 #11147) -#11149 := (* -1::int #11148) -#11150 := (+ #11144 #11149) -#11133 := (+ #10301 #11150) -#11134 := (= #11133 0::int) -#11135 := (not #11134) -#11142 := (or #11135 #11137 #11146) -#11168 := (not #11142) -#10403 := (* -1::int #10301) -#11139 := (+ uf_9 #10403) -#11140 := (<= #11139 0::int) -#33430 := (not #11140) -#2045 := (not #2044) -#4133 := (not #4130) -#25286 := [hypothesis]: #4133 -#3757 := (or #4130 #2045) -#3755 := [def-axiom]: #3757 -#25348 := [unit-resolution #3755 #25286]: #2045 -#10404 := (+ #2032 #10403) -#7777 := (>= #10404 0::int) -#10311 := (= #2032 #10301) -#3601 := (or #4130 #4122) -#3749 := [def-axiom]: #3601 -#25346 := [unit-resolution #3749 #25286]: #4122 -#30592 := (or #10311 #4127) -#5832 := (uf_1 uf_22 uf_22) -#6904 := (uf_3 #5832) -#8027 := (uf_24 #6904) -#7883 := (* -1::int #8027) -#10078 := (+ #2032 #7883) -#10697 := (<= #10078 0::int) -#30559 := (not #10697) -#10700 := (uf_1 #6904 ?x75!20) -#10701 := (uf_10 #10700) -#30273 := (<= #10701 0::int) -#30274 := (not #30273) -#13994 := (= ?x75!20 #6904) -#30199 := (not #13994) -#11031 := (up_6 uf_15 ?x75!20) -#14001 := (or #11031 #13994) -#30202 := (not #14001) +#174 := uf_22 +#4514 := (uf_1 uf_22 uf_22) +#10482 := (uf_3 #4514) +#15059 := (uf_1 #10482 ?x75!20) +#15842 := (uf_3 #15059) +#16792 := (uf_1 #5823 #15842) +#19843 := (uf_2 #16792) decl uf_7 :: (-> T4 T2 T5 T4) decl uf_8 :: T5 #33 := uf_8 -#8048 := (uf_7 uf_15 #6904 uf_8) -#13996 := (up_6 #8048 ?x75!20) -#14006 := (iff #13996 #14001) +decl uf_15 :: T4 +#110 := uf_15 +#11444 := (uf_7 uf_15 #10482 uf_8) +#27073 := (up_6 #11444 #19843) +#27109 := (not #27073) +#16801 := (not #16800) +#27231 := (iff #16801 #27109) +#27229 := (iff #16800 #27073) +#27227 := (iff #27073 #16800) +#27215 := (= #19843 #5823) +#20888 := (= #5823 #19843) +#11 := (:var 0 T2) +#10 := (:var 1 T2) +#12 := (uf_1 #10 #11) +#3981 := (pattern #12) +#16 := (uf_2 #12) +#303 := (= #10 #16) +#3988 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #3981) #303) +#307 := (forall (vars (?x4 T2) (?x5 T2)) #303) +#3991 := (iff #307 #3988) +#3989 := (iff #303 #303) +#3990 := [refl]: #3989 +#3992 := [quant-intro #3990]: #3991 +#1642 := (~ #307 #307) +#1676 := (~ #303 #303) +#1677 := [refl]: #1676 +#1643 := [nnf-pos #1677]: #1642 +#17 := (= #16 #10) +#18 := (forall (vars (?x4 T2) (?x5 T2)) #17) +#308 := (iff #18 #307) +#305 := (iff #17 #303) +#306 := [rewrite]: #305 +#309 := [quant-intro #306]: #308 +#302 := [asserted]: #18 +#312 := [mp #302 #309]: #307 +#1678 := [mp~ #312 #1643]: #307 +#3993 := [mp #1678 #3992]: #3988 +#8415 := (not #3988) +#20865 := (or #8415 #20888) +#20879 := [quant-inst]: #20865 +#27214 := [unit-resolution #20879 #3993]: #20888 +#27216 := [symm #27214]: #27215 +#13523 := (= #11444 uf_23) +#183 := (uf_7 uf_15 uf_22 uf_8) +#7113 := (= #183 uf_23) +#184 := (= uf_23 #183) +#2150 := (uf_1 #11 ?x75!20) +#4271 := (pattern #2150) +decl uf_24 :: (-> T2 int) +#191 := (uf_24 #11) +#4211 := (pattern #191) +#201 := (up_6 uf_23 #11) +#4237 := (pattern #201) +#52 := 0::int +decl uf_10 :: (-> T1 int) +#2151 := (uf_10 #2150) +#2147 := (uf_24 ?x75!20) +#1038 := -1::int +#2148 := (* -1::int #2147) +#2745 := (+ #2148 #2151) +#2746 := (+ #191 #2745) +#2749 := (= #2746 0::int) +#3311 := (not #2749) +#2149 := (+ #191 #2148) +#2154 := (>= #2149 0::int) +#208 := (not #201) +#3312 := (or #208 #2154 #3311) +#4272 := (forall (vars (?x76 T2)) (:pat #4237 #4211 #4271) #3312) +#4277 := (not #4272) +#87 := (uf_1 #11 #10) +#4066 := (pattern #87) +#211 := (uf_24 #10) +#1318 := (* -1::int #211) +#1319 := (+ #191 #1318) +#88 := (uf_10 #87) +#1344 := (+ #88 #1319) +#1342 := (>= #1344 0::int) +#1053 := (* -1::int #88) +decl uf_9 :: int +#53 := uf_9 +#1054 := (+ uf_9 #1053) +#1055 := (<= #1054 0::int) +#3303 := (or #208 #1055 #1342) +#4263 := (forall (vars (?x71 T2) (?x72 T2)) (:pat #4066) #3303) +#4268 := (not #4263) +decl uf_11 :: T2 +#64 := uf_11 +#2721 := (= uf_11 ?x75!20) +#2158 := (+ uf_9 #2148) +#2159 := (<= #2158 0::int) +#4280 := (or #2159 #2721 #4268 #4277) +#4283 := (not #4280) +decl ?x71!19 :: T2 +#2117 := ?x71!19 +decl ?x72!18 :: T2 +#2116 := ?x72!18 +#2122 := (uf_1 ?x72!18 ?x71!19) +#2123 := (uf_10 #2122) +#2126 := (* -1::int #2123) +#2120 := (uf_24 ?x72!18) +#2707 := (* -1::int #2120) +#2708 := (+ #2707 #2126) +#2118 := (uf_24 ?x71!19) +#2709 := (+ #2118 #2708) +#2710 := (<= #2709 0::int) +#2130 := (up_6 uf_23 ?x72!18) +#3266 := (not #2130) +#2127 := (+ uf_9 #2126) +#2128 := (<= #2127 0::int) +#3281 := (or #2128 #3266 #2710) +#3286 := (not #3281) +#4286 := (or #3286 #4283) +#4289 := (not #4286) +#4254 := (pattern #191 #211) +#1317 := (>= #1319 0::int) +#209 := (up_6 uf_23 #10) +#3243 := (not #209) +#3258 := (or #201 #3243 #1317) +#4255 := (forall (vars (?x67 T2) (?x68 T2)) (:pat #4254) #3258) +#4260 := (not #4255) +#4292 := (or #4260 #4289) +#4295 := (not #4292) +decl ?x68!16 :: T2 +#2091 := ?x68!16 +#2095 := (uf_24 ?x68!16) +#2681 := (* -1::int #2095) +decl ?x67!17 :: T2 +#2092 := ?x67!17 +#2093 := (uf_24 ?x67!17) +#2682 := (+ #2093 #2681) +#2683 := (<= #2682 0::int) +#2099 := (up_6 uf_23 ?x68!16) +#2098 := (up_6 uf_23 ?x67!17) +#3220 := (not #2098) +#3235 := (or #3220 #2099 #2683) +#3240 := (not #3235) +#4298 := (or #3240 #4295) +#4301 := (not #4298) +#1308 := (>= #191 0::int) +#4246 := (forall (vars (?x65 T2)) (:pat #4211) #1308) +#4251 := (not #4246) +#4304 := (or #4251 #4301) +#4307 := (not #4304) +decl ?x65!15 :: T2 +#2076 := ?x65!15 +#2077 := (uf_24 ?x65!15) +#2078 := (>= #2077 0::int) +#2079 := (not #2078) +#4310 := (or #2079 #4307) +#4313 := (not #4310) +#204 := (uf_24 uf_11) +#205 := (= #204 0::int) +#1305 := (not #205) +#4316 := (or #1305 #4313) +#4319 := (not #4316) +#4322 := (or #1305 #4319) +#4325 := (not #4322) +decl uf_4 :: (-> T3 T2 int) +decl uf_14 :: T3 +#104 := uf_14 +#107 := (uf_4 uf_14 #11) +#4090 := (pattern #107) +#645 := (= #107 #191) +#662 := (or #208 #645) +#4238 := (forall (vars (?x63 T2)) (:pat #4237 #4090 #4211) #662) +#4243 := (not #4238) +#4328 := (or #4243 #4325) +#4331 := (not #4328) +decl ?x63!14 :: T2 +#2052 := ?x63!14 +#2054 := (uf_4 uf_14 ?x63!14) +#2053 := (uf_24 ?x63!14) +#2658 := (= #2053 #2054) +#2056 := (up_6 uf_23 ?x63!14) +#2057 := (not #2056) +#2661 := (or #2057 #2658) +#2664 := (not #2661) +#4334 := (or #2664 #4331) +#4337 := (not #4334) +#1293 := (* -1::int #191) +#1294 := (+ #107 #1293) +#1292 := (>= #1294 0::int) +#4229 := (forall (vars (?x61 T2)) (:pat #4090 #4211) #1292) +#4234 := (not #4229) +#4340 := (or #4234 #4337) +#4343 := (not #4340) +decl ?x61!13 :: T2 +#2034 := ?x61!13 +#2037 := (uf_4 uf_14 ?x61!13) +#2648 := (* -1::int #2037) +#2035 := (uf_24 ?x61!13) +#2649 := (+ #2035 #2648) +#2650 := (<= #2649 0::int) +#2655 := (not #2650) +#4346 := (or #2655 #4343) +#4349 := (not #4346) +#185 := (uf_1 uf_22 #11) +#4212 := (pattern #185) +#186 := (uf_10 #185) +#1431 := (+ #186 #1293) +#177 := (uf_4 uf_14 uf_22) +#1432 := (+ #177 #1431) +#1433 := (= #1432 0::int) +#1262 := (* -1::int #186) +#1268 := (* -1::int #177) +#1269 := (+ #1268 #1262) +#1270 := (+ #107 #1269) +#1271 := (<= #1270 0::int) +#1263 := (+ uf_9 #1262) +#1264 := (<= #1263 0::int) +#3212 := (or #1264 #1271 #1433) +#4221 := (forall (vars (?x59 T2)) (:pat #4212 #4090 #4211) #3212) +#4226 := (not #4221) +#3192 := (or #1264 #1271) +#3193 := (not #3192) +#3196 := (or #645 #3193) +#4213 := (forall (vars (?x60 T2)) (:pat #4090 #4211 #4212) #3196) +#4218 := (not #4213) +decl ?x48!12 :: T2 +#2011 := ?x48!12 +#2017 := (up_6 uf_15 ?x48!12) +#2012 := (uf_4 uf_14 ?x48!12) +#2013 := (* -1::int #2012) +#2014 := (+ uf_9 #2013) +#2015 := (<= #2014 0::int) +#1458 := (+ uf_9 #1268) +#1459 := (<= #1458 0::int) +#111 := (up_6 uf_15 #11) +#4132 := (pattern #111) +#1446 := (+ #107 #1268) +#1445 := (>= #1446 0::int) +#1449 := (or #111 #1445) +#4203 := (forall (vars (?x58 T2)) (:pat #4132 #4090) #1449) +#4208 := (not #4203) +#825 := (not #184) +#175 := (up_6 uf_15 uf_22) +#4352 := (or #175 #825 #4208 #1459 #2015 #2017 #4218 #4226 #4349) +#4355 := (not #4352) +decl ?x53!11 :: T2 +#1945 := ?x53!11 +decl ?x54!10 :: T2 +#1944 := ?x54!10 +#1950 := (uf_1 ?x54!10 ?x53!11) +#1951 := (uf_10 #1950) +#1958 := (* -1::int #1951) +decl uf_19 :: T3 +#141 := uf_19 +#1948 := (uf_4 uf_19 ?x54!10) +#1954 := (* -1::int #1948) +#2605 := (+ #1954 #1958) +#1946 := (uf_4 uf_19 ?x53!11) +#2606 := (+ #1946 #2605) +#2607 := (<= #2606 0::int) +#1959 := (+ uf_9 #1958) +#1960 := (<= #1959 0::int) +#1955 := (+ uf_9 #1954) +#1956 := (<= #1955 0::int) +#3156 := (or #1956 #1960 #2607) +#3161 := (not #3156) +#149 := (uf_4 uf_19 #10) +#1175 := (* -1::int #149) +#146 := (uf_4 uf_19 #11) +#1176 := (+ #146 #1175) +#1182 := (+ #88 #1176) +#1205 := (>= #1182 0::int) +#1162 := (* -1::int #146) +#1163 := (+ uf_9 #1162) +#1164 := (<= #1163 0::int) +#3124 := (or #1055 #1164 #1205) +#4165 := (forall (vars (?x53 T2) (?x54 T2)) (:pat #4066) #3124) +#4170 := (not #4165) +#161 := (uf_4 uf_19 uf_11) +#162 := (= #161 0::int) +#4173 := (or #162 #4170) +#4176 := (not #4173) +#4179 := (or #4176 #3161) +#4182 := (not #4179) +#4141 := (pattern #146) +decl ?x50!9 :: (-> T2 T2) +#1921 := (?x50!9 #11) +#1924 := (uf_1 #1921 #11) +#1925 := (uf_10 #1924) +#2575 := (* -1::int #1925) +#1922 := (uf_4 uf_19 #1921) +#2558 := (* -1::int #1922) +#2576 := (+ #2558 #2575) +#2577 := (+ #146 #2576) +#2578 := (= #2577 0::int) +#3094 := (not #2578) +#2559 := (+ #146 #2558) +#2560 := (<= #2559 0::int) +#3095 := (or #2560 #3094) +#3096 := (not #3095) +#65 := (= #11 uf_11) +#3102 := (or #65 #1164 #3096) +#4157 := (forall (vars (?x49 T2)) (:pat #4141) #3102) +#4162 := (not #4157) +#4185 := (or #4162 #4182) +#4188 := (not #4185) +decl ?x49!8 :: T2 +#1881 := ?x49!8 +#1885 := (uf_1 #11 ?x49!8) +#4142 := (pattern #1885) +#1886 := (uf_10 #1885) +#1882 := (uf_4 uf_19 ?x49!8) +#1883 := (* -1::int #1882) +#2528 := (+ #1883 #1886) +#2529 := (+ #146 #2528) +#2532 := (= #2529 0::int) +#3058 := (not #2532) +#1884 := (+ #146 #1883) +#1889 := (>= #1884 0::int) +#3059 := (or #1889 #3058) +#4143 := (forall (vars (?x50 T2)) (:pat #4141 #4142) #3059) +#4148 := (not #4143) +#2504 := (= uf_11 ?x49!8) +#1893 := (+ uf_9 #1883) +#1894 := (<= #1893 0::int) +#4151 := (or #1894 #2504 #4148) +#4154 := (not #4151) +#4191 := (or #4154 #4188) +#4194 := (not #4191) +#1117 := (* -1::int #107) +#1118 := (+ uf_9 #1117) +#1119 := (<= #1118 0::int) +#3044 := (or #111 #1119) +#4133 := (forall (vars (?x48 T2)) (:pat #4132 #4090) #3044) +#4138 := (not #4133) +#495 := (= uf_14 uf_19) +#586 := (not #495) +decl uf_16 :: T4 +#136 := uf_16 +#492 := (= uf_15 uf_16) +#604 := (not #492) +decl uf_21 :: T3 +#144 := uf_21 +decl uf_20 :: T3 +#143 := uf_20 +#145 := (= uf_20 uf_21) +#577 := (not #145) +decl uf_18 :: T2 +#139 := uf_18 +decl uf_17 :: T2 +#138 := uf_17 +#140 := (= uf_17 uf_18) +#595 := (not #140) +#4197 := (or #595 #577 #604 #586 #4138 #4194) +#4200 := (not #4197) +#4358 := (or #4200 #4355) +#4361 := (not #4358) +#1845 := (?x47!7 #11) +#1846 := (uf_4 uf_14 #1845) +#2463 := (* -1::int #1846) +#2478 := (+ #107 #2463) +#2479 := (<= #2478 0::int) +#1850 := (uf_1 #1845 #11) +#1851 := (uf_10 #1850) +#2464 := (* -1::int #1851) +#2465 := (+ #2463 #2464) +#2466 := (+ #107 #2465) +#2467 := (= #2466 0::int) +#3028 := (not #2467) +#1854 := (up_6 uf_15 #1845) +#3027 := (not #1854) +#3029 := (or #3027 #3028 #2479) +#3030 := (not #3029) +#3036 := (or #65 #1119 #3030) +#4124 := (forall (vars (?x46 T2)) (:pat #4090) #3036) +#4129 := (not #4124) +decl uf_12 :: (-> T2 int) +#66 := (uf_12 #11) +#4042 := (pattern #66) +decl ?x38!6 :: (-> T2 T2) +#1818 := (?x38!6 #11) +#1822 := (uf_12 #1818) +#2422 := (* -1::int #1822) +#1819 := (uf_1 #1818 #11) +#1820 := (uf_10 #1819) +#2439 := (* -1::int #1820) +#2440 := (+ #2439 #2422) +#2441 := (+ #66 #2440) +#2442 := (= #2441 0::int) +#3000 := (not #2442) +#2423 := (+ #66 #2422) +#2424 := (<= #2423 0::int) +decl up_13 :: (-> T2 bool) +#1828 := (up_13 #1818) +#2999 := (not #1828) +#3001 := (or #2999 #2424 #3000) +#3002 := (not #3001) +#1079 := (* -1::int #66) +#1080 := (+ uf_9 #1079) +#1081 := (<= #1080 0::int) +#3008 := (or #65 #1081 #3002) +#4116 := (forall (vars (?x37 T2)) (:pat #4042) #3008) +#4121 := (not #4116) +#113 := (up_6 uf_15 #10) +#4107 := (pattern #111 #113) +#115 := (uf_4 uf_14 #10) +#1131 := (* -1::int #115) +#1132 := (+ #107 #1131) +#1135 := (>= #1132 0::int) +#2965 := (not #113) +#2980 := (or #111 #2965 #1135) +#4108 := (forall (vars (?x42 T2) (?x43 T2)) (:pat #4107) #2980) +#4113 := (not #4108) +#1133 := (+ #88 #1132) +#1513 := (>= #1133 0::int) +#112 := (not #111) +#2957 := (or #112 #1055 #1513) +#4099 := (forall (vars (?x44 T2) (?x45 T2)) (:pat #4066) #2957) +#4104 := (not #4099) +#1536 := (>= #107 0::int) +#4091 := (forall (vars (?x41 T2)) (:pat #4090) #1536) +#4096 := (not #4091) +#105 := (uf_4 uf_14 uf_11) +#106 := (= #105 0::int) +#1547 := (not #106) +#4364 := (or #1547 #4096 #4104 #4113 #4121 #4129 #4361) +#4367 := (not #4364) +decl ?x37!5 :: T2 +#1774 := ?x37!5 +#1775 := (uf_1 #11 ?x37!5) +#4075 := (pattern #1775) +#74 := (up_13 #11) +#4035 := (pattern #74) +#1777 := (uf_12 ?x37!5) +#1778 := (* -1::int #1777) +#1776 := (uf_10 #1775) +#2390 := (+ #1776 #1778) +#2391 := (+ #66 #2390) +#2394 := (= #2391 0::int) +#2918 := (not #2394) +#1782 := (+ #66 #1778) +#1783 := (>= #1782 0::int) +#75 := (not #74) +#2919 := (or #75 #1783 #2918) +#4076 := (forall (vars (?x38 T2)) (:pat #4035 #4042 #4075) #2919) +#4081 := (not #4076) +#2366 := (= uf_11 ?x37!5) +#1787 := (+ uf_9 #1778) +#1788 := (<= #1787 0::int) +#4084 := (or #1788 #2366 #4081) +#4087 := (not #4084) +#4370 := (or #4087 #4367) +#4373 := (not #4370) +#83 := (uf_12 #10) +#1041 := (* -1::int #83) +#1068 := (+ #1041 #88) +#1069 := (+ #66 #1068) +#1066 := (>= #1069 0::int) +#2910 := (or #75 #1055 #1066) +#4067 := (forall (vars (?x33 T2) (?x34 T2)) (:pat #4066) #2910) +#4072 := (not #4067) +#4376 := (or #4072 #4373) +#4379 := (not #4376) +decl ?x34!3 :: T2 +#1744 := ?x34!3 +#1751 := (uf_12 ?x34!3) +decl ?x33!4 :: T2 +#1745 := ?x33!4 +#1748 := (uf_12 ?x33!4) +#1749 := (* -1::int #1748) +#2353 := (+ #1749 #1751) +#1746 := (uf_1 ?x34!3 ?x33!4) +#1747 := (uf_10 #1746) +#2354 := (+ #1747 #2353) +#2357 := (>= #2354 0::int) +#1758 := (up_13 ?x34!3) +#2873 := (not #1758) +#1754 := (* -1::int #1747) +#1755 := (+ uf_9 #1754) +#1756 := (<= #1755 0::int) +#2888 := (or #1756 #2873 #2357) +#8152 := [hypothesis]: #1758 +#4036 := (forall (vars (?x26 T2)) (:pat #4035) #75) +#76 := (forall (vars (?x26 T2)) #75) +#4039 := (iff #76 #4036) +#4037 := (iff #75 #75) +#4038 := [refl]: #4037 +#4040 := [quant-intro #4038]: #4039 +#1658 := (~ #76 #76) +#1695 := (~ #75 #75) +#1696 := [refl]: #1695 +#1659 := [nnf-pos #1696]: #1658 +#67 := (= #66 0::int) +#70 := (not #65) +#1605 := (or #70 #67) +#1608 := (forall (vars (?x24 T2)) #1605) +#1611 := (not #1608) +#1539 := (forall (vars (?x41 T2)) #1536) +#1542 := (not #1539) +#114 := (and #112 #113) +#440 := (not #114) +#1527 := (or #440 #1135) +#1530 := (forall (vars (?x42 T2) (?x43 T2)) #1527) +#1533 := (not #1530) +#1056 := (not #1055) +#1505 := (and #111 #1056) +#1510 := (not #1505) +#1516 := (or #1510 #1513) +#1519 := (forall (vars (?x44 T2) (?x45 T2)) #1516) +#1522 := (not #1519) +#1452 := (forall (vars (?x58 T2)) #1449) +#1455 := (not #1452) +#1272 := (not #1271) +#1265 := (not #1264) +#1275 := (and #1265 #1272) +#1428 := (not #1275) +#1436 := (or #1428 #1433) +#1439 := (forall (vars (?x59 T2)) #1436) +#1442 := (not #1439) +#1366 := (= #1344 0::int) +#1369 := (not #1317) +#1378 := (and #201 #1369 #1366) +#1383 := (exists (vars (?x76 T2)) #1378) +#1355 := (+ uf_9 #1293) +#1356 := (<= #1355 0::int) +#1357 := (not #1356) +#1360 := (and #70 #1357) +#1363 := (not #1360) +#1386 := (or #1363 #1383) +#1389 := (forall (vars (?x75 T2)) #1386) +#1334 := (and #201 #1056) +#1339 := (not #1334) +#1346 := (or #1339 #1342) +#1349 := (forall (vars (?x71 T2) (?x72 T2)) #1346) +#1352 := (not #1349) +#1392 := (or #1352 #1389) +#1395 := (and #1349 #1392) +#210 := (and #208 #209) +#673 := (not #210) +#1322 := (or #673 #1317) +#1325 := (forall (vars (?x67 T2) (?x68 T2)) #1322) +#1328 := (not #1325) +#1398 := (or #1328 #1395) +#1401 := (and #1325 #1398) +#1311 := (forall (vars (?x65 T2)) #1308) +#1314 := (not #1311) +#1404 := (or #1314 #1401) +#1407 := (and #1311 #1404) +#1410 := (or #1305 #1407) +#1413 := (and #205 #1410) +#667 := (forall (vars (?x63 T2)) #662) +#783 := (not #667) +#1416 := (or #783 #1413) +#1419 := (and #667 #1416) +#1297 := (forall (vars (?x61 T2)) #1292) +#1300 := (not #1297) +#1422 := (or #1300 #1419) +#1425 := (and #1297 #1422) +#1281 := (or #645 #1275) +#1286 := (forall (vars (?x60 T2)) #1281) +#1289 := (not #1286) +#1120 := (not #1119) +#1236 := (and #112 #1120) +#1239 := (exists (vars (?x48 T2)) #1236) +#1470 := (not #1239) +#1494 := (or #175 #825 #1470 #1289 #1425 #1442 #1455 #1459) +#1165 := (not #1164) +#1199 := (and #1056 #1165) +#1202 := (not #1199) +#1208 := (or #1202 #1205) +#1211 := (forall (vars (?x53 T2) (?x54 T2)) #1208) +#1214 := (not #1211) +#1222 := (or #162 #1214) +#1227 := (and #1211 #1222) +#1180 := (= #1182 0::int) +#1174 := (>= #1176 0::int) +#1177 := (not #1174) +#1184 := (and #1177 #1180) +#1187 := (exists (vars (?x50 T2)) #1184) +#1168 := (and #70 #1165) +#1171 := (not #1168) +#1190 := (or #1171 #1187) +#1193 := (forall (vars (?x49 T2)) #1190) +#1196 := (not #1193) +#1230 := (or #1196 #1227) +#1233 := (and #1193 #1230) +#1257 := (or #595 #577 #604 #586 #1233 #1239) +#1499 := (and #1257 #1494) +#1136 := (not #1135) +#1129 := (= #1133 0::int) +#1145 := (and #111 #1129 #1136) +#1150 := (exists (vars (?x47 T2)) #1145) +#1123 := (and #70 #1120) +#1126 := (not #1123) +#1153 := (or #1126 #1150) +#1156 := (forall (vars (?x46 T2)) #1153) +#1159 := (not #1156) +#1091 := (= #1069 0::int) +#1042 := (+ #66 #1041) +#1040 := (>= #1042 0::int) +#1094 := (not #1040) +#1103 := (and #74 #1094 #1091) +#1108 := (exists (vars (?x38 T2)) #1103) +#1082 := (not #1081) +#1085 := (and #70 #1082) +#1088 := (not #1085) +#1111 := (or #1088 #1108) +#1114 := (forall (vars (?x37 T2)) #1111) +#1550 := (not #1114) +#1571 := (or #1547 #1550 #1159 #1499 #1522 #1533 #1542) +#1576 := (and #1114 #1571) +#1059 := (and #74 #1056) +#1062 := (not #1059) +#1070 := (or #1062 #1066) +#1073 := (forall (vars (?x33 T2) (?x34 T2)) #1070) +#1076 := (not #1073) +#1579 := (or #1076 #1576) +#1582 := (and #1073 #1579) +#81 := (up_13 #10) +#82 := (and #75 #81) +#416 := (not #82) +#1044 := (or #416 #1040) +#1047 := (forall (vars (?x29 T2) (?x30 T2)) #1044) +#1050 := (not #1047) +#1585 := (or #1050 #1582) +#1588 := (and #1047 #1585) +#1031 := (>= #66 0::int) +#1032 := (forall (vars (?x27 T2)) #1031) +#1035 := (not #1032) +#1591 := (or #1035 #1588) +#1594 := (and #1032 #1591) +#77 := (uf_12 uf_11) +#78 := (= #77 0::int) +#1026 := (not #78) +#1597 := (or #1026 #1594) +#1600 := (and #78 #1597) +#399 := (= uf_9 #66) +#405 := (or #65 #399) +#410 := (forall (vars (?x25 T2)) #405) +#999 := (not #410) +#990 := (not #76) +#1623 := (or #990 #999 #1600 #1611) +#1628 := (not #1623) +#1 := true +#216 := (+ #191 #88) +#223 := (= #211 #216) +#224 := (and #201 #223) +#222 := (< #191 #211) +#225 := (and #222 #224) +#226 := (exists (vars (?x76 T2)) #225) +#220 := (< #191 uf_9) +#221 := (and #70 #220) +#227 := (implies #221 #226) +#228 := (forall (vars (?x75 T2)) #227) +#229 := (and #228 true) +#217 := (<= #211 #216) +#89 := (< #88 uf_9) +#215 := (and #201 #89) +#218 := (implies #215 #217) +#219 := (forall (vars (?x71 T2) (?x72 T2)) #218) +#230 := (implies #219 #229) +#231 := (and #219 #230) +#212 := (<= #211 #191) +#213 := (implies #210 #212) +#214 := (forall (vars (?x67 T2) (?x68 T2)) #213) +#232 := (implies #214 #231) +#233 := (and #214 #232) +#206 := (<= 0::int #191) +#207 := (forall (vars (?x65 T2)) #206) +#234 := (implies #207 #233) +#235 := (and #207 #234) +#236 := (implies #205 #235) +#237 := (and #205 #236) +#196 := (= #191 #107) +#202 := (implies #201 #196) +#203 := (forall (vars (?x63 T2)) #202) +#238 := (implies #203 #237) +#239 := (and #203 #238) +#199 := (<= #191 #107) +#200 := (forall (vars (?x61 T2)) #199) +#240 := (implies #200 #239) +#241 := (and #200 #240) +#188 := (+ #177 #186) +#189 := (< #188 #107) +#187 := (< #186 uf_9) +#190 := (and #187 #189) +#195 := (not #190) +#197 := (implies #195 #196) +#198 := (forall (vars (?x60 T2)) #197) +#242 := (implies #198 #241) +#192 := (= #191 #188) +#193 := (implies #190 #192) +#194 := (forall (vars (?x59 T2)) #193) +#243 := (implies #194 #242) +#244 := (implies #184 #243) +#179 := (<= #177 #107) +#180 := (implies #112 #179) +#181 := (forall (vars (?x58 T2)) #180) +#245 := (implies #181 #244) +#178 := (< #177 uf_9) +#246 := (implies #178 #245) +#176 := (not #175) +#247 := (implies #176 #246) +#124 := (< #107 uf_9) +#133 := (and #112 #124) +#134 := (exists (vars (?x48 T2)) #133) +#248 := (implies #134 #247) +#249 := (implies true #248) +#163 := (and #162 true) +#151 := (+ #146 #88) +#158 := (<= #149 #151) +#147 := (< #146 uf_9) +#157 := (and #147 #89) +#159 := (implies #157 #158) +#160 := (forall (vars (?x53 T2) (?x54 T2)) #159) +#164 := (implies #160 #163) +#165 := (and #160 #164) +#152 := (= #149 #151) +#150 := (< #146 #149) +#153 := (and #150 #152) +#154 := (exists (vars (?x50 T2)) #153) +#148 := (and #70 #147) +#155 := (implies #148 #154) +#156 := (forall (vars (?x49 T2)) #155) +#166 := (implies #156 #165) +#167 := (and #156 #166) +#168 := (implies #145 #167) +#142 := (= uf_19 uf_14) +#169 := (implies #142 #168) +#170 := (implies #140 #169) +#137 := (= uf_16 uf_15) +#171 := (implies #137 #170) +#135 := (not #134) +#172 := (implies #135 #171) +#173 := (implies true #172) +#250 := (and #173 #249) +#120 := (+ #107 #88) +#127 := (= #115 #120) +#128 := (and #111 #127) +#126 := (< #107 #115) +#129 := (and #126 #128) +#130 := (exists (vars (?x47 T2)) #129) +#125 := (and #70 #124) +#131 := (implies #125 #130) +#132 := (forall (vars (?x46 T2)) #131) +#251 := (implies #132 #250) +#121 := (<= #115 #120) +#119 := (and #111 #89) +#122 := (implies #119 #121) +#123 := (forall (vars (?x44 T2) (?x45 T2)) #122) +#252 := (implies #123 #251) +#116 := (<= #115 #107) +#117 := (implies #114 #116) +#118 := (forall (vars (?x42 T2) (?x43 T2)) #117) +#253 := (implies #118 #252) +#108 := (<= 0::int #107) +#109 := (forall (vars (?x41 T2)) #108) +#254 := (implies #109 #253) +#255 := (implies #106 #254) +#256 := (implies true #255) +#91 := (+ #66 #88) +#98 := (= #83 #91) +#99 := (and #74 #98) +#97 := (< #66 #83) +#100 := (and #97 #99) +#101 := (exists (vars (?x38 T2)) #100) +#95 := (< #66 uf_9) +#96 := (and #70 #95) +#102 := (implies #96 #101) +#103 := (forall (vars (?x37 T2)) #102) +#257 := (implies #103 #256) +#258 := (and #103 #257) +#92 := (<= #83 #91) +#90 := (and #74 #89) +#93 := (implies #90 #92) +#94 := (forall (vars (?x33 T2) (?x34 T2)) #93) +#259 := (implies #94 #258) +#260 := (and #94 #259) +#84 := (<= #83 #66) +#85 := (implies #82 #84) +#86 := (forall (vars (?x29 T2) (?x30 T2)) #85) +#261 := (implies #86 #260) +#262 := (and #86 #261) +#79 := (<= 0::int #66) +#80 := (forall (vars (?x27 T2)) #79) +#263 := (implies #80 #262) +#264 := (and #80 #263) +#265 := (implies #78 #264) +#266 := (and #78 #265) +#267 := (implies #76 #266) +#71 := (= #66 uf_9) +#72 := (implies #70 #71) +#73 := (forall (vars (?x25 T2)) #72) +#268 := (implies #73 #267) +#68 := (implies #65 #67) +#69 := (forall (vars (?x24 T2)) #68) +#269 := (implies #69 #268) +#270 := (implies true #269) +#271 := (not #270) +#1631 := (iff #271 #1628) +#683 := (+ #88 #191) +#701 := (= #211 #683) +#704 := (and #201 #701) +#707 := (and #222 #704) +#710 := (exists (vars (?x76 T2)) #707) +#716 := (not #221) +#717 := (or #716 #710) +#722 := (forall (vars (?x75 T2)) #717) +#686 := (<= #211 #683) +#680 := (and #89 #201) +#692 := (not #680) +#693 := (or #692 #686) +#698 := (forall (vars (?x71 T2) (?x72 T2)) #693) +#735 := (not #698) +#736 := (or #735 #722) +#741 := (and #698 #736) +#674 := (or #673 #212) +#677 := (forall (vars (?x67 T2) (?x68 T2)) #674) +#747 := (not #677) +#748 := (or #747 #741) +#753 := (and #677 #748) +#759 := (not #207) +#760 := (or #759 #753) +#765 := (and #207 #760) +#670 := (= 0::int #204) +#771 := (not #670) +#772 := (or #771 #765) +#777 := (and #670 #772) +#784 := (or #783 #777) +#789 := (and #667 #784) +#795 := (not #200) +#796 := (or #795 #789) +#801 := (and #200 #796) +#651 := (or #190 #645) +#656 := (forall (vars (?x60 T2)) #651) +#807 := (not #656) +#808 := (or #807 #801) +#631 := (= #188 #191) +#637 := (or #195 #631) +#642 := (forall (vars (?x59 T2)) #637) +#816 := (not #642) +#817 := (or #816 #808) +#826 := (or #825 #817) +#625 := (or #111 #179) +#628 := (forall (vars (?x58 T2)) #625) +#834 := (not #628) +#835 := (or #834 #826) +#843 := (not #178) +#844 := (or #843 #835) +#852 := (or #175 #844) +#860 := (or #135 #852) +#540 := (= 0::int #161) +#498 := (+ #88 #146) +#525 := (<= #149 #498) +#522 := (and #89 #147) +#531 := (not #522) +#532 := (or #531 #525) +#537 := (forall (vars (?x53 T2) (?x54 T2)) #532) +#553 := (not #537) +#554 := (or #553 #540) +#559 := (and #537 #554) +#501 := (= #149 #498) +#504 := (and #150 #501) +#507 := (exists (vars (?x50 T2)) #504) +#513 := (not #148) +#514 := (or #513 #507) +#519 := (forall (vars (?x49 T2)) #514) +#565 := (not #519) +#566 := (or #565 #559) +#571 := (and #519 #566) +#578 := (or #577 #571) +#587 := (or #586 #578) +#596 := (or #595 #587) +#605 := (or #604 #596) +#613 := (or #134 #605) +#872 := (and #613 #860) +#450 := (+ #88 #107) +#468 := (= #115 #450) +#471 := (and #111 #468) +#474 := (and #126 #471) +#477 := (exists (vars (?x47 T2)) #474) +#483 := (not #125) +#484 := (or #483 #477) +#489 := (forall (vars (?x46 T2)) #484) +#878 := (not #489) +#879 := (or #878 #872) +#453 := (<= #115 #450) +#447 := (and #89 #111) +#459 := (not #447) +#460 := (or #459 #453) +#465 := (forall (vars (?x44 T2) (?x45 T2)) #460) +#887 := (not #465) +#888 := (or #887 #879) +#441 := (or #440 #116) +#444 := (forall (vars (?x42 T2) (?x43 T2)) #441) +#896 := (not #444) +#897 := (or #896 #888) +#905 := (not #109) +#906 := (or #905 #897) +#437 := (= 0::int #105) +#914 := (not #437) +#915 := (or #914 #906) +#430 := (not #96) +#431 := (or #430 #101) +#434 := (forall (vars (?x37 T2)) #431) +#930 := (not #434) +#931 := (or #930 #915) +#936 := (and #434 #931) +#423 := (not #90) +#424 := (or #423 #92) +#427 := (forall (vars (?x33 T2) (?x34 T2)) #424) +#942 := (not #427) +#943 := (or #942 #936) +#948 := (and #427 #943) +#417 := (or #416 #84) +#420 := (forall (vars (?x29 T2) (?x30 T2)) #417) +#954 := (not #420) +#955 := (or #954 #948) +#960 := (and #420 #955) +#966 := (not #80) +#967 := (or #966 #960) +#972 := (and #80 #967) +#413 := (= 0::int #77) +#978 := (not #413) +#979 := (or #978 #972) +#984 := (and #413 #979) +#991 := (or #990 #984) +#1000 := (or #999 #991) +#385 := (= 0::int #66) +#391 := (or #70 #385) +#396 := (forall (vars (?x24 T2)) #391) +#1008 := (not #396) +#1009 := (or #1008 #1000) +#1021 := (not #1009) +#1629 := (iff #1021 #1628) +#1626 := (iff #1009 #1623) +#1614 := (or #990 #1600) +#1617 := (or #999 #1614) +#1620 := (or #1611 #1617) +#1624 := (iff #1620 #1623) +#1625 := [rewrite]: #1624 +#1621 := (iff #1009 #1620) +#1618 := (iff #1000 #1617) +#1615 := (iff #991 #1614) +#1601 := (iff #984 #1600) +#1598 := (iff #979 #1597) +#1595 := (iff #972 #1594) +#1592 := (iff #967 #1591) +#1589 := (iff #960 #1588) +#1586 := (iff #955 #1585) +#1583 := (iff #948 #1582) +#1580 := (iff #943 #1579) +#1577 := (iff #936 #1576) +#1574 := (iff #931 #1571) +#1553 := (or #1159 #1499) +#1556 := (or #1522 #1553) +#1559 := (or #1533 #1556) +#1562 := (or #1542 #1559) +#1565 := (or #1547 #1562) +#1568 := (or #1550 #1565) +#1572 := (iff #1568 #1571) +#1573 := [rewrite]: #1572 +#1569 := (iff #931 #1568) +#1566 := (iff #915 #1565) +#1563 := (iff #906 #1562) +#1560 := (iff #897 #1559) +#1557 := (iff #888 #1556) +#1554 := (iff #879 #1553) +#1500 := (iff #872 #1499) +#1497 := (iff #860 #1494) +#1473 := (or #1289 #1425) +#1476 := (or #1442 #1473) +#1479 := (or #825 #1476) +#1482 := (or #1455 #1479) +#1485 := (or #1459 #1482) +#1488 := (or #175 #1485) +#1491 := (or #1470 #1488) +#1495 := (iff #1491 #1494) +#1496 := [rewrite]: #1495 +#1492 := (iff #860 #1491) +#1489 := (iff #852 #1488) +#1486 := (iff #844 #1485) +#1483 := (iff #835 #1482) +#1480 := (iff #826 #1479) +#1477 := (iff #817 #1476) +#1474 := (iff #808 #1473) +#1426 := (iff #801 #1425) +#1423 := (iff #796 #1422) +#1420 := (iff #789 #1419) +#1417 := (iff #784 #1416) +#1414 := (iff #777 #1413) +#1411 := (iff #772 #1410) +#1408 := (iff #765 #1407) +#1405 := (iff #760 #1404) +#1402 := (iff #753 #1401) +#1399 := (iff #748 #1398) +#1396 := (iff #741 #1395) +#1393 := (iff #736 #1392) +#1390 := (iff #722 #1389) +#1387 := (iff #717 #1386) +#1384 := (iff #710 #1383) +#1381 := (iff #707 #1378) +#1372 := (and #201 #1366) +#1375 := (and #1369 #1372) +#1379 := (iff #1375 #1378) +#1380 := [rewrite]: #1379 +#1376 := (iff #707 #1375) +#1373 := (iff #704 #1372) +#1367 := (iff #701 #1366) +#1368 := [rewrite]: #1367 +#1374 := [monotonicity #1368]: #1373 +#1370 := (iff #222 #1369) +#1371 := [rewrite]: #1370 +#1377 := [monotonicity #1371 #1374]: #1376 +#1382 := [trans #1377 #1380]: #1381 +#1385 := [quant-intro #1382]: #1384 +#1364 := (iff #716 #1363) +#1361 := (iff #221 #1360) +#1358 := (iff #220 #1357) +#1359 := [rewrite]: #1358 +#1362 := [monotonicity #1359]: #1361 +#1365 := [monotonicity #1362]: #1364 +#1388 := [monotonicity #1365 #1385]: #1387 +#1391 := [quant-intro #1388]: #1390 +#1353 := (iff #735 #1352) +#1350 := (iff #698 #1349) +#1347 := (iff #693 #1346) +#1343 := (iff #686 #1342) +#1345 := [rewrite]: #1343 +#1340 := (iff #692 #1339) +#1337 := (iff #680 #1334) +#1331 := (and #1056 #201) +#1335 := (iff #1331 #1334) +#1336 := [rewrite]: #1335 +#1332 := (iff #680 #1331) +#1057 := (iff #89 #1056) +#1058 := [rewrite]: #1057 +#1333 := [monotonicity #1058]: #1332 +#1338 := [trans #1333 #1336]: #1337 +#1341 := [monotonicity #1338]: #1340 +#1348 := [monotonicity #1341 #1345]: #1347 +#1351 := [quant-intro #1348]: #1350 +#1354 := [monotonicity #1351]: #1353 +#1394 := [monotonicity #1354 #1391]: #1393 +#1397 := [monotonicity #1351 #1394]: #1396 +#1329 := (iff #747 #1328) +#1326 := (iff #677 #1325) +#1323 := (iff #674 #1322) +#1320 := (iff #212 #1317) +#1321 := [rewrite]: #1320 +#1324 := [monotonicity #1321]: #1323 +#1327 := [quant-intro #1324]: #1326 +#1330 := [monotonicity #1327]: #1329 +#1400 := [monotonicity #1330 #1397]: #1399 +#1403 := [monotonicity #1327 #1400]: #1402 +#1315 := (iff #759 #1314) +#1312 := (iff #207 #1311) +#1309 := (iff #206 #1308) +#1310 := [rewrite]: #1309 +#1313 := [quant-intro #1310]: #1312 +#1316 := [monotonicity #1313]: #1315 +#1406 := [monotonicity #1316 #1403]: #1405 +#1409 := [monotonicity #1313 #1406]: #1408 +#1306 := (iff #771 #1305) +#1303 := (iff #670 #205) +#1304 := [rewrite]: #1303 +#1307 := [monotonicity #1304]: #1306 +#1412 := [monotonicity #1307 #1409]: #1411 +#1415 := [monotonicity #1304 #1412]: #1414 +#1418 := [monotonicity #1415]: #1417 +#1421 := [monotonicity #1418]: #1420 +#1301 := (iff #795 #1300) +#1298 := (iff #200 #1297) +#1295 := (iff #199 #1292) +#1296 := [rewrite]: #1295 +#1299 := [quant-intro #1296]: #1298 +#1302 := [monotonicity #1299]: #1301 +#1424 := [monotonicity #1302 #1421]: #1423 +#1427 := [monotonicity #1299 #1424]: #1426 +#1290 := (iff #807 #1289) +#1287 := (iff #656 #1286) +#1284 := (iff #651 #1281) +#1278 := (or #1275 #645) +#1282 := (iff #1278 #1281) +#1283 := [rewrite]: #1282 +#1279 := (iff #651 #1278) +#1276 := (iff #190 #1275) +#1273 := (iff #189 #1272) +#1274 := [rewrite]: #1273 +#1266 := (iff #187 #1265) +#1267 := [rewrite]: #1266 +#1277 := [monotonicity #1267 #1274]: #1276 +#1280 := [monotonicity #1277]: #1279 +#1285 := [trans #1280 #1283]: #1284 +#1288 := [quant-intro #1285]: #1287 +#1291 := [monotonicity #1288]: #1290 +#1475 := [monotonicity #1291 #1427]: #1474 +#1443 := (iff #816 #1442) +#1440 := (iff #642 #1439) +#1437 := (iff #637 #1436) +#1434 := (iff #631 #1433) +#1435 := [rewrite]: #1434 +#1429 := (iff #195 #1428) +#1430 := [monotonicity #1277]: #1429 +#1438 := [monotonicity #1430 #1435]: #1437 +#1441 := [quant-intro #1438]: #1440 +#1444 := [monotonicity #1441]: #1443 +#1478 := [monotonicity #1444 #1475]: #1477 +#1481 := [monotonicity #1478]: #1480 +#1456 := (iff #834 #1455) +#1453 := (iff #628 #1452) +#1450 := (iff #625 #1449) +#1447 := (iff #179 #1445) +#1448 := [rewrite]: #1447 +#1451 := [monotonicity #1448]: #1450 +#1454 := [quant-intro #1451]: #1453 +#1457 := [monotonicity #1454]: #1456 +#1484 := [monotonicity #1457 #1481]: #1483 +#1468 := (iff #843 #1459) +#1460 := (not #1459) +#1463 := (not #1460) +#1466 := (iff #1463 #1459) +#1467 := [rewrite]: #1466 +#1464 := (iff #843 #1463) +#1461 := (iff #178 #1460) +#1462 := [rewrite]: #1461 +#1465 := [monotonicity #1462]: #1464 +#1469 := [trans #1465 #1467]: #1468 +#1487 := [monotonicity #1469 #1484]: #1486 +#1490 := [monotonicity #1487]: #1489 +#1471 := (iff #135 #1470) +#1240 := (iff #134 #1239) +#1237 := (iff #133 #1236) +#1121 := (iff #124 #1120) +#1122 := [rewrite]: #1121 +#1238 := [monotonicity #1122]: #1237 +#1241 := [quant-intro #1238]: #1240 +#1472 := [monotonicity #1241]: #1471 +#1493 := [monotonicity #1472 #1490]: #1492 +#1498 := [trans #1493 #1496]: #1497 +#1260 := (iff #613 #1257) +#1242 := (or #577 #1233) +#1245 := (or #586 #1242) +#1248 := (or #595 #1245) +#1251 := (or #604 #1248) +#1254 := (or #1239 #1251) +#1258 := (iff #1254 #1257) +#1259 := [rewrite]: #1258 +#1255 := (iff #613 #1254) +#1252 := (iff #605 #1251) +#1249 := (iff #596 #1248) +#1246 := (iff #587 #1245) +#1243 := (iff #578 #1242) +#1234 := (iff #571 #1233) +#1231 := (iff #566 #1230) +#1228 := (iff #559 #1227) +#1225 := (iff #554 #1222) +#1219 := (or #1214 #162) +#1223 := (iff #1219 #1222) +#1224 := [rewrite]: #1223 +#1220 := (iff #554 #1219) +#1217 := (iff #540 #162) +#1218 := [rewrite]: #1217 +#1215 := (iff #553 #1214) +#1212 := (iff #537 #1211) +#1209 := (iff #532 #1208) +#1206 := (iff #525 #1205) +#1207 := [rewrite]: #1206 +#1203 := (iff #531 #1202) +#1200 := (iff #522 #1199) +#1166 := (iff #147 #1165) +#1167 := [rewrite]: #1166 +#1201 := [monotonicity #1058 #1167]: #1200 +#1204 := [monotonicity #1201]: #1203 +#1210 := [monotonicity #1204 #1207]: #1209 +#1213 := [quant-intro #1210]: #1212 +#1216 := [monotonicity #1213]: #1215 +#1221 := [monotonicity #1216 #1218]: #1220 +#1226 := [trans #1221 #1224]: #1225 +#1229 := [monotonicity #1213 #1226]: #1228 +#1197 := (iff #565 #1196) +#1194 := (iff #519 #1193) +#1191 := (iff #514 #1190) +#1188 := (iff #507 #1187) +#1185 := (iff #504 #1184) +#1181 := (iff #501 #1180) +#1183 := [rewrite]: #1181 +#1178 := (iff #150 #1177) +#1179 := [rewrite]: #1178 +#1186 := [monotonicity #1179 #1183]: #1185 +#1189 := [quant-intro #1186]: #1188 +#1172 := (iff #513 #1171) +#1169 := (iff #148 #1168) +#1170 := [monotonicity #1167]: #1169 +#1173 := [monotonicity #1170]: #1172 +#1192 := [monotonicity #1173 #1189]: #1191 +#1195 := [quant-intro #1192]: #1194 +#1198 := [monotonicity #1195]: #1197 +#1232 := [monotonicity #1198 #1229]: #1231 +#1235 := [monotonicity #1195 #1232]: #1234 +#1244 := [monotonicity #1235]: #1243 +#1247 := [monotonicity #1244]: #1246 +#1250 := [monotonicity #1247]: #1249 +#1253 := [monotonicity #1250]: #1252 +#1256 := [monotonicity #1241 #1253]: #1255 +#1261 := [trans #1256 #1259]: #1260 +#1501 := [monotonicity #1261 #1498]: #1500 +#1160 := (iff #878 #1159) +#1157 := (iff #489 #1156) +#1154 := (iff #484 #1153) +#1151 := (iff #477 #1150) +#1148 := (iff #474 #1145) +#1139 := (and #111 #1129) +#1142 := (and #1136 #1139) +#1146 := (iff #1142 #1145) +#1147 := [rewrite]: #1146 +#1143 := (iff #474 #1142) +#1140 := (iff #471 #1139) +#1130 := (iff #468 #1129) +#1134 := [rewrite]: #1130 +#1141 := [monotonicity #1134]: #1140 +#1137 := (iff #126 #1136) +#1138 := [rewrite]: #1137 +#1144 := [monotonicity #1138 #1141]: #1143 +#1149 := [trans #1144 #1147]: #1148 +#1152 := [quant-intro #1149]: #1151 +#1127 := (iff #483 #1126) +#1124 := (iff #125 #1123) +#1125 := [monotonicity #1122]: #1124 +#1128 := [monotonicity #1125]: #1127 +#1155 := [monotonicity #1128 #1152]: #1154 +#1158 := [quant-intro #1155]: #1157 +#1161 := [monotonicity #1158]: #1160 +#1555 := [monotonicity #1161 #1501]: #1554 +#1523 := (iff #887 #1522) +#1520 := (iff #465 #1519) +#1517 := (iff #460 #1516) +#1514 := (iff #453 #1513) +#1515 := [rewrite]: #1514 +#1511 := (iff #459 #1510) +#1508 := (iff #447 #1505) +#1502 := (and #1056 #111) +#1506 := (iff #1502 #1505) +#1507 := [rewrite]: #1506 +#1503 := (iff #447 #1502) +#1504 := [monotonicity #1058]: #1503 +#1509 := [trans #1504 #1507]: #1508 +#1512 := [monotonicity #1509]: #1511 +#1518 := [monotonicity #1512 #1515]: #1517 +#1521 := [quant-intro #1518]: #1520 +#1524 := [monotonicity #1521]: #1523 +#1558 := [monotonicity #1524 #1555]: #1557 +#1534 := (iff #896 #1533) +#1531 := (iff #444 #1530) +#1528 := (iff #441 #1527) +#1525 := (iff #116 #1135) +#1526 := [rewrite]: #1525 +#1529 := [monotonicity #1526]: #1528 +#1532 := [quant-intro #1529]: #1531 +#1535 := [monotonicity #1532]: #1534 +#1561 := [monotonicity #1535 #1558]: #1560 +#1543 := (iff #905 #1542) +#1540 := (iff #109 #1539) +#1537 := (iff #108 #1536) +#1538 := [rewrite]: #1537 +#1541 := [quant-intro #1538]: #1540 +#1544 := [monotonicity #1541]: #1543 +#1564 := [monotonicity #1544 #1561]: #1563 +#1548 := (iff #914 #1547) +#1545 := (iff #437 #106) +#1546 := [rewrite]: #1545 +#1549 := [monotonicity #1546]: #1548 +#1567 := [monotonicity #1549 #1564]: #1566 +#1551 := (iff #930 #1550) +#1115 := (iff #434 #1114) +#1112 := (iff #431 #1111) +#1109 := (iff #101 #1108) +#1106 := (iff #100 #1103) +#1097 := (and #74 #1091) +#1100 := (and #1094 #1097) +#1104 := (iff #1100 #1103) +#1105 := [rewrite]: #1104 +#1101 := (iff #100 #1100) +#1098 := (iff #99 #1097) +#1092 := (iff #98 #1091) +#1093 := [rewrite]: #1092 +#1099 := [monotonicity #1093]: #1098 +#1095 := (iff #97 #1094) +#1096 := [rewrite]: #1095 +#1102 := [monotonicity #1096 #1099]: #1101 +#1107 := [trans #1102 #1105]: #1106 +#1110 := [quant-intro #1107]: #1109 +#1089 := (iff #430 #1088) +#1086 := (iff #96 #1085) +#1083 := (iff #95 #1082) +#1084 := [rewrite]: #1083 +#1087 := [monotonicity #1084]: #1086 +#1090 := [monotonicity #1087]: #1089 +#1113 := [monotonicity #1090 #1110]: #1112 +#1116 := [quant-intro #1113]: #1115 +#1552 := [monotonicity #1116]: #1551 +#1570 := [monotonicity #1552 #1567]: #1569 +#1575 := [trans #1570 #1573]: #1574 +#1578 := [monotonicity #1116 #1575]: #1577 +#1077 := (iff #942 #1076) +#1074 := (iff #427 #1073) +#1071 := (iff #424 #1070) +#1065 := (iff #92 #1066) +#1067 := [rewrite]: #1065 +#1063 := (iff #423 #1062) +#1060 := (iff #90 #1059) +#1061 := [monotonicity #1058]: #1060 +#1064 := [monotonicity #1061]: #1063 +#1072 := [monotonicity #1064 #1067]: #1071 +#1075 := [quant-intro #1072]: #1074 +#1078 := [monotonicity #1075]: #1077 +#1581 := [monotonicity #1078 #1578]: #1580 +#1584 := [monotonicity #1075 #1581]: #1583 +#1051 := (iff #954 #1050) +#1048 := (iff #420 #1047) +#1045 := (iff #417 #1044) +#1039 := (iff #84 #1040) +#1043 := [rewrite]: #1039 +#1046 := [monotonicity #1043]: #1045 +#1049 := [quant-intro #1046]: #1048 +#1052 := [monotonicity #1049]: #1051 +#1587 := [monotonicity #1052 #1584]: #1586 +#1590 := [monotonicity #1049 #1587]: #1589 +#1036 := (iff #966 #1035) +#1033 := (iff #80 #1032) +#1029 := (iff #79 #1031) +#1030 := [rewrite]: #1029 +#1034 := [quant-intro #1030]: #1033 +#1037 := [monotonicity #1034]: #1036 +#1593 := [monotonicity #1037 #1590]: #1592 +#1596 := [monotonicity #1034 #1593]: #1595 +#1027 := (iff #978 #1026) +#1024 := (iff #413 #78) +#1025 := [rewrite]: #1024 +#1028 := [monotonicity #1025]: #1027 +#1599 := [monotonicity #1028 #1596]: #1598 +#1602 := [monotonicity #1025 #1599]: #1601 +#1616 := [monotonicity #1602]: #1615 +#1619 := [monotonicity #1616]: #1618 +#1612 := (iff #1008 #1611) +#1609 := (iff #396 #1608) +#1606 := (iff #391 #1605) +#1603 := (iff #385 #67) +#1604 := [rewrite]: #1603 +#1607 := [monotonicity #1604]: #1606 +#1610 := [quant-intro #1607]: #1609 +#1613 := [monotonicity #1610]: #1612 +#1622 := [monotonicity #1613 #1619]: #1621 +#1627 := [trans #1622 #1625]: #1626 +#1630 := [monotonicity #1627]: #1629 +#1022 := (iff #271 #1021) +#1019 := (iff #270 #1009) +#1014 := (implies true #1009) +#1017 := (iff #1014 #1009) +#1018 := [rewrite]: #1017 +#1015 := (iff #270 #1014) +#1012 := (iff #269 #1009) +#1005 := (implies #396 #1000) +#1010 := (iff #1005 #1009) +#1011 := [rewrite]: #1010 +#1006 := (iff #269 #1005) +#1003 := (iff #268 #1000) +#996 := (implies #410 #991) +#1001 := (iff #996 #1000) +#1002 := [rewrite]: #1001 +#997 := (iff #268 #996) +#994 := (iff #267 #991) +#987 := (implies #76 #984) +#992 := (iff #987 #991) +#993 := [rewrite]: #992 +#988 := (iff #267 #987) +#985 := (iff #266 #984) +#982 := (iff #265 #979) +#975 := (implies #413 #972) +#980 := (iff #975 #979) +#981 := [rewrite]: #980 +#976 := (iff #265 #975) +#973 := (iff #264 #972) +#970 := (iff #263 #967) +#963 := (implies #80 #960) +#968 := (iff #963 #967) +#969 := [rewrite]: #968 +#964 := (iff #263 #963) +#961 := (iff #262 #960) +#958 := (iff #261 #955) +#951 := (implies #420 #948) +#956 := (iff #951 #955) +#957 := [rewrite]: #956 +#952 := (iff #261 #951) +#949 := (iff #260 #948) +#946 := (iff #259 #943) +#939 := (implies #427 #936) +#944 := (iff #939 #943) +#945 := [rewrite]: #944 +#940 := (iff #259 #939) +#937 := (iff #258 #936) +#934 := (iff #257 #931) +#927 := (implies #434 #915) +#932 := (iff #927 #931) +#933 := [rewrite]: #932 +#928 := (iff #257 #927) +#925 := (iff #256 #915) +#920 := (implies true #915) +#923 := (iff #920 #915) +#924 := [rewrite]: #923 +#921 := (iff #256 #920) +#918 := (iff #255 #915) +#911 := (implies #437 #906) +#916 := (iff #911 #915) +#917 := [rewrite]: #916 +#912 := (iff #255 #911) +#909 := (iff #254 #906) +#902 := (implies #109 #897) +#907 := (iff #902 #906) +#908 := [rewrite]: #907 +#903 := (iff #254 #902) +#900 := (iff #253 #897) +#893 := (implies #444 #888) +#898 := (iff #893 #897) +#899 := [rewrite]: #898 +#894 := (iff #253 #893) +#891 := (iff #252 #888) +#884 := (implies #465 #879) +#889 := (iff #884 #888) +#890 := [rewrite]: #889 +#885 := (iff #252 #884) +#882 := (iff #251 #879) +#875 := (implies #489 #872) +#880 := (iff #875 #879) +#881 := [rewrite]: #880 +#876 := (iff #251 #875) +#873 := (iff #250 #872) +#870 := (iff #249 #860) +#865 := (implies true #860) +#868 := (iff #865 #860) +#869 := [rewrite]: #868 +#866 := (iff #249 #865) +#863 := (iff #248 #860) +#857 := (implies #134 #852) +#861 := (iff #857 #860) +#862 := [rewrite]: #861 +#858 := (iff #248 #857) +#855 := (iff #247 #852) +#849 := (implies #176 #844) +#853 := (iff #849 #852) +#854 := [rewrite]: #853 +#850 := (iff #247 #849) +#847 := (iff #246 #844) +#840 := (implies #178 #835) +#845 := (iff #840 #844) +#846 := [rewrite]: #845 +#841 := (iff #246 #840) +#838 := (iff #245 #835) +#831 := (implies #628 #826) +#836 := (iff #831 #835) +#837 := [rewrite]: #836 +#832 := (iff #245 #831) +#829 := (iff #244 #826) +#822 := (implies #184 #817) +#827 := (iff #822 #826) +#828 := [rewrite]: #827 +#823 := (iff #244 #822) +#820 := (iff #243 #817) +#813 := (implies #642 #808) +#818 := (iff #813 #817) +#819 := [rewrite]: #818 +#814 := (iff #243 #813) +#811 := (iff #242 #808) +#804 := (implies #656 #801) +#809 := (iff #804 #808) +#810 := [rewrite]: #809 +#805 := (iff #242 #804) +#802 := (iff #241 #801) +#799 := (iff #240 #796) +#792 := (implies #200 #789) +#797 := (iff #792 #796) +#798 := [rewrite]: #797 +#793 := (iff #240 #792) +#790 := (iff #239 #789) +#787 := (iff #238 #784) +#780 := (implies #667 #777) +#785 := (iff #780 #784) +#786 := [rewrite]: #785 +#781 := (iff #238 #780) +#778 := (iff #237 #777) +#775 := (iff #236 #772) +#768 := (implies #670 #765) +#773 := (iff #768 #772) +#774 := [rewrite]: #773 +#769 := (iff #236 #768) +#766 := (iff #235 #765) +#763 := (iff #234 #760) +#756 := (implies #207 #753) +#761 := (iff #756 #760) +#762 := [rewrite]: #761 +#757 := (iff #234 #756) +#754 := (iff #233 #753) +#751 := (iff #232 #748) +#744 := (implies #677 #741) +#749 := (iff #744 #748) +#750 := [rewrite]: #749 +#745 := (iff #232 #744) +#742 := (iff #231 #741) +#739 := (iff #230 #736) +#732 := (implies #698 #722) +#737 := (iff #732 #736) +#738 := [rewrite]: #737 +#733 := (iff #230 #732) +#730 := (iff #229 #722) +#725 := (and #722 true) +#728 := (iff #725 #722) +#729 := [rewrite]: #728 +#726 := (iff #229 #725) +#723 := (iff #228 #722) +#720 := (iff #227 #717) +#713 := (implies #221 #710) +#718 := (iff #713 #717) +#719 := [rewrite]: #718 +#714 := (iff #227 #713) +#711 := (iff #226 #710) +#708 := (iff #225 #707) +#705 := (iff #224 #704) +#702 := (iff #223 #701) +#684 := (= #216 #683) +#685 := [rewrite]: #684 +#703 := [monotonicity #685]: #702 +#706 := [monotonicity #703]: #705 +#709 := [monotonicity #706]: #708 +#712 := [quant-intro #709]: #711 +#715 := [monotonicity #712]: #714 +#721 := [trans #715 #719]: #720 +#724 := [quant-intro #721]: #723 +#727 := [monotonicity #724]: #726 +#731 := [trans #727 #729]: #730 +#699 := (iff #219 #698) +#696 := (iff #218 #693) +#689 := (implies #680 #686) +#694 := (iff #689 #693) +#695 := [rewrite]: #694 +#690 := (iff #218 #689) +#687 := (iff #217 #686) +#688 := [monotonicity #685]: #687 +#681 := (iff #215 #680) +#682 := [rewrite]: #681 +#691 := [monotonicity #682 #688]: #690 +#697 := [trans #691 #695]: #696 +#700 := [quant-intro #697]: #699 +#734 := [monotonicity #700 #731]: #733 +#740 := [trans #734 #738]: #739 +#743 := [monotonicity #700 #740]: #742 +#678 := (iff #214 #677) +#675 := (iff #213 #674) +#676 := [rewrite]: #675 +#679 := [quant-intro #676]: #678 +#746 := [monotonicity #679 #743]: #745 +#752 := [trans #746 #750]: #751 +#755 := [monotonicity #679 #752]: #754 +#758 := [monotonicity #755]: #757 +#764 := [trans #758 #762]: #763 +#767 := [monotonicity #764]: #766 +#671 := (iff #205 #670) +#672 := [rewrite]: #671 +#770 := [monotonicity #672 #767]: #769 +#776 := [trans #770 #774]: #775 +#779 := [monotonicity #672 #776]: #778 +#668 := (iff #203 #667) +#665 := (iff #202 #662) +#659 := (implies #201 #645) +#663 := (iff #659 #662) +#664 := [rewrite]: #663 +#660 := (iff #202 #659) +#646 := (iff #196 #645) +#647 := [rewrite]: #646 +#661 := [monotonicity #647]: #660 +#666 := [trans #661 #664]: #665 +#669 := [quant-intro #666]: #668 +#782 := [monotonicity #669 #779]: #781 +#788 := [trans #782 #786]: #787 +#791 := [monotonicity #669 #788]: #790 +#794 := [monotonicity #791]: #793 +#800 := [trans #794 #798]: #799 +#803 := [monotonicity #800]: #802 +#657 := (iff #198 #656) +#654 := (iff #197 #651) +#648 := (implies #195 #645) +#652 := (iff #648 #651) +#653 := [rewrite]: #652 +#649 := (iff #197 #648) +#650 := [monotonicity #647]: #649 +#655 := [trans #650 #653]: #654 +#658 := [quant-intro #655]: #657 +#806 := [monotonicity #658 #803]: #805 +#812 := [trans #806 #810]: #811 +#643 := (iff #194 #642) +#640 := (iff #193 #637) +#634 := (implies #190 #631) +#638 := (iff #634 #637) +#639 := [rewrite]: #638 +#635 := (iff #193 #634) +#632 := (iff #192 #631) +#633 := [rewrite]: #632 +#636 := [monotonicity #633]: #635 +#641 := [trans #636 #639]: #640 +#644 := [quant-intro #641]: #643 +#815 := [monotonicity #644 #812]: #814 +#821 := [trans #815 #819]: #820 +#824 := [monotonicity #821]: #823 +#830 := [trans #824 #828]: #829 +#629 := (iff #181 #628) +#626 := (iff #180 #625) +#627 := [rewrite]: #626 +#630 := [quant-intro #627]: #629 +#833 := [monotonicity #630 #830]: #832 +#839 := [trans #833 #837]: #838 +#842 := [monotonicity #839]: #841 +#848 := [trans #842 #846]: #847 +#851 := [monotonicity #848]: #850 +#856 := [trans #851 #854]: #855 +#859 := [monotonicity #856]: #858 +#864 := [trans #859 #862]: #863 +#867 := [monotonicity #864]: #866 +#871 := [trans #867 #869]: #870 +#623 := (iff #173 #613) +#618 := (implies true #613) +#621 := (iff #618 #613) +#622 := [rewrite]: #621 +#619 := (iff #173 #618) +#616 := (iff #172 #613) +#610 := (implies #135 #605) +#614 := (iff #610 #613) +#615 := [rewrite]: #614 +#611 := (iff #172 #610) +#608 := (iff #171 #605) +#601 := (implies #492 #596) +#606 := (iff #601 #605) +#607 := [rewrite]: #606 +#602 := (iff #171 #601) +#599 := (iff #170 #596) +#592 := (implies #140 #587) +#597 := (iff #592 #596) +#598 := [rewrite]: #597 +#593 := (iff #170 #592) +#590 := (iff #169 #587) +#583 := (implies #495 #578) +#588 := (iff #583 #587) +#589 := [rewrite]: #588 +#584 := (iff #169 #583) +#581 := (iff #168 #578) +#574 := (implies #145 #571) +#579 := (iff #574 #578) +#580 := [rewrite]: #579 +#575 := (iff #168 #574) +#572 := (iff #167 #571) +#569 := (iff #166 #566) +#562 := (implies #519 #559) +#567 := (iff #562 #566) +#568 := [rewrite]: #567 +#563 := (iff #166 #562) +#560 := (iff #165 #559) +#557 := (iff #164 #554) +#550 := (implies #537 #540) +#555 := (iff #550 #554) +#556 := [rewrite]: #555 +#551 := (iff #164 #550) +#548 := (iff #163 #540) +#543 := (and #540 true) +#546 := (iff #543 #540) +#547 := [rewrite]: #546 +#544 := (iff #163 #543) +#541 := (iff #162 #540) +#542 := [rewrite]: #541 +#545 := [monotonicity #542]: #544 +#549 := [trans #545 #547]: #548 +#538 := (iff #160 #537) +#535 := (iff #159 #532) +#528 := (implies #522 #525) +#533 := (iff #528 #532) +#534 := [rewrite]: #533 +#529 := (iff #159 #528) +#526 := (iff #158 #525) +#499 := (= #151 #498) +#500 := [rewrite]: #499 +#527 := [monotonicity #500]: #526 +#523 := (iff #157 #522) +#524 := [rewrite]: #523 +#530 := [monotonicity #524 #527]: #529 +#536 := [trans #530 #534]: #535 +#539 := [quant-intro #536]: #538 +#552 := [monotonicity #539 #549]: #551 +#558 := [trans #552 #556]: #557 +#561 := [monotonicity #539 #558]: #560 +#520 := (iff #156 #519) +#517 := (iff #155 #514) +#510 := (implies #148 #507) +#515 := (iff #510 #514) +#516 := [rewrite]: #515 +#511 := (iff #155 #510) +#508 := (iff #154 #507) +#505 := (iff #153 #504) +#502 := (iff #152 #501) +#503 := [monotonicity #500]: #502 +#506 := [monotonicity #503]: #505 +#509 := [quant-intro #506]: #508 +#512 := [monotonicity #509]: #511 +#518 := [trans #512 #516]: #517 +#521 := [quant-intro #518]: #520 +#564 := [monotonicity #521 #561]: #563 +#570 := [trans #564 #568]: #569 +#573 := [monotonicity #521 #570]: #572 +#576 := [monotonicity #573]: #575 +#582 := [trans #576 #580]: #581 +#496 := (iff #142 #495) +#497 := [rewrite]: #496 +#585 := [monotonicity #497 #582]: #584 +#591 := [trans #585 #589]: #590 +#594 := [monotonicity #591]: #593 +#600 := [trans #594 #598]: #599 +#493 := (iff #137 #492) +#494 := [rewrite]: #493 +#603 := [monotonicity #494 #600]: #602 +#609 := [trans #603 #607]: #608 +#612 := [monotonicity #609]: #611 +#617 := [trans #612 #615]: #616 +#620 := [monotonicity #617]: #619 +#624 := [trans #620 #622]: #623 +#874 := [monotonicity #624 #871]: #873 +#490 := (iff #132 #489) +#487 := (iff #131 #484) +#480 := (implies #125 #477) +#485 := (iff #480 #484) +#486 := [rewrite]: #485 +#481 := (iff #131 #480) +#478 := (iff #130 #477) +#475 := (iff #129 #474) +#472 := (iff #128 #471) +#469 := (iff #127 #468) +#451 := (= #120 #450) +#452 := [rewrite]: #451 +#470 := [monotonicity #452]: #469 +#473 := [monotonicity #470]: #472 +#476 := [monotonicity #473]: #475 +#479 := [quant-intro #476]: #478 +#482 := [monotonicity #479]: #481 +#488 := [trans #482 #486]: #487 +#491 := [quant-intro #488]: #490 +#877 := [monotonicity #491 #874]: #876 +#883 := [trans #877 #881]: #882 +#466 := (iff #123 #465) +#463 := (iff #122 #460) +#456 := (implies #447 #453) +#461 := (iff #456 #460) +#462 := [rewrite]: #461 +#457 := (iff #122 #456) +#454 := (iff #121 #453) +#455 := [monotonicity #452]: #454 +#448 := (iff #119 #447) +#449 := [rewrite]: #448 +#458 := [monotonicity #449 #455]: #457 +#464 := [trans #458 #462]: #463 +#467 := [quant-intro #464]: #466 +#886 := [monotonicity #467 #883]: #885 +#892 := [trans #886 #890]: #891 +#445 := (iff #118 #444) +#442 := (iff #117 #441) +#443 := [rewrite]: #442 +#446 := [quant-intro #443]: #445 +#895 := [monotonicity #446 #892]: #894 +#901 := [trans #895 #899]: #900 +#904 := [monotonicity #901]: #903 +#910 := [trans #904 #908]: #909 +#438 := (iff #106 #437) +#439 := [rewrite]: #438 +#913 := [monotonicity #439 #910]: #912 +#919 := [trans #913 #917]: #918 +#922 := [monotonicity #919]: #921 +#926 := [trans #922 #924]: #925 +#435 := (iff #103 #434) +#432 := (iff #102 #431) +#433 := [rewrite]: #432 +#436 := [quant-intro #433]: #435 +#929 := [monotonicity #436 #926]: #928 +#935 := [trans #929 #933]: #934 +#938 := [monotonicity #436 #935]: #937 +#428 := (iff #94 #427) +#425 := (iff #93 #424) +#426 := [rewrite]: #425 +#429 := [quant-intro #426]: #428 +#941 := [monotonicity #429 #938]: #940 +#947 := [trans #941 #945]: #946 +#950 := [monotonicity #429 #947]: #949 +#421 := (iff #86 #420) +#418 := (iff #85 #417) +#419 := [rewrite]: #418 +#422 := [quant-intro #419]: #421 +#953 := [monotonicity #422 #950]: #952 +#959 := [trans #953 #957]: #958 +#962 := [monotonicity #422 #959]: #961 +#965 := [monotonicity #962]: #964 +#971 := [trans #965 #969]: #970 +#974 := [monotonicity #971]: #973 +#414 := (iff #78 #413) +#415 := [rewrite]: #414 +#977 := [monotonicity #415 #974]: #976 +#983 := [trans #977 #981]: #982 +#986 := [monotonicity #415 #983]: #985 +#989 := [monotonicity #986]: #988 +#995 := [trans #989 #993]: #994 +#411 := (iff #73 #410) +#408 := (iff #72 #405) +#402 := (implies #70 #399) +#406 := (iff #402 #405) +#407 := [rewrite]: #406 +#403 := (iff #72 #402) +#400 := (iff #71 #399) +#401 := [rewrite]: #400 +#404 := [monotonicity #401]: #403 +#409 := [trans #404 #407]: #408 +#412 := [quant-intro #409]: #411 +#998 := [monotonicity #412 #995]: #997 +#1004 := [trans #998 #1002]: #1003 +#397 := (iff #69 #396) +#394 := (iff #68 #391) +#388 := (implies #65 #385) +#392 := (iff #388 #391) +#393 := [rewrite]: #392 +#389 := (iff #68 #388) +#386 := (iff #67 #385) +#387 := [rewrite]: #386 +#390 := [monotonicity #387]: #389 +#395 := [trans #390 #393]: #394 +#398 := [quant-intro #395]: #397 +#1007 := [monotonicity #398 #1004]: #1006 +#1013 := [trans #1007 #1011]: #1012 +#1016 := [monotonicity #1013]: #1015 +#1020 := [trans #1016 #1018]: #1019 +#1023 := [monotonicity #1020]: #1022 +#1632 := [trans #1023 #1630]: #1631 +#384 := [asserted]: #271 +#1633 := [mp #384 #1632]: #1628 +#1634 := [not-or-elim #1633]: #76 +#1697 := [mp~ #1634 #1659]: #76 +#4041 := [mp #1697 #4040]: #4036 +#5203 := (not #4036) +#5204 := (or #5203 #2873) +#5205 := [quant-inst]: #5204 +#8153 := [unit-resolution #5205 #4041 #8152]: false +#8156 := [lemma #8153]: #2873 +#3630 := (or #2888 #1758) +#3965 := [def-axiom]: #3630 +#10020 := [unit-resolution #3965 #8156]: #2888 +#2893 := (not #2888) +#4382 := (or #2893 #4379) +#4385 := (not #4382) +#4057 := (pattern #74 #81) +#2319 := (not #81) +#2865 := (or #74 #2319 #1040) +#4058 := (forall (vars (?x29 T2) (?x30 T2)) (:pat #4057) #2865) +#4063 := (not #4058) +#4388 := (or #4063 #4385) +#4391 := (not #4388) +decl ?x30!1 :: T2 +#1719 := ?x30!1 +#1723 := (uf_12 ?x30!1) +#2334 := (* -1::int #1723) +decl ?x29!2 :: T2 +#1720 := ?x29!2 +#1721 := (uf_12 ?x29!2) +#2335 := (+ #1721 #2334) +#2336 := (<= #2335 0::int) +#1727 := (up_13 ?x30!1) +#1726 := (up_13 ?x29!2) +#1766 := (not #1726) +#1968 := (or #1766 #1727 #2336) +#8727 := [hypothesis]: #1726 +#5149 := (or #5203 #1766) +#5178 := [quant-inst]: #5149 +#8728 := [unit-resolution #5178 #4041 #8727]: false +#8729 := [lemma #8728]: #1766 +#3559 := (or #1968 #1726) +#3644 := [def-axiom]: #3559 +#10021 := [unit-resolution #3644 #8729]: #1968 +#2108 := (not #1968) +#4394 := (or #2108 #4391) +#4397 := (not #4394) +#4049 := (forall (vars (?x27 T2)) (:pat #4042) #1031) +#4054 := (not #4049) +#4400 := (or #4054 #4397) +#4403 := (not #4400) +decl ?x27!0 :: T2 +#1704 := ?x27!0 +#1705 := (uf_12 ?x27!0) +#1706 := (>= #1705 0::int) +#1707 := (not #1706) +#4406 := (or #1707 #4403) +#4409 := (not #4406) +#4412 := (or #1026 #4409) +#4415 := (not #4412) +#4422 := (forall (vars (?x24 T2)) (:pat #4042) #1605) +#4425 := (iff #1608 #4422) +#4423 := (iff #1605 #1605) +#4424 := [refl]: #4423 +#4426 := [quant-intro #4424]: #4425 +#1933 := (~ #1608 #1608) +#2022 := (~ #1605 #1605) +#2023 := [refl]: #2022 +#1934 := [nnf-pos #2023]: #1933 +#1638 := [not-or-elim #1633]: #1608 +#1765 := [mp~ #1638 #1934]: #1608 +#4427 := [mp #1765 #4426]: #4422 +#4964 := [hypothesis]: #1026 +#3570 := (not #4422) +#4986 := (or #3570 #78) +#4909 := (= uf_11 uf_11) +#4907 := (not #4909) +#4899 := (or #4907 #78) +#4987 := (or #3570 #4899) +#4989 := (iff #4987 #4986) +#4980 := (iff #4986 #4986) +#5014 := [rewrite]: #4980 +#4981 := (iff #4899 #78) +#4970 := (or false #78) +#4974 := (iff #4970 #78) +#4975 := [rewrite]: #4974 +#4973 := (iff #4899 #4970) +#4923 := (iff #4907 false) +#8612 := (not true) +#8647 := (iff #8612 false) +#8648 := [rewrite]: #8647 +#4921 := (iff #4907 #8612) +#4919 := (iff #4909 true) +#4920 := [rewrite]: #4919 +#4922 := [monotonicity #4920]: #4921 +#4972 := [trans #4922 #8648]: #4923 +#4963 := [monotonicity #4972]: #4973 +#4982 := [trans #4963 #4975]: #4981 +#4990 := [monotonicity #4982]: #4989 +#5015 := [trans #4990 #5014]: #4989 +#4988 := [quant-inst]: #4987 +#5016 := [mp #4988 #5015]: #4986 +#4971 := [unit-resolution #5016 #4964 #4427]: false +#5020 := [lemma #4971]: #78 +#4418 := (or #1026 #4415) +#3323 := (forall (vars (?x76 T2)) #3312) +#3330 := (not #3323) +#3308 := (forall (vars (?x71 T2) (?x72 T2)) #3303) +#3329 := (not #3308) +#3331 := (or #2159 #2721 #3329 #3330) +#3332 := (not #3331) +#3337 := (or #3286 #3332) +#3344 := (not #3337) +#3263 := (forall (vars (?x67 T2) (?x68 T2)) #3258) +#3343 := (not #3263) +#3345 := (or #3343 #3344) +#3346 := (not #3345) +#3351 := (or #3240 #3346) +#3357 := (not #3351) +#3358 := (or #1314 #3357) +#3359 := (not #3358) +#3364 := (or #2079 #3359) +#3370 := (not #3364) +#3371 := (or #1305 #3370) +#3372 := (not #3371) +#3377 := (or #1305 #3372) +#3383 := (not #3377) +#3384 := (or #783 #3383) +#3385 := (not #3384) +#3390 := (or #2664 #3385) +#3396 := (not #3390) +#3397 := (or #1300 #3396) +#3398 := (not #3397) +#3403 := (or #2655 #3398) +#3411 := (not #3403) +#3217 := (forall (vars (?x59 T2)) #3212) +#3410 := (not #3217) +#3199 := (forall (vars (?x60 T2)) #3196) +#3409 := (not #3199) +#3412 := (or #175 #825 #1455 #1459 #2015 #2017 #3409 #3410 #3411) +#3413 := (not #3412) +#3129 := (forall (vars (?x53 T2) (?x54 T2)) #3124) +#3135 := (not #3129) +#3136 := (or #162 #3135) +#3137 := (not #3136) +#3164 := (or #3137 #3161) +#3171 := (not #3164) +#3107 := (forall (vars (?x49 T2)) #3102) +#3170 := (not #3107) +#3172 := (or #3170 #3171) +#3173 := (not #3172) +#3070 := (forall (vars (?x50 T2)) #3059) +#3076 := (not #3070) +#3077 := (or #1894 #2504 #3076) +#3078 := (not #3077) +#3178 := (or #3078 #3173) +#3185 := (not #3178) +#3055 := (forall (vars (?x48 T2)) #3044) +#3184 := (not #3055) +#3186 := (or #595 #577 #604 #586 #3184 #3185) +#3187 := (not #3186) +#3418 := (or #3187 #3413) +#3428 := (not #3418) +#3041 := (forall (vars (?x46 T2)) #3036) +#3427 := (not #3041) +#3013 := (forall (vars (?x37 T2)) #3008) +#3426 := (not #3013) +#2985 := (forall (vars (?x42 T2) (?x43 T2)) #2980) +#3425 := (not #2985) +#2962 := (forall (vars (?x44 T2) (?x45 T2)) #2957) +#3424 := (not #2962) +#3429 := (or #1547 #1542 #3424 #3425 #3426 #3427 #3428) +#3430 := (not #3429) +#2930 := (forall (vars (?x38 T2)) #2919) +#2936 := (not #2930) +#2937 := (or #1788 #2366 #2936) +#2938 := (not #2937) +#3435 := (or #2938 #3430) +#3442 := (not #3435) +#2915 := (forall (vars (?x33 T2) (?x34 T2)) #2910) +#3441 := (not #2915) +#3443 := (or #3441 #3442) +#3444 := (not #3443) +#3449 := (or #2893 #3444) +#3456 := (not #3449) +#2870 := (forall (vars (?x29 T2) (?x30 T2)) #2865) +#3455 := (not #2870) +#3457 := (or #3455 #3456) +#3458 := (not #3457) +#3463 := (or #2108 #3458) +#3469 := (not #3463) +#3470 := (or #1035 #3469) +#3471 := (not #3470) +#3476 := (or #1707 #3471) +#3482 := (not #3476) +#3483 := (or #1026 #3482) +#3484 := (not #3483) +#3489 := (or #1026 #3484) +#4419 := (iff #3489 #4418) +#4416 := (iff #3484 #4415) +#4413 := (iff #3483 #4412) +#4410 := (iff #3482 #4409) +#4407 := (iff #3476 #4406) +#4404 := (iff #3471 #4403) +#4401 := (iff #3470 #4400) +#4398 := (iff #3469 #4397) +#4395 := (iff #3463 #4394) +#4392 := (iff #3458 #4391) +#4389 := (iff #3457 #4388) +#4386 := (iff #3456 #4385) +#4383 := (iff #3449 #4382) +#4380 := (iff #3444 #4379) +#4377 := (iff #3443 #4376) +#4374 := (iff #3442 #4373) +#4371 := (iff #3435 #4370) +#4368 := (iff #3430 #4367) +#4365 := (iff #3429 #4364) +#4362 := (iff #3428 #4361) +#4359 := (iff #3418 #4358) +#4356 := (iff #3413 #4355) +#4353 := (iff #3412 #4352) +#4350 := (iff #3411 #4349) +#4347 := (iff #3403 #4346) +#4344 := (iff #3398 #4343) +#4341 := (iff #3397 #4340) +#4338 := (iff #3396 #4337) +#4335 := (iff #3390 #4334) +#4332 := (iff #3385 #4331) +#4329 := (iff #3384 #4328) +#4326 := (iff #3383 #4325) +#4323 := (iff #3377 #4322) +#4320 := (iff #3372 #4319) +#4317 := (iff #3371 #4316) +#4314 := (iff #3370 #4313) +#4311 := (iff #3364 #4310) +#4308 := (iff #3359 #4307) +#4305 := (iff #3358 #4304) +#4302 := (iff #3357 #4301) +#4299 := (iff #3351 #4298) +#4296 := (iff #3346 #4295) +#4293 := (iff #3345 #4292) +#4290 := (iff #3344 #4289) +#4287 := (iff #3337 #4286) +#4284 := (iff #3332 #4283) +#4281 := (iff #3331 #4280) +#4278 := (iff #3330 #4277) +#4275 := (iff #3323 #4272) +#4273 := (iff #3312 #3312) +#4274 := [refl]: #4273 +#4276 := [quant-intro #4274]: #4275 +#4279 := [monotonicity #4276]: #4278 +#4269 := (iff #3329 #4268) +#4266 := (iff #3308 #4263) +#4264 := (iff #3303 #3303) +#4265 := [refl]: #4264 +#4267 := [quant-intro #4265]: #4266 +#4270 := [monotonicity #4267]: #4269 +#4282 := [monotonicity #4270 #4279]: #4281 +#4285 := [monotonicity #4282]: #4284 +#4288 := [monotonicity #4285]: #4287 +#4291 := [monotonicity #4288]: #4290 +#4261 := (iff #3343 #4260) +#4258 := (iff #3263 #4255) +#4256 := (iff #3258 #3258) +#4257 := [refl]: #4256 +#4259 := [quant-intro #4257]: #4258 +#4262 := [monotonicity #4259]: #4261 +#4294 := [monotonicity #4262 #4291]: #4293 +#4297 := [monotonicity #4294]: #4296 +#4300 := [monotonicity #4297]: #4299 +#4303 := [monotonicity #4300]: #4302 +#4252 := (iff #1314 #4251) +#4249 := (iff #1311 #4246) +#4247 := (iff #1308 #1308) +#4248 := [refl]: #4247 +#4250 := [quant-intro #4248]: #4249 +#4253 := [monotonicity #4250]: #4252 +#4306 := [monotonicity #4253 #4303]: #4305 +#4309 := [monotonicity #4306]: #4308 +#4312 := [monotonicity #4309]: #4311 +#4315 := [monotonicity #4312]: #4314 +#4318 := [monotonicity #4315]: #4317 +#4321 := [monotonicity #4318]: #4320 +#4324 := [monotonicity #4321]: #4323 +#4327 := [monotonicity #4324]: #4326 +#4244 := (iff #783 #4243) +#4241 := (iff #667 #4238) +#4239 := (iff #662 #662) +#4240 := [refl]: #4239 +#4242 := [quant-intro #4240]: #4241 +#4245 := [monotonicity #4242]: #4244 +#4330 := [monotonicity #4245 #4327]: #4329 +#4333 := [monotonicity #4330]: #4332 +#4336 := [monotonicity #4333]: #4335 +#4339 := [monotonicity #4336]: #4338 +#4235 := (iff #1300 #4234) +#4232 := (iff #1297 #4229) +#4230 := (iff #1292 #1292) +#4231 := [refl]: #4230 +#4233 := [quant-intro #4231]: #4232 +#4236 := [monotonicity #4233]: #4235 +#4342 := [monotonicity #4236 #4339]: #4341 +#4345 := [monotonicity #4342]: #4344 +#4348 := [monotonicity #4345]: #4347 +#4351 := [monotonicity #4348]: #4350 +#4227 := (iff #3410 #4226) +#4224 := (iff #3217 #4221) +#4222 := (iff #3212 #3212) +#4223 := [refl]: #4222 +#4225 := [quant-intro #4223]: #4224 +#4228 := [monotonicity #4225]: #4227 +#4219 := (iff #3409 #4218) +#4216 := (iff #3199 #4213) +#4214 := (iff #3196 #3196) +#4215 := [refl]: #4214 +#4217 := [quant-intro #4215]: #4216 +#4220 := [monotonicity #4217]: #4219 +#4209 := (iff #1455 #4208) +#4206 := (iff #1452 #4203) +#4204 := (iff #1449 #1449) +#4205 := [refl]: #4204 +#4207 := [quant-intro #4205]: #4206 +#4210 := [monotonicity #4207]: #4209 +#4354 := [monotonicity #4210 #4220 #4228 #4351]: #4353 +#4357 := [monotonicity #4354]: #4356 +#4201 := (iff #3187 #4200) +#4198 := (iff #3186 #4197) +#4195 := (iff #3185 #4194) +#4192 := (iff #3178 #4191) +#4189 := (iff #3173 #4188) +#4186 := (iff #3172 #4185) +#4183 := (iff #3171 #4182) +#4180 := (iff #3164 #4179) +#4177 := (iff #3137 #4176) +#4174 := (iff #3136 #4173) +#4171 := (iff #3135 #4170) +#4168 := (iff #3129 #4165) +#4166 := (iff #3124 #3124) +#4167 := [refl]: #4166 +#4169 := [quant-intro #4167]: #4168 +#4172 := [monotonicity #4169]: #4171 +#4175 := [monotonicity #4172]: #4174 +#4178 := [monotonicity #4175]: #4177 +#4181 := [monotonicity #4178]: #4180 +#4184 := [monotonicity #4181]: #4183 +#4163 := (iff #3170 #4162) +#4160 := (iff #3107 #4157) +#4158 := (iff #3102 #3102) +#4159 := [refl]: #4158 +#4161 := [quant-intro #4159]: #4160 +#4164 := [monotonicity #4161]: #4163 +#4187 := [monotonicity #4164 #4184]: #4186 +#4190 := [monotonicity #4187]: #4189 +#4155 := (iff #3078 #4154) +#4152 := (iff #3077 #4151) +#4149 := (iff #3076 #4148) +#4146 := (iff #3070 #4143) +#4144 := (iff #3059 #3059) +#4145 := [refl]: #4144 +#4147 := [quant-intro #4145]: #4146 +#4150 := [monotonicity #4147]: #4149 +#4153 := [monotonicity #4150]: #4152 +#4156 := [monotonicity #4153]: #4155 +#4193 := [monotonicity #4156 #4190]: #4192 +#4196 := [monotonicity #4193]: #4195 +#4139 := (iff #3184 #4138) +#4136 := (iff #3055 #4133) +#4134 := (iff #3044 #3044) +#4135 := [refl]: #4134 +#4137 := [quant-intro #4135]: #4136 +#4140 := [monotonicity #4137]: #4139 +#4199 := [monotonicity #4140 #4196]: #4198 +#4202 := [monotonicity #4199]: #4201 +#4360 := [monotonicity #4202 #4357]: #4359 +#4363 := [monotonicity #4360]: #4362 +#4130 := (iff #3427 #4129) +#4127 := (iff #3041 #4124) +#4125 := (iff #3036 #3036) +#4126 := [refl]: #4125 +#4128 := [quant-intro #4126]: #4127 +#4131 := [monotonicity #4128]: #4130 +#4122 := (iff #3426 #4121) +#4119 := (iff #3013 #4116) +#4117 := (iff #3008 #3008) +#4118 := [refl]: #4117 +#4120 := [quant-intro #4118]: #4119 +#4123 := [monotonicity #4120]: #4122 +#4114 := (iff #3425 #4113) +#4111 := (iff #2985 #4108) +#4109 := (iff #2980 #2980) +#4110 := [refl]: #4109 +#4112 := [quant-intro #4110]: #4111 +#4115 := [monotonicity #4112]: #4114 +#4105 := (iff #3424 #4104) +#4102 := (iff #2962 #4099) +#4100 := (iff #2957 #2957) +#4101 := [refl]: #4100 +#4103 := [quant-intro #4101]: #4102 +#4106 := [monotonicity #4103]: #4105 +#4097 := (iff #1542 #4096) +#4094 := (iff #1539 #4091) +#4092 := (iff #1536 #1536) +#4093 := [refl]: #4092 +#4095 := [quant-intro #4093]: #4094 +#4098 := [monotonicity #4095]: #4097 +#4366 := [monotonicity #4098 #4106 #4115 #4123 #4131 #4363]: #4365 +#4369 := [monotonicity #4366]: #4368 +#4088 := (iff #2938 #4087) +#4085 := (iff #2937 #4084) +#4082 := (iff #2936 #4081) +#4079 := (iff #2930 #4076) +#4077 := (iff #2919 #2919) +#4078 := [refl]: #4077 +#4080 := [quant-intro #4078]: #4079 +#4083 := [monotonicity #4080]: #4082 +#4086 := [monotonicity #4083]: #4085 +#4089 := [monotonicity #4086]: #4088 +#4372 := [monotonicity #4089 #4369]: #4371 +#4375 := [monotonicity #4372]: #4374 +#4073 := (iff #3441 #4072) +#4070 := (iff #2915 #4067) +#4068 := (iff #2910 #2910) +#4069 := [refl]: #4068 +#4071 := [quant-intro #4069]: #4070 +#4074 := [monotonicity #4071]: #4073 +#4378 := [monotonicity #4074 #4375]: #4377 +#4381 := [monotonicity #4378]: #4380 +#4384 := [monotonicity #4381]: #4383 +#4387 := [monotonicity #4384]: #4386 +#4064 := (iff #3455 #4063) +#4061 := (iff #2870 #4058) +#4059 := (iff #2865 #2865) +#4060 := [refl]: #4059 +#4062 := [quant-intro #4060]: #4061 +#4065 := [monotonicity #4062]: #4064 +#4390 := [monotonicity #4065 #4387]: #4389 +#4393 := [monotonicity #4390]: #4392 +#4396 := [monotonicity #4393]: #4395 +#4399 := [monotonicity #4396]: #4398 +#4055 := (iff #1035 #4054) +#4052 := (iff #1032 #4049) +#4050 := (iff #1031 #1031) +#4051 := [refl]: #4050 +#4053 := [quant-intro #4051]: #4052 +#4056 := [monotonicity #4053]: #4055 +#4402 := [monotonicity #4056 #4399]: #4401 +#4405 := [monotonicity #4402]: #4404 +#4408 := [monotonicity #4405]: #4407 +#4411 := [monotonicity #4408]: #4410 +#4414 := [monotonicity #4411]: #4413 +#4417 := [monotonicity #4414]: #4416 +#4420 := [monotonicity #4417]: #4419 +#2155 := (not #2154) +#2752 := (and #201 #2155 #2749) +#2755 := (not #2752) +#2758 := (forall (vars (?x76 T2)) #2755) +#2724 := (not #2721) +#2160 := (not #2159) +#2767 := (and #1349 #2160 #2724 #2758) +#2129 := (not #2128) +#2694 := (and #2129 #2130) +#2697 := (not #2694) +#2715 := (or #2697 #2710) +#2718 := (not #2715) +#2772 := (or #2718 #2767) +#2775 := (and #1325 #2772) +#2100 := (not #2099) +#2669 := (and #2098 #2100) +#2672 := (not #2669) +#2688 := (or #2672 #2683) +#2691 := (not #2688) +#2778 := (or #2691 #2775) +#2781 := (and #1311 #2778) +#2784 := (or #2079 #2781) +#2787 := (and #205 #2784) +#2790 := (or #1305 #2787) +#2793 := (and #667 #2790) +#2796 := (or #2664 #2793) +#2799 := (and #1297 #2796) +#2802 := (or #2655 #2799) +#2018 := (not #2017) +#2016 := (not #2015) +#2808 := (and #176 #184 #1286 #1439 #1452 #1460 #2016 #2018 #2802) +#1961 := (not #1960) +#1957 := (not #1956) +#2592 := (and #1957 #1961) +#2595 := (not #2592) +#2612 := (or #2595 #2607) +#2615 := (not #2612) +#1970 := (not #162) +#1980 := (and #1970 #1211) +#2621 := (or #1980 #2615) +#2565 := (not #2560) +#2583 := (and #2565 #2578) +#2586 := (or #1171 #2583) +#2589 := (forall (vars (?x49 T2)) #2586) +#2626 := (and #2589 #2621) +#1890 := (not #1889) +#2535 := (and #1890 #2532) +#2538 := (not #2535) +#2541 := (forall (vars (?x50 T2)) #2538) +#2507 := (not #2504) +#1895 := (not #1894) +#2547 := (and #1895 #2507 #2541) +#2629 := (or #2547 #2626) +#1996 := (not #1236) +#1999 := (forall (vars (?x48 T2)) #1996) +#2635 := (and #140 #145 #492 #495 #1999 #2629) +#2813 := (or #2635 #2808) +#2484 := (not #2479) +#2487 := (and #1854 #2467 #2484) +#2490 := (or #1126 #2487) +#2493 := (forall (vars (?x46 T2)) #2490) +#2429 := (not #2424) +#2447 := (and #1828 #2429 #2442) +#2450 := (or #1088 #2447) +#2453 := (forall (vars (?x37 T2)) #2450) +#2819 := (and #106 #1519 #1530 #1539 #2453 #2493 #2813) +#1784 := (not #1783) +#2397 := (and #74 #1784 #2394) +#2400 := (not #2397) +#2403 := (forall (vars (?x38 T2)) #2400) +#2369 := (not #2366) +#1789 := (not #1788) +#2409 := (and #1789 #2369 #2403) +#2824 := (or #2409 #2819) +#2827 := (and #1073 #2824) +#1757 := (not #1756) +#2347 := (and #1757 #1758) +#2350 := (not #2347) +#2360 := (or #2350 #2357) +#2363 := (not #2360) +#2830 := (or #2363 #2827) +#2833 := (and #1047 #2830) +#1728 := (not #1727) +#2322 := (and #1726 #1728) +#2325 := (not #2322) +#2341 := (or #2325 #2336) +#2344 := (not #2341) +#2836 := (or #2344 #2833) +#2839 := (and #1032 #2836) +#2842 := (or #1707 #2839) +#2845 := (and #78 #2842) +#2848 := (or #1026 #2845) +#3490 := (iff #2848 #3489) +#3487 := (iff #2845 #3484) +#3479 := (and #78 #3476) +#3485 := (iff #3479 #3484) +#3486 := [rewrite]: #3485 +#3480 := (iff #2845 #3479) +#3477 := (iff #2842 #3476) +#3474 := (iff #2839 #3471) +#3466 := (and #1032 #3463) +#3472 := (iff #3466 #3471) +#3473 := [rewrite]: #3472 +#3467 := (iff #2839 #3466) +#3464 := (iff #2836 #3463) +#3461 := (iff #2833 #3458) +#3452 := (and #2870 #3449) +#3459 := (iff #3452 #3458) +#3460 := [rewrite]: #3459 +#3453 := (iff #2833 #3452) +#3450 := (iff #2830 #3449) +#3447 := (iff #2827 #3444) +#3438 := (and #2915 #3435) +#3445 := (iff #3438 #3444) +#3446 := [rewrite]: #3445 +#3439 := (iff #2827 #3438) +#3436 := (iff #2824 #3435) +#3433 := (iff #2819 #3430) +#3421 := (and #106 #2962 #2985 #1539 #3013 #3041 #3418) +#3431 := (iff #3421 #3430) +#3432 := [rewrite]: #3431 +#3422 := (iff #2819 #3421) +#3419 := (iff #2813 #3418) +#3416 := (iff #2808 #3413) +#3406 := (and #176 #184 #3199 #3217 #1452 #1460 #2016 #2018 #3403) +#3414 := (iff #3406 #3413) +#3415 := [rewrite]: #3414 +#3407 := (iff #2808 #3406) +#3404 := (iff #2802 #3403) +#3401 := (iff #2799 #3398) +#3393 := (and #1297 #3390) +#3399 := (iff #3393 #3398) +#3400 := [rewrite]: #3399 +#3394 := (iff #2799 #3393) +#3391 := (iff #2796 #3390) +#3388 := (iff #2793 #3385) +#3380 := (and #667 #3377) +#3386 := (iff #3380 #3385) +#3387 := [rewrite]: #3386 +#3381 := (iff #2793 #3380) +#3378 := (iff #2790 #3377) +#3375 := (iff #2787 #3372) +#3367 := (and #205 #3364) +#3373 := (iff #3367 #3372) +#3374 := [rewrite]: #3373 +#3368 := (iff #2787 #3367) +#3365 := (iff #2784 #3364) +#3362 := (iff #2781 #3359) +#3354 := (and #1311 #3351) +#3360 := (iff #3354 #3359) +#3361 := [rewrite]: #3360 +#3355 := (iff #2781 #3354) +#3352 := (iff #2778 #3351) +#3349 := (iff #2775 #3346) +#3340 := (and #3263 #3337) +#3347 := (iff #3340 #3346) +#3348 := [rewrite]: #3347 +#3341 := (iff #2775 #3340) +#3338 := (iff #2772 #3337) +#3335 := (iff #2767 #3332) +#3326 := (and #3308 #2160 #2724 #3323) +#3333 := (iff #3326 #3332) +#3334 := [rewrite]: #3333 +#3327 := (iff #2767 #3326) +#3324 := (iff #2758 #3323) +#3321 := (iff #2755 #3312) +#3313 := (not #3312) +#3316 := (not #3313) +#3319 := (iff #3316 #3312) +#3320 := [rewrite]: #3319 +#3317 := (iff #2755 #3316) +#3314 := (iff #2752 #3313) +#3315 := [rewrite]: #3314 +#3318 := [monotonicity #3315]: #3317 +#3322 := [trans #3318 #3320]: #3321 +#3325 := [quant-intro #3322]: #3324 +#3309 := (iff #1349 #3308) +#3306 := (iff #1346 #3303) +#3289 := (or #208 #1055) +#3300 := (or #3289 #1342) +#3304 := (iff #3300 #3303) +#3305 := [rewrite]: #3304 +#3301 := (iff #1346 #3300) +#3298 := (iff #1339 #3289) +#3290 := (not #3289) +#3293 := (not #3290) +#3296 := (iff #3293 #3289) +#3297 := [rewrite]: #3296 +#3294 := (iff #1339 #3293) +#3291 := (iff #1334 #3290) +#3292 := [rewrite]: #3291 +#3295 := [monotonicity #3292]: #3294 +#3299 := [trans #3295 #3297]: #3298 +#3302 := [monotonicity #3299]: #3301 +#3307 := [trans #3302 #3305]: #3306 +#3310 := [quant-intro #3307]: #3309 +#3328 := [monotonicity #3310 #3325]: #3327 +#3336 := [trans #3328 #3334]: #3335 +#3287 := (iff #2718 #3286) +#3284 := (iff #2715 #3281) +#3267 := (or #2128 #3266) +#3278 := (or #3267 #2710) +#3282 := (iff #3278 #3281) +#3283 := [rewrite]: #3282 +#3279 := (iff #2715 #3278) +#3276 := (iff #2697 #3267) +#3268 := (not #3267) +#3271 := (not #3268) +#3274 := (iff #3271 #3267) +#3275 := [rewrite]: #3274 +#3272 := (iff #2697 #3271) +#3269 := (iff #2694 #3268) +#3270 := [rewrite]: #3269 +#3273 := [monotonicity #3270]: #3272 +#3277 := [trans #3273 #3275]: #3276 +#3280 := [monotonicity #3277]: #3279 +#3285 := [trans #3280 #3283]: #3284 +#3288 := [monotonicity #3285]: #3287 +#3339 := [monotonicity #3288 #3336]: #3338 +#3264 := (iff #1325 #3263) +#3261 := (iff #1322 #3258) +#3244 := (or #201 #3243) +#3255 := (or #3244 #1317) +#3259 := (iff #3255 #3258) +#3260 := [rewrite]: #3259 +#3256 := (iff #1322 #3255) +#3253 := (iff #673 #3244) +#3245 := (not #3244) +#3248 := (not #3245) +#3251 := (iff #3248 #3244) +#3252 := [rewrite]: #3251 +#3249 := (iff #673 #3248) +#3246 := (iff #210 #3245) +#3247 := [rewrite]: #3246 +#3250 := [monotonicity #3247]: #3249 +#3254 := [trans #3250 #3252]: #3253 +#3257 := [monotonicity #3254]: #3256 +#3262 := [trans #3257 #3260]: #3261 +#3265 := [quant-intro #3262]: #3264 +#3342 := [monotonicity #3265 #3339]: #3341 +#3350 := [trans #3342 #3348]: #3349 +#3241 := (iff #2691 #3240) +#3238 := (iff #2688 #3235) +#3221 := (or #3220 #2099) +#3232 := (or #3221 #2683) +#3236 := (iff #3232 #3235) +#3237 := [rewrite]: #3236 +#3233 := (iff #2688 #3232) +#3230 := (iff #2672 #3221) +#3222 := (not #3221) +#3225 := (not #3222) +#3228 := (iff #3225 #3221) +#3229 := [rewrite]: #3228 +#3226 := (iff #2672 #3225) +#3223 := (iff #2669 #3222) +#3224 := [rewrite]: #3223 +#3227 := [monotonicity #3224]: #3226 +#3231 := [trans #3227 #3229]: #3230 +#3234 := [monotonicity #3231]: #3233 +#3239 := [trans #3234 #3237]: #3238 +#3242 := [monotonicity #3239]: #3241 +#3353 := [monotonicity #3242 #3350]: #3352 +#3356 := [monotonicity #3353]: #3355 +#3363 := [trans #3356 #3361]: #3362 +#3366 := [monotonicity #3363]: #3365 +#3369 := [monotonicity #3366]: #3368 +#3376 := [trans #3369 #3374]: #3375 +#3379 := [monotonicity #3376]: #3378 +#3382 := [monotonicity #3379]: #3381 +#3389 := [trans #3382 #3387]: #3388 +#3392 := [monotonicity #3389]: #3391 +#3395 := [monotonicity #3392]: #3394 +#3402 := [trans #3395 #3400]: #3401 +#3405 := [monotonicity #3402]: #3404 +#3218 := (iff #1439 #3217) +#3215 := (iff #1436 #3212) +#3209 := (or #3192 #1433) +#3213 := (iff #3209 #3212) +#3214 := [rewrite]: #3213 +#3210 := (iff #1436 #3209) +#3207 := (iff #1428 #3192) +#3202 := (not #3193) +#3205 := (iff #3202 #3192) +#3206 := [rewrite]: #3205 +#3203 := (iff #1428 #3202) +#3194 := (iff #1275 #3193) +#3195 := [rewrite]: #3194 +#3204 := [monotonicity #3195]: #3203 +#3208 := [trans #3204 #3206]: #3207 +#3211 := [monotonicity #3208]: #3210 +#3216 := [trans #3211 #3214]: #3215 +#3219 := [quant-intro #3216]: #3218 +#3200 := (iff #1286 #3199) +#3197 := (iff #1281 #3196) +#3198 := [monotonicity #3195]: #3197 +#3201 := [quant-intro #3198]: #3200 +#3408 := [monotonicity #3201 #3219 #3405]: #3407 +#3417 := [trans #3408 #3415]: #3416 +#3190 := (iff #2635 #3187) +#3181 := (and #140 #145 #492 #495 #3055 #3178) +#3188 := (iff #3181 #3187) +#3189 := [rewrite]: #3188 +#3182 := (iff #2635 #3181) +#3179 := (iff #2629 #3178) +#3176 := (iff #2626 #3173) +#3167 := (and #3107 #3164) +#3174 := (iff #3167 #3173) +#3175 := [rewrite]: #3174 +#3168 := (iff #2626 #3167) +#3165 := (iff #2621 #3164) +#3162 := (iff #2615 #3161) +#3159 := (iff #2612 #3156) +#3142 := (or #1956 #1960) +#3153 := (or #3142 #2607) +#3157 := (iff #3153 #3156) +#3158 := [rewrite]: #3157 +#3154 := (iff #2612 #3153) +#3151 := (iff #2595 #3142) +#3143 := (not #3142) +#3146 := (not #3143) +#3149 := (iff #3146 #3142) +#3150 := [rewrite]: #3149 +#3147 := (iff #2595 #3146) +#3144 := (iff #2592 #3143) +#3145 := [rewrite]: #3144 +#3148 := [monotonicity #3145]: #3147 +#3152 := [trans #3148 #3150]: #3151 +#3155 := [monotonicity #3152]: #3154 +#3160 := [trans #3155 #3158]: #3159 +#3163 := [monotonicity #3160]: #3162 +#3140 := (iff #1980 #3137) +#3132 := (and #1970 #3129) +#3138 := (iff #3132 #3137) +#3139 := [rewrite]: #3138 +#3133 := (iff #1980 #3132) +#3130 := (iff #1211 #3129) +#3127 := (iff #1208 #3124) +#3110 := (or #1055 #1164) +#3121 := (or #3110 #1205) +#3125 := (iff #3121 #3124) +#3126 := [rewrite]: #3125 +#3122 := (iff #1208 #3121) +#3119 := (iff #1202 #3110) +#3111 := (not #3110) +#3114 := (not #3111) +#3117 := (iff #3114 #3110) +#3118 := [rewrite]: #3117 +#3115 := (iff #1202 #3114) +#3112 := (iff #1199 #3111) +#3113 := [rewrite]: #3112 +#3116 := [monotonicity #3113]: #3115 +#3120 := [trans #3116 #3118]: #3119 +#3123 := [monotonicity #3120]: #3122 +#3128 := [trans #3123 #3126]: #3127 +#3131 := [quant-intro #3128]: #3130 +#3134 := [monotonicity #3131]: #3133 +#3141 := [trans #3134 #3139]: #3140 +#3166 := [monotonicity #3141 #3163]: #3165 +#3108 := (iff #2589 #3107) +#3105 := (iff #2586 #3102) +#3083 := (or #65 #1164) +#3099 := (or #3083 #3096) +#3103 := (iff #3099 #3102) +#3104 := [rewrite]: #3103 +#3100 := (iff #2586 #3099) +#3097 := (iff #2583 #3096) +#3098 := [rewrite]: #3097 +#3092 := (iff #1171 #3083) +#3084 := (not #3083) +#3087 := (not #3084) +#3090 := (iff #3087 #3083) +#3091 := [rewrite]: #3090 +#3088 := (iff #1171 #3087) +#3085 := (iff #1168 #3084) +#3086 := [rewrite]: #3085 +#3089 := [monotonicity #3086]: #3088 +#3093 := [trans #3089 #3091]: #3092 +#3101 := [monotonicity #3093 #3098]: #3100 +#3106 := [trans #3101 #3104]: #3105 +#3109 := [quant-intro #3106]: #3108 +#3169 := [monotonicity #3109 #3166]: #3168 +#3177 := [trans #3169 #3175]: #3176 +#3081 := (iff #2547 #3078) +#3073 := (and #1895 #2507 #3070) +#3079 := (iff #3073 #3078) +#3080 := [rewrite]: #3079 +#3074 := (iff #2547 #3073) +#3071 := (iff #2541 #3070) +#3068 := (iff #2538 #3059) +#3060 := (not #3059) +#3063 := (not #3060) +#3066 := (iff #3063 #3059) +#3067 := [rewrite]: #3066 +#3064 := (iff #2538 #3063) +#3061 := (iff #2535 #3060) +#3062 := [rewrite]: #3061 +#3065 := [monotonicity #3062]: #3064 +#3069 := [trans #3065 #3067]: #3068 +#3072 := [quant-intro #3069]: #3071 +#3075 := [monotonicity #3072]: #3074 +#3082 := [trans #3075 #3080]: #3081 +#3180 := [monotonicity #3082 #3177]: #3179 +#3056 := (iff #1999 #3055) +#3053 := (iff #1996 #3044) +#3045 := (not #3044) +#3048 := (not #3045) +#3051 := (iff #3048 #3044) +#3052 := [rewrite]: #3051 +#3049 := (iff #1996 #3048) +#3046 := (iff #1236 #3045) +#3047 := [rewrite]: #3046 +#3050 := [monotonicity #3047]: #3049 +#3054 := [trans #3050 #3052]: #3053 +#3057 := [quant-intro #3054]: #3056 +#3183 := [monotonicity #3057 #3180]: #3182 +#3191 := [trans #3183 #3189]: #3190 +#3420 := [monotonicity #3191 #3417]: #3419 +#3042 := (iff #2493 #3041) +#3039 := (iff #2490 #3036) +#3016 := (or #65 #1119) +#3033 := (or #3016 #3030) +#3037 := (iff #3033 #3036) +#3038 := [rewrite]: #3037 +#3034 := (iff #2490 #3033) +#3031 := (iff #2487 #3030) +#3032 := [rewrite]: #3031 +#3025 := (iff #1126 #3016) +#3017 := (not #3016) +#3020 := (not #3017) +#3023 := (iff #3020 #3016) +#3024 := [rewrite]: #3023 +#3021 := (iff #1126 #3020) +#3018 := (iff #1123 #3017) +#3019 := [rewrite]: #3018 +#3022 := [monotonicity #3019]: #3021 +#3026 := [trans #3022 #3024]: #3025 +#3035 := [monotonicity #3026 #3032]: #3034 +#3040 := [trans #3035 #3038]: #3039 +#3043 := [quant-intro #3040]: #3042 +#3014 := (iff #2453 #3013) +#3011 := (iff #2450 #3008) +#2988 := (or #65 #1081) +#3005 := (or #2988 #3002) +#3009 := (iff #3005 #3008) +#3010 := [rewrite]: #3009 +#3006 := (iff #2450 #3005) +#3003 := (iff #2447 #3002) +#3004 := [rewrite]: #3003 +#2997 := (iff #1088 #2988) +#2989 := (not #2988) +#2992 := (not #2989) +#2995 := (iff #2992 #2988) +#2996 := [rewrite]: #2995 +#2993 := (iff #1088 #2992) +#2990 := (iff #1085 #2989) +#2991 := [rewrite]: #2990 +#2994 := [monotonicity #2991]: #2993 +#2998 := [trans #2994 #2996]: #2997 +#3007 := [monotonicity #2998 #3004]: #3006 +#3012 := [trans #3007 #3010]: #3011 +#3015 := [quant-intro #3012]: #3014 +#2986 := (iff #1530 #2985) +#2983 := (iff #1527 #2980) +#2966 := (or #111 #2965) +#2977 := (or #2966 #1135) +#2981 := (iff #2977 #2980) +#2982 := [rewrite]: #2981 +#2978 := (iff #1527 #2977) +#2975 := (iff #440 #2966) +#2967 := (not #2966) +#2970 := (not #2967) +#2973 := (iff #2970 #2966) +#2974 := [rewrite]: #2973 +#2971 := (iff #440 #2970) +#2968 := (iff #114 #2967) +#2969 := [rewrite]: #2968 +#2972 := [monotonicity #2969]: #2971 +#2976 := [trans #2972 #2974]: #2975 +#2979 := [monotonicity #2976]: #2978 +#2984 := [trans #2979 #2982]: #2983 +#2987 := [quant-intro #2984]: #2986 +#2963 := (iff #1519 #2962) +#2960 := (iff #1516 #2957) +#2943 := (or #112 #1055) +#2954 := (or #2943 #1513) +#2958 := (iff #2954 #2957) +#2959 := [rewrite]: #2958 +#2955 := (iff #1516 #2954) +#2952 := (iff #1510 #2943) +#2944 := (not #2943) +#2947 := (not #2944) +#2950 := (iff #2947 #2943) +#2951 := [rewrite]: #2950 +#2948 := (iff #1510 #2947) +#2945 := (iff #1505 #2944) +#2946 := [rewrite]: #2945 +#2949 := [monotonicity #2946]: #2948 +#2953 := [trans #2949 #2951]: #2952 +#2956 := [monotonicity #2953]: #2955 +#2961 := [trans #2956 #2959]: #2960 +#2964 := [quant-intro #2961]: #2963 +#3423 := [monotonicity #2964 #2987 #3015 #3043 #3420]: #3422 +#3434 := [trans #3423 #3432]: #3433 +#2941 := (iff #2409 #2938) +#2933 := (and #1789 #2369 #2930) +#2939 := (iff #2933 #2938) +#2940 := [rewrite]: #2939 +#2934 := (iff #2409 #2933) +#2931 := (iff #2403 #2930) +#2928 := (iff #2400 #2919) +#2920 := (not #2919) +#2923 := (not #2920) +#2926 := (iff #2923 #2919) +#2927 := [rewrite]: #2926 +#2924 := (iff #2400 #2923) +#2921 := (iff #2397 #2920) +#2922 := [rewrite]: #2921 +#2925 := [monotonicity #2922]: #2924 +#2929 := [trans #2925 #2927]: #2928 +#2932 := [quant-intro #2929]: #2931 +#2935 := [monotonicity #2932]: #2934 +#2942 := [trans #2935 #2940]: #2941 +#3437 := [monotonicity #2942 #3434]: #3436 +#2916 := (iff #1073 #2915) +#2913 := (iff #1070 #2910) +#2896 := (or #75 #1055) +#2907 := (or #2896 #1066) +#2911 := (iff #2907 #2910) +#2912 := [rewrite]: #2911 +#2908 := (iff #1070 #2907) +#2905 := (iff #1062 #2896) +#2897 := (not #2896) +#2900 := (not #2897) +#2903 := (iff #2900 #2896) +#2904 := [rewrite]: #2903 +#2901 := (iff #1062 #2900) +#2898 := (iff #1059 #2897) +#2899 := [rewrite]: #2898 +#2902 := [monotonicity #2899]: #2901 +#2906 := [trans #2902 #2904]: #2905 +#2909 := [monotonicity #2906]: #2908 +#2914 := [trans #2909 #2912]: #2913 +#2917 := [quant-intro #2914]: #2916 +#3440 := [monotonicity #2917 #3437]: #3439 +#3448 := [trans #3440 #3446]: #3447 +#2894 := (iff #2363 #2893) +#2891 := (iff #2360 #2888) +#2874 := (or #1756 #2873) +#2885 := (or #2874 #2357) +#2889 := (iff #2885 #2888) +#2890 := [rewrite]: #2889 +#2886 := (iff #2360 #2885) +#2883 := (iff #2350 #2874) +#2875 := (not #2874) +#2878 := (not #2875) +#2881 := (iff #2878 #2874) +#2882 := [rewrite]: #2881 +#2879 := (iff #2350 #2878) +#2876 := (iff #2347 #2875) +#2877 := [rewrite]: #2876 +#2880 := [monotonicity #2877]: #2879 +#2884 := [trans #2880 #2882]: #2883 +#2887 := [monotonicity #2884]: #2886 +#2892 := [trans #2887 #2890]: #2891 +#2895 := [monotonicity #2892]: #2894 +#3451 := [monotonicity #2895 #3448]: #3450 +#2871 := (iff #1047 #2870) +#2868 := (iff #1044 #2865) +#2851 := (or #74 #2319) +#2862 := (or #2851 #1040) +#2866 := (iff #2862 #2865) +#2867 := [rewrite]: #2866 +#2863 := (iff #1044 #2862) +#2860 := (iff #416 #2851) +#2852 := (not #2851) +#2855 := (not #2852) +#2858 := (iff #2855 #2851) +#2859 := [rewrite]: #2858 +#2856 := (iff #416 #2855) +#2853 := (iff #82 #2852) +#2854 := [rewrite]: #2853 +#2857 := [monotonicity #2854]: #2856 +#2861 := [trans #2857 #2859]: #2860 +#2864 := [monotonicity #2861]: #2863 +#2869 := [trans #2864 #2867]: #2868 +#2872 := [quant-intro #2869]: #2871 +#3454 := [monotonicity #2872 #3451]: #3453 +#3462 := [trans #3454 #3460]: #3461 +#1832 := (iff #2344 #2108) +#1711 := (iff #2341 #1968) +#2062 := (or #1766 #1727) +#1736 := (or #2062 #2336) +#1969 := (iff #1736 #1968) +#1710 := [rewrite]: #1969 +#2043 := (iff #2341 #1736) +#2083 := (iff #2325 #2062) +#1666 := (not #2062) +#2137 := (not #1666) +#1859 := (iff #2137 #2062) +#2082 := [rewrite]: #1859 +#2138 := (iff #2325 #2137) +#1667 := (iff #2322 #1666) +#2063 := [rewrite]: #1667 +#1858 := [monotonicity #2063]: #2138 +#1735 := [trans #1858 #2082]: #2083 +#2044 := [monotonicity #1735]: #2043 +#2107 := [trans #2044 #1710]: #1711 +#1833 := [monotonicity #2107]: #1832 +#3465 := [monotonicity #1833 #3462]: #3464 +#3468 := [monotonicity #3465]: #3467 +#3475 := [trans #3468 #3473]: #3474 +#3478 := [monotonicity #3475]: #3477 +#3481 := [monotonicity #3478]: #3480 +#3488 := [trans #3481 #3486]: #3487 +#3491 := [monotonicity #3488]: #3490 +#2152 := (+ #2151 #2149) +#2153 := (= #2152 0::int) +#2156 := (and #201 #2155 #2153) +#2173 := (not #2156) +#2176 := (forall (vars (?x76 T2)) #2173) +#2161 := (= ?x75!20 uf_11) +#2162 := (not #2161) +#2163 := (and #2162 #2160) +#2164 := (not #2163) +#2170 := (not #2164) +#2180 := (and #2170 #2176) +#2185 := (and #1349 #2180) +#2119 := (* -1::int #2118) +#2121 := (+ #2120 #2119) +#2124 := (+ #2123 #2121) +#2125 := (>= #2124 0::int) +#2131 := (and #2130 #2129) +#2132 := (not #2131) +#2133 := (or #2132 #2125) +#2134 := (not #2133) +#2189 := (or #2134 #2185) +#2193 := (and #1325 #2189) +#2094 := (* -1::int #2093) +#2096 := (+ #2095 #2094) +#2097 := (>= #2096 0::int) +#2101 := (and #2100 #2098) +#2102 := (not #2101) +#2103 := (or #2102 #2097) +#2104 := (not #2103) +#2197 := (or #2104 #2193) +#2201 := (and #1311 #2197) +#2205 := (or #2079 #2201) +#2073 := (not #1305) +#2209 := (and #2073 #2205) +#2213 := (or #1305 #2209) +#2217 := (and #667 #2213) +#2055 := (= #2054 #2053) +#2058 := (or #2057 #2055) +#2059 := (not #2058) +#2221 := (or #2059 #2217) +#2225 := (and #1297 #2221) +#2036 := (* -1::int #2035) +#2038 := (+ #2037 #2036) +#2039 := (>= #2038 0::int) +#2040 := (not #2039) +#2229 := (or #2040 #2225) +#2019 := (and #2018 #2016) +#2008 := (not #825) +#2249 := (and #176 #2008 #2019 #1286 #2229 #1439 #1452 #1460) +#1947 := (* -1::int #1946) +#1949 := (+ #1948 #1947) +#1952 := (+ #1951 #1949) +#1953 := (>= #1952 0::int) +#1962 := (and #1961 #1957) +#1963 := (not #1962) +#1964 := (or #1963 #1953) +#1965 := (not #1964) +#1984 := (or #1965 #1980) +#1923 := (+ #1922 #1162) +#1926 := (+ #1925 #1923) +#1927 := (= #1926 0::int) +#1928 := (>= #1923 0::int) +#1929 := (not #1928) +#1930 := (and #1929 #1927) +#1935 := (or #1171 #1930) +#1938 := (forall (vars (?x49 T2)) #1935) +#1988 := (and #1938 #1984) +#1887 := (+ #1886 #1884) +#1888 := (= #1887 0::int) +#1891 := (and #1890 #1888) +#1907 := (not #1891) +#1910 := (forall (vars (?x50 T2)) #1907) +#1896 := (= ?x49!8 uf_11) +#1897 := (not #1896) +#1898 := (and #1897 #1895) +#1899 := (not #1898) +#1904 := (not #1899) +#1914 := (and #1904 #1910) +#1992 := (or #1914 #1988) +#1878 := (not #586) +#1875 := (not #604) +#1872 := (not #577) +#1869 := (not #595) +#2002 := (and #1869 #1872 #1875 #1878 #1992 #1999) +#2253 := (or #2002 #2249) +#1847 := (+ #1846 #1117) +#1848 := (>= #1847 0::int) +#1849 := (not #1848) +#1852 := (+ #1851 #1847) +#1853 := (= #1852 0::int) +#1855 := (and #1854 #1853 #1849) +#1860 := (or #1126 #1855) +#1863 := (forall (vars (?x46 T2)) #1860) +#1821 := (+ #1079 #1820) +#1823 := (+ #1822 #1821) +#1824 := (= #1823 0::int) +#1825 := (+ #1822 #1079) +#1826 := (>= #1825 0::int) +#1827 := (not #1826) +#1829 := (and #1828 #1827 #1824) +#1834 := (or #1088 #1829) +#1837 := (forall (vars (?x37 T2)) #1834) +#1813 := (not #1547) +#2278 := (and #1813 #1837 #1863 #2253 #1519 #1530 #1539) +#1779 := (+ #1778 #1776) +#1780 := (+ #66 #1779) +#1781 := (= #1780 0::int) +#1785 := (and #74 #1784 #1781) +#1801 := (not #1785) +#1804 := (forall (vars (?x38 T2)) #1801) +#1790 := (= ?x37!5 uf_11) +#1791 := (not #1790) +#1792 := (and #1791 #1789) +#1793 := (not #1792) +#1798 := (not #1793) +#1808 := (and #1798 #1804) +#2282 := (or #1808 #2278) +#2286 := (and #1073 #2282) +#1750 := (+ #1749 #1747) +#1752 := (+ #1751 #1750) +#1753 := (>= #1752 0::int) +#1759 := (and #1758 #1757) +#1760 := (not #1759) +#1761 := (or #1760 #1753) +#1762 := (not #1761) +#2290 := (or #1762 #2286) +#2294 := (and #1047 #2290) +#1722 := (* -1::int #1721) +#1724 := (+ #1723 #1722) +#1725 := (>= #1724 0::int) +#1729 := (and #1728 #1726) +#1730 := (not #1729) +#1731 := (or #1730 #1725) +#1732 := (not #1731) +#2298 := (or #1732 #2294) +#2302 := (and #1032 #2298) +#2306 := (or #1707 #2302) +#1662 := (not #1026) +#2310 := (and #1662 #2306) +#2314 := (or #1026 #2310) +#2849 := (iff #2314 #2848) +#2846 := (iff #2310 #2845) +#2843 := (iff #2306 #2842) +#2840 := (iff #2302 #2839) +#2837 := (iff #2298 #2836) +#2834 := (iff #2294 #2833) +#2831 := (iff #2290 #2830) +#2828 := (iff #2286 #2827) +#2825 := (iff #2282 #2824) +#2822 := (iff #2278 #2819) +#2816 := (and #106 #2453 #2493 #2813 #1519 #1530 #1539) +#2820 := (iff #2816 #2819) +#2821 := [rewrite]: #2820 +#2817 := (iff #2278 #2816) +#2814 := (iff #2253 #2813) +#2811 := (iff #2249 #2808) +#2805 := (and #176 #184 #2019 #1286 #2802 #1439 #1452 #1460) +#2809 := (iff #2805 #2808) +#2810 := [rewrite]: #2809 +#2806 := (iff #2249 #2805) +#2803 := (iff #2229 #2802) +#2800 := (iff #2225 #2799) +#2797 := (iff #2221 #2796) +#2794 := (iff #2217 #2793) +#2791 := (iff #2213 #2790) +#2788 := (iff #2209 #2787) +#2785 := (iff #2205 #2784) +#2782 := (iff #2201 #2781) +#2779 := (iff #2197 #2778) +#2776 := (iff #2193 #2775) +#2773 := (iff #2189 #2772) +#2770 := (iff #2185 #2767) +#2730 := (and #2160 #2724) +#2761 := (and #2730 #2758) +#2764 := (and #1349 #2761) +#2768 := (iff #2764 #2767) +#2769 := [rewrite]: #2768 +#2765 := (iff #2185 #2764) +#2762 := (iff #2180 #2761) +#2759 := (iff #2176 #2758) +#2756 := (iff #2173 #2755) +#2753 := (iff #2156 #2752) +#2750 := (iff #2153 #2749) +#2747 := (= #2152 #2746) +#2748 := [rewrite]: #2747 +#2751 := [monotonicity #2748]: #2750 +#2754 := [monotonicity #2751]: #2753 +#2757 := [monotonicity #2754]: #2756 +#2760 := [quant-intro #2757]: #2759 +#2743 := (iff #2170 #2730) +#2735 := (not #2730) +#2738 := (not #2735) +#2741 := (iff #2738 #2730) +#2742 := [rewrite]: #2741 +#2739 := (iff #2170 #2738) +#2736 := (iff #2164 #2735) +#2733 := (iff #2163 #2730) +#2727 := (and #2724 #2160) +#2731 := (iff #2727 #2730) +#2732 := [rewrite]: #2731 +#2728 := (iff #2163 #2727) +#2725 := (iff #2162 #2724) +#2722 := (iff #2161 #2721) +#2723 := [rewrite]: #2722 +#2726 := [monotonicity #2723]: #2725 +#2729 := [monotonicity #2726]: #2728 +#2734 := [trans #2729 #2732]: #2733 +#2737 := [monotonicity #2734]: #2736 +#2740 := [monotonicity #2737]: #2739 +#2744 := [trans #2740 #2742]: #2743 +#2763 := [monotonicity #2744 #2760]: #2762 +#2766 := [monotonicity #2763]: #2765 +#2771 := [trans #2766 #2769]: #2770 +#2719 := (iff #2134 #2718) +#2716 := (iff #2133 #2715) +#2713 := (iff #2125 #2710) +#2700 := (+ #2120 #2123) +#2701 := (+ #2119 #2700) +#2704 := (>= #2701 0::int) +#2711 := (iff #2704 #2710) +#2712 := [rewrite]: #2711 +#2705 := (iff #2125 #2704) +#2702 := (= #2124 #2701) +#2703 := [rewrite]: #2702 +#2706 := [monotonicity #2703]: #2705 +#2714 := [trans #2706 #2712]: #2713 +#2698 := (iff #2132 #2697) +#2695 := (iff #2131 #2694) +#2696 := [rewrite]: #2695 +#2699 := [monotonicity #2696]: #2698 +#2717 := [monotonicity #2699 #2714]: #2716 +#2720 := [monotonicity #2717]: #2719 +#2774 := [monotonicity #2720 #2771]: #2773 +#2777 := [monotonicity #2774]: #2776 +#2692 := (iff #2104 #2691) +#2689 := (iff #2103 #2688) +#2686 := (iff #2097 #2683) +#2675 := (+ #2094 #2095) +#2678 := (>= #2675 0::int) +#2684 := (iff #2678 #2683) +#2685 := [rewrite]: #2684 +#2679 := (iff #2097 #2678) +#2676 := (= #2096 #2675) +#2677 := [rewrite]: #2676 +#2680 := [monotonicity #2677]: #2679 +#2687 := [trans #2680 #2685]: #2686 +#2673 := (iff #2102 #2672) +#2670 := (iff #2101 #2669) +#2671 := [rewrite]: #2670 +#2674 := [monotonicity #2671]: #2673 +#2690 := [monotonicity #2674 #2687]: #2689 +#2693 := [monotonicity #2690]: #2692 +#2780 := [monotonicity #2693 #2777]: #2779 +#2783 := [monotonicity #2780]: #2782 +#2786 := [monotonicity #2783]: #2785 +#2667 := (iff #2073 #205) +#2668 := [rewrite]: #2667 +#2789 := [monotonicity #2668 #2786]: #2788 +#2792 := [monotonicity #2789]: #2791 +#2795 := [monotonicity #2792]: #2794 +#2665 := (iff #2059 #2664) +#2662 := (iff #2058 #2661) +#2659 := (iff #2055 #2658) +#2660 := [rewrite]: #2659 +#2663 := [monotonicity #2660]: #2662 +#2666 := [monotonicity #2663]: #2665 +#2798 := [monotonicity #2666 #2795]: #2797 +#2801 := [monotonicity #2798]: #2800 +#2656 := (iff #2040 #2655) +#2653 := (iff #2039 #2650) +#2642 := (+ #2036 #2037) +#2645 := (>= #2642 0::int) +#2651 := (iff #2645 #2650) +#2652 := [rewrite]: #2651 +#2646 := (iff #2039 #2645) +#2643 := (= #2038 #2642) +#2644 := [rewrite]: #2643 +#2647 := [monotonicity #2644]: #2646 +#2654 := [trans #2647 #2652]: #2653 +#2657 := [monotonicity #2654]: #2656 +#2804 := [monotonicity #2657 #2801]: #2803 +#2640 := (iff #2008 #184) +#2641 := [rewrite]: #2640 +#2807 := [monotonicity #2641 #2804]: #2806 +#2812 := [trans #2807 #2810]: #2811 +#2638 := (iff #2002 #2635) +#2632 := (and #140 #145 #492 #495 #2629 #1999) +#2636 := (iff #2632 #2635) +#2637 := [rewrite]: #2636 +#2633 := (iff #2002 #2632) +#2630 := (iff #1992 #2629) +#2627 := (iff #1988 #2626) +#2624 := (iff #1984 #2621) +#2618 := (or #2615 #1980) +#2622 := (iff #2618 #2621) +#2623 := [rewrite]: #2622 +#2619 := (iff #1984 #2618) +#2616 := (iff #1965 #2615) +#2613 := (iff #1964 #2612) +#2610 := (iff #1953 #2607) +#2598 := (+ #1948 #1951) +#2599 := (+ #1947 #2598) +#2602 := (>= #2599 0::int) +#2608 := (iff #2602 #2607) +#2609 := [rewrite]: #2608 +#2603 := (iff #1953 #2602) +#2600 := (= #1952 #2599) +#2601 := [rewrite]: #2600 +#2604 := [monotonicity #2601]: #2603 +#2611 := [trans #2604 #2609]: #2610 +#2596 := (iff #1963 #2595) +#2593 := (iff #1962 #2592) +#2594 := [rewrite]: #2593 +#2597 := [monotonicity #2594]: #2596 +#2614 := [monotonicity #2597 #2611]: #2613 +#2617 := [monotonicity #2614]: #2616 +#2620 := [monotonicity #2617]: #2619 +#2625 := [trans #2620 #2623]: #2624 +#2590 := (iff #1938 #2589) +#2587 := (iff #1935 #2586) +#2584 := (iff #1930 #2583) +#2581 := (iff #1927 #2578) +#2568 := (+ #1922 #1925) +#2569 := (+ #1162 #2568) +#2572 := (= #2569 0::int) +#2579 := (iff #2572 #2578) +#2580 := [rewrite]: #2579 +#2573 := (iff #1927 #2572) +#2570 := (= #1926 #2569) +#2571 := [rewrite]: #2570 +#2574 := [monotonicity #2571]: #2573 +#2582 := [trans #2574 #2580]: #2581 +#2566 := (iff #1929 #2565) +#2563 := (iff #1928 #2560) +#2552 := (+ #1162 #1922) +#2555 := (>= #2552 0::int) +#2561 := (iff #2555 #2560) +#2562 := [rewrite]: #2561 +#2556 := (iff #1928 #2555) +#2553 := (= #1923 #2552) +#2554 := [rewrite]: #2553 +#2557 := [monotonicity #2554]: #2556 +#2564 := [trans #2557 #2562]: #2563 +#2567 := [monotonicity #2564]: #2566 +#2585 := [monotonicity #2567 #2582]: #2584 +#2588 := [monotonicity #2585]: #2587 +#2591 := [quant-intro #2588]: #2590 +#2628 := [monotonicity #2591 #2625]: #2627 +#2550 := (iff #1914 #2547) +#2513 := (and #1895 #2507) +#2544 := (and #2513 #2541) +#2548 := (iff #2544 #2547) +#2549 := [rewrite]: #2548 +#2545 := (iff #1914 #2544) +#2542 := (iff #1910 #2541) +#2539 := (iff #1907 #2538) +#2536 := (iff #1891 #2535) +#2533 := (iff #1888 #2532) +#2530 := (= #1887 #2529) +#2531 := [rewrite]: #2530 +#2534 := [monotonicity #2531]: #2533 +#2537 := [monotonicity #2534]: #2536 +#2540 := [monotonicity #2537]: #2539 +#2543 := [quant-intro #2540]: #2542 +#2526 := (iff #1904 #2513) +#2518 := (not #2513) +#2521 := (not #2518) +#2524 := (iff #2521 #2513) +#2525 := [rewrite]: #2524 +#2522 := (iff #1904 #2521) +#2519 := (iff #1899 #2518) +#2516 := (iff #1898 #2513) +#2510 := (and #2507 #1895) +#2514 := (iff #2510 #2513) +#2515 := [rewrite]: #2514 +#2511 := (iff #1898 #2510) +#2508 := (iff #1897 #2507) +#2505 := (iff #1896 #2504) +#2506 := [rewrite]: #2505 +#2509 := [monotonicity #2506]: #2508 +#2512 := [monotonicity #2509]: #2511 +#2517 := [trans #2512 #2515]: #2516 +#2520 := [monotonicity #2517]: #2519 +#2523 := [monotonicity #2520]: #2522 +#2527 := [trans #2523 #2525]: #2526 +#2546 := [monotonicity #2527 #2543]: #2545 +#2551 := [trans #2546 #2549]: #2550 +#2631 := [monotonicity #2551 #2628]: #2630 +#2502 := (iff #1878 #495) +#2503 := [rewrite]: #2502 +#2500 := (iff #1875 #492) +#2501 := [rewrite]: #2500 +#2498 := (iff #1872 #145) +#2499 := [rewrite]: #2498 +#2496 := (iff #1869 #140) +#2497 := [rewrite]: #2496 +#2634 := [monotonicity #2497 #2499 #2501 #2503 #2631]: #2633 +#2639 := [trans #2634 #2637]: #2638 +#2815 := [monotonicity #2639 #2812]: #2814 +#2494 := (iff #1863 #2493) +#2491 := (iff #1860 #2490) +#2488 := (iff #1855 #2487) +#2485 := (iff #1849 #2484) +#2482 := (iff #1848 #2479) +#2472 := (+ #1117 #1846) +#2475 := (>= #2472 0::int) +#2480 := (iff #2475 #2479) +#2481 := [rewrite]: #2480 +#2476 := (iff #1848 #2475) +#2473 := (= #1847 #2472) +#2474 := [rewrite]: #2473 +#2477 := [monotonicity #2474]: #2476 +#2483 := [trans #2477 #2481]: #2482 +#2486 := [monotonicity #2483]: #2485 +#2470 := (iff #1853 #2467) +#2456 := (+ #1846 #1851) +#2457 := (+ #1117 #2456) +#2460 := (= #2457 0::int) +#2468 := (iff #2460 #2467) +#2469 := [rewrite]: #2468 +#2461 := (iff #1853 #2460) +#2458 := (= #1852 #2457) +#2459 := [rewrite]: #2458 +#2462 := [monotonicity #2459]: #2461 +#2471 := [trans #2462 #2469]: #2470 +#2489 := [monotonicity #2471 #2486]: #2488 +#2492 := [monotonicity #2489]: #2491 +#2495 := [quant-intro #2492]: #2494 +#2454 := (iff #1837 #2453) +#2451 := (iff #1834 #2450) +#2448 := (iff #1829 #2447) +#2445 := (iff #1824 #2442) +#2432 := (+ #1820 #1822) +#2433 := (+ #1079 #2432) +#2436 := (= #2433 0::int) +#2443 := (iff #2436 #2442) +#2444 := [rewrite]: #2443 +#2437 := (iff #1824 #2436) +#2434 := (= #1823 #2433) +#2435 := [rewrite]: #2434 +#2438 := [monotonicity #2435]: #2437 +#2446 := [trans #2438 #2444]: #2445 +#2430 := (iff #1827 #2429) +#2427 := (iff #1826 #2424) +#2416 := (+ #1079 #1822) +#2419 := (>= #2416 0::int) +#2425 := (iff #2419 #2424) +#2426 := [rewrite]: #2425 +#2420 := (iff #1826 #2419) +#2417 := (= #1825 #2416) +#2418 := [rewrite]: #2417 +#2421 := [monotonicity #2418]: #2420 +#2428 := [trans #2421 #2426]: #2427 +#2431 := [monotonicity #2428]: #2430 +#2449 := [monotonicity #2431 #2446]: #2448 +#2452 := [monotonicity #2449]: #2451 +#2455 := [quant-intro #2452]: #2454 +#2414 := (iff #1813 #106) +#2415 := [rewrite]: #2414 +#2818 := [monotonicity #2415 #2455 #2495 #2815]: #2817 +#2823 := [trans #2818 #2821]: #2822 +#2412 := (iff #1808 #2409) +#2375 := (and #1789 #2369) +#2406 := (and #2375 #2403) +#2410 := (iff #2406 #2409) +#2411 := [rewrite]: #2410 +#2407 := (iff #1808 #2406) +#2404 := (iff #1804 #2403) +#2401 := (iff #1801 #2400) +#2398 := (iff #1785 #2397) +#2395 := (iff #1781 #2394) +#2392 := (= #1780 #2391) +#2393 := [rewrite]: #2392 +#2396 := [monotonicity #2393]: #2395 +#2399 := [monotonicity #2396]: #2398 +#2402 := [monotonicity #2399]: #2401 +#2405 := [quant-intro #2402]: #2404 +#2388 := (iff #1798 #2375) +#2380 := (not #2375) +#2383 := (not #2380) +#2386 := (iff #2383 #2375) +#2387 := [rewrite]: #2386 +#2384 := (iff #1798 #2383) +#2381 := (iff #1793 #2380) +#2378 := (iff #1792 #2375) +#2372 := (and #2369 #1789) +#2376 := (iff #2372 #2375) +#2377 := [rewrite]: #2376 +#2373 := (iff #1792 #2372) +#2370 := (iff #1791 #2369) +#2367 := (iff #1790 #2366) +#2368 := [rewrite]: #2367 +#2371 := [monotonicity #2368]: #2370 +#2374 := [monotonicity #2371]: #2373 +#2379 := [trans #2374 #2377]: #2378 +#2382 := [monotonicity #2379]: #2381 +#2385 := [monotonicity #2382]: #2384 +#2389 := [trans #2385 #2387]: #2388 +#2408 := [monotonicity #2389 #2405]: #2407 +#2413 := [trans #2408 #2411]: #2412 +#2826 := [monotonicity #2413 #2823]: #2825 +#2829 := [monotonicity #2826]: #2828 +#2364 := (iff #1762 #2363) +#2361 := (iff #1761 #2360) +#2358 := (iff #1753 #2357) +#2355 := (= #1752 #2354) +#2356 := [rewrite]: #2355 +#2359 := [monotonicity #2356]: #2358 +#2351 := (iff #1760 #2350) +#2348 := (iff #1759 #2347) +#2349 := [rewrite]: #2348 +#2352 := [monotonicity #2349]: #2351 +#2362 := [monotonicity #2352 #2359]: #2361 +#2365 := [monotonicity #2362]: #2364 +#2832 := [monotonicity #2365 #2829]: #2831 +#2835 := [monotonicity #2832]: #2834 +#2345 := (iff #1732 #2344) +#2342 := (iff #1731 #2341) +#2339 := (iff #1725 #2336) +#2328 := (+ #1722 #1723) +#2331 := (>= #2328 0::int) +#2337 := (iff #2331 #2336) +#2338 := [rewrite]: #2337 +#2332 := (iff #1725 #2331) +#2329 := (= #1724 #2328) +#2330 := [rewrite]: #2329 +#2333 := [monotonicity #2330]: #2332 +#2340 := [trans #2333 #2338]: #2339 +#2326 := (iff #1730 #2325) +#2323 := (iff #1729 #2322) +#2324 := [rewrite]: #2323 +#2327 := [monotonicity #2324]: #2326 +#2343 := [monotonicity #2327 #2340]: #2342 +#2346 := [monotonicity #2343]: #2345 +#2838 := [monotonicity #2346 #2835]: #2837 +#2841 := [monotonicity #2838]: #2840 +#2844 := [monotonicity #2841]: #2843 +#2320 := (iff #1662 #78) +#2321 := [rewrite]: #2320 +#2847 := [monotonicity #2321 #2844]: #2846 +#2850 := [monotonicity #2847]: #2849 +#1636 := (not #1600) +#2315 := (~ #1636 #2314) +#2311 := (not #1597) +#2312 := (~ #2311 #2310) +#2307 := (not #1594) +#2308 := (~ #2307 #2306) +#2303 := (not #1591) +#2304 := (~ #2303 #2302) +#2299 := (not #1588) +#2300 := (~ #2299 #2298) +#2295 := (not #1585) +#2296 := (~ #2295 #2294) +#2291 := (not #1582) +#2292 := (~ #2291 #2290) +#2287 := (not #1579) +#2288 := (~ #2287 #2286) +#2283 := (not #1576) +#2284 := (~ #2283 #2282) +#2279 := (not #1571) +#2280 := (~ #2279 #2278) +#2275 := (not #1542) +#2276 := (~ #2275 #1539) +#2273 := (~ #1539 #1539) +#2271 := (~ #1536 #1536) +#2272 := [refl]: #2271 +#2274 := [nnf-pos #2272]: #2273 +#2277 := [nnf-neg #2274]: #2276 +#2268 := (not #1533) +#2269 := (~ #2268 #1530) +#2266 := (~ #1530 #1530) +#2264 := (~ #1527 #1527) +#2265 := [refl]: #2264 +#2267 := [nnf-pos #2265]: #2266 +#2270 := [nnf-neg #2267]: #2269 +#2261 := (not #1522) +#2262 := (~ #2261 #1519) +#2259 := (~ #1519 #1519) +#2257 := (~ #1516 #1516) +#2258 := [refl]: #2257 +#2260 := [nnf-pos #2258]: #2259 +#2263 := [nnf-neg #2260]: #2262 +#2254 := (not #1499) +#2255 := (~ #2254 #2253) +#2250 := (not #1494) +#2251 := (~ #2250 #2249) +#2247 := (~ #1460 #1460) +#2248 := [refl]: #2247 +#2244 := (not #1455) +#2245 := (~ #2244 #1452) +#2242 := (~ #1452 #1452) +#2240 := (~ #1449 #1449) +#2241 := [refl]: #2240 +#2243 := [nnf-pos #2241]: #2242 +#2246 := [nnf-neg #2243]: #2245 +#2237 := (not #1442) +#2238 := (~ #2237 #1439) +#2235 := (~ #1439 #1439) +#2233 := (~ #1436 #1436) +#2234 := [refl]: #2233 +#2236 := [nnf-pos #2234]: #2235 +#2239 := [nnf-neg #2236]: #2238 +#2230 := (not #1425) +#2231 := (~ #2230 #2229) +#2226 := (not #1422) +#2227 := (~ #2226 #2225) +#2222 := (not #1419) +#2223 := (~ #2222 #2221) +#2218 := (not #1416) +#2219 := (~ #2218 #2217) +#2214 := (not #1413) +#2215 := (~ #2214 #2213) +#2210 := (not #1410) +#2211 := (~ #2210 #2209) +#2206 := (not #1407) +#2207 := (~ #2206 #2205) +#2202 := (not #1404) +#2203 := (~ #2202 #2201) +#2198 := (not #1401) +#2199 := (~ #2198 #2197) +#2194 := (not #1398) +#2195 := (~ #2194 #2193) +#2190 := (not #1395) +#2191 := (~ #2190 #2189) +#2186 := (not #1392) +#2187 := (~ #2186 #2185) +#2167 := (not #1389) +#2183 := (~ #2167 #2180) +#2157 := (exists (vars (?x76 T2)) #2156) +#2165 := (or #2164 #2157) +#2166 := (not #2165) +#2181 := (~ #2166 #2180) +#2177 := (not #2157) +#2178 := (~ #2177 #2176) +#2174 := (~ #2173 #2173) +#2175 := [refl]: #2174 +#2179 := [nnf-neg #2175]: #2178 +#2171 := (~ #2170 #2170) +#2172 := [refl]: #2171 +#2182 := [nnf-neg #2172 #2179]: #2181 +#2168 := (~ #2167 #2166) +#2169 := [sk]: #2168 +#2184 := [trans #2169 #2182]: #2183 +#2143 := (not #1352) +#2144 := (~ #2143 #1349) +#2141 := (~ #1349 #1349) +#2139 := (~ #1346 #1346) +#2140 := [refl]: #2139 +#2142 := [nnf-pos #2140]: #2141 +#2145 := [nnf-neg #2142]: #2144 +#2188 := [nnf-neg #2145 #2184]: #2187 +#2135 := (~ #1352 #2134) +#2136 := [sk]: #2135 +#2192 := [nnf-neg #2136 #2188]: #2191 +#2113 := (not #1328) +#2114 := (~ #2113 #1325) +#2111 := (~ #1325 #1325) +#2109 := (~ #1322 #1322) +#2110 := [refl]: #2109 +#2112 := [nnf-pos #2110]: #2111 +#2115 := [nnf-neg #2112]: #2114 +#2196 := [nnf-neg #2115 #2192]: #2195 +#2105 := (~ #1328 #2104) +#2106 := [sk]: #2105 +#2200 := [nnf-neg #2106 #2196]: #2199 +#2088 := (not #1314) +#2089 := (~ #2088 #1311) +#2086 := (~ #1311 #1311) +#2084 := (~ #1308 #1308) +#2085 := [refl]: #2084 +#2087 := [nnf-pos #2085]: #2086 +#2090 := [nnf-neg #2087]: #2089 +#2204 := [nnf-neg #2090 #2200]: #2203 +#2080 := (~ #1314 #2079) +#2081 := [sk]: #2080 +#2208 := [nnf-neg #2081 #2204]: #2207 +#2074 := (~ #2073 #2073) +#2075 := [refl]: #2074 +#2212 := [nnf-neg #2075 #2208]: #2211 +#2071 := (~ #1305 #1305) +#2072 := [refl]: #2071 +#2216 := [nnf-neg #2072 #2212]: #2215 +#2068 := (not #783) +#2069 := (~ #2068 #667) +#2066 := (~ #667 #667) +#2064 := (~ #662 #662) +#2065 := [refl]: #2064 +#2067 := [nnf-pos #2065]: #2066 +#2070 := [nnf-neg #2067]: #2069 +#2220 := [nnf-neg #2070 #2216]: #2219 +#2060 := (~ #783 #2059) +#2061 := [sk]: #2060 +#2224 := [nnf-neg #2061 #2220]: #2223 +#2049 := (not #1300) +#2050 := (~ #2049 #1297) +#2047 := (~ #1297 #1297) +#2045 := (~ #1292 #1292) +#2046 := [refl]: #2045 +#2048 := [nnf-pos #2046]: #2047 +#2051 := [nnf-neg #2048]: #2050 +#2228 := [nnf-neg #2051 #2224]: #2227 +#2041 := (~ #1300 #2040) +#2042 := [sk]: #2041 +#2232 := [nnf-neg #2042 #2228]: #2231 +#2031 := (not #1289) +#2032 := (~ #2031 #1286) +#2029 := (~ #1286 #1286) +#2027 := (~ #1281 #1281) +#2028 := [refl]: #2027 +#2030 := [nnf-pos #2028]: #2029 +#2033 := [nnf-neg #2030]: #2032 +#2024 := (not #1470) +#2025 := (~ #2024 #2019) +#2020 := (~ #1239 #2019) +#2021 := [sk]: #2020 +#2026 := [nnf-neg #2021]: #2025 +#2009 := (~ #2008 #2008) +#2010 := [refl]: #2009 +#2006 := (~ #176 #176) +#2007 := [refl]: #2006 +#2252 := [nnf-neg #2007 #2010 #2026 #2033 #2232 #2239 #2246 #2248]: #2251 +#2003 := (not #1257) +#2004 := (~ #2003 #2002) +#2000 := (~ #1470 #1999) +#1997 := (~ #1996 #1996) +#1998 := [refl]: #1997 +#2001 := [nnf-neg #1998]: #2000 +#1993 := (not #1233) +#1994 := (~ #1993 #1992) +#1989 := (not #1230) +#1990 := (~ #1989 #1988) +#1985 := (not #1227) +#1986 := (~ #1985 #1984) +#1981 := (not #1222) +#1982 := (~ #1981 #1980) +#1977 := (not #1214) +#1978 := (~ #1977 #1211) +#1975 := (~ #1211 #1211) +#1973 := (~ #1208 #1208) +#1974 := [refl]: #1973 +#1976 := [nnf-pos #1974]: #1975 +#1979 := [nnf-neg #1976]: #1978 +#1971 := (~ #1970 #1970) +#1972 := [refl]: #1971 +#1983 := [nnf-neg #1972 #1979]: #1982 +#1966 := (~ #1214 #1965) +#1967 := [sk]: #1966 +#1987 := [nnf-neg #1967 #1983]: #1986 +#1941 := (not #1196) +#1942 := (~ #1941 #1938) +#1939 := (~ #1193 #1938) +#1936 := (~ #1190 #1935) +#1931 := (~ #1187 #1930) +#1932 := [sk]: #1931 +#1919 := (~ #1171 #1171) +#1920 := [refl]: #1919 +#1937 := [monotonicity #1920 #1932]: #1936 +#1940 := [nnf-pos #1937]: #1939 +#1943 := [nnf-neg #1940]: #1942 +#1991 := [nnf-neg #1943 #1987]: #1990 +#1917 := (~ #1196 #1914) +#1892 := (exists (vars (?x50 T2)) #1891) +#1900 := (or #1899 #1892) +#1901 := (not #1900) +#1915 := (~ #1901 #1914) +#1911 := (not #1892) +#1912 := (~ #1911 #1910) +#1908 := (~ #1907 #1907) +#1909 := [refl]: #1908 +#1913 := [nnf-neg #1909]: #1912 +#1905 := (~ #1904 #1904) +#1906 := [refl]: #1905 +#1916 := [nnf-neg #1906 #1913]: #1915 +#1902 := (~ #1196 #1901) +#1903 := [sk]: #1902 +#1918 := [trans #1903 #1916]: #1917 +#1995 := [nnf-neg #1918 #1991]: #1994 +#1879 := (~ #1878 #1878) +#1880 := [refl]: #1879 +#1876 := (~ #1875 #1875) +#1877 := [refl]: #1876 +#1873 := (~ #1872 #1872) +#1874 := [refl]: #1873 +#1870 := (~ #1869 #1869) +#1871 := [refl]: #1870 +#2005 := [nnf-neg #1871 #1874 #1877 #1880 #1995 #2001]: #2004 +#2256 := [nnf-neg #2005 #2252]: #2255 +#1866 := (not #1159) +#1867 := (~ #1866 #1863) +#1864 := (~ #1156 #1863) +#1861 := (~ #1153 #1860) +#1856 := (~ #1150 #1855) +#1857 := [sk]: #1856 +#1843 := (~ #1126 #1126) +#1844 := [refl]: #1843 +#1862 := [monotonicity #1844 #1857]: #1861 +#1865 := [nnf-pos #1862]: #1864 +#1868 := [nnf-neg #1865]: #1867 +#1840 := (not #1550) +#1841 := (~ #1840 #1837) +#1838 := (~ #1114 #1837) +#1835 := (~ #1111 #1834) +#1830 := (~ #1108 #1829) +#1831 := [sk]: #1830 +#1816 := (~ #1088 #1088) +#1817 := [refl]: #1816 +#1836 := [monotonicity #1817 #1831]: #1835 +#1839 := [nnf-pos #1836]: #1838 +#1842 := [nnf-neg #1839]: #1841 +#1814 := (~ #1813 #1813) +#1815 := [refl]: #1814 +#2281 := [nnf-neg #1815 #1842 #1868 #2256 #2263 #2270 #2277]: #2280 +#1811 := (~ #1550 #1808) +#1786 := (exists (vars (?x38 T2)) #1785) +#1794 := (or #1793 #1786) +#1795 := (not #1794) +#1809 := (~ #1795 #1808) +#1805 := (not #1786) +#1806 := (~ #1805 #1804) +#1802 := (~ #1801 #1801) +#1803 := [refl]: #1802 +#1807 := [nnf-neg #1803]: #1806 +#1799 := (~ #1798 #1798) +#1800 := [refl]: #1799 +#1810 := [nnf-neg #1800 #1807]: #1809 +#1796 := (~ #1550 #1795) +#1797 := [sk]: #1796 +#1812 := [trans #1797 #1810]: #1811 +#2285 := [nnf-neg #1812 #2281]: #2284 +#1771 := (not #1076) +#1772 := (~ #1771 #1073) +#1769 := (~ #1073 #1073) +#1767 := (~ #1070 #1070) +#1768 := [refl]: #1767 +#1770 := [nnf-pos #1768]: #1769 +#1773 := [nnf-neg #1770]: #1772 +#2289 := [nnf-neg #1773 #2285]: #2288 +#1763 := (~ #1076 #1762) +#1764 := [sk]: #1763 +#2293 := [nnf-neg #1764 #2289]: #2292 +#1741 := (not #1050) +#1742 := (~ #1741 #1047) +#1739 := (~ #1047 #1047) +#1737 := (~ #1044 #1044) +#1738 := [refl]: #1737 +#1740 := [nnf-pos #1738]: #1739 +#1743 := [nnf-neg #1740]: #1742 +#2297 := [nnf-neg #1743 #2293]: #2296 +#1733 := (~ #1050 #1732) +#1734 := [sk]: #1733 +#2301 := [nnf-neg #1734 #2297]: #2300 +#1716 := (not #1035) +#1717 := (~ #1716 #1032) +#1714 := (~ #1032 #1032) +#1712 := (~ #1031 #1031) +#1713 := [refl]: #1712 +#1715 := [nnf-pos #1713]: #1714 +#1718 := [nnf-neg #1715]: #1717 +#2305 := [nnf-neg #1718 #2301]: #2304 +#1708 := (~ #1035 #1707) +#1709 := [sk]: #1708 +#2309 := [nnf-neg #1709 #2305]: #2308 +#1663 := (~ #1662 #1662) +#1703 := [refl]: #1663 +#2313 := [nnf-neg #1703 #2309]: #2312 +#1701 := (~ #1026 #1026) +#1702 := [refl]: #1701 +#2316 := [nnf-neg #1702 #2313]: #2315 +#1637 := [not-or-elim #1633]: #1636 +#2317 := [mp~ #1637 #2316]: #2314 +#2318 := [mp #2317 #2850]: #2848 +#3492 := [mp #2318 #3491]: #3489 +#4421 := [mp #3492 #4420]: #4418 +#10019 := [unit-resolution #4421 #5020]: #4415 +#3747 := (or #4412 #4406) +#3590 := [def-axiom]: #3747 +#10022 := [unit-resolution #3590 #10019]: #4406 +#10023 := (or #4409 #4403) +#3664 := (* -1::int #1705) +#3631 := (+ uf_9 #3664) +#3633 := (<= #3631 0::int) +#3738 := (= uf_9 #1705) +#3712 := (= uf_11 ?x27!0) +#3561 := (not #3712) +#3560 := (= #1705 0::int) +#4453 := (not #3560) +#4452 := [hypothesis]: #1707 +#4504 := (or #4453 #1706) +#4505 := [th-lemma]: #4504 +#4506 := [unit-resolution #4505 #4452]: #4453 +#3571 := (or #3570 #3560 #3561) +#3727 := (= ?x27!0 uf_11) +#3562 := (not #3727) +#3563 := (or #3562 #3560) +#3572 := (or #3570 #3563) +#4443 := (iff #3572 #3571) +#3585 := (or #3560 #3561) +#4444 := (or #3570 #3585) +#4447 := (iff #4444 #3571) +#4448 := [rewrite]: #4447 +#4445 := (iff #3572 #4444) +#3583 := (iff #3563 #3585) +#4429 := (or #3561 #3560) +#3569 := (iff #4429 #3585) +#3566 := [rewrite]: #3569 +#3584 := (iff #3563 #4429) +#3564 := (iff #3562 #3561) +#3710 := (iff #3727 #3712) +#3713 := [rewrite]: #3710 +#4428 := [monotonicity #3713]: #3564 +#3576 := [monotonicity #4428]: #3584 +#3567 := [trans #3576 #3566]: #3583 +#4446 := [monotonicity #3567]: #4445 +#4449 := [trans #4446 #4448]: #4443 +#3568 := [quant-inst]: #3572 +#4450 := [mp #3568 #4449]: #3571 +#4507 := [unit-resolution #4450 #4427 #4506]: #3561 +#3695 := (or #3712 #3738) +#4043 := (forall (vars (?x25 T2)) (:pat #4042) #405) +#4046 := (iff #410 #4043) +#4044 := (iff #405 #405) +#4045 := [refl]: #4044 +#4047 := [quant-intro #4045]: #4046 +#1660 := (~ #410 #410) +#1698 := (~ #405 #405) +#1699 := [refl]: #1698 +#1661 := [nnf-pos #1699]: #1660 +#1635 := [not-or-elim #1633]: #410 +#1700 := [mp~ #1635 #1661]: #410 +#4048 := [mp #1700 #4047]: #4043 +#3698 := (not #4043) +#3699 := (or #3698 #3712 #3738) +#3730 := (or #3727 #3738) +#3700 := (or #3698 #3730) +#3662 := (iff #3700 #3699) +#3702 := (or #3698 #3695) +#3653 := (iff #3702 #3699) +#3660 := [rewrite]: #3653 +#3659 := (iff #3700 #3702) +#3697 := (iff #3730 #3695) +#3711 := [monotonicity #3713]: #3697 +#3661 := [monotonicity #3711]: #3659 +#3663 := [trans #3661 #3660]: #3662 +#3701 := [quant-inst]: #3700 +#3654 := [mp #3701 #3663]: #3699 +#4508 := [unit-resolution #3654 #4048]: #3695 +#4509 := [unit-resolution #4508 #4507]: #3738 +#4510 := (not #3738) +#4511 := (or #4510 #3633) +#4512 := [th-lemma]: #4511 +#4492 := [unit-resolution #4512 #4509]: #3633 +#4451 := (<= #1705 0::int) +#4493 := (or #4451 #1706) +#4494 := [th-lemma]: #4493 +#4495 := [unit-resolution #4494 #4452]: #4451 +#335 := (<= uf_9 0::int) +#336 := (not #335) +#54 := (< 0::int uf_9) +#337 := (iff #54 #336) +#338 := [rewrite]: #337 +#331 := [asserted]: #54 +#339 := [mp #331 #338]: #336 +#4496 := [th-lemma #339 #4495 #4492]: false +#4491 := [lemma #4496]: #1706 +#3742 := (or #4409 #1707 #4403) +#3743 := [def-axiom]: #3742 +#10024 := [unit-resolution #3743 #4491]: #10023 +#10025 := [unit-resolution #10024 #10022]: #4403 +#3766 := (or #4400 #4394) +#3767 := [def-axiom]: #3766 +#10018 := [unit-resolution #3767 #10025]: #4394 +#3761 := (or #4397 #2108 #4391) +#3762 := [def-axiom]: #3761 +#10026 := [unit-resolution #3762 #10018]: #4394 +#10027 := [unit-resolution #10026 #10021]: #4391 +#3787 := (or #4388 #4382) +#3788 := [def-axiom]: #3787 +#10028 := [unit-resolution #3788 #10027]: #4382 +#3783 := (or #4385 #2893 #4379) +#3784 := [def-axiom]: #3783 +#10029 := [unit-resolution #3784 #10028 #10020]: #4379 +#3771 := (or #4376 #4370) +#3772 := [def-axiom]: #3771 +#10030 := [unit-resolution #3772 #10029]: #4370 +#10032 := (or #4373 #4367) +#4499 := [hypothesis]: #4087 +#3969 := (or #4084 #2369) +#3970 := [def-axiom]: #3969 +#4636 := [unit-resolution #3970 #4499]: #2369 +#4584 := (= uf_9 #1777) +#4727 := (not #4584) +#3636 := (or #4084 #1789) +#3968 := [def-axiom]: #3636 +#4637 := [unit-resolution #3968 #4499]: #1789 +#4737 := (or #4727 #1788) +#4738 := [th-lemma]: #4737 +#4739 := [unit-resolution #4738 #4637]: #4727 +#4758 := (or #4584 #2366) +#4728 := [hypothesis]: #4727 +#4729 := [hypothesis]: #2369 +#4641 := (or #3698 #2366 #4584) +#4585 := (or #1790 #4584) +#4642 := (or #3698 #4585) +#4628 := (iff #4642 #4641) +#4638 := (or #2366 #4584) +#4644 := (or #3698 #4638) +#4626 := (iff #4644 #4641) +#4627 := [rewrite]: #4626 +#4624 := (iff #4642 #4644) +#4639 := (iff #4585 #4638) +#4640 := [monotonicity #2368]: #4639 +#4625 := [monotonicity #4640]: #4624 +#4623 := [trans #4625 #4627]: #4628 +#4643 := [quant-inst]: #4642 +#4629 := [mp #4643 #4623]: #4641 +#4730 := [unit-resolution #4629 #4048 #4729 #4728]: false +#4760 := [lemma #4730]: #4758 +#4740 := [unit-resolution #4760 #4739 #4636]: false +#4741 := [lemma #4740]: #4084 +#3805 := (or #4373 #4087 #4367) +#3815 := [def-axiom]: #3805 +#10033 := [unit-resolution #3815 #4741]: #10032 +#10034 := [unit-resolution #10033 #10030]: #4367 +#3800 := (or #4364 #4358) +#3759 := [def-axiom]: #3800 +#10246 := [unit-resolution #3759 #10034]: #4358 +#3593 := (not #2607) +#3836 := (or #4364 #106) +#3832 := [def-axiom]: #3836 +#10035 := [unit-resolution #3832 #10034]: #106 +#8124 := (= #161 #105) +#4885 := [hypothesis]: #4200 +#3652 := (or #4197 #495) +#3934 := [def-axiom]: #3652 +#4886 := [unit-resolution #3934 #4885]: #495 +#8139 := [symm #4886]: #142 +#7937 := [monotonicity #8139]: #8124 +#4736 := [trans #7937 #10035]: #162 +#3612 := (or #4173 #1970) +#3613 := [def-axiom]: #3612 +#7107 := [unit-resolution #3613 #4736]: #4173 +#3939 := (or #4197 #4191) +#3928 := [def-axiom]: #3939 +#8726 := [unit-resolution #3928 #4885]: #4191 +#10469 := (or #4151 #586) +#8744 := (?x47!7 ?x49!8) +#8817 := (uf_4 uf_19 #8744) +#8836 := (* -1::int #8817) +#8739 := (uf_4 uf_14 #8744) +#9868 := (+ #8739 #8836) +#9874 := (>= #9868 0::int) +#9867 := (= #8739 #8817) +#10418 := (= #8817 #8739) +#6250 := [hypothesis]: #495 +#10417 := [symm #6250]: #142 +#10419 := [monotonicity #10417]: #10418 +#10420 := [symm #10419]: #9867 +#10421 := (not #9867) +#10416 := (or #10421 #9874) +#10422 := [th-lemma]: #10416 +#10423 := [unit-resolution #10422 #10420]: #9874 +#8745 := (* -1::int #8739) +#8586 := (uf_4 uf_14 ?x49!8) +#8746 := (+ #8586 #8745) +#8747 := (<= #8746 0::int) +#8789 := (not #8747) +#8770 := (up_6 uf_15 #8744) +#8771 := (not #8770) +#8748 := (uf_1 #8744 ?x49!8) +#8749 := (uf_10 #8748) +#8765 := (* -1::int #8749) +#8766 := (+ #8745 #8765) +#8767 := (+ #8586 #8766) +#8768 := (= #8767 0::int) +#8769 := (not #8768) +#8754 := (or #8747 #8769 #8771) +#8757 := (not #8754) +#8721 := (* -1::int #8586) +#8734 := (+ uf_9 #8721) +#8722 := (<= #8734 0::int) +#8939 := (not #8722) +#10424 := [hypothesis]: #4154 +#3622 := (or #4151 #1895) +#3627 := [def-axiom]: #3622 +#10425 := [unit-resolution #3627 #10424]: #1895 +#8935 := (+ #1882 #8721) +#8932 := (>= #8935 0::int) +#8934 := (= #1882 #8586) +#10426 := (= #8586 #1882) +#10427 := [monotonicity #6250]: #10426 +#10428 := [symm #10427]: #8934 +#10429 := (not #8934) +#10430 := (or #10429 #8932) +#10431 := [th-lemma]: #10430 +#10432 := [unit-resolution #10431 #10428]: #8932 +#8931 := (not #8932) +#8940 := (or #8939 #8931 #1894) +#8936 := [hypothesis]: #1895 +#8933 := [hypothesis]: #8722 +#8937 := [hypothesis]: #8932 +#8938 := [th-lemma #8937 #8933 #8936]: false +#8738 := [lemma #8938]: #8940 +#10433 := [unit-resolution #8738 #10432 #10425]: #8939 +#10443 := (or #8722 #8757) +#3963 := (or #4151 #2507) +#3623 := [def-axiom]: #3963 +#10434 := [unit-resolution #3623 #10424]: #2507 +#3825 := (or #4364 #4124) +#3793 := [def-axiom]: #3825 +#10442 := [unit-resolution #3793 #10034]: #4124 +#8762 := (or #4129 #2504 #8722 #8757) +#8772 := (or #8771 #8769 #8747) +#8773 := (not #8772) +#8753 := (or #1896 #8722 #8773) +#8775 := (or #4129 #8753) +#8781 := (iff #8775 #8762) +#8759 := (or #2504 #8722 #8757) +#8777 := (or #4129 #8759) +#8774 := (iff #8777 #8762) +#8780 := [rewrite]: #8774 +#8778 := (iff #8775 #8777) +#8760 := (iff #8753 #8759) +#8752 := (iff #8773 #8757) +#8755 := (iff #8772 #8754) +#8756 := [rewrite]: #8755 +#8758 := [monotonicity #8756]: #8752 +#8761 := [monotonicity #2506 #8758]: #8760 +#8779 := [monotonicity #8761]: #8778 +#8782 := [trans #8779 #8780]: #8781 +#8776 := [quant-inst]: #8775 +#8783 := [mp #8776 #8782]: #8762 +#10444 := [unit-resolution #8783 #10442 #10434]: #10443 +#10445 := [unit-resolution #10444 #10433]: #8757 +#8787 := (or #8754 #8789) +#8790 := [def-axiom]: #8787 +#10446 := [unit-resolution #8790 #10445]: #8789 +#8831 := (+ #1882 #8836) +#8848 := (<= #8831 0::int) +#8893 := (+ #8765 #8836) +#8894 := (+ #1882 #8893) +#8912 := (= #8894 0::int) +#9084 := (<= #8894 0::int) +#9871 := (<= #9868 0::int) +#10447 := (or #10421 #9871) +#10448 := [th-lemma]: #10447 +#10449 := [unit-resolution #10448 #10420]: #9871 +#8784 := (<= #8767 0::int) +#8791 := (or #8754 #8768) +#8792 := [def-axiom]: #8791 +#10450 := [unit-resolution #8792 #10445]: #8768 +#10451 := (or #8769 #8784) +#10452 := [th-lemma]: #10451 +#10453 := [unit-resolution #10452 #10450]: #8784 +#8930 := (<= #8935 0::int) +#10454 := (or #10429 #8930) +#10455 := [th-lemma]: #10454 +#10456 := [unit-resolution #10455 #10428]: #8930 +#10096 := (not #9871) +#10098 := (not #8784) +#10097 := (not #8930) +#10099 := (or #9084 #10097 #10098 #10096) +#10059 := [hypothesis]: #9871 +#10060 := [hypothesis]: #8784 +#10062 := [hypothesis]: #8930 +#10063 := (not #9084) +#10064 := [hypothesis]: #10063 +#10065 := [th-lemma #10064 #10062 #10060 #10059]: false +#10100 := [lemma #10065]: #10099 +#10457 := [unit-resolution #10100 #10456 #10453 #10449]: #9084 +#9068 := (>= #8894 0::int) +#8788 := (>= #8767 0::int) +#10458 := (or #8769 #8788) +#10459 := [th-lemma]: #10458 +#10460 := [unit-resolution #10459 #10450]: #8788 +#10439 := (not #9874) +#10007 := (not #8788) +#10440 := (or #9068 #8931 #10007 #10439) +#10435 := [hypothesis]: #9874 +#9938 := [hypothesis]: #8788 +#10436 := (not #9068) +#10437 := [hypothesis]: #10436 +#10438 := [th-lemma #10437 #8937 #9938 #10435]: false +#10441 := [lemma #10438]: #10440 +#10461 := [unit-resolution #10441 #10432 #10460 #10423]: #9068 +#10462 := (or #8912 #10063 #10436) +#10463 := [th-lemma]: #10462 +#10464 := [unit-resolution #10463 #10461 #10457]: #8912 +#8911 := (not #8912) +#8918 := (or #8848 #8911) +#3964 := (or #4151 #4143) +#3607 := [def-axiom]: #3964 +#10465 := [unit-resolution #3607 #10424]: #4143 +#9022 := (or #4148 #8848 #8911) +#8815 := (+ #1883 #8749) +#8818 := (+ #8817 #8815) +#8819 := (= #8818 0::int) +#8820 := (not #8819) +#8821 := (+ #8817 #1883) +#8825 := (>= #8821 0::int) +#8826 := (or #8825 #8820) +#9031 := (or #4148 #8826) +#9081 := (iff #9031 #9022) +#9078 := (or #4148 #8918) +#9024 := (iff #9078 #9022) +#9080 := [rewrite]: #9024 +#9079 := (iff #9031 #9078) +#8919 := (iff #8826 #8918) +#8916 := (iff #8820 #8911) +#8915 := (iff #8819 #8912) +#8886 := (+ #8749 #8817) +#8887 := (+ #1883 #8886) +#8890 := (= #8887 0::int) +#8913 := (iff #8890 #8912) +#8914 := [rewrite]: #8913 +#8891 := (iff #8819 #8890) +#8888 := (= #8818 #8887) +#8889 := [rewrite]: #8888 +#8892 := [monotonicity #8889]: #8891 +#8910 := [trans #8892 #8914]: #8915 +#8917 := [monotonicity #8910]: #8916 +#8857 := (iff #8825 #8848) +#8827 := (+ #1883 #8817) +#8833 := (>= #8827 0::int) +#8849 := (iff #8833 #8848) +#8856 := [rewrite]: #8849 +#8834 := (iff #8825 #8833) +#8829 := (= #8821 #8827) +#8832 := [rewrite]: #8829 +#8835 := [monotonicity #8832]: #8834 +#8858 := [trans #8835 #8856]: #8857 +#8920 := [monotonicity #8858 #8917]: #8919 +#9023 := [monotonicity #8920]: #9079 +#9082 := [trans #9023 #9080]: #9081 +#9032 := [quant-inst]: #9031 +#9083 := [mp #9032 #9082]: #9022 +#10466 := [unit-resolution #9083 #10465]: #8918 +#10467 := [unit-resolution #10466 #10464]: #8848 +#10468 := [th-lemma #10432 #10467 #10446 #10423]: false +#10470 := [lemma #10468]: #10469 +#8740 := [unit-resolution #10470 #4886]: #4151 +#3941 := (or #4194 #4154 #4188) +#3945 := [def-axiom]: #3941 +#8741 := [unit-resolution #3945 #8740 #8726]: #4188 +#3672 := (or #4185 #4179) +#3565 := [def-axiom]: #3672 +#8742 := [unit-resolution #3565 #8741]: #4179 +#3947 := (or #4182 #4176 #3161) +#3669 := [def-axiom]: #3947 +#8743 := [unit-resolution #3669 #8742 #7107]: #3161 +#3956 := (or #3156 #3593) +#3958 := [def-axiom]: #3956 +#8786 := [unit-resolution #3958 #8743]: #3593 +#3763 := (or #4364 #4099) +#3818 := [def-axiom]: #3763 +#10042 := [unit-resolution #3818 #10034]: #4099 +#3953 := (or #3156 #1957) +#3954 := [def-axiom]: #3953 +#8793 := [unit-resolution #3954 #8743]: #1957 +#3949 := (or #3156 #1961) +#3955 := [def-axiom]: #3949 +#8794 := [unit-resolution #3955 #8743]: #1961 +#4870 := (or #4197 #1956 #4104 #1960 #2607) +#4889 := (uf_4 uf_14 ?x53!11) +#4883 := (= #1946 #4889) +#4887 := (= #4889 #1946) +#4882 := [monotonicity #4886]: #4887 +#4888 := [symm #4882]: #4883 +#4890 := (* -1::int #4889) +#6163 := (+ #1946 #4890) +#6178 := (<= #6163 0::int) +#6288 := (not #6178) +#6191 := [hypothesis]: #3593 +#6244 := [hypothesis]: #1961 +#6247 := [hypothesis]: #4099 +#6249 := [hypothesis]: #1957 +#3938 := (or #4197 #4133) +#3935 := [def-axiom]: #3938 +#4841 := [unit-resolution #3935 #4885]: #4133 +#6294 := (or #6288 #1956 #4138 #4104 #1960 #2607 #586) +#5206 := (uf_4 uf_14 ?x54!10) +#5207 := (* -1::int #5206) +#5202 := (+ uf_9 #5207) +#5208 := (<= #5202 0::int) +#5209 := (up_6 uf_15 ?x54!10) +#5647 := (not #5209) +#5579 := (+ #4890 #5206) +#5580 := (+ #1951 #5579) +#5572 := (>= #5580 0::int) +#6194 := (not #5572) +#6196 := (+ #1948 #5207) +#6208 := (>= #6196 0::int) +#6195 := (= #1948 #5206) +#6209 := (= #5206 #1948) +#6207 := [monotonicity #6250]: #6209 +#6210 := [symm #6207]: #6195 +#6211 := (not #6195) +#6212 := (or #6211 #6208) +#6241 := [th-lemma]: #6212 +#6242 := [unit-resolution #6241 #6210]: #6208 +#6192 := [hypothesis]: #6178 +#6289 := (not #6208) +#6290 := (or #6194 #6288 #2607 #6289) +#6190 := [hypothesis]: #6208 +#6187 := [hypothesis]: #5572 +#6193 := [th-lemma #6187 #6192 #6191 #6190]: false +#6291 := [lemma #6193]: #6290 +#6243 := [unit-resolution #6291 #6192 #6191 #6242]: #6194 +#6248 := (or #5647 #5572) +#5669 := (or #4104 #1960 #5647 #5572) +#5605 := (+ #5206 #4890) +#5606 := (+ #1951 #5605) +#5646 := (>= #5606 0::int) +#5578 := (or #5647 #1960 #5646) +#5674 := (or #4104 #5578) +#5939 := (iff #5674 #5669) +#5670 := (or #1960 #5647 #5572) +#5676 := (or #4104 #5670) +#5909 := (iff #5676 #5669) +#5910 := [rewrite]: #5909 +#5677 := (iff #5674 #5676) +#5673 := (iff #5578 #5670) +#5598 := (or #5647 #1960 #5572) +#5671 := (iff #5598 #5670) +#5672 := [rewrite]: #5671 +#5601 := (iff #5578 #5598) +#5599 := (iff #5646 #5572) +#5581 := (= #5606 #5580) +#5582 := [rewrite]: #5581 +#5600 := [monotonicity #5582]: #5599 +#5602 := [monotonicity #5600]: #5601 +#5668 := [trans #5602 #5672]: #5673 +#5678 := [monotonicity #5668]: #5677 +#5940 := [trans #5678 #5910]: #5939 +#5675 := [quant-inst]: #5674 +#5941 := [mp #5675 #5940]: #5669 +#6177 := [unit-resolution #5941 #6247 #6244]: #6248 +#6189 := [unit-resolution #6177 #6243]: #5647 +#5211 := (or #5208 #5209) +#6168 := [hypothesis]: #4133 +#5237 := (or #4138 #5208 #5209) +#5210 := (or #5209 #5208) +#5238 := (or #4138 #5210) +#5244 := (iff #5238 #5237) +#5240 := (or #4138 #5211) +#5242 := (iff #5240 #5237) +#5243 := [rewrite]: #5242 +#5235 := (iff #5238 #5240) +#5212 := (iff #5210 #5211) +#5236 := [rewrite]: #5212 +#5241 := [monotonicity #5236]: #5235 +#5245 := [trans #5241 #5243]: #5244 +#5239 := [quant-inst]: #5238 +#5293 := [mp #5239 #5245]: #5237 +#6292 := [unit-resolution #5293 #6168]: #5211 +#6287 := [unit-resolution #6292 #6189]: #5208 +#6293 := [th-lemma #6242 #6287 #6249]: false +#6295 := [lemma #6293]: #6294 +#4866 := [unit-resolution #6295 #4841 #6249 #6247 #6244 #6191 #4886]: #6288 +#4867 := (not #4883) +#4868 := (or #4867 #6178) +#4869 := [th-lemma]: #4868 +#4840 := [unit-resolution #4869 #4866 #4888]: false +#4865 := [lemma #4840]: #4870 +#8795 := [unit-resolution #4865 #8794 #8793 #10042 #4885 #8786]: false +#8798 := [lemma #8795]: #4197 +#3834 := (or #4361 #4200 #4355) +#3835 := [def-axiom]: #3834 +#10367 := [unit-resolution #3835 #8798 #10246]: #4355 +#3856 := (or #4352 #184) +#3842 := [def-axiom]: #3856 +#10380 := [unit-resolution #3842 #10367]: #184 +#10381 := [symm #10380]: #7113 +#13521 := (= #11444 #183) +#13346 := (= #10482 uf_22) +#10483 := (= uf_22 #10482) +#13 := (uf_3 #12) +#295 := (= #11 #13) +#3982 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #3981) #295) +#299 := (forall (vars (?x2 T2) (?x3 T2)) #295) +#3985 := (iff #299 #3982) +#3983 := (iff #295 #295) +#3984 := [refl]: #3983 +#3986 := [quant-intro #3984]: #3985 +#1641 := (~ #299 #299) +#1673 := (~ #295 #295) +#1674 := [refl]: #1673 +#1639 := [nnf-pos #1674]: #1641 +#14 := (= #13 #11) +#15 := (forall (vars (?x2 T2) (?x3 T2)) #14) +#300 := (iff #15 #299) +#297 := (iff #14 #295) +#298 := [rewrite]: #297 +#301 := [quant-intro #298]: #300 +#294 := [asserted]: #15 +#304 := [mp #294 #301]: #299 +#1675 := [mp~ #304 #1639]: #299 +#3987 := [mp #1675 #3986]: #3982 +#7756 := (not #3982) +#10489 := (or #7756 #10483) +#10490 := [quant-inst]: #10489 +#13345 := [unit-resolution #10490 #3987]: #10483 +#13347 := [symm #13345]: #13346 +#13522 := [monotonicity #13347]: #13521 +#13524 := [trans #13522 #10381]: #13523 +#27228 := [monotonicity #13524 #27216]: #27227 +#27230 := [symm #27228]: #27229 +#27232 := [monotonicity #27230]: #27231 +#27226 := [hypothesis]: #16801 +#27233 := [mp #27226 #27232]: #27109 +#27075 := (= #10482 #19843) +#25893 := (up_6 uf_15 #19843) +#27081 := (or #25893 #27075) +#27086 := (iff #27073 #27081) #30 := (:var 1 T5) #20 := (:var 2 T2) #29 := (:var 3 T4) #31 := (uf_7 #29 #20 #30) #32 := (up_6 #31 #11) -#3845 := (pattern #32) +#4001 := (pattern #32) #35 := (up_6 #29 #11) #34 := (= #30 uf_8) #24 := (= #11 #20) #36 := (ite #24 #34 #35) #37 := (iff #32 #36) -#3846 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #3845) #37) +#4002 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #4001) #37) #38 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #37) -#3849 := (iff #38 #3846) -#3847 := (iff #37 #37) -#3848 := [refl]: #3847 -#3850 := [quant-intro #3848]: #3849 -#1505 := (~ #38 #38) -#1541 := (~ #37 #37) -#1542 := [refl]: #1541 -#1506 := [nnf-pos #1542]: #1505 -#309 := [asserted]: #38 -#1543 := [mp~ #309 #1506]: #38 -#3851 := [mp #1543 #3850]: #3846 -#6010 := (not #3846) -#30184 := (or #6010 #14006) -#5970 := (= uf_8 uf_8) -#13995 := (ite #13994 #5970 #11031) -#13997 := (iff #13996 #13995) -#30185 := (or #6010 #13997) -#30191 := (iff #30185 #30184) -#30193 := (iff #30184 #30184) -#30194 := [rewrite]: #30193 -#14007 := (iff #13997 #14006) -#14004 := (iff #13995 #14001) -#1 := true -#13998 := (ite #13994 true #11031) -#14002 := (iff #13998 #14001) -#14003 := [rewrite]: #14002 -#13999 := (iff #13995 #13998) -#5975 := (iff #5970 true) -#5976 := [rewrite]: #5975 -#14000 := [monotonicity #5976]: #13999 -#14005 := [trans #14000 #14003]: #14004 -#14008 := [monotonicity #14005]: #14007 -#30192 := [monotonicity #14008]: #30191 -#30195 := [trans #30192 #30194]: #30191 -#30190 := [quant-inst]: #30185 -#30196 := [mp #30190 #30195]: #30184 -#30517 := [unit-resolution #30196 #3851]: #14006 -#30208 := (not #13996) -#9424 := (up_6 uf_23 ?x75!20) -#9640 := (not #9424) -#30526 := (iff #9640 #30208) -#30524 := (iff #9424 #13996) -#30522 := (iff #13996 #9424) -#8591 := (= #8048 uf_23) -#191 := (uf_7 uf_15 uf_22 uf_8) -#7418 := (= #191 uf_23) -#192 := (= uf_23 #191) -#4136 := (or #3126 #4133) -#4139 := (not #4136) -#4104 := (pattern #199 #226) -#1336 := (>= #1338 0::int) -#224 := (up_6 uf_23 #10) -#3083 := (not #224) -#3098 := (or #216 #3083 #1336) -#4105 := (forall (vars (?x67 T2) (?x68 T2)) (:pat #4104) #3098) -#4110 := (not #4105) -#4142 := (or #4110 #4139) -#4145 := (not #4142) -decl ?x68!16 :: T2 -#1976 := ?x68!16 -#1980 := (uf_24 ?x68!16) -#2517 := (* -1::int #1980) -decl ?x67!17 :: T2 -#1977 := ?x67!17 -#1978 := (uf_24 ?x67!17) -#2518 := (+ #1978 #2517) -#2519 := (<= #2518 0::int) -#1984 := (up_6 uf_23 ?x68!16) -#1983 := (up_6 uf_23 ?x67!17) -#3060 := (not #1983) -#3075 := (or #3060 #1984 #2519) -#3080 := (not #3075) -#4148 := (or #3080 #4145) -#4151 := (not #4148) -#1327 := (>= #199 0::int) -#4096 := (forall (vars (?x65 T2)) (:pat #4062) #1327) -#4101 := (not #4096) -#4154 := (or #4101 #4151) -#4157 := (not #4154) -decl ?x65!15 :: T2 -#1961 := ?x65!15 -#1962 := (uf_24 ?x65!15) -#1963 := (>= #1962 0::int) -#1964 := (not #1963) -#4160 := (or #1964 #4157) -#4163 := (not #4160) -#219 := (uf_24 uf_11) -#220 := (= #219 0::int) -#1324 := (not #220) -#4166 := (or #1324 #4163) -#4169 := (not #4166) -#4172 := (or #1324 #4169) -#4175 := (not #4172) -#110 := (uf_4 uf_14 #11) -#3940 := (pattern #110) -#658 := (= #110 #199) -#700 := (or #223 #658) -#4088 := (forall (vars (?x63 T2)) (:pat #4087 #3940 #4062) #700) -#4093 := (not #4088) -#4178 := (or #4093 #4175) -#4181 := (not #4178) -decl ?x63!14 :: T2 -#1937 := ?x63!14 -#1939 := (uf_4 uf_14 ?x63!14) -#1938 := (uf_24 ?x63!14) -#2494 := (= #1938 #1939) -#1941 := (up_6 uf_23 ?x63!14) -#1942 := (not #1941) -#2497 := (or #1942 #2494) -#2500 := (not #2497) -#4184 := (or #2500 #4181) -#4187 := (not #4184) -#1248 := (* -1::int #199) -#1313 := (+ #110 #1248) -#1312 := (>= #1313 0::int) -#4079 := (forall (vars (?x61 T2)) (:pat #3940 #4062) #1312) -#4084 := (not #4079) -#4190 := (or #4084 #4187) -#4193 := (not #4190) -decl ?x61!13 :: T2 -#1919 := ?x61!13 -#1922 := (uf_4 uf_14 ?x61!13) -#2484 := (* -1::int #1922) -#1920 := (uf_24 ?x61!13) -#2485 := (+ #1920 #2484) -#2486 := (<= #2485 0::int) -#2491 := (not #2486) -#4196 := (or #2491 #4193) -#4199 := (not #4196) -#193 := (uf_1 uf_22 #11) -#4061 := (pattern #193) -#194 := (uf_10 #193) -#1229 := (* -1::int #194) -#1235 := (* -1::int #185) -#1236 := (+ #1235 #1229) -#1237 := (+ #110 #1236) -#1238 := (<= #1237 0::int) -#1230 := (+ uf_9 #1229) -#1231 := (<= #1230 0::int) -#3032 := (or #1231 #1238) -#3033 := (not #3032) -#3054 := (or #658 #3033) -#4071 := (forall (vars (?x60 T2)) (:pat #3940 #4062 #4061) #3054) -#4076 := (not #4071) -#1249 := (+ #194 #1248) -#1250 := (+ #185 #1249) -#1251 := (= #1250 0::int) -#3046 := (or #1231 #1238 #1251) -#4063 := (forall (vars (?x59 T2)) (:pat #4061 #3940 #4062) #3046) -#4068 := (not #4063) -decl ?x48!12 :: T2 -#1886 := ?x48!12 -#1892 := (up_6 uf_15 ?x48!12) -#1887 := (uf_4 uf_14 ?x48!12) -#1888 := (* -1::int #1887) -#1889 := (+ uf_9 #1888) -#1890 := (<= #1889 0::int) -#1281 := (+ uf_9 #1235) -#1282 := (<= #1281 0::int) -#114 := (up_6 uf_15 #11) -#3982 := (pattern #114) -#1272 := (+ #110 #1235) -#1271 := (>= #1272 0::int) -#1275 := (or #114 #1271) -#4053 := (forall (vars (?x58 T2)) (:pat #3982 #3940) #1275) -#4058 := (not #4053) -#3249 := (not #192) -#183 := (up_6 uf_15 uf_22) -#4202 := (or #183 #3249 #4058 #1282 #1890 #1892 #4068 #4076 #4199) -#4205 := (not #4202) -decl ?x53!11 :: T2 -#1827 := ?x53!11 -decl ?x54!10 :: T2 -#1826 := ?x54!10 -#1832 := (uf_1 ?x54!10 ?x53!11) -#1833 := (uf_10 #1832) -#1840 := (* -1::int #1833) -decl uf_19 :: T3 -#150 := uf_19 -#1830 := (uf_4 uf_19 ?x54!10) -#1836 := (* -1::int #1830) -#2443 := (+ #1836 #1840) -#1828 := (uf_4 uf_19 ?x53!11) -#2444 := (+ #1828 #2443) -#2445 := (<= #2444 0::int) -#1841 := (+ uf_9 #1840) -#1842 := (<= #1841 0::int) -#1837 := (+ uf_9 #1836) -#1838 := (<= #1837 0::int) -#2992 := (or #1838 #1842 #2445) -#2997 := (not #2992) -#163 := (uf_4 uf_19 #10) -#1165 := (* -1::int #163) -#160 := (uf_4 uf_19 #11) -#1166 := (+ #160 #1165) -#1172 := (+ #91 #1166) -#1195 := (>= #1172 0::int) -#1152 := (* -1::int #160) -#1153 := (+ uf_9 #1152) -#1154 := (<= #1153 0::int) -#2960 := (or #969 #1154 #1195) -#4015 := (forall (vars (?x53 T2) (?x54 T2)) (:pat #3916) #2960) -#4020 := (not #4015) -#175 := (uf_4 uf_19 uf_11) -#176 := (= #175 0::int) -#4023 := (or #176 #4020) -#4026 := (not #4023) -#4029 := (or #4026 #2997) -#4032 := (not #4029) -#3991 := (pattern #160) -decl ?x50!9 :: (-> T2 T2) -#1803 := (?x50!9 #11) -#1806 := (uf_1 #1803 #11) -#1807 := (uf_10 #1806) -#2413 := (* -1::int #1807) -#1804 := (uf_4 uf_19 #1803) -#2396 := (* -1::int #1804) -#2414 := (+ #2396 #2413) -#2415 := (+ #160 #2414) -#2416 := (= #2415 0::int) -#2930 := (not #2416) -#2397 := (+ #160 #2396) -#2398 := (<= #2397 0::int) -#2931 := (or #2398 #2930) -#2932 := (not #2931) -#65 := (= #11 uf_11) -#2938 := (or #65 #1154 #2932) -#4007 := (forall (vars (?x49 T2)) (:pat #3991) #2938) -#4012 := (not #4007) -#4035 := (or #4012 #4032) -#4038 := (not #4035) -decl ?x49!8 :: T2 -#1763 := ?x49!8 -#1767 := (uf_1 #11 ?x49!8) -#3992 := (pattern #1767) -#1768 := (uf_10 #1767) -#1764 := (uf_4 uf_19 ?x49!8) -#1765 := (* -1::int #1764) -#2366 := (+ #1765 #1768) -#2367 := (+ #160 #2366) -#2370 := (= #2367 0::int) -#2894 := (not #2370) -#1766 := (+ #160 #1765) -#1771 := (>= #1766 0::int) -#2895 := (or #1771 #2894) -#3993 := (forall (vars (?x50 T2)) (:pat #3991 #3992) #2895) -#3998 := (not #3993) -#2342 := (= uf_11 ?x49!8) -#1775 := (+ uf_9 #1765) -#1776 := (<= #1775 0::int) -#4001 := (or #1776 #2342 #3998) -#4004 := (not #4001) -#4041 := (or #4004 #4038) -#4044 := (not #4041) -#1054 := (* -1::int #110) -#1055 := (+ uf_9 #1054) -#1056 := (<= #1055 0::int) -#2880 := (or #114 #1056) -#3983 := (forall (vars (?x48 T2)) (:pat #3982 #3940) #2880) -#3988 := (not #3983) -#533 := (= uf_14 uf_19) -#3023 := (not #533) -decl uf_16 :: T4 -#145 := uf_16 -#530 := (= uf_15 uf_16) -#3022 := (not #530) -decl uf_21 :: T3 -#153 := uf_21 -decl uf_20 :: T3 -#152 := uf_20 -#154 := (= uf_20 uf_21) -#3021 := (not #154) -decl uf_18 :: T2 -#148 := uf_18 -decl uf_17 :: T2 -#147 := uf_17 -#149 := (= uf_17 uf_18) -#3020 := (not #149) -#4047 := (or #3020 #3021 #3022 #3023 #3988 #4044) -#4050 := (not #4047) -#4208 := (or #4050 #4205) -#4211 := (not #4208) -#1708 := (?x47!7 #11) -#1709 := (uf_4 uf_14 #1708) -#2309 := (* -1::int #1709) -#2324 := (+ #110 #2309) -#2325 := (<= #2324 0::int) -#1713 := (uf_1 #1708 #11) -#1714 := (uf_10 #1713) -#2310 := (* -1::int #1714) -#2311 := (+ #2309 #2310) -#2312 := (+ #110 #2311) -#2313 := (= #2312 0::int) -#2864 := (not #2313) -#1717 := (up_6 uf_15 #1708) -#2863 := (not #1717) -#2865 := (or #2863 #2864 #2325) -#2866 := (not #2865) -#2872 := (or #65 #1056 #2866) -#3974 := (forall (vars (?x46 T2)) (:pat #3940) #2872) -#3979 := (not #3974) -decl uf_12 :: (-> T2 int) -#66 := (uf_12 #11) -#3886 := (pattern #66) -decl ?x38!6 :: (-> T2 T2) -#1680 := (?x38!6 #11) -#1684 := (uf_12 #1680) -#2268 := (* -1::int #1684) -#1681 := (uf_1 #1680 #11) -#1682 := (uf_10 #1681) -#2285 := (* -1::int #1682) -#2286 := (+ #2285 #2268) -#2287 := (+ #66 #2286) -#2288 := (= #2287 0::int) -#2836 := (not #2288) -#2269 := (+ #66 #2268) -#2270 := (<= #2269 0::int) -decl up_13 :: (-> T2 bool) -#1690 := (up_13 #1680) -#2835 := (not #1690) -#2837 := (or #2835 #2270 #2836) -#2838 := (not #2837) -#993 := (* -1::int #66) -#994 := (+ uf_9 #993) -#995 := (<= #994 0::int) -#2844 := (or #65 #995 #2838) -#3966 := (forall (vars (?x37 T2)) (:pat #3886) #2844) -#3971 := (not #3966) -#116 := (up_6 uf_15 #10) -#3957 := (pattern #114 #116) -#118 := (uf_4 uf_14 #10) -#1045 := (* -1::int #118) -#1046 := (+ #110 #1045) -#1069 := (>= #1046 0::int) -#2801 := (not #116) -#2816 := (or #114 #2801 #1069) -#3958 := (forall (vars (?x42 T2) (?x43 T2)) (:pat #3957) #2816) -#3963 := (not #3958) -#1047 := (+ #91 #1046) -#1043 := (>= #1047 0::int) -#115 := (not #114) -#2793 := (or #115 #969 #1043) -#3949 := (forall (vars (?x44 T2) (?x45 T2)) (:pat #3916) #2793) -#3954 := (not #3949) -#1101 := (>= #110 0::int) -#3941 := (forall (vars (?x41 T2)) (:pat #3940) #1101) -#3946 := (not #3941) -#108 := (uf_4 uf_14 uf_11) -#109 := (= #108 0::int) -#3266 := (not #109) -#4214 := (or #3266 #3946 #3954 #3963 #3971 #3979 #4211) -#4217 := (not #4214) -decl ?x37!5 :: T2 -#1636 := ?x37!5 -#1637 := (uf_1 #11 ?x37!5) -#3925 := (pattern #1637) -#74 := (up_13 #11) -#3879 := (pattern #74) -#1639 := (uf_12 ?x37!5) -#1640 := (* -1::int #1639) -#1638 := (uf_10 #1637) -#2238 := (+ #1638 #1640) -#2239 := (+ #66 #2238) -#2242 := (= #2239 0::int) -#2754 := (not #2242) -#1644 := (+ #66 #1640) -#1645 := (>= #1644 0::int) -#75 := (not #74) -#2755 := (or #75 #1645 #2754) -#3926 := (forall (vars (?x38 T2)) (:pat #3879 #3886 #3925) #2755) -#3931 := (not #3926) -#2214 := (= uf_11 ?x37!5) -#1649 := (+ uf_9 #1640) -#1650 := (<= #1649 0::int) -#3934 := (or #1650 #2214 #3931) -#3937 := (not #3934) -#4220 := (or #3937 #4217) -#4223 := (not #4220) -#86 := (uf_12 #10) -#955 := (* -1::int #86) -#982 := (+ #955 #91) -#983 := (+ #66 #982) -#980 := (>= #983 0::int) -#2746 := (or #75 #969 #980) -#3917 := (forall (vars (?x33 T2) (?x34 T2)) (:pat #3916) #2746) -#3922 := (not #3917) -#4226 := (or #3922 #4223) -#4229 := (not #4226) -decl ?x34!3 :: T2 -#1606 := ?x34!3 -#1613 := (uf_12 ?x34!3) -decl ?x33!4 :: T2 -#1607 := ?x33!4 -#1610 := (uf_12 ?x33!4) -#1611 := (* -1::int #1610) -#2201 := (+ #1611 #1613) -#1608 := (uf_1 ?x34!3 ?x33!4) -#1609 := (uf_10 #1608) -#2202 := (+ #1609 #2201) -#2205 := (>= #2202 0::int) -#1620 := (up_13 ?x34!3) -#2709 := (not #1620) -#1616 := (* -1::int #1609) -#1617 := (+ uf_9 #1616) -#1618 := (<= #1617 0::int) -#2724 := (or #1618 #2709 #2205) -#2729 := (not #2724) -#4232 := (or #2729 #4229) -#4235 := (not #4232) -#84 := (up_13 #10) -#3907 := (pattern #74 #84) -#956 := (+ #66 #955) -#954 := (>= #956 0::int) -#1898 := (not #84) -#2701 := (or #74 #1898 #954) -#3908 := (forall (vars (?x29 T2) (?x30 T2)) (:pat #3907) #2701) -#3913 := (not #3908) -#4238 := (or #3913 #4235) -#4241 := (not #4238) -decl ?x30!1 :: T2 -#1581 := ?x30!1 -#1585 := (uf_12 ?x30!1) -#2182 := (* -1::int #1585) -decl ?x29!2 :: T2 -#1582 := ?x29!2 -#1583 := (uf_12 ?x29!2) -#2183 := (+ #1583 #2182) -#2184 := (<= #2183 0::int) -#1589 := (up_13 ?x30!1) -#1588 := (up_13 ?x29!2) -#1597 := (not #1588) -#1948 := (or #1597 #1589 #2184) -#2022 := (not #1948) -#4244 := (or #2022 #4241) -#4247 := (not #4244) -#945 := (>= #66 0::int) -#3899 := (forall (vars (?x27 T2)) (:pat #3886) #945) -#3904 := (not #3899) -#4250 := (or #3904 #4247) -#4253 := (not #4250) -decl ?x27!0 :: T2 -#1566 := ?x27!0 -#1567 := (uf_12 ?x27!0) -#1568 := (>= #1567 0::int) -#1569 := (not #1568) -#4256 := (or #1569 #4253) -#4259 := (not #4256) -#80 := (uf_12 uf_11) -#81 := (= #80 0::int) -#940 := (not #81) -#4262 := (or #940 #4259) -#4265 := (not #4262) -#4992 := [hypothesis]: #940 -#67 := (= #66 0::int) -#70 := (not #65) -#921 := (or #70 #67) -#3893 := (forall (vars (?x24 T2)) (:pat #3886) #921) -#924 := (forall (vars (?x24 T2)) #921) -#3896 := (iff #924 #3893) -#3894 := (iff #921 #921) -#3895 := [refl]: #3894 -#3897 := [quant-intro #3895]: #3896 -#1521 := (~ #924 #924) -#1560 := (~ #921 #921) -#1561 := [refl]: #1560 -#1522 := [nnf-pos #1561]: #1521 -#397 := (= uf_9 #66) -#403 := (or #65 #397) -#408 := (forall (vars (?x25 T2)) #403) -#76 := (forall (vars (?x26 T2)) #75) -#930 := (and #76 #408 #924) -#1385 := (= #1363 0::int) -#1388 := (not #1336) -#1397 := (and #216 #1388 #1385) -#1402 := (exists (vars (?x76 T2)) #1397) -#1374 := (+ uf_9 #1248) -#1375 := (<= #1374 0::int) -#1376 := (not #1375) -#1379 := (and #70 #1376) -#1382 := (not #1379) -#1405 := (or #1382 #1402) -#1408 := (forall (vars (?x75 T2)) #1405) -#970 := (not #969) -#1353 := (and #216 #970) -#1358 := (not #1353) -#1365 := (or #1358 #1361) -#1368 := (forall (vars (?x71 T2) (?x72 T2)) #1365) -#1371 := (not #1368) -#1411 := (or #1371 #1408) -#1414 := (and #1368 #1411) -#225 := (and #223 #224) -#711 := (not #225) -#1341 := (or #711 #1336) -#1344 := (forall (vars (?x67 T2) (?x68 T2)) #1341) -#1347 := (not #1344) -#1417 := (or #1347 #1414) -#1420 := (and #1344 #1417) -#1330 := (forall (vars (?x65 T2)) #1327) -#1333 := (not #1330) -#1423 := (or #1333 #1420) -#1426 := (and #1330 #1423) -#1429 := (or #1324 #1426) -#1432 := (and #220 #1429) -#705 := (forall (vars (?x63 T2)) #700) -#814 := (not #705) -#1435 := (or #814 #1432) -#1438 := (and #705 #1435) -#1316 := (forall (vars (?x61 T2)) #1312) -#1319 := (not #1316) -#1441 := (or #1319 #1438) -#1444 := (and #1316 #1441) -#1283 := (not #1282) -#1278 := (forall (vars (?x58 T2)) #1275) -#1239 := (not #1238) -#1232 := (not #1231) -#1242 := (and #1232 #1239) -#1263 := (or #658 #1242) -#1268 := (forall (vars (?x60 T2)) #1263) -#1245 := (not #1242) -#1254 := (or #1245 #1251) -#1257 := (forall (vars (?x59 T2)) #1254) -#1057 := (not #1056) -#1132 := (and #115 #1057) -#1135 := (exists (vars (?x48 T2)) #1132) -#184 := (not #183) -#1304 := (and #184 #192 #1135 #1257 #1268 #1278 #1283) -#1309 := (not #1304) -#1447 := (or #1309 #1444) -#1155 := (not #1154) -#1189 := (and #970 #1155) -#1192 := (not #1189) -#1198 := (or #1192 #1195) -#1201 := (forall (vars (?x53 T2) (?x54 T2)) #1198) -#1204 := (not #1201) -#1212 := (or #176 #1204) -#1217 := (and #1201 #1212) -#1170 := (= #1172 0::int) -#1164 := (>= #1166 0::int) -#1167 := (not #1164) -#1174 := (and #1167 #1170) -#1177 := (exists (vars (?x50 T2)) #1174) -#1158 := (and #70 #1155) -#1161 := (not #1158) -#1180 := (or #1161 #1177) -#1183 := (forall (vars (?x49 T2)) #1180) -#1186 := (not #1183) -#1220 := (or #1186 #1217) -#1223 := (and #1183 #1220) -#1138 := (not #1135) -#1144 := (and #149 #154 #530 #533 #1138) -#1149 := (not #1144) -#1226 := (or #1149 #1223) -#1450 := (and #1226 #1447) -#1104 := (forall (vars (?x41 T2)) #1101) -#117 := (and #115 #116) -#456 := (not #117) -#1095 := (or #456 #1069) -#1098 := (forall (vars (?x42 T2) (?x43 T2)) #1095) -#1070 := (not #1069) -#1066 := (= #1047 0::int) -#1079 := (and #114 #1066 #1070) -#1084 := (exists (vars (?x47 T2)) #1079) -#1060 := (and #70 #1057) -#1063 := (not #1060) -#1087 := (or #1063 #1084) -#1090 := (forall (vars (?x46 T2)) #1087) -#1034 := (and #114 #970) -#1039 := (not #1034) -#1048 := (or #1039 #1043) -#1051 := (forall (vars (?x44 T2) (?x45 T2)) #1048) -#1005 := (= #983 0::int) -#1008 := (not #954) -#1017 := (and #74 #1008 #1005) -#1022 := (exists (vars (?x38 T2)) #1017) -#996 := (not #995) -#999 := (and #70 #996) -#1002 := (not #999) -#1025 := (or #1002 #1022) -#1028 := (forall (vars (?x37 T2)) #1025) -#1124 := (and #109 #1028 #1051 #1090 #1098 #1104) -#1129 := (not #1124) -#1453 := (or #1129 #1450) -#1456 := (and #1028 #1453) -#973 := (and #74 #970) -#976 := (not #973) -#984 := (or #976 #980) -#987 := (forall (vars (?x33 T2) (?x34 T2)) #984) -#990 := (not #987) -#1459 := (or #990 #1456) -#1462 := (and #987 #1459) -#85 := (and #75 #84) -#432 := (not #85) -#958 := (or #432 #954) -#961 := (forall (vars (?x29 T2) (?x30 T2)) #958) -#964 := (not #961) -#1465 := (or #964 #1462) -#1468 := (and #961 #1465) -#946 := (forall (vars (?x27 T2)) #945) -#949 := (not #946) -#1471 := (or #949 #1468) -#1474 := (and #946 #1471) -#1477 := (or #940 #1474) -#1480 := (and #81 #1477) -#935 := (not #930) -#1483 := (or #935 #1480) -#1486 := (not #1483) -#231 := (+ #199 #91) -#238 := (= #226 #231) -#239 := (and #216 #238) -#237 := (< #199 #226) -#240 := (and #237 #239) -#241 := (exists (vars (?x76 T2)) #240) -#235 := (< #199 uf_9) -#236 := (and #70 #235) -#242 := (implies #236 #241) -#243 := (forall (vars (?x75 T2)) #242) -#232 := (<= #226 #231) -#92 := (< #91 uf_9) -#230 := (and #216 #92) -#233 := (implies #230 #232) -#234 := (forall (vars (?x71 T2) (?x72 T2)) #233) -#244 := (implies #234 #243) -#245 := (and #234 #244) -#227 := (<= #226 #199) -#228 := (implies #225 #227) -#229 := (forall (vars (?x67 T2) (?x68 T2)) #228) -#246 := (implies #229 #245) -#247 := (and #229 #246) -#221 := (<= 0::int #199) -#222 := (forall (vars (?x65 T2)) #221) -#248 := (implies #222 #247) -#249 := (and #222 #248) -#250 := (implies #220 #249) -#251 := (and #220 #250) -#204 := (= #199 #110) -#217 := (implies #216 #204) -#218 := (forall (vars (?x63 T2)) #217) -#252 := (implies #218 #251) -#253 := (and #218 #252) -#214 := (<= #199 #110) -#215 := (forall (vars (?x61 T2)) #214) -#254 := (implies #215 #253) -#255 := (and #215 #254) -#196 := (+ #185 #194) -#197 := (< #196 #110) -#195 := (< #194 uf_9) -#198 := (and #195 #197) -#203 := (not #198) -#205 := (implies #203 #204) -#206 := (forall (vars (?x60 T2)) #205) -#200 := (= #199 #196) -#201 := (implies #198 #200) -#202 := (forall (vars (?x59 T2)) #201) -#207 := (and #202 #206) -#208 := (and #192 #207) -#187 := (<= #185 #110) -#188 := (implies #115 #187) -#189 := (forall (vars (?x58 T2)) #188) -#209 := (and #189 #208) -#186 := (< #185 uf_9) -#210 := (and #186 #209) -#211 := (and #184 #210) -#127 := (< #110 uf_9) -#142 := (and #115 #127) -#143 := (exists (vars (?x48 T2)) #142) -#212 := (and #143 #211) -#213 := (and true #212) -#256 := (implies #213 #255) -#165 := (+ #160 #91) -#172 := (<= #163 #165) -#161 := (< #160 uf_9) -#171 := (and #161 #92) -#173 := (implies #171 #172) -#174 := (forall (vars (?x53 T2) (?x54 T2)) #173) -#177 := (implies #174 #176) -#178 := (and #174 #177) -#166 := (= #163 #165) -#164 := (< #160 #163) -#167 := (and #164 #166) -#168 := (exists (vars (?x50 T2)) #167) -#162 := (and #70 #161) -#169 := (implies #162 #168) -#170 := (forall (vars (?x49 T2)) #169) -#179 := (implies #170 #178) -#180 := (and #170 #179) -#151 := (= uf_19 uf_14) -#155 := (and #151 #154) -#156 := (and #149 #155) -#146 := (= uf_16 uf_15) -#157 := (and #146 #156) -#144 := (not #143) -#158 := (and #144 #157) -#159 := (and true #158) -#181 := (implies #159 #180) -#257 := (and #181 #256) -#123 := (+ #110 #91) -#130 := (= #118 #123) -#131 := (and #114 #130) -#129 := (< #110 #118) -#132 := (and #129 #131) -#133 := (exists (vars (?x47 T2)) #132) -#128 := (and #70 #127) -#134 := (implies #128 #133) -#135 := (forall (vars (?x46 T2)) #134) -#124 := (<= #118 #123) -#122 := (and #114 #92) -#125 := (implies #122 #124) -#126 := (forall (vars (?x44 T2) (?x45 T2)) #125) -#136 := (and #126 #135) -#119 := (<= #118 #110) -#120 := (implies #117 #119) -#121 := (forall (vars (?x42 T2) (?x43 T2)) #120) -#137 := (and #121 #136) -#111 := (<= 0::int #110) -#112 := (forall (vars (?x41 T2)) #111) -#138 := (and #112 #137) -#139 := (and #109 #138) -#140 := (and true #139) -#94 := (+ #66 #91) -#101 := (= #86 #94) -#102 := (and #74 #101) -#100 := (< #66 #86) -#103 := (and #100 #102) -#104 := (exists (vars (?x38 T2)) #103) -#98 := (< #66 uf_9) -#99 := (and #70 #98) -#105 := (implies #99 #104) -#106 := (forall (vars (?x37 T2)) #105) -#141 := (and #106 #140) -#258 := (implies #141 #257) -#259 := (and #106 #258) -#95 := (<= #86 #94) -#93 := (and #74 #92) -#96 := (implies #93 #95) -#97 := (forall (vars (?x33 T2) (?x34 T2)) #96) -#260 := (implies #97 #259) -#261 := (and #97 #260) -#87 := (<= #86 #66) -#88 := (implies #85 #87) -#89 := (forall (vars (?x29 T2) (?x30 T2)) #88) -#262 := (implies #89 #261) -#263 := (and #89 #262) -#82 := (<= 0::int #66) -#83 := (forall (vars (?x27 T2)) #82) -#264 := (implies #83 #263) -#265 := (and #83 #264) -#266 := (implies #81 #265) -#267 := (and #81 #266) -#71 := (= #66 uf_9) -#72 := (implies #70 #71) -#73 := (forall (vars (?x25 T2)) #72) -#77 := (and #73 #76) -#68 := (implies #65 #67) -#69 := (forall (vars (?x24 T2)) #68) -#78 := (and #69 #77) -#79 := (and true #78) -#268 := (implies #79 #267) -#269 := (not #268) -#1489 := (iff #269 #1486) -#721 := (+ #91 #199) -#739 := (= #226 #721) -#742 := (and #216 #739) -#745 := (and #237 #742) -#748 := (exists (vars (?x76 T2)) #745) -#754 := (not #236) -#755 := (or #754 #748) -#760 := (forall (vars (?x75 T2)) #755) -#724 := (<= #226 #721) -#718 := (and #92 #216) -#730 := (not #718) -#731 := (or #730 #724) -#736 := (forall (vars (?x71 T2) (?x72 T2)) #731) -#766 := (not #736) -#767 := (or #766 #760) -#772 := (and #736 #767) -#712 := (or #711 #227) -#715 := (forall (vars (?x67 T2) (?x68 T2)) #712) -#778 := (not #715) -#779 := (or #778 #772) -#784 := (and #715 #779) -#790 := (not #222) -#791 := (or #790 #784) -#796 := (and #222 #791) -#708 := (= 0::int #219) -#802 := (not #708) -#803 := (or #802 #796) -#808 := (and #708 #803) -#815 := (or #814 #808) -#820 := (and #705 #815) -#826 := (not #215) -#827 := (or #826 #820) -#832 := (and #215 #827) -#664 := (or #198 #658) -#669 := (forall (vars (?x60 T2)) #664) -#644 := (= #196 #199) -#650 := (or #203 #644) -#655 := (forall (vars (?x59 T2)) #650) -#672 := (and #655 #669) -#675 := (and #192 #672) -#638 := (or #114 #187) -#641 := (forall (vars (?x58 T2)) #638) -#678 := (and #641 #675) -#681 := (and #186 #678) -#684 := (and #184 #681) -#687 := (and #143 #684) -#838 := (not #687) -#839 := (or #838 #832) -#602 := (= 0::int #175) -#560 := (+ #91 #160) -#587 := (<= #163 #560) -#584 := (and #92 #161) -#593 := (not #584) -#594 := (or #593 #587) -#599 := (forall (vars (?x53 T2) (?x54 T2)) #594) -#608 := (not #599) -#609 := (or #608 #602) -#614 := (and #599 #609) -#563 := (= #163 #560) -#566 := (and #164 #563) -#569 := (exists (vars (?x50 T2)) #566) -#575 := (not #162) -#576 := (or #575 #569) -#581 := (forall (vars (?x49 T2)) #576) -#620 := (not #581) -#621 := (or #620 #614) -#626 := (and #581 #621) -#539 := (and #154 #533) -#544 := (and #149 #539) -#547 := (and #530 #544) -#550 := (and #144 #547) -#632 := (not #550) -#633 := (or #632 #626) -#844 := (and #633 #839) -#466 := (+ #91 #110) -#484 := (= #118 #466) -#487 := (and #114 #484) -#490 := (and #129 #487) -#493 := (exists (vars (?x47 T2)) #490) -#499 := (not #128) -#500 := (or #499 #493) -#505 := (forall (vars (?x46 T2)) #500) -#469 := (<= #118 #466) -#463 := (and #92 #114) -#475 := (not #463) -#476 := (or #475 #469) -#481 := (forall (vars (?x44 T2) (?x45 T2)) #476) -#508 := (and #481 #505) -#457 := (or #456 #119) -#460 := (forall (vars (?x42 T2) (?x43 T2)) #457) -#511 := (and #460 #508) -#514 := (and #112 #511) -#453 := (= 0::int #108) -#517 := (and #453 #514) -#446 := (not #99) -#447 := (or #446 #104) -#450 := (forall (vars (?x37 T2)) #447) -#527 := (and #450 #517) -#850 := (not #527) -#851 := (or #850 #844) -#856 := (and #450 #851) -#439 := (not #93) -#440 := (or #439 #95) -#443 := (forall (vars (?x33 T2) (?x34 T2)) #440) -#862 := (not #443) -#863 := (or #862 #856) -#868 := (and #443 #863) -#433 := (or #432 #87) -#436 := (forall (vars (?x29 T2) (?x30 T2)) #433) -#874 := (not #436) -#875 := (or #874 #868) -#880 := (and #436 #875) -#886 := (not #83) -#887 := (or #886 #880) -#892 := (and #83 #887) -#429 := (= 0::int #80) -#898 := (not #429) -#899 := (or #898 #892) -#904 := (and #429 #899) -#414 := (and #76 #408) -#383 := (= 0::int #66) -#389 := (or #70 #383) -#394 := (forall (vars (?x24 T2)) #389) -#419 := (and #394 #414) -#910 := (not #419) -#911 := (or #910 #904) -#916 := (not #911) -#1487 := (iff #916 #1486) -#1484 := (iff #911 #1483) -#1481 := (iff #904 #1480) -#1478 := (iff #899 #1477) -#1475 := (iff #892 #1474) -#1472 := (iff #887 #1471) -#1469 := (iff #880 #1468) -#1466 := (iff #875 #1465) -#1463 := (iff #868 #1462) -#1460 := (iff #863 #1459) -#1457 := (iff #856 #1456) -#1454 := (iff #851 #1453) -#1451 := (iff #844 #1450) -#1448 := (iff #839 #1447) -#1445 := (iff #832 #1444) -#1442 := (iff #827 #1441) -#1439 := (iff #820 #1438) -#1436 := (iff #815 #1435) -#1433 := (iff #808 #1432) -#1430 := (iff #803 #1429) -#1427 := (iff #796 #1426) -#1424 := (iff #791 #1423) -#1421 := (iff #784 #1420) -#1418 := (iff #779 #1417) -#1415 := (iff #772 #1414) -#1412 := (iff #767 #1411) -#1409 := (iff #760 #1408) -#1406 := (iff #755 #1405) -#1403 := (iff #748 #1402) -#1400 := (iff #745 #1397) -#1391 := (and #216 #1385) -#1394 := (and #1388 #1391) -#1398 := (iff #1394 #1397) -#1399 := [rewrite]: #1398 -#1395 := (iff #745 #1394) -#1392 := (iff #742 #1391) -#1386 := (iff #739 #1385) -#1387 := [rewrite]: #1386 -#1393 := [monotonicity #1387]: #1392 -#1389 := (iff #237 #1388) -#1390 := [rewrite]: #1389 -#1396 := [monotonicity #1390 #1393]: #1395 -#1401 := [trans #1396 #1399]: #1400 -#1404 := [quant-intro #1401]: #1403 -#1383 := (iff #754 #1382) -#1380 := (iff #236 #1379) -#1377 := (iff #235 #1376) -#1378 := [rewrite]: #1377 -#1381 := [monotonicity #1378]: #1380 -#1384 := [monotonicity #1381]: #1383 -#1407 := [monotonicity #1384 #1404]: #1406 -#1410 := [quant-intro #1407]: #1409 -#1372 := (iff #766 #1371) -#1369 := (iff #736 #1368) -#1366 := (iff #731 #1365) -#1362 := (iff #724 #1361) -#1364 := [rewrite]: #1362 -#1359 := (iff #730 #1358) -#1356 := (iff #718 #1353) -#1350 := (and #970 #216) -#1354 := (iff #1350 #1353) -#1355 := [rewrite]: #1354 -#1351 := (iff #718 #1350) -#971 := (iff #92 #970) -#972 := [rewrite]: #971 -#1352 := [monotonicity #972]: #1351 -#1357 := [trans #1352 #1355]: #1356 -#1360 := [monotonicity #1357]: #1359 -#1367 := [monotonicity #1360 #1364]: #1366 -#1370 := [quant-intro #1367]: #1369 -#1373 := [monotonicity #1370]: #1372 -#1413 := [monotonicity #1373 #1410]: #1412 -#1416 := [monotonicity #1370 #1413]: #1415 -#1348 := (iff #778 #1347) -#1345 := (iff #715 #1344) -#1342 := (iff #712 #1341) -#1339 := (iff #227 #1336) -#1340 := [rewrite]: #1339 -#1343 := [monotonicity #1340]: #1342 -#1346 := [quant-intro #1343]: #1345 -#1349 := [monotonicity #1346]: #1348 -#1419 := [monotonicity #1349 #1416]: #1418 -#1422 := [monotonicity #1346 #1419]: #1421 -#1334 := (iff #790 #1333) -#1331 := (iff #222 #1330) -#1328 := (iff #221 #1327) -#1329 := [rewrite]: #1328 -#1332 := [quant-intro #1329]: #1331 -#1335 := [monotonicity #1332]: #1334 -#1425 := [monotonicity #1335 #1422]: #1424 -#1428 := [monotonicity #1332 #1425]: #1427 -#1325 := (iff #802 #1324) -#1322 := (iff #708 #220) -#1323 := [rewrite]: #1322 -#1326 := [monotonicity #1323]: #1325 -#1431 := [monotonicity #1326 #1428]: #1430 -#1434 := [monotonicity #1323 #1431]: #1433 -#1437 := [monotonicity #1434]: #1436 -#1440 := [monotonicity #1437]: #1439 -#1320 := (iff #826 #1319) -#1317 := (iff #215 #1316) -#1314 := (iff #214 #1312) -#1315 := [rewrite]: #1314 -#1318 := [quant-intro #1315]: #1317 -#1321 := [monotonicity #1318]: #1320 -#1443 := [monotonicity #1321 #1440]: #1442 -#1446 := [monotonicity #1318 #1443]: #1445 -#1310 := (iff #838 #1309) -#1307 := (iff #687 #1304) -#1286 := (and #1257 #1268) -#1289 := (and #192 #1286) -#1292 := (and #1278 #1289) -#1295 := (and #1283 #1292) -#1298 := (and #184 #1295) -#1301 := (and #1135 #1298) -#1305 := (iff #1301 #1304) -#1306 := [rewrite]: #1305 -#1302 := (iff #687 #1301) -#1299 := (iff #684 #1298) -#1296 := (iff #681 #1295) -#1293 := (iff #678 #1292) -#1290 := (iff #675 #1289) -#1287 := (iff #672 #1286) -#1269 := (iff #669 #1268) -#1266 := (iff #664 #1263) -#1260 := (or #1242 #658) -#1264 := (iff #1260 #1263) -#1265 := [rewrite]: #1264 -#1261 := (iff #664 #1260) -#1243 := (iff #198 #1242) -#1240 := (iff #197 #1239) -#1241 := [rewrite]: #1240 -#1233 := (iff #195 #1232) -#1234 := [rewrite]: #1233 -#1244 := [monotonicity #1234 #1241]: #1243 -#1262 := [monotonicity #1244]: #1261 -#1267 := [trans #1262 #1265]: #1266 -#1270 := [quant-intro #1267]: #1269 -#1258 := (iff #655 #1257) -#1255 := (iff #650 #1254) -#1252 := (iff #644 #1251) -#1253 := [rewrite]: #1252 -#1246 := (iff #203 #1245) -#1247 := [monotonicity #1244]: #1246 -#1256 := [monotonicity #1247 #1253]: #1255 -#1259 := [quant-intro #1256]: #1258 -#1288 := [monotonicity #1259 #1270]: #1287 -#1291 := [monotonicity #1288]: #1290 -#1279 := (iff #641 #1278) -#1276 := (iff #638 #1275) -#1273 := (iff #187 #1271) -#1274 := [rewrite]: #1273 -#1277 := [monotonicity #1274]: #1276 -#1280 := [quant-intro #1277]: #1279 -#1294 := [monotonicity #1280 #1291]: #1293 -#1284 := (iff #186 #1283) -#1285 := [rewrite]: #1284 -#1297 := [monotonicity #1285 #1294]: #1296 -#1300 := [monotonicity #1297]: #1299 -#1136 := (iff #143 #1135) -#1133 := (iff #142 #1132) -#1058 := (iff #127 #1057) -#1059 := [rewrite]: #1058 -#1134 := [monotonicity #1059]: #1133 -#1137 := [quant-intro #1134]: #1136 -#1303 := [monotonicity #1137 #1300]: #1302 -#1308 := [trans #1303 #1306]: #1307 -#1311 := [monotonicity #1308]: #1310 -#1449 := [monotonicity #1311 #1446]: #1448 -#1227 := (iff #633 #1226) -#1224 := (iff #626 #1223) -#1221 := (iff #621 #1220) -#1218 := (iff #614 #1217) -#1215 := (iff #609 #1212) -#1209 := (or #1204 #176) -#1213 := (iff #1209 #1212) -#1214 := [rewrite]: #1213 -#1210 := (iff #609 #1209) -#1207 := (iff #602 #176) -#1208 := [rewrite]: #1207 -#1205 := (iff #608 #1204) -#1202 := (iff #599 #1201) -#1199 := (iff #594 #1198) -#1196 := (iff #587 #1195) -#1197 := [rewrite]: #1196 -#1193 := (iff #593 #1192) -#1190 := (iff #584 #1189) -#1156 := (iff #161 #1155) -#1157 := [rewrite]: #1156 -#1191 := [monotonicity #972 #1157]: #1190 -#1194 := [monotonicity #1191]: #1193 -#1200 := [monotonicity #1194 #1197]: #1199 -#1203 := [quant-intro #1200]: #1202 -#1206 := [monotonicity #1203]: #1205 -#1211 := [monotonicity #1206 #1208]: #1210 -#1216 := [trans #1211 #1214]: #1215 -#1219 := [monotonicity #1203 #1216]: #1218 -#1187 := (iff #620 #1186) -#1184 := (iff #581 #1183) -#1181 := (iff #576 #1180) -#1178 := (iff #569 #1177) -#1175 := (iff #566 #1174) -#1171 := (iff #563 #1170) -#1173 := [rewrite]: #1171 -#1168 := (iff #164 #1167) -#1169 := [rewrite]: #1168 -#1176 := [monotonicity #1169 #1173]: #1175 -#1179 := [quant-intro #1176]: #1178 -#1162 := (iff #575 #1161) -#1159 := (iff #162 #1158) -#1160 := [monotonicity #1157]: #1159 -#1163 := [monotonicity #1160]: #1162 -#1182 := [monotonicity #1163 #1179]: #1181 -#1185 := [quant-intro #1182]: #1184 -#1188 := [monotonicity #1185]: #1187 -#1222 := [monotonicity #1188 #1219]: #1221 -#1225 := [monotonicity #1185 #1222]: #1224 -#1150 := (iff #632 #1149) -#1147 := (iff #550 #1144) -#1141 := (and #1138 #547) -#1145 := (iff #1141 #1144) -#1146 := [rewrite]: #1145 -#1142 := (iff #550 #1141) -#1139 := (iff #144 #1138) -#1140 := [monotonicity #1137]: #1139 -#1143 := [monotonicity #1140]: #1142 -#1148 := [trans #1143 #1146]: #1147 -#1151 := [monotonicity #1148]: #1150 -#1228 := [monotonicity #1151 #1225]: #1227 -#1452 := [monotonicity #1228 #1449]: #1451 -#1130 := (iff #850 #1129) -#1127 := (iff #527 #1124) -#1109 := (and #1051 #1090) -#1112 := (and #1098 #1109) -#1115 := (and #1104 #1112) -#1118 := (and #109 #1115) -#1121 := (and #1028 #1118) -#1125 := (iff #1121 #1124) -#1126 := [rewrite]: #1125 -#1122 := (iff #527 #1121) -#1119 := (iff #517 #1118) -#1116 := (iff #514 #1115) -#1113 := (iff #511 #1112) -#1110 := (iff #508 #1109) -#1091 := (iff #505 #1090) -#1088 := (iff #500 #1087) -#1085 := (iff #493 #1084) -#1082 := (iff #490 #1079) -#1073 := (and #114 #1066) -#1076 := (and #1070 #1073) -#1080 := (iff #1076 #1079) -#1081 := [rewrite]: #1080 -#1077 := (iff #490 #1076) -#1074 := (iff #487 #1073) -#1067 := (iff #484 #1066) -#1068 := [rewrite]: #1067 -#1075 := [monotonicity #1068]: #1074 -#1071 := (iff #129 #1070) -#1072 := [rewrite]: #1071 -#1078 := [monotonicity #1072 #1075]: #1077 -#1083 := [trans #1078 #1081]: #1082 -#1086 := [quant-intro #1083]: #1085 -#1064 := (iff #499 #1063) -#1061 := (iff #128 #1060) -#1062 := [monotonicity #1059]: #1061 -#1065 := [monotonicity #1062]: #1064 -#1089 := [monotonicity #1065 #1086]: #1088 -#1092 := [quant-intro #1089]: #1091 -#1052 := (iff #481 #1051) -#1049 := (iff #476 #1048) -#1042 := (iff #469 #1043) -#1044 := [rewrite]: #1042 -#1040 := (iff #475 #1039) -#1037 := (iff #463 #1034) -#1031 := (and #970 #114) -#1035 := (iff #1031 #1034) -#1036 := [rewrite]: #1035 -#1032 := (iff #463 #1031) -#1033 := [monotonicity #972]: #1032 -#1038 := [trans #1033 #1036]: #1037 -#1041 := [monotonicity #1038]: #1040 -#1050 := [monotonicity #1041 #1044]: #1049 -#1053 := [quant-intro #1050]: #1052 -#1111 := [monotonicity #1053 #1092]: #1110 -#1099 := (iff #460 #1098) -#1096 := (iff #457 #1095) -#1093 := (iff #119 #1069) -#1094 := [rewrite]: #1093 -#1097 := [monotonicity #1094]: #1096 -#1100 := [quant-intro #1097]: #1099 -#1114 := [monotonicity #1100 #1111]: #1113 -#1105 := (iff #112 #1104) -#1102 := (iff #111 #1101) -#1103 := [rewrite]: #1102 -#1106 := [quant-intro #1103]: #1105 -#1117 := [monotonicity #1106 #1114]: #1116 -#1107 := (iff #453 #109) -#1108 := [rewrite]: #1107 -#1120 := [monotonicity #1108 #1117]: #1119 -#1029 := (iff #450 #1028) -#1026 := (iff #447 #1025) -#1023 := (iff #104 #1022) -#1020 := (iff #103 #1017) -#1011 := (and #74 #1005) -#1014 := (and #1008 #1011) -#1018 := (iff #1014 #1017) -#1019 := [rewrite]: #1018 -#1015 := (iff #103 #1014) -#1012 := (iff #102 #1011) -#1006 := (iff #101 #1005) -#1007 := [rewrite]: #1006 -#1013 := [monotonicity #1007]: #1012 -#1009 := (iff #100 #1008) -#1010 := [rewrite]: #1009 -#1016 := [monotonicity #1010 #1013]: #1015 -#1021 := [trans #1016 #1019]: #1020 -#1024 := [quant-intro #1021]: #1023 -#1003 := (iff #446 #1002) -#1000 := (iff #99 #999) -#997 := (iff #98 #996) -#998 := [rewrite]: #997 -#1001 := [monotonicity #998]: #1000 -#1004 := [monotonicity #1001]: #1003 -#1027 := [monotonicity #1004 #1024]: #1026 -#1030 := [quant-intro #1027]: #1029 -#1123 := [monotonicity #1030 #1120]: #1122 -#1128 := [trans #1123 #1126]: #1127 -#1131 := [monotonicity #1128]: #1130 -#1455 := [monotonicity #1131 #1452]: #1454 -#1458 := [monotonicity #1030 #1455]: #1457 -#991 := (iff #862 #990) -#988 := (iff #443 #987) -#985 := (iff #440 #984) -#979 := (iff #95 #980) -#981 := [rewrite]: #979 -#977 := (iff #439 #976) -#974 := (iff #93 #973) -#975 := [monotonicity #972]: #974 -#978 := [monotonicity #975]: #977 -#986 := [monotonicity #978 #981]: #985 -#989 := [quant-intro #986]: #988 -#992 := [monotonicity #989]: #991 -#1461 := [monotonicity #992 #1458]: #1460 -#1464 := [monotonicity #989 #1461]: #1463 -#965 := (iff #874 #964) -#962 := (iff #436 #961) -#959 := (iff #433 #958) -#953 := (iff #87 #954) -#957 := [rewrite]: #953 -#960 := [monotonicity #957]: #959 -#963 := [quant-intro #960]: #962 -#966 := [monotonicity #963]: #965 -#1467 := [monotonicity #966 #1464]: #1466 -#1470 := [monotonicity #963 #1467]: #1469 -#950 := (iff #886 #949) -#947 := (iff #83 #946) -#943 := (iff #82 #945) -#944 := [rewrite]: #943 -#948 := [quant-intro #944]: #947 -#951 := [monotonicity #948]: #950 -#1473 := [monotonicity #951 #1470]: #1472 -#1476 := [monotonicity #948 #1473]: #1475 -#941 := (iff #898 #940) -#938 := (iff #429 #81) -#939 := [rewrite]: #938 -#942 := [monotonicity #939]: #941 -#1479 := [monotonicity #942 #1476]: #1478 -#1482 := [monotonicity #939 #1479]: #1481 -#936 := (iff #910 #935) -#933 := (iff #419 #930) -#927 := (and #924 #414) -#931 := (iff #927 #930) -#932 := [rewrite]: #931 -#928 := (iff #419 #927) -#925 := (iff #394 #924) -#922 := (iff #389 #921) -#919 := (iff #383 #67) -#920 := [rewrite]: #919 -#923 := [monotonicity #920]: #922 -#926 := [quant-intro #923]: #925 -#929 := [monotonicity #926]: #928 -#934 := [trans #929 #932]: #933 -#937 := [monotonicity #934]: #936 -#1485 := [monotonicity #937 #1482]: #1484 -#1488 := [monotonicity #1485]: #1487 -#917 := (iff #269 #916) -#914 := (iff #268 #911) -#907 := (implies #419 #904) -#912 := (iff #907 #911) -#913 := [rewrite]: #912 -#908 := (iff #268 #907) -#905 := (iff #267 #904) -#902 := (iff #266 #899) -#895 := (implies #429 #892) -#900 := (iff #895 #899) -#901 := [rewrite]: #900 -#896 := (iff #266 #895) -#893 := (iff #265 #892) -#890 := (iff #264 #887) -#883 := (implies #83 #880) -#888 := (iff #883 #887) -#889 := [rewrite]: #888 -#884 := (iff #264 #883) -#881 := (iff #263 #880) -#878 := (iff #262 #875) -#871 := (implies #436 #868) -#876 := (iff #871 #875) -#877 := [rewrite]: #876 -#872 := (iff #262 #871) -#869 := (iff #261 #868) -#866 := (iff #260 #863) -#859 := (implies #443 #856) -#864 := (iff #859 #863) -#865 := [rewrite]: #864 -#860 := (iff #260 #859) -#857 := (iff #259 #856) -#854 := (iff #258 #851) -#847 := (implies #527 #844) -#852 := (iff #847 #851) -#853 := [rewrite]: #852 -#848 := (iff #258 #847) -#845 := (iff #257 #844) -#842 := (iff #256 #839) -#835 := (implies #687 #832) -#840 := (iff #835 #839) -#841 := [rewrite]: #840 -#836 := (iff #256 #835) -#833 := (iff #255 #832) -#830 := (iff #254 #827) -#823 := (implies #215 #820) -#828 := (iff #823 #827) -#829 := [rewrite]: #828 -#824 := (iff #254 #823) -#821 := (iff #253 #820) -#818 := (iff #252 #815) -#811 := (implies #705 #808) -#816 := (iff #811 #815) -#817 := [rewrite]: #816 -#812 := (iff #252 #811) -#809 := (iff #251 #808) -#806 := (iff #250 #803) -#799 := (implies #708 #796) -#804 := (iff #799 #803) -#805 := [rewrite]: #804 -#800 := (iff #250 #799) -#797 := (iff #249 #796) -#794 := (iff #248 #791) -#787 := (implies #222 #784) -#792 := (iff #787 #791) -#793 := [rewrite]: #792 -#788 := (iff #248 #787) -#785 := (iff #247 #784) -#782 := (iff #246 #779) -#775 := (implies #715 #772) -#780 := (iff #775 #779) -#781 := [rewrite]: #780 -#776 := (iff #246 #775) -#773 := (iff #245 #772) -#770 := (iff #244 #767) -#763 := (implies #736 #760) -#768 := (iff #763 #767) -#769 := [rewrite]: #768 -#764 := (iff #244 #763) -#761 := (iff #243 #760) -#758 := (iff #242 #755) -#751 := (implies #236 #748) -#756 := (iff #751 #755) -#757 := [rewrite]: #756 -#752 := (iff #242 #751) -#749 := (iff #241 #748) -#746 := (iff #240 #745) -#743 := (iff #239 #742) -#740 := (iff #238 #739) -#722 := (= #231 #721) -#723 := [rewrite]: #722 -#741 := [monotonicity #723]: #740 -#744 := [monotonicity #741]: #743 -#747 := [monotonicity #744]: #746 -#750 := [quant-intro #747]: #749 -#753 := [monotonicity #750]: #752 -#759 := [trans #753 #757]: #758 -#762 := [quant-intro #759]: #761 -#737 := (iff #234 #736) -#734 := (iff #233 #731) -#727 := (implies #718 #724) -#732 := (iff #727 #731) -#733 := [rewrite]: #732 -#728 := (iff #233 #727) -#725 := (iff #232 #724) -#726 := [monotonicity #723]: #725 -#719 := (iff #230 #718) -#720 := [rewrite]: #719 -#729 := [monotonicity #720 #726]: #728 -#735 := [trans #729 #733]: #734 -#738 := [quant-intro #735]: #737 -#765 := [monotonicity #738 #762]: #764 -#771 := [trans #765 #769]: #770 -#774 := [monotonicity #738 #771]: #773 -#716 := (iff #229 #715) -#713 := (iff #228 #712) -#714 := [rewrite]: #713 -#717 := [quant-intro #714]: #716 -#777 := [monotonicity #717 #774]: #776 -#783 := [trans #777 #781]: #782 -#786 := [monotonicity #717 #783]: #785 -#789 := [monotonicity #786]: #788 -#795 := [trans #789 #793]: #794 -#798 := [monotonicity #795]: #797 -#709 := (iff #220 #708) -#710 := [rewrite]: #709 -#801 := [monotonicity #710 #798]: #800 -#807 := [trans #801 #805]: #806 -#810 := [monotonicity #710 #807]: #809 -#706 := (iff #218 #705) -#703 := (iff #217 #700) -#697 := (implies #216 #658) -#701 := (iff #697 #700) -#702 := [rewrite]: #701 -#698 := (iff #217 #697) -#659 := (iff #204 #658) -#660 := [rewrite]: #659 -#699 := [monotonicity #660]: #698 -#704 := [trans #699 #702]: #703 -#707 := [quant-intro #704]: #706 -#813 := [monotonicity #707 #810]: #812 -#819 := [trans #813 #817]: #818 -#822 := [monotonicity #707 #819]: #821 -#825 := [monotonicity #822]: #824 -#831 := [trans #825 #829]: #830 -#834 := [monotonicity #831]: #833 -#695 := (iff #213 #687) -#690 := (and true #687) -#693 := (iff #690 #687) -#694 := [rewrite]: #693 -#691 := (iff #213 #690) -#688 := (iff #212 #687) -#685 := (iff #211 #684) -#682 := (iff #210 #681) -#679 := (iff #209 #678) -#676 := (iff #208 #675) -#673 := (iff #207 #672) -#670 := (iff #206 #669) -#667 := (iff #205 #664) -#661 := (implies #203 #658) -#665 := (iff #661 #664) -#666 := [rewrite]: #665 -#662 := (iff #205 #661) -#663 := [monotonicity #660]: #662 -#668 := [trans #663 #666]: #667 -#671 := [quant-intro #668]: #670 -#656 := (iff #202 #655) -#653 := (iff #201 #650) -#647 := (implies #198 #644) -#651 := (iff #647 #650) -#652 := [rewrite]: #651 -#648 := (iff #201 #647) -#645 := (iff #200 #644) -#646 := [rewrite]: #645 -#649 := [monotonicity #646]: #648 -#654 := [trans #649 #652]: #653 -#657 := [quant-intro #654]: #656 -#674 := [monotonicity #657 #671]: #673 -#677 := [monotonicity #674]: #676 -#642 := (iff #189 #641) -#639 := (iff #188 #638) -#640 := [rewrite]: #639 -#643 := [quant-intro #640]: #642 -#680 := [monotonicity #643 #677]: #679 -#683 := [monotonicity #680]: #682 -#686 := [monotonicity #683]: #685 -#689 := [monotonicity #686]: #688 -#692 := [monotonicity #689]: #691 -#696 := [trans #692 #694]: #695 -#837 := [monotonicity #696 #834]: #836 -#843 := [trans #837 #841]: #842 -#636 := (iff #181 #633) -#629 := (implies #550 #626) -#634 := (iff #629 #633) -#635 := [rewrite]: #634 -#630 := (iff #181 #629) -#627 := (iff #180 #626) -#624 := (iff #179 #621) -#617 := (implies #581 #614) -#622 := (iff #617 #621) -#623 := [rewrite]: #622 -#618 := (iff #179 #617) -#615 := (iff #178 #614) -#612 := (iff #177 #609) -#605 := (implies #599 #602) -#610 := (iff #605 #609) -#611 := [rewrite]: #610 -#606 := (iff #177 #605) -#603 := (iff #176 #602) -#604 := [rewrite]: #603 -#600 := (iff #174 #599) -#597 := (iff #173 #594) -#590 := (implies #584 #587) -#595 := (iff #590 #594) -#596 := [rewrite]: #595 -#591 := (iff #173 #590) -#588 := (iff #172 #587) -#561 := (= #165 #560) -#562 := [rewrite]: #561 -#589 := [monotonicity #562]: #588 -#585 := (iff #171 #584) -#586 := [rewrite]: #585 -#592 := [monotonicity #586 #589]: #591 -#598 := [trans #592 #596]: #597 -#601 := [quant-intro #598]: #600 -#607 := [monotonicity #601 #604]: #606 -#613 := [trans #607 #611]: #612 -#616 := [monotonicity #601 #613]: #615 -#582 := (iff #170 #581) -#579 := (iff #169 #576) -#572 := (implies #162 #569) -#577 := (iff #572 #576) -#578 := [rewrite]: #577 -#573 := (iff #169 #572) -#570 := (iff #168 #569) -#567 := (iff #167 #566) -#564 := (iff #166 #563) -#565 := [monotonicity #562]: #564 -#568 := [monotonicity #565]: #567 -#571 := [quant-intro #568]: #570 -#574 := [monotonicity #571]: #573 -#580 := [trans #574 #578]: #579 -#583 := [quant-intro #580]: #582 -#619 := [monotonicity #583 #616]: #618 -#625 := [trans #619 #623]: #624 -#628 := [monotonicity #583 #625]: #627 -#558 := (iff #159 #550) -#553 := (and true #550) -#556 := (iff #553 #550) -#557 := [rewrite]: #556 -#554 := (iff #159 #553) -#551 := (iff #158 #550) -#548 := (iff #157 #547) -#545 := (iff #156 #544) -#542 := (iff #155 #539) -#536 := (and #533 #154) -#540 := (iff #536 #539) -#541 := [rewrite]: #540 -#537 := (iff #155 #536) -#534 := (iff #151 #533) -#535 := [rewrite]: #534 -#538 := [monotonicity #535]: #537 -#543 := [trans #538 #541]: #542 -#546 := [monotonicity #543]: #545 -#531 := (iff #146 #530) -#532 := [rewrite]: #531 -#549 := [monotonicity #532 #546]: #548 -#552 := [monotonicity #549]: #551 -#555 := [monotonicity #552]: #554 -#559 := [trans #555 #557]: #558 -#631 := [monotonicity #559 #628]: #630 -#637 := [trans #631 #635]: #636 -#846 := [monotonicity #637 #843]: #845 -#528 := (iff #141 #527) -#525 := (iff #140 #517) -#520 := (and true #517) -#523 := (iff #520 #517) -#524 := [rewrite]: #523 -#521 := (iff #140 #520) -#518 := (iff #139 #517) -#515 := (iff #138 #514) -#512 := (iff #137 #511) -#509 := (iff #136 #508) -#506 := (iff #135 #505) -#503 := (iff #134 #500) -#496 := (implies #128 #493) -#501 := (iff #496 #500) -#502 := [rewrite]: #501 -#497 := (iff #134 #496) -#494 := (iff #133 #493) -#491 := (iff #132 #490) -#488 := (iff #131 #487) -#485 := (iff #130 #484) -#467 := (= #123 #466) -#468 := [rewrite]: #467 -#486 := [monotonicity #468]: #485 -#489 := [monotonicity #486]: #488 -#492 := [monotonicity #489]: #491 -#495 := [quant-intro #492]: #494 -#498 := [monotonicity #495]: #497 -#504 := [trans #498 #502]: #503 -#507 := [quant-intro #504]: #506 -#482 := (iff #126 #481) -#479 := (iff #125 #476) -#472 := (implies #463 #469) -#477 := (iff #472 #476) -#478 := [rewrite]: #477 -#473 := (iff #125 #472) -#470 := (iff #124 #469) -#471 := [monotonicity #468]: #470 -#464 := (iff #122 #463) -#465 := [rewrite]: #464 -#474 := [monotonicity #465 #471]: #473 -#480 := [trans #474 #478]: #479 -#483 := [quant-intro #480]: #482 -#510 := [monotonicity #483 #507]: #509 -#461 := (iff #121 #460) -#458 := (iff #120 #457) -#459 := [rewrite]: #458 -#462 := [quant-intro #459]: #461 -#513 := [monotonicity #462 #510]: #512 -#516 := [monotonicity #513]: #515 -#454 := (iff #109 #453) -#455 := [rewrite]: #454 -#519 := [monotonicity #455 #516]: #518 -#522 := [monotonicity #519]: #521 -#526 := [trans #522 #524]: #525 -#451 := (iff #106 #450) -#448 := (iff #105 #447) -#449 := [rewrite]: #448 -#452 := [quant-intro #449]: #451 -#529 := [monotonicity #452 #526]: #528 -#849 := [monotonicity #529 #846]: #848 -#855 := [trans #849 #853]: #854 -#858 := [monotonicity #452 #855]: #857 -#444 := (iff #97 #443) -#441 := (iff #96 #440) -#442 := [rewrite]: #441 -#445 := [quant-intro #442]: #444 -#861 := [monotonicity #445 #858]: #860 -#867 := [trans #861 #865]: #866 -#870 := [monotonicity #445 #867]: #869 -#437 := (iff #89 #436) -#434 := (iff #88 #433) -#435 := [rewrite]: #434 -#438 := [quant-intro #435]: #437 -#873 := [monotonicity #438 #870]: #872 -#879 := [trans #873 #877]: #878 -#882 := [monotonicity #438 #879]: #881 -#885 := [monotonicity #882]: #884 -#891 := [trans #885 #889]: #890 -#894 := [monotonicity #891]: #893 -#430 := (iff #81 #429) -#431 := [rewrite]: #430 -#897 := [monotonicity #431 #894]: #896 -#903 := [trans #897 #901]: #902 -#906 := [monotonicity #431 #903]: #905 -#427 := (iff #79 #419) -#422 := (and true #419) -#425 := (iff #422 #419) -#426 := [rewrite]: #425 -#423 := (iff #79 #422) -#420 := (iff #78 #419) -#417 := (iff #77 #414) -#411 := (and #408 #76) -#415 := (iff #411 #414) -#416 := [rewrite]: #415 -#412 := (iff #77 #411) -#409 := (iff #73 #408) -#406 := (iff #72 #403) -#400 := (implies #70 #397) -#404 := (iff #400 #403) -#405 := [rewrite]: #404 -#401 := (iff #72 #400) -#398 := (iff #71 #397) -#399 := [rewrite]: #398 -#402 := [monotonicity #399]: #401 -#407 := [trans #402 #405]: #406 -#410 := [quant-intro #407]: #409 -#413 := [monotonicity #410]: #412 -#418 := [trans #413 #416]: #417 -#395 := (iff #69 #394) -#392 := (iff #68 #389) -#386 := (implies #65 #383) -#390 := (iff #386 #389) -#391 := [rewrite]: #390 -#387 := (iff #68 #386) -#384 := (iff #67 #383) -#385 := [rewrite]: #384 -#388 := [monotonicity #385]: #387 -#393 := [trans #388 #391]: #392 -#396 := [quant-intro #393]: #395 -#421 := [monotonicity #396 #418]: #420 -#424 := [monotonicity #421]: #423 -#428 := [trans #424 #426]: #427 -#909 := [monotonicity #428 #906]: #908 -#915 := [trans #909 #913]: #914 -#918 := [monotonicity #915]: #917 -#1490 := [trans #918 #1488]: #1489 -#382 := [asserted]: #269 -#1491 := [mp #382 #1490]: #1486 -#1492 := [not-or-elim #1491]: #930 -#1495 := [and-elim #1492]: #924 -#1562 := [mp~ #1495 #1522]: #924 -#3898 := [mp #1562 #3897]: #3893 -#4872 := (not #3893) -#4974 := (or #4872 #81) -#3593 := (= uf_11 uf_11) -#4532 := (not #3593) -#4917 := (or #4532 #81) -#4975 := (or #4872 #4917) -#4976 := (iff #4975 #4974) -#4978 := (iff #4974 #4974) -#4979 := [rewrite]: #4978 -#4972 := (iff #4917 #81) -#4951 := (or false #81) -#4969 := (iff #4951 #81) -#4971 := [rewrite]: #4969 -#4952 := (iff #4917 #4951) -#4949 := (iff #4532 false) -#4945 := (not true) -#4948 := (iff #4945 false) -#4943 := [rewrite]: #4948 -#4946 := (iff #4532 #4945) -#4918 := (iff #3593 true) -#4944 := [rewrite]: #4918 -#4947 := [monotonicity #4944]: #4946 -#4950 := [trans #4947 #4943]: #4949 -#4953 := [monotonicity #4950]: #4952 -#4973 := [trans #4953 #4971]: #4972 -#4977 := [monotonicity #4973]: #4976 -#4980 := [trans #4977 #4979]: #4976 -#4970 := [quant-inst]: #4975 -#4990 := [mp #4970 #4980]: #4974 -#4993 := [unit-resolution #4990 #3898 #4992]: false -#4994 := [lemma #4993]: #81 -#4268 := (or #940 #4265) -#3163 := (forall (vars (?x76 T2)) #3152) -#3170 := (not #3163) -#3148 := (forall (vars (?x71 T2) (?x72 T2)) #3143) -#3169 := (not #3148) -#3171 := (or #2044 #2557 #3169 #3170) -#3172 := (not #3171) -#3177 := (or #3126 #3172) -#3184 := (not #3177) -#3103 := (forall (vars (?x67 T2) (?x68 T2)) #3098) -#3183 := (not #3103) -#3185 := (or #3183 #3184) -#3186 := (not #3185) -#3191 := (or #3080 #3186) -#3197 := (not #3191) -#3198 := (or #1333 #3197) -#3199 := (not #3198) -#3204 := (or #1964 #3199) -#3210 := (not #3204) -#3211 := (or #1324 #3210) -#3212 := (not #3211) -#3217 := (or #1324 #3212) -#3223 := (not #3217) -#3224 := (or #814 #3223) -#3225 := (not #3224) -#3230 := (or #2500 #3225) -#3236 := (not #3230) -#3237 := (or #1319 #3236) -#3238 := (not #3237) -#3243 := (or #2491 #3238) -#3253 := (not #3243) -#3057 := (forall (vars (?x60 T2)) #3054) -#3251 := (not #3057) -#3051 := (forall (vars (?x59 T2)) #3046) -#3250 := (not #3051) -#3252 := (not #1278) -#3254 := (or #183 #3249 #3252 #1282 #1890 #1892 #3250 #3251 #3253) -#3255 := (not #3254) -#2965 := (forall (vars (?x53 T2) (?x54 T2)) #2960) -#2971 := (not #2965) -#2972 := (or #176 #2971) -#2973 := (not #2972) -#3000 := (or #2973 #2997) -#3007 := (not #3000) -#2943 := (forall (vars (?x49 T2)) #2938) -#3006 := (not #2943) -#3008 := (or #3006 #3007) -#3009 := (not #3008) -#2906 := (forall (vars (?x50 T2)) #2895) -#2912 := (not #2906) -#2913 := (or #1776 #2342 #2912) -#2914 := (not #2913) -#3014 := (or #2914 #3009) -#3025 := (not #3014) -#2891 := (forall (vars (?x48 T2)) #2880) -#3024 := (not #2891) -#3026 := (or #3020 #3021 #3022 #3023 #3024 #3025) -#3027 := (not #3026) -#3260 := (or #3027 #3255) -#3272 := (not #3260) -#2877 := (forall (vars (?x46 T2)) #2872) -#3271 := (not #2877) -#2849 := (forall (vars (?x37 T2)) #2844) -#3270 := (not #2849) -#2821 := (forall (vars (?x42 T2) (?x43 T2)) #2816) -#3268 := (not #2821) -#2798 := (forall (vars (?x44 T2) (?x45 T2)) #2793) -#3267 := (not #2798) -#3269 := (not #1104) -#3273 := (or #3266 #3269 #3267 #3268 #3270 #3271 #3272) -#3274 := (not #3273) -#2766 := (forall (vars (?x38 T2)) #2755) -#2772 := (not #2766) -#2773 := (or #1650 #2214 #2772) -#2774 := (not #2773) -#3279 := (or #2774 #3274) -#3286 := (not #3279) -#2751 := (forall (vars (?x33 T2) (?x34 T2)) #2746) -#3285 := (not #2751) -#3287 := (or #3285 #3286) -#3288 := (not #3287) -#3293 := (or #2729 #3288) -#3300 := (not #3293) -#2706 := (forall (vars (?x29 T2) (?x30 T2)) #2701) -#3299 := (not #2706) -#3301 := (or #3299 #3300) -#3302 := (not #3301) -#3307 := (or #2022 #3302) -#3313 := (not #3307) -#3314 := (or #949 #3313) -#3315 := (not #3314) -#3320 := (or #1569 #3315) -#3326 := (not #3320) -#3327 := (or #940 #3326) -#3328 := (not #3327) -#3333 := (or #940 #3328) -#4269 := (iff #3333 #4268) -#4266 := (iff #3328 #4265) -#4263 := (iff #3327 #4262) -#4260 := (iff #3326 #4259) -#4257 := (iff #3320 #4256) -#4254 := (iff #3315 #4253) -#4251 := (iff #3314 #4250) -#4248 := (iff #3313 #4247) -#4245 := (iff #3307 #4244) -#4242 := (iff #3302 #4241) -#4239 := (iff #3301 #4238) -#4236 := (iff #3300 #4235) -#4233 := (iff #3293 #4232) -#4230 := (iff #3288 #4229) -#4227 := (iff #3287 #4226) -#4224 := (iff #3286 #4223) -#4221 := (iff #3279 #4220) -#4218 := (iff #3274 #4217) -#4215 := (iff #3273 #4214) -#4212 := (iff #3272 #4211) -#4209 := (iff #3260 #4208) -#4206 := (iff #3255 #4205) -#4203 := (iff #3254 #4202) -#4200 := (iff #3253 #4199) -#4197 := (iff #3243 #4196) -#4194 := (iff #3238 #4193) -#4191 := (iff #3237 #4190) -#4188 := (iff #3236 #4187) -#4185 := (iff #3230 #4184) -#4182 := (iff #3225 #4181) -#4179 := (iff #3224 #4178) -#4176 := (iff #3223 #4175) -#4173 := (iff #3217 #4172) -#4170 := (iff #3212 #4169) -#4167 := (iff #3211 #4166) -#4164 := (iff #3210 #4163) -#4161 := (iff #3204 #4160) -#4158 := (iff #3199 #4157) -#4155 := (iff #3198 #4154) -#4152 := (iff #3197 #4151) -#4149 := (iff #3191 #4148) -#4146 := (iff #3186 #4145) -#4143 := (iff #3185 #4142) -#4140 := (iff #3184 #4139) -#4137 := (iff #3177 #4136) -#4134 := (iff #3172 #4133) -#4131 := (iff #3171 #4130) -#4128 := (iff #3170 #4127) -#4125 := (iff #3163 #4122) -#4123 := (iff #3152 #3152) -#4124 := [refl]: #4123 -#4126 := [quant-intro #4124]: #4125 -#4129 := [monotonicity #4126]: #4128 -#4119 := (iff #3169 #4118) -#4116 := (iff #3148 #4113) -#4114 := (iff #3143 #3143) -#4115 := [refl]: #4114 -#4117 := [quant-intro #4115]: #4116 -#4120 := [monotonicity #4117]: #4119 -#4132 := [monotonicity #4120 #4129]: #4131 -#4135 := [monotonicity #4132]: #4134 -#4138 := [monotonicity #4135]: #4137 -#4141 := [monotonicity #4138]: #4140 -#4111 := (iff #3183 #4110) -#4108 := (iff #3103 #4105) -#4106 := (iff #3098 #3098) -#4107 := [refl]: #4106 -#4109 := [quant-intro #4107]: #4108 -#4112 := [monotonicity #4109]: #4111 -#4144 := [monotonicity #4112 #4141]: #4143 -#4147 := [monotonicity #4144]: #4146 -#4150 := [monotonicity #4147]: #4149 -#4153 := [monotonicity #4150]: #4152 -#4102 := (iff #1333 #4101) -#4099 := (iff #1330 #4096) -#4097 := (iff #1327 #1327) -#4098 := [refl]: #4097 -#4100 := [quant-intro #4098]: #4099 -#4103 := [monotonicity #4100]: #4102 -#4156 := [monotonicity #4103 #4153]: #4155 -#4159 := [monotonicity #4156]: #4158 -#4162 := [monotonicity #4159]: #4161 -#4165 := [monotonicity #4162]: #4164 -#4168 := [monotonicity #4165]: #4167 -#4171 := [monotonicity #4168]: #4170 -#4174 := [monotonicity #4171]: #4173 -#4177 := [monotonicity #4174]: #4176 -#4094 := (iff #814 #4093) -#4091 := (iff #705 #4088) -#4089 := (iff #700 #700) -#4090 := [refl]: #4089 -#4092 := [quant-intro #4090]: #4091 -#4095 := [monotonicity #4092]: #4094 -#4180 := [monotonicity #4095 #4177]: #4179 -#4183 := [monotonicity #4180]: #4182 -#4186 := [monotonicity #4183]: #4185 -#4189 := [monotonicity #4186]: #4188 -#4085 := (iff #1319 #4084) -#4082 := (iff #1316 #4079) -#4080 := (iff #1312 #1312) -#4081 := [refl]: #4080 -#4083 := [quant-intro #4081]: #4082 -#4086 := [monotonicity #4083]: #4085 -#4192 := [monotonicity #4086 #4189]: #4191 -#4195 := [monotonicity #4192]: #4194 -#4198 := [monotonicity #4195]: #4197 -#4201 := [monotonicity #4198]: #4200 -#4077 := (iff #3251 #4076) -#4074 := (iff #3057 #4071) -#4072 := (iff #3054 #3054) -#4073 := [refl]: #4072 -#4075 := [quant-intro #4073]: #4074 -#4078 := [monotonicity #4075]: #4077 -#4069 := (iff #3250 #4068) -#4066 := (iff #3051 #4063) -#4064 := (iff #3046 #3046) -#4065 := [refl]: #4064 -#4067 := [quant-intro #4065]: #4066 -#4070 := [monotonicity #4067]: #4069 -#4059 := (iff #3252 #4058) -#4056 := (iff #1278 #4053) -#4054 := (iff #1275 #1275) -#4055 := [refl]: #4054 -#4057 := [quant-intro #4055]: #4056 -#4060 := [monotonicity #4057]: #4059 -#4204 := [monotonicity #4060 #4070 #4078 #4201]: #4203 -#4207 := [monotonicity #4204]: #4206 -#4051 := (iff #3027 #4050) -#4048 := (iff #3026 #4047) -#4045 := (iff #3025 #4044) -#4042 := (iff #3014 #4041) -#4039 := (iff #3009 #4038) -#4036 := (iff #3008 #4035) -#4033 := (iff #3007 #4032) -#4030 := (iff #3000 #4029) -#4027 := (iff #2973 #4026) -#4024 := (iff #2972 #4023) -#4021 := (iff #2971 #4020) -#4018 := (iff #2965 #4015) -#4016 := (iff #2960 #2960) -#4017 := [refl]: #4016 -#4019 := [quant-intro #4017]: #4018 -#4022 := [monotonicity #4019]: #4021 -#4025 := [monotonicity #4022]: #4024 -#4028 := [monotonicity #4025]: #4027 -#4031 := [monotonicity #4028]: #4030 -#4034 := [monotonicity #4031]: #4033 -#4013 := (iff #3006 #4012) -#4010 := (iff #2943 #4007) -#4008 := (iff #2938 #2938) -#4009 := [refl]: #4008 -#4011 := [quant-intro #4009]: #4010 -#4014 := [monotonicity #4011]: #4013 -#4037 := [monotonicity #4014 #4034]: #4036 -#4040 := [monotonicity #4037]: #4039 -#4005 := (iff #2914 #4004) -#4002 := (iff #2913 #4001) -#3999 := (iff #2912 #3998) -#3996 := (iff #2906 #3993) -#3994 := (iff #2895 #2895) -#3995 := [refl]: #3994 -#3997 := [quant-intro #3995]: #3996 -#4000 := [monotonicity #3997]: #3999 -#4003 := [monotonicity #4000]: #4002 -#4006 := [monotonicity #4003]: #4005 -#4043 := [monotonicity #4006 #4040]: #4042 -#4046 := [monotonicity #4043]: #4045 -#3989 := (iff #3024 #3988) -#3986 := (iff #2891 #3983) -#3984 := (iff #2880 #2880) -#3985 := [refl]: #3984 -#3987 := [quant-intro #3985]: #3986 -#3990 := [monotonicity #3987]: #3989 -#4049 := [monotonicity #3990 #4046]: #4048 -#4052 := [monotonicity #4049]: #4051 -#4210 := [monotonicity #4052 #4207]: #4209 -#4213 := [monotonicity #4210]: #4212 -#3980 := (iff #3271 #3979) -#3977 := (iff #2877 #3974) -#3975 := (iff #2872 #2872) -#3976 := [refl]: #3975 -#3978 := [quant-intro #3976]: #3977 -#3981 := [monotonicity #3978]: #3980 -#3972 := (iff #3270 #3971) -#3969 := (iff #2849 #3966) -#3967 := (iff #2844 #2844) -#3968 := [refl]: #3967 -#3970 := [quant-intro #3968]: #3969 -#3973 := [monotonicity #3970]: #3972 -#3964 := (iff #3268 #3963) -#3961 := (iff #2821 #3958) -#3959 := (iff #2816 #2816) -#3960 := [refl]: #3959 -#3962 := [quant-intro #3960]: #3961 -#3965 := [monotonicity #3962]: #3964 -#3955 := (iff #3267 #3954) -#3952 := (iff #2798 #3949) -#3950 := (iff #2793 #2793) -#3951 := [refl]: #3950 -#3953 := [quant-intro #3951]: #3952 -#3956 := [monotonicity #3953]: #3955 -#3947 := (iff #3269 #3946) -#3944 := (iff #1104 #3941) -#3942 := (iff #1101 #1101) -#3943 := [refl]: #3942 -#3945 := [quant-intro #3943]: #3944 -#3948 := [monotonicity #3945]: #3947 -#4216 := [monotonicity #3948 #3956 #3965 #3973 #3981 #4213]: #4215 -#4219 := [monotonicity #4216]: #4218 -#3938 := (iff #2774 #3937) -#3935 := (iff #2773 #3934) -#3932 := (iff #2772 #3931) -#3929 := (iff #2766 #3926) -#3927 := (iff #2755 #2755) -#3928 := [refl]: #3927 -#3930 := [quant-intro #3928]: #3929 -#3933 := [monotonicity #3930]: #3932 -#3936 := [monotonicity #3933]: #3935 -#3939 := [monotonicity #3936]: #3938 -#4222 := [monotonicity #3939 #4219]: #4221 -#4225 := [monotonicity #4222]: #4224 -#3923 := (iff #3285 #3922) -#3920 := (iff #2751 #3917) -#3918 := (iff #2746 #2746) -#3919 := [refl]: #3918 -#3921 := [quant-intro #3919]: #3920 -#3924 := [monotonicity #3921]: #3923 -#4228 := [monotonicity #3924 #4225]: #4227 -#4231 := [monotonicity #4228]: #4230 -#4234 := [monotonicity #4231]: #4233 -#4237 := [monotonicity #4234]: #4236 -#3914 := (iff #3299 #3913) -#3911 := (iff #2706 #3908) -#3909 := (iff #2701 #2701) -#3910 := [refl]: #3909 -#3912 := [quant-intro #3910]: #3911 -#3915 := [monotonicity #3912]: #3914 -#4240 := [monotonicity #3915 #4237]: #4239 -#4243 := [monotonicity #4240]: #4242 -#4246 := [monotonicity #4243]: #4245 -#4249 := [monotonicity #4246]: #4248 -#3905 := (iff #949 #3904) -#3902 := (iff #946 #3899) -#3900 := (iff #945 #945) -#3901 := [refl]: #3900 -#3903 := [quant-intro #3901]: #3902 -#3906 := [monotonicity #3903]: #3905 -#4252 := [monotonicity #3906 #4249]: #4251 -#4255 := [monotonicity #4252]: #4254 -#4258 := [monotonicity #4255]: #4257 -#4261 := [monotonicity #4258]: #4260 -#4264 := [monotonicity #4261]: #4263 -#4267 := [monotonicity #4264]: #4266 -#4270 := [monotonicity #4267]: #4269 -#2040 := (not #2039) -#2588 := (and #216 #2040 #2585) -#2591 := (not #2588) -#2594 := (forall (vars (?x76 T2)) #2591) -#2560 := (not #2557) -#2603 := (and #1368 #2045 #2560 #2594) -#2530 := (and #2014 #2015) -#2533 := (not #2530) -#2551 := (or #2533 #2546) -#2554 := (not #2551) -#2608 := (or #2554 #2603) -#2611 := (and #1344 #2608) -#1985 := (not #1984) -#2505 := (and #1983 #1985) -#2508 := (not #2505) -#2524 := (or #2508 #2519) -#2527 := (not #2524) -#2614 := (or #2527 #2611) -#2617 := (and #1330 #2614) -#2620 := (or #1964 #2617) -#2623 := (and #220 #2620) -#2626 := (or #1324 #2623) -#2629 := (and #705 #2626) -#2632 := (or #2500 #2629) -#2635 := (and #1316 #2632) -#2638 := (or #2491 #2635) -#1893 := (not #1892) -#1891 := (not #1890) -#2644 := (and #184 #192 #1257 #1268 #1278 #1283 #1891 #1893 #2638) -#1843 := (not #1842) -#1839 := (not #1838) -#2430 := (and #1839 #1843) -#2433 := (not #2430) -#2450 := (or #2433 #2445) -#2453 := (not #2450) -#1852 := (not #176) -#1862 := (and #1852 #1201) -#2459 := (or #1862 #2453) -#2403 := (not #2398) -#2421 := (and #2403 #2416) -#2424 := (or #1161 #2421) -#2427 := (forall (vars (?x49 T2)) #2424) -#2464 := (and #2427 #2459) -#1772 := (not #1771) -#2373 := (and #1772 #2370) -#2376 := (not #2373) -#2379 := (forall (vars (?x50 T2)) #2376) -#2345 := (not #2342) -#1777 := (not #1776) -#2385 := (and #1777 #2345 #2379) -#2467 := (or #2385 #2464) -#1751 := (not #1132) -#1754 := (forall (vars (?x48 T2)) #1751) -#2473 := (and #149 #154 #530 #533 #1754 #2467) -#2649 := (or #2473 #2644) -#2330 := (not #2325) -#2333 := (and #1717 #2313 #2330) -#2336 := (or #1063 #2333) -#2339 := (forall (vars (?x46 T2)) #2336) -#2275 := (not #2270) -#2293 := (and #1690 #2275 #2288) -#2296 := (or #1002 #2293) -#2299 := (forall (vars (?x37 T2)) #2296) -#2658 := (and #109 #1051 #1098 #1104 #2299 #2339 #2649) -#1646 := (not #1645) -#2245 := (and #74 #1646 #2242) -#2248 := (not #2245) -#2251 := (forall (vars (?x38 T2)) #2248) -#2217 := (not #2214) -#1651 := (not #1650) -#2257 := (and #1651 #2217 #2251) -#2663 := (or #2257 #2658) -#2666 := (and #987 #2663) -#1619 := (not #1618) -#2195 := (and #1619 #1620) -#2198 := (not #2195) -#2208 := (or #2198 #2205) -#2211 := (not #2208) -#2669 := (or #2211 #2666) -#2672 := (and #961 #2669) -#1590 := (not #1589) -#2170 := (and #1588 #1590) -#2173 := (not #2170) -#2189 := (or #2173 #2184) -#2192 := (not #2189) -#2675 := (or #2192 #2672) -#2678 := (and #946 #2675) -#2681 := (or #1569 #2678) -#2684 := (and #81 #2681) -#2687 := (or #940 #2684) -#3334 := (iff #2687 #3333) -#3331 := (iff #2684 #3328) -#3323 := (and #81 #3320) -#3329 := (iff #3323 #3328) -#3330 := [rewrite]: #3329 -#3324 := (iff #2684 #3323) -#3321 := (iff #2681 #3320) -#3318 := (iff #2678 #3315) -#3310 := (and #946 #3307) -#3316 := (iff #3310 #3315) -#3317 := [rewrite]: #3316 -#3311 := (iff #2678 #3310) -#3308 := (iff #2675 #3307) -#3305 := (iff #2672 #3302) -#3296 := (and #2706 #3293) -#3303 := (iff #3296 #3302) -#3304 := [rewrite]: #3303 -#3297 := (iff #2672 #3296) -#3294 := (iff #2669 #3293) -#3291 := (iff #2666 #3288) -#3282 := (and #2751 #3279) -#3289 := (iff #3282 #3288) -#3290 := [rewrite]: #3289 -#3283 := (iff #2666 #3282) -#3280 := (iff #2663 #3279) -#3277 := (iff #2658 #3274) -#3263 := (and #109 #2798 #2821 #1104 #2849 #2877 #3260) -#3275 := (iff #3263 #3274) -#3276 := [rewrite]: #3275 -#3264 := (iff #2658 #3263) -#3261 := (iff #2649 #3260) -#3258 := (iff #2644 #3255) -#3246 := (and #184 #192 #3051 #3057 #1278 #1283 #1891 #1893 #3243) -#3256 := (iff #3246 #3255) -#3257 := [rewrite]: #3256 -#3247 := (iff #2644 #3246) -#3244 := (iff #2638 #3243) -#3241 := (iff #2635 #3238) -#3233 := (and #1316 #3230) -#3239 := (iff #3233 #3238) -#3240 := [rewrite]: #3239 -#3234 := (iff #2635 #3233) -#3231 := (iff #2632 #3230) -#3228 := (iff #2629 #3225) -#3220 := (and #705 #3217) -#3226 := (iff #3220 #3225) -#3227 := [rewrite]: #3226 -#3221 := (iff #2629 #3220) -#3218 := (iff #2626 #3217) -#3215 := (iff #2623 #3212) -#3207 := (and #220 #3204) -#3213 := (iff #3207 #3212) -#3214 := [rewrite]: #3213 -#3208 := (iff #2623 #3207) -#3205 := (iff #2620 #3204) -#3202 := (iff #2617 #3199) -#3194 := (and #1330 #3191) -#3200 := (iff #3194 #3199) -#3201 := [rewrite]: #3200 -#3195 := (iff #2617 #3194) -#3192 := (iff #2614 #3191) -#3189 := (iff #2611 #3186) -#3180 := (and #3103 #3177) -#3187 := (iff #3180 #3186) -#3188 := [rewrite]: #3187 -#3181 := (iff #2611 #3180) -#3178 := (iff #2608 #3177) -#3175 := (iff #2603 #3172) -#3166 := (and #3148 #2045 #2560 #3163) -#3173 := (iff #3166 #3172) -#3174 := [rewrite]: #3173 -#3167 := (iff #2603 #3166) -#3164 := (iff #2594 #3163) -#3161 := (iff #2591 #3152) -#3153 := (not #3152) -#3156 := (not #3153) -#3159 := (iff #3156 #3152) -#3160 := [rewrite]: #3159 -#3157 := (iff #2591 #3156) -#3154 := (iff #2588 #3153) -#3155 := [rewrite]: #3154 -#3158 := [monotonicity #3155]: #3157 -#3162 := [trans #3158 #3160]: #3161 -#3165 := [quant-intro #3162]: #3164 -#3149 := (iff #1368 #3148) -#3146 := (iff #1365 #3143) -#3129 := (or #223 #969) -#3140 := (or #3129 #1361) -#3144 := (iff #3140 #3143) -#3145 := [rewrite]: #3144 -#3141 := (iff #1365 #3140) -#3138 := (iff #1358 #3129) -#3130 := (not #3129) -#3133 := (not #3130) -#3136 := (iff #3133 #3129) -#3137 := [rewrite]: #3136 -#3134 := (iff #1358 #3133) -#3131 := (iff #1353 #3130) -#3132 := [rewrite]: #3131 -#3135 := [monotonicity #3132]: #3134 -#3139 := [trans #3135 #3137]: #3138 -#3142 := [monotonicity #3139]: #3141 -#3147 := [trans #3142 #3145]: #3146 -#3150 := [quant-intro #3147]: #3149 -#3168 := [monotonicity #3150 #3165]: #3167 -#3176 := [trans #3168 #3174]: #3175 -#3127 := (iff #2554 #3126) -#3124 := (iff #2551 #3121) -#3107 := (or #2013 #3106) -#3118 := (or #3107 #2546) -#3122 := (iff #3118 #3121) -#3123 := [rewrite]: #3122 -#3119 := (iff #2551 #3118) -#3116 := (iff #2533 #3107) -#3108 := (not #3107) -#3111 := (not #3108) -#3114 := (iff #3111 #3107) -#3115 := [rewrite]: #3114 -#3112 := (iff #2533 #3111) -#3109 := (iff #2530 #3108) -#3110 := [rewrite]: #3109 -#3113 := [monotonicity #3110]: #3112 -#3117 := [trans #3113 #3115]: #3116 -#3120 := [monotonicity #3117]: #3119 -#3125 := [trans #3120 #3123]: #3124 -#3128 := [monotonicity #3125]: #3127 -#3179 := [monotonicity #3128 #3176]: #3178 -#3104 := (iff #1344 #3103) -#3101 := (iff #1341 #3098) -#3084 := (or #216 #3083) -#3095 := (or #3084 #1336) -#3099 := (iff #3095 #3098) -#3100 := [rewrite]: #3099 -#3096 := (iff #1341 #3095) -#3093 := (iff #711 #3084) -#3085 := (not #3084) -#3088 := (not #3085) -#3091 := (iff #3088 #3084) -#3092 := [rewrite]: #3091 -#3089 := (iff #711 #3088) -#3086 := (iff #225 #3085) -#3087 := [rewrite]: #3086 -#3090 := [monotonicity #3087]: #3089 -#3094 := [trans #3090 #3092]: #3093 -#3097 := [monotonicity #3094]: #3096 -#3102 := [trans #3097 #3100]: #3101 -#3105 := [quant-intro #3102]: #3104 -#3182 := [monotonicity #3105 #3179]: #3181 -#3190 := [trans #3182 #3188]: #3189 -#3081 := (iff #2527 #3080) -#3078 := (iff #2524 #3075) -#3061 := (or #3060 #1984) -#3072 := (or #3061 #2519) -#3076 := (iff #3072 #3075) -#3077 := [rewrite]: #3076 -#3073 := (iff #2524 #3072) -#3070 := (iff #2508 #3061) -#3062 := (not #3061) -#3065 := (not #3062) -#3068 := (iff #3065 #3061) -#3069 := [rewrite]: #3068 -#3066 := (iff #2508 #3065) -#3063 := (iff #2505 #3062) -#3064 := [rewrite]: #3063 -#3067 := [monotonicity #3064]: #3066 -#3071 := [trans #3067 #3069]: #3070 -#3074 := [monotonicity #3071]: #3073 -#3079 := [trans #3074 #3077]: #3078 -#3082 := [monotonicity #3079]: #3081 -#3193 := [monotonicity #3082 #3190]: #3192 -#3196 := [monotonicity #3193]: #3195 -#3203 := [trans #3196 #3201]: #3202 -#3206 := [monotonicity #3203]: #3205 -#3209 := [monotonicity #3206]: #3208 -#3216 := [trans #3209 #3214]: #3215 -#3219 := [monotonicity #3216]: #3218 -#3222 := [monotonicity #3219]: #3221 -#3229 := [trans #3222 #3227]: #3228 -#3232 := [monotonicity #3229]: #3231 -#3235 := [monotonicity #3232]: #3234 -#3242 := [trans #3235 #3240]: #3241 -#3245 := [monotonicity #3242]: #3244 -#3058 := (iff #1268 #3057) -#3055 := (iff #1263 #3054) -#3034 := (iff #1242 #3033) -#3035 := [rewrite]: #3034 -#3056 := [monotonicity #3035]: #3055 -#3059 := [quant-intro #3056]: #3058 -#3052 := (iff #1257 #3051) -#3049 := (iff #1254 #3046) -#3043 := (or #3032 #1251) -#3047 := (iff #3043 #3046) -#3048 := [rewrite]: #3047 -#3044 := (iff #1254 #3043) -#3041 := (iff #1245 #3032) -#3036 := (not #3033) -#3039 := (iff #3036 #3032) -#3040 := [rewrite]: #3039 -#3037 := (iff #1245 #3036) -#3038 := [monotonicity #3035]: #3037 -#3042 := [trans #3038 #3040]: #3041 -#3045 := [monotonicity #3042]: #3044 -#3050 := [trans #3045 #3048]: #3049 -#3053 := [quant-intro #3050]: #3052 -#3248 := [monotonicity #3053 #3059 #3245]: #3247 -#3259 := [trans #3248 #3257]: #3258 -#3030 := (iff #2473 #3027) -#3017 := (and #149 #154 #530 #533 #2891 #3014) -#3028 := (iff #3017 #3027) -#3029 := [rewrite]: #3028 -#3018 := (iff #2473 #3017) -#3015 := (iff #2467 #3014) -#3012 := (iff #2464 #3009) -#3003 := (and #2943 #3000) -#3010 := (iff #3003 #3009) -#3011 := [rewrite]: #3010 -#3004 := (iff #2464 #3003) -#3001 := (iff #2459 #3000) -#2998 := (iff #2453 #2997) -#2995 := (iff #2450 #2992) -#2978 := (or #1838 #1842) -#2989 := (or #2978 #2445) -#2993 := (iff #2989 #2992) -#2994 := [rewrite]: #2993 -#2990 := (iff #2450 #2989) -#2987 := (iff #2433 #2978) -#2979 := (not #2978) -#2982 := (not #2979) -#2985 := (iff #2982 #2978) -#2986 := [rewrite]: #2985 -#2983 := (iff #2433 #2982) -#2980 := (iff #2430 #2979) -#2981 := [rewrite]: #2980 -#2984 := [monotonicity #2981]: #2983 -#2988 := [trans #2984 #2986]: #2987 -#2991 := [monotonicity #2988]: #2990 -#2996 := [trans #2991 #2994]: #2995 -#2999 := [monotonicity #2996]: #2998 -#2976 := (iff #1862 #2973) -#2968 := (and #1852 #2965) -#2974 := (iff #2968 #2973) -#2975 := [rewrite]: #2974 -#2969 := (iff #1862 #2968) -#2966 := (iff #1201 #2965) -#2963 := (iff #1198 #2960) -#2946 := (or #969 #1154) -#2957 := (or #2946 #1195) -#2961 := (iff #2957 #2960) -#2962 := [rewrite]: #2961 -#2958 := (iff #1198 #2957) -#2955 := (iff #1192 #2946) -#2947 := (not #2946) -#2950 := (not #2947) -#2953 := (iff #2950 #2946) -#2954 := [rewrite]: #2953 -#2951 := (iff #1192 #2950) -#2948 := (iff #1189 #2947) -#2949 := [rewrite]: #2948 -#2952 := [monotonicity #2949]: #2951 -#2956 := [trans #2952 #2954]: #2955 -#2959 := [monotonicity #2956]: #2958 -#2964 := [trans #2959 #2962]: #2963 -#2967 := [quant-intro #2964]: #2966 -#2970 := [monotonicity #2967]: #2969 -#2977 := [trans #2970 #2975]: #2976 -#3002 := [monotonicity #2977 #2999]: #3001 -#2944 := (iff #2427 #2943) -#2941 := (iff #2424 #2938) -#2919 := (or #65 #1154) -#2935 := (or #2919 #2932) -#2939 := (iff #2935 #2938) -#2940 := [rewrite]: #2939 -#2936 := (iff #2424 #2935) -#2933 := (iff #2421 #2932) -#2934 := [rewrite]: #2933 -#2928 := (iff #1161 #2919) -#2920 := (not #2919) -#2923 := (not #2920) -#2926 := (iff #2923 #2919) -#2927 := [rewrite]: #2926 -#2924 := (iff #1161 #2923) -#2921 := (iff #1158 #2920) -#2922 := [rewrite]: #2921 -#2925 := [monotonicity #2922]: #2924 -#2929 := [trans #2925 #2927]: #2928 -#2937 := [monotonicity #2929 #2934]: #2936 -#2942 := [trans #2937 #2940]: #2941 -#2945 := [quant-intro #2942]: #2944 -#3005 := [monotonicity #2945 #3002]: #3004 -#3013 := [trans #3005 #3011]: #3012 -#2917 := (iff #2385 #2914) -#2909 := (and #1777 #2345 #2906) -#2915 := (iff #2909 #2914) -#2916 := [rewrite]: #2915 -#2910 := (iff #2385 #2909) -#2907 := (iff #2379 #2906) -#2904 := (iff #2376 #2895) -#2896 := (not #2895) -#2899 := (not #2896) -#2902 := (iff #2899 #2895) -#2903 := [rewrite]: #2902 -#2900 := (iff #2376 #2899) -#2897 := (iff #2373 #2896) -#2898 := [rewrite]: #2897 -#2901 := [monotonicity #2898]: #2900 -#2905 := [trans #2901 #2903]: #2904 -#2908 := [quant-intro #2905]: #2907 -#2911 := [monotonicity #2908]: #2910 -#2918 := [trans #2911 #2916]: #2917 -#3016 := [monotonicity #2918 #3013]: #3015 -#2892 := (iff #1754 #2891) -#2889 := (iff #1751 #2880) -#2881 := (not #2880) -#2884 := (not #2881) -#2887 := (iff #2884 #2880) -#2888 := [rewrite]: #2887 -#2885 := (iff #1751 #2884) -#2882 := (iff #1132 #2881) -#2883 := [rewrite]: #2882 -#2886 := [monotonicity #2883]: #2885 -#2890 := [trans #2886 #2888]: #2889 -#2893 := [quant-intro #2890]: #2892 -#3019 := [monotonicity #2893 #3016]: #3018 -#3031 := [trans #3019 #3029]: #3030 -#3262 := [monotonicity #3031 #3259]: #3261 -#2878 := (iff #2339 #2877) -#2875 := (iff #2336 #2872) -#2852 := (or #65 #1056) -#2869 := (or #2852 #2866) -#2873 := (iff #2869 #2872) -#2874 := [rewrite]: #2873 -#2870 := (iff #2336 #2869) -#2867 := (iff #2333 #2866) -#2868 := [rewrite]: #2867 -#2861 := (iff #1063 #2852) -#2853 := (not #2852) -#2856 := (not #2853) -#2859 := (iff #2856 #2852) -#2860 := [rewrite]: #2859 -#2857 := (iff #1063 #2856) -#2854 := (iff #1060 #2853) -#2855 := [rewrite]: #2854 -#2858 := [monotonicity #2855]: #2857 -#2862 := [trans #2858 #2860]: #2861 -#2871 := [monotonicity #2862 #2868]: #2870 -#2876 := [trans #2871 #2874]: #2875 -#2879 := [quant-intro #2876]: #2878 -#2850 := (iff #2299 #2849) -#2847 := (iff #2296 #2844) -#2824 := (or #65 #995) -#2841 := (or #2824 #2838) -#2845 := (iff #2841 #2844) -#2846 := [rewrite]: #2845 -#2842 := (iff #2296 #2841) -#2839 := (iff #2293 #2838) -#2840 := [rewrite]: #2839 -#2833 := (iff #1002 #2824) -#2825 := (not #2824) -#2828 := (not #2825) -#2831 := (iff #2828 #2824) -#2832 := [rewrite]: #2831 -#2829 := (iff #1002 #2828) -#2826 := (iff #999 #2825) -#2827 := [rewrite]: #2826 -#2830 := [monotonicity #2827]: #2829 -#2834 := [trans #2830 #2832]: #2833 -#2843 := [monotonicity #2834 #2840]: #2842 -#2848 := [trans #2843 #2846]: #2847 -#2851 := [quant-intro #2848]: #2850 -#2822 := (iff #1098 #2821) -#2819 := (iff #1095 #2816) -#2802 := (or #114 #2801) -#2813 := (or #2802 #1069) -#2817 := (iff #2813 #2816) -#2818 := [rewrite]: #2817 -#2814 := (iff #1095 #2813) -#2811 := (iff #456 #2802) -#2803 := (not #2802) -#2806 := (not #2803) -#2809 := (iff #2806 #2802) -#2810 := [rewrite]: #2809 -#2807 := (iff #456 #2806) -#2804 := (iff #117 #2803) -#2805 := [rewrite]: #2804 -#2808 := [monotonicity #2805]: #2807 -#2812 := [trans #2808 #2810]: #2811 -#2815 := [monotonicity #2812]: #2814 -#2820 := [trans #2815 #2818]: #2819 -#2823 := [quant-intro #2820]: #2822 -#2799 := (iff #1051 #2798) -#2796 := (iff #1048 #2793) -#2779 := (or #115 #969) -#2790 := (or #2779 #1043) -#2794 := (iff #2790 #2793) -#2795 := [rewrite]: #2794 -#2791 := (iff #1048 #2790) -#2788 := (iff #1039 #2779) -#2780 := (not #2779) -#2783 := (not #2780) -#2786 := (iff #2783 #2779) -#2787 := [rewrite]: #2786 -#2784 := (iff #1039 #2783) -#2781 := (iff #1034 #2780) -#2782 := [rewrite]: #2781 -#2785 := [monotonicity #2782]: #2784 -#2789 := [trans #2785 #2787]: #2788 -#2792 := [monotonicity #2789]: #2791 -#2797 := [trans #2792 #2795]: #2796 -#2800 := [quant-intro #2797]: #2799 -#3265 := [monotonicity #2800 #2823 #2851 #2879 #3262]: #3264 -#3278 := [trans #3265 #3276]: #3277 -#2777 := (iff #2257 #2774) -#2769 := (and #1651 #2217 #2766) -#2775 := (iff #2769 #2774) -#2776 := [rewrite]: #2775 -#2770 := (iff #2257 #2769) -#2767 := (iff #2251 #2766) -#2764 := (iff #2248 #2755) -#2756 := (not #2755) -#2759 := (not #2756) -#2762 := (iff #2759 #2755) -#2763 := [rewrite]: #2762 -#2760 := (iff #2248 #2759) -#2757 := (iff #2245 #2756) -#2758 := [rewrite]: #2757 -#2761 := [monotonicity #2758]: #2760 -#2765 := [trans #2761 #2763]: #2764 -#2768 := [quant-intro #2765]: #2767 -#2771 := [monotonicity #2768]: #2770 -#2778 := [trans #2771 #2776]: #2777 -#3281 := [monotonicity #2778 #3278]: #3280 -#2752 := (iff #987 #2751) -#2749 := (iff #984 #2746) -#2732 := (or #75 #969) -#2743 := (or #2732 #980) -#2747 := (iff #2743 #2746) -#2748 := [rewrite]: #2747 -#2744 := (iff #984 #2743) -#2741 := (iff #976 #2732) -#2733 := (not #2732) -#2736 := (not #2733) -#2739 := (iff #2736 #2732) -#2740 := [rewrite]: #2739 -#2737 := (iff #976 #2736) -#2734 := (iff #973 #2733) -#2735 := [rewrite]: #2734 -#2738 := [monotonicity #2735]: #2737 -#2742 := [trans #2738 #2740]: #2741 -#2745 := [monotonicity #2742]: #2744 -#2750 := [trans #2745 #2748]: #2749 -#2753 := [quant-intro #2750]: #2752 -#3284 := [monotonicity #2753 #3281]: #3283 -#3292 := [trans #3284 #3290]: #3291 -#2730 := (iff #2211 #2729) -#2727 := (iff #2208 #2724) -#2710 := (or #1618 #2709) -#2721 := (or #2710 #2205) -#2725 := (iff #2721 #2724) -#2726 := [rewrite]: #2725 -#2722 := (iff #2208 #2721) -#2719 := (iff #2198 #2710) -#2711 := (not #2710) -#2714 := (not #2711) -#2717 := (iff #2714 #2710) -#2718 := [rewrite]: #2717 -#2715 := (iff #2198 #2714) -#2712 := (iff #2195 #2711) -#2713 := [rewrite]: #2712 -#2716 := [monotonicity #2713]: #2715 -#2720 := [trans #2716 #2718]: #2719 -#2723 := [monotonicity #2720]: #2722 -#2728 := [trans #2723 #2726]: #2727 -#2731 := [monotonicity #2728]: #2730 -#3295 := [monotonicity #2731 #3292]: #3294 -#2707 := (iff #961 #2706) -#2704 := (iff #958 #2701) -#1721 := (or #74 #1898) -#2698 := (or #1721 #954) -#2702 := (iff #2698 #2701) -#2703 := [rewrite]: #2702 -#2699 := (iff #958 #2698) -#2696 := (iff #432 #1721) -#1722 := (not #1721) -#2691 := (not #1722) -#2694 := (iff #2691 #1721) -#2695 := [rewrite]: #2694 -#2692 := (iff #432 #2691) -#2167 := (iff #85 #1722) -#2690 := [rewrite]: #2167 -#2693 := [monotonicity #2690]: #2692 -#2697 := [trans #2693 #2695]: #2696 -#2700 := [monotonicity #2697]: #2699 -#2705 := [trans #2700 #2703]: #2704 -#2708 := [quant-intro #2705]: #2707 -#3298 := [monotonicity #2708 #3295]: #3297 -#3306 := [trans #3298 #3304]: #3305 -#2023 := (iff #2192 #2022) -#1694 := (iff #2189 #1948) -#1598 := (or #1597 #1589) -#1572 := (or #1598 #2184) -#1850 := (iff #1572 #1948) -#1851 := [rewrite]: #1850 -#1573 := (iff #2189 #1572) -#1992 := (iff #2173 #1598) -#1967 := (not #1598) -#1929 := (not #1967) -#1815 := (iff #1929 #1598) -#1816 := [rewrite]: #1815 -#1627 := (iff #2173 #1929) -#1968 := (iff #2170 #1967) -#1928 := [rewrite]: #1968 -#1628 := [monotonicity #1928]: #1627 -#1993 := [trans #1628 #1816]: #1992 -#1947 := [monotonicity #1993]: #1573 -#1695 := [trans #1947 #1851]: #1694 -#1897 := [monotonicity #1695]: #2023 -#3309 := [monotonicity #1897 #3306]: #3308 -#3312 := [monotonicity #3309]: #3311 -#3319 := [trans #3312 #3317]: #3318 -#3322 := [monotonicity #3319]: #3321 -#3325 := [monotonicity #3322]: #3324 -#3332 := [trans #3325 #3330]: #3331 -#3335 := [monotonicity #3332]: #3334 -#2037 := (+ #2036 #2034) -#2038 := (= #2037 0::int) -#2041 := (and #216 #2040 #2038) -#2058 := (not #2041) -#2061 := (forall (vars (?x76 T2)) #2058) -#2046 := (= ?x75!20 uf_11) -#2047 := (not #2046) -#2048 := (and #2047 #2045) -#2049 := (not #2048) -#2055 := (not #2049) -#2065 := (and #2055 #2061) -#2070 := (and #1368 #2065) -#2004 := (* -1::int #2003) -#2006 := (+ #2005 #2004) -#2009 := (+ #2008 #2006) -#2010 := (>= #2009 0::int) -#2016 := (and #2015 #2014) -#2017 := (not #2016) -#2018 := (or #2017 #2010) -#2019 := (not #2018) -#2074 := (or #2019 #2070) -#2078 := (and #1344 #2074) -#1979 := (* -1::int #1978) -#1981 := (+ #1980 #1979) -#1982 := (>= #1981 0::int) -#1986 := (and #1985 #1983) -#1987 := (not #1986) -#1988 := (or #1987 #1982) -#1989 := (not #1988) -#2082 := (or #1989 #2078) -#2086 := (and #1330 #2082) -#2090 := (or #1964 #2086) -#1958 := (not #1324) -#2094 := (and #1958 #2090) -#2098 := (or #1324 #2094) -#2102 := (and #705 #2098) -#1940 := (= #1939 #1938) -#1943 := (or #1942 #1940) -#1944 := (not #1943) -#2106 := (or #1944 #2102) -#2110 := (and #1316 #2106) -#1921 := (* -1::int #1920) -#1923 := (+ #1922 #1921) -#1924 := (>= #1923 0::int) -#1925 := (not #1924) -#2114 := (or #1925 #2110) -#1894 := (and #1893 #1891) -#1913 := (and #184 #192 #1894 #1257 #1268 #1278 #1283) -#2118 := (and #1913 #2114) -#1829 := (* -1::int #1828) -#1831 := (+ #1830 #1829) -#1834 := (+ #1833 #1831) -#1835 := (>= #1834 0::int) -#1844 := (and #1843 #1839) -#1845 := (not #1844) -#1846 := (or #1845 #1835) -#1847 := (not #1846) -#1866 := (or #1847 #1862) -#1805 := (+ #1804 #1152) -#1808 := (+ #1807 #1805) -#1809 := (= #1808 0::int) -#1810 := (>= #1805 0::int) -#1811 := (not #1810) -#1812 := (and #1811 #1809) -#1817 := (or #1161 #1812) -#1820 := (forall (vars (?x49 T2)) #1817) -#1870 := (and #1820 #1866) -#1769 := (+ #1768 #1766) -#1770 := (= #1769 0::int) -#1773 := (and #1772 #1770) -#1789 := (not #1773) -#1792 := (forall (vars (?x50 T2)) #1789) -#1778 := (= ?x49!8 uf_11) -#1779 := (not #1778) -#1780 := (and #1779 #1777) -#1781 := (not #1780) -#1786 := (not #1781) -#1796 := (and #1786 #1792) -#1874 := (or #1796 #1870) -#1757 := (and #149 #154 #530 #533 #1754) -#1878 := (and #1757 #1874) -#2122 := (or #1878 #2118) -#1710 := (+ #1709 #1054) -#1711 := (>= #1710 0::int) -#1712 := (not #1711) -#1715 := (+ #1714 #1710) -#1716 := (= #1715 0::int) -#1718 := (and #1717 #1716 #1712) -#1723 := (or #1063 #1718) -#1726 := (forall (vars (?x46 T2)) #1723) -#1683 := (+ #993 #1682) -#1685 := (+ #1684 #1683) -#1686 := (= #1685 0::int) -#1687 := (+ #1684 #993) -#1688 := (>= #1687 0::int) -#1689 := (not #1688) -#1691 := (and #1690 #1689 #1686) -#1696 := (or #1002 #1691) -#1699 := (forall (vars (?x37 T2)) #1696) -#1737 := (and #109 #1699 #1051 #1726 #1098 #1104) -#2126 := (and #1737 #2122) -#1641 := (+ #1640 #1638) -#1642 := (+ #66 #1641) -#1643 := (= #1642 0::int) -#1647 := (and #74 #1646 #1643) -#1664 := (not #1647) -#1667 := (forall (vars (?x38 T2)) #1664) -#1652 := (= ?x37!5 uf_11) -#1653 := (not #1652) -#1654 := (and #1653 #1651) -#1655 := (not #1654) -#1661 := (not #1655) -#1671 := (and #1661 #1667) -#2130 := (or #1671 #2126) -#2134 := (and #987 #2130) -#1612 := (+ #1611 #1609) -#1614 := (+ #1613 #1612) -#1615 := (>= #1614 0::int) -#1621 := (and #1620 #1619) -#1622 := (not #1621) -#1623 := (or #1622 #1615) -#1624 := (not #1623) -#2138 := (or #1624 #2134) -#2142 := (and #961 #2138) -#1584 := (* -1::int #1583) -#1586 := (+ #1585 #1584) -#1587 := (>= #1586 0::int) -#1591 := (and #1590 #1588) -#1592 := (not #1591) -#1593 := (or #1592 #1587) -#1594 := (not #1593) -#2146 := (or #1594 #2142) -#2150 := (and #946 #2146) -#2154 := (or #1569 #2150) -#1523 := (not #940) -#2158 := (and #1523 #2154) -#2162 := (or #940 #2158) -#2688 := (iff #2162 #2687) -#2685 := (iff #2158 #2684) -#2682 := (iff #2154 #2681) -#2679 := (iff #2150 #2678) -#2676 := (iff #2146 #2675) -#2673 := (iff #2142 #2672) -#2670 := (iff #2138 #2669) -#2667 := (iff #2134 #2666) -#2664 := (iff #2130 #2663) -#2661 := (iff #2126 #2658) -#2652 := (and #109 #2299 #1051 #2339 #1098 #1104) -#2655 := (and #2652 #2649) -#2659 := (iff #2655 #2658) -#2660 := [rewrite]: #2659 -#2656 := (iff #2126 #2655) -#2650 := (iff #2122 #2649) -#2647 := (iff #2118 #2644) -#2641 := (and #1913 #2638) -#2645 := (iff #2641 #2644) -#2646 := [rewrite]: #2645 -#2642 := (iff #2118 #2641) -#2639 := (iff #2114 #2638) -#2636 := (iff #2110 #2635) -#2633 := (iff #2106 #2632) -#2630 := (iff #2102 #2629) -#2627 := (iff #2098 #2626) -#2624 := (iff #2094 #2623) -#2621 := (iff #2090 #2620) -#2618 := (iff #2086 #2617) -#2615 := (iff #2082 #2614) -#2612 := (iff #2078 #2611) -#2609 := (iff #2074 #2608) -#2606 := (iff #2070 #2603) -#2566 := (and #2045 #2560) -#2597 := (and #2566 #2594) -#2600 := (and #1368 #2597) -#2604 := (iff #2600 #2603) -#2605 := [rewrite]: #2604 -#2601 := (iff #2070 #2600) -#2598 := (iff #2065 #2597) -#2595 := (iff #2061 #2594) -#2592 := (iff #2058 #2591) -#2589 := (iff #2041 #2588) -#2586 := (iff #2038 #2585) -#2583 := (= #2037 #2582) -#2584 := [rewrite]: #2583 -#2587 := [monotonicity #2584]: #2586 -#2590 := [monotonicity #2587]: #2589 -#2593 := [monotonicity #2590]: #2592 -#2596 := [quant-intro #2593]: #2595 -#2579 := (iff #2055 #2566) -#2571 := (not #2566) -#2574 := (not #2571) -#2577 := (iff #2574 #2566) -#2578 := [rewrite]: #2577 -#2575 := (iff #2055 #2574) -#2572 := (iff #2049 #2571) -#2569 := (iff #2048 #2566) -#2563 := (and #2560 #2045) -#2567 := (iff #2563 #2566) -#2568 := [rewrite]: #2567 -#2564 := (iff #2048 #2563) -#2561 := (iff #2047 #2560) -#2558 := (iff #2046 #2557) -#2559 := [rewrite]: #2558 -#2562 := [monotonicity #2559]: #2561 -#2565 := [monotonicity #2562]: #2564 -#2570 := [trans #2565 #2568]: #2569 -#2573 := [monotonicity #2570]: #2572 -#2576 := [monotonicity #2573]: #2575 -#2580 := [trans #2576 #2578]: #2579 -#2599 := [monotonicity #2580 #2596]: #2598 -#2602 := [monotonicity #2599]: #2601 -#2607 := [trans #2602 #2605]: #2606 -#2555 := (iff #2019 #2554) -#2552 := (iff #2018 #2551) -#2549 := (iff #2010 #2546) -#2536 := (+ #2005 #2008) -#2537 := (+ #2004 #2536) -#2540 := (>= #2537 0::int) -#2547 := (iff #2540 #2546) -#2548 := [rewrite]: #2547 -#2541 := (iff #2010 #2540) -#2538 := (= #2009 #2537) -#2539 := [rewrite]: #2538 -#2542 := [monotonicity #2539]: #2541 -#2550 := [trans #2542 #2548]: #2549 -#2534 := (iff #2017 #2533) -#2531 := (iff #2016 #2530) -#2532 := [rewrite]: #2531 -#2535 := [monotonicity #2532]: #2534 -#2553 := [monotonicity #2535 #2550]: #2552 -#2556 := [monotonicity #2553]: #2555 -#2610 := [monotonicity #2556 #2607]: #2609 -#2613 := [monotonicity #2610]: #2612 -#2528 := (iff #1989 #2527) -#2525 := (iff #1988 #2524) -#2522 := (iff #1982 #2519) -#2511 := (+ #1979 #1980) -#2514 := (>= #2511 0::int) -#2520 := (iff #2514 #2519) -#2521 := [rewrite]: #2520 -#2515 := (iff #1982 #2514) -#2512 := (= #1981 #2511) -#2513 := [rewrite]: #2512 -#2516 := [monotonicity #2513]: #2515 -#2523 := [trans #2516 #2521]: #2522 -#2509 := (iff #1987 #2508) -#2506 := (iff #1986 #2505) -#2507 := [rewrite]: #2506 -#2510 := [monotonicity #2507]: #2509 -#2526 := [monotonicity #2510 #2523]: #2525 -#2529 := [monotonicity #2526]: #2528 -#2616 := [monotonicity #2529 #2613]: #2615 -#2619 := [monotonicity #2616]: #2618 -#2622 := [monotonicity #2619]: #2621 -#2503 := (iff #1958 #220) -#2504 := [rewrite]: #2503 -#2625 := [monotonicity #2504 #2622]: #2624 -#2628 := [monotonicity #2625]: #2627 -#2631 := [monotonicity #2628]: #2630 -#2501 := (iff #1944 #2500) -#2498 := (iff #1943 #2497) -#2495 := (iff #1940 #2494) -#2496 := [rewrite]: #2495 -#2499 := [monotonicity #2496]: #2498 -#2502 := [monotonicity #2499]: #2501 -#2634 := [monotonicity #2502 #2631]: #2633 -#2637 := [monotonicity #2634]: #2636 -#2492 := (iff #1925 #2491) -#2489 := (iff #1924 #2486) -#2478 := (+ #1921 #1922) -#2481 := (>= #2478 0::int) -#2487 := (iff #2481 #2486) -#2488 := [rewrite]: #2487 -#2482 := (iff #1924 #2481) -#2479 := (= #1923 #2478) -#2480 := [rewrite]: #2479 -#2483 := [monotonicity #2480]: #2482 -#2490 := [trans #2483 #2488]: #2489 -#2493 := [monotonicity #2490]: #2492 -#2640 := [monotonicity #2493 #2637]: #2639 -#2643 := [monotonicity #2640]: #2642 -#2648 := [trans #2643 #2646]: #2647 -#2476 := (iff #1878 #2473) -#2470 := (and #1757 #2467) -#2474 := (iff #2470 #2473) -#2475 := [rewrite]: #2474 -#2471 := (iff #1878 #2470) -#2468 := (iff #1874 #2467) -#2465 := (iff #1870 #2464) -#2462 := (iff #1866 #2459) -#2456 := (or #2453 #1862) -#2460 := (iff #2456 #2459) -#2461 := [rewrite]: #2460 -#2457 := (iff #1866 #2456) -#2454 := (iff #1847 #2453) -#2451 := (iff #1846 #2450) -#2448 := (iff #1835 #2445) -#2436 := (+ #1830 #1833) -#2437 := (+ #1829 #2436) -#2440 := (>= #2437 0::int) -#2446 := (iff #2440 #2445) -#2447 := [rewrite]: #2446 -#2441 := (iff #1835 #2440) -#2438 := (= #1834 #2437) -#2439 := [rewrite]: #2438 -#2442 := [monotonicity #2439]: #2441 -#2449 := [trans #2442 #2447]: #2448 -#2434 := (iff #1845 #2433) -#2431 := (iff #1844 #2430) -#2432 := [rewrite]: #2431 -#2435 := [monotonicity #2432]: #2434 -#2452 := [monotonicity #2435 #2449]: #2451 -#2455 := [monotonicity #2452]: #2454 -#2458 := [monotonicity #2455]: #2457 -#2463 := [trans #2458 #2461]: #2462 -#2428 := (iff #1820 #2427) -#2425 := (iff #1817 #2424) -#2422 := (iff #1812 #2421) -#2419 := (iff #1809 #2416) -#2406 := (+ #1804 #1807) -#2407 := (+ #1152 #2406) -#2410 := (= #2407 0::int) -#2417 := (iff #2410 #2416) -#2418 := [rewrite]: #2417 -#2411 := (iff #1809 #2410) -#2408 := (= #1808 #2407) -#2409 := [rewrite]: #2408 -#2412 := [monotonicity #2409]: #2411 -#2420 := [trans #2412 #2418]: #2419 -#2404 := (iff #1811 #2403) -#2401 := (iff #1810 #2398) -#2390 := (+ #1152 #1804) -#2393 := (>= #2390 0::int) -#2399 := (iff #2393 #2398) -#2400 := [rewrite]: #2399 -#2394 := (iff #1810 #2393) -#2391 := (= #1805 #2390) -#2392 := [rewrite]: #2391 -#2395 := [monotonicity #2392]: #2394 -#2402 := [trans #2395 #2400]: #2401 -#2405 := [monotonicity #2402]: #2404 -#2423 := [monotonicity #2405 #2420]: #2422 -#2426 := [monotonicity #2423]: #2425 -#2429 := [quant-intro #2426]: #2428 -#2466 := [monotonicity #2429 #2463]: #2465 -#2388 := (iff #1796 #2385) -#2351 := (and #1777 #2345) -#2382 := (and #2351 #2379) -#2386 := (iff #2382 #2385) -#2387 := [rewrite]: #2386 -#2383 := (iff #1796 #2382) -#2380 := (iff #1792 #2379) -#2377 := (iff #1789 #2376) -#2374 := (iff #1773 #2373) -#2371 := (iff #1770 #2370) -#2368 := (= #1769 #2367) -#2369 := [rewrite]: #2368 -#2372 := [monotonicity #2369]: #2371 -#2375 := [monotonicity #2372]: #2374 -#2378 := [monotonicity #2375]: #2377 -#2381 := [quant-intro #2378]: #2380 -#2364 := (iff #1786 #2351) -#2356 := (not #2351) -#2359 := (not #2356) -#2362 := (iff #2359 #2351) -#2363 := [rewrite]: #2362 -#2360 := (iff #1786 #2359) -#2357 := (iff #1781 #2356) -#2354 := (iff #1780 #2351) -#2348 := (and #2345 #1777) -#2352 := (iff #2348 #2351) -#2353 := [rewrite]: #2352 -#2349 := (iff #1780 #2348) -#2346 := (iff #1779 #2345) -#2343 := (iff #1778 #2342) -#2344 := [rewrite]: #2343 -#2347 := [monotonicity #2344]: #2346 -#2350 := [monotonicity #2347]: #2349 -#2355 := [trans #2350 #2353]: #2354 -#2358 := [monotonicity #2355]: #2357 -#2361 := [monotonicity #2358]: #2360 -#2365 := [trans #2361 #2363]: #2364 -#2384 := [monotonicity #2365 #2381]: #2383 -#2389 := [trans #2384 #2387]: #2388 -#2469 := [monotonicity #2389 #2466]: #2468 -#2472 := [monotonicity #2469]: #2471 -#2477 := [trans #2472 #2475]: #2476 -#2651 := [monotonicity #2477 #2648]: #2650 -#2653 := (iff #1737 #2652) -#2340 := (iff #1726 #2339) -#2337 := (iff #1723 #2336) -#2334 := (iff #1718 #2333) -#2331 := (iff #1712 #2330) -#2328 := (iff #1711 #2325) -#2318 := (+ #1054 #1709) -#2321 := (>= #2318 0::int) -#2326 := (iff #2321 #2325) -#2327 := [rewrite]: #2326 -#2322 := (iff #1711 #2321) -#2319 := (= #1710 #2318) -#2320 := [rewrite]: #2319 -#2323 := [monotonicity #2320]: #2322 -#2329 := [trans #2323 #2327]: #2328 -#2332 := [monotonicity #2329]: #2331 -#2316 := (iff #1716 #2313) -#2302 := (+ #1709 #1714) -#2303 := (+ #1054 #2302) -#2306 := (= #2303 0::int) -#2314 := (iff #2306 #2313) -#2315 := [rewrite]: #2314 -#2307 := (iff #1716 #2306) -#2304 := (= #1715 #2303) -#2305 := [rewrite]: #2304 -#2308 := [monotonicity #2305]: #2307 -#2317 := [trans #2308 #2315]: #2316 -#2335 := [monotonicity #2317 #2332]: #2334 -#2338 := [monotonicity #2335]: #2337 -#2341 := [quant-intro #2338]: #2340 -#2300 := (iff #1699 #2299) -#2297 := (iff #1696 #2296) -#2294 := (iff #1691 #2293) -#2291 := (iff #1686 #2288) -#2278 := (+ #1682 #1684) -#2279 := (+ #993 #2278) -#2282 := (= #2279 0::int) -#2289 := (iff #2282 #2288) -#2290 := [rewrite]: #2289 -#2283 := (iff #1686 #2282) -#2280 := (= #1685 #2279) -#2281 := [rewrite]: #2280 -#2284 := [monotonicity #2281]: #2283 -#2292 := [trans #2284 #2290]: #2291 -#2276 := (iff #1689 #2275) -#2273 := (iff #1688 #2270) -#2262 := (+ #993 #1684) -#2265 := (>= #2262 0::int) -#2271 := (iff #2265 #2270) -#2272 := [rewrite]: #2271 -#2266 := (iff #1688 #2265) -#2263 := (= #1687 #2262) -#2264 := [rewrite]: #2263 -#2267 := [monotonicity #2264]: #2266 -#2274 := [trans #2267 #2272]: #2273 -#2277 := [monotonicity #2274]: #2276 -#2295 := [monotonicity #2277 #2292]: #2294 -#2298 := [monotonicity #2295]: #2297 -#2301 := [quant-intro #2298]: #2300 -#2654 := [monotonicity #2301 #2341]: #2653 -#2657 := [monotonicity #2654 #2651]: #2656 -#2662 := [trans #2657 #2660]: #2661 -#2260 := (iff #1671 #2257) -#2223 := (and #1651 #2217) -#2254 := (and #2223 #2251) -#2258 := (iff #2254 #2257) -#2259 := [rewrite]: #2258 -#2255 := (iff #1671 #2254) -#2252 := (iff #1667 #2251) -#2249 := (iff #1664 #2248) -#2246 := (iff #1647 #2245) -#2243 := (iff #1643 #2242) -#2240 := (= #1642 #2239) -#2241 := [rewrite]: #2240 -#2244 := [monotonicity #2241]: #2243 -#2247 := [monotonicity #2244]: #2246 -#2250 := [monotonicity #2247]: #2249 -#2253 := [quant-intro #2250]: #2252 -#2236 := (iff #1661 #2223) -#2228 := (not #2223) -#2231 := (not #2228) -#2234 := (iff #2231 #2223) -#2235 := [rewrite]: #2234 -#2232 := (iff #1661 #2231) -#2229 := (iff #1655 #2228) -#2226 := (iff #1654 #2223) -#2220 := (and #2217 #1651) -#2224 := (iff #2220 #2223) -#2225 := [rewrite]: #2224 -#2221 := (iff #1654 #2220) -#2218 := (iff #1653 #2217) -#2215 := (iff #1652 #2214) -#2216 := [rewrite]: #2215 -#2219 := [monotonicity #2216]: #2218 -#2222 := [monotonicity #2219]: #2221 -#2227 := [trans #2222 #2225]: #2226 -#2230 := [monotonicity #2227]: #2229 -#2233 := [monotonicity #2230]: #2232 -#2237 := [trans #2233 #2235]: #2236 -#2256 := [monotonicity #2237 #2253]: #2255 -#2261 := [trans #2256 #2259]: #2260 -#2665 := [monotonicity #2261 #2662]: #2664 -#2668 := [monotonicity #2665]: #2667 -#2212 := (iff #1624 #2211) -#2209 := (iff #1623 #2208) -#2206 := (iff #1615 #2205) -#2203 := (= #1614 #2202) -#2204 := [rewrite]: #2203 -#2207 := [monotonicity #2204]: #2206 -#2199 := (iff #1622 #2198) -#2196 := (iff #1621 #2195) -#2197 := [rewrite]: #2196 -#2200 := [monotonicity #2197]: #2199 -#2210 := [monotonicity #2200 #2207]: #2209 -#2213 := [monotonicity #2210]: #2212 -#2671 := [monotonicity #2213 #2668]: #2670 -#2674 := [monotonicity #2671]: #2673 -#2193 := (iff #1594 #2192) -#2190 := (iff #1593 #2189) -#2187 := (iff #1587 #2184) -#2176 := (+ #1584 #1585) -#2179 := (>= #2176 0::int) -#2185 := (iff #2179 #2184) -#2186 := [rewrite]: #2185 -#2180 := (iff #1587 #2179) -#2177 := (= #1586 #2176) -#2178 := [rewrite]: #2177 -#2181 := [monotonicity #2178]: #2180 -#2188 := [trans #2181 #2186]: #2187 -#2174 := (iff #1592 #2173) -#2171 := (iff #1591 #2170) -#2172 := [rewrite]: #2171 -#2175 := [monotonicity #2172]: #2174 -#2191 := [monotonicity #2175 #2188]: #2190 -#2194 := [monotonicity #2191]: #2193 -#2677 := [monotonicity #2194 #2674]: #2676 -#2680 := [monotonicity #2677]: #2679 -#2683 := [monotonicity #2680]: #2682 -#2168 := (iff #1523 #81) -#2169 := [rewrite]: #2168 -#2686 := [monotonicity #2169 #2683]: #2685 -#2689 := [monotonicity #2686]: #2688 -#1496 := (not #1480) -#2163 := (~ #1496 #2162) -#2159 := (not #1477) -#2160 := (~ #2159 #2158) -#2155 := (not #1474) -#2156 := (~ #2155 #2154) -#2151 := (not #1471) -#2152 := (~ #2151 #2150) -#2147 := (not #1468) -#2148 := (~ #2147 #2146) -#2143 := (not #1465) -#2144 := (~ #2143 #2142) -#2139 := (not #1462) -#2140 := (~ #2139 #2138) -#2135 := (not #1459) -#2136 := (~ #2135 #2134) -#2131 := (not #1456) -#2132 := (~ #2131 #2130) -#2127 := (not #1453) -#2128 := (~ #2127 #2126) -#2123 := (not #1450) -#2124 := (~ #2123 #2122) -#2119 := (not #1447) -#2120 := (~ #2119 #2118) -#2115 := (not #1444) -#2116 := (~ #2115 #2114) -#2111 := (not #1441) -#2112 := (~ #2111 #2110) -#2107 := (not #1438) -#2108 := (~ #2107 #2106) -#2103 := (not #1435) -#2104 := (~ #2103 #2102) -#2099 := (not #1432) -#2100 := (~ #2099 #2098) -#2095 := (not #1429) -#2096 := (~ #2095 #2094) -#2091 := (not #1426) -#2092 := (~ #2091 #2090) -#2087 := (not #1423) -#2088 := (~ #2087 #2086) -#2083 := (not #1420) -#2084 := (~ #2083 #2082) -#2079 := (not #1417) -#2080 := (~ #2079 #2078) -#2075 := (not #1414) -#2076 := (~ #2075 #2074) -#2071 := (not #1411) -#2072 := (~ #2071 #2070) -#2052 := (not #1408) -#2068 := (~ #2052 #2065) -#2042 := (exists (vars (?x76 T2)) #2041) -#2050 := (or #2049 #2042) -#2051 := (not #2050) -#2066 := (~ #2051 #2065) -#2062 := (not #2042) -#2063 := (~ #2062 #2061) -#2059 := (~ #2058 #2058) -#2060 := [refl]: #2059 -#2064 := [nnf-neg #2060]: #2063 -#2056 := (~ #2055 #2055) -#2057 := [refl]: #2056 -#2067 := [nnf-neg #2057 #2064]: #2066 -#2053 := (~ #2052 #2051) -#2054 := [sk]: #2053 -#2069 := [trans #2054 #2067]: #2068 -#2028 := (not #1371) -#2029 := (~ #2028 #1368) -#2026 := (~ #1368 #1368) -#2024 := (~ #1365 #1365) -#2025 := [refl]: #2024 -#2027 := [nnf-pos #2025]: #2026 -#2030 := [nnf-neg #2027]: #2029 -#2073 := [nnf-neg #2030 #2069]: #2072 -#2020 := (~ #1371 #2019) -#2021 := [sk]: #2020 -#2077 := [nnf-neg #2021 #2073]: #2076 -#1998 := (not #1347) -#1999 := (~ #1998 #1344) -#1996 := (~ #1344 #1344) -#1994 := (~ #1341 #1341) -#1995 := [refl]: #1994 -#1997 := [nnf-pos #1995]: #1996 -#2000 := [nnf-neg #1997]: #1999 -#2081 := [nnf-neg #2000 #2077]: #2080 -#1990 := (~ #1347 #1989) -#1991 := [sk]: #1990 -#2085 := [nnf-neg #1991 #2081]: #2084 -#1973 := (not #1333) -#1974 := (~ #1973 #1330) -#1971 := (~ #1330 #1330) -#1969 := (~ #1327 #1327) -#1970 := [refl]: #1969 -#1972 := [nnf-pos #1970]: #1971 -#1975 := [nnf-neg #1972]: #1974 -#2089 := [nnf-neg #1975 #2085]: #2088 -#1965 := (~ #1333 #1964) -#1966 := [sk]: #1965 -#2093 := [nnf-neg #1966 #2089]: #2092 -#1959 := (~ #1958 #1958) -#1960 := [refl]: #1959 -#2097 := [nnf-neg #1960 #2093]: #2096 -#1956 := (~ #1324 #1324) -#1957 := [refl]: #1956 -#2101 := [nnf-neg #1957 #2097]: #2100 -#1953 := (not #814) -#1954 := (~ #1953 #705) -#1951 := (~ #705 #705) -#1949 := (~ #700 #700) -#1950 := [refl]: #1949 -#1952 := [nnf-pos #1950]: #1951 -#1955 := [nnf-neg #1952]: #1954 -#2105 := [nnf-neg #1955 #2101]: #2104 -#1945 := (~ #814 #1944) -#1946 := [sk]: #1945 -#2109 := [nnf-neg #1946 #2105]: #2108 -#1934 := (not #1319) -#1935 := (~ #1934 #1316) -#1932 := (~ #1316 #1316) -#1930 := (~ #1312 #1312) -#1931 := [refl]: #1930 -#1933 := [nnf-pos #1931]: #1932 -#1936 := [nnf-neg #1933]: #1935 -#2113 := [nnf-neg #1936 #2109]: #2112 -#1926 := (~ #1319 #1925) -#1927 := [sk]: #1926 -#2117 := [nnf-neg #1927 #2113]: #2116 -#1916 := (not #1309) -#1917 := (~ #1916 #1913) -#1914 := (~ #1304 #1913) -#1911 := (~ #1283 #1283) -#1912 := [refl]: #1911 -#1909 := (~ #1278 #1278) -#1907 := (~ #1275 #1275) -#1908 := [refl]: #1907 -#1910 := [nnf-pos #1908]: #1909 -#1905 := (~ #1268 #1268) -#1903 := (~ #1263 #1263) -#1904 := [refl]: #1903 -#1906 := [nnf-pos #1904]: #1905 -#1901 := (~ #1257 #1257) -#1899 := (~ #1254 #1254) -#1900 := [refl]: #1899 -#1902 := [nnf-pos #1900]: #1901 -#1895 := (~ #1135 #1894) -#1896 := [sk]: #1895 -#1884 := (~ #192 #192) -#1885 := [refl]: #1884 -#1882 := (~ #184 #184) -#1883 := [refl]: #1882 -#1915 := [monotonicity #1883 #1885 #1896 #1902 #1906 #1910 #1912]: #1914 -#1918 := [nnf-neg #1915]: #1917 -#2121 := [nnf-neg #1918 #2117]: #2120 -#1879 := (not #1226) -#1880 := (~ #1879 #1878) -#1875 := (not #1223) -#1876 := (~ #1875 #1874) -#1871 := (not #1220) -#1872 := (~ #1871 #1870) -#1867 := (not #1217) -#1868 := (~ #1867 #1866) -#1863 := (not #1212) -#1864 := (~ #1863 #1862) -#1859 := (not #1204) -#1860 := (~ #1859 #1201) -#1857 := (~ #1201 #1201) -#1855 := (~ #1198 #1198) -#1856 := [refl]: #1855 -#1858 := [nnf-pos #1856]: #1857 -#1861 := [nnf-neg #1858]: #1860 -#1853 := (~ #1852 #1852) -#1854 := [refl]: #1853 -#1865 := [nnf-neg #1854 #1861]: #1864 -#1848 := (~ #1204 #1847) -#1849 := [sk]: #1848 -#1869 := [nnf-neg #1849 #1865]: #1868 -#1823 := (not #1186) -#1824 := (~ #1823 #1820) -#1821 := (~ #1183 #1820) -#1818 := (~ #1180 #1817) -#1813 := (~ #1177 #1812) -#1814 := [sk]: #1813 -#1801 := (~ #1161 #1161) -#1802 := [refl]: #1801 -#1819 := [monotonicity #1802 #1814]: #1818 -#1822 := [nnf-pos #1819]: #1821 -#1825 := [nnf-neg #1822]: #1824 -#1873 := [nnf-neg #1825 #1869]: #1872 -#1799 := (~ #1186 #1796) -#1774 := (exists (vars (?x50 T2)) #1773) -#1782 := (or #1781 #1774) -#1783 := (not #1782) -#1797 := (~ #1783 #1796) -#1793 := (not #1774) -#1794 := (~ #1793 #1792) -#1790 := (~ #1789 #1789) -#1791 := [refl]: #1790 -#1795 := [nnf-neg #1791]: #1794 -#1787 := (~ #1786 #1786) -#1788 := [refl]: #1787 -#1798 := [nnf-neg #1788 #1795]: #1797 -#1784 := (~ #1186 #1783) -#1785 := [sk]: #1784 -#1800 := [trans #1785 #1798]: #1799 -#1877 := [nnf-neg #1800 #1873]: #1876 -#1760 := (not #1149) -#1761 := (~ #1760 #1757) -#1758 := (~ #1144 #1757) -#1755 := (~ #1138 #1754) -#1752 := (~ #1751 #1751) -#1753 := [refl]: #1752 -#1756 := [nnf-neg #1753]: #1755 -#1749 := (~ #533 #533) -#1750 := [refl]: #1749 -#1747 := (~ #530 #530) -#1748 := [refl]: #1747 -#1745 := (~ #154 #154) -#1746 := [refl]: #1745 -#1743 := (~ #149 #149) -#1744 := [refl]: #1743 -#1759 := [monotonicity #1744 #1746 #1748 #1750 #1756]: #1758 -#1762 := [nnf-neg #1759]: #1761 -#1881 := [nnf-neg #1762 #1877]: #1880 -#2125 := [nnf-neg #1881 #2121]: #2124 -#1740 := (not #1129) -#1741 := (~ #1740 #1737) -#1738 := (~ #1124 #1737) -#1735 := (~ #1104 #1104) -#1733 := (~ #1101 #1101) -#1734 := [refl]: #1733 -#1736 := [nnf-pos #1734]: #1735 -#1731 := (~ #1098 #1098) -#1729 := (~ #1095 #1095) -#1730 := [refl]: #1729 -#1732 := [nnf-pos #1730]: #1731 -#1727 := (~ #1090 #1726) -#1724 := (~ #1087 #1723) -#1719 := (~ #1084 #1718) -#1720 := [sk]: #1719 -#1706 := (~ #1063 #1063) -#1707 := [refl]: #1706 -#1725 := [monotonicity #1707 #1720]: #1724 -#1728 := [nnf-pos #1725]: #1727 -#1704 := (~ #1051 #1051) -#1702 := (~ #1048 #1048) -#1703 := [refl]: #1702 -#1705 := [nnf-pos #1703]: #1704 -#1700 := (~ #1028 #1699) -#1697 := (~ #1025 #1696) -#1692 := (~ #1022 #1691) -#1693 := [sk]: #1692 -#1678 := (~ #1002 #1002) -#1679 := [refl]: #1678 -#1698 := [monotonicity #1679 #1693]: #1697 -#1701 := [nnf-pos #1698]: #1700 -#1676 := (~ #109 #109) -#1677 := [refl]: #1676 -#1739 := [monotonicity #1677 #1701 #1705 #1728 #1732 #1736]: #1738 -#1742 := [nnf-neg #1739]: #1741 -#2129 := [nnf-neg #1742 #2125]: #2128 -#1658 := (not #1028) -#1674 := (~ #1658 #1671) -#1648 := (exists (vars (?x38 T2)) #1647) -#1656 := (or #1655 #1648) -#1657 := (not #1656) -#1672 := (~ #1657 #1671) -#1668 := (not #1648) -#1669 := (~ #1668 #1667) -#1665 := (~ #1664 #1664) -#1666 := [refl]: #1665 -#1670 := [nnf-neg #1666]: #1669 -#1662 := (~ #1661 #1661) -#1663 := [refl]: #1662 -#1673 := [nnf-neg #1663 #1670]: #1672 -#1659 := (~ #1658 #1657) -#1660 := [sk]: #1659 -#1675 := [trans #1660 #1673]: #1674 -#2133 := [nnf-neg #1675 #2129]: #2132 -#1633 := (not #990) -#1634 := (~ #1633 #987) -#1631 := (~ #987 #987) -#1629 := (~ #984 #984) -#1630 := [refl]: #1629 -#1632 := [nnf-pos #1630]: #1631 -#1635 := [nnf-neg #1632]: #1634 -#2137 := [nnf-neg #1635 #2133]: #2136 -#1625 := (~ #990 #1624) -#1626 := [sk]: #1625 -#2141 := [nnf-neg #1626 #2137]: #2140 -#1603 := (not #964) -#1604 := (~ #1603 #961) -#1601 := (~ #961 #961) -#1599 := (~ #958 #958) -#1600 := [refl]: #1599 -#1602 := [nnf-pos #1600]: #1601 -#1605 := [nnf-neg #1602]: #1604 -#2145 := [nnf-neg #1605 #2141]: #2144 -#1595 := (~ #964 #1594) -#1596 := [sk]: #1595 -#2149 := [nnf-neg #1596 #2145]: #2148 -#1578 := (not #949) -#1579 := (~ #1578 #946) -#1576 := (~ #946 #946) -#1574 := (~ #945 #945) -#1575 := [refl]: #1574 -#1577 := [nnf-pos #1575]: #1576 -#1580 := [nnf-neg #1577]: #1579 -#2153 := [nnf-neg #1580 #2149]: #2152 -#1570 := (~ #949 #1569) -#1571 := [sk]: #1570 -#2157 := [nnf-neg #1571 #2153]: #2156 -#1524 := (~ #1523 #1523) -#1565 := [refl]: #1524 -#2161 := [nnf-neg #1565 #2157]: #2160 -#1563 := (~ #940 #940) -#1564 := [refl]: #1563 -#2164 := [nnf-neg #1564 #2161]: #2163 -#1497 := [not-or-elim #1491]: #1496 -#2165 := [mp~ #1497 #2164]: #2162 -#2166 := [mp #2165 #2689]: #2687 -#3336 := [mp #2166 #3335]: #3333 -#4271 := [mp #3336 #4270]: #4268 -#6202 := [unit-resolution #4271 #4994]: #4265 -#3591 := (or #4262 #4256) -#3434 := [def-axiom]: #3591 -#6203 := [unit-resolution #3434 #6202]: #4256 -#6204 := (or #4259 #4253) -#333 := (<= uf_9 0::int) -#334 := (not #333) -#54 := (< 0::int uf_9) -#335 := (iff #54 #334) -#336 := [rewrite]: #335 -#329 := [asserted]: #54 -#337 := [mp #329 #336]: #334 -#4524 := (* -1::int #1567) -#4525 := (+ uf_9 #4524) -#4534 := (<= #4525 0::int) -#3581 := (= uf_9 #1567) -#3568 := (= uf_11 ?x27!0) -#4428 := (not #3568) -#4541 := (= #1567 0::int) -#4864 := (not #4541) -#4858 := [hypothesis]: #1569 -#4865 := (or #4864 #1568) -#4866 := [th-lemma]: #4865 -#4867 := [unit-resolution #4866 #4858]: #4864 -#4873 := (or #4872 #4428 #4541) -#3582 := (= ?x27!0 uf_11) -#4542 := (not #3582) -#4427 := (or #4542 #4541) -#4874 := (or #4872 #4427) -#4860 := (iff #4874 #4873) -#4550 := (or #4428 #4541) -#4876 := (or #4872 #4550) -#4879 := (iff #4876 #4873) -#4859 := [rewrite]: #4879 -#4877 := (iff #4874 #4876) -#4553 := (iff #4427 #4550) -#4362 := (iff #4542 #4428) -#3573 := (iff #3582 #3568) -#3558 := [rewrite]: #3573 -#4538 := [monotonicity #3558]: #4362 -#4871 := [monotonicity #4538]: #4553 -#4878 := [monotonicity #4871]: #4877 -#4861 := [trans #4878 #4859]: #4860 -#4875 := [quant-inst]: #4874 -#4862 := [mp #4875 #4861]: #4873 -#4868 := [unit-resolution #4862 #3898 #4867]: #4428 -#3560 := (or #3568 #3581) -#3887 := (forall (vars (?x25 T2)) (:pat #3886) #403) -#3890 := (iff #408 #3887) -#3888 := (iff #403 #403) -#3889 := [refl]: #3888 -#3891 := [quant-intro #3889]: #3890 -#1519 := (~ #408 #408) -#1557 := (~ #403 #403) -#1558 := [refl]: #1557 -#1520 := [nnf-pos #1558]: #1519 -#1494 := [and-elim #1492]: #408 -#1559 := [mp~ #1494 #1520]: #408 -#3892 := [mp #1559 #3891]: #3887 -#3569 := (not #3887) -#4289 := (or #3569 #3568 #3581) -#3578 := (or #3582 #3581) -#4290 := (or #3569 #3578) -#4364 := (iff #4290 #4289) -#4292 := (or #3569 #3560) -#4308 := (iff #4292 #4289) -#4363 := [rewrite]: #4308 -#4307 := (iff #4290 #4292) -#3561 := (iff #3578 #3560) -#3565 := [monotonicity #3558]: #3561 -#4288 := [monotonicity #3565]: #4307 -#4365 := [trans #4288 #4363]: #4364 -#4291 := [quant-inst]: #4290 -#4366 := [mp #4291 #4365]: #4289 -#4883 := [unit-resolution #4366 #3892]: #3560 -#4884 := [unit-resolution #4883 #4868]: #3581 -#4909 := (not #3581) -#4910 := (or #4909 #4534) -#4911 := [th-lemma]: #4910 -#4912 := [unit-resolution #4911 #4884]: #4534 -#4863 := (<= #1567 0::int) -#4913 := (or #4863 #1568) -#4908 := [th-lemma]: #4913 -#4914 := [unit-resolution #4908 #4858]: #4863 -#4915 := [th-lemma #4914 #4912 #337]: false -#4916 := [lemma #4915]: #1568 -#3586 := (or #4259 #1569 #4253) -#3587 := [def-axiom]: #3586 -#6205 := [unit-resolution #3587 #4916]: #6204 -#6206 := [unit-resolution #6205 #6203]: #4253 -#3610 := (or #4250 #4244) -#3611 := [def-axiom]: #3610 -#6207 := [unit-resolution #3611 #6206]: #4244 -#5458 := [hypothesis]: #1588 -#3880 := (forall (vars (?x26 T2)) (:pat #3879) #75) -#3883 := (iff #76 #3880) -#3881 := (iff #75 #75) -#3882 := [refl]: #3881 -#3884 := [quant-intro #3882]: #3883 -#1517 := (~ #76 #76) -#1554 := (~ #75 #75) -#1555 := [refl]: #1554 -#1518 := [nnf-pos #1555]: #1517 -#1493 := [and-elim #1492]: #76 -#1556 := [mp~ #1493 #1518]: #76 -#3885 := [mp #1556 #3884]: #3880 -#4999 := (not #3880) -#5000 := (or #4999 #1597) -#5001 := [quant-inst]: #5000 -#5459 := [unit-resolution #5001 #3885 #5458]: false -#5460 := [lemma #5459]: #1597 -#3403 := (or #1948 #1588) -#3488 := [def-axiom]: #3403 -#6208 := [unit-resolution #3488 #5460]: #1948 -#3605 := (or #4247 #2022 #4241) -#3606 := [def-axiom]: #3605 -#6209 := [unit-resolution #3606 #6208 #6207]: #4241 -#3631 := (or #4238 #4232) -#3632 := [def-axiom]: #3631 -#6210 := [unit-resolution #3632 #6209]: #4232 -#5548 := [hypothesis]: #1620 -#5094 := (or #4999 #2709) -#5095 := [quant-inst]: #5094 -#5549 := [unit-resolution #5095 #3885 #5548]: false -#5553 := [lemma #5549]: #2709 -#3474 := (or #2724 #1620) -#3809 := [def-axiom]: #3474 -#6211 := [unit-resolution #3809 #5553]: #2724 -#3627 := (or #4235 #2729 #4229) -#3628 := [def-axiom]: #3627 -#6212 := [unit-resolution #3628 #6211 #6210]: #4229 -#3615 := (or #4226 #4220) -#3616 := [def-axiom]: #3615 -#6213 := [unit-resolution #3616 #6212]: #4220 -#5484 := (= uf_9 #1639) -#5561 := (not #5484) -#5559 := [hypothesis]: #3937 -#3480 := (or #3934 #1651) -#3812 := [def-axiom]: #3480 -#5560 := [unit-resolution #3812 #5559]: #1651 -#5562 := (or #5561 #1650) -#5563 := [th-lemma]: #5562 -#5564 := [unit-resolution #5563 #5560]: #5561 -#3813 := (or #3934 #2217) -#3814 := [def-axiom]: #3813 -#5565 := [unit-resolution #3814 #5559]: #2217 -#5504 := (or #3569 #2214 #5484) -#5485 := (or #1652 #5484) -#5505 := (or #3569 #5485) -#5519 := (iff #5505 #5504) -#5501 := (or #2214 #5484) -#5506 := (or #3569 #5501) -#5509 := (iff #5506 #5504) -#5510 := [rewrite]: #5509 -#5507 := (iff #5505 #5506) -#5502 := (iff #5485 #5501) -#5503 := [monotonicity #2216]: #5502 -#5508 := [monotonicity #5503]: #5507 -#5521 := [trans #5508 #5510]: #5519 -#5500 := [quant-inst]: #5505 -#5522 := [mp #5500 #5521]: #5504 -#5566 := [unit-resolution #5522 #3892 #5565 #5564]: false -#5567 := [lemma #5566]: #3934 -#3649 := (or #4223 #3937 #4217) -#3659 := [def-axiom]: #3649 -#6214 := [unit-resolution #3659 #5567 #6213]: #4217 -#5359 := (or #4214 #4205) -#4367 := (?x47!7 ?x49!8) -#4714 := (uf_4 uf_19 #4367) -#4751 := (* -1::int #4714) -#4368 := (uf_4 uf_14 #4367) -#5011 := (+ #4368 #4751) -#5015 := (<= #5011 0::int) -#5010 := (= #4368 #4714) -#5211 := (= #4714 #4368) -#5206 := [hypothesis]: #4202 -#5207 := [hypothesis]: #4217 -#3644 := (or #4214 #4208) -#3603 := [def-axiom]: #3644 -#5208 := [unit-resolution #3603 #5207]: #4208 -#3678 := (or #4211 #4050 #4205) -#3679 := [def-axiom]: #3678 -#5209 := [unit-resolution #3679 #5208 #5206]: #4050 -#3496 := (or #4047 #533) -#3778 := [def-axiom]: #3496 -#5210 := [unit-resolution #3778 #5209]: #533 -#5205 := [symm #5210]: #151 -#5212 := [monotonicity #5205]: #5211 -#5213 := [symm #5212]: #5010 -#5214 := (not #5010) -#5215 := (or #5214 #5015) -#5268 := [th-lemma]: #5215 -#5269 := [unit-resolution #5268 #5213]: #5015 -#4369 := (* -1::int #4368) -#4353 := (uf_1 #4367 ?x49!8) -#4354 := (uf_10 #4353) -#4355 := (* -1::int #4354) -#4432 := (+ #4355 #4369) -#4301 := (uf_4 uf_14 ?x49!8) -#4433 := (+ #4301 #4432) -#4520 := (<= #4433 0::int) -#4436 := (= #4433 0::int) -#4418 := (not #4436) -#4359 := (up_6 uf_15 #4367) -#4360 := (not #4359) -#4351 := (+ #4301 #4369) -#4352 := (<= #4351 0::int) -#4423 := (or #4352 #4360 #4418) -#4442 := (not #4423) -#4302 := (* -1::int #4301) -#4303 := (+ uf_9 #4302) -#4283 := (<= #4303 0::int) -#4675 := (not #4283) -#3783 := (or #4047 #4041) -#3772 := [def-axiom]: #3783 -#5270 := [unit-resolution #3772 #5209]: #4041 -#3680 := (or #4214 #109) -#3676 := [def-axiom]: #3680 -#5271 := [unit-resolution #3676 #5207]: #109 -#5272 := (= #175 #108) -#5273 := [monotonicity #5205]: #5272 -#5274 := [trans #5273 #5271]: #176 -#3456 := (or #4023 #1852) -#3457 := [def-axiom]: #3456 -#5275 := [unit-resolution #3457 #5274]: #4023 -#3782 := (or #4047 #3983) -#3779 := [def-axiom]: #3782 -#5276 := [unit-resolution #3779 #5209]: #3983 -#3607 := (or #4214 #3949) -#3662 := [def-axiom]: #3607 -#5256 := [unit-resolution #3662 #5207]: #3949 -#4685 := (or #2992 #3954 #3988 #3023) -#4370 := (uf_4 uf_14 ?x54!10) -#4371 := (* -1::int #4370) -#4552 := (+ #1830 #4371) -#4554 := (>= #4552 0::int) -#4551 := (= #1830 #4370) -#4633 := (= #4370 #1830) -#4632 := [hypothesis]: #533 -#4634 := [monotonicity #4632]: #4633 -#4635 := [symm #4634]: #4551 -#4636 := (not #4551) -#4637 := (or #4636 #4554) -#4638 := [th-lemma]: #4637 -#4620 := [unit-resolution #4638 #4635]: #4554 -#3503 := (uf_4 uf_14 ?x53!11) -#3504 := (* -1::int #3503) -#4545 := (+ #1828 #3504) -#4549 := (<= #4545 0::int) -#4544 := (= #1828 #3503) -#4621 := (= #3503 #1828) -#4622 := [monotonicity #4632]: #4621 -#4623 := [symm #4622]: #4544 -#4624 := (not #4544) -#4619 := (or #4624 #4549) -#4625 := [th-lemma]: #4619 -#4626 := [unit-resolution #4625 #4623]: #4549 -#3437 := (not #2445) -#4627 := [hypothesis]: #2997 -#3800 := (or #2992 #3437) -#3802 := [def-axiom]: #3800 -#4628 := [unit-resolution #3802 #4627]: #3437 -#4822 := [hypothesis]: #3983 -#4826 := [hypothesis]: #3949 -#3793 := (or #2992 #1843) -#3799 := [def-axiom]: #3793 -#4629 := [unit-resolution #3799 #4627]: #1843 -#4372 := (+ uf_9 #4371) -#4373 := (<= #4372 0::int) -#4820 := (not #4373) -#3797 := (or #2992 #1839) -#3798 := [def-axiom]: #3797 -#4680 := [unit-resolution #3798 #4627]: #1839 -#4816 := (not #4554) -#4681 := (or #4820 #1838 #4816) -#4682 := [th-lemma]: #4681 -#4683 := [unit-resolution #4682 #4680 #4620]: #4820 -#4815 := (not #4549) -#4830 := (or #4373 #3954 #1842 #3988 #2445 #4815 #4816) -#4446 := (+ #3504 #4370) -#4447 := (+ #1833 #4446) -#4450 := (>= #4447 0::int) -#4814 := (not #4450) -#4811 := [hypothesis]: #4554 -#4812 := [hypothesis]: #4549 -#4813 := [hypothesis]: #3437 -#4817 := (or #4814 #4815 #2445 #4816) -#4818 := [th-lemma]: #4817 -#4819 := [unit-resolution #4818 #4813 #4812 #4811]: #4814 -#4374 := (up_6 uf_15 ?x54!10) -#4821 := [hypothesis]: #4820 -#4376 := (or #4373 #4374) -#4379 := (or #3988 #4373 #4374) -#4375 := (or #4374 #4373) -#4380 := (or #3988 #4375) -#4387 := (iff #4380 #4379) -#4382 := (or #3988 #4376) -#4385 := (iff #4382 #4379) -#4386 := [rewrite]: #4385 -#4383 := (iff #4380 #4382) -#4377 := (iff #4375 #4376) -#4378 := [rewrite]: #4377 -#4384 := [monotonicity #4378]: #4383 -#4388 := [trans #4384 #4386]: #4387 -#4381 := [quant-inst]: #4380 -#4389 := [mp #4381 #4388]: #4379 -#4823 := [unit-resolution #4389 #4822]: #4376 -#4824 := [unit-resolution #4823 #4821]: #4374 -#4444 := (not #4374) -#4827 := (or #4444 #4450) -#4825 := [hypothesis]: #1843 -#4461 := (or #3954 #1842 #4444 #4450) -#4439 := (+ #4370 #3504) -#4440 := (+ #1833 #4439) -#4443 := (>= #4440 0::int) -#4445 := (or #4444 #1842 #4443) -#4462 := (or #3954 #4445) -#4469 := (iff #4462 #4461) -#4456 := (or #1842 #4444 #4450) -#4464 := (or #3954 #4456) -#4467 := (iff #4464 #4461) -#4468 := [rewrite]: #4467 -#4465 := (iff #4462 #4464) -#4459 := (iff #4445 #4456) -#4453 := (or #4444 #1842 #4450) -#4457 := (iff #4453 #4456) -#4458 := [rewrite]: #4457 -#4454 := (iff #4445 #4453) -#4451 := (iff #4443 #4450) -#4448 := (= #4440 #4447) -#4449 := [rewrite]: #4448 -#4452 := [monotonicity #4449]: #4451 -#4455 := [monotonicity #4452]: #4454 -#4460 := [trans #4455 #4458]: #4459 -#4466 := [monotonicity #4460]: #4465 -#4470 := [trans #4466 #4468]: #4469 -#4463 := [quant-inst]: #4462 -#4471 := [mp #4463 #4470]: #4461 -#4828 := [unit-resolution #4471 #4826 #4825]: #4827 -#4829 := [unit-resolution #4828 #4824 #4819]: false -#4831 := [lemma #4829]: #4830 -#4684 := [unit-resolution #4831 #4683 #4629 #4826 #4822 #4628 #4626 #4620]: false -#4686 := [lemma #4684]: #4685 -#5257 := [unit-resolution #4686 #5256 #5276 #5210]: #2992 -#3791 := (or #4032 #4026 #2997) -#3513 := [def-axiom]: #3791 -#5258 := [unit-resolution #3513 #5257 #5275]: #4032 -#3516 := (or #4035 #4029) -#3409 := [def-axiom]: #3516 -#5259 := [unit-resolution #3409 #5258]: #4035 -#3785 := (or #4044 #4004 #4038) -#3789 := [def-axiom]: #3785 -#5260 := [unit-resolution #3789 #5259 #5270]: #4004 -#3466 := (or #4001 #1777) -#3471 := [def-axiom]: #3466 -#5255 := [unit-resolution #3471 #5260]: #1777 -#4669 := (+ #1764 #4302) -#4671 := (>= #4669 0::int) -#4668 := (= #1764 #4301) -#5261 := (= #4301 #1764) -#5262 := [monotonicity #5210]: #5261 -#5263 := [symm #5262]: #4668 -#5264 := (not #4668) -#5265 := (or #5264 #4671) -#5280 := [th-lemma]: #5265 -#5281 := [unit-resolution #5280 #5263]: #4671 -#4676 := (not #4671) -#4677 := (or #4675 #4676 #1776) -#4672 := [hypothesis]: #1777 -#4667 := [hypothesis]: #4283 -#4673 := [hypothesis]: #4671 -#4674 := [th-lemma #4673 #4667 #4672]: false -#4692 := [lemma #4674]: #4677 -#5302 := [unit-resolution #4692 #5281 #5255]: #4675 -#5305 := (or #4283 #4442) -#3807 := (or #4001 #2345) -#3467 := [def-axiom]: #3807 -#5303 := [unit-resolution #3467 #5260]: #2345 -#3669 := (or #4214 #3974) -#3637 := [def-axiom]: #3669 -#5304 := [unit-resolution #3637 #5207]: #3974 -#4496 := (or #3979 #2342 #4283 #4442) -#4350 := (+ #4369 #4355) -#4356 := (+ #4301 #4350) -#4357 := (= #4356 0::int) -#4358 := (not #4357) -#4429 := (or #4360 #4358 #4352) -#4430 := (not #4429) -#4431 := (or #1778 #4283 #4430) -#4502 := (or #3979 #4431) -#4517 := (iff #4502 #4496) -#4499 := (or #2342 #4283 #4442) -#4504 := (or #3979 #4499) -#4514 := (iff #4504 #4496) -#4516 := [rewrite]: #4514 -#4505 := (iff #4502 #4504) -#4500 := (iff #4431 #4499) -#4497 := (iff #4430 #4442) -#4426 := (iff #4429 #4423) -#4421 := (or #4360 #4418 #4352) -#4424 := (iff #4421 #4423) -#4425 := [rewrite]: #4424 -#4416 := (iff #4429 #4421) -#4419 := (iff #4358 #4418) -#4437 := (iff #4357 #4436) -#4434 := (= #4356 #4433) -#4435 := [rewrite]: #4434 -#4417 := [monotonicity #4435]: #4437 -#4420 := [monotonicity #4417]: #4419 -#4422 := [monotonicity #4420]: #4416 -#4441 := [trans #4422 #4425]: #4426 -#4498 := [monotonicity #4441]: #4497 -#4501 := [monotonicity #2344 #4498]: #4500 -#4506 := [monotonicity #4501]: #4505 -#4518 := [trans #4506 #4516]: #4517 -#4503 := [quant-inst]: #4502 -#4519 := [mp #4503 #4518]: #4496 -#5306 := [unit-resolution #4519 #5304 #5303]: #5305 -#5301 := [unit-resolution #5306 #5302]: #4442 -#4531 := (or #4423 #4436) -#4533 := [def-axiom]: #4531 -#5307 := [unit-resolution #4533 #5301]: #4436 -#5308 := (or #4418 #4520) -#5309 := [th-lemma]: #5308 -#5310 := [unit-resolution #5309 #5307]: #4520 -#4670 := (<= #4669 0::int) -#5311 := (or #5264 #4670) -#5337 := [th-lemma]: #5311 -#5338 := [unit-resolution #5337 #5263]: #4670 -#5016 := (>= #5011 0::int) -#5339 := (or #5214 #5016) -#5340 := [th-lemma]: #5339 -#5341 := [unit-resolution #5340 #5213]: #5016 -#4521 := (not #4352) -#4522 := (or #4423 #4521) -#4523 := [def-axiom]: #4522 -#5336 := [unit-resolution #4523 #5301]: #4521 -#3808 := (or #4001 #3993) -#3451 := [def-axiom]: #3808 -#5342 := [unit-resolution #3451 #5260]: #3993 -#4766 := (+ #4355 #4751) -#4772 := (+ #1764 #4766) -#4799 := (>= #4772 0::int) -#4515 := (>= #4433 0::int) -#5343 := (or #4418 #4515) -#5344 := [th-lemma]: #5343 -#5345 := [unit-resolution #5344 #5307]: #4515 -#5402 := (not #5016) -#5346 := (not #4515) -#5355 := (or #4799 #4676 #5346 #5402) -#5356 := [th-lemma]: #5355 -#5357 := [unit-resolution #5356 #5281 #5345 #5341]: #4799 -#5412 := (not #5015) -#5411 := (not #4520) -#5410 := (not #4670) -#5417 := (not #4799) -#5424 := (or #5417 #3998 #4676 #4352 #5402 #5410 #5411 #5412) -#4752 := (+ #1764 #4751) -#4753 := (<= #4752 0::int) -#5401 := (not #4753) -#5399 := [hypothesis]: #5016 -#5400 := [hypothesis]: #4521 -#5403 := (or #5401 #4676 #4352 #5402) -#5404 := [th-lemma]: #5403 -#5405 := [unit-resolution #5404 #4673 #5400 #5399]: #5401 -#4773 := (= #4772 0::int) -#5406 := [hypothesis]: #4799 -#4798 := (<= #4772 0::int) -#5407 := [hypothesis]: #5015 -#5408 := [hypothesis]: #4520 -#5409 := [hypothesis]: #4670 -#5413 := (or #4798 #5410 #5411 #5412) -#5414 := [th-lemma]: #5413 -#5415 := [unit-resolution #5414 #5409 #5408 #5407]: #4798 -#5416 := (not #4798) -#5418 := (or #4773 #5416 #5417) -#5419 := [th-lemma]: #5418 -#5420 := [unit-resolution #5419 #5415 #5406]: #4773 -#4784 := (not #4773) -#4786 := (or #4753 #4784) -#5421 := [hypothesis]: #3993 -#4792 := (or #3998 #4753 #4784) -#4693 := (+ #1765 #4354) -#4715 := (+ #4714 #4693) -#4716 := (= #4715 0::int) -#4717 := (not #4716) -#4718 := (+ #4714 #1765) -#4713 := (>= #4718 0::int) -#4719 := (or #4713 #4717) -#4795 := (or #3998 #4719) -#4793 := (iff #4795 #4792) -#4630 := (or #3998 #4786) -#4679 := (iff #4630 #4792) -#4788 := [rewrite]: #4679 -#4631 := (iff #4795 #4630) -#4787 := (iff #4719 #4786) -#4782 := (iff #4717 #4784) -#4776 := (iff #4716 #4773) -#4757 := (+ #4354 #4714) -#4758 := (+ #1765 #4757) -#4769 := (= #4758 0::int) -#4774 := (iff #4769 #4773) -#4775 := [rewrite]: #4774 -#4770 := (iff #4716 #4769) -#4767 := (= #4715 #4758) -#4768 := [rewrite]: #4767 -#4771 := [monotonicity #4768]: #4770 -#4783 := [trans #4771 #4775]: #4776 -#4785 := [monotonicity #4783]: #4782 -#4755 := (iff #4713 #4753) -#4720 := (+ #1765 #4714) -#4723 := (>= #4720 0::int) -#4748 := (iff #4723 #4753) -#4754 := [rewrite]: #4748 -#4749 := (iff #4713 #4723) -#4721 := (= #4718 #4720) -#4722 := [rewrite]: #4721 -#4750 := [monotonicity #4722]: #4749 -#4756 := [trans #4750 #4754]: #4755 -#4791 := [monotonicity #4756 #4785]: #4787 -#4678 := [monotonicity #4791]: #4631 -#4794 := [trans #4678 #4788]: #4793 -#4796 := [quant-inst]: #4795 -#4797 := [mp #4796 #4794]: #4792 -#5422 := [unit-resolution #4797 #5421]: #4786 -#5423 := [unit-resolution #5422 #5420 #5405]: false -#5425 := [lemma #5423]: #5424 -#5358 := [unit-resolution #5425 #5357 #5342 #5281 #5336 #5341 #5338 #5310 #5269]: false -#5354 := [lemma #5358]: #5359 -#6215 := [unit-resolution #5354 #6214]: #4205 -#3700 := (or #4202 #192) -#3686 := [def-axiom]: #3700 -#7417 := [unit-resolution #3686 #6215]: #192 -#7413 := [symm #7417]: #7418 -#8694 := (= #8048 #191) -#9757 := (= #6904 uf_22) -#6905 := (= uf_22 #6904) -#12 := (uf_1 #10 #11) -#3825 := (pattern #12) -#13 := (uf_3 #12) -#293 := (= #11 #13) -#3826 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #3825) #293) -#297 := (forall (vars (?x2 T2) (?x3 T2)) #293) -#3829 := (iff #297 #3826) -#3827 := (iff #293 #293) -#3828 := [refl]: #3827 -#3830 := [quant-intro #3828]: #3829 -#1500 := (~ #297 #297) -#1532 := (~ #293 #293) -#1533 := [refl]: #1532 -#1498 := [nnf-pos #1533]: #1500 -#14 := (= #13 #11) -#15 := (forall (vars (?x2 T2) (?x3 T2)) #14) -#298 := (iff #15 #297) -#295 := (iff #14 #293) -#296 := [rewrite]: #295 -#299 := [quant-intro #296]: #298 -#292 := [asserted]: #15 -#302 := [mp #292 #299]: #297 -#1534 := [mp~ #302 #1498]: #297 -#3831 := [mp #1534 #3830]: #3826 -#5007 := (not #3826) -#6321 := (or #5007 #6905) -#6319 := [quant-inst]: #6321 -#9756 := [unit-resolution #6319 #3831]: #6905 -#9758 := [symm #9756]: #9757 -#8603 := [monotonicity #9758]: #8694 -#8592 := [trans #8603 #7413]: #8591 -#30523 := [monotonicity #8592]: #30522 -#30525 := [symm #30523]: #30524 -#30527 := [monotonicity #30525]: #30526 -#30518 := (not #10311) -#30519 := [hypothesis]: #30518 -#10337 := (or #9640 #10311) -#9157 := (= #185 #1939) -#9114 := (= #1939 #185) -#8831 := (= ?x63!14 uf_22) -#8074 := (= ?x63!14 #6904) -#8212 := (uf_1 #6904 ?x63!14) -#8213 := (uf_10 #8212) -#8269 := (<= #8213 0::int) -#7863 := (up_6 uf_15 ?x63!14) -#8055 := (or #7863 #8074) -#8073 := (up_6 #8048 ?x63!14) -#8128 := (iff #8055 #8073) -#8076 := (or #6010 #8128) -#8075 := (ite #8074 #5970 #7863) -#8051 := (iff #8073 #8075) -#8160 := (or #6010 #8051) -#8176 := (iff #8160 #8076) -#8178 := (iff #8076 #8076) -#8204 := [rewrite]: #8178 -#8140 := (iff #8051 #8128) -#8126 := (iff #8073 #8055) -#8138 := (iff #8126 #8128) -#8139 := [rewrite]: #8138 -#8122 := (iff #8051 #8126) -#8124 := (iff #8075 #8055) -#8052 := (ite #8074 true #7863) -#8123 := (iff #8052 #8055) -#8118 := [rewrite]: #8123 -#8053 := (iff #8075 #8052) -#8054 := [monotonicity #5976]: #8053 -#8125 := [trans #8054 #8118]: #8124 -#8127 := [monotonicity #8125]: #8122 -#8158 := [trans #8127 #8139]: #8140 -#8177 := [monotonicity #8158]: #8176 -#8205 := [trans #8177 #8204]: #8176 -#8173 := [quant-inst]: #8160 -#8206 := [mp #8173 #8205]: #8076 -#8606 := [unit-resolution #8206 #3851]: #8128 -#8980 := (iff #1941 #8073) -#8593 := (iff #8073 #1941) -#8588 := [monotonicity #8592]: #8593 -#8983 := [symm #8588]: #8980 -#8453 := [hypothesis]: #2500 -#3769 := (or #2497 #1941) -#3770 := [def-axiom]: #3769 -#8590 := [unit-resolution #3770 #8453]: #1941 -#9018 := [mp #8590 #8983]: #8073 -#8157 := (not #8073) -#7280 := (not #8128) -#7285 := (or #7280 #8055 #8157) -#7639 := [def-axiom]: #7285 -#9019 := [unit-resolution #7639 #9018 #8606]: #8055 -#7891 := (uf_1 uf_22 ?x63!14) -#7892 := (uf_10 #7891) -#7831 := (* -1::int #1939) -#7910 := (+ #7831 #7892) -#7911 := (+ #185 #7910) -#7912 := (>= #7911 0::int) -#7886 := (not #7912) -#7896 := (* -1::int #7892) -#7900 := (+ uf_9 #7896) -#7901 := (<= #7900 0::int) -#7943 := (or #7901 #7912) -#7946 := (not #7943) -#3775 := (not #2494) -#3776 := (or #2497 #3775) -#3771 := [def-axiom]: #3776 -#8506 := [unit-resolution #3771 #8453]: #3775 -#3665 := (or #4202 #4071) -#3666 := [def-axiom]: #3665 -#6216 := [unit-resolution #3666 #6215]: #4071 -#7928 := (or #4076 #2494 #7946) -#7897 := (+ #1235 #7896) -#7898 := (+ #1939 #7897) -#7899 := (<= #7898 0::int) -#7940 := (or #7901 #7899) -#7941 := (not #7940) -#7942 := (or #1940 #7941) -#7929 := (or #4076 #7942) -#7591 := (iff #7929 #7928) -#7949 := (or #2494 #7946) -#7931 := (or #4076 #7949) -#7590 := (iff #7931 #7928) -#7585 := [rewrite]: #7590 -#7855 := (iff #7929 #7931) -#7950 := (iff #7942 #7949) -#7947 := (iff #7941 #7946) -#7944 := (iff #7940 #7943) -#7915 := (iff #7899 #7912) -#7903 := (+ #1939 #7896) -#7904 := (+ #1235 #7903) -#7907 := (<= #7904 0::int) -#7913 := (iff #7907 #7912) -#7914 := [rewrite]: #7913 -#7908 := (iff #7899 #7907) -#7905 := (= #7898 #7904) -#7906 := [rewrite]: #7905 -#7909 := [monotonicity #7906]: #7908 -#7916 := [trans #7909 #7914]: #7915 -#7945 := [monotonicity #7916]: #7944 -#7948 := [monotonicity #7945]: #7947 -#7951 := [monotonicity #2496 #7948]: #7950 -#7856 := [monotonicity #7951]: #7855 -#7592 := [trans #7856 #7585]: #7591 -#7930 := [quant-inst]: #7929 -#7582 := [mp #7930 #7592]: #7928 -#9020 := [unit-resolution #7582 #6216 #8506]: #7946 -#7887 := (or #7943 #7886) -#7888 := [def-axiom]: #7887 -#9017 := [unit-resolution #7888 #9020]: #7886 -#6768 := (not #8055) -#9798 := (or #8269 #7912 #6768) -#8339 := (uf_3 #8212) -#9705 := (uf_4 uf_14 #8339) -#9706 := (* -1::int #9705) -#8358 := (uf_4 uf_14 #6904) -#9707 := (+ #8358 #9706) -#9708 := (>= #9707 0::int) -#9709 := (up_6 uf_15 #8339) -#9753 := (iff #7863 #9709) -#9751 := (iff #9709 #7863) -#9749 := (= #8339 ?x63!14) -#8340 := (= ?x63!14 #8339) -#8389 := (or #5007 #8340) -#8383 := [quant-inst]: #8389 -#9748 := [unit-resolution #8383 #3831]: #8340 -#9750 := [symm #9748]: #9749 -#9752 := [monotonicity #9750]: #9751 -#9754 := [symm #9752]: #9753 -#9739 := [hypothesis]: #8055 -#8159 := (not #8074) -#8299 := (= #8213 0::int) -#9741 := (not #8299) -#8270 := (not #8269) -#9740 := [hypothesis]: #8270 -#9742 := (or #9741 #8269) -#9743 := [th-lemma]: #9742 -#9744 := [unit-resolution #9743 #9740]: #9741 -#8309 := (or #8159 #8299) +#4005 := (iff #38 #4002) +#4003 := (iff #37 #37) +#4004 := [refl]: #4003 +#4006 := [quant-intro #4004]: #4005 +#1646 := (~ #38 #38) +#1682 := (~ #37 #37) +#1683 := [refl]: #1682 +#1647 := [nnf-pos #1683]: #1646 +#311 := [asserted]: #38 +#1684 := [mp~ #311 #1647]: #38 +#4007 := [mp #1684 #4006]: #4002 +#6538 := (not #4002) +#27089 := (or #6538 #27086) +#3681 := (= uf_8 uf_8) +#27069 := (= #19843 #10482) +#27070 := (ite #27069 #3681 #25893) +#27074 := (iff #27073 #27070) +#27090 := (or #6538 #27074) +#27092 := (iff #27090 #27089) +#27094 := (iff #27089 #27089) +#27095 := [rewrite]: #27094 +#27087 := (iff #27074 #27086) +#27084 := (iff #27070 #27081) +#27078 := (ite #27075 true #25893) +#27082 := (iff #27078 #27081) +#27083 := [rewrite]: #27082 +#27079 := (iff #27070 #27078) +#3684 := (iff #3681 true) +#3673 := [rewrite]: #3684 +#27076 := (iff #27069 #27075) +#27077 := [rewrite]: #27076 +#27080 := [monotonicity #27077 #3673]: #27079 +#27085 := [trans #27080 #27083]: #27084 +#27088 := [monotonicity #27085]: #27087 +#27093 := [monotonicity #27088]: #27092 +#27096 := [trans #27093 #27095]: #27092 +#27091 := [quant-inst]: #27090 +#27097 := [mp #27091 #27096]: #27089 +#27196 := [unit-resolution #27097 #4007]: #27086 +#27106 := (not #27086) +#27223 := (or #27106 #27073) +#5835 := (up_6 uf_15 #5823) +#27219 := (iff #5835 #25893) +#27217 := (iff #25893 #5835) +#27218 := [monotonicity #27216]: #27217 +#27220 := [symm #27218]: #27219 +#5836 := (not #5835) +#5828 := (uf_1 #5823 ?x75!20) +#5829 := (uf_10 #5828) +#5830 := (* -1::int #5829) +#5824 := (uf_4 uf_14 #5823) +#5825 := (* -1::int #5824) +#5831 := (+ #5825 #5830) +#5561 := (uf_4 uf_14 ?x75!20) +#5832 := (+ #5561 #5831) +#5833 := (= #5832 0::int) +#5834 := (not #5833) +#5826 := (+ #5561 #5825) +#5827 := (<= #5826 0::int) +#5842 := (or #5827 #5834 #5836) +#5845 := (not #5842) +#5591 := (* -1::int #5561) +#5839 := (+ uf_9 #5591) +#5840 := (<= #5839 0::int) +#22585 := (not #5840) +#6522 := [hypothesis]: #3240 +#3920 := (not #2683) +#3921 := (or #3235 #3920) +#3915 := [def-axiom]: #3921 +#6523 := [unit-resolution #3915 #6522]: #3920 +#13600 := (or #3235 #2683) +#6436 := (uf_1 uf_22 ?x68!16) +#6437 := (uf_10 #6436) +#6462 := (+ #2681 #6437) +#6463 := (+ #177 #6462) +#13033 := (<= #6463 0::int) +#6466 := (= #6463 0::int) +#6403 := (uf_4 uf_14 ?x68!16) +#6420 := (* -1::int #6403) +#6455 := (+ #6420 #6437) +#6456 := (+ #177 #6455) +#6457 := (>= #6456 0::int) +#6441 := (* -1::int #6437) +#6445 := (+ uf_9 #6441) +#6446 := (<= #6445 0::int) +#6492 := (or #6446 #6457) +#6495 := (not #6492) +#6489 := (= #2095 #6403) +#9335 := (not #6489) +#6421 := (+ #2095 #6420) +#13056 := (>= #6421 0::int) +#13361 := (not #13056) +#12929 := (= ?x67!17 #10482) +#6205 := (up_6 uf_15 ?x67!17) +#12936 := (or #6205 #12929) +#12931 := (up_6 #11444 ?x67!17) +#12941 := (iff #12931 #12936) +#12895 := (or #6538 #12941) +#12930 := (ite #12929 #3681 #6205) +#12932 := (iff #12931 #12930) +#12896 := (or #6538 #12932) +#12898 := (iff #12896 #12895) +#12894 := (iff #12895 #12895) +#12900 := [rewrite]: #12894 +#12942 := (iff #12932 #12941) +#12939 := (iff #12930 #12936) +#12933 := (ite #12929 true #6205) +#12937 := (iff #12933 #12936) +#12938 := [rewrite]: #12937 +#12934 := (iff #12930 #12933) +#12935 := [monotonicity #3673]: #12934 +#12940 := [trans #12935 #12938]: #12939 +#12943 := [monotonicity #12940]: #12942 +#12899 := [monotonicity #12943]: #12898 +#12901 := [trans #12899 #12900]: #12898 +#12897 := [quant-inst]: #12896 +#12902 := [mp #12897 #12901]: #12895 +#13389 := [unit-resolution #12902 #4007]: #12941 +#11402 := (iff #2098 #12931) +#13390 := (iff #12931 #2098) +#11401 := [monotonicity #13524]: #13390 +#13535 := [symm #11401]: #11402 +#3775 := (or #3235 #2098) +#3776 := [def-axiom]: #3775 +#6525 := [unit-resolution #3776 #6522]: #2098 +#13536 := [mp #6525 #13535]: #12931 +#12962 := (not #12931) +#12959 := (not #12941) +#12963 := (or #12959 #12962 #12936) +#12964 := [def-axiom]: #12963 +#13537 := [unit-resolution #12964 #13536 #13389]: #12936 +#10975 := [hypothesis]: #3920 +#6233 := (+ #177 #6420) +#6234 := (<= #6233 0::int) +#3749 := (up_6 uf_15 ?x68!16) +#12831 := (not #3749) +#12761 := (= ?x68!16 #10482) +#12767 := (or #3749 #12761) +#12836 := (not #12767) +#12763 := (up_6 #11444 ?x68!16) +#12796 := (iff #12763 #12767) +#12793 := (or #6538 #12796) +#12762 := (ite #12761 #3681 #3749) +#12764 := (iff #12763 #12762) +#12799 := (or #6538 #12764) +#12801 := (iff #12799 #12793) +#12803 := (iff #12793 #12793) +#12828 := [rewrite]: #12803 +#12797 := (iff #12764 #12796) +#12794 := (iff #12762 #12767) +#12759 := (ite #12761 true #3749) +#12768 := (iff #12759 #12767) +#12769 := [rewrite]: #12768 +#12765 := (iff #12762 #12759) +#12766 := [monotonicity #3673]: #12765 +#12795 := [trans #12766 #12769]: #12794 +#12798 := [monotonicity #12795]: #12797 +#12802 := [monotonicity #12798]: #12801 +#12829 := [trans #12802 #12828]: #12801 +#12800 := [quant-inst]: #12799 +#12830 := [mp #12800 #12829]: #12793 +#13565 := [unit-resolution #12830 #4007]: #12796 +#12866 := (not #12763) +#13564 := (iff #2100 #12866) +#13568 := (iff #2099 #12763) +#13566 := (iff #12763 #2099) +#13567 := [monotonicity #13524]: #13566 +#13569 := [symm #13567]: #13568 +#13570 := [monotonicity #13569]: #13564 +#3918 := (or #3235 #2100) +#3919 := [def-axiom]: #3918 +#6524 := [unit-resolution #3919 #6522]: #2100 +#13571 := [mp #6524 #13570]: #12866 +#12863 := (not #12796) +#12864 := (or #12863 #12763 #12836) +#12865 := [def-axiom]: #12864 +#13572 := [unit-resolution #12865 #13571 #13565]: #12836 +#12832 := (or #12767 #12831) +#12827 := [def-axiom]: #12832 +#13573 := [unit-resolution #12827 #13572]: #12831 +#6238 := (or #3749 #6234) +#3838 := (or #4352 #4203) +#3839 := [def-axiom]: #3838 +#10794 := [unit-resolution #3839 #10367]: #4203 +#13087 := (or #4208 #3749 #6234) +#6251 := (+ #6403 #1268) +#6252 := (>= #6251 0::int) +#6253 := (or #3749 #6252) +#13085 := (or #4208 #6253) +#13095 := (iff #13085 #13087) +#13091 := (or #4208 #6238) +#13093 := (iff #13091 #13087) +#13094 := [rewrite]: #13093 +#13084 := (iff #13085 #13091) +#6239 := (iff #6253 #6238) +#6236 := (iff #6252 #6234) +#6254 := (+ #1268 #6403) +#6257 := (>= #6254 0::int) +#6232 := (iff #6257 #6234) +#6235 := [rewrite]: #6232 +#6258 := (iff #6252 #6257) +#6255 := (= #6251 #6254) +#6256 := [rewrite]: #6255 +#6259 := [monotonicity #6256]: #6258 +#6237 := [trans #6259 #6235]: #6236 +#6240 := [monotonicity #6237]: #6239 +#13092 := [monotonicity #6240]: #13084 +#13096 := [trans #13092 #13094]: #13095 +#13090 := [quant-inst]: #13085 +#13098 := [mp #13090 #13096]: #13087 +#13574 := [unit-resolution #13098 #10794]: #6238 +#10559 := [unit-resolution #13574 #13573]: #6234 +#12956 := (not #12936) +#13360 := (not #6234) +#13379 := (or #13361 #2683 #13360 #12956) +#4526 := (uf_24 uf_22) +#4567 := (* -1::int #4526) +#6154 := (+ #2093 #4567) +#13335 := (<= #6154 0::int) +#13334 := (= #2093 #4526) +#6206 := (= ?x67!17 uf_22) +#13343 := [hypothesis]: #12936 +#10290 := (not #6205) +#10815 := (uf_4 uf_14 #10482) +#10842 := (* -1::int #10815) +#6176 := (uf_4 uf_14 ?x67!17) +#13287 := (+ #6176 #10842) +#13288 := (<= #13287 0::int) +#13464 := (not #13288) +#13357 := [hypothesis]: #6234 +#5358 := (* -1::int #6176) +#5458 := (+ #2093 #5358) +#5459 := (<= #5458 0::int) +#3715 := (or #4352 #4346) +#3826 := [def-axiom]: #3715 +#10824 := [unit-resolution #3826 #10367]: #4346 +#3847 := (or #4352 #4213) +#3820 := [def-axiom]: #3847 +#10373 := [unit-resolution #3820 #10367]: #4213 +#3821 := (or #4352 #4221) +#3822 := [def-axiom]: #3821 +#10825 := [unit-resolution #3822 #10367]: #4221 +#6791 := (or #2650 #4226 #4218) +#6483 := (uf_1 uf_22 ?x61!13) +#6484 := (uf_10 #6483) +#6567 := (+ #2036 #6484) +#6568 := (+ #177 #6567) +#6588 := (>= #6568 0::int) +#6570 := (= #6568 0::int) +#6544 := (* -1::int #6484) +#6540 := (+ uf_9 #6544) +#6548 := (<= #6540 0::int) +#6625 := (not #6548) +#6558 := (+ #2648 #6484) +#6553 := (+ #177 #6558) +#6559 := (>= #6553 0::int) +#6596 := (or #6548 #6559) +#6598 := (not #6596) +#6593 := (= #2035 #2037) +#6749 := (not #6593) +#6733 := [hypothesis]: #2655 +#6752 := (or #6749 #2650) +#6753 := [th-lemma]: #6752 +#6748 := [unit-resolution #6753 #6733]: #6749 +#6754 := [hypothesis]: #4213 +#6603 := (or #4218 #6593 #6598) +#6545 := (+ #1268 #6544) +#6546 := (+ #2037 #6545) +#6547 := (<= #6546 0::int) +#6589 := (or #6548 #6547) +#6591 := (not #6589) +#6592 := (= #2037 #2035) +#6590 := (or #6592 #6591) +#6604 := (or #4218 #6590) +#6621 := (iff #6604 #6603) +#6601 := (or #6593 #6598) +#6606 := (or #4218 #6601) +#6619 := (iff #6606 #6603) +#6620 := [rewrite]: #6619 +#6617 := (iff #6604 #6606) +#6564 := (iff #6590 #6601) +#6599 := (iff #6591 #6598) +#6597 := (iff #6589 #6596) +#6562 := (iff #6547 #6559) +#6550 := (+ #2037 #6544) +#6551 := (+ #1268 #6550) +#6555 := (<= #6551 0::int) +#6560 := (iff #6555 #6559) +#6561 := [rewrite]: #6560 +#6556 := (iff #6547 #6555) +#6552 := (= #6546 #6551) +#6554 := [rewrite]: #6552 +#6557 := [monotonicity #6554]: #6556 +#6563 := [trans #6557 #6561]: #6562 +#6565 := [monotonicity #6563]: #6597 +#6600 := [monotonicity #6565]: #6599 +#6594 := (iff #6592 #6593) +#6595 := [rewrite]: #6594 +#6602 := [monotonicity #6595 #6600]: #6564 +#6618 := [monotonicity #6602]: #6617 +#6622 := [trans #6618 #6620]: #6621 +#6605 := [quant-inst]: #6604 +#6623 := [mp #6605 #6622]: #6603 +#6755 := [unit-resolution #6623 #6754 #6748]: #6598 +#6626 := (or #6596 #6625) +#6627 := [def-axiom]: #6626 +#6756 := [unit-resolution #6627 #6755]: #6625 +#6628 := (not #6559) +#6629 := (or #6596 #6628) +#6630 := [def-axiom]: #6629 +#6757 := [unit-resolution #6630 #6755]: #6628 +#6574 := (or #6548 #6559 #6570) +#6758 := [hypothesis]: #4221 +#6576 := (or #4226 #6548 #6559 #6570) +#6542 := (+ #6484 #2036) +#6543 := (+ #177 #6542) +#6541 := (= #6543 0::int) +#6549 := (or #6548 #6547 #6541) +#6577 := (or #4226 #6549) +#6585 := (iff #6577 #6576) +#6580 := (or #4226 #6574) +#6582 := (iff #6580 #6576) +#6583 := [rewrite]: #6582 +#6578 := (iff #6577 #6580) +#6572 := (iff #6549 #6574) +#6571 := (iff #6541 #6570) +#6566 := (= #6543 #6568) +#6569 := [rewrite]: #6566 +#6573 := [monotonicity #6569]: #6571 +#6575 := [monotonicity #6563 #6573]: #6572 +#6581 := [monotonicity #6575]: #6578 +#6586 := [trans #6581 #6583]: #6585 +#6579 := [quant-inst]: #6577 +#6584 := [mp #6579 #6586]: #6576 +#6782 := [unit-resolution #6584 #6758]: #6574 +#6783 := [unit-resolution #6782 #6757 #6756]: #6570 +#6784 := (not #6570) +#6785 := (or #6784 #6588) +#6786 := [th-lemma]: #6785 +#6781 := [unit-resolution #6786 #6783]: #6588 +#6624 := (>= #2649 0::int) +#6787 := (or #6624 #2650) +#6788 := [th-lemma]: #6787 +#6789 := [unit-resolution #6788 #6733]: #6624 +#6790 := [th-lemma #6789 #6757 #6781]: false +#6815 := [lemma #6790]: #6791 +#10826 := [unit-resolution #6815 #10825 #10373]: #2650 +#3853 := (or #4349 #2655 #4343) +#3854 := [def-axiom]: #3853 +#10827 := [unit-resolution #3854 #10826 #10824]: #4343 +#3866 := (or #4340 #4229) +#3867 := [def-axiom]: #3866 +#10835 := [unit-resolution #3867 #10827]: #4229 +#10497 := (or #4234 #5459) +#5451 := (+ #6176 #2094) +#5452 := (>= #5451 0::int) +#10498 := (or #4234 #5452) +#10502 := (iff #10498 #10497) +#10504 := (iff #10497 #10497) +#10505 := [rewrite]: #10504 +#5485 := (iff #5452 #5459) +#5453 := (+ #2094 #6176) +#5450 := (>= #5453 0::int) +#5460 := (iff #5450 #5459) +#5484 := [rewrite]: #5460 +#5456 := (iff #5452 #5450) +#5454 := (= #5451 #5453) +#5455 := [rewrite]: #5454 +#5457 := [monotonicity #5455]: #5456 +#5486 := [trans #5457 #5484]: #5485 +#10503 := [monotonicity #5486]: #10502 +#10506 := [trans #10503 #10505]: #10502 +#10501 := [quant-inst]: #10498 +#10507 := [mp #10501 #10506]: #10497 +#11063 := [unit-resolution #10507 #10835]: #5459 +#10550 := (+ #177 #10842) +#10551 := (>= #10550 0::int) +#10851 := (= #177 #10815) +#13455 := (= #10815 #177) +#13456 := [monotonicity #13347]: #13455 +#13457 := [symm #13456]: #10851 +#13458 := (not #10851) +#13459 := (or #13458 #10551) +#13460 := [th-lemma]: #13459 +#13461 := [unit-resolution #13460 #13457]: #10551 +#13358 := [hypothesis]: #13056 +#13331 := (not #10551) +#11754 := (not #5459) +#13362 := (or #13464 #11754 #2683 #13360 #13331 #13361) +#13363 := [th-lemma]: #13362 +#13364 := [unit-resolution #13363 #13358 #13461 #11063 #13357 #10975]: #13464 +#13586 := (or #10290 #13288) +#13575 := [hypothesis]: #13464 +#10840 := (up_6 uf_15 #10482) +#13580 := (not #10840) +#13581 := (iff #176 #13580) +#13578 := (iff #175 #10840) +#13576 := (iff #10840 #175) +#13577 := [monotonicity #13347]: #13576 +#13579 := [symm #13577]: #13578 +#13582 := [monotonicity #13579]: #13581 +#3855 := (or #4352 #176) +#3850 := [def-axiom]: #3855 +#10368 := [unit-resolution #3850 #10367]: #176 +#13583 := [mp #10368 #13582]: #13580 +#13584 := [hypothesis]: #6205 +#3799 := (or #4364 #4108) +#3823 := [def-axiom]: #3799 +#10473 := [unit-resolution #3823 #10034]: #4108 +#13489 := (or #4113 #10290 #10840 #13288) +#13250 := (+ #10815 #5358) +#13251 := (>= #13250 0::int) +#13282 := (or #10840 #10290 #13251) +#13491 := (or #4113 #13282) +#13502 := (iff #13491 #13489) +#13306 := (or #10290 #10840 #13288) +#13497 := (or #4113 #13306) +#13500 := (iff #13497 #13489) +#13501 := [rewrite]: #13500 +#13498 := (iff #13491 #13497) +#13319 := (iff #13282 #13306) +#13311 := (or #10840 #10290 #13288) +#13315 := (iff #13311 #13306) +#13318 := [rewrite]: #13315 +#13316 := (iff #13282 #13311) +#13309 := (iff #13251 #13288) +#13283 := (+ #5358 #10815) +#13286 := (>= #13283 0::int) +#13289 := (iff #13286 #13288) +#13290 := [rewrite]: #13289 +#13280 := (iff #13251 #13286) +#13284 := (= #13250 #13283) +#13285 := [rewrite]: #13284 +#13281 := [monotonicity #13285]: #13280 +#13310 := [trans #13281 #13290]: #13309 +#13317 := [monotonicity #13310]: #13316 +#13320 := [trans #13317 #13318]: #13319 +#13499 := [monotonicity #13320]: #13498 +#13369 := [trans #13499 #13501]: #13502 +#13492 := [quant-inst]: #13491 +#13383 := [mp #13492 #13369]: #13489 +#13585 := [unit-resolution #13383 #10473 #13584 #13583 #13575]: false +#13587 := [lemma #13585]: #13586 +#13359 := [unit-resolution #13587 #13364]: #10290 +#12957 := (or #12956 #6205 #12929) +#12958 := [def-axiom]: #12957 +#13336 := [unit-resolution #12958 #13359 #13343]: #12929 +#13380 := [trans #13336 #13347]: #6206 +#13381 := [monotonicity #13380]: #13334 +#13374 := (not #13334) +#13382 := (or #13374 #13335) +#13438 := [th-lemma]: #13382 +#13375 := [unit-resolution #13438 #13381]: #13335 +#4768 := (+ #177 #4567) +#4769 := (>= #4768 0::int) +#9856 := (or #4234 #4769) +#9857 := [quant-inst]: #9856 +#10836 := [unit-resolution #9857 #10835]: #4769 +#13378 := [th-lemma #10975 #13357 #13358 #10836 #13375]: false +#13372 := [lemma #13378]: #13379 +#10577 := [unit-resolution #13372 #10559 #10975 #13537]: #13361 +#11369 := (or #9335 #13056) +#13408 := [th-lemma]: #11369 +#13409 := [unit-resolution #13408 #10577]: #9335 +#6498 := (or #6489 #6495) +#13035 := (or #4218 #6489 #6495) +#6442 := (+ #1268 #6441) +#6443 := (+ #6403 #6442) +#6444 := (<= #6443 0::int) +#6485 := (or #6446 #6444) +#6486 := (not #6485) +#6487 := (= #6403 #2095) +#6488 := (or #6487 #6486) +#13036 := (or #4218 #6488) +#13053 := (iff #13036 #13035) +#13049 := (or #4218 #6498) +#13052 := (iff #13049 #13035) +#13047 := [rewrite]: #13052 +#13050 := (iff #13036 #13049) +#6499 := (iff #6488 #6498) +#6496 := (iff #6486 #6495) +#6493 := (iff #6485 #6492) +#6460 := (iff #6444 #6457) +#6448 := (+ #6403 #6441) +#6449 := (+ #1268 #6448) +#6452 := (<= #6449 0::int) +#6458 := (iff #6452 #6457) +#6459 := [rewrite]: #6458 +#6453 := (iff #6444 #6452) +#6450 := (= #6443 #6449) +#6451 := [rewrite]: #6450 +#6454 := [monotonicity #6451]: #6453 +#6461 := [trans #6454 #6459]: #6460 +#6494 := [monotonicity #6461]: #6493 +#6497 := [monotonicity #6494]: #6496 +#6490 := (iff #6487 #6489) +#6491 := [rewrite]: #6490 +#6500 := [monotonicity #6491 #6497]: #6499 +#13051 := [monotonicity #6500]: #13050 +#13054 := [trans #13051 #13047]: #13053 +#13048 := [quant-inst]: #13036 +#13055 := [mp #13048 #13054]: #13035 +#13387 := [unit-resolution #13055 #10373]: #6498 +#13388 := [unit-resolution #13387 #13409]: #6495 +#13385 := (or #6492 #6466) +#13434 := (not #6466) +#13435 := [hypothesis]: #13434 +#13057 := (not #6446) +#13439 := [hypothesis]: #6495 +#13077 := (or #6492 #13057) +#13078 := [def-axiom]: #13077 +#13365 := [unit-resolution #13078 #13439]: #13057 +#13079 := (not #6457) +#13080 := (or #6492 #13079) +#13081 := [def-axiom]: #13080 +#13366 := [unit-resolution #13081 #13439]: #13079 +#6469 := (or #6446 #6457 #6466) +#13012 := (or #4226 #6446 #6457 #6466) +#6438 := (+ #6437 #2681) +#6439 := (+ #177 #6438) +#6440 := (= #6439 0::int) +#6447 := (or #6446 #6444 #6440) +#13013 := (or #4226 #6447) +#13031 := (iff #13013 #13012) +#13015 := (or #4226 #6469) +#13029 := (iff #13015 #13012) +#13030 := [rewrite]: #13029 +#13027 := (iff #13013 #13015) +#6470 := (iff #6447 #6469) +#6467 := (iff #6440 #6466) +#6464 := (= #6439 #6463) +#6465 := [rewrite]: #6464 +#6468 := [monotonicity #6465]: #6467 +#6471 := [monotonicity #6461 #6468]: #6470 +#13028 := [monotonicity #6471]: #13027 +#13026 := [trans #13028 #13030]: #13031 +#13014 := [quant-inst]: #13013 +#13032 := [mp #13014 #13026]: #13012 +#13367 := [unit-resolution #13032 #10825]: #6469 +#13368 := [unit-resolution #13367 #13366 #13365 #13435]: false +#13386 := [lemma #13368]: #13385 +#13488 := [unit-resolution #13386 #13388]: #6466 +#13588 := (or #13434 #13033) +#13589 := [th-lemma]: #13588 +#13590 := [unit-resolution #13589 #13488]: #13033 +#12924 := (uf_1 #10482 ?x68!16) +#12925 := (uf_10 #12924) +#13060 := (* -1::int #12925) +#13437 := (+ #6437 #13060) +#13441 := (>= #13437 0::int) +#13436 := (= #6437 #12925) +#13445 := (= #12925 #6437) +#13443 := (= #12924 #6436) +#13444 := [monotonicity #13347]: #13443 +#13446 := [monotonicity #13444]: #13445 +#13447 := [symm #13446]: #13436 +#13448 := (not #13436) +#13449 := (or #13448 #13441) +#13450 := [th-lemma]: #13449 +#13451 := [unit-resolution #13450 #13447]: #13441 +#13410 := (<= #12925 0::int) +#13411 := (not #13410) +#12833 := (not #12761) +#12834 := (or #12767 #12833) +#12835 := [def-axiom]: #12834 +#13591 := [unit-resolution #12835 #13572]: #12833 #56 := (uf_10 #12) -#57 := (= #56 0::int) +#371 := (<= #56 0::int) +#372 := (not #371) #55 := (= #10 #11) +#375 := (or #55 #372) +#4029 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #3981) #375) +#378 := (forall (vars (?x22 T2) (?x23 T2)) #375) +#4032 := (iff #378 #4029) +#4030 := (iff #375 #375) +#4031 := [refl]: #4030 +#4033 := [quant-intro #4031]: #4032 +#1656 := (~ #378 #378) +#1655 := (~ #375 #375) +#1693 := [refl]: #1655 +#1657 := [nnf-pos #1693]: #1656 +#61 := (< 0::int #56) #60 := (not #55) -#353 := (or #60 #57) -#3867 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #3825) #353) -#356 := (forall (vars (?x20 T2) (?x21 T2)) #353) -#3870 := (iff #356 #3867) -#3868 := (iff #353 #353) -#3869 := [refl]: #3868 -#3871 := [quant-intro #3869]: #3870 -#1511 := (~ #356 #356) -#1550 := (~ #353 #353) -#1551 := [refl]: #1550 -#1512 := [nnf-pos #1551]: #1511 +#62 := (implies #60 #61) +#63 := (forall (vars (?x22 T2) (?x23 T2)) #62) +#381 := (iff #63 #378) +#365 := (or #55 #61) +#368 := (forall (vars (?x22 T2) (?x23 T2)) #365) +#379 := (iff #368 #378) +#376 := (iff #365 #375) +#373 := (iff #61 #372) +#374 := [rewrite]: #373 +#377 := [monotonicity #374]: #376 +#380 := [quant-intro #377]: #379 +#369 := (iff #63 #368) +#366 := (iff #62 #365) +#367 := [rewrite]: #366 +#370 := [quant-intro #367]: #369 +#382 := [trans #370 #380]: #381 +#364 := [asserted]: #63 +#383 := [mp #364 #382]: #378 +#1694 := [mp~ #383 #1657]: #378 +#4034 := [mp #1694 #4033]: #4029 +#7051 := (not #4029) +#13419 := (or #7051 #12761 #13411) +#13412 := (= #10482 ?x68!16) +#13413 := (or #13412 #13411) +#13420 := (or #7051 #13413) +#13427 := (iff #13420 #13419) +#13416 := (or #12761 #13411) +#13422 := (or #7051 #13416) +#13425 := (iff #13422 #13419) +#13426 := [rewrite]: #13425 +#13423 := (iff #13420 #13422) +#13417 := (iff #13413 #13416) +#13414 := (iff #13412 #12761) +#13415 := [rewrite]: #13414 +#13418 := [monotonicity #13415]: #13417 +#13424 := [monotonicity #13418]: #13423 +#13428 := [trans #13424 #13426]: #13427 +#13421 := [quant-inst]: #13420 +#13429 := [mp #13421 #13428]: #13419 +#13592 := [unit-resolution #13429 #4034 #13591]: #13411 +#13463 := (not #13033) +#13465 := (or #13463 #2683 #13464 #12761) +#13442 := [hypothesis]: #13288 +#13452 := [hypothesis]: #12833 +#13453 := [unit-resolution #13429 #4034 #13452]: #13411 +#13454 := [hypothesis]: #13033 +#13462 := [th-lemma #13461 #11063 #10975 #13454 #13453 #13451 #13442]: false +#13466 := [lemma #13462]: #13465 +#13593 := [unit-resolution #13466 #13590 #10975 #13591]: #13464 +#13594 := [unit-resolution #13587 #13593]: #10290 +#13595 := [unit-resolution #12958 #13594 #13537]: #12929 +#13596 := [trans #13595 #13347]: #6206 +#13597 := [monotonicity #13596]: #13334 +#13598 := [unit-resolution #13438 #13597]: #13335 +#13599 := [th-lemma #13598 #10975 #10836 #13592 #13451 #13590]: false +#13601 := [lemma #13599]: #13600 +#13863 := [unit-resolution #13601 #6523 #6522]: false +#13851 := [lemma #13863]: #3235 +#7476 := (uf_1 uf_22 ?x63!14) +#8409 := (uf_2 #7476) +#8528 := (up_6 uf_15 #8409) +#8582 := (iff #8528 #175) +#8563 := (iff #175 #8528) +#8410 := (= uf_22 #8409) +#8416 := (or #8415 #8410) +#8417 := [quant-inst]: #8416 +#8694 := [unit-resolution #8417 #3993]: #8410 +#10477 := [monotonicity #8694]: #8563 +#10478 := [symm #10477]: #8582 +#7477 := (uf_10 #7476) +#6712 := (* -1::int #2054) +#7563 := (+ #6712 #7477) +#7564 := (+ #177 #7563) +#7637 := (>= #7564 0::int) +#7832 := (not #7637) +#7478 := (* -1::int #7477) +#7480 := (+ uf_9 #7478) +#7481 := (<= #7480 0::int) +#7636 := (or #7481 #7637) +#7631 := (not #7636) +#3931 := (not #2658) +#10371 := [hypothesis]: #2664 +#3932 := (or #2661 #3931) +#3927 := [def-axiom]: #3932 +#10372 := [unit-resolution #3927 #10371]: #3931 +#7698 := (or #4218 #2658 #7631) +#7472 := (+ #1268 #7478) +#7479 := (+ #2054 #7472) +#7474 := (<= #7479 0::int) +#7482 := (or #7481 #7474) +#7280 := (not #7482) +#7373 := (or #2055 #7280) +#7694 := (or #4218 #7373) +#6817 := (iff #7694 #7698) +#7696 := (or #2658 #7631) +#7699 := (or #4218 #7696) +#7724 := (iff #7699 #7698) +#7720 := [rewrite]: #7724 +#7704 := (iff #7694 #7699) +#7697 := (iff #7373 #7696) +#7626 := (iff #7280 #7631) +#7629 := (iff #7482 #7636) +#7627 := (iff #7474 #7637) +#7374 := (+ #2054 #7478) +#7380 := (+ #1268 #7374) +#7281 := (<= #7380 0::int) +#7662 := (iff #7281 #7637) +#7663 := [rewrite]: #7662 +#7369 := (iff #7474 #7281) +#7381 := (= #7479 #7380) +#7498 := [rewrite]: #7381 +#7370 := [monotonicity #7498]: #7369 +#7628 := [trans #7370 #7663]: #7627 +#7630 := [monotonicity #7628]: #7629 +#7632 := [monotonicity #7630]: #7626 +#7695 := [monotonicity #2660 #7632]: #7697 +#7723 := [monotonicity #7695]: #7704 +#7303 := [trans #7723 #7720]: #6817 +#7700 := [quant-inst]: #7694 +#7483 := [mp #7700 #7303]: #7698 +#10375 := [unit-resolution #7483 #10373 #10372]: #7631 +#7871 := (or #7636 #7832) +#7872 := [def-axiom]: #7871 +#10377 := [unit-resolution #7872 #10375]: #7832 +#8188 := (= uf_22 ?x63!14) +#8259 := (not #8188) +#9020 := (or #8259 #7637) +#7408 := (+ #177 #6712) +#8885 := (>= #7408 0::int) +#8884 := (= #177 #2054) +#8950 := (= #2054 #177) +#8129 := (= ?x63!14 uf_22) +#8946 := [hypothesis]: #8188 +#8947 := [symm #8946]: #8129 +#8951 := [monotonicity #8947]: #8950 +#8983 := [symm #8951]: #8884 +#8984 := (not #8884) +#8985 := (or #8984 #8885) +#8981 := [th-lemma]: #8985 +#8977 := [unit-resolution #8981 #8983]: #8885 +#10121 := [hypothesis]: #7832 +#8408 := (>= #7477 0::int) +#8398 := (= #7477 0::int) +#8399 := (or #8259 #8398) +#57 := (= #56 0::int) +#355 := (or #60 #57) +#4023 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #3981) #355) +#358 := (forall (vars (?x20 T2) (?x21 T2)) #355) +#4026 := (iff #358 #4023) +#4024 := (iff #355 #355) +#4025 := [refl]: #4024 +#4027 := [quant-intro #4025]: #4026 +#1652 := (~ #358 #358) +#1691 := (~ #355 #355) +#1692 := [refl]: #1691 +#1653 := [nnf-pos #1692]: #1652 #58 := (implies #55 #57) #59 := (forall (vars (?x20 T2) (?x21 T2)) #58) -#359 := (iff #59 #356) -#332 := (= 0::int #56) -#343 := (or #60 #332) -#348 := (forall (vars (?x20 T2) (?x21 T2)) #343) -#357 := (iff #348 #356) -#354 := (iff #343 #353) -#351 := (iff #332 #57) -#352 := [rewrite]: #351 -#355 := [monotonicity #352]: #354 -#358 := [quant-intro #355]: #357 -#349 := (iff #59 #348) -#346 := (iff #58 #343) -#340 := (implies #55 #332) -#344 := (iff #340 #343) -#345 := [rewrite]: #344 -#341 := (iff #58 #340) -#338 := (iff #57 #332) -#339 := [rewrite]: #338 -#342 := [monotonicity #339]: #341 -#347 := [trans #342 #345]: #346 -#350 := [quant-intro #347]: #349 -#360 := [trans #350 #358]: #359 -#330 := [asserted]: #59 -#361 := [mp #330 #360]: #356 -#1513 := [mp~ #361 #1512]: #356 -#3872 := [mp #1513 #3871]: #3867 -#8154 := (not #3867) -#8319 := (or #8154 #8159 #8299) -#8250 := (= #6904 ?x63!14) -#8305 := (not #8250) -#8306 := (or #8305 #8299) -#8324 := (or #8154 #8306) -#8351 := (iff #8324 #8319) -#8326 := (or #8154 #8309) -#8342 := (iff #8326 #8319) -#8343 := [rewrite]: #8342 -#8336 := (iff #8324 #8326) -#8317 := (iff #8306 #8309) -#8307 := (iff #8305 #8159) -#8252 := (iff #8250 #8074) -#8253 := [rewrite]: #8252 -#8308 := [monotonicity #8253]: #8307 -#8318 := [monotonicity #8308]: #8317 -#8337 := [monotonicity #8318]: #8336 -#8352 := [trans #8337 #8343]: #8351 -#8325 := [quant-inst]: #8324 -#8384 := [mp #8325 #8352]: #8319 -#9745 := [unit-resolution #8384 #3872]: #8309 -#9746 := [unit-resolution #9745 #9744]: #8159 -#6665 := (or #6768 #7863 #8074) -#6767 := [def-axiom]: #6665 -#9747 := [unit-resolution #6767 #9746 #9739]: #7863 -#9755 := [mp #9747 #9754]: #9709 -#9710 := (not #9709) -#9767 := (or #9708 #9710) -#8353 := (up_6 uf_15 #6904) -#9763 := (not #8353) -#9764 := (iff #184 #9763) -#9761 := (iff #183 #8353) -#9759 := (iff #8353 #183) -#9760 := [monotonicity #9758]: #9759 -#9762 := [symm #9760]: #9761 -#9765 := [monotonicity #9762]: #9764 -#3699 := (or #4202 #184) -#3694 := [def-axiom]: #3699 -#7018 := [unit-resolution #3694 #6215]: #184 -#9766 := [mp #7018 #9765]: #9763 -#3643 := (or #4214 #3958) -#3667 := [def-axiom]: #3643 -#7019 := [unit-resolution #3667 #6214]: #3958 -#9715 := (or #3963 #8353 #9708 #9710) -#9711 := (or #8353 #9710 #9708) -#9716 := (or #3963 #9711) -#9723 := (iff #9716 #9715) -#9712 := (or #8353 #9708 #9710) -#9718 := (or #3963 #9712) -#9721 := (iff #9718 #9715) -#9722 := [rewrite]: #9721 -#9719 := (iff #9716 #9718) -#9713 := (iff #9711 #9712) -#9714 := [rewrite]: #9713 -#9720 := [monotonicity #9714]: #9719 -#9724 := [trans #9720 #9722]: #9723 -#9717 := [quant-inst]: #9716 -#9725 := [mp #9717 #9724]: #9715 -#9768 := [unit-resolution #9725 #7019 #9766]: #9767 -#9769 := [unit-resolution #9768 #9755]: #9708 -#9770 := [hypothesis]: #7886 -#8219 := (* -1::int #8213) -#8387 := (+ #7892 #8219) -#8393 := (>= #8387 0::int) -#8386 := (= #7892 #8213) -#9773 := (= #8213 #7892) -#9771 := (= #8212 #7891) -#9772 := [monotonicity #9758]: #9771 -#9774 := [monotonicity #9772]: #9773 -#9775 := [symm #9774]: #8386 -#9776 := (not #8386) -#9777 := (or #9776 #8393) -#9778 := [th-lemma]: #9777 -#9779 := [unit-resolution #9778 #9775]: #8393 -#8385 := (>= #8213 0::int) -#9780 := (or #8385 #8269) -#9781 := [th-lemma]: #9780 -#9782 := [unit-resolution #9781 #9740]: #8385 -#9730 := (+ #1939 #9706) -#9737 := (<= #9730 0::int) -#9729 := (= #1939 #9705) -#9783 := (= #9705 #1939) -#9784 := [monotonicity #9750]: #9783 -#9785 := [symm #9784]: #9729 -#9786 := (not #9729) -#9787 := (or #9786 #9737) -#9788 := [th-lemma]: #9787 -#9789 := [unit-resolution #9788 #9785]: #9737 -#8369 := (* -1::int #8358) -#9504 := (+ #185 #8369) -#9300 := (>= #9504 0::int) -#9503 := (= #185 #8358) -#9790 := (= #8358 #185) -#9791 := [monotonicity #9758]: #9790 -#9792 := [symm #9791]: #9503 -#9793 := (not #9503) -#9794 := (or #9793 #9300) -#9795 := [th-lemma]: #9794 -#9796 := [unit-resolution #9795 #9792]: #9300 -#9797 := [th-lemma #9796 #9789 #9782 #9779 #9770 #9769]: false -#9799 := [lemma #9797]: #9798 -#9021 := [unit-resolution #9799 #9017 #9019]: #8269 -#8254 := (or #8074 #8270) -#369 := (<= #56 0::int) -#370 := (not #369) -#373 := (or #55 #370) -#3873 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #3825) #373) -#376 := (forall (vars (?x22 T2) (?x23 T2)) #373) -#3876 := (iff #376 #3873) -#3874 := (iff #373 #373) -#3875 := [refl]: #3874 -#3877 := [quant-intro #3875]: #3876 -#1515 := (~ #376 #376) -#1514 := (~ #373 #373) -#1552 := [refl]: #1514 -#1516 := [nnf-pos #1552]: #1515 -#61 := (< 0::int #56) -#62 := (implies #60 #61) -#63 := (forall (vars (?x22 T2) (?x23 T2)) #62) -#379 := (iff #63 #376) -#363 := (or #55 #61) -#366 := (forall (vars (?x22 T2) (?x23 T2)) #363) -#377 := (iff #366 #376) -#374 := (iff #363 #373) -#371 := (iff #61 #370) -#372 := [rewrite]: #371 -#375 := [monotonicity #372]: #374 -#378 := [quant-intro #375]: #377 -#367 := (iff #63 #366) -#364 := (iff #62 #363) -#365 := [rewrite]: #364 -#368 := [quant-intro #365]: #367 -#380 := [trans #368 #378]: #379 -#362 := [asserted]: #63 -#381 := [mp #362 #380]: #376 -#1553 := [mp~ #381 #1516]: #376 -#3878 := [mp #1553 #3877]: #3873 -#7324 := (not #3873) -#8256 := (or #7324 #8074 #8270) -#8251 := (or #8250 #8270) -#8300 := (or #7324 #8251) -#8316 := (iff #8300 #8256) -#8302 := (or #7324 #8254) -#8320 := (iff #8302 #8256) -#8321 := [rewrite]: #8320 -#8303 := (iff #8300 #8302) -#8249 := (iff #8251 #8254) -#8255 := [monotonicity #8253]: #8249 -#8304 := [monotonicity #8255]: #8303 -#8322 := [trans #8304 #8321]: #8316 -#8301 := [quant-inst]: #8300 -#8323 := [mp #8301 #8322]: #8256 -#9022 := [unit-resolution #8323 #3878]: #8254 -#9013 := [unit-resolution #9022 #9021]: #8074 -#8832 := [trans #9013 #9758]: #8831 -#9155 := [monotonicity #8832]: #9114 -#9158 := [symm #9155]: #9157 -#9154 := (= #1938 #185) -#5830 := (uf_24 uf_22) -#9156 := (= #5830 #185) -#5879 := (= #185 #5830) -#5833 := (uf_10 #5832) -#5849 := (>= #5833 0::int) -#5837 := (* -1::int #5833) -#5841 := (+ uf_9 #5837) -#5842 := (<= #5841 0::int) -#5881 := (or #5842 #5849) -#6879 := (= #5833 0::int) -decl uf_2 :: (-> T1 T2) -#5488 := (uf_1 uf_22 uf_11) -#8349 := (uf_2 #5488) -#8700 := (uf_1 #8349 #8349) -#8701 := (uf_10 #8700) -#9648 := (= #8701 0::int) -#9665 := (or #8154 #9648) -#9649 := (= #8349 #8349) -#9650 := (not #9649) -#9651 := (or #9650 #9648) -#9666 := (or #8154 #9651) -#9668 := (iff #9666 #9665) -#9670 := (iff #9665 #9665) -#9671 := [rewrite]: #9670 -#9663 := (iff #9651 #9648) -#9658 := (or false #9648) -#9661 := (iff #9658 #9648) -#9662 := [rewrite]: #9661 -#9659 := (iff #9651 #9658) -#9656 := (iff #9650 false) -#9654 := (iff #9650 #4945) -#9652 := (iff #9649 true) -#9653 := [rewrite]: #9652 -#9655 := [monotonicity #9653]: #9654 -#9657 := [trans #9655 #4943]: #9656 -#9660 := [monotonicity #9657]: #9659 -#9664 := [trans #9660 #9662]: #9663 -#9669 := [monotonicity #9664]: #9668 -#9672 := [trans #9669 #9671]: #9668 -#9667 := [quant-inst]: #9666 -#9673 := [mp #9667 #9672]: #9665 -#9675 := [unit-resolution #9673 #3872]: #9648 -#9684 := (= #5833 #8701) -#9682 := (= #5832 #8700) -#9680 := (= #8700 #5832) -#9048 := (= #8349 uf_22) -#8350 := (= uf_22 #8349) -#16 := (uf_2 #12) -#301 := (= #10 #16) -#3832 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #3825) #301) -#305 := (forall (vars (?x4 T2) (?x5 T2)) #301) -#3835 := (iff #305 #3832) -#3833 := (iff #301 #301) -#3834 := [refl]: #3833 -#3836 := [quant-intro #3834]: #3835 -#1501 := (~ #305 #305) -#1535 := (~ #301 #301) -#1536 := [refl]: #1535 -#1502 := [nnf-pos #1536]: #1501 -#17 := (= #16 #10) -#18 := (forall (vars (?x4 T2) (?x5 T2)) #17) -#306 := (iff #18 #305) -#303 := (iff #17 #301) -#304 := [rewrite]: #303 -#307 := [quant-intro #304]: #306 -#300 := [asserted]: #18 -#310 := [mp #300 #307]: #305 -#1537 := [mp~ #310 #1502]: #305 -#3837 := [mp #1537 #3836]: #3832 -#8156 := (not #3832) -#8355 := (or #8156 #8350) -#8356 := [quant-inst]: #8355 -#9047 := [unit-resolution #8356 #3837]: #8350 -#9049 := [symm #9047]: #9048 -#9681 := [monotonicity #9049 #9049]: #9680 -#9683 := [symm #9681]: #9682 -#9685 := [monotonicity #9683]: #9684 -#9686 := [trans #9685 #9675]: #6879 -#5907 := (not #5849) -#9687 := [hypothesis]: #5907 -#9688 := (not #6879) -#9689 := (or #9688 #5849) -#9690 := [th-lemma]: #9689 -#9691 := [unit-resolution #9690 #9687 #9686]: false -#9692 := [lemma #9691]: #5849 -#5908 := (or #5881 #5907) -#5909 := [def-axiom]: #5908 -#8604 := [unit-resolution #5909 #9692]: #5881 -#5884 := (not #5881) -#5887 := (or #5879 #5884) -#5890 := (or #4076 #5879 #5884) -#5838 := (+ #1235 #5837) -#5839 := (+ #185 #5838) -#5840 := (<= #5839 0::int) -#5877 := (or #5842 #5840) -#5878 := (not #5877) -#5880 := (or #5879 #5878) -#5891 := (or #4076 #5880) -#5898 := (iff #5891 #5890) -#5893 := (or #4076 #5887) -#5896 := (iff #5893 #5890) -#5897 := [rewrite]: #5896 -#5894 := (iff #5891 #5893) -#5888 := (iff #5880 #5887) -#5885 := (iff #5878 #5884) -#5882 := (iff #5877 #5881) -#5852 := (iff #5840 #5849) -#5846 := (<= #5837 0::int) -#5850 := (iff #5846 #5849) -#5851 := [rewrite]: #5850 -#5847 := (iff #5840 #5846) -#5844 := (= #5839 #5837) -#5845 := [rewrite]: #5844 -#5848 := [monotonicity #5845]: #5847 -#5853 := [trans #5848 #5851]: #5852 -#5883 := [monotonicity #5853]: #5882 -#5886 := [monotonicity #5883]: #5885 -#5889 := [monotonicity #5886]: #5888 -#5895 := [monotonicity #5889]: #5894 -#5899 := [trans #5895 #5897]: #5898 -#5892 := [quant-inst]: #5891 -#5900 := [mp #5892 #5899]: #5890 -#8599 := [unit-resolution #5900 #6216]: #5887 -#8605 := [unit-resolution #8599 #8604]: #5879 -#9120 := [symm #8605]: #9156 -#9121 := (= #1938 #5830) -#9149 := [monotonicity #8832]: #9121 -#9182 := [trans #9149 #9120]: #9154 -#9183 := [trans #9182 #9158]: #2494 -#9203 := [unit-resolution #8506 #9183]: false -#9204 := [lemma #9203]: #2497 -#3559 := (or #4202 #4196) -#3670 := [def-axiom]: #3559 -#7035 := [unit-resolution #3670 #6215]: #4196 -#6020 := (uf_1 uf_22 ?x61!13) -#6021 := (uf_10 #6020) -#6082 := (+ #1921 #6021) -#6083 := (+ #185 #6082) -#6104 := (>= #6083 0::int) -#6086 := (= #6083 0::int) -#6022 := (* -1::int #6021) -#6026 := (+ uf_9 #6022) -#6027 := (<= #6026 0::int) -#6070 := (not #6027) -#6042 := (+ #2484 #6021) -#6043 := (+ #185 #6042) -#6044 := (>= #6043 0::int) -#6049 := (or #6027 #6044) -#6052 := (not #6049) -#6032 := (= #1920 #1922) -#6196 := (not #6032) -#6195 := [hypothesis]: #2491 -#6199 := (or #6196 #2486) -#6200 := [th-lemma]: #6199 -#6201 := [unit-resolution #6200 #6195]: #6196 -#6058 := (or #4076 #6032 #6052) -#6023 := (+ #1235 #6022) -#6024 := (+ #1922 #6023) -#6025 := (<= #6024 0::int) -#6028 := (or #6027 #6025) -#6029 := (not #6028) -#6030 := (= #1922 #1920) -#6031 := (or #6030 #6029) -#6059 := (or #4076 #6031) -#6066 := (iff #6059 #6058) -#6055 := (or #6032 #6052) -#6061 := (or #4076 #6055) -#6064 := (iff #6061 #6058) -#6065 := [rewrite]: #6064 -#6062 := (iff #6059 #6061) -#6056 := (iff #6031 #6055) -#6053 := (iff #6029 #6052) -#6050 := (iff #6028 #6049) -#6047 := (iff #6025 #6044) -#6035 := (+ #1922 #6022) -#6036 := (+ #1235 #6035) -#6039 := (<= #6036 0::int) -#6045 := (iff #6039 #6044) -#6046 := [rewrite]: #6045 -#6040 := (iff #6025 #6039) -#6037 := (= #6024 #6036) -#6038 := [rewrite]: #6037 -#6041 := [monotonicity #6038]: #6040 -#6048 := [trans #6041 #6046]: #6047 -#6051 := [monotonicity #6048]: #6050 -#6054 := [monotonicity #6051]: #6053 -#6033 := (iff #6030 #6032) -#6034 := [rewrite]: #6033 -#6057 := [monotonicity #6034 #6054]: #6056 -#6063 := [monotonicity #6057]: #6062 -#6067 := [trans #6063 #6065]: #6066 -#6060 := [quant-inst]: #6059 -#6068 := [mp #6060 #6067]: #6058 -#6217 := [unit-resolution #6068 #6216 #6201]: #6052 -#6071 := (or #6049 #6070) -#6072 := [def-axiom]: #6071 -#6218 := [unit-resolution #6072 #6217]: #6070 -#6073 := (not #6044) -#6074 := (or #6049 #6073) -#6075 := [def-axiom]: #6074 -#6219 := [unit-resolution #6075 #6217]: #6073 -#6089 := (or #6027 #6044 #6086) -#3691 := (or #4202 #4063) -#3664 := [def-axiom]: #3691 -#6220 := [unit-resolution #3664 #6215]: #4063 -#6092 := (or #4068 #6027 #6044 #6086) -#6078 := (+ #6021 #1921) -#6079 := (+ #185 #6078) -#6080 := (= #6079 0::int) -#6081 := (or #6027 #6025 #6080) -#6093 := (or #4068 #6081) -#6100 := (iff #6093 #6092) -#6095 := (or #4068 #6089) -#6098 := (iff #6095 #6092) -#6099 := [rewrite]: #6098 -#6096 := (iff #6093 #6095) -#6090 := (iff #6081 #6089) -#6087 := (iff #6080 #6086) -#6084 := (= #6079 #6083) -#6085 := [rewrite]: #6084 -#6088 := [monotonicity #6085]: #6087 -#6091 := [monotonicity #6048 #6088]: #6090 -#6097 := [monotonicity #6091]: #6096 -#6101 := [trans #6097 #6099]: #6100 -#6094 := [quant-inst]: #6093 -#6102 := [mp #6094 #6101]: #6092 -#6221 := [unit-resolution #6102 #6220]: #6089 -#6222 := [unit-resolution #6221 #6219 #6218]: #6086 -#6223 := (not #6086) -#6224 := (or #6223 #6104) -#6225 := [th-lemma]: #6224 -#6226 := [unit-resolution #6225 #6222]: #6104 -#6069 := (>= #2485 0::int) -#6227 := (or #6069 #2486) -#6228 := [th-lemma]: #6227 -#6229 := [unit-resolution #6228 #6195]: #6069 -#6230 := [th-lemma #6229 #6219 #6226]: false -#6231 := [lemma #6230]: #2486 -#3697 := (or #4199 #2491 #4193) -#3698 := [def-axiom]: #3697 -#7036 := [unit-resolution #3698 #6231 #7035]: #4193 -#3712 := (or #4190 #4184) -#3713 := [def-axiom]: #3712 -#13484 := [unit-resolution #3713 #7036]: #4184 -#3708 := (or #4187 #2500 #4181) -#3709 := [def-axiom]: #3708 -#13485 := [unit-resolution #3709 #13484]: #4184 -#13486 := [unit-resolution #13485 #9204]: #4181 -#3719 := (or #4178 #4088) -#3720 := [def-axiom]: #3719 -#13487 := [unit-resolution #3720 #13486]: #4088 -#21789 := (or #4093 #9640 #10311) -#10307 := (= #10301 #2032) -#10310 := (or #9640 #10307) -#22142 := (or #4093 #10310) -#16210 := (iff #22142 #21789) -#22191 := (or #4093 #10337) -#22697 := (iff #22191 #21789) -#17223 := [rewrite]: #22697 -#22172 := (iff #22142 #22191) -#10338 := (iff #10310 #10337) -#10335 := (iff #10307 #10311) -#10336 := [rewrite]: #10335 -#10339 := [monotonicity #10336]: #10338 -#22553 := [monotonicity #10339]: #22172 -#20892 := [trans #22553 #17223]: #16210 -#19383 := [quant-inst]: #22142 -#19478 := [mp #19383 #20892]: #21789 -#30520 := [unit-resolution #19478 #13487]: #10337 -#30521 := [unit-resolution #30520 #30519]: #9640 -#30528 := [mp #30521 #30527]: #30208 -#30205 := (not #14006) -#30206 := (or #30205 #13996 #30202) -#30207 := [def-axiom]: #30206 -#30529 := [unit-resolution #30207 #30528 #30517]: #30202 -#30200 := (or #14001 #30199) -#30201 := [def-axiom]: #30200 -#30530 := [unit-resolution #30201 #30529]: #30199 -#30279 := (or #13994 #30274) -#30282 := (or #7324 #13994 #30274) -#30275 := (= #6904 ?x75!20) -#30276 := (or #30275 #30274) -#30283 := (or #7324 #30276) -#30290 := (iff #30283 #30282) -#30285 := (or #7324 #30279) -#30288 := (iff #30285 #30282) -#30289 := [rewrite]: #30288 -#30286 := (iff #30283 #30285) -#30280 := (iff #30276 #30279) -#30277 := (iff #30275 #13994) -#30278 := [rewrite]: #30277 -#30281 := [monotonicity #30278]: #30280 -#30287 := [monotonicity #30281]: #30286 -#30291 := [trans #30287 #30289]: #30290 -#30284 := [quant-inst]: #30283 -#30292 := [mp #30284 #30291]: #30282 -#30531 := [unit-resolution #30292 #3878]: #30279 -#30532 := [unit-resolution #30531 #30530]: #30274 -#10732 := (* -1::int #10701) -#10440 := (uf_1 uf_22 ?x75!20) -#10441 := (uf_10 #10440) -#17909 := (+ #10441 #10732) -#23144 := (>= #17909 0::int) -#15426 := (= #10441 #10701) -#30535 := (= #10701 #10441) -#30533 := (= #10700 #10440) -#30534 := [monotonicity #9758]: #30533 -#30536 := [monotonicity #30534]: #30535 -#30537 := [symm #30536]: #15426 -#30538 := (not #15426) -#30539 := (or #30538 #23144) -#30540 := [th-lemma]: #30539 -#30541 := [unit-resolution #30540 #30537]: #23144 -#5831 := (* -1::int #5830) -#5854 := (+ #5831 #5833) -#5855 := (+ #185 #5854) -#5876 := (>= #5855 0::int) -#5901 := (+ #185 #5831) -#5903 := (>= #5901 0::int) -#3710 := (or #4190 #4079) -#3711 := [def-axiom]: #3710 -#7037 := [unit-resolution #3711 #7036]: #4079 -#6127 := (or #4084 #5903) -#6128 := [quant-inst]: #6127 -#6900 := [unit-resolution #6128 #7037]: #5903 -#30542 := (not #5903) -#30543 := (or #5876 #5907 #30542) -#30544 := [th-lemma]: #30543 -#30545 := [unit-resolution #30544 #9692 #6900]: #5876 -#6249 := (<= #5833 0::int) -#6242 := (or #8154 #6879) -#5994 := (= uf_22 uf_22) -#6880 := (not #5994) -#6881 := (or #6880 #6879) -#6243 := (or #8154 #6881) -#6245 := (iff #6243 #6242) -#6241 := (iff #6242 #6242) -#6246 := [rewrite]: #6241 -#6891 := (iff #6881 #6879) -#6886 := (or false #6879) -#6889 := (iff #6886 #6879) -#6890 := [rewrite]: #6889 -#6887 := (iff #6881 #6886) -#6884 := (iff #6880 false) -#6882 := (iff #6880 #4945) -#5997 := (iff #5994 true) -#5998 := [rewrite]: #5997 -#6883 := [monotonicity #5998]: #6882 -#6885 := [trans #6883 #4943]: #6884 -#6888 := [monotonicity #6885]: #6887 -#6892 := [trans #6888 #6890]: #6891 -#6240 := [monotonicity #6892]: #6245 -#6247 := [trans #6240 #6246]: #6245 -#6244 := [quant-inst]: #6243 -#6248 := [mp #6244 #6247]: #6242 -#22629 := [unit-resolution #6248 #3872]: #6879 -#22630 := (or #9688 #6249) -#22631 := [th-lemma]: #22630 -#22632 := [unit-resolution #22631 #22629]: #6249 -#7858 := (+ #5830 #7883) -#7614 := (>= #7858 0::int) -#8012 := (= #5830 #8027) -#23496 := (= #8027 #5830) -#23497 := [monotonicity #9758]: #23496 -#23498 := [symm #23497]: #8012 -#23499 := (not #8012) -#30546 := (or #23499 #7614) -#30547 := [th-lemma]: #30546 -#30548 := [unit-resolution #30547 #23498]: #7614 -#10675 := (+ #2033 #10441) -#10676 := (+ #185 #10675) -#22250 := (<= #10676 0::int) -#10649 := (= #10676 0::int) -#10442 := (* -1::int #10441) -#10469 := (+ uf_9 #10442) -#10470 := (<= #10469 0::int) -#21628 := (not #10470) -#10503 := (+ #10403 #10441) -#10504 := (+ #185 #10503) -#10499 := (>= #10504 0::int) -#10509 := (or #10470 #10499) -#10515 := (not #10509) -#10520 := (or #10311 #10515) -#15425 := (or #4076 #10311 #10515) -#10443 := (+ #1235 #10442) -#10467 := (+ #10301 #10443) -#10468 := (<= #10467 0::int) -#10471 := (or #10470 #10468) -#10466 := (not #10471) -#10472 := (or #10307 #10466) -#22687 := (or #4076 #10472) -#19499 := (iff #22687 #15425) -#21215 := (or #4076 #10520) -#21268 := (iff #21215 #15425) -#21592 := [rewrite]: #21268 -#21283 := (iff #22687 #21215) -#10522 := (iff #10472 #10520) -#10518 := (iff #10466 #10515) -#10516 := (iff #10471 #10509) -#10507 := (iff #10468 #10499) -#10473 := (+ #10301 #10442) -#10474 := (+ #1235 #10473) -#10500 := (<= #10474 0::int) -#10505 := (iff #10500 #10499) -#10506 := [rewrite]: #10505 -#10501 := (iff #10468 #10500) -#10475 := (= #10467 #10474) -#10476 := [rewrite]: #10475 -#10502 := [monotonicity #10476]: #10501 -#10508 := [trans #10502 #10506]: #10507 -#10517 := [monotonicity #10508]: #10516 -#10519 := [monotonicity #10517]: #10518 -#10523 := [monotonicity #10336 #10519]: #10522 -#21447 := [monotonicity #10523]: #21283 -#21457 := [trans #21447 #21592]: #19499 -#20648 := [quant-inst]: #22687 -#21455 := [mp #20648 #21457]: #15425 -#30549 := [unit-resolution #21455 #6216]: #10520 -#30550 := [unit-resolution #30549 #30519]: #10515 -#22684 := (or #10509 #21628) -#20894 := [def-axiom]: #22684 -#30551 := [unit-resolution #20894 #30550]: #21628 -#22445 := (not #10499) -#21601 := (or #10509 #22445) -#19500 := [def-axiom]: #21601 -#30552 := [unit-resolution #19500 #30550]: #22445 -#10680 := (or #10470 #10499 #10649) -#22909 := (or #4068 #10470 #10499 #10649) -#10641 := (+ #10441 #2033) -#10642 := (+ #185 #10641) -#10643 := (= #10642 0::int) -#10650 := (or #10470 #10468 #10643) -#22907 := (or #4068 #10650) -#21602 := (iff #22907 #22909) -#22692 := (or #4068 #10680) -#22690 := (iff #22692 #22909) -#22915 := [rewrite]: #22690 -#22680 := (iff #22907 #22692) -#10681 := (iff #10650 #10680) -#10679 := (iff #10643 #10649) -#10677 := (= #10642 #10676) -#10678 := [rewrite]: #10677 -#10674 := [monotonicity #10678]: #10679 -#10682 := [monotonicity #10508 #10674]: #10681 -#22900 := [monotonicity #10682]: #22680 -#21458 := [trans #22900 #22915]: #21602 -#22696 := [quant-inst]: #22907 -#21404 := [mp #22696 #21458]: #22909 -#30553 := [unit-resolution #21404 #6220]: #10680 -#30554 := [unit-resolution #30553 #30552 #30551]: #10649 -#30555 := (not #10649) -#30556 := (or #30555 #22250) -#30557 := [th-lemma]: #30556 -#30558 := [unit-resolution #30557 #30554]: #22250 -#30563 := (not #23144) -#30562 := (not #5876) -#23491 := (not #6249) -#30561 := (not #7614) -#30560 := (not #22250) -#30564 := (or #30559 #30560 #30561 #23491 #30562 #30273 #30563) -#30565 := [th-lemma]: #30564 -#30566 := [unit-resolution #30565 #30558 #30548 #22632 #30545 #30541 #30532]: #30559 -#10720 := (+ #7883 #10732) -#10721 := (+ #2032 #10720) -#10722 := (= #10721 0::int) -#17953 := (>= #10721 0::int) -#30567 := (or #17953 #30560 #30561 #23491 #30562 #30563) -#30568 := [th-lemma]: #30567 -#30569 := [unit-resolution #30568 #30558 #30548 #22632 #30545 #30541]: #17953 -#17886 := (<= #10721 0::int) -#17849 := (<= #17909 0::int) -#30570 := (or #30538 #17849) -#30571 := [th-lemma]: #30570 -#30572 := [unit-resolution #30571 #30537]: #17849 -#5875 := (<= #5855 0::int) -#5902 := (<= #5901 0::int) -#23487 := (not #5879) -#23488 := (or #23487 #5902) -#23489 := [th-lemma]: #23488 -#23490 := [unit-resolution #23489 #8605]: #5902 -#23492 := (not #5902) -#23493 := (or #5875 #23491 #23492) -#23494 := [th-lemma]: #23493 -#23495 := [unit-resolution #23494 #23490 #22632]: #5875 -#7859 := (<= #7858 0::int) -#23500 := (or #23499 #7859) -#23501 := [th-lemma]: #23500 -#23502 := [unit-resolution #23501 #23498]: #7859 -#22934 := (>= #10676 0::int) -#30573 := (or #30555 #22934) -#30574 := [th-lemma]: #30573 -#30575 := [unit-resolution #30574 #30554]: #22934 -#30579 := (not #17849) -#30578 := (not #5875) -#30577 := (not #7859) -#30576 := (not #22934) -#30580 := (or #17886 #30576 #30577 #5907 #30578 #30579) -#30581 := [th-lemma]: #30580 -#30582 := [unit-resolution #30581 #30575 #23502 #23495 #9692 #30572]: #17886 -#30584 := (not #17953) -#30583 := (not #17886) -#30585 := (or #10722 #30583 #30584) -#30586 := [th-lemma]: #30585 -#30587 := [unit-resolution #30586 #30582 #30569]: #10722 -#10725 := (not #10722) -#30589 := (or #10697 #10725) -#8020 := (up_6 uf_23 #6904) -#5971 := (up_6 #191 uf_22) -#29386 := (iff #5971 #8020) -#29384 := (iff #8020 #5971) -#29385 := [monotonicity #7417 #9758]: #29384 -#29387 := [symm #29385]: #29386 +#361 := (iff #59 #358) +#334 := (= 0::int #56) +#345 := (or #60 #334) +#350 := (forall (vars (?x20 T2) (?x21 T2)) #345) +#359 := (iff #350 #358) +#356 := (iff #345 #355) +#353 := (iff #334 #57) +#354 := [rewrite]: #353 +#357 := [monotonicity #354]: #356 +#360 := [quant-intro #357]: #359 +#351 := (iff #59 #350) +#348 := (iff #58 #345) +#342 := (implies #55 #334) +#346 := (iff #342 #345) +#347 := [rewrite]: #346 +#343 := (iff #58 #342) +#340 := (iff #57 #334) +#341 := [rewrite]: #340 +#344 := [monotonicity #341]: #343 +#349 := [trans #344 #347]: #348 +#352 := [quant-intro #349]: #351 +#362 := [trans #352 #360]: #361 +#332 := [asserted]: #59 +#363 := [mp #332 #362]: #358 +#1654 := [mp~ #363 #1653]: #358 +#4028 := [mp #1654 #4027]: #4023 +#7068 := (not #4023) +#8402 := (or #7068 #8259 #8398) +#8403 := (or #7068 #8399) +#8405 := (iff #8403 #8402) +#8406 := [rewrite]: #8405 +#8404 := [quant-inst]: #8403 +#8407 := [mp #8404 #8406]: #8402 +#8986 := [unit-resolution #8407 #4028]: #8399 +#8987 := [unit-resolution #8986 #8946]: #8398 +#9015 := (not #8398) +#9016 := (or #9015 #8408) +#8982 := [th-lemma]: #9016 +#9017 := [unit-resolution #8982 #8987]: #8408 +#9014 := [th-lemma #9017 #10121 #8977]: false +#9021 := [lemma #9014]: #9020 +#10378 := [unit-resolution #9021 #10377]: #8259 +#7164 := (up_6 uf_15 ?x63!14) +#8193 := (or #7164 #8188) +#8173 := (up_6 #183 ?x63!14) +#8206 := (iff #8173 #8193) +#8209 := (or #6538 #8206) +#8130 := (ite #8129 #3681 #7164) +#8187 := (iff #8173 #8130) +#8204 := (or #6538 #8187) +#8211 := (iff #8204 #8209) +#8213 := (iff #8209 #8209) +#8214 := [rewrite]: #8213 +#8207 := (iff #8187 #8206) +#8196 := (iff #8130 #8193) +#8191 := (ite #8188 true #7164) +#8194 := (iff #8191 #8193) +#8195 := [rewrite]: #8194 +#8186 := (iff #8130 #8191) +#8189 := (iff #8129 #8188) +#8190 := [rewrite]: #8189 +#8192 := [monotonicity #8190 #3673]: #8186 +#8205 := [trans #8192 #8195]: #8196 +#8208 := [monotonicity #8205]: #8207 +#8212 := [monotonicity #8208]: #8211 +#8246 := [trans #8212 #8214]: #8211 +#8210 := [quant-inst]: #8204 +#8247 := [mp #8210 #8246]: #8209 +#8553 := [unit-resolution #8247 #4007]: #8206 +#8674 := (iff #2056 #8173) +#8666 := (iff #8173 #2056) +#10382 := [monotonicity #10381]: #8666 +#10385 := [symm #10382]: #8674 +#3925 := (or #2661 #2056) +#3926 := [def-axiom]: #3925 +#10379 := [unit-resolution #3926 #10371]: #2056 +#10471 := [mp #10379 #10385]: #8173 +#8290 := (not #8173) +#8287 := (not #8206) +#8291 := (or #8287 #8290 #8193) +#8286 := [def-axiom]: #8291 +#10472 := [unit-resolution #8286 #10471 #8553]: #8193 +#8262 := (not #8193) +#10474 := (or #8188 #7637 #8528 #8262) +#10142 := (or #8188 #7637 #4113 #8528 #8262) +#8400 := (uf_3 #7476) +#10070 := (uf_4 uf_14 #8400) +#10071 := (* -1::int #10070) +#8525 := (uf_4 uf_14 #8409) +#10072 := (+ #8525 #10071) +#10073 := (>= #10072 0::int) +#10074 := (up_6 uf_15 #8400) +#10112 := (iff #7164 #10074) +#10110 := (iff #10074 #7164) +#10108 := (= #8400 ?x63!14) +#8401 := (= ?x63!14 #8400) +#8411 := (or #7756 #8401) +#8412 := [quant-inst]: #8411 +#10107 := [unit-resolution #8412 #3987]: #8401 +#10109 := [symm #10107]: #10108 +#10111 := [monotonicity #10109]: #10110 +#10113 := [symm #10111]: #10112 +#10104 := [hypothesis]: #8193 +#10105 := [hypothesis]: #8259 +#8263 := (or #8262 #7164 #8188) +#8264 := [def-axiom]: #8263 +#10106 := [unit-resolution #8264 #10105 #10104]: #7164 +#10114 := [mp #10106 #10113]: #10074 +#10075 := (not #10074) +#10118 := (or #10073 #10075) +#10115 := (not #8528) +#10116 := [hypothesis]: #10115 +#10117 := [hypothesis]: #4108 +#10080 := (or #4113 #8528 #10073 #10075) +#10076 := (or #8528 #10075 #10073) +#10081 := (or #4113 #10076) +#10088 := (iff #10081 #10080) +#10077 := (or #8528 #10073 #10075) +#10083 := (or #4113 #10077) +#10086 := (iff #10083 #10080) +#10087 := [rewrite]: #10086 +#10084 := (iff #10081 #10083) +#10078 := (iff #10076 #10077) +#10079 := [rewrite]: #10078 +#10085 := [monotonicity #10079]: #10084 +#10089 := [trans #10085 #10087]: #10088 +#10082 := [quant-inst]: #10081 +#10090 := [mp #10082 #10089]: #10080 +#10119 := [unit-resolution #10090 #10117 #10116]: #10118 +#10120 := [unit-resolution #10119 #10114]: #10073 +#8157 := (<= #7477 0::int) +#8158 := (not #8157) +#8160 := (or #8158 #8188) +#8163 := (or #7051 #8158 #8188) +#8159 := (or #8188 #8158) +#8164 := (or #7051 #8159) +#8222 := (iff #8164 #8163) +#8215 := (or #7051 #8160) +#8218 := (iff #8215 #8163) +#8219 := [rewrite]: #8218 +#8216 := (iff #8164 #8215) +#8161 := (iff #8159 #8160) +#8162 := [rewrite]: #8161 +#8217 := [monotonicity #8162]: #8216 +#8347 := [trans #8217 #8219]: #8222 +#8166 := [quant-inst]: #8164 +#8397 := [mp #8166 #8347]: #8163 +#10122 := [unit-resolution #8397 #4034]: #8160 +#10123 := [unit-resolution #10122 #10105]: #8158 +#10124 := (or #8408 #8157) +#10125 := [th-lemma]: #10124 +#10126 := [unit-resolution #10125 #10123]: #8408 +#10095 := (+ #2054 #10071) +#10102 := (<= #10095 0::int) +#10094 := (= #2054 #10070) +#10127 := (= #10070 #2054) +#10128 := [monotonicity #10109]: #10127 +#10129 := [symm #10128]: #10094 +#10130 := (not #10094) +#10131 := (or #10130 #10102) +#10132 := [th-lemma]: #10131 +#10133 := [unit-resolution #10132 #10129]: #10102 +#8536 := (* -1::int #8525) +#8803 := (+ #177 #8536) +#8816 := (>= #8803 0::int) +#8802 := (= #177 #8525) +#10134 := (= #8525 #177) +#8698 := (= #8409 uf_22) +#8699 := [symm #8694]: #8698 +#10135 := [monotonicity #8699]: #10134 +#10136 := [symm #10135]: #8802 +#10137 := (not #8802) +#10138 := (or #10137 #8816) +#10139 := [th-lemma]: #10138 +#10140 := [unit-resolution #10139 #10136]: #8816 +#10141 := [th-lemma #10140 #10133 #10126 #10121 #10120]: false +#10143 := [lemma #10141]: #10142 +#10475 := [unit-resolution #10143 #10473]: #10474 +#10476 := [unit-resolution #10475 #10472 #10378 #10377]: #8528 +#10479 := [mp #10476 #10478]: #175 +#10480 := [unit-resolution #10368 #10479]: false +#10481 := [lemma #10480]: #2661 +#3868 := (or #4340 #4334) +#3869 := [def-axiom]: #3868 +#10828 := [unit-resolution #3869 #10827]: #4334 +#3864 := (or #4337 #2664 #4331) +#3865 := [def-axiom]: #3864 +#10829 := [unit-resolution #3865 #10828]: #4334 +#10830 := [unit-resolution #10829 #10481]: #4331 +#10976 := (or #4328 #4307) +#3837 := (or #4364 #4091) +#3817 := [def-axiom]: #3837 +#8978 := [unit-resolution #3817 #10034]: #4091 +#7751 := (or #4328 #825 #4226 #4218 #4096 #4307 #1547) +#4645 := (>= #177 0::int) +#7721 := [hypothesis]: #4091 +#6301 := (or #4096 #4645) +#6302 := [quant-inst]: #6301 +#7722 := [unit-resolution #6302 #7721]: #4645 +#7202 := (uf_1 uf_22 ?x65!15) +#7203 := (uf_10 #7202) +#4856 := (* -1::int #2077) +#7255 := (+ #4856 #7203) +#7256 := (+ #177 #7255) +#7300 := (<= #7256 0::int) +#7273 := (= #7256 0::int) +#6830 := (uf_4 uf_14 ?x65!15) +#7035 := (* -1::int #6830) +#7249 := (+ #7035 #7203) +#7250 := (+ #177 #7249) +#7251 := (>= #7250 0::int) +#7345 := (not #7251) +#7206 := (* -1::int #7203) +#7210 := (+ uf_9 #7206) +#7261 := (<= #7210 0::int) +#7351 := (or #7251 #7261) +#7356 := (not #7351) +#6838 := (= #2077 #6830) +#8359 := (not #6838) +#7036 := (+ #2077 #7035) +#7870 := (>= #7036 0::int) +#7878 := (not #7870) +#7489 := (>= #6830 0::int) +#7492 := (or #4096 #7489) +#7487 := [quant-inst]: #7492 +#7726 := [unit-resolution #7487 #7721]: #7489 +#7727 := [hypothesis]: #4304 +#7728 := [hypothesis]: #4331 +#3873 := (or #4328 #4322) +#3877 := [def-axiom]: #3873 +#7729 := [unit-resolution #3877 #7728]: #4322 +#4709 := (= #105 #204) +#7748 := (iff #4709 #205) +#7747 := [commutativity]: #1303 +#7740 := (iff #4709 #670) +#7725 := [hypothesis]: #106 +#7746 := [monotonicity #7725]: #7740 +#7749 := [trans #7746 #7747]: #7748 +#4721 := (<= #105 0::int) +#7730 := (or #1547 #4721) +#7741 := [th-lemma]: #7730 +#7742 := [unit-resolution #7741 #7725]: #4721 +#7112 := [hypothesis]: #184 +#3875 := (or #4328 #4238) +#3876 := [def-axiom]: #3875 +#7743 := [unit-resolution #3876 #7728]: #4238 +#7161 := (not #4645) +#7160 := (not #4721) +#7162 := (or #4709 #7160 #7161 #825 #4243 #4218) +#4667 := (uf_1 uf_22 uf_11) +#4668 := (uf_10 #4667) +#6983 := (<= #4668 0::int) +#6984 := (not #6983) +#4606 := (= uf_11 uf_22) +#6828 := (not #4606) +#4650 := (up_6 uf_15 uf_11) +#7333 := (or #4606 #4650) +#6837 := (not #7333) +#7328 := (up_6 #183 uf_11) +#7338 := (iff #7328 #7333) +#3737 := (or #6538 #7338) +#7327 := (ite #4606 #3681 #4650) +#7329 := (iff #7328 #7327) +#6818 := (or #6538 #7329) +#6814 := (iff #6818 #3737) +#6821 := (iff #3737 #3737) +#6822 := [rewrite]: #6821 +#7339 := (iff #7329 #7338) +#7336 := (iff #7327 #7333) +#7330 := (ite #4606 true #4650) +#7334 := (iff #7330 #7333) +#7335 := [rewrite]: #7334 +#7331 := (iff #7327 #7330) +#7332 := [monotonicity #3673]: #7331 +#7337 := [trans #7332 #7335]: #7336 +#7340 := [monotonicity #7337]: #7339 +#6820 := [monotonicity #7340]: #6814 +#6823 := [trans #6820 #6822]: #6814 +#6819 := [quant-inst]: #6818 +#6824 := [mp #6819 #6823]: #3737 +#7083 := [unit-resolution #6824 #4007]: #7338 +#6842 := (not #7328) +#4795 := (up_6 uf_23 uf_11) +#4796 := (not #4795) +#7169 := (iff #4796 #6842) +#7167 := (iff #4795 #7328) +#7115 := (iff #7328 #4795) +#7114 := [symm #7112]: #7113 +#7116 := [monotonicity #7114]: #7115 +#7168 := [symm #7116]: #7167 +#7170 := [monotonicity #7168]: #7169 +#7084 := (not #4709) +#7109 := [hypothesis]: #7084 +#4798 := (or #4709 #4796) +#7110 := [hypothesis]: #4238 +#6714 := (or #4243 #4709 #4796) +#4797 := (or #4796 #4709) +#6729 := (or #4243 #4797) +#6720 := (iff #6729 #6714) +#6728 := (or #4243 #4798) +#6718 := (iff #6728 #6714) +#6719 := [rewrite]: #6718 +#6731 := (iff #6729 #6728) +#4799 := (iff #4797 #4798) +#4800 := [rewrite]: #4799 +#6717 := [monotonicity #4800]: #6731 +#6721 := [trans #6717 #6719]: #6720 +#6730 := [quant-inst]: #6729 +#6716 := [mp #6730 #6721]: #6714 +#7111 := [unit-resolution #6716 #7110]: #4798 +#7106 := [unit-resolution #7111 #7109]: #4796 +#7171 := [mp #7106 #7170]: #6842 +#6840 := (not #7338) +#6841 := (or #6840 #7328 #6837) +#6836 := [def-axiom]: #6841 +#7172 := [unit-resolution #6836 #7171 #7083]: #6837 +#6829 := (or #7333 #6828) +#6827 := [def-axiom]: #6829 +#7173 := [unit-resolution #6827 #7172]: #6828 +#6986 := (or #4606 #6984) +#6989 := (or #7051 #4606 #6984) +#4604 := (= uf_22 uf_11) +#6985 := (or #4604 #6984) +#6990 := (or #7051 #6985) +#6978 := (iff #6990 #6989) +#6974 := (or #7051 #6986) +#6977 := (iff #6974 #6989) +#6972 := [rewrite]: #6977 +#6975 := (iff #6990 #6974) +#6987 := (iff #6985 #6986) +#4607 := (iff #4604 #4606) +#4608 := [rewrite]: #4607 +#6988 := [monotonicity #4608]: #6987 +#6976 := [monotonicity #6988]: #6975 +#6979 := [trans #6976 #6972]: #6978 +#6973 := [quant-inst]: #6990 +#6980 := [mp #6973 #6979]: #6989 +#7174 := [unit-resolution #6980 #4034]: #6986 +#7175 := [unit-resolution #7174 #7173]: #6984 +#4672 := (* -1::int #4668) +#4673 := (+ #1268 #4672) +#4674 := (+ #105 #4673) +#4675 := (<= #4674 0::int) +#6530 := (not #4675) +#4676 := (+ uf_9 #4672) +#4677 := (<= #4676 0::int) +#4711 := (or #4675 #4677) +#4714 := (not #4711) +#4717 := (or #4709 #4714) +#6326 := (or #4218 #4709 #4714) +#4707 := (or #4677 #4675) +#4708 := (not #4707) +#4710 := (or #4709 #4708) +#6355 := (or #4218 #4710) +#6360 := (iff #6355 #6326) +#6357 := (or #4218 #4717) +#6354 := (iff #6357 #6326) +#6359 := [rewrite]: #6354 +#6352 := (iff #6355 #6357) +#4718 := (iff #4710 #4717) +#4715 := (iff #4708 #4714) +#4712 := (iff #4707 #4711) +#4713 := [rewrite]: #4712 +#4716 := [monotonicity #4713]: #4715 +#4719 := [monotonicity #4716]: #4718 +#6358 := [monotonicity #4719]: #6352 +#6361 := [trans #6358 #6359]: #6360 +#6356 := [quant-inst]: #6355 +#6362 := [mp #6356 #6361]: #6326 +#7155 := [unit-resolution #6362 #6754]: #4717 +#7156 := [unit-resolution #7155 #7109]: #4714 +#6531 := (or #4711 #6530) +#6532 := [def-axiom]: #6531 +#7157 := [unit-resolution #6532 #7156]: #6530 +#7158 := [hypothesis]: #4645 +#7159 := [hypothesis]: #4721 +#7154 := [th-lemma #7159 #7158 #7157 #7175]: false +#7163 := [lemma #7154]: #7162 +#7744 := [unit-resolution #7163 #7743 #7722 #7112 #7742 #6754]: #4709 +#7745 := [mp #7744 #7749]: #205 +#3872 := (or #4325 #1305 #4319) +#3874 := [def-axiom]: #3872 +#7750 := [unit-resolution #3874 #7745 #7729]: #4319 +#3879 := (or #4316 #4310) +#3881 := [def-axiom]: #3879 +#7761 := [unit-resolution #3881 #7750]: #4310 +#3893 := (or #4313 #2079 #4307) +#3887 := [def-axiom]: #3893 +#7762 := [unit-resolution #3887 #7761 #7727]: #2079 +#7916 := (not #7489) +#7917 := (or #7878 #2078 #7916) +#7875 := [hypothesis]: #7489 +#7876 := [hypothesis]: #7870 +#8371 := [hypothesis]: #2079 +#7877 := [th-lemma #8371 #7876 #7875]: false +#7918 := [lemma #7877]: #7917 +#7763 := [unit-resolution #7918 #7762 #7726]: #7878 +#7796 := (or #8359 #7870) +#7792 := [hypothesis]: #7878 +#7793 := [hypothesis]: #6838 +#7797 := [th-lemma]: #7796 +#7798 := [unit-resolution #7797 #7793 #7792]: false +#7799 := [lemma #7798]: #7796 +#7790 := [unit-resolution #7799 #7763]: #8359 +#7359 := (or #6838 #7356) +#7362 := (or #4218 #6838 #7356) +#7207 := (+ #1268 #7206) +#7208 := (+ #6830 #7207) +#7209 := (<= #7208 0::int) +#7304 := (or #7261 #7209) +#7305 := (not #7304) +#6831 := (= #6830 #2077) +#7306 := (or #6831 #7305) +#7363 := (or #4218 #7306) +#7343 := (iff #7363 #7362) +#7365 := (or #4218 #7359) +#7368 := (iff #7365 #7362) +#7342 := [rewrite]: #7368 +#7366 := (iff #7363 #7365) +#7360 := (iff #7306 #7359) +#7357 := (iff #7305 #7356) +#7354 := (iff #7304 #7351) +#7307 := (or #7261 #7251) +#7352 := (iff #7307 #7351) +#7353 := [rewrite]: #7352 +#7308 := (iff #7304 #7307) +#7248 := (iff #7209 #7251) +#7263 := (+ #6830 #7206) +#7264 := (+ #1268 #7263) +#7267 := (<= #7264 0::int) +#7252 := (iff #7267 #7251) +#7253 := [rewrite]: #7252 +#7268 := (iff #7209 #7267) +#7265 := (= #7208 #7264) +#7266 := [rewrite]: #7265 +#7269 := [monotonicity #7266]: #7268 +#7254 := [trans #7269 #7253]: #7248 +#7350 := [monotonicity #7254]: #7308 +#7355 := [trans #7350 #7353]: #7354 +#7358 := [monotonicity #7355]: #7357 +#6839 := (iff #6831 #6838) +#6843 := [rewrite]: #6839 +#7361 := [monotonicity #6843 #7358]: #7360 +#7367 := [monotonicity #7361]: #7366 +#7341 := [trans #7367 #7342]: #7343 +#7364 := [quant-inst]: #7363 +#7344 := [mp #7364 #7341]: #7362 +#8361 := [unit-resolution #7344 #6754]: #7359 +#7794 := [unit-resolution #8361 #7790]: #7356 +#7346 := (or #7351 #7345) +#7347 := [def-axiom]: #7346 +#7789 := [unit-resolution #7347 #7794]: #7345 +#7348 := (not #7261) +#7349 := (or #7351 #7348) +#7411 := [def-axiom]: #7349 +#7795 := [unit-resolution #7411 #7794]: #7348 +#7313 := (or #7251 #7261 #7273) +#7318 := (or #4226 #7251 #7261 #7273) +#7204 := (+ #7203 #4856) +#7205 := (+ #177 #7204) +#7200 := (= #7205 0::int) +#7262 := (or #7261 #7209 #7200) +#7319 := (or #4226 #7262) +#7326 := (iff #7319 #7318) +#7321 := (or #4226 #7313) +#7324 := (iff #7321 #7318) +#7325 := [rewrite]: #7324 +#7322 := (iff #7319 #7321) +#7316 := (iff #7262 #7313) +#7310 := (or #7261 #7251 #7273) +#7314 := (iff #7310 #7313) +#7315 := [rewrite]: #7314 +#7311 := (iff #7262 #7310) +#7274 := (iff #7200 #7273) +#7257 := (= #7205 #7256) +#7258 := [rewrite]: #7257 +#7309 := [monotonicity #7258]: #7274 +#7312 := [monotonicity #7254 #7309]: #7311 +#7317 := [trans #7312 #7315]: #7316 +#7323 := [monotonicity #7317]: #7322 +#7301 := [trans #7323 #7325]: #7326 +#7320 := [quant-inst]: #7319 +#7302 := [mp #7320 #7301]: #7318 +#8365 := [unit-resolution #7302 #6758]: #7313 +#7624 := [unit-resolution #8365 #7795 #7789]: #7273 +#8367 := (not #7273) +#8368 := (or #8367 #7300) +#8369 := [th-lemma]: #8368 +#7625 := [unit-resolution #8369 #7624]: #7300 +#7701 := (>= #7203 0::int) +#7612 := (<= #7203 0::int) +#7613 := (not #7612) +#7514 := (= uf_22 ?x65!15) +#7375 := (not #7514) +#7416 := (up_6 uf_15 ?x65!15) +#7539 := (or #7416 #7514) +#4454 := (not #7539) +#7495 := (up_6 #183 ?x65!15) +#7522 := (iff #7495 #7539) +#7523 := (or #6538 #7522) +#7508 := (= ?x65!15 uf_22) +#7509 := (ite #7508 #3681 #7416) +#7510 := (iff #7495 #7509) +#7518 := (or #6538 #7510) +#7525 := (iff #7518 #7523) +#7378 := (iff #7523 #7523) +#7379 := [rewrite]: #7378 +#7538 := (iff #7510 #7522) +#7520 := (iff #7509 #7539) +#7517 := (ite #7514 true #7416) +#7519 := (iff #7517 #7539) +#7497 := [rewrite]: #7519 +#7513 := (iff #7509 #7517) +#7515 := (iff #7508 #7514) +#7516 := [rewrite]: #7515 +#7531 := [monotonicity #7516 #3673]: #7513 +#7521 := [trans #7531 #7497]: #7520 +#7496 := [monotonicity #7521]: #7538 +#7526 := [monotonicity #7496]: #7525 +#7371 := [trans #7526 #7379]: #7525 +#7524 := [quant-inst]: #7518 +#7372 := [mp #7524 #7371]: #7523 +#7616 := [unit-resolution #7372 #4007]: #7522 +#7486 := (not #7495) +#4859 := (up_6 uf_23 ?x65!15) +#4860 := (not #4859) +#7823 := (iff #4860 #7486) +#7821 := (iff #4859 #7495) +#7819 := (iff #7495 #4859) +#7820 := [monotonicity #7114]: #7819 +#7822 := [symm #7820]: #7821 +#7818 := [monotonicity #7822]: #7823 +#6844 := (or #4860 #6838) +#6854 := (or #4243 #4860 #6838) +#6832 := (or #4860 #6831) +#6855 := (or #4243 #6832) +#6953 := (iff #6855 #6854) +#6950 := (or #4243 #6844) +#6947 := (iff #6950 #6854) +#6948 := [rewrite]: #6947 +#6951 := (iff #6855 #6950) +#6845 := (iff #6832 #6844) +#6846 := [monotonicity #6843]: #6845 +#6952 := [monotonicity #6846]: #6951 +#6954 := [trans #6952 #6948]: #6953 +#6949 := [quant-inst]: #6855 +#6955 := [mp #6949 #6954]: #6854 +#7611 := [unit-resolution #6955 #7743]: #6844 +#7791 := [unit-resolution #7611 #7790]: #4860 +#7824 := [mp #7791 #7818]: #7486 +#7382 := (not #7522) +#7485 := (or #7382 #7495 #4454) +#3736 := [def-axiom]: #7485 +#7825 := [unit-resolution #3736 #7824 #7616]: #4454 +#7376 := (or #7539 #7375) +#7377 := [def-axiom]: #7376 +#7826 := [unit-resolution #7377 #7825]: #7375 +#7614 := (or #7514 #7613) +#7661 := (or #7051 #7514 #7613) +#7665 := (or #7051 #7614) +#7668 := (iff #7665 #7661) +#7669 := [rewrite]: #7668 +#7667 := [quant-inst]: #7665 +#7670 := [mp #7667 #7669]: #7661 +#7827 := [unit-resolution #7670 #4034]: #7614 +#7828 := [unit-resolution #7827 #7826]: #7613 +#7572 := (or #7701 #7612) +#7573 := [th-lemma]: #7572 +#7622 := [unit-resolution #7573 #7828]: #7701 +#7623 := [th-lemma #7622 #7762 #7625 #7722]: false +#7829 := [lemma #7623]: #7751 +#10977 := [unit-resolution #7829 #10825 #10373 #8978 #10380 #10035]: #10976 +#10978 := [unit-resolution #10977 #10830]: #4307 +#3898 := (or #4304 #4298) +#3899 := [def-axiom]: #3898 +#27197 := [unit-resolution #3899 #10978]: #4298 +#3897 := (or #4301 #3240 #4295) +#3889 := [def-axiom]: #3897 +#27200 := [unit-resolution #3889 #27197]: #4298 +#27201 := [unit-resolution #27200 #13851]: #4295 +#3811 := (or #4292 #4286) +#3812 := [def-axiom]: #3811 +#27202 := [unit-resolution #3812 #27201]: #4286 +#27203 := (or #4289 #4283) +#6911 := (uf_1 uf_22 ?x71!19) +#6912 := (uf_10 #6911) +#6865 := (uf_4 uf_14 ?x71!19) +#6895 := (* -1::int #6865) +#6930 := (+ #6895 #6912) +#6931 := (+ #177 #6930) +#6932 := (>= #6931 0::int) +#18852 := (not #6932) +#6916 := (* -1::int #6912) +#19137 := (+ #2123 #6916) +#19141 := (>= #19137 0::int) +#19136 := (= #2123 #6912) +#19003 := (= #2122 #6911) +#5904 := (= ?x72!18 uf_22) +#15400 := (= ?x72!18 #10482) +#5903 := (up_6 uf_15 ?x72!18) +#6616 := (not #5903) +#5874 := (uf_4 uf_14 ?x72!18) +#6991 := (+ #5874 #6895) +#6992 := (+ #2123 #6991) +#6993 := (>= #6992 0::int) +#19560 := (not #6993) +#6896 := (+ #2118 #6895) +#6897 := (<= #6896 0::int) +#18663 := (or #4234 #6897) +#6887 := (+ #6865 #2119) +#6888 := (>= #6887 0::int) +#18661 := (or #4234 #6888) +#18693 := (iff #18661 #18663) +#18718 := (iff #18663 #18663) +#18749 := [rewrite]: #18718 +#6900 := (iff #6888 #6897) +#6889 := (+ #2119 #6865) +#6892 := (>= #6889 0::int) +#6898 := (iff #6892 #6897) +#6899 := [rewrite]: #6898 +#6893 := (iff #6888 #6892) +#6890 := (= #6887 #6889) +#6891 := [rewrite]: #6890 +#6894 := [monotonicity #6891]: #6893 +#6901 := [trans #6894 #6899]: #6900 +#18748 := [monotonicity #6901]: #18693 +#18750 := [trans #18748 #18749]: #18693 +#18692 := [quant-inst]: #18661 +#18745 := [mp #18692 #18750]: #18663 +#19541 := [unit-resolution #18745 #10835]: #6897 +#3755 := (not #2710) +#19547 := [hypothesis]: #3286 +#3756 := (or #3281 #3755) +#3909 := [def-axiom]: #3756 +#19548 := [unit-resolution #3909 #19547]: #3755 +#5966 := (* -1::int #5874) +#5967 := (+ #2120 #5966) +#17815 := (>= #5967 0::int) +#5879 := (= #2120 #5874) +#3924 := (or #3281 #2130) +#3753 := [def-axiom]: #3924 +#19549 := [unit-resolution #3753 #19547]: #2130 +#10831 := [unit-resolution #3876 #10830]: #4238 +#16861 := (or #4243 #3266 #5879) +#5875 := (= #5874 #2120) +#5878 := (or #3266 #5875) +#16856 := (or #4243 #5878) +#17034 := (iff #16856 #16861) +#5882 := (or #3266 #5879) +#16863 := (or #4243 #5882) +#16865 := (iff #16863 #16861) +#16726 := [rewrite]: #16865 +#16864 := (iff #16856 #16863) +#5883 := (iff #5878 #5882) +#5880 := (iff #5875 #5879) +#5881 := [rewrite]: #5880 +#5884 := [monotonicity #5881]: #5883 +#16860 := [monotonicity #5884]: #16864 +#17035 := [trans #16860 #16726]: #17034 +#16862 := [quant-inst]: #16856 +#17042 := [mp #16862 #17035]: #16861 +#19515 := [unit-resolution #17042 #10831 #19549]: #5879 +#19551 := (not #5879) +#19558 := (or #19551 #17815) +#19559 := [th-lemma]: #19558 +#19557 := [unit-resolution #19559 #19515]: #17815 +#19579 := (not #6897) +#19578 := (not #17815) +#19580 := (or #19560 #19578 #19579 #2710) +#19585 := [th-lemma]: #19580 +#19586 := [unit-resolution #19585 #19557 #19548 #19541]: #19560 +#19584 := (or #6616 #6993) +#3923 := (or #3281 #2129) +#3917 := [def-axiom]: #3923 +#19575 := [unit-resolution #3917 #19547]: #2129 +#18880 := (or #4104 #2128 #6616 #6993) +#6994 := (or #6616 #2128 #6993) +#18885 := (or #4104 #6994) +#18786 := (iff #18885 #18880) +#6995 := (or #2128 #6616 #6993) +#18887 := (or #4104 #6995) +#18855 := (iff #18887 #18880) +#18785 := [rewrite]: #18855 +#18888 := (iff #18885 #18887) +#6996 := (iff #6994 #6995) +#6997 := [rewrite]: #6996 +#18854 := [monotonicity #6997]: #18888 +#18784 := [trans #18854 #18785]: #18786 +#18886 := [quant-inst]: #18885 +#18853 := [mp #18886 #18784]: #18880 +#18782 := [unit-resolution #18853 #10042 #19575]: #19584 +#19562 := [unit-resolution #18782 #19586]: #6616 +#15415 := (or #5903 #15400) +#15410 := (up_6 #11444 ?x72!18) +#15420 := (iff #15410 #15415) +#17068 := (or #6538 #15420) +#15401 := (ite #15400 #3681 #5903) +#15411 := (iff #15410 #15401) +#17041 := (or #6538 #15411) +#17071 := (iff #17041 #17068) +#17075 := (iff #17068 #17068) +#17033 := [rewrite]: #17075 +#15421 := (iff #15411 #15420) +#15418 := (iff #15401 #15415) +#15412 := (ite #15400 true #5903) +#15416 := (iff #15412 #15415) +#15417 := [rewrite]: #15416 +#15413 := (iff #15401 #15412) +#15414 := [monotonicity #3673]: #15413 +#15419 := [trans #15414 #15417]: #15418 +#15422 := [monotonicity #15419]: #15421 +#17069 := [monotonicity #15422]: #17071 +#17076 := [trans #17069 #17033]: #17071 +#17070 := [quant-inst]: #17041 +#17077 := [mp #17070 #17076]: #17068 +#19567 := [unit-resolution #17077 #4007]: #15420 +#19566 := (iff #2130 #15410) +#19561 := (iff #15410 #2130) +#19568 := [monotonicity #13524]: #19561 +#19576 := [symm #19568]: #19566 +#19577 := [mp #19549 #19576]: #15410 +#17132 := (not #15410) +#17134 := (not #15420) +#17137 := (or #17134 #17132 #15415) +#17138 := [def-axiom]: #17137 +#19571 := [unit-resolution #17138 #19577 #19567]: #15415 +#17112 := (not #15415) +#17133 := (or #17112 #5903 #15400) +#17128 := [def-axiom]: #17133 +#19546 := [unit-resolution #17128 #19571 #19562]: #15400 +#18949 := [trans #19546 #13347]: #5904 +#19152 := [monotonicity #18949]: #19003 +#19266 := [monotonicity #19152]: #19136 +#19321 := (not #19136) +#18783 := (or #19321 #19141) +#19327 := [th-lemma]: #18783 +#19424 := [unit-resolution #19327 #19266]: #19141 +#7076 := (uf_2 #2122) +#7082 := (uf_4 uf_14 #7076) +#7096 := (* -1::int #7082) +#7097 := (+ #177 #7096) +#7098 := (<= #7097 0::int) +#19129 := (= #177 #7082) +#19009 := (= #7082 #177) +#19025 := (= #7076 uf_22) +#19026 := (= #7076 #10482) +#19488 := (= #7076 ?x72!18) +#7077 := (= ?x72!18 #7076) +#18938 := (or #8415 #7077) +#18939 := [quant-inst]: #18938 +#19425 := [unit-resolution #18939 #3993]: #7077 +#19489 := [symm #19425]: #19488 +#19027 := [trans #19489 #19546]: #19026 +#19116 := [trans #19027 #13347]: #19025 +#19117 := [monotonicity #19116]: #19009 +#19124 := [symm #19117]: #19129 +#19125 := (not #19129) +#19118 := (or #19125 #7098) +#19126 := [th-lemma]: #19118 +#19494 := [unit-resolution #19126 #19124]: #7098 +#18959 := (+ #5874 #7096) +#18942 := (>= #18959 0::int) +#18958 := (= #5874 #7082) +#19503 := [monotonicity #19425]: #18958 +#19714 := (not #18958) +#19715 := (or #19714 #18942) +#19716 := [th-lemma]: #19715 +#19717 := [unit-resolution #19716 #19503]: #18942 +#19840 := (not #19141) +#19719 := (not #18942) +#19718 := (not #7098) +#19720 := (or #18852 #19579 #2710 #19718 #19719 #19578 #19840) +#19721 := [th-lemma]: #19720 +#19722 := [unit-resolution #19721 #19541 #19557 #19548 #19717 #19494 #19424]: #18852 +#6920 := (+ uf_9 #6916) +#6921 := (<= #6920 0::int) +#18850 := (not #6921) +#19841 := (or #18850 #19840 #2128) +#19836 := [hypothesis]: #2129 +#19837 := [hypothesis]: #6921 +#19838 := [hypothesis]: #19141 +#19839 := [th-lemma #19838 #19837 #19836]: false +#19842 := [lemma #19839]: #19841 +#19748 := [unit-resolution #19842 #19424 #19575]: #18850 +#6937 := (+ #2119 #6912) +#6938 := (+ #177 #6937) +#6941 := (= #6938 0::int) +#19752 := (not #6941) +#18700 := (>= #6938 0::int) +#19749 := (not #18700) +#19750 := (or #19749 #2710 #19718 #19719 #19578 #19840) +#19746 := [th-lemma]: #19750 +#19747 := [unit-resolution #19746 #19557 #19548 #19717 #19494 #19424]: #19749 +#19753 := (or #19752 #18700) +#19754 := [th-lemma]: #19753 +#19751 := [unit-resolution #19754 #19747]: #19752 +#6944 := (or #6921 #6932 #6941) +#18751 := (or #4226 #6921 #6932 #6941) +#6913 := (+ #6912 #2119) +#6914 := (+ #177 #6913) +#6915 := (= #6914 0::int) +#6917 := (+ #1268 #6916) +#6918 := (+ #6865 #6917) +#6919 := (<= #6918 0::int) +#6922 := (or #6921 #6919 #6915) +#18752 := (or #4226 #6922) +#18697 := (iff #18752 #18751) +#18811 := (or #4226 #6944) +#18691 := (iff #18811 #18751) +#18696 := [rewrite]: #18691 +#18695 := (iff #18752 #18811) +#6945 := (iff #6922 #6944) +#6942 := (iff #6915 #6941) +#6939 := (= #6914 #6938) +#6940 := [rewrite]: #6939 +#6943 := [monotonicity #6940]: #6942 +#6935 := (iff #6919 #6932) +#6923 := (+ #6865 #6916) +#6924 := (+ #1268 #6923) +#6927 := (<= #6924 0::int) +#6933 := (iff #6927 #6932) +#6934 := [rewrite]: #6933 +#6928 := (iff #6919 #6927) +#6925 := (= #6918 #6924) +#6926 := [rewrite]: #6925 +#6929 := [monotonicity #6926]: #6928 +#6936 := [trans #6929 #6934]: #6935 +#6946 := [monotonicity #6936 #6943]: #6945 +#18690 := [monotonicity #6946]: #18695 +#18694 := [trans #18690 #18696]: #18697 +#18816 := [quant-inst]: #18752 +#18698 := [mp #18816 #18694]: #18751 +#19755 := [unit-resolution #18698 #10825]: #6944 +#19756 := [unit-resolution #19755 #19751 #19748 #19722]: false +#19782 := [lemma #19756]: #3281 +#3808 := (or #4289 #3286 #4283) +#3809 := [def-axiom]: #3808 +#27204 := [unit-resolution #3809 #19782]: #27203 +#27205 := [unit-resolution #27204 #27202]: #4283 +#3913 := (or #4280 #2160) +#3911 := [def-axiom]: #3913 +#27206 := [unit-resolution #3911 #27205]: #2160 +#5592 := (+ #2147 #5591) +#18461 := (>= #5592 0::int) +#5566 := (= #2147 #5561) +#3757 := (or #4280 #4272) +#3905 := [def-axiom]: #3757 +#27207 := [unit-resolution #3905 #27205]: #4272 +#18570 := (or #5566 #4277) +#15060 := (uf_10 #15059) +#15086 := (* -1::int #15060) +#11725 := (uf_24 #10482) +#11723 := (* -1::int #11725) +#15087 := (+ #11723 #15086) +#15088 := (+ #2147 #15087) +#15741 := (>= #15088 0::int) +#5607 := (uf_1 uf_22 ?x75!20) +#5608 := (uf_10 #5607) +#15832 := (+ #5608 #15086) +#15834 := (>= #15832 0::int) +#15831 := (= #5608 #15060) +#18427 := (= #15060 #5608) +#18425 := (= #15059 #5607) +#18426 := [monotonicity #13347]: #18425 +#18428 := [monotonicity #18426]: #18427 +#18429 := [symm #18428]: #15831 +#18424 := (not #15831) +#18430 := (or #18424 #15834) +#18431 := [th-lemma]: #18430 +#18432 := [unit-resolution #18431 #18429]: #15834 +#11677 := (+ #4526 #11723) +#8662 := (>= #11677 0::int) +#8604 := (= #4526 #11725) +#18433 := (= #11725 #4526) +#18434 := [monotonicity #13347]: #18433 +#18441 := [symm #18434]: #8604 +#18442 := (not #8604) +#18440 := (or #18442 #8662) +#18443 := [th-lemma]: #18440 +#18444 := [unit-resolution #18443 #18441]: #8662 +#5633 := (+ #2148 #5608) +#5634 := (+ #177 #5633) +#15560 := (<= #5634 0::int) +#5637 := (= #5634 0::int) +#5612 := (* -1::int #5608) +#5616 := (+ uf_9 #5612) +#5617 := (<= #5616 0::int) +#15577 := (not #5617) +#5626 := (+ #5591 #5608) +#5627 := (+ #177 #5626) +#5628 := (>= #5627 0::int) +#5659 := (or #5617 #5628) +#5662 := (not #5659) +#18518 := (not #5566) +#18445 := [hypothesis]: #18518 +#5665 := (or #5566 #5662) +#15564 := (or #4218 #5566 #5662) +#5613 := (+ #1268 #5612) +#5614 := (+ #5561 #5613) +#5615 := (<= #5614 0::int) +#5656 := (or #5617 #5615) +#5657 := (not #5656) +#5562 := (= #5561 #2147) +#5658 := (or #5562 #5657) +#15565 := (or #4218 #5658) +#15574 := (iff #15565 #15564) +#15567 := (or #4218 #5665) +#15570 := (iff #15567 #15564) +#15571 := [rewrite]: #15570 +#15568 := (iff #15565 #15567) +#5666 := (iff #5658 #5665) +#5663 := (iff #5657 #5662) +#5660 := (iff #5656 #5659) +#5631 := (iff #5615 #5628) +#5619 := (+ #5561 #5612) +#5620 := (+ #1268 #5619) +#5623 := (<= #5620 0::int) +#5629 := (iff #5623 #5628) +#5630 := [rewrite]: #5629 +#5624 := (iff #5615 #5623) +#5621 := (= #5614 #5620) +#5622 := [rewrite]: #5621 +#5625 := [monotonicity #5622]: #5624 +#5632 := [trans #5625 #5630]: #5631 +#5661 := [monotonicity #5632]: #5660 +#5664 := [monotonicity #5661]: #5663 +#5567 := (iff #5562 #5566) +#5568 := [rewrite]: #5567 +#5667 := [monotonicity #5568 #5664]: #5666 +#15569 := [monotonicity #5667]: #15568 +#15575 := [trans #15569 #15571]: #15574 +#15566 := [quant-inst]: #15565 +#15576 := [mp #15566 #15575]: #15564 +#18449 := [unit-resolution #15576 #10373]: #5665 +#18450 := [unit-resolution #18449 #18445]: #5662 +#15578 := (or #5659 #15577) +#15608 := [def-axiom]: #15578 +#18453 := [unit-resolution #15608 #18450]: #15577 +#15724 := (not #5628) +#15725 := (or #5659 #15724) +#15726 := [def-axiom]: #15725 +#18454 := [unit-resolution #15726 #18450]: #15724 +#5640 := (or #5617 #5628 #5637) +#15352 := (or #4226 #5617 #5628 #5637) +#5609 := (+ #5608 #2148) +#5610 := (+ #177 #5609) +#5611 := (= #5610 0::int) +#5618 := (or #5617 #5615 #5611) +#15353 := (or #4226 #5618) +#15526 := (iff #15353 #15352) +#15377 := (or #4226 #5640) +#15505 := (iff #15377 #15352) +#15506 := [rewrite]: #15505 +#15408 := (iff #15353 #15377) +#5641 := (iff #5618 #5640) +#5638 := (iff #5611 #5637) +#5635 := (= #5610 #5634) +#5636 := [rewrite]: #5635 +#5639 := [monotonicity #5636]: #5638 +#5642 := [monotonicity #5632 #5639]: #5641 +#15409 := [monotonicity #5642]: #15408 +#15549 := [trans #15409 #15506]: #15526 +#15376 := [quant-inst]: #15353 +#15550 := [mp #15376 #15549]: #15352 +#18490 := [unit-resolution #15550 #10825]: #5640 +#18491 := [unit-resolution #18490 #18454 #18453]: #5637 +#18492 := (not #5637) +#18493 := (or #18492 #15560) +#18494 := [th-lemma]: #18493 +#18495 := [unit-resolution #18494 #18491]: #15560 +#18499 := (not #15834) +#18498 := (not #4769) +#18497 := (not #8662) +#18496 := (not #15560) +#18500 := (or #15741 #18496 #18497 #18498 #18499) +#18501 := [th-lemma]: #18500 +#18502 := [unit-resolution #18501 #18495 #18444 #10836 #18432]: #15741 +#15740 := (<= #15088 0::int) +#15833 := (<= #15832 0::int) +#18503 := (or #18424 #15833) +#18504 := [th-lemma]: #18503 +#18505 := [unit-resolution #18504 #18429]: #15833 +#9287 := (<= #4768 0::int) +#4527 := (= #177 #4526) +#4776 := (up_6 uf_23 uf_22) +#3683 := (up_6 #183 uf_22) +#10821 := (iff #3683 #4776) +#10819 := (iff #4776 #3683) +#10820 := [monotonicity #10380]: #10819 +#10822 := [symm #10820]: #10821 #46 := (:var 0 T5) #45 := (:var 2 T4) #47 := (uf_7 #45 #10 #46) -#3860 := (pattern #47) -#319 := (= uf_8 #46) +#4016 := (pattern #47) +#321 := (= uf_8 #46) #48 := (up_6 #47 #10) -#323 := (iff #48 #319) -#3861 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #3860) #323) -#326 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #323) -#3864 := (iff #326 #3861) -#3862 := (iff #323 #323) -#3863 := [refl]: #3862 -#3865 := [quant-intro #3863]: #3864 -#1509 := (~ #326 #326) -#1547 := (~ #323 #323) -#1548 := [refl]: #1547 -#1510 := [nnf-pos #1548]: #1509 +#325 := (iff #48 #321) +#4017 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #4016) #325) +#328 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #325) +#4020 := (iff #328 #4017) +#4018 := (iff #325 #325) +#4019 := [refl]: #4018 +#4021 := [quant-intro #4019]: #4020 +#1650 := (~ #328 #328) +#1688 := (~ #325 #325) +#1689 := [refl]: #1688 +#1651 := [nnf-pos #1689]: #1650 #49 := (= #46 uf_8) #50 := (iff #48 #49) #51 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #50) -#327 := (iff #51 #326) -#324 := (iff #50 #323) -#321 := (iff #49 #319) -#322 := [rewrite]: #321 -#325 := [monotonicity #322]: #324 -#328 := [quant-intro #325]: #327 -#318 := [asserted]: #51 -#331 := [mp #318 #328]: #326 -#1549 := [mp~ #331 #1510]: #326 -#3866 := [mp #1549 #3865]: #3861 -#5984 := (not #3861) -#5985 := (or #5984 #5971) -#5974 := (iff #5971 #5970) -#5986 := (or #5984 #5974) -#5988 := (iff #5986 #5985) -#5990 := (iff #5985 #5985) -#5991 := [rewrite]: #5990 -#5982 := (iff #5974 #5971) -#5977 := (iff #5971 true) -#5980 := (iff #5977 #5971) -#5981 := [rewrite]: #5980 -#5978 := (iff #5974 #5977) -#5979 := [monotonicity #5976]: #5978 -#5983 := [trans #5979 #5981]: #5982 -#5989 := [monotonicity #5983]: #5988 -#5992 := [trans #5989 #5991]: #5988 -#5987 := [quant-inst]: #5986 -#5993 := [mp #5987 #5992]: #5985 -#29383 := [unit-resolution #5993 #3866]: #5971 -#29388 := [mp #29383 #29387]: #8020 -#30588 := [hypothesis]: #4122 -#8023 := (not #8020) -#23013 := (or #4127 #8023 #10697 #10725) -#10702 := (+ #2033 #10701) -#10703 := (+ #8027 #10702) -#10704 := (= #10703 0::int) -#10717 := (not #10704) -#10718 := (+ #8027 #2033) -#10716 := (>= #10718 0::int) -#10711 := (or #8023 #10716 #10717) -#22922 := (or #4127 #10711) -#22994 := (iff #22922 #23013) -#10742 := (or #8023 #10697 #10725) -#22980 := (or #4127 #10742) -#22955 := (iff #22980 #23013) -#22999 := [rewrite]: #22955 -#22906 := (iff #22922 #22980) -#10798 := (iff #10711 #10742) -#10726 := (iff #10717 #10725) -#10719 := (iff #10704 #10722) -#10746 := (+ #8027 #10701) -#10747 := (+ #2033 #10746) -#10750 := (= #10747 0::int) -#10715 := (iff #10750 #10722) -#10723 := [rewrite]: #10715 -#10730 := (iff #10704 #10750) -#10748 := (= #10703 #10747) -#10749 := [rewrite]: #10748 -#10731 := [monotonicity #10749]: #10730 -#10724 := [trans #10731 #10723]: #10719 -#10727 := [monotonicity #10724]: #10726 -#10694 := (iff #10716 #10697) -#10712 := (+ #2033 #8027) -#10695 := (>= #10712 0::int) -#10698 := (iff #10695 #10697) -#10699 := [rewrite]: #10698 -#10710 := (iff #10716 #10695) -#10713 := (= #10718 #10712) -#10714 := [rewrite]: #10713 -#10696 := [monotonicity #10714]: #10710 -#10745 := [trans #10696 #10699]: #10694 -#10796 := [monotonicity #10745 #10727]: #10798 -#21369 := [monotonicity #10796]: #22906 -#17898 := [trans #21369 #22999]: #22994 -#22936 := [quant-inst]: #22922 -#17881 := [mp #22936 #17898]: #23013 -#30590 := [unit-resolution #17881 #30588 #29388]: #30589 -#30591 := [unit-resolution #30590 #30587 #30566]: false -#30593 := [lemma #30591]: #30592 -#25195 := [unit-resolution #30593 #25346]: #10311 -#35020 := (or #30518 #7777) -#35021 := [th-lemma]: #35020 -#25253 := [unit-resolution #35021 #25195]: #7777 -#33354 := (not #7777) -#33351 := (or #33430 #33354 #2044) -#33352 := [hypothesis]: #11140 -#38137 := [hypothesis]: #2045 -#33346 := [hypothesis]: #7777 -#33353 := [th-lemma #33346 #38137 #33352]: false -#33355 := [lemma #33353]: #33351 -#25263 := [unit-resolution #33355 #25253 #25348]: #33430 -#25380 := (or #11140 #11168) -#3758 := (or #4130 #2560) -#3640 := [def-axiom]: #3758 -#25347 := [unit-resolution #3640 #25286]: #2560 -#10947 := [unit-resolution #3637 #6214]: #3974 -#19098 := (or #3979 #2557 #11140 #11168) -#11132 := (or #11137 #11135 #11146) -#11138 := (not #11132) -#11141 := (or #2046 #11140 #11138) -#24415 := (or #3979 #11141) -#24431 := (iff #24415 #19098) -#11165 := (or #2557 #11140 #11168) -#24132 := (or #3979 #11165) -#24604 := (iff #24132 #19098) -#24448 := [rewrite]: #24604 -#24350 := (iff #24415 #24132) -#11171 := (iff #11141 #11165) -#11169 := (iff #11138 #11168) -#11166 := (iff #11132 #11142) -#11167 := [rewrite]: #11166 -#11170 := [monotonicity #11167]: #11169 -#11172 := [monotonicity #2559 #11170]: #11171 -#24430 := [monotonicity #11172]: #24350 -#24397 := [trans #24430 #24448]: #24431 -#24390 := [quant-inst]: #24415 -#24306 := [mp #24390 #24397]: #19098 -#25352 := [unit-resolution #24306 #10947 #25347]: #25380 -#25354 := [unit-resolution #25352 #25263]: #11168 -#24534 := (or #11142 #11136) -#24551 := [def-axiom]: #24534 -#25381 := [unit-resolution #24551 #25354]: #11136 -#31877 := (up_6 uf_23 #11097) -#31878 := (not #31877) -#35062 := (or #11142 #31878 #4127) -#24524 := (not #11146) -#38825 := [hypothesis]: #11168 -#24595 := (or #11142 #24524) -#24514 := [def-axiom]: #24595 -#38826 := [unit-resolution #24514 #38825]: #24524 -#31875 := (uf_24 #11097) -#31894 := (* -1::int #31875) -#32091 := (+ #2032 #31894) -#32092 := (<= #32091 0::int) -#33436 := [hypothesis]: #31877 -#32104 := (+ #11149 #31894) -#32105 := (+ #2032 #32104) -#32106 := (= #32105 0::int) -#35038 := (iff #11134 #32106) -#35034 := (iff #32106 #11134) -#35015 := (= #32105 #11133) -#35029 := (= #11133 #32105) -#31895 := (+ #11143 #31894) -#33428 := (<= #31895 0::int) -#31876 := (= #11143 #31875) -#31880 := (or #31876 #31878) -#31423 := (or #4093 #31876 #31878) -#31879 := (or #31878 #31876) -#31434 := (or #4093 #31879) -#31443 := (iff #31434 #31423) -#31441 := (or #4093 #31880) -#31431 := (iff #31441 #31423) -#31440 := [rewrite]: #31431 -#31433 := (iff #31434 #31441) -#31881 := (iff #31879 #31880) -#31882 := [rewrite]: #31881 -#31442 := [monotonicity #31882]: #31433 -#31436 := [trans #31442 #31440]: #31443 -#31435 := [quant-inst]: #31434 -#31444 := [mp #31435 #31436]: #31423 -#33899 := [unit-resolution #31444 #13487]: #31880 -#33904 := [unit-resolution #33899 #33436]: #31876 -#23171 := (not #31876) -#16263 := (or #23171 #33428) -#31645 := [th-lemma]: #16263 -#31947 := [unit-resolution #31645 #33904]: #33428 -#31896 := (>= #31895 0::int) -#31469 := (or #4084 #31896) -#31470 := [quant-inst]: #31469 -#29796 := [unit-resolution #31470 #7037]: #31896 -#10405 := (<= #10404 0::int) -#25597 := [unit-resolution #30593 #30588]: #10311 -#34536 := (or #30518 #10405) -#34894 := [th-lemma]: #34536 -#34869 := [unit-resolution #34894 #25597]: #10405 -#35016 := [unit-resolution #35021 #25597]: #7777 -#35035 := [th-lemma #35016 #34869 #29796 #31947]: #35029 -#35036 := [symm #35035]: #35015 -#35037 := [monotonicity #35036]: #35034 -#35039 := [symm #35037]: #35038 -#24631 := (or #11142 #11134) -#18952 := [def-axiom]: #24631 -#33451 := [unit-resolution #18952 #38825]: #11134 -#35064 := [mp #33451 #35039]: #32106 -#32111 := (not #32106) -#32114 := (or #31878 #32092 #32111) -#31607 := (or #4127 #31878 #32092 #32111) -#32078 := (+ #2033 #11148) -#32079 := (+ #31875 #32078) -#32080 := (= #32079 0::int) -#32081 := (not #32080) -#32082 := (+ #31875 #2033) -#32083 := (>= #32082 0::int) -#32084 := (or #31878 #32083 #32081) -#31608 := (or #4127 #32084) -#31636 := (iff #31608 #31607) -#31565 := (or #4127 #32114) -#31606 := (iff #31565 #31607) -#31635 := [rewrite]: #31606 -#31633 := (iff #31608 #31565) -#32115 := (iff #32084 #32114) -#32112 := (iff #32081 #32111) -#32109 := (iff #32080 #32106) -#32097 := (+ #11148 #31875) -#32098 := (+ #2033 #32097) -#32101 := (= #32098 0::int) -#32107 := (iff #32101 #32106) -#32108 := [rewrite]: #32107 -#32102 := (iff #32080 #32101) -#32099 := (= #32079 #32098) -#32100 := [rewrite]: #32099 -#32103 := [monotonicity #32100]: #32102 -#32110 := [trans #32103 #32108]: #32109 -#32113 := [monotonicity #32110]: #32112 -#32095 := (iff #32083 #32092) -#32085 := (+ #2033 #31875) -#32088 := (>= #32085 0::int) -#32093 := (iff #32088 #32092) -#32094 := [rewrite]: #32093 -#32089 := (iff #32083 #32088) -#32086 := (= #32082 #32085) -#32087 := [rewrite]: #32086 -#32090 := [monotonicity #32087]: #32089 -#32096 := [trans #32090 #32094]: #32095 -#32116 := [monotonicity #32096 #32113]: #32115 -#31634 := [monotonicity #32116]: #31633 -#17991 := [trans #31634 #31635]: #31636 -#31598 := [quant-inst]: #31608 -#23660 := [mp #31598 #17991]: #31607 -#35065 := [unit-resolution #23660 #30588]: #32114 -#35066 := [unit-resolution #35065 #35064 #33436]: #32092 -#35067 := [th-lemma #35016 #29796 #35066 #38826]: false -#35063 := [lemma #35067]: #35062 -#25287 := [unit-resolution #35063 #25354 #25346]: #31878 -#38842 := (or #31877 #11137) -#36185 := (up_6 #8048 #11097) -#38820 := (not #36185) -#38838 := (iff #31878 #38820) -#38836 := (iff #31877 #36185) -#38834 := (iff #36185 #31877) -#38835 := [monotonicity #8592]: #38834 -#38837 := [symm #38835]: #38836 -#38839 := [monotonicity #38837]: #38838 -#38833 := [hypothesis]: #31878 -#38840 := [mp #38833 #38839]: #38820 -#36187 := (= #6904 #11097) -#36206 := (or #11136 #36187) -#36190 := (iff #36185 #36206) -#38800 := (or #6010 #36190) -#36182 := (= #11097 #6904) -#36183 := (ite #36182 #5970 #11136) -#36186 := (iff #36185 #36183) -#38801 := (or #6010 #36186) -#38803 := (iff #38801 #38800) -#38805 := (iff #38800 #38800) -#38806 := [rewrite]: #38805 -#36191 := (iff #36186 #36190) -#36209 := (iff #36183 #36206) -#36203 := (ite #36187 true #11136) -#36207 := (iff #36203 #36206) -#36208 := [rewrite]: #36207 -#36204 := (iff #36183 #36203) -#36188 := (iff #36182 #36187) -#36202 := [rewrite]: #36188 -#36205 := [monotonicity #36202 #5976]: #36204 -#36210 := [trans #36205 #36208]: #36209 -#36192 := [monotonicity #36210]: #36191 -#38804 := [monotonicity #36192]: #38803 -#38807 := [trans #38804 #38806]: #38803 -#38802 := [quant-inst]: #38801 -#38808 := [mp #38802 #38807]: #38800 -#38827 := [unit-resolution #38808 #3851]: #36190 -#38817 := (not #36190) -#38830 := (or #38817 #36185) -#38828 := [hypothesis]: #11136 -#38809 := (or #36206 #11137) -#38810 := [def-axiom]: #38809 -#38829 := [unit-resolution #38810 #38828]: #36206 -#38814 := (not #36206) -#38818 := (or #38817 #36185 #38814) -#38819 := [def-axiom]: #38818 -#38831 := [unit-resolution #38819 #38829]: #38830 -#38832 := [unit-resolution #38831 #38827]: #36185 -#38841 := [unit-resolution #38832 #38840]: false -#38843 := [lemma #38841]: #38842 -#25282 := [unit-resolution #38843 #25287 #25381]: false -#25366 := [lemma #25282]: #4130 -#5604 := (= #108 #219) -#25448 := (iff #5604 #220) -#25447 := [commutativity]: #1322 -#25445 := (iff #5604 #708) -#6918 := [unit-resolution #3676 #6214]: #109 -#25446 := [monotonicity #6918]: #25445 -#25449 := [trans #25446 #25447]: #25448 -#5555 := (uf_10 #5488) -#5558 := (* -1::int #5555) -#5571 := (+ uf_9 #5558) -#5572 := (<= #5571 0::int) -#5568 := (+ #1235 #5558) -#5569 := (+ #108 #5568) -#5570 := (<= #5569 0::int) -#5606 := (or #5570 #5572) -#5486 := (+ #108 #1235) -#7088 := (<= #5486 0::int) -#3577 := (<= #108 0::int) -#6919 := (or #3266 #3577) -#6920 := [th-lemma]: #6919 -#6921 := [unit-resolution #6920 #6918]: #3577 -#5969 := (>= #185 0::int) -#3681 := (or #4214 #3941) -#3661 := [def-axiom]: #3681 -#7734 := [unit-resolution #3661 #6214]: #3941 -#5972 := (or #3946 #5969) -#5973 := [quant-inst]: #5972 -#7735 := [unit-resolution #5973 #7734]: #5969 -#5140 := (not #3577) -#25432 := (not #5969) -#25433 := (or #7088 #25432 #5140) -#25434 := [th-lemma]: #25433 -#25435 := [unit-resolution #25434 #7735 #6921]: #7088 -#8448 := (+ #5555 #5837) -#8450 := (>= #8448 0::int) -#8695 := (uf_1 #6904 uf_11) -#8696 := (uf_10 #8695) -#9032 := (= #8696 0::int) -#22996 := (not #9032) -#15055 := (>= #8696 0::int) -#22691 := (not #15055) -#10009 := (not #8450) -#23412 := [hypothesis]: #10009 -#22699 := (or #8450 #22691) -#8632 := (* -1::int #8696) -#15323 := (+ #5555 #8632) -#15325 := (>= #15323 0::int) -#9629 := (= #5555 #8696) -#23372 := (= #8696 #5555) -#23413 := (= #8695 #5488) -#23441 := [monotonicity #9758]: #23413 -#23440 := [monotonicity #23441]: #23372 -#23446 := [symm #23440]: #9629 -#23447 := (not #9629) -#23449 := (or #23447 #15325) -#23379 := [th-lemma]: #23449 -#22669 := [unit-resolution #23379 #23446]: #15325 -#22695 := (not #15325) -#23448 := (or #8450 #23491 #22691 #22695) -#22698 := [th-lemma]: #23448 -#22700 := [unit-resolution #22698 #22669 #22632]: #22699 -#22883 := [unit-resolution #22700 #23412]: #22691 -#23043 := (or #22996 #15055) -#23450 := [th-lemma]: #23043 -#23034 := [unit-resolution #23450 #22883]: #22996 -#8929 := (= uf_11 #6904) -#8788 := (<= #8696 0::int) -#8449 := (<= #8448 0::int) -#10435 := (or #8450 #8449) -#10434 := [th-lemma]: #10435 -#23407 := [unit-resolution #10434 #23412]: #8449 -#10438 := (not #8449) -#23443 := (or #10438 #8788) -#22944 := (or #10438 #23491 #8788 #22695) -#23411 := [th-lemma]: #22944 -#23409 := [unit-resolution #23411 #22669 #22632]: #23443 -#23442 := [unit-resolution #23409 #23407]: #8788 -#8794 := (not #8788) -#8933 := (or #8794 #8929) -#12371 := (or #7324 #8794 #8929) -#8795 := (= #6904 uf_11) -#8796 := (or #8795 #8794) -#12524 := (or #7324 #8796) -#13058 := (iff #12524 #12371) -#12579 := (or #7324 #8933) -#13029 := (iff #12579 #12371) -#13057 := [rewrite]: #13029 -#12620 := (iff #12524 #12579) -#8965 := (iff #8796 #8933) -#8931 := (or #8929 #8794) -#8934 := (iff #8931 #8933) -#8964 := [rewrite]: #8934 -#8932 := (iff #8796 #8931) -#8924 := (iff #8795 #8929) -#8930 := [rewrite]: #8924 -#8928 := [monotonicity #8930]: #8932 -#8966 := [trans #8928 #8964]: #8965 -#12543 := [monotonicity #8966]: #12620 -#13028 := [trans #12543 #13057]: #13058 -#12621 := [quant-inst]: #12524 -#13055 := [mp #12621 #13028]: #12371 -#23444 := [unit-resolution #13055 #3878]: #8933 -#20374 := [unit-resolution #23444 #23442]: #8929 -#9008 := (not #8929) -#9009 := (or #9008 #9032) -#12859 := (or #8154 #9008 #9032) -#9033 := (not #8795) -#9007 := (or #9033 #9032) -#13122 := (or #8154 #9007) -#13134 := (iff #13122 #12859) -#12878 := (or #8154 #9009) -#13147 := (iff #12878 #12859) -#13150 := [rewrite]: #13147 -#13131 := (iff #13122 #12878) -#9010 := (iff #9007 #9009) -#9006 := (iff #9033 #9008) -#9031 := [monotonicity #8930]: #9006 -#9011 := [monotonicity #9031]: #9010 -#13120 := [monotonicity #9011]: #13131 -#13149 := [trans #13120 #13150]: #13134 -#13056 := [quant-inst]: #13122 -#13151 := [mp #13056 #13149]: #12859 -#23445 := [unit-resolution #13151 #3872]: #9009 -#11092 := [unit-resolution #23445 #20374 #23034]: false -#17852 := [lemma #11092]: #8450 -#25436 := (not #7088) -#25439 := (or #5570 #10009 #25436) -#25437 := (or #5570 #5907 #10009 #25436) -#25438 := [th-lemma]: #25437 -#25440 := [unit-resolution #25438 #9692]: #25439 -#25441 := [unit-resolution #25440 #17852 #25435]: #5570 -#5629 := (not #5570) -#5630 := (or #5606 #5629) -#5631 := [def-axiom]: #5630 -#25442 := [unit-resolution #5631 #25441]: #5606 -#5609 := (not #5606) -#5612 := (or #5604 #5609) -#5615 := (or #4076 #5604 #5609) -#5602 := (or #5572 #5570) -#5603 := (not #5602) -#5605 := (or #5604 #5603) -#5616 := (or #4076 #5605) -#5623 := (iff #5616 #5615) -#5618 := (or #4076 #5612) -#5621 := (iff #5618 #5615) -#5622 := [rewrite]: #5621 -#5619 := (iff #5616 #5618) -#5613 := (iff #5605 #5612) -#5610 := (iff #5603 #5609) -#5607 := (iff #5602 #5606) -#5608 := [rewrite]: #5607 -#5611 := [monotonicity #5608]: #5610 -#5614 := [monotonicity #5611]: #5613 -#5620 := [monotonicity #5614]: #5619 -#5624 := [trans #5620 #5622]: #5623 -#5617 := [quant-inst]: #5616 -#5625 := [mp #5617 #5624]: #5615 -#25443 := [unit-resolution #5625 #6216]: #5612 -#25444 := [unit-resolution #25443 #25442]: #5604 -#25450 := [mp #25444 #25449]: #220 -#3717 := (or #4178 #4172) -#3721 := [def-axiom]: #3717 -#13489 := [unit-resolution #3721 #13486]: #4172 -#3716 := (or #4175 #1324 #4169) -#3718 := [def-axiom]: #3716 -#25451 := [unit-resolution #3718 #13489]: #4172 -#25452 := [unit-resolution #25451 #25450]: #4169 -#3723 := (or #4166 #4160) -#3725 := [def-axiom]: #3723 -#25453 := [unit-resolution #3725 #25452]: #4160 -#25454 := (or #4163 #4157) -#8769 := (or #4093 #1963) -#8407 := (uf_4 uf_14 ?x65!15) -#8699 := (>= #8407 0::int) -#8702 := (or #3946 #8699) -#8703 := [quant-inst]: #8702 -#8764 := [unit-resolution #8703 #7734]: #8699 -#9046 := [hypothesis]: #1964 -#8438 := (* -1::int #8407) -#8439 := (+ #1962 #8438) -#8763 := (>= #8439 0::int) -#8412 := (= #1962 #8407) -#9060 := [hypothesis]: #4088 -#9082 := (or #8412 #1963 #4093) -#8454 := (uf_1 uf_22 ?x65!15) -#8455 := (uf_10 #8454) -#8429 := (* -1::int #1962) -#8511 := (+ #8429 #8455) -#8512 := (+ #185 #8511) -#8532 := (<= #8512 0::int) -#8515 := (= #8512 0::int) -#8456 := (* -1::int #8455) -#8460 := (+ uf_9 #8456) -#8461 := (<= #8460 0::int) -#8499 := (not #8461) -#8472 := (+ #8438 #8455) -#8473 := (+ #185 #8472) -#8474 := (>= #8473 0::int) -#8479 := (or #8461 #8474) -#8482 := (not #8479) -#9034 := (not #8412) -#9035 := [hypothesis]: #9034 -#8485 := (or #8412 #8482) -#8488 := (or #4076 #8412 #8482) -#8457 := (+ #1235 #8456) -#8458 := (+ #8407 #8457) -#8459 := (<= #8458 0::int) -#8462 := (or #8461 #8459) -#8463 := (not #8462) -#8408 := (= #8407 #1962) -#8464 := (or #8408 #8463) -#8489 := (or #4076 #8464) -#8496 := (iff #8489 #8488) -#8491 := (or #4076 #8485) -#8494 := (iff #8491 #8488) -#8495 := [rewrite]: #8494 -#8492 := (iff #8489 #8491) -#8486 := (iff #8464 #8485) -#8483 := (iff #8463 #8482) -#8480 := (iff #8462 #8479) -#8477 := (iff #8459 #8474) -#8465 := (+ #8407 #8456) -#8466 := (+ #1235 #8465) -#8469 := (<= #8466 0::int) -#8475 := (iff #8469 #8474) -#8476 := [rewrite]: #8475 -#8470 := (iff #8459 #8469) -#8467 := (= #8458 #8466) -#8468 := [rewrite]: #8467 -#8471 := [monotonicity #8468]: #8470 -#8478 := [trans #8471 #8476]: #8477 -#8481 := [monotonicity #8478]: #8480 -#8484 := [monotonicity #8481]: #8483 -#8413 := (iff #8408 #8412) -#8414 := [rewrite]: #8413 -#8487 := [monotonicity #8414 #8484]: #8486 -#8493 := [monotonicity #8487]: #8492 -#8497 := [trans #8493 #8495]: #8496 -#8490 := [quant-inst]: #8489 -#8498 := [mp #8490 #8497]: #8488 -#9036 := [unit-resolution #8498 #6216]: #8485 -#9037 := [unit-resolution #9036 #9035]: #8482 -#8500 := (or #8479 #8499) -#8501 := [def-axiom]: #8500 -#9038 := [unit-resolution #8501 #9037]: #8499 -#8502 := (not #8474) -#8503 := (or #8479 #8502) -#8504 := [def-axiom]: #8503 -#9039 := [unit-resolution #8504 #9037]: #8502 -#8518 := (or #8461 #8474 #8515) -#8521 := (or #4068 #8461 #8474 #8515) -#8507 := (+ #8455 #8429) -#8508 := (+ #185 #8507) -#8509 := (= #8508 0::int) -#8510 := (or #8461 #8459 #8509) -#8522 := (or #4068 #8510) -#8529 := (iff #8522 #8521) -#8524 := (or #4068 #8518) -#8527 := (iff #8524 #8521) -#8528 := [rewrite]: #8527 -#8525 := (iff #8522 #8524) -#8519 := (iff #8510 #8518) -#8516 := (iff #8509 #8515) -#8513 := (= #8508 #8512) -#8514 := [rewrite]: #8513 -#8517 := [monotonicity #8514]: #8516 -#8520 := [monotonicity #8478 #8517]: #8519 -#8526 := [monotonicity #8520]: #8525 -#8530 := [trans #8526 #8528]: #8529 -#8523 := [quant-inst]: #8522 -#8531 := [mp #8523 #8530]: #8521 -#9040 := [unit-resolution #8531 #6220]: #8518 -#9041 := [unit-resolution #9040 #9039 #9038]: #8515 -#9042 := (not #8515) -#9043 := (or #9042 #8532) -#9044 := [th-lemma]: #9043 -#9045 := [unit-resolution #9044 #9041]: #8532 -#8903 := (uf_1 #8349 ?x65!15) -#8904 := (uf_10 #8903) -#8910 := (* -1::int #8904) -#8982 := (+ #8455 #8910) -#8986 := (>= #8982 0::int) -#8981 := (= #8455 #8904) -#9052 := (= #8904 #8455) -#9050 := (= #8903 #8454) -#9051 := [monotonicity #9049]: #9050 -#9053 := [monotonicity #9051]: #9052 -#9054 := [symm #9053]: #8981 -#9055 := (not #8981) -#9056 := (or #9055 #8986) -#9057 := [th-lemma]: #9056 -#9058 := [unit-resolution #9057 #9054]: #8986 -#8974 := (>= #8904 0::int) -#8935 := (<= #8904 0::int) -#8936 := (not #8935) -#8859 := (= ?x65!15 #8349) -#8887 := (not #8859) -#8612 := (up_6 uf_15 ?x65!15) -#8867 := (or #8612 #8859) -#8890 := (not #8867) -#8861 := (uf_7 uf_15 #8349 uf_8) -#8862 := (up_6 #8861 ?x65!15) -#8872 := (iff #8862 #8867) -#8875 := (or #6010 #8872) -#8860 := (ite #8859 #5970 #8612) -#8863 := (iff #8862 #8860) -#8876 := (or #6010 #8863) -#8878 := (iff #8876 #8875) -#8880 := (iff #8875 #8875) -#8881 := [rewrite]: #8880 -#8873 := (iff #8863 #8872) -#8870 := (iff #8860 #8867) -#8864 := (ite #8859 true #8612) -#8868 := (iff #8864 #8867) -#8869 := [rewrite]: #8868 -#8865 := (iff #8860 #8864) -#8866 := [monotonicity #5976]: #8865 -#8871 := [trans #8866 #8869]: #8870 -#8874 := [monotonicity #8871]: #8873 -#8879 := [monotonicity #8874]: #8878 -#8882 := [trans #8879 #8881]: #8878 -#8877 := [quant-inst]: #8876 -#8883 := [mp #8877 #8882]: #8875 -#9059 := [unit-resolution #8883 #3851]: #8872 -#8896 := (not #8862) -#8409 := (up_6 uf_23 ?x65!15) -#8410 := (not #8409) -#9071 := (iff #8410 #8896) -#9069 := (iff #8409 #8862) -#9067 := (iff #8862 #8409) -#9065 := (= #8861 uf_23) -#9063 := (= #8861 #191) -#9064 := [monotonicity #9049]: #9063 -#9066 := [trans #9064 #7413]: #9065 -#9068 := [monotonicity #9066]: #9067 -#9070 := [symm #9068]: #9069 -#9072 := [monotonicity #9070]: #9071 -#8415 := (or #8410 #8412) -#8418 := (or #4093 #8410 #8412) -#8411 := (or #8410 #8408) -#8419 := (or #4093 #8411) -#8426 := (iff #8419 #8418) -#8421 := (or #4093 #8415) -#8424 := (iff #8421 #8418) -#8425 := [rewrite]: #8424 -#8422 := (iff #8419 #8421) -#8416 := (iff #8411 #8415) -#8417 := [monotonicity #8414]: #8416 -#8423 := [monotonicity #8417]: #8422 -#8427 := [trans #8423 #8425]: #8426 -#8420 := [quant-inst]: #8419 -#8428 := [mp #8420 #8427]: #8418 -#9061 := [unit-resolution #8428 #9060]: #8415 -#9062 := [unit-resolution #9061 #9035]: #8410 -#9073 := [mp #9062 #9072]: #8896 -#8893 := (not #8872) -#8894 := (or #8893 #8862 #8890) -#8895 := [def-axiom]: #8894 -#9074 := [unit-resolution #8895 #9073 #9059]: #8890 -#8888 := (or #8867 #8887) -#8889 := [def-axiom]: #8888 -#9075 := [unit-resolution #8889 #9074]: #8887 -#8941 := (or #8859 #8936) -#8944 := (or #7324 #8859 #8936) -#8937 := (= #8349 ?x65!15) -#8938 := (or #8937 #8936) -#8945 := (or #7324 #8938) -#8952 := (iff #8945 #8944) -#8947 := (or #7324 #8941) -#8950 := (iff #8947 #8944) -#8951 := [rewrite]: #8950 -#8948 := (iff #8945 #8947) -#8942 := (iff #8938 #8941) -#8939 := (iff #8937 #8859) -#8940 := [rewrite]: #8939 -#8943 := [monotonicity #8940]: #8942 -#8949 := [monotonicity #8943]: #8948 -#8953 := [trans #8949 #8951]: #8952 -#8946 := [quant-inst]: #8945 -#8954 := [mp #8946 #8953]: #8944 -#9076 := [unit-resolution #8954 #3878]: #8941 -#9077 := [unit-resolution #9076 #9075]: #8936 -#9078 := (or #8974 #8935) -#9079 := [th-lemma]: #9078 -#9080 := [unit-resolution #9079 #9077]: #8974 -#9081 := [th-lemma #9080 #9058 #9046 #9045 #7735]: false -#9083 := [lemma #9081]: #9082 -#8765 := [unit-resolution #9083 #9060 #9046]: #8412 -#8766 := (or #9034 #8763) -#8767 := [th-lemma]: #8766 -#8762 := [unit-resolution #8767 #8765]: #8763 -#8768 := [th-lemma #8762 #9046 #8764]: false -#8770 := [lemma #8768]: #8769 -#13488 := [unit-resolution #8770 #13487]: #1963 -#3737 := (or #4163 #1964 #4157) -#3731 := [def-axiom]: #3737 -#25455 := [unit-resolution #3731 #13488]: #25454 -#25456 := [unit-resolution #25455 #25453]: #4157 -#3742 := (or #4154 #4148) -#3743 := [def-axiom]: #3742 -#29389 := [unit-resolution #3743 #25456]: #4148 -#29390 := (or #4151 #4145) -#6820 := (+ #1978 #5831) -#6821 := (<= #6820 0::int) -#6819 := (= #1978 #5830) -#6333 := (= uf_22 ?x67!17) -#6328 := (up_6 uf_15 ?x67!17) -#6339 := (or #6328 #6333) -#6331 := (up_6 #191 ?x67!17) -#6344 := (iff #6331 #6339) -#6347 := (or #6010 #6344) -#6329 := (= ?x67!17 uf_22) -#6330 := (ite #6329 #5970 #6328) -#6332 := (iff #6331 #6330) -#6348 := (or #6010 #6332) -#6350 := (iff #6348 #6347) -#6352 := (iff #6347 #6347) -#6353 := [rewrite]: #6352 -#6345 := (iff #6332 #6344) -#6342 := (iff #6330 #6339) -#6336 := (ite #6333 true #6328) -#6340 := (iff #6336 #6339) -#6341 := [rewrite]: #6340 -#6337 := (iff #6330 #6336) -#6334 := (iff #6329 #6333) -#6335 := [rewrite]: #6334 -#6338 := [monotonicity #6335 #5976]: #6337 -#6343 := [trans #6338 #6341]: #6342 -#6346 := [monotonicity #6343]: #6345 -#6351 := [monotonicity #6346]: #6350 -#6354 := [trans #6351 #6353]: #6350 -#6349 := [quant-inst]: #6348 -#6355 := [mp #6349 #6354]: #6347 -#7414 := [unit-resolution #6355 #3851]: #6344 -#7421 := (iff #1983 #6331) -#7419 := (iff #6331 #1983) -#7420 := [monotonicity #7413]: #7419 -#7422 := [symm #7420]: #7421 -#7415 := [hypothesis]: #3080 -#3619 := (or #3075 #1983) -#3620 := [def-axiom]: #3619 -#7416 := [unit-resolution #3620 #7415]: #1983 -#7423 := [mp #7416 #7422]: #6331 -#6368 := (not #6331) -#6365 := (not #6344) -#6369 := (or #6365 #6368 #6339) -#6370 := [def-axiom]: #6369 -#7454 := [unit-resolution #6370 #7423 #7414]: #6339 -#6356 := (not #6328) -#6308 := (uf_4 uf_14 ?x67!17) -#6386 := (* -1::int #6308) -#6605 := (+ #185 #6386) -#6961 := (>= #6605 0::int) -#7041 := (not #6961) -#6266 := (= uf_22 ?x68!16) -#6292 := (not #6266) -#6257 := (up_6 uf_15 ?x68!16) -#6272 := (or #6257 #6266) -#6295 := (not #6272) -#6264 := (up_6 #191 ?x68!16) -#6277 := (iff #6264 #6272) -#6280 := (or #6010 #6277) -#6260 := (= ?x68!16 uf_22) -#6263 := (ite #6260 #5970 #6257) -#6265 := (iff #6264 #6263) -#6281 := (or #6010 #6265) -#6283 := (iff #6281 #6280) -#6285 := (iff #6280 #6280) -#6286 := [rewrite]: #6285 -#6278 := (iff #6265 #6277) -#6275 := (iff #6263 #6272) -#6269 := (ite #6266 true #6257) -#6273 := (iff #6269 #6272) -#6274 := [rewrite]: #6273 -#6270 := (iff #6263 #6269) -#6267 := (iff #6260 #6266) -#6268 := [rewrite]: #6267 -#6271 := [monotonicity #6268 #5976]: #6270 -#6276 := [trans #6271 #6274]: #6275 -#6279 := [monotonicity #6276]: #6278 -#6284 := [monotonicity #6279]: #6283 -#6287 := [trans #6284 #6286]: #6283 -#6282 := [quant-inst]: #6281 -#6288 := [mp #6282 #6287]: #6280 -#7455 := [unit-resolution #6288 #3851]: #6277 -#6301 := (not #6264) -#7491 := (iff #1985 #6301) -#7461 := (iff #1984 #6264) -#7459 := (iff #6264 #1984) -#7460 := [monotonicity #7413]: #7459 -#7490 := [symm #7460]: #7461 -#7492 := [monotonicity #7490]: #7491 -#3762 := (or #3075 #1985) -#3763 := [def-axiom]: #3762 -#7458 := [unit-resolution #3763 #7415]: #1985 -#7493 := [mp #7458 #7492]: #6301 -#6298 := (not #6277) -#6299 := (or #6298 #6264 #6295) -#6300 := [def-axiom]: #6299 -#7494 := [unit-resolution #6300 #7493 #7455]: #6295 -#6293 := (or #6272 #6292) -#6294 := [def-axiom]: #6293 -#7495 := [unit-resolution #6294 #7494]: #6292 -#6483 := (uf_4 uf_14 ?x68!16) -#6494 := (* -1::int #6483) -#6696 := (+ #185 #6494) -#6697 := (<= #6696 0::int) -#6289 := (not #6257) -#6290 := (or #6272 #6289) -#6291 := [def-axiom]: #6290 -#7496 := [unit-resolution #6291 #7494]: #6289 -#6702 := (or #6257 #6697) -#3682 := (or #4202 #4053) -#3683 := [def-axiom]: #3682 -#7497 := [unit-resolution #3683 #6215]: #4053 -#6705 := (or #4058 #6257 #6697) -#6685 := (+ #6483 #1235) -#6686 := (>= #6685 0::int) -#6689 := (or #6257 #6686) -#6706 := (or #4058 #6689) -#6713 := (iff #6706 #6705) -#6708 := (or #4058 #6702) -#6711 := (iff #6708 #6705) -#6712 := [rewrite]: #6711 -#6709 := (iff #6706 #6708) -#6703 := (iff #6689 #6702) -#6700 := (iff #6686 #6697) -#6690 := (+ #1235 #6483) -#6693 := (>= #6690 0::int) -#6698 := (iff #6693 #6697) -#6699 := [rewrite]: #6698 -#6694 := (iff #6686 #6693) -#6691 := (= #6685 #6690) -#6692 := [rewrite]: #6691 -#6695 := [monotonicity #6692]: #6694 -#6701 := [trans #6695 #6699]: #6700 -#6704 := [monotonicity #6701]: #6703 -#6710 := [monotonicity #6704]: #6709 -#6714 := [trans #6710 #6712]: #6713 -#6707 := [quant-inst]: #6706 -#6715 := [mp #6707 #6714]: #6705 -#7498 := [unit-resolution #6715 #7497]: #6702 -#7499 := [unit-resolution #7498 #7496]: #6697 -#3764 := (not #2519) -#3765 := (or #3075 #3764) -#3759 := [def-axiom]: #3765 -#7500 := [unit-resolution #3759 #7415]: #3764 -#7343 := (not #6697) -#7344 := (or #7041 #2519 #7343 #6266) -#7098 := [hypothesis]: #6697 -#7034 := [hypothesis]: #3764 -#6387 := (+ #1978 #6386) -#6388 := (<= #6387 0::int) -#6393 := (or #4084 #6388) -#6376 := (+ #6308 #1979) -#6377 := (>= #6376 0::int) -#6394 := (or #4084 #6377) -#6396 := (iff #6394 #6393) -#6398 := (iff #6393 #6393) -#6399 := [rewrite]: #6398 -#6391 := (iff #6377 #6388) -#6380 := (+ #1979 #6308) -#6383 := (>= #6380 0::int) -#6389 := (iff #6383 #6388) -#6390 := [rewrite]: #6389 -#6384 := (iff #6377 #6383) -#6381 := (= #6376 #6380) -#6382 := [rewrite]: #6381 -#6385 := [monotonicity #6382]: #6384 -#6392 := [trans #6385 #6390]: #6391 -#6397 := [monotonicity #6392]: #6396 -#6400 := [trans #6397 #6399]: #6396 -#6395 := [quant-inst]: #6394 -#6401 := [mp #6395 #6400]: #6393 -#7038 := [unit-resolution #6401 #7037]: #6388 -#7039 := [hypothesis]: #6961 -#6495 := (+ #1980 #6494) -#6559 := (>= #6495 0::int) -#6522 := (= #1980 #6483) -#6510 := (uf_1 uf_22 ?x68!16) -#6511 := (uf_10 #6510) -#6532 := (+ #6494 #6511) -#6533 := (+ #185 #6532) -#6534 := (>= #6533 0::int) -#6512 := (* -1::int #6511) -#6516 := (+ uf_9 #6512) -#6517 := (<= #6516 0::int) -#6539 := (or #6517 #6534) -#6572 := (+ #2517 #6511) -#6573 := (+ #185 #6572) -#6576 := (= #6573 0::int) -#6784 := (not #6576) -#6593 := (<= #6573 0::int) -#7348 := (not #6593) -#7173 := [hypothesis]: #6292 -#7349 := (or #7348 #7041 #2519 #6266) -#6828 := (<= #6511 0::int) -#6829 := (not #6828) -#7097 := (or #7324 #6266 #6829) -#6830 := (or #6266 #6829) -#7326 := (or #7324 #6830) -#7328 := (iff #7326 #7097) -#7339 := [rewrite]: #7328 -#7327 := [quant-inst]: #7326 -#7340 := [mp #7327 #7339]: #7097 -#7323 := [unit-resolution #7340 #3878 #7173]: #6829 -#7346 := [hypothesis]: #6593 -#7347 := [th-lemma #7346 #7039 #7038 #7034 #7323]: false -#7350 := [lemma #7347]: #7349 -#7178 := [unit-resolution #7350 #7039 #7034 #7173]: #7348 -#7179 := (or #6784 #6593) -#7309 := [th-lemma]: #7179 -#7321 := [unit-resolution #7309 #7178]: #6784 -#6791 := (or #6539 #6576) -#6785 := [hypothesis]: #6784 -#6560 := (not #6517) -#6542 := (not #6539) -#6786 := [hypothesis]: #6542 -#6561 := (or #6539 #6560) -#6562 := [def-axiom]: #6561 -#6787 := [unit-resolution #6562 #6786]: #6560 -#6563 := (not #6534) -#6564 := (or #6539 #6563) -#6565 := [def-axiom]: #6564 -#6788 := [unit-resolution #6565 #6786]: #6563 -#6579 := (or #6517 #6534 #6576) -#6582 := (or #4068 #6517 #6534 #6576) -#6568 := (+ #6511 #2517) -#6569 := (+ #185 #6568) -#6570 := (= #6569 0::int) -#6513 := (+ #1235 #6512) -#6514 := (+ #6483 #6513) -#6515 := (<= #6514 0::int) -#6571 := (or #6517 #6515 #6570) -#6583 := (or #4068 #6571) -#6590 := (iff #6583 #6582) -#6585 := (or #4068 #6579) -#6588 := (iff #6585 #6582) -#6589 := [rewrite]: #6588 -#6586 := (iff #6583 #6585) -#6580 := (iff #6571 #6579) -#6577 := (iff #6570 #6576) -#6574 := (= #6569 #6573) -#6575 := [rewrite]: #6574 -#6578 := [monotonicity #6575]: #6577 -#6537 := (iff #6515 #6534) -#6525 := (+ #6483 #6512) -#6526 := (+ #1235 #6525) -#6529 := (<= #6526 0::int) -#6535 := (iff #6529 #6534) -#6536 := [rewrite]: #6535 -#6530 := (iff #6515 #6529) -#6527 := (= #6514 #6526) -#6528 := [rewrite]: #6527 -#6531 := [monotonicity #6528]: #6530 -#6538 := [trans #6531 #6536]: #6537 -#6581 := [monotonicity #6538 #6578]: #6580 -#6587 := [monotonicity #6581]: #6586 -#6591 := [trans #6587 #6589]: #6590 -#6584 := [quant-inst]: #6583 -#6592 := [mp #6584 #6591]: #6582 -#6789 := [unit-resolution #6592 #6220]: #6579 -#6790 := [unit-resolution #6789 #6788 #6787 #6785]: false -#6792 := [lemma #6790]: #6791 -#7320 := [unit-resolution #6792 #7321]: #6539 -#6545 := (or #6522 #6542) -#6548 := (or #4076 #6522 #6542) -#6518 := (or #6517 #6515) -#6519 := (not #6518) -#6520 := (= #6483 #1980) -#6521 := (or #6520 #6519) -#6549 := (or #4076 #6521) -#6556 := (iff #6549 #6548) -#6551 := (or #4076 #6545) -#6554 := (iff #6551 #6548) -#6555 := [rewrite]: #6554 -#6552 := (iff #6549 #6551) -#6546 := (iff #6521 #6545) -#6543 := (iff #6519 #6542) -#6540 := (iff #6518 #6539) -#6541 := [monotonicity #6538]: #6540 -#6544 := [monotonicity #6541]: #6543 -#6523 := (iff #6520 #6522) -#6524 := [rewrite]: #6523 -#6547 := [monotonicity #6524 #6544]: #6546 -#6553 := [monotonicity #6547]: #6552 -#6557 := [trans #6553 #6555]: #6556 -#6550 := [quant-inst]: #6549 -#6558 := [mp #6550 #6557]: #6548 -#7322 := [unit-resolution #6558 #6216]: #6545 -#7325 := [unit-resolution #7322 #7320]: #6522 -#7123 := (not #6522) -#7124 := (or #7123 #6559) -#7167 := [th-lemma]: #7124 -#7341 := [unit-resolution #7167 #7325]: #6559 -#7342 := [th-lemma #7341 #7039 #7038 #7034 #7098]: false -#7345 := [lemma #7342]: #7344 -#7501 := [unit-resolution #7345 #7500 #7499 #7495]: #7041 -#7021 := (or #6356 #6961) -#6969 := [hypothesis]: #7041 -#7017 := [hypothesis]: #6328 -#6874 := (or #3963 #183 #6356 #6961) -#6962 := (or #183 #6356 #6961) -#6875 := (or #3963 #6962) -#6877 := (iff #6875 #6874) -#6878 := [rewrite]: #6877 -#6876 := [quant-inst]: #6875 -#6893 := [mp #6876 #6878]: #6874 -#7020 := [unit-resolution #6893 #7019 #7018 #7017 #6969]: false -#7016 := [lemma #7020]: #7021 -#7502 := [unit-resolution #7016 #7501]: #6356 -#6362 := (not #6339) -#6363 := (or #6362 #6328 #6333) -#6364 := [def-axiom]: #6363 -#7503 := [unit-resolution #6364 #7502 #7454]: #6333 -#6359 := (not #6333) -#7337 := (or #6359 #6819) -#6999 := [hypothesis]: #6333 -#7334 := [symm #6999]: #6329 -#7335 := [monotonicity #7334]: #6819 -#6870 := (not #6819) -#7333 := [hypothesis]: #6870 -#7336 := [unit-resolution #7333 #7335]: false -#7338 := [lemma #7336]: #7337 -#7504 := [unit-resolution #7338 #7503]: #6819 -#6898 := (or #6870 #6821) -#6899 := [th-lemma]: #6898 -#7505 := [unit-resolution #6899 #7504]: #6821 -#7488 := (or #7348 #2519 #6359 #6266) -#7463 := [unit-resolution #7338 #6999]: #6819 -#7464 := [unit-resolution #6899 #7463]: #6821 -#7380 := (uf_1 ?x67!17 ?x68!16) -#7381 := (uf_10 #7380) -#7385 := (* -1::int #7381) -#7457 := (+ #6511 #7385) -#7462 := (>= #7457 0::int) -#7456 := (= #6511 #7381) -#7467 := (= #7381 #6511) -#7465 := (= #7380 #6510) -#7466 := [monotonicity #7334]: #7465 -#7468 := [monotonicity #7466]: #7467 -#7469 := [symm #7468]: #7456 -#7470 := (not #7456) -#7471 := (or #7470 #7462) -#7472 := [th-lemma]: #7471 -#7473 := [unit-resolution #7472 #7469]: #7462 -#7424 := (<= #7381 0::int) -#7425 := (not #7424) -#7428 := (= ?x68!16 ?x67!17) -#7481 := (not #7428) -#7482 := (iff #6292 #7481) -#7479 := (iff #6266 #7428) -#7477 := (iff #7428 #6266) -#7476 := [commutativity]: #6267 -#7474 := (iff #7428 #6260) -#7475 := [monotonicity #7334]: #7474 -#7478 := [trans #7475 #7476]: #7477 -#7480 := [symm #7478]: #7479 -#7483 := [monotonicity #7480]: #7482 -#7484 := [mp #7173 #7483]: #7481 -#7434 := (or #7425 #7428) -#7439 := (or #7324 #7425 #7428) -#7426 := (= ?x67!17 ?x68!16) -#7427 := (or #7426 #7425) -#7440 := (or #7324 #7427) -#7447 := (iff #7440 #7439) -#7442 := (or #7324 #7434) -#7445 := (iff #7442 #7439) -#7446 := [rewrite]: #7445 -#7443 := (iff #7440 #7442) -#7437 := (iff #7427 #7434) -#7431 := (or #7428 #7425) -#7435 := (iff #7431 #7434) -#7436 := [rewrite]: #7435 -#7432 := (iff #7427 #7431) -#7429 := (iff #7426 #7428) -#7430 := [rewrite]: #7429 -#7433 := [monotonicity #7430]: #7432 -#7438 := [trans #7433 #7436]: #7437 -#7444 := [monotonicity #7438]: #7443 -#7448 := [trans #7444 #7446]: #7447 -#7441 := [quant-inst]: #7440 -#7449 := [mp #7441 #7448]: #7439 -#7485 := [unit-resolution #7449 #3878]: #7434 -#7486 := [unit-resolution #7485 #7484]: #7425 -#7487 := [th-lemma #6900 #7486 #7473 #7346 #7034 #7464]: false -#7489 := [lemma #7487]: #7488 -#7506 := [unit-resolution #7489 #7500 #7503 #7495]: #7348 -#7507 := [unit-resolution #7309 #7506]: #6784 -#7508 := [unit-resolution #6792 #7507]: #6539 -#7509 := [unit-resolution #7322 #7508]: #6522 -#7510 := [unit-resolution #7167 #7509]: #6559 -#7511 := [th-lemma #6900 #7499 #7510 #7500 #7505]: false -#7512 := [lemma #7511]: #3075 -#3741 := (or #4151 #3080 #4145) -#3733 := [def-axiom]: #3741 -#29391 := [unit-resolution #3733 #7512]: #29390 -#29392 := [unit-resolution #29391 #29389]: #4145 -#3655 := (or #4142 #4136) -#3656 := [def-axiom]: #3655 -#30174 := [unit-resolution #3656 #29392]: #4136 -#3652 := (or #4139 #3126 #4133) -#3653 := [def-axiom]: #3652 -#30181 := [unit-resolution #3653 #30174]: #4136 -#30177 := [unit-resolution #30181 #25366]: #3126 -#3767 := (or #3121 #2014) -#3761 := [def-axiom]: #3767 -#30178 := [unit-resolution #3761 #30177]: #2014 -#19559 := (+ #2008 #18070) -#21560 := (>= #19559 0::int) -#21561 := (= #2008 #18066) -#18705 := (= #2007 #18065) -#11539 := (= ?x71!19 #11538) -#16935 := (or #5007 #11539) -#16865 := [quant-inst]: #16935 -#22732 := [unit-resolution #16865 #3831]: #11539 -#22885 := (= ?x72!18 uf_22) -#10926 := (= ?x72!18 #6904) -#10925 := (up_6 uf_15 ?x72!18) -#10950 := (not #10925) -#11332 := (uf_4 uf_14 ?x71!19) -#11368 := (* -1::int #11332) -#10897 := (uf_4 uf_14 ?x72!18) -#11464 := (+ #10897 #11368) -#11465 := (+ #2008 #11464) -#11466 := (>= #11465 0::int) -#20486 := (not #11466) -#3599 := (not #2546) -#3600 := (or #3121 #3599) -#3753 := [def-axiom]: #3600 -#30156 := [unit-resolution #3753 #30177]: #3599 -#11082 := (* -1::int #10897) -#11083 := (+ #2005 #11082) -#22657 := (>= #11083 0::int) -#10908 := (= #2005 #10897) -#3768 := (or #3121 #2015) -#3597 := [def-axiom]: #3768 -#30163 := [unit-resolution #3597 #30177]: #2015 -#10911 := (or #3106 #10908) -#19109 := (not #10908) -#26554 := [hypothesis]: #19109 -#22817 := [hypothesis]: #2015 -#10589 := (or #4093 #3106 #10908) -#10898 := (= #10897 #2005) -#10907 := (or #3106 #10898) -#10544 := (or #4093 #10907) -#10543 := (iff #10544 #10589) -#10433 := (or #4093 #10911) -#10439 := (iff #10433 #10589) -#10639 := [rewrite]: #10439 -#10592 := (iff #10544 #10433) -#10912 := (iff #10907 #10911) -#10909 := (iff #10898 #10908) -#10910 := [rewrite]: #10909 -#10913 := [monotonicity #10910]: #10912 -#10593 := [monotonicity #10913]: #10592 -#10545 := [trans #10593 #10639]: #10543 -#10590 := [quant-inst]: #10544 -#10836 := [mp #10590 #10545]: #10589 -#24736 := [unit-resolution #10836 #13487 #22817 #26554]: false -#24651 := [lemma #24736]: #10911 -#30132 := [unit-resolution #24651 #30163]: #10908 -#18810 := (or #19109 #22657) -#19214 := [th-lemma]: #18810 -#30138 := [unit-resolution #19214 #30132]: #22657 -#22794 := (not #22657) -#30135 := (or #20486 #22794 #2546) -#11369 := (+ #2003 #11368) -#11370 := (<= #11369 0::int) -#20553 := (not #11370) -#25610 := [hypothesis]: #20553 -#15168 := (or #4084 #11370) -#11360 := (+ #11332 #2004) -#11361 := (>= #11360 0::int) -#15207 := (or #4084 #11361) -#15251 := (iff #15207 #15168) -#15083 := (iff #15168 #15168) -#15254 := [rewrite]: #15083 -#11373 := (iff #11361 #11370) -#11362 := (+ #2004 #11332) -#11365 := (>= #11362 0::int) -#11371 := (iff #11365 #11370) -#11372 := [rewrite]: #11371 -#11366 := (iff #11361 #11365) -#11363 := (= #11360 #11362) -#11364 := [rewrite]: #11363 -#11367 := [monotonicity #11364]: #11366 -#11374 := [trans #11367 #11372]: #11373 -#15205 := [monotonicity #11374]: #15251 -#15289 := [trans #15205 #15254]: #15251 -#15255 := [quant-inst]: #15207 -#15163 := [mp #15255 #15289]: #15168 -#25611 := [unit-resolution #15163 #7037 #25610]: false -#25612 := [lemma #25611]: #11370 -#20554 := (or #20486 #22794 #20553 #2546) -#20520 := [th-lemma]: #20554 -#30137 := [unit-resolution #20520 #25612]: #30135 -#30131 := [unit-resolution #30137 #30138 #30156]: #20486 -#18604 := [unit-resolution #3662 #6214]: #3949 -#16306 := (or #3954 #2013 #10950 #11466) -#11467 := (or #10950 #2013 #11466) -#16314 := (or #3954 #11467) -#16528 := (iff #16314 #16306) -#11468 := (or #2013 #10950 #11466) -#16531 := (or #3954 #11468) -#16527 := (iff #16531 #16306) -#16599 := [rewrite]: #16527 -#16302 := (iff #16314 #16531) -#11469 := (iff #11467 #11468) -#11470 := [rewrite]: #11469 -#16598 := [monotonicity #11470]: #16302 -#16273 := [trans #16598 #16599]: #16528 -#16530 := [quant-inst]: #16314 -#16623 := [mp #16530 #16273]: #16306 -#30186 := [unit-resolution #16623 #18604 #30178 #30131]: #10950 -#10933 := (or #10925 #10926) -#10928 := (up_6 #8048 ?x72!18) -#10938 := (iff #10928 #10933) -#10919 := (or #6010 #10938) -#10927 := (ite #10926 #5970 #10925) -#10929 := (iff #10928 #10927) -#9877 := (or #6010 #10929) -#10920 := (iff #9877 #10919) -#9876 := (iff #10919 #10919) -#10914 := [rewrite]: #9876 -#10939 := (iff #10929 #10938) -#10936 := (iff #10927 #10933) -#10930 := (ite #10926 true #10925) -#10934 := (iff #10930 #10933) -#10935 := [rewrite]: #10934 -#10931 := (iff #10927 #10930) -#10932 := [monotonicity #5976]: #10931 -#10937 := [trans #10932 #10935]: #10936 -#10940 := [monotonicity #10937]: #10939 -#10127 := [monotonicity #10940]: #10920 -#10900 := [trans #10127 #10914]: #10920 -#10921 := [quant-inst]: #9877 -#9879 := [mp #10921 #10900]: #10919 -#20934 := [unit-resolution #9879 #3851]: #10938 -#18735 := (iff #2015 #10928) -#20942 := (iff #10928 #2015) -#18734 := [monotonicity #8592]: #20942 -#22886 := [symm #18734]: #18735 -#30136 := [mp #30163 #22886]: #10928 -#11095 := (not #10928) -#10096 := (not #10938) -#11478 := (or #10096 #11095 #10933) -#11383 := [def-axiom]: #11478 -#30170 := [unit-resolution #11383 #30136 #20934]: #10933 -#10013 := (not #10933) -#11234 := (or #10013 #10925 #10926) -#11235 := [def-axiom]: #11234 -#30187 := [unit-resolution #11235 #30170 #30186]: #10926 -#30204 := [trans #30187 #9758]: #22885 -#30209 := [monotonicity #30204 #22732]: #18705 -#30203 := [monotonicity #30209]: #21561 -#21225 := (not #21561) -#21229 := (or #21225 #21560) -#20945 := [th-lemma]: #21229 -#30210 := [unit-resolution #20945 #30203]: #21560 -#22878 := (not #21560) -#22827 := (or #17499 #22878 #2013) -#22811 := [hypothesis]: #2014 -#22788 := [hypothesis]: #18075 -#22810 := [hypothesis]: #21560 -#22879 := [th-lemma #22810 #22788 #22811]: false -#22888 := [lemma #22879]: #22827 -#30169 := [unit-resolution #22888 #30210 #30178]: #17499 -#11646 := (uf_4 uf_14 #11538) -#11659 := (* -1::int #11646) -#18084 := (+ #11659 #18066) -#18085 := (+ #185 #18084) -#18086 := (>= #18085 0::int) -#17430 := (not #18086) -#11384 := (uf_1 uf_22 ?x71!19) -#11385 := (uf_10 #11384) -#11402 := (+ #11368 #11385) -#11403 := (+ #185 #11402) -#11404 := (>= #11403 0::int) -#15413 := (not #11404) -#11547 := (uf_2 #2007) -#11552 := (uf_4 uf_14 #11547) -#11565 := (* -1::int #11552) -#11566 := (+ #185 #11565) -#11567 := (<= #11566 0::int) -#11557 := (up_6 uf_15 #11547) -#28137 := (not #11557) -#30214 := (iff #10950 #28137) -#30212 := (iff #10925 #11557) -#30211 := (iff #11557 #10925) -#28262 := (= #11547 ?x72!18) -#11548 := (= ?x72!18 #11547) -#16957 := (or #8156 #11548) -#16964 := [quant-inst]: #16957 -#22805 := [unit-resolution #16964 #3837]: #11548 -#30153 := [symm #22805]: #28262 -#30171 := [monotonicity #30153]: #30211 -#30134 := [symm #30171]: #30212 -#30240 := [monotonicity #30134]: #30214 -#30237 := [mp #30186 #30240]: #28137 -#11572 := (or #11557 #11567) -#26052 := (or #4058 #11557 #11567) -#11555 := (+ #11552 #1235) -#11556 := (>= #11555 0::int) -#11558 := (or #11557 #11556) -#24959 := (or #4058 #11558) -#26166 := (iff #24959 #26052) -#24944 := (or #4058 #11572) -#26155 := (iff #24944 #26052) -#24069 := [rewrite]: #26155 -#24260 := (iff #24959 #24944) -#11573 := (iff #11558 #11572) -#11570 := (iff #11556 #11567) -#11559 := (+ #1235 #11552) -#11562 := (>= #11559 0::int) -#11568 := (iff #11562 #11567) -#11569 := [rewrite]: #11568 -#11563 := (iff #11556 #11562) -#11560 := (= #11555 #11559) -#11561 := [rewrite]: #11560 -#11564 := [monotonicity #11561]: #11563 -#11571 := [trans #11564 #11569]: #11570 -#11574 := [monotonicity #11571]: #11573 -#24990 := [monotonicity #11574]: #24260 -#24992 := [trans #24990 #24069]: #26166 -#24970 := [quant-inst]: #24959 -#26321 := [mp #24970 #24992]: #26052 -#30243 := [unit-resolution #26321 #7497]: #11572 -#30133 := [unit-resolution #30243 #30237]: #11567 -#22774 := (not #11567) -#22822 := (or #15413 #2546 #22878 #22774 #22794) -#22808 := [hypothesis]: #11404 -#22807 := [hypothesis]: #22657 -#17228 := (+ #10897 #11565) -#17121 := (>= #17228 0::int) -#17229 := (= #10897 #11552) -#22789 := [monotonicity #22805]: #17229 -#22790 := (not #17229) -#22787 := (or #22790 #17121) -#22771 := [th-lemma]: #22787 -#22781 := [unit-resolution #22771 #22789]: #17121 -#22802 := [hypothesis]: #11567 -#22779 := [hypothesis]: #3599 -#22829 := [unit-resolution #15163 #7037]: #11370 -#18268 := (+ #11385 #18070) -#18269 := (<= #18268 0::int) -#17117 := (= #11385 #18066) -#22830 := (= #11384 #18065) -#22818 := [monotonicity #22732]: #22830 -#22816 := [monotonicity #22818]: #17117 -#22804 := (not #17117) -#22797 := (or #22804 #18269) -#22821 := [th-lemma]: #22797 -#22813 := [unit-resolution #22821 #22816]: #18269 -#22819 := [th-lemma #22813 #22829 #22779 #22810 #22802 #22781 #22807 #22808]: false -#18715 := [lemma #22819]: #22822 -#30242 := [unit-resolution #18715 #30210 #30138 #30133 #30156]: #15413 -#30247 := (or #17430 #11404) -#18270 := (>= #18268 0::int) -#22014 := (uf_1 #6904 ?x72!18) -#23089 := (uf_3 #22014) -#25777 := (uf_1 #23089 ?x71!19) -#25872 := (uf_3 #25777) -#27572 := (= #25872 #11538) -#26806 := (= #11538 #25872) -#26804 := (= #2007 #25777) -#23115 := (= ?x72!18 #23089) -#17768 := (or #5007 #23115) -#17877 := [quant-inst]: #17768 -#26799 := [unit-resolution #17877 #3831]: #23115 -#27568 := [monotonicity #26799]: #26804 -#27571 := [monotonicity #27568]: #26806 -#27573 := [symm #27571]: #27572 -#25873 := (= ?x71!19 #25872) -#26816 := (not #25873) -#27263 := [hypothesis]: #26816 -#27265 := (or #5007 #25873) -#27266 := [quant-inst]: #27265 -#27264 := [unit-resolution #27266 #3831 #27263]: false -#27269 := [lemma #27264]: #25873 -#27574 := [trans #27269 #27573]: #11539 -#28371 := [monotonicity #27574]: #22830 -#28372 := [monotonicity #28371]: #17117 -#28370 := [hypothesis]: #22804 -#28373 := [unit-resolution #28370 #28372]: false -#28374 := [lemma #28373]: #17117 -#20936 := (or #22804 #18270) -#20938 := [th-lemma]: #20936 -#30213 := [unit-resolution #20938 #28374]: #18270 -#21441 := (not #18270) -#30244 := (or #17430 #11404 #21441) -#18023 := (+ #11332 #11659) -#18024 := (<= #18023 0::int) -#17225 := (= #11332 #11646) -#26817 := (or #26816 #17225) -#26812 := (= #11646 #11332) -#26810 := (= #11538 ?x71!19) -#26808 := (= #25872 ?x71!19) -#26794 := [hypothesis]: #25873 -#26809 := [symm #26794]: #26808 -#26802 := (= #25777 #2007) -#26800 := (= #23089 ?x72!18) -#26801 := [symm #26799]: #26800 -#26803 := [monotonicity #26801]: #26802 -#26805 := [symm #26803]: #26804 -#26807 := [monotonicity #26805]: #26806 -#26811 := [trans #26807 #26809]: #26810 -#26813 := [monotonicity #26811]: #26812 -#26814 := [symm #26813]: #17225 -#21448 := (not #17225) -#26793 := [hypothesis]: #21448 -#26815 := [unit-resolution #26793 #26814]: false -#26818 := [lemma #26815]: #26817 -#30239 := [unit-resolution #26818 #27269]: #17225 -#21454 := (or #21448 #18024) -#20933 := [th-lemma]: #21454 -#30238 := [unit-resolution #20933 #30239]: #18024 -#22247 := (not #18024) -#22226 := (or #17430 #22247 #11404 #21441) -#22243 := [th-lemma]: #22226 -#30246 := [unit-resolution #22243 #30238]: #30244 -#30265 := [unit-resolution #30246 #30213]: #30247 -#30266 := [unit-resolution #30265 #30242]: #17430 -#25738 := (or #18075 #18086 #18113) -#26503 := [hypothesis]: #17430 -#26498 := [hypothesis]: #17499 -#18095 := (= #18092 0::int) -#22231 := (not #18095) -#25748 := (not #18113) -#25749 := [hypothesis]: #25748 -#22367 := (or #22231 #18113) -#22447 := [th-lemma]: #22367 -#25750 := [unit-resolution #22447 #25749]: #22231 -#26505 := (or #18095 #18086 #18075) -#26497 := [hypothesis]: #22231 -#17115 := (or #4068 #18075 #18086 #18095) -#18067 := (+ #18066 #18049) -#18068 := (+ #185 #18067) -#18069 := (= #18068 0::int) -#18071 := (+ #1235 #18070) -#18072 := (+ #11646 #18071) -#18073 := (<= #18072 0::int) -#18076 := (or #18075 #18073 #18069) -#17396 := (or #4068 #18076) -#17345 := (iff #17396 #17115) -#18098 := (or #18075 #18086 #18095) -#17361 := (or #4068 #18098) -#17360 := (iff #17361 #17115) -#17359 := [rewrite]: #17360 -#17363 := (iff #17396 #17361) -#18099 := (iff #18076 #18098) -#18096 := (iff #18069 #18095) -#18093 := (= #18068 #18092) -#18094 := [rewrite]: #18093 -#18097 := [monotonicity #18094]: #18096 -#18089 := (iff #18073 #18086) -#18077 := (+ #11646 #18070) -#18078 := (+ #1235 #18077) -#18081 := (<= #18078 0::int) -#18087 := (iff #18081 #18086) -#18088 := [rewrite]: #18087 -#18082 := (iff #18073 #18081) -#18079 := (= #18072 #18078) -#18080 := [rewrite]: #18079 -#18083 := [monotonicity #18080]: #18082 -#18090 := [trans #18083 #18088]: #18089 -#18100 := [monotonicity #18090 #18097]: #18099 -#17346 := [monotonicity #18100]: #17363 -#17364 := [trans #17346 #17359]: #17345 -#17381 := [quant-inst]: #17396 -#17317 := [mp #17381 #17364]: #17115 -#26504 := [unit-resolution #17317 #6220 #26503 #26498 #26497]: false -#26506 := [lemma #26504]: #26505 -#25751 := [unit-resolution #26506 #25750 #26498 #26503]: false -#25739 := [lemma #25751]: #25738 -#30267 := [unit-resolution #25739 #30266 #30169]: #18113 -#25874 := (uf_2 #25777) -#25875 := (= #23089 #25874) -#28275 := (not #25875) -#28360 := [hypothesis]: #28275 -#28362 := (or #8156 #25875) -#28363 := [quant-inst]: #28362 -#28361 := [unit-resolution #28363 #3837 #28360]: false -#28364 := [lemma #28361]: #25875 -#28276 := (or #28275 #17229) -#28264 := (= #11552 #10897) -#28260 := (= #11547 #23089) -#28258 := (= #25874 #23089) -#28251 := [hypothesis]: #25875 -#28259 := [symm #28251]: #28258 -#28256 := (= #11547 #25874) -#28257 := [monotonicity #27568]: #28256 -#28261 := [trans #28257 #28259]: #28260 -#28263 := [trans #28261 #26801]: #28262 -#28265 := [monotonicity #28263]: #28264 -#28273 := [symm #28265]: #17229 -#28210 := [hypothesis]: #22790 -#28274 := [unit-resolution #28210 #28273]: false -#28277 := [lemma #28274]: #28276 -#26555 := [unit-resolution #28277 #28364]: #17229 -#30245 := [unit-resolution #22771 #26555]: #17121 -#18258 := (+ #2003 #18049) -#18261 := (<= #18258 0::int) -#17226 := (= #2003 #18030) -#27788 := [monotonicity #27574]: #17226 -#21452 := (not #17226) -#27567 := [hypothesis]: #21452 -#27789 := [unit-resolution #27567 #27788]: false -#27872 := [lemma #27789]: #17226 -#22901 := (or #21452 #18261) -#22182 := [th-lemma]: #22901 -#30269 := [unit-resolution #22182 #27872]: #18261 -[th-lemma #30269 #30245 #30138 #30133 #30156 #30210 #30267]: false +#329 := (iff #51 #328) +#326 := (iff #50 #325) +#323 := (iff #49 #321) +#324 := [rewrite]: #323 +#327 := [monotonicity #324]: #326 +#330 := [quant-intro #327]: #329 +#320 := [asserted]: #51 +#333 := [mp #320 #330]: #328 +#1690 := [mp~ #333 #1651]: #328 +#4022 := [mp #1690 #4021]: #4017 +#8841 := (not #4017) +#8843 := (or #8841 #3683) +#3682 := (iff #3683 #3681) +#8837 := (or #8841 #3682) +#8844 := (iff #8837 #8843) +#8846 := (iff #8843 #8843) +#8847 := [rewrite]: #8846 +#3668 := (iff #3682 #3683) +#3674 := (iff #3683 true) +#3676 := (iff #3674 #3683) +#3677 := [rewrite]: #3676 +#3675 := (iff #3682 #3674) +#3667 := [monotonicity #3673]: #3675 +#3678 := [trans #3667 #3677]: #3668 +#8845 := [monotonicity #3678]: #8844 +#8842 := [trans #8845 #8847]: #8844 +#8838 := [quant-inst]: #8837 +#9410 := [mp #8838 #8842]: #8843 +#10818 := [unit-resolution #9410 #4022]: #3683 +#10823 := [mp #10818 #10822]: #4776 +#4777 := (not #4776) +#4781 := (or #4527 #4777) +#10191 := (or #4243 #4527 #4777) +#4780 := (or #4777 #4527) +#10192 := (or #4243 #4780) +#10250 := (iff #10192 #10191) +#10193 := (or #4243 #4781) +#10248 := (iff #10193 #10191) +#10249 := [rewrite]: #10248 +#10194 := (iff #10192 #10193) +#4782 := (iff #4780 #4781) +#4783 := [rewrite]: #4782 +#10247 := [monotonicity #4783]: #10194 +#10252 := [trans #10247 #10249]: #10250 +#10190 := [quant-inst]: #10192 +#10253 := [mp #10190 #10252]: #10191 +#10832 := [unit-resolution #10253 #10831]: #4781 +#10833 := [unit-resolution #10832 #10823]: #4527 +#9343 := (not #4527) +#9344 := (or #9343 #9287) +#9345 := [th-lemma]: #9344 +#10834 := [unit-resolution #9345 #10833]: #9287 +#11672 := (<= #11677 0::int) +#18506 := (or #18442 #11672) +#18507 := [th-lemma]: #18506 +#18508 := [unit-resolution #18507 #18441]: #11672 +#15561 := (>= #5634 0::int) +#18482 := (or #18492 #15561) +#18483 := [th-lemma]: #18482 +#18481 := [unit-resolution #18483 #18491]: #15561 +#18487 := (not #15833) +#18486 := (not #9287) +#18485 := (not #11672) +#18484 := (not #15561) +#18488 := (or #15740 #18484 #18485 #18486 #18487) +#18489 := [th-lemma]: #18488 +#17776 := [unit-resolution #18489 #18481 #18508 #10834 #18505]: #15740 +#15089 := (= #15088 0::int) +#15094 := (not #15089) +#14996 := (+ #2147 #11723) +#15074 := (<= #14996 0::int) +#18551 := (not #15074) +#17160 := (uf_3 #5828) +#17947 := (uf_1 #10482 #17160) +#17948 := (uf_10 #17947) +#17950 := (* -1::int #17948) +#18119 := (+ #5608 #17950) +#18161 := (>= #18119 0::int) +#18116 := (= #5608 #17948) +#17971 := (= #17948 #5608) +#17965 := (= #17947 #5607) +#17826 := (= #17160 ?x75!20) +#17161 := (= ?x75!20 #17160) +#17164 := (or #7756 #17161) +#17165 := [quant-inst]: #17164 +#17777 := [unit-resolution #17165 #3987]: #17161 +#17827 := [symm #17777]: #17826 +#17970 := [monotonicity #13347 #17827]: #17965 +#17974 := [monotonicity #17970]: #17971 +#17975 := [symm #17974]: #18116 +#17976 := (not #18116) +#17979 := (or #17976 #18161) +#18037 := [th-lemma]: #17979 +#18038 := [unit-resolution #18037 #17975]: #18161 +#18048 := (<= #17948 0::int) +#18049 := (not #18048) +#18467 := (= #10482 #17160) +#17898 := (not #18467) +#18462 := (up_6 uf_15 #17160) +#18473 := (or #18462 #18467) +#17926 := (not #18473) +#18465 := (up_6 #11444 #17160) +#18478 := (iff #18465 #18473) +#17873 := (or #6538 #18478) +#18463 := (= #17160 #10482) +#18464 := (ite #18463 #3681 #18462) +#18466 := (iff #18465 #18464) +#17874 := (or #6538 #18466) +#17876 := (iff #17874 #17873) +#17892 := (iff #17873 #17873) +#17893 := [rewrite]: #17892 +#18479 := (iff #18466 #18478) +#18476 := (iff #18464 #18473) +#18470 := (ite #18467 true #18462) +#18474 := (iff #18470 #18473) +#18475 := [rewrite]: #18474 +#18471 := (iff #18464 #18470) +#18468 := (iff #18463 #18467) +#18469 := [rewrite]: #18468 +#18472 := [monotonicity #18469 #3673]: #18471 +#18477 := [trans #18472 #18475]: #18476 +#18480 := [monotonicity #18477]: #18479 +#17891 := [monotonicity #18480]: #17876 +#17894 := [trans #17891 #17893]: #17876 +#17875 := [quant-inst]: #17874 +#17895 := [mp #17875 #17894]: #17873 +#18337 := [unit-resolution #17895 #4007]: #18478 +#17931 := (not #18465) +#4948 := (up_6 uf_23 ?x75!20) +#4949 := (not #4948) +#18452 := (iff #4949 #17931) +#18352 := (iff #4948 #18465) +#18341 := (iff #18465 #4948) +#18342 := [monotonicity #13524 #17827]: #18341 +#18451 := [symm #18342]: #18352 +#18455 := [monotonicity #18451]: #18452 +#5569 := (or #4949 #5566) +#14917 := (or #4243 #4949 #5566) +#5565 := (or #4949 #5562) +#14918 := (or #4243 #5565) +#15338 := (iff #14918 #14917) +#15153 := (or #4243 #5569) +#15201 := (iff #15153 #14917) +#15202 := [rewrite]: #15201 +#15162 := (iff #14918 #15153) +#5570 := (iff #5565 #5569) +#5571 := [monotonicity #5568]: #5570 +#15163 := [monotonicity #5571]: #15162 +#15339 := [trans #15163 #15202]: #15338 +#15152 := [quant-inst]: #14918 +#15340 := [mp #15152 #15339]: #14917 +#18516 := [unit-resolution #15340 #10831]: #5569 +#18338 := [unit-resolution #18516 #18445]: #4949 +#18456 := [mp #18338 #18455]: #17931 +#17929 := (not #18478) +#17930 := (or #17929 #18465 #17926) +#17925 := [def-axiom]: #17930 +#18457 := [unit-resolution #17925 #18456 #18337]: #17926 +#17899 := (or #18473 #17898) +#17900 := [def-axiom]: #17899 +#18460 := [unit-resolution #17900 #18457]: #17898 +#18064 := (or #18049 #18467) +#18066 := (or #7051 #18049 #18467) +#18063 := (or #18467 #18049) +#18067 := (or #7051 #18063) +#18081 := (iff #18067 #18066) +#18073 := (or #7051 #18064) +#18075 := (iff #18073 #18066) +#18076 := [rewrite]: #18075 +#18071 := (iff #18067 #18073) +#18062 := (iff #18063 #18064) +#18065 := [rewrite]: #18062 +#18074 := [monotonicity #18065]: #18071 +#18082 := [trans #18074 #18076]: #18081 +#18072 := [quant-inst]: #18067 +#18080 := [mp #18072 #18082]: #18066 +#18549 := [unit-resolution #18080 #4034]: #18064 +#18550 := [unit-resolution #18549 #18460]: #18049 +#18552 := (not #18161) +#18553 := (or #18551 #18496 #18497 #18498 #18048 #18552) +#18554 := [th-lemma]: #18553 +#18555 := [unit-resolution #18554 #18495 #18444 #10836 #18550 #18038]: #18551 +#18562 := (or #15074 #15094) +#11728 := (up_6 uf_23 #10482) +#18558 := (iff #3683 #11728) +#18556 := (iff #11728 #3683) +#18557 := [monotonicity #10380 #13347]: #18556 +#18559 := [symm #18557]: #18558 +#18560 := [mp #10818 #18559]: #11728 +#18561 := [hypothesis]: #4272 +#11732 := (not #11728) +#15729 := (or #4277 #11732 #15074 #15094) +#15061 := (+ #2148 #15060) +#15062 := (+ #11725 #15061) +#15063 := (= #15062 0::int) +#15064 := (not #15063) +#15065 := (+ #11725 #2148) +#15066 := (>= #15065 0::int) +#15067 := (or #11732 #15066 #15064) +#15730 := (or #4277 #15067) +#15737 := (iff #15730 #15729) +#15097 := (or #11732 #15074 #15094) +#15732 := (or #4277 #15097) +#15735 := (iff #15732 #15729) +#15736 := [rewrite]: #15735 +#15733 := (iff #15730 #15732) +#15098 := (iff #15067 #15097) +#15095 := (iff #15064 #15094) +#15092 := (iff #15063 #15089) +#15079 := (+ #11725 #15060) +#15080 := (+ #2148 #15079) +#15083 := (= #15080 0::int) +#15090 := (iff #15083 #15089) +#15091 := [rewrite]: #15090 +#15084 := (iff #15063 #15083) +#15081 := (= #15062 #15080) +#15082 := [rewrite]: #15081 +#15085 := [monotonicity #15082]: #15084 +#15093 := [trans #15085 #15091]: #15092 +#15096 := [monotonicity #15093]: #15095 +#15077 := (iff #15066 #15074) +#15068 := (+ #2148 #11725) +#15071 := (>= #15068 0::int) +#15075 := (iff #15071 #15074) +#15076 := [rewrite]: #15075 +#15072 := (iff #15066 #15071) +#15069 := (= #15065 #15068) +#15070 := [rewrite]: #15069 +#15073 := [monotonicity #15070]: #15072 +#15078 := [trans #15073 #15076]: #15077 +#15099 := [monotonicity #15078 #15096]: #15098 +#15734 := [monotonicity #15099]: #15733 +#15738 := [trans #15734 #15736]: #15737 +#15731 := [quant-inst]: #15730 +#15739 := [mp #15731 #15738]: #15729 +#18563 := [unit-resolution #15739 #18561 #18560]: #18562 +#18564 := [unit-resolution #18563 #18555]: #15094 +#18566 := (not #15741) +#18565 := (not #15740) +#18567 := (or #15089 #18565 #18566) +#18568 := [th-lemma]: #18567 +#18569 := [unit-resolution #18568 #18564 #17776 #18502]: false +#18571 := [lemma #18569]: #18570 +#27208 := [unit-resolution #18571 #27207]: #5566 +#18519 := (or #18518 #18461) +#18520 := [th-lemma]: #18519 +#27209 := [unit-resolution #18520 #27208]: #18461 +#22580 := (not #18461) +#22586 := (or #22585 #22580 #2159) +#22581 := [hypothesis]: #2160 +#22582 := [hypothesis]: #18461 +#22583 := [hypothesis]: #5840 +#22584 := [th-lemma #22583 #22582 #22581]: false +#22587 := [lemma #22584]: #22586 +#27210 := [unit-resolution #22587 #27209 #27206]: #22585 +#3914 := (or #4280 #2724) +#3796 := [def-axiom]: #3914 +#27211 := [unit-resolution #3796 #27205]: #2724 +#16286 := (or #4129 #2721 #5840 #5845) +#5837 := (or #5836 #5834 #5827) +#5838 := (not #5837) +#5841 := (or #2161 #5840 #5838) +#16309 := (or #4129 #5841) +#16464 := (iff #16309 #16286) +#5848 := (or #2721 #5840 #5845) +#16025 := (or #4129 #5848) +#16414 := (iff #16025 #16286) +#16302 := [rewrite]: #16414 +#16445 := (iff #16309 #16025) +#5849 := (iff #5841 #5848) +#5846 := (iff #5838 #5845) +#5843 := (iff #5837 #5842) +#5844 := [rewrite]: #5843 +#5847 := [monotonicity #5844]: #5846 +#5850 := [monotonicity #2723 #5847]: #5849 +#16461 := [monotonicity #5850]: #16445 +#16413 := [trans #16461 #16302]: #16464 +#16307 := [quant-inst]: #16309 +#16444 := [mp #16307 #16413]: #16286 +#27212 := [unit-resolution #16444 #10442 #27211 #27210]: #5845 +#16693 := (or #5842 #5835) +#16554 := [def-axiom]: #16693 +#27213 := [unit-resolution #16554 #27212]: #5835 +#27221 := [mp #27213 #27220]: #25893 +#25894 := (not #25893) +#27098 := (or #27081 #25894) +#27099 := [def-axiom]: #27098 +#27222 := [unit-resolution #27099 #27221]: #27081 +#27103 := (not #27081) +#27107 := (or #27106 #27073 #27103) +#27108 := [def-axiom]: #27107 +#27224 := [unit-resolution #27108 #27222]: #27223 +#27225 := [unit-resolution #27224 #27196]: #27073 +#27234 := [unit-resolution #27225 #27233]: false +#27235 := [lemma #27234]: #16800 +#16798 := (uf_24 #5823) +#16817 := (* -1::int #16798) +#17010 := (+ #2147 #16817) +#17011 := (<= #17010 0::int) +#22559 := (not #17011) +#15902 := (not #5827) +#16589 := (or #5842 #15902) +#16412 := [def-axiom]: #16589 +#22552 := [unit-resolution #16412 #27212]: #15902 +#16818 := (+ #5824 #16817) +#16819 := (>= #16818 0::int) +#16900 := (or #4234 #16819) +#15938 := [quant-inst]: #16900 +#22558 := [unit-resolution #15938 #10835]: #16819 +#22544 := (not #16819) +#23021 := (or #22559 #5827 #22580 #22544) +#22554 := [th-lemma]: #23021 +#18055 := [unit-resolution #22554 #27209 #22558 #22552]: #22559 +#16977 := (+ #5830 #16817) +#16978 := (+ #2147 #16977) +#17021 := (= #16978 0::int) +#19944 := (>= #16978 0::int) +#9360 := (>= #5832 0::int) +#16497 := (or #5842 #5833) +#16618 := [def-axiom]: #16497 +#16042 := [unit-resolution #16618 #27212]: #5833 +#21361 := (or #5834 #9360) +#21365 := [th-lemma]: #21361 +#22952 := [unit-resolution #21365 #16042]: #9360 +#22974 := (not #9360) +#23033 := (or #19944 #22974 #22580 #22544) +#22976 := [th-lemma]: #23033 +#22955 := [unit-resolution #22976 #22952 #22558 #27209]: #19944 +#16979 := (<= #16978 0::int) +#22549 := (<= #16818 0::int) +#16799 := (= #5824 #16798) +#16803 := (or #16799 #16801) +#17738 := (or #4243 #16799 #16801) +#16802 := (or #16801 #16799) +#18032 := (or #4243 #16802) +#15937 := (iff #18032 #17738) +#18787 := (or #4243 #16803) +#18974 := (iff #18787 #17738) +#19070 := [rewrite]: #18974 +#19064 := (iff #18032 #18787) +#16804 := (iff #16802 #16803) +#16805 := [rewrite]: #16804 +#17444 := [monotonicity #16805]: #19064 +#19082 := [trans #17444 #19070]: #15937 +#19040 := [quant-inst]: #18032 +#17767 := [mp #19040 #19082]: #17738 +#18817 := [unit-resolution #17767 #10831]: #16803 +#23050 := [unit-resolution #18817 #27235]: #16799 +#23024 := (not #16799) +#23019 := (or #23024 #22549) +#23047 := [th-lemma]: #23019 +#23015 := [unit-resolution #23047 #23050]: #22549 +#5593 := (<= #5592 0::int) +#20441 := (not #5593) +#20442 := [hypothesis]: #20441 +#20353 := (or #4234 #5593) +#5583 := (+ #5561 #2148) +#5584 := (>= #5583 0::int) +#20370 := (or #4234 #5584) +#20377 := (iff #20370 #20353) +#20384 := (iff #20353 #20353) +#20387 := [rewrite]: #20384 +#5596 := (iff #5584 #5593) +#5585 := (+ #2148 #5561) +#5588 := (>= #5585 0::int) +#5594 := (iff #5588 #5593) +#5595 := [rewrite]: #5594 +#5589 := (iff #5584 #5588) +#5586 := (= #5583 #5585) +#5587 := [rewrite]: #5586 +#5590 := [monotonicity #5587]: #5589 +#5597 := [trans #5590 #5595]: #5596 +#20383 := [monotonicity #5597]: #20377 +#20388 := [trans #20383 #20387]: #20377 +#20376 := [quant-inst]: #20370 +#20438 := [mp #20376 #20388]: #20353 +#20437 := [unit-resolution #20438 #10835 #20442]: false +#20443 := [lemma #20437]: #5593 +#15900 := (<= #5832 0::int) +#23077 := (or #5834 #15900) +#23040 := [th-lemma]: #23077 +#23022 := [unit-resolution #23040 #16042]: #15900 +#23053 := (not #22549) +#22936 := (not #15900) +#23179 := (or #16979 #22936 #20441 #23053) +#23061 := [th-lemma]: #23179 +#23075 := [unit-resolution #23061 #23022 #20443 #23015]: #16979 +#23181 := (not #19944) +#23180 := (not #16979) +#23059 := (or #17021 #23180 #23181) +#23057 := [th-lemma]: #23059 +#23182 := [unit-resolution #23057 #23075 #22955]: #17021 +#17026 := (not #17021) +#17029 := (or #16801 #17011 #17026) +#19879 := (or #4277 #16801 #17011 #17026) +#16998 := (+ #2148 #5829) +#16999 := (+ #16798 #16998) +#17000 := (= #16999 0::int) +#17001 := (not #17000) +#16962 := (+ #16798 #2148) +#17002 := (>= #16962 0::int) +#17003 := (or #16801 #17002 #17001) +#19880 := (or #4277 #17003) +#19850 := (iff #19880 #19879) +#19873 := (or #4277 #17029) +#19915 := (iff #19873 #19879) +#19874 := [rewrite]: #19915 +#20138 := (iff #19880 #19873) +#17030 := (iff #17003 #17029) +#17027 := (iff #17001 #17026) +#17024 := (iff #17000 #17021) +#16970 := (+ #5829 #16798) +#16971 := (+ #2148 #16970) +#17018 := (= #16971 0::int) +#17022 := (iff #17018 #17021) +#17023 := [rewrite]: #17022 +#17019 := (iff #17000 #17018) +#17016 := (= #16999 #16971) +#17017 := [rewrite]: #17016 +#17020 := [monotonicity #17017]: #17019 +#17025 := [trans #17020 #17023]: #17024 +#17028 := [monotonicity #17025]: #17027 +#17014 := (iff #17002 #17011) +#17004 := (+ #2148 #16798) +#17007 := (>= #17004 0::int) +#17012 := (iff #17007 #17011) +#17013 := [rewrite]: #17012 +#17008 := (iff #17002 #17007) +#17005 := (= #16962 #17004) +#17006 := [rewrite]: #17005 +#17009 := [monotonicity #17006]: #17008 +#17015 := [trans #17009 #17013]: #17014 +#17031 := [monotonicity #17015 #17028]: #17030 +#20025 := [monotonicity #17031]: #20138 +#20123 := [trans #20025 #19874]: #19850 +#19878 := [quant-inst]: #19880 +#19916 := [mp #19878 #20123]: #19879 +#23081 := [unit-resolution #19916 #27207]: #17029 +[unit-resolution #23081 #23182 #18055 #27235]: false unsat diff -r 69eddb55588e -r 6ab14241ae04 src/HOL/Boogie/Examples/cert/Boogie_max --- a/src/HOL/Boogie/Examples/cert/Boogie_max Wed Dec 23 17:36:26 2009 +0100 +++ b/src/HOL/Boogie/Examples/cert/Boogie_max Wed Dec 23 17:37:42 2009 +0100 @@ -14,6 +14,6 @@ (uf_3 Int Int) (uf_1 Int) ) -:assumption (not (implies (and true (and (< 0 uf_1) (and (= uf_2 (uf_3 0)) (and (<= 0 0) (and (<= 0 0) (and (<= 1 1) (<= 1 1))))))) (and (forall (?x1 Int) (implies (and (<= 0 ?x1) (< ?x1 1)) (<= (uf_3 ?x1) uf_2))) (implies (forall (?x2 Int) (implies (and (<= 0 ?x2) (< ?x2 1)) (<= (uf_3 ?x2) uf_2))) (and (= (uf_3 0) uf_2) (implies (and (= (uf_3 0) uf_2) (and true (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (forall (?x3 Int) (implies (and (<= 0 ?x3) (< ?x3 uf_5)) (<= (uf_3 ?x3) uf_6))) (and (= (uf_3 uf_4) uf_6) (and (<= 0 uf_4) (<= 1 uf_5))))))) (and (implies (and true (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (<= uf_1 uf_5) (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (= uf_7 uf_4) (and (= uf_8 uf_6) (= uf_9 uf_5))))))) (and (exists (?x4 Int) (implies (and (<= 0 ?x4) (< ?x4 uf_1)) (= (uf_3 ?x4) uf_8))) (implies (exists (?x5 Int) (implies (and (<= 0 ?x5) (< ?x5 uf_1)) (= (uf_3 ?x5) uf_8))) (forall (?x6 Int) (implies (and (<= 0 ?x6) (< ?x6 uf_1)) (<= (uf_3 ?x6) uf_8)))))) (implies (and true (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (< uf_5 uf_1) (and (<= 0 uf_4) (<= 1 uf_5))))) (and (implies (and true (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (< uf_6 (uf_3 uf_5)) (and (= uf_10 (uf_3 uf_5)) (and (and (<= 1 uf_5) (<= 1 uf_5)) (and (= uf_11 uf_5) (and (= uf_12 uf_10) (and true (and (and (<= 0 uf_11) (<= 1 uf_5)) (and (= uf_13 (+ uf_5 1)) (and (<= 0 uf_11) (<= 2 uf_13)))))))))))) (and (forall (?x7 Int) (implies (and (<= 0 ?x7) (< ?x7 uf_13)) (<= (uf_3 ?x7) uf_12))) (implies (forall (?x8 Int) (implies (and (<= 0 ?x8) (< ?x8 uf_13)) (<= (uf_3 ?x8) uf_12))) (= (uf_3 uf_11) uf_12)))) (implies (and true (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (<= (uf_3 uf_5) uf_6) (and (and (<= 0 uf_4) (<= 1 uf_5)) (and (= uf_11 uf_4) (and (= uf_12 uf_6) (and true (and (and (<= 0 uf_11) (<= 1 uf_5)) (and (= uf_13 (+ uf_5 1)) (and (<= 0 uf_11) (<= 2 uf_13))))))))))) (and (forall (?x9 Int) (implies (and (<= 0 ?x9) (< ?x9 uf_13)) (<= (uf_3 ?x9) uf_12))) (implies (forall (?x10 Int) (implies (and (<= 0 ?x10) (< ?x10 uf_13)) (<= (uf_3 ?x10) uf_12))) (= (uf_3 uf_11) uf_12))))))))))))) +:assumption (not (implies true (implies (< 0 uf_1) (implies (= uf_2 (uf_3 0)) (implies (and (<= 0 0) (and (<= 0 0) (and (<= 1 1) (<= 1 1)))) (and (forall (?x1 Int) (implies (and (<= 0 ?x1) (< ?x1 1)) (<= (uf_3 ?x1) uf_2))) (implies (forall (?x2 Int) (implies (and (<= 0 ?x2) (< ?x2 1)) (<= (uf_3 ?x2) uf_2))) (and (= (uf_3 0) uf_2) (implies (= (uf_3 0) uf_2) (implies true (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (forall (?x3 Int) (implies (and (<= 0 ?x3) (< ?x3 uf_5)) (<= (uf_3 ?x3) uf_6))) (implies (= (uf_3 uf_4) uf_6) (implies (and (<= 0 uf_4) (<= 1 uf_5)) (and (implies true (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (<= uf_1 uf_5) (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (= uf_7 uf_4) (implies (= uf_8 uf_6) (implies (= uf_9 uf_5) (and (exists (?x4 Int) (implies (and (<= 0 ?x4) (< ?x4 uf_1)) (= (uf_3 ?x4) uf_8))) (implies (exists (?x5 Int) (implies (and (<= 0 ?x5) (< ?x5 uf_1)) (= (uf_3 ?x5) uf_8))) (and (forall (?x6 Int) (implies (and (<= 0 ?x6) (< ?x6 uf_1)) (<= (uf_3 ?x6) uf_8))) true)))))))))) (implies true (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (< uf_5 uf_1) (implies (and (<= 0 uf_4) (<= 1 uf_5)) (and (implies true (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (< uf_6 (uf_3 uf_5)) (implies (= uf_10 (uf_3 uf_5)) (implies (and (<= 1 uf_5) (<= 1 uf_5)) (implies (= uf_11 uf_5) (implies (= uf_12 uf_10) (implies true (implies (and (<= 0 uf_11) (<= 1 uf_5)) (implies (= uf_13 (+ uf_5 1)) (implies (and (<= 0 uf_11) (<= 2 uf_13)) (and (forall (?x7 Int) (implies (and (<= 0 ?x7) (< ?x7 uf_13)) (<= (uf_3 ?x7) uf_12))) (implies (forall (?x8 Int) (implies (and (<= 0 ?x8) (< ?x8 uf_13)) (<= (uf_3 ?x8) uf_12))) (and (= (uf_3 uf_11) uf_12) true)))))))))))))) (implies true (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (<= (uf_3 uf_5) uf_6) (implies (and (<= 0 uf_4) (<= 1 uf_5)) (implies (= uf_11 uf_4) (implies (= uf_12 uf_6) (implies true (implies (and (<= 0 uf_11) (<= 1 uf_5)) (implies (= uf_13 (+ uf_5 1)) (implies (and (<= 0 uf_11) (<= 2 uf_13)) (and (forall (?x9 Int) (implies (and (<= 0 ?x9) (< ?x9 uf_13)) (<= (uf_3 ?x9) uf_12))) (implies (forall (?x10 Int) (implies (and (<= 0 ?x10) (< ?x10 uf_13)) (<= (uf_3 ?x10) uf_12))) (and (= (uf_3 uf_11) uf_12) true))))))))))))))))))))))))))))))))) :formula true ) diff -r 69eddb55588e -r 6ab14241ae04 src/HOL/Boogie/Examples/cert/Boogie_max.proof --- a/src/HOL/Boogie/Examples/cert/Boogie_max.proof Wed Dec 23 17:36:26 2009 +0100 +++ b/src/HOL/Boogie/Examples/cert/Boogie_max.proof Wed Dec 23 17:37:42 2009 +0100 @@ -1,1995 +1,2224 @@ #2 := false +#4 := 0::int decl uf_3 :: (-> int int) -decl ?x1!0 :: int -#870 := ?x1!0 -#871 := (uf_3 ?x1!0) +#8 := (uf_3 0::int) +#647 := -1::int +#2054 := (* -1::int #8) decl uf_2 :: int #7 := uf_2 -#1833 := (= uf_2 #871) -#4 := 0::int -#8 := (uf_3 0::int) -#1842 := (= #8 #871) -#1841 := (= #871 #8) -#1860 := (= ?x1!0 0::int) -#11 := 1::int -#873 := (>= ?x1!0 1::int) -#874 := (not #873) -#875 := (>= ?x1!0 0::int) -#913 := (not #875) -#516 := -1::int -#827 := (* -1::int #871) -#828 := (+ uf_2 #827) -#872 := (>= #828 0::int) -#1208 := (or #872 #873 #913) -#1213 := (not #1208) -decl ?x4!1 :: int -#900 := ?x4!1 -#908 := (uf_3 ?x4!1) -decl uf_8 :: int -#49 := uf_8 -#1055 := (= uf_8 #908) -#905 := (>= ?x4!1 0::int) -#1286 := (not #905) -#901 := (* -1::int ?x4!1) +#2050 := (+ uf_2 #2054) +#2051 := (>= #2050 0::int) +#9 := (= uf_2 #8) decl uf_1 :: int #5 := uf_1 -#902 := (+ uf_1 #901) -#903 := (<= #902 0::int) -#1301 := (or #903 #1286 #1055) -#1332 := (not #1301) -decl ?x6!2 :: int -#918 := ?x6!2 -#919 := (uf_3 ?x6!2) -#1079 := (* -1::int #919) -#1080 := (+ uf_8 #1079) -#1081 := (>= #1080 0::int) -#926 := (>= ?x6!2 0::int) -#1306 := (not #926) -#922 := (* -1::int ?x6!2) -#923 := (+ uf_1 #922) -#924 := (<= #923 0::int) -#1474 := (or #924 #1306 #1081 #1332) -#1477 := (not #1474) -#19 := (:var 0 int) -#23 := (uf_3 #19) -#1986 := (pattern #23) -#604 := (* -1::int #19) -#605 := (+ uf_1 #604) -#606 := (<= #605 0::int) -#505 := (>= #19 0::int) -#1216 := (not #505) -#61 := (= #23 uf_8) -#1275 := (or #61 #1216 #606) -#1280 := (not #1275) -#2047 := (forall (vars (?x4 int)) (:pat #1986) #1280) -#2052 := (or #2047 #1477) -#2055 := (not #2052) -decl uf_5 :: int -#30 := uf_5 -#533 := (* -1::int uf_5) -#583 := (+ uf_1 #533) -#584 := (<= #583 0::int) -#650 := (not #584) -#557 := (>= uf_5 1::int) -#1349 := (not #557) -decl uf_4 :: int -#28 := uf_4 -#555 := (>= uf_4 0::int) -#1348 := (not #555) -decl uf_9 :: int -#51 := uf_9 -#216 := (= uf_5 uf_9) -#1347 := (not #216) +#965 := (<= uf_1 0::int) decl uf_6 :: int -#35 := uf_6 -#213 := (= uf_6 uf_8) -#1346 := (not #213) -decl uf_7 :: int -#47 := uf_7 -#210 := (= uf_4 uf_7) -#1345 := (not #210) -#2058 := (or #1345 #1346 #1347 #1348 #1349 #650 #2055) -#2061 := (not #2058) -decl ?x7!3 :: int -#954 := ?x7!3 -#955 := (uf_3 ?x7!3) -#1138 := (* -1::int #955) -decl uf_12 :: int -#81 := uf_12 -#1139 := (+ uf_12 #1138) -#1140 := (>= #1139 0::int) -#1116 := (* -1::int ?x7!3) +#32 := uf_6 +#922 := (* -1::int uf_6) +#16 := (:var 0 int) +#20 := (uf_3 #16) +#923 := (+ #20 #922) +#924 := (<= #923 0::int) +decl uf_5 :: int +#27 := uf_5 +#717 := (* -1::int uf_5) +#912 := (+ #16 #717) +#911 := (>= #912 0::int) +#913 := (not #911) +#636 := (>= #16 0::int) +#916 := (and #636 #913) +#919 := (not #916) +#927 := (or #919 #924) +#930 := (forall (vars (?x3 int)) #927) +#933 := (not #930) +#64 := (uf_3 uf_5) +#815 := (* -1::int #64) +#816 := (+ uf_6 #815) +#814 := (>= #816 0::int) +#813 := (not #814) +decl uf_11 :: int +#69 := uf_11 +#749 := (>= uf_11 0::int) +#11 := 1::int +#666 := (>= uf_5 1::int) +#804 := (and #666 #749) +#807 := (not #804) decl uf_13 :: int -#85 := uf_13 -#1117 := (+ uf_13 #1116) -#1118 := (<= #1117 0::int) -#961 := (>= ?x7!3 0::int) -#1389 := (not #961) -#1404 := (or #1389 #1118 #1140) -#1409 := (not #1404) -#733 := (* -1::int uf_12) -#734 := (+ #23 #733) -#735 := (<= #734 0::int) -#674 := (* -1::int uf_13) -#723 := (+ #19 #674) -#722 := (>= #723 0::int) -#1371 := (or #1216 #722 #735) -#2003 := (forall (vars (?x7 int)) (:pat #1986) #1371) -#2008 := (not #2003) -decl uf_11 :: int -#79 := uf_11 -#106 := (uf_3 uf_11) -#358 := (= uf_12 #106) -#2011 := (or #358 #2008) -#2014 := (not #2011) -#2017 := (or #2014 #1409) -#2020 := (not #2017) -#74 := (uf_3 uf_5) -#679 := (* -1::int #74) -#680 := (+ uf_6 #679) -#678 := (>= #680 0::int) -#681 := (not #678) -#675 := (+ uf_5 #674) -#673 := (= #675 -1::int) -#1423 := (not #673) -#88 := 2::int -#671 := (>= uf_13 2::int) -#1422 := (not #671) -#668 := (>= uf_11 0::int) -#1421 := (not #668) -#385 := (= uf_6 uf_12) -#1435 := (not #385) -#382 := (= uf_4 uf_11) -#1434 := (not #382) -#2029 := (or #1434 #1435 #1348 #1349 #1421 #1422 #1423 #681 #2020) -#2032 := (not #2029) +#75 := uf_13 +#761 := (* -1::int uf_13) +#798 := (+ uf_5 #761) +#797 := (= #798 -1::int) +#801 := (not #797) +decl uf_12 :: int +#71 := uf_12 +#772 := (* -1::int uf_12) +#773 := (+ #20 #772) +#774 := (<= #773 0::int) +#762 := (+ #16 #761) +#760 := (>= #762 0::int) +#763 := (not #760) +#766 := (and #636 #763) +#769 := (not #766) +#777 := (or #769 #774) +#780 := (forall (vars (?x7 int)) #777) +#783 := (not #780) +#86 := (uf_3 uf_11) +#302 := (= uf_12 #86) +#789 := (or #302 #783) +#794 := (and #780 #789) +#78 := 2::int +#752 := (>= uf_13 2::int) +#754 := (and #749 #752) +#757 := (not #754) +decl uf_4 :: int +#25 := uf_4 +#663 := (>= uf_4 0::int) +#668 := (and #663 #666) +#671 := (not #668) +#421 := (= uf_6 uf_12) +#427 := (not #421) +#418 := (= uf_4 uf_11) +#436 := (not #418) +#877 := (or #436 #427 #671 #757 #794 #801 #807 #813) +#810 := (not #666) decl uf_10 :: int -#76 := uf_10 -#296 := (= uf_10 uf_12) -#1420 := (not #296) -#293 := (= uf_5 uf_11) -#1419 := (not #293) -#288 := (= #74 uf_10) -#1418 := (not #288) -#2023 := (or #1418 #1419 #1420 #1348 #1349 #1421 #1422 #1423 #678 #2020) -#2026 := (not #2023) -#2035 := (or #2026 #2032) -#2038 := (not #2035) -#2041 := (or #1348 #1349 #584 #2038) -#2044 := (not #2041) -#2064 := (or #2044 #2061) -#2067 := (not #2064) -#543 := (* -1::int uf_6) -#544 := (+ #23 #543) -#545 := (<= #544 0::int) -#534 := (+ #19 #533) -#532 := (>= #534 0::int) -#1253 := (or #1216 #532 #545) -#1995 := (forall (vars (?x3 int)) (:pat #1986) #1253) -#2000 := (not #1995) -#519 := (* -1::int #23) -#520 := (+ uf_2 #519) -#518 := (>= #520 0::int) -#508 := (>= #19 1::int) -#1231 := (or #1216 #508 #518) -#1987 := (forall (vars (?x1 int)) (:pat #1986) #1231) -#1992 := (not #1987) -#39 := (uf_3 uf_4) -#183 := (= uf_6 #39) -#1461 := (not #183) -#2070 := (or #1461 #1348 #1349 #1992 #2000 #2067) -#1123 := (not #1118) -#2073 := (not #2070) -#2289 := [hypothesis]: #2073 -#1885 := (or #2070 #2064) -#1887 := [def-axiom]: #1885 -#2290 := [unit-resolution #1887 #2289]: #2064 -#1898 := (or #2070 #1995) -#1884 := [def-axiom]: #1898 -#2227 := [unit-resolution #1884 #2289]: #1995 -#1907 := (or #2070 #183) -#1891 := [def-axiom]: #1907 -#2228 := [unit-resolution #1891 #2289]: #183 -#2142 := (or #2058 #1461 #2000) -#2082 := (uf_3 uf_7) -#2086 := (= uf_8 #2082) -#2136 := (= #39 #2082) -#2134 := (= #2082 #39) -#48 := (= uf_7 uf_4) -#2119 := [hypothesis]: #2061 -#1824 := (or #2058 #210) -#1825 := [def-axiom]: #1824 -#2130 := [unit-resolution #1825 #2119]: #210 -#2131 := [symm #2130]: #48 -#2135 := [monotonicity #2131]: #2134 -#2137 := [symm #2135]: #2136 -#2138 := (= uf_8 #39) -#2132 := [hypothesis]: #183 -#50 := (= uf_8 uf_6) -#1826 := (or #2058 #213) -#1827 := [def-axiom]: #1826 -#2121 := [unit-resolution #1827 #2119]: #213 -#2133 := [symm #2121]: #50 -#2139 := [trans #2133 #2132]: #2138 -#2140 := [trans #2139 #2137]: #2086 -#2114 := (not #2086) -#2080 := (>= uf_7 0::int) -#2081 := (not #2080) -#1577 := (* -1::int uf_7) -#1575 := (+ uf_1 #1577) -#1578 := (<= #1575 0::int) -#2092 := (or #1578 #2081 #2086) -#2097 := (not #2092) -#1911 := (or #2058 #2052) -#1912 := [def-axiom]: #1911 -#2120 := [unit-resolution #1912 #2119]: #2052 -#630 := (* -1::int uf_8) -#1747 := (+ uf_6 #630) -#1737 := (<= #1747 0::int) -#2122 := (or #1346 #1737) -#2123 := [th-lemma]: #2122 -#2124 := [unit-resolution #2123 #2121]: #1737 -#1630 := [hypothesis]: #1995 -#1899 := (or #2058 #584) -#1901 := [def-axiom]: #1899 -#2125 := [unit-resolution #1901 #2119]: #584 -#1656 := (not #1737) -#1615 := (or #1474 #650 #2000 #1656) -#1642 := [hypothesis]: #584 -#1724 := (+ uf_5 #922) -#1725 := (<= #1724 0::int) -#1717 := (+ uf_6 #1079) -#1718 := (>= #1717 0::int) -#1645 := (not #1718) -#1652 := [hypothesis]: #1737 -#1810 := (not #1081) -#1621 := [hypothesis]: #1477 -#1811 := (or #1474 #1810) -#1770 := [def-axiom]: #1811 -#1623 := [unit-resolution #1770 #1621]: #1810 -#1639 := (or #1645 #1081 #1656) -#1653 := [hypothesis]: #1810 -#1654 := [hypothesis]: #1718 -#1655 := [th-lemma #1654 #1653 #1652]: false -#1641 := [lemma #1655]: #1639 -#1628 := [unit-resolution #1641 #1623 #1652]: #1645 -#1631 := (or #1718 #1725) -#1927 := (or #1474 #926) -#1809 := [def-axiom]: #1927 -#1629 := [unit-resolution #1809 #1621]: #926 -#1699 := (or #2000 #1306 #1718 #1725) -#1729 := (+ #919 #543) -#1730 := (<= #1729 0::int) -#1733 := (+ ?x6!2 #533) -#1734 := (>= #1733 0::int) -#1738 := (or #1306 #1734 #1730) -#1707 := (or #2000 #1738) -#1686 := (iff #1707 #1699) -#1702 := (or #1306 #1718 #1725) -#1693 := (or #2000 #1702) -#1695 := (iff #1693 #1699) -#1697 := [rewrite]: #1695 -#1694 := (iff #1707 #1693) -#1705 := (iff #1738 #1702) -#1698 := (or #1306 #1725 #1718) -#1703 := (iff #1698 #1702) -#1704 := [rewrite]: #1703 -#1700 := (iff #1738 #1698) -#1709 := (iff #1730 #1718) -#1711 := (+ #543 #919) -#1714 := (<= #1711 0::int) -#1719 := (iff #1714 #1718) -#1720 := [rewrite]: #1719 -#1715 := (iff #1730 #1714) -#1712 := (= #1729 #1711) -#1713 := [rewrite]: #1712 -#1716 := [monotonicity #1713]: #1715 -#1721 := [trans #1716 #1720]: #1709 -#1708 := (iff #1734 #1725) -#1731 := (+ #533 ?x6!2) -#1735 := (>= #1731 0::int) -#1723 := (iff #1735 #1725) -#1726 := [rewrite]: #1723 -#1736 := (iff #1734 #1735) -#1739 := (= #1733 #1731) -#1732 := [rewrite]: #1739 -#1722 := [monotonicity #1732]: #1736 -#1710 := [trans #1722 #1726]: #1708 -#1701 := [monotonicity #1710 #1721]: #1700 -#1706 := [trans #1701 #1704]: #1705 -#1696 := [monotonicity #1706]: #1694 -#1687 := [trans #1696 #1697]: #1686 -#1692 := [quant-inst]: #1707 -#1688 := [mp #1692 #1687]: #1699 -#1632 := [unit-resolution #1688 #1630 #1629]: #1631 -#1633 := [unit-resolution #1632 #1628]: #1725 -#925 := (not #924) -#1926 := (or #1474 #925) -#1924 := [def-axiom]: #1926 -#1622 := [unit-resolution #1924 #1621]: #925 -#1634 := [th-lemma #1622 #1633 #1642]: false -#1617 := [lemma #1634]: #1615 -#2126 := [unit-resolution #1617 #2125 #1630 #2124]: #1474 -#1815 := (or #2055 #2047 #1477) -#1823 := [def-axiom]: #1815 -#2127 := [unit-resolution #1823 #2126 #2120]: #2047 -#1919 := (not #2047) -#2100 := (or #1919 #2097) -#2083 := (= #2082 uf_8) -#2084 := (or #2083 #2081 #1578) -#2085 := (not #2084) -#2101 := (or #1919 #2085) -#2103 := (iff #2101 #2100) -#2105 := (iff #2100 #2100) -#2106 := [rewrite]: #2105 -#2098 := (iff #2085 #2097) -#2095 := (iff #2084 #2092) -#2089 := (or #2086 #2081 #1578) -#2093 := (iff #2089 #2092) -#2094 := [rewrite]: #2093 -#2090 := (iff #2084 #2089) -#2087 := (iff #2083 #2086) -#2088 := [rewrite]: #2087 -#2091 := [monotonicity #2088]: #2090 -#2096 := [trans #2091 #2094]: #2095 -#2099 := [monotonicity #2096]: #2098 -#2104 := [monotonicity #2099]: #2103 -#2107 := [trans #2104 #2106]: #2103 -#2102 := [quant-inst]: #2101 -#2108 := [mp #2102 #2107]: #2100 -#2128 := [unit-resolution #2108 #2127]: #2097 -#2115 := (or #2092 #2114) -#2116 := [def-axiom]: #2115 -#2129 := [unit-resolution #2116 #2128]: #2114 -#2141 := [unit-resolution #2129 #2140]: false -#2143 := [lemma #2141]: #2142 -#2229 := [unit-resolution #2143 #2228 #2227]: #2058 -#1906 := (or #2067 #2044 #2061) -#1900 := [def-axiom]: #1906 -#2299 := [unit-resolution #1900 #2229 #2290]: #2044 -#1934 := (or #2041 #2035) -#1928 := [def-axiom]: #1934 -#2376 := [unit-resolution #1928 #2299]: #2035 -#2374 := (or #2029 #2000 #1461) -#2334 := [hypothesis]: #2032 -#1952 := (or #2029 #2017) -#1941 := [def-axiom]: #1952 -#2335 := [unit-resolution #1941 #2334]: #2017 -#2226 := (= #39 #106) -#2340 := (= #106 #39) -#112 := (= uf_11 uf_4) -#1678 := (or #2029 #382) -#1679 := [def-axiom]: #1678 -#2336 := [unit-resolution #1679 #2334]: #382 -#2337 := [symm #2336]: #112 -#2341 := [monotonicity #2337]: #2340 -#2342 := [symm #2341]: #2226 -#2343 := (= uf_12 #39) -#113 := (= uf_12 uf_6) -#1953 := (or #2029 #385) -#1957 := [def-axiom]: #1953 -#2338 := [unit-resolution #1957 #2334]: #385 -#2339 := [symm #2338]: #113 -#2344 := [trans #2339 #2132]: #2343 -#2345 := [trans #2344 #2342]: #358 -#970 := (not #358) -#1643 := (or #2011 #970) -#1978 := [def-axiom]: #1643 -#2346 := [unit-resolution #1978 #2345]: #2011 -#1977 := (or #2020 #2014 #1409) -#1620 := [def-axiom]: #1977 -#2347 := [unit-resolution #1620 #2346 #2335]: #1409 -#1981 := (or #1404 #1123) -#1982 := [def-axiom]: #1981 -#2348 := [unit-resolution #1982 #2347]: #1123 -#1664 := (>= #675 -1::int) -#1665 := (or #2029 #673) -#1947 := [def-axiom]: #1665 -#2349 := [unit-resolution #1947 #2334]: #673 -#2350 := (or #1423 #1664) -#2351 := [th-lemma]: #2350 -#2352 := [unit-resolution #2351 #2349]: #1664 -#2241 := (+ uf_5 #1116) -#2311 := (>= #2241 0::int) -#2367 := (not #2311) -#2300 := (= uf_5 ?x7!3) -#2331 := (not #2300) -#2310 := (= #74 #955) -#2315 := (not #2310) -#2314 := (+ #74 #1138) -#2316 := (>= #2314 0::int) -#2320 := (not #2316) -#1951 := (or #2029 #678) -#1948 := [def-axiom]: #1951 -#2353 := [unit-resolution #1948 #2334]: #678 -#1983 := (not #1140) -#1984 := (or #1404 #1983) -#1979 := [def-axiom]: #1984 -#2354 := [unit-resolution #1979 #2347]: #1983 -#1579 := (+ uf_6 #733) -#1955 := (<= #1579 0::int) -#2355 := (or #1435 #1955) -#2356 := [th-lemma]: #2355 -#2357 := [unit-resolution #2356 #2338]: #1955 -#2296 := (not #1955) -#2321 := (or #2320 #2296 #1140 #681) -#2317 := [hypothesis]: #678 -#2292 := [hypothesis]: #1983 -#2291 := [hypothesis]: #1955 -#2318 := [hypothesis]: #2316 -#2319 := [th-lemma #2318 #2291 #2292 #2317]: false -#2322 := [lemma #2319]: #2321 -#2358 := [unit-resolution #2322 #2357 #2354 #2353]: #2320 -#2323 := (or #2315 #2316) -#2324 := [th-lemma]: #2323 -#2359 := [unit-resolution #2324 #2358]: #2315 -#2332 := (or #2331 #2310) -#2328 := [hypothesis]: #2300 -#2329 := [monotonicity #2328]: #2310 -#2327 := [hypothesis]: #2315 -#2330 := [unit-resolution #2327 #2329]: false -#2333 := [lemma #2330]: #2332 -#2360 := [unit-resolution #2333 #2359]: #2331 -#2370 := (or #2300 #2367) -#2242 := (<= #2241 0::int) -#2253 := (+ uf_6 #1138) -#2254 := (>= #2253 0::int) -#2295 := (not #2254) -#2297 := (or #2295 #1140 #2296) -#2293 := [hypothesis]: #2254 -#2294 := [th-lemma #2293 #2292 #2291]: false -#2298 := [lemma #2294]: #2297 -#2361 := [unit-resolution #2298 #2354 #2357]: #2295 -#2363 := (or #2242 #2254) -#1648 := (or #1404 #961) -#1649 := [def-axiom]: #1648 -#2362 := [unit-resolution #1649 #2347]: #961 -#2262 := (or #2000 #1389 #2242 #2254) -#2230 := (+ #955 #543) -#2231 := (<= #2230 0::int) -#2232 := (+ ?x7!3 #533) -#2233 := (>= #2232 0::int) -#2234 := (or #1389 #2233 #2231) -#2263 := (or #2000 #2234) -#2270 := (iff #2263 #2262) -#2259 := (or #1389 #2242 #2254) -#2265 := (or #2000 #2259) -#2268 := (iff #2265 #2262) -#2269 := [rewrite]: #2268 -#2266 := (iff #2263 #2265) -#2260 := (iff #2234 #2259) -#2257 := (iff #2231 #2254) -#2247 := (+ #543 #955) -#2250 := (<= #2247 0::int) -#2255 := (iff #2250 #2254) -#2256 := [rewrite]: #2255 -#2251 := (iff #2231 #2250) -#2248 := (= #2230 #2247) -#2249 := [rewrite]: #2248 -#2252 := [monotonicity #2249]: #2251 -#2258 := [trans #2252 #2256]: #2257 -#2245 := (iff #2233 #2242) -#2235 := (+ #533 ?x7!3) -#2238 := (>= #2235 0::int) -#2243 := (iff #2238 #2242) -#2244 := [rewrite]: #2243 -#2239 := (iff #2233 #2238) -#2236 := (= #2232 #2235) -#2237 := [rewrite]: #2236 -#2240 := [monotonicity #2237]: #2239 -#2246 := [trans #2240 #2244]: #2245 -#2261 := [monotonicity #2246 #2258]: #2260 -#2267 := [monotonicity #2261]: #2266 -#2271 := [trans #2267 #2269]: #2270 -#2264 := [quant-inst]: #2263 -#2272 := [mp #2264 #2271]: #2262 -#2364 := [unit-resolution #2272 #1630 #2362]: #2363 -#2365 := [unit-resolution #2364 #2361]: #2242 -#2366 := (not #2242) -#2368 := (or #2300 #2366 #2367) -#2369 := [th-lemma]: #2368 -#2371 := [unit-resolution #2369 #2365]: #2370 -#2372 := [unit-resolution #2371 #2360]: #2367 -#2373 := [th-lemma #2372 #2352 #2348]: false -#2375 := [lemma #2373]: #2374 -#2377 := [unit-resolution #2375 #2227 #2228]: #2029 -#1940 := (or #2038 #2026 #2032) -#1946 := [def-axiom]: #1940 -#2378 := [unit-resolution #1946 #2377 #2376]: #2026 -#1970 := (or #2023 #2017) -#1973 := [def-axiom]: #1970 -#2379 := [unit-resolution #1973 #2378]: #2017 -#2388 := (= #74 #106) -#2384 := (= #106 #74) -#80 := (= uf_11 uf_5) -#1625 := (or #2023 #293) -#1626 := [def-axiom]: #1625 -#2382 := [unit-resolution #1626 #2378]: #293 -#2383 := [symm #2382]: #80 -#2385 := [monotonicity #2383]: #2384 -#2389 := [symm #2385]: #2388 -#2390 := (= uf_12 #74) -#77 := (= uf_10 #74) -#1961 := (or #2023 #288) -#1624 := [def-axiom]: #1961 -#2381 := [unit-resolution #1624 #2378]: #288 -#2387 := [symm #2381]: #77 -#82 := (= uf_12 uf_10) -#1627 := (or #2023 #296) -#1963 := [def-axiom]: #1627 -#2380 := [unit-resolution #1963 #2378]: #296 -#2386 := [symm #2380]: #82 -#2391 := [trans #2386 #2387]: #2390 -#2392 := [trans #2391 #2389]: #358 -#2393 := [unit-resolution #1978 #2392]: #2011 -#2394 := [unit-resolution #1620 #2393 #2379]: #1409 -#2395 := [unit-resolution #1982 #2394]: #1123 -#2157 := (+ #74 #733) -#2158 := (<= #2157 0::int) -#2156 := (= #74 uf_12) -#2396 := [trans #2381 #2380]: #2156 -#2397 := (not #2156) -#2398 := (or #2397 #2158) -#2399 := [th-lemma]: #2398 -#2400 := [unit-resolution #2399 #2396]: #2158 -#1612 := (or #2023 #681) -#1972 := [def-axiom]: #1612 -#2401 := [unit-resolution #1972 #2378]: #681 -#2402 := [unit-resolution #1979 #2394]: #1983 -#2403 := (not #2158) -#2404 := (or #2295 #1140 #2403 #678) -#2405 := [th-lemma]: #2404 -#2406 := [unit-resolution #2405 #2402 #2401 #2400]: #2295 -#2407 := [unit-resolution #1649 #2394]: #961 -#2408 := [unit-resolution #2272 #2227 #2407 #2406]: #2242 -#2409 := (or #2320 #1140 #2403) -#2410 := [th-lemma]: #2409 -#2411 := [unit-resolution #2410 #2402 #2400]: #2320 -#2412 := [unit-resolution #2324 #2411]: #2315 -#2413 := [unit-resolution #2333 #2412]: #2331 -#2414 := [unit-resolution #2369 #2413 #2408]: #2367 -#1971 := (or #2023 #673) -#1611 := [def-axiom]: #1971 -#2415 := [unit-resolution #1611 #2378]: #673 -#2416 := [unit-resolution #2351 #2415]: #1664 -#2417 := [th-lemma #2416 #2414 #2395]: false -#2418 := [lemma #2417]: #2070 -#2076 := (or #1213 #2073) -#1283 := (forall (vars (?x4 int)) #1280) -#1480 := (or #1283 #1477) -#1483 := (not #1480) -#1486 := (or #1345 #1346 #1347 #1348 #1349 #650 #1483) -#1489 := (not #1486) -#1376 := (forall (vars (?x7 int)) #1371) -#1382 := (not #1376) -#1383 := (or #358 #1382) -#1384 := (not #1383) -#1412 := (or #1384 #1409) -#1424 := (not #1412) -#1436 := (or #1434 #1435 #1348 #1349 #1421 #1422 #1423 #681 #1424) -#1437 := (not #1436) -#1425 := (or #1418 #1419 #1420 #1348 #1349 #1421 #1422 #1423 #678 #1424) -#1426 := (not #1425) -#1442 := (or #1426 #1437) -#1448 := (not #1442) -#1449 := (or #1348 #1349 #584 #1448) -#1450 := (not #1449) -#1495 := (or #1450 #1489) -#1500 := (not #1495) -#1258 := (forall (vars (?x3 int)) #1253) -#1463 := (not #1258) -#1236 := (forall (vars (?x1 int)) #1231) -#1462 := (not #1236) -#1503 := (or #1461 #1348 #1349 #1462 #1463 #1500) -#1506 := (not #1503) -#1509 := (or #1213 #1506) -#2077 := (iff #1509 #2076) -#2074 := (iff #1506 #2073) -#2071 := (iff #1503 #2070) -#2068 := (iff #1500 #2067) -#2065 := (iff #1495 #2064) -#2062 := (iff #1489 #2061) -#2059 := (iff #1486 #2058) -#2056 := (iff #1483 #2055) -#2053 := (iff #1480 #2052) -#2050 := (iff #1283 #2047) -#2048 := (iff #1280 #1280) -#2049 := [refl]: #2048 -#2051 := [quant-intro #2049]: #2050 -#2054 := [monotonicity #2051]: #2053 -#2057 := [monotonicity #2054]: #2056 -#2060 := [monotonicity #2057]: #2059 -#2063 := [monotonicity #2060]: #2062 -#2045 := (iff #1450 #2044) -#2042 := (iff #1449 #2041) -#2039 := (iff #1448 #2038) -#2036 := (iff #1442 #2035) -#2033 := (iff #1437 #2032) -#2030 := (iff #1436 #2029) -#2021 := (iff #1424 #2020) -#2018 := (iff #1412 #2017) -#2015 := (iff #1384 #2014) -#2012 := (iff #1383 #2011) -#2009 := (iff #1382 #2008) -#2006 := (iff #1376 #2003) -#2004 := (iff #1371 #1371) -#2005 := [refl]: #2004 -#2007 := [quant-intro #2005]: #2006 -#2010 := [monotonicity #2007]: #2009 -#2013 := [monotonicity #2010]: #2012 -#2016 := [monotonicity #2013]: #2015 -#2019 := [monotonicity #2016]: #2018 -#2022 := [monotonicity #2019]: #2021 -#2031 := [monotonicity #2022]: #2030 -#2034 := [monotonicity #2031]: #2033 -#2027 := (iff #1426 #2026) -#2024 := (iff #1425 #2023) -#2025 := [monotonicity #2022]: #2024 -#2028 := [monotonicity #2025]: #2027 -#2037 := [monotonicity #2028 #2034]: #2036 -#2040 := [monotonicity #2037]: #2039 -#2043 := [monotonicity #2040]: #2042 -#2046 := [monotonicity #2043]: #2045 -#2066 := [monotonicity #2046 #2063]: #2065 -#2069 := [monotonicity #2066]: #2068 -#2001 := (iff #1463 #2000) -#1998 := (iff #1258 #1995) -#1996 := (iff #1253 #1253) -#1997 := [refl]: #1996 -#1999 := [quant-intro #1997]: #1998 -#2002 := [monotonicity #1999]: #2001 -#1993 := (iff #1462 #1992) -#1990 := (iff #1236 #1987) -#1988 := (iff #1231 #1231) -#1989 := [refl]: #1988 -#1991 := [quant-intro #1989]: #1990 -#1994 := [monotonicity #1991]: #1993 -#2072 := [monotonicity #1994 #2002 #2069]: #2071 -#2075 := [monotonicity #2072]: #2074 -#2078 := [monotonicity #2075]: #2077 -#1126 := (and #961 #1123) -#1129 := (not #1126) -#1145 := (or #1129 #1140) -#1148 := (not #1145) -#724 := (not #722) -#727 := (and #505 #724) -#730 := (not #727) -#738 := (or #730 #735) -#741 := (forall (vars (?x7 int)) #738) -#980 := (and #970 #741) -#1154 := (or #980 #1148) -#1172 := (and #382 #385 #555 #557 #668 #671 #673 #678 #1154) -#1162 := (and #288 #293 #296 #555 #557 #668 #671 #673 #681 #1154) -#1177 := (or #1162 #1172) -#1183 := (and #555 #557 #650 #1177) -#1067 := (and #925 #926) -#1070 := (not #1067) -#1086 := (or #1070 #1081) -#1089 := (not #1086) -#904 := (not #903) -#1058 := (and #904 #905) -#1061 := (not #1058) -#1064 := (or #1055 #1061) -#1092 := (and #1064 #1089) -#607 := (not #606) -#610 := (and #505 #607) -#613 := (not #610) -#619 := (or #61 #613) -#894 := (not #619) -#897 := (forall (vars (?x4 int)) #894) -#1095 := (or #897 #1092) -#1101 := (and #210 #213 #216 #555 #557 #584 #1095) -#1188 := (or #1101 #1183) -#531 := (not #532) -#537 := (and #505 #531) -#540 := (not #537) -#548 := (or #540 #545) -#551 := (forall (vars (?x3 int)) #548) -#506 := (not #508) -#510 := (and #505 #506) -#513 := (not #510) -#522 := (or #513 #518) -#525 := (forall (vars (?x1 int)) #522) -#1194 := (and #183 #525 #551 #555 #557 #1188) -#1036 := (and #874 #875) -#1039 := (not #1036) -#1045 := (or #872 #1039) -#1050 := (not #1045) -#1199 := (or #1050 #1194) -#1512 := (iff #1199 #1509) -#1321 := (or #924 #1306 #1081) -#1333 := (or #1332 #1321) -#1334 := (not #1333) -#1339 := (or #1283 #1334) -#1350 := (not #1339) -#1351 := (or #1345 #1346 #1347 #1348 #1349 #650 #1350) -#1352 := (not #1351) -#1455 := (or #1352 #1450) -#1464 := (not #1455) -#1465 := (or #1461 #1348 #1349 #1462 #1463 #1464) -#1466 := (not #1465) -#1471 := (or #1213 #1466) -#1510 := (iff #1471 #1509) -#1507 := (iff #1466 #1506) -#1504 := (iff #1465 #1503) -#1501 := (iff #1464 #1500) -#1498 := (iff #1455 #1495) -#1492 := (or #1489 #1450) -#1496 := (iff #1492 #1495) -#1497 := [rewrite]: #1496 -#1493 := (iff #1455 #1492) -#1490 := (iff #1352 #1489) -#1487 := (iff #1351 #1486) -#1484 := (iff #1350 #1483) -#1481 := (iff #1339 #1480) -#1478 := (iff #1334 #1477) -#1475 := (iff #1333 #1474) -#1476 := [rewrite]: #1475 -#1479 := [monotonicity #1476]: #1478 -#1482 := [monotonicity #1479]: #1481 -#1485 := [monotonicity #1482]: #1484 -#1488 := [monotonicity #1485]: #1487 -#1491 := [monotonicity #1488]: #1490 -#1494 := [monotonicity #1491]: #1493 -#1499 := [trans #1494 #1497]: #1498 -#1502 := [monotonicity #1499]: #1501 -#1505 := [monotonicity #1502]: #1504 -#1508 := [monotonicity #1505]: #1507 -#1511 := [monotonicity #1508]: #1510 -#1472 := (iff #1199 #1471) -#1469 := (iff #1194 #1466) -#1458 := (and #183 #1236 #1258 #555 #557 #1455) -#1467 := (iff #1458 #1466) -#1468 := [rewrite]: #1467 -#1459 := (iff #1194 #1458) -#1456 := (iff #1188 #1455) -#1453 := (iff #1183 #1450) -#1445 := (and #555 #557 #650 #1442) -#1451 := (iff #1445 #1450) -#1452 := [rewrite]: #1451 -#1446 := (iff #1183 #1445) -#1443 := (iff #1177 #1442) -#1440 := (iff #1172 #1437) -#1431 := (and #382 #385 #555 #557 #668 #671 #673 #678 #1412) -#1438 := (iff #1431 #1437) -#1439 := [rewrite]: #1438 -#1432 := (iff #1172 #1431) -#1413 := (iff #1154 #1412) -#1410 := (iff #1148 #1409) -#1407 := (iff #1145 #1404) -#1390 := (or #1389 #1118) -#1401 := (or #1390 #1140) -#1405 := (iff #1401 #1404) -#1406 := [rewrite]: #1405 -#1402 := (iff #1145 #1401) -#1399 := (iff #1129 #1390) -#1391 := (not #1390) -#1394 := (not #1391) -#1397 := (iff #1394 #1390) -#1398 := [rewrite]: #1397 -#1395 := (iff #1129 #1394) -#1392 := (iff #1126 #1391) -#1393 := [rewrite]: #1392 -#1396 := [monotonicity #1393]: #1395 -#1400 := [trans #1396 #1398]: #1399 -#1403 := [monotonicity #1400]: #1402 -#1408 := [trans #1403 #1406]: #1407 -#1411 := [monotonicity #1408]: #1410 -#1387 := (iff #980 #1384) -#1379 := (and #970 #1376) -#1385 := (iff #1379 #1384) -#1386 := [rewrite]: #1385 -#1380 := (iff #980 #1379) -#1377 := (iff #741 #1376) -#1374 := (iff #738 #1371) -#1357 := (or #1216 #722) -#1368 := (or #1357 #735) -#1372 := (iff #1368 #1371) -#1373 := [rewrite]: #1372 -#1369 := (iff #738 #1368) -#1366 := (iff #730 #1357) -#1358 := (not #1357) -#1361 := (not #1358) -#1364 := (iff #1361 #1357) -#1365 := [rewrite]: #1364 -#1362 := (iff #730 #1361) -#1359 := (iff #727 #1358) -#1360 := [rewrite]: #1359 -#1363 := [monotonicity #1360]: #1362 -#1367 := [trans #1363 #1365]: #1366 -#1370 := [monotonicity #1367]: #1369 -#1375 := [trans #1370 #1373]: #1374 -#1378 := [quant-intro #1375]: #1377 -#1381 := [monotonicity #1378]: #1380 -#1388 := [trans #1381 #1386]: #1387 -#1414 := [monotonicity #1388 #1411]: #1413 -#1433 := [monotonicity #1414]: #1432 -#1441 := [trans #1433 #1439]: #1440 -#1429 := (iff #1162 #1426) -#1415 := (and #288 #293 #296 #555 #557 #668 #671 #673 #681 #1412) -#1427 := (iff #1415 #1426) -#1428 := [rewrite]: #1427 -#1416 := (iff #1162 #1415) -#1417 := [monotonicity #1414]: #1416 -#1430 := [trans #1417 #1428]: #1429 -#1444 := [monotonicity #1430 #1441]: #1443 -#1447 := [monotonicity #1444]: #1446 -#1454 := [trans #1447 #1452]: #1453 -#1355 := (iff #1101 #1352) -#1342 := (and #210 #213 #216 #555 #557 #584 #1339) -#1353 := (iff #1342 #1352) -#1354 := [rewrite]: #1353 -#1343 := (iff #1101 #1342) -#1340 := (iff #1095 #1339) -#1337 := (iff #1092 #1334) -#1326 := (not #1321) -#1329 := (and #1301 #1326) -#1335 := (iff #1329 #1334) -#1336 := [rewrite]: #1335 -#1330 := (iff #1092 #1329) -#1327 := (iff #1089 #1326) -#1324 := (iff #1086 #1321) -#1307 := (or #924 #1306) -#1318 := (or #1307 #1081) -#1322 := (iff #1318 #1321) -#1323 := [rewrite]: #1322 -#1319 := (iff #1086 #1318) -#1316 := (iff #1070 #1307) -#1308 := (not #1307) -#1311 := (not #1308) -#1314 := (iff #1311 #1307) -#1315 := [rewrite]: #1314 -#1312 := (iff #1070 #1311) -#1309 := (iff #1067 #1308) -#1310 := [rewrite]: #1309 -#1313 := [monotonicity #1310]: #1312 -#1317 := [trans #1313 #1315]: #1316 -#1320 := [monotonicity #1317]: #1319 -#1325 := [trans #1320 #1323]: #1324 -#1328 := [monotonicity #1325]: #1327 -#1304 := (iff #1064 #1301) -#1287 := (or #903 #1286) -#1298 := (or #1055 #1287) -#1302 := (iff #1298 #1301) -#1303 := [rewrite]: #1302 -#1299 := (iff #1064 #1298) -#1296 := (iff #1061 #1287) -#1288 := (not #1287) -#1291 := (not #1288) -#1294 := (iff #1291 #1287) -#1295 := [rewrite]: #1294 -#1292 := (iff #1061 #1291) -#1289 := (iff #1058 #1288) -#1290 := [rewrite]: #1289 -#1293 := [monotonicity #1290]: #1292 -#1297 := [trans #1293 #1295]: #1296 -#1300 := [monotonicity #1297]: #1299 -#1305 := [trans #1300 #1303]: #1304 -#1331 := [monotonicity #1305 #1328]: #1330 -#1338 := [trans #1331 #1336]: #1337 -#1284 := (iff #897 #1283) -#1281 := (iff #894 #1280) -#1278 := (iff #619 #1275) -#1261 := (or #1216 #606) -#1272 := (or #61 #1261) -#1276 := (iff #1272 #1275) -#1277 := [rewrite]: #1276 -#1273 := (iff #619 #1272) -#1270 := (iff #613 #1261) -#1262 := (not #1261) -#1265 := (not #1262) -#1268 := (iff #1265 #1261) -#1269 := [rewrite]: #1268 -#1266 := (iff #613 #1265) -#1263 := (iff #610 #1262) -#1264 := [rewrite]: #1263 -#1267 := [monotonicity #1264]: #1266 -#1271 := [trans #1267 #1269]: #1270 -#1274 := [monotonicity #1271]: #1273 -#1279 := [trans #1274 #1277]: #1278 -#1282 := [monotonicity #1279]: #1281 -#1285 := [quant-intro #1282]: #1284 -#1341 := [monotonicity #1285 #1338]: #1340 -#1344 := [monotonicity #1341]: #1343 -#1356 := [trans #1344 #1354]: #1355 -#1457 := [monotonicity #1356 #1454]: #1456 -#1259 := (iff #551 #1258) -#1256 := (iff #548 #1253) -#1239 := (or #1216 #532) -#1250 := (or #1239 #545) -#1254 := (iff #1250 #1253) -#1255 := [rewrite]: #1254 -#1251 := (iff #548 #1250) -#1248 := (iff #540 #1239) -#1240 := (not #1239) -#1243 := (not #1240) -#1246 := (iff #1243 #1239) -#1247 := [rewrite]: #1246 -#1244 := (iff #540 #1243) -#1241 := (iff #537 #1240) -#1242 := [rewrite]: #1241 -#1245 := [monotonicity #1242]: #1244 -#1249 := [trans #1245 #1247]: #1248 -#1252 := [monotonicity #1249]: #1251 -#1257 := [trans #1252 #1255]: #1256 -#1260 := [quant-intro #1257]: #1259 -#1237 := (iff #525 #1236) -#1234 := (iff #522 #1231) -#1217 := (or #1216 #508) -#1228 := (or #1217 #518) -#1232 := (iff #1228 #1231) -#1233 := [rewrite]: #1232 -#1229 := (iff #522 #1228) -#1226 := (iff #513 #1217) -#1218 := (not #1217) -#1221 := (not #1218) -#1224 := (iff #1221 #1217) -#1225 := [rewrite]: #1224 -#1222 := (iff #513 #1221) -#1219 := (iff #510 #1218) -#1220 := [rewrite]: #1219 -#1223 := [monotonicity #1220]: #1222 -#1227 := [trans #1223 #1225]: #1226 -#1230 := [monotonicity #1227]: #1229 -#1235 := [trans #1230 #1233]: #1234 -#1238 := [quant-intro #1235]: #1237 -#1460 := [monotonicity #1238 #1260 #1457]: #1459 -#1470 := [trans #1460 #1468]: #1469 -#1214 := (iff #1050 #1213) -#1211 := (iff #1045 #1208) -#914 := (or #873 #913) -#1205 := (or #872 #914) -#1209 := (iff #1205 #1208) -#1210 := [rewrite]: #1209 -#1206 := (iff #1045 #1205) -#1203 := (iff #1039 #914) -#882 := (not #914) -#935 := (not #882) -#1035 := (iff #935 #914) -#1202 := [rewrite]: #1035 -#968 := (iff #1039 #935) -#883 := (iff #1036 #882) -#934 := [rewrite]: #883 -#969 := [monotonicity #934]: #968 -#1204 := [trans #969 #1202]: #1203 -#1207 := [monotonicity #1204]: #1206 -#1212 := [trans #1207 #1210]: #1211 -#1215 := [monotonicity #1212]: #1214 -#1473 := [monotonicity #1215 #1470]: #1472 -#1513 := [trans #1473 #1511]: #1512 -#832 := (and #183 #551 #555 #557) -#778 := (and #382 #385 #555 #557 #668 #671 #673 #678) -#783 := (not #778) -#992 := (not #783) -#956 := (+ #955 #733) -#957 := (<= #956 0::int) -#958 := (+ ?x7!3 #674) -#959 := (>= #958 0::int) -#960 := (not #959) -#962 := (and #961 #960) -#963 := (not #962) -#964 := (or #963 #957) -#965 := (not #964) -#984 := (or #965 #980) -#995 := (and #984 #992) -#714 := (and #288 #293 #296 #555 #557 #668 #671 #673 #681) -#719 := (not #714) -#951 := (not #719) -#988 := (and #951 #984) -#999 := (or #988 #995) -#659 := (and #555 #557 #650) -#664 := (not #659) -#948 := (not #664) -#1003 := (and #948 #999) -#920 := (+ #919 #630) -#921 := (<= #920 0::int) -#927 := (and #926 #925) -#928 := (not #927) -#929 := (or #928 #921) -#930 := (not #929) -#906 := (and #905 #904) -#907 := (not #906) -#909 := (= #908 uf_8) -#910 := (or #909 #907) -#936 := (and #910 #930) -#940 := (or #897 #936) -#596 := (and #210 #213 #216 #555 #557 #584) -#601 := (not #596) -#891 := (not #601) -#944 := (and #891 #940) -#1007 := (or #944 #1003) -#1026 := (and #525 #1007 #832) -#876 := (and #875 #874) -#877 := (not #876) -#878 := (or #877 #872) -#879 := (not #878) -#1030 := (or #879 #1026) -#1200 := (iff #1030 #1199) -#1197 := (iff #1026 #1194) -#1191 := (and #525 #1188 #832) -#1195 := (iff #1191 #1194) -#1196 := [rewrite]: #1195 -#1192 := (iff #1026 #1191) -#1189 := (iff #1007 #1188) -#1186 := (iff #1003 #1183) -#1180 := (and #659 #1177) -#1184 := (iff #1180 #1183) -#1185 := [rewrite]: #1184 -#1181 := (iff #1003 #1180) -#1178 := (iff #999 #1177) -#1175 := (iff #995 #1172) -#1169 := (and #1154 #778) -#1173 := (iff #1169 #1172) -#1174 := [rewrite]: #1173 -#1170 := (iff #995 #1169) -#1167 := (iff #992 #778) -#1168 := [rewrite]: #1167 -#1157 := (iff #984 #1154) -#1151 := (or #1148 #980) -#1155 := (iff #1151 #1154) -#1156 := [rewrite]: #1155 -#1152 := (iff #984 #1151) -#1149 := (iff #965 #1148) -#1146 := (iff #964 #1145) -#1143 := (iff #957 #1140) -#1132 := (+ #733 #955) -#1135 := (<= #1132 0::int) -#1141 := (iff #1135 #1140) -#1142 := [rewrite]: #1141 -#1136 := (iff #957 #1135) -#1133 := (= #956 #1132) -#1134 := [rewrite]: #1133 -#1137 := [monotonicity #1134]: #1136 -#1144 := [trans #1137 #1142]: #1143 -#1130 := (iff #963 #1129) -#1127 := (iff #962 #1126) -#1124 := (iff #960 #1123) -#1121 := (iff #959 #1118) -#1110 := (+ #674 ?x7!3) -#1113 := (>= #1110 0::int) -#1119 := (iff #1113 #1118) -#1120 := [rewrite]: #1119 -#1114 := (iff #959 #1113) -#1111 := (= #958 #1110) -#1112 := [rewrite]: #1111 -#1115 := [monotonicity #1112]: #1114 -#1122 := [trans #1115 #1120]: #1121 -#1125 := [monotonicity #1122]: #1124 -#1128 := [monotonicity #1125]: #1127 -#1131 := [monotonicity #1128]: #1130 -#1147 := [monotonicity #1131 #1144]: #1146 -#1150 := [monotonicity #1147]: #1149 -#1153 := [monotonicity #1150]: #1152 -#1158 := [trans #1153 #1156]: #1157 -#1171 := [monotonicity #1158 #1168]: #1170 -#1176 := [trans #1171 #1174]: #1175 -#1165 := (iff #988 #1162) -#1159 := (and #714 #1154) -#1163 := (iff #1159 #1162) -#1164 := [rewrite]: #1163 -#1160 := (iff #988 #1159) -#1108 := (iff #951 #714) -#1109 := [rewrite]: #1108 -#1161 := [monotonicity #1109 #1158]: #1160 -#1166 := [trans #1161 #1164]: #1165 -#1179 := [monotonicity #1166 #1176]: #1178 -#1106 := (iff #948 #659) -#1107 := [rewrite]: #1106 -#1182 := [monotonicity #1107 #1179]: #1181 -#1187 := [trans #1182 #1185]: #1186 -#1104 := (iff #944 #1101) -#1098 := (and #596 #1095) -#1102 := (iff #1098 #1101) -#1103 := [rewrite]: #1102 -#1099 := (iff #944 #1098) -#1096 := (iff #940 #1095) -#1093 := (iff #936 #1092) -#1090 := (iff #930 #1089) -#1087 := (iff #929 #1086) -#1084 := (iff #921 #1081) -#1073 := (+ #630 #919) -#1076 := (<= #1073 0::int) -#1082 := (iff #1076 #1081) -#1083 := [rewrite]: #1082 -#1077 := (iff #921 #1076) -#1074 := (= #920 #1073) -#1075 := [rewrite]: #1074 -#1078 := [monotonicity #1075]: #1077 -#1085 := [trans #1078 #1083]: #1084 -#1071 := (iff #928 #1070) -#1068 := (iff #927 #1067) -#1069 := [rewrite]: #1068 -#1072 := [monotonicity #1069]: #1071 -#1088 := [monotonicity #1072 #1085]: #1087 -#1091 := [monotonicity #1088]: #1090 -#1065 := (iff #910 #1064) -#1062 := (iff #907 #1061) -#1059 := (iff #906 #1058) -#1060 := [rewrite]: #1059 -#1063 := [monotonicity #1060]: #1062 -#1056 := (iff #909 #1055) -#1057 := [rewrite]: #1056 -#1066 := [monotonicity #1057 #1063]: #1065 -#1094 := [monotonicity #1066 #1091]: #1093 -#1097 := [monotonicity #1094]: #1096 -#1053 := (iff #891 #596) -#1054 := [rewrite]: #1053 -#1100 := [monotonicity #1054 #1097]: #1099 -#1105 := [trans #1100 #1103]: #1104 -#1190 := [monotonicity #1105 #1187]: #1189 -#1193 := [monotonicity #1190]: #1192 -#1198 := [trans #1193 #1196]: #1197 -#1051 := (iff #879 #1050) -#1048 := (iff #878 #1045) -#1042 := (or #1039 #872) -#1046 := (iff #1042 #1045) -#1047 := [rewrite]: #1046 -#1043 := (iff #878 #1042) -#1040 := (iff #877 #1039) -#1037 := (iff #876 #1036) -#1038 := [rewrite]: #1037 -#1041 := [monotonicity #1038]: #1040 -#1044 := [monotonicity #1041]: #1043 -#1049 := [trans #1044 #1047]: #1048 -#1052 := [monotonicity #1049]: #1051 -#1201 := [monotonicity #1052 #1198]: #1200 -#837 := (not #832) -#744 := (not #741) -#750 := (or #358 #744) -#755 := (and #741 #750) -#786 := (or #755 #783) -#758 := (or #719 #755) -#789 := (and #758 #786) -#792 := (or #664 #789) -#631 := (+ #23 #630) -#632 := (<= #631 0::int) -#635 := (or #613 #632) -#638 := (forall (vars (?x6 int)) #635) -#624 := (exists (vars (?x4 int)) #619) -#627 := (not #624) -#641 := (or #627 #638) -#644 := (and #624 #641) -#647 := (or #601 #644) -#795 := (and #647 #792) -#528 := (not #525) -#858 := (or #528 #795 #837) -#863 := (and #525 #858) -#866 := (not #863) -#1031 := (~ #866 #1030) -#1027 := (not #858) -#1028 := (~ #1027 #1026) -#1023 := (not #837) -#1024 := (~ #1023 #832) -#1021 := (~ #832 #832) -#1019 := (~ #557 #557) -#1020 := [refl]: #1019 -#1017 := (~ #555 #555) -#1018 := [refl]: #1017 -#1015 := (~ #551 #551) -#1013 := (~ #548 #548) -#1014 := [refl]: #1013 -#1016 := [nnf-pos #1014]: #1015 -#1011 := (~ #183 #183) -#1012 := [refl]: #1011 -#1022 := [monotonicity #1012 #1016 #1018 #1020]: #1021 -#1025 := [nnf-neg #1022]: #1024 -#1008 := (not #795) -#1009 := (~ #1008 #1007) -#1004 := (not #792) -#1005 := (~ #1004 #1003) -#1000 := (not #789) -#1001 := (~ #1000 #999) -#996 := (not #786) -#997 := (~ #996 #995) -#993 := (~ #992 #992) -#994 := [refl]: #993 -#985 := (not #755) -#986 := (~ #985 #984) -#981 := (not #750) -#982 := (~ #981 #980) -#977 := (not #744) -#978 := (~ #977 #741) -#975 := (~ #741 #741) -#973 := (~ #738 #738) -#974 := [refl]: #973 -#976 := [nnf-pos #974]: #975 -#979 := [nnf-neg #976]: #978 -#971 := (~ #970 #970) -#972 := [refl]: #971 -#983 := [nnf-neg #972 #979]: #982 -#966 := (~ #744 #965) -#967 := [sk]: #966 -#987 := [nnf-neg #967 #983]: #986 -#998 := [nnf-neg #987 #994]: #997 -#989 := (not #758) -#990 := (~ #989 #988) -#952 := (~ #951 #951) -#953 := [refl]: #952 -#991 := [nnf-neg #953 #987]: #990 -#1002 := [nnf-neg #991 #998]: #1001 -#949 := (~ #948 #948) -#950 := [refl]: #949 -#1006 := [nnf-neg #950 #1002]: #1005 -#945 := (not #647) -#946 := (~ #945 #944) -#941 := (not #644) -#942 := (~ #941 #940) -#937 := (not #641) -#938 := (~ #937 #936) -#931 := (not #638) -#932 := (~ #931 #930) -#933 := [sk]: #932 -#915 := (not #627) -#916 := (~ #915 #910) -#911 := (~ #624 #910) -#912 := [sk]: #911 -#917 := [nnf-neg #912]: #916 -#939 := [nnf-neg #917 #933]: #938 -#898 := (~ #627 #897) -#895 := (~ #894 #894) -#896 := [refl]: #895 -#899 := [nnf-neg #896]: #898 -#943 := [nnf-neg #899 #939]: #942 -#892 := (~ #891 #891) -#893 := [refl]: #892 -#947 := [nnf-neg #893 #943]: #946 -#1010 := [nnf-neg #947 #1006]: #1009 -#888 := (not #528) -#889 := (~ #888 #525) -#886 := (~ #525 #525) -#884 := (~ #522 #522) -#885 := [refl]: #884 -#887 := [nnf-pos #885]: #886 -#890 := [nnf-neg #887]: #889 -#1029 := [nnf-neg #890 #1010 #1025]: #1028 -#880 := (~ #528 #879) -#881 := [sk]: #880 -#1032 := [nnf-neg #881 #1029]: #1031 -#9 := (= uf_2 #8) -#575 := (and #9 #183 #551 #555 #557) -#580 := (not #575) -#798 := (or #580 #795) -#801 := (and #9 #798) -#804 := (or #528 #801) -#807 := (and #525 #804) -#822 := (not #807) -#867 := (iff #822 #866) -#864 := (iff #807 #863) -#861 := (iff #804 #858) -#843 := (or #795 #837) -#855 := (or #528 #843) -#859 := (iff #855 #858) -#860 := [rewrite]: #859 -#856 := (iff #804 #855) -#853 := (iff #801 #843) +#66 := uf_10 +#283 := (= uf_10 uf_12) +#361 := (not #283) +#280 := (= uf_5 uf_11) +#370 := (not #280) +#275 := (= #64 uf_10) +#388 := (not #275) +#853 := (or #388 #370 #361 #810 #671 #757 #794 #801 #807 #814) +#882 := (and #853 #877) +#718 := (+ uf_1 #717) +#719 := (<= #718 0::int) +#903 := (or #671 #719 #882) +#722 := (not #719) +decl uf_8 :: int +#41 := uf_8 +#700 := (* -1::int uf_8) +#701 := (+ #20 #700) +#702 := (<= #701 0::int) +#674 := (* -1::int #16) +#675 := (+ uf_1 #674) +#676 := (<= #675 0::int) +#677 := (not #676) +#680 := (and #636 #677) +#683 := (not #680) +#705 := (or #683 #702) +#708 := (forall (vars (?x6 int)) #705) +#47 := (= #20 uf_8) +#689 := (or #47 #683) +#694 := (exists (vars (?x4 int)) #689) +#697 := (not #694) +#711 := (or #697 #708) +#714 := (and #694 #711) +decl uf_9 :: int +#43 := uf_9 +#180 := (= uf_5 uf_9) +#218 := (not #180) +#177 := (= uf_6 uf_8) +#227 := (not #177) +decl uf_7 :: int +#39 := uf_7 +#174 := (= uf_4 uf_7) +#236 := (not #174) +#743 := (or #236 #227 #218 #671 #714 #722) +#908 := (and #743 #903) +#36 := (uf_3 uf_4) +#171 := (= uf_6 #36) +#523 := (not #171) +#556 := (not #9) +#951 := (or #556 #523 #671 #908 #933) +#956 := (and #9 #951) +#650 := (* -1::int #20) +#651 := (+ uf_2 #650) +#649 := (>= #651 0::int) +#639 := (>= #16 1::int) +#637 := (not #639) +#641 := (and #636 #637) +#644 := (not #641) +#653 := (or #644 #649) +#656 := (forall (vars (?x1 int)) #653) +#659 := (not #656) +#959 := (or #659 #956) +#962 := (and #656 #959) +#985 := (or #556 #962 #965) +#990 := (not #985) #1 := true -#848 := (and true #843) -#851 := (iff #848 #843) -#852 := [rewrite]: #851 -#849 := (iff #801 #848) -#846 := (iff #798 #843) -#840 := (or #837 #795) -#844 := (iff #840 #843) -#845 := [rewrite]: #844 -#841 := (iff #798 #840) -#838 := (iff #580 #837) -#835 := (iff #575 #832) -#829 := (and true #183 #551 #555 #557) -#833 := (iff #829 #832) -#834 := [rewrite]: #833 -#830 := (iff #575 #829) -#826 := (iff #9 true) -#479 := (<= uf_1 0::int) -#480 := (not #479) -#495 := (and #9 #480) -#500 := (not #495) -#810 := (or #500 #807) -#813 := (not #810) -#107 := (= #106 uf_12) -#103 := (<= #23 uf_12) -#101 := (< #19 uf_13) -#20 := (<= 0::int #19) -#102 := (and #20 #101) -#104 := (implies #102 #103) -#105 := (forall (vars (?x7 int)) #104) -#108 := (implies #105 #107) -#109 := (and #105 #108) -#89 := (<= 2::int uf_13) -#83 := (<= 0::int uf_11) -#90 := (and #83 #89) -#86 := (+ uf_5 1::int) -#87 := (= uf_13 #86) -#91 := (and #87 #90) -#31 := (<= 1::int uf_5) -#84 := (and #83 #31) -#92 := (and #84 #91) -#93 := (and true #92) -#114 := (and #113 #93) -#115 := (and #112 #114) -#29 := (<= 0::int uf_4) -#32 := (and #29 #31) -#116 := (and #32 #115) -#111 := (<= #74 uf_6) -#117 := (and #111 #116) -#118 := (and #32 #117) -#119 := (and true #118) -#120 := (implies #119 #109) -#94 := (and #82 #93) -#95 := (and #80 #94) -#78 := (and #31 #31) -#96 := (and #78 #95) -#97 := (and #77 #96) -#75 := (< uf_6 #74) -#98 := (and #75 #97) -#99 := (and #32 #98) -#100 := (and true #99) -#110 := (implies #100 #109) -#121 := (and #110 #120) -#70 := (< uf_5 uf_1) -#71 := (and #70 #32) -#72 := (and #32 #71) -#73 := (and true #72) -#122 := (implies #73 #121) -#64 := (<= #23 uf_8) -#59 := (< #19 uf_1) -#60 := (and #20 #59) -#65 := (implies #60 #64) -#66 := (forall (vars (?x6 int)) #65) -#62 := (implies #60 #61) -#63 := (exists (vars (?x4 int)) #62) -#67 := (implies #63 #66) -#68 := (and #63 #67) -#52 := (= uf_9 uf_5) -#53 := (and #50 #52) -#54 := (and #48 #53) -#55 := (and #32 #54) -#46 := (<= uf_1 uf_5) -#56 := (and #46 #55) -#57 := (and #32 #56) -#58 := (and true #57) -#69 := (implies #58 #68) -#123 := (and #69 #122) -#40 := (= #39 uf_6) -#41 := (and #40 #32) -#36 := (<= #23 uf_6) -#33 := (< #19 uf_5) -#34 := (and #20 #33) -#37 := (implies #34 #36) -#38 := (forall (vars (?x3 int)) #37) -#42 := (and #38 #41) -#43 := (and #32 #42) -#44 := (and true #43) -#27 := (= #8 uf_2) -#45 := (and #27 #44) -#124 := (implies #45 #123) -#125 := (and #27 #124) -#24 := (<= #23 uf_2) -#21 := (< #19 1::int) -#22 := (and #20 #21) -#25 := (implies #22 #24) -#26 := (forall (vars (?x1 int)) #25) -#126 := (implies #26 #125) -#127 := (and #26 #126) +#87 := (= #86 uf_12) +#88 := (and #87 true) +#83 := (<= #20 uf_12) +#81 := (< #16 uf_13) +#17 := (<= 0::int #16) +#82 := (and #17 #81) +#84 := (implies #82 #83) +#85 := (forall (vars (?x7 int)) #84) +#89 := (implies #85 #88) +#90 := (and #85 #89) +#79 := (<= 2::int uf_13) +#73 := (<= 0::int uf_11) +#80 := (and #73 #79) +#91 := (implies #80 #90) +#76 := (+ uf_5 1::int) +#77 := (= uf_13 #76) +#92 := (implies #77 #91) +#28 := (<= 1::int uf_5) +#74 := (and #73 #28) +#93 := (implies #74 #92) +#94 := (implies true #93) +#104 := (= uf_12 uf_6) +#105 := (implies #104 #94) +#103 := (= uf_11 uf_4) +#106 := (implies #103 #105) +#26 := (<= 0::int uf_4) +#29 := (and #26 #28) +#107 := (implies #29 #106) +#102 := (<= #64 uf_6) +#108 := (implies #102 #107) +#109 := (implies #29 #108) +#110 := (implies true #109) +#72 := (= uf_12 uf_10) +#95 := (implies #72 #94) +#70 := (= uf_11 uf_5) +#96 := (implies #70 #95) +#68 := (and #28 #28) +#97 := (implies #68 #96) +#67 := (= uf_10 #64) +#98 := (implies #67 #97) +#65 := (< uf_6 #64) +#99 := (implies #65 #98) +#100 := (implies #29 #99) +#101 := (implies true #100) +#111 := (and #101 #110) +#112 := (implies #29 #111) +#63 := (< uf_5 uf_1) +#113 := (implies #63 #112) +#114 := (implies #29 #113) +#115 := (implies true #114) +#50 := (<= #20 uf_8) +#45 := (< #16 uf_1) +#46 := (and #17 #45) +#51 := (implies #46 #50) +#52 := (forall (vars (?x6 int)) #51) +#53 := (and #52 true) +#48 := (implies #46 #47) +#49 := (exists (vars (?x4 int)) #48) +#54 := (implies #49 #53) +#55 := (and #49 #54) +#44 := (= uf_9 uf_5) +#56 := (implies #44 #55) +#42 := (= uf_8 uf_6) +#57 := (implies #42 #56) +#40 := (= uf_7 uf_4) +#58 := (implies #40 #57) +#59 := (implies #29 #58) +#38 := (<= uf_1 uf_5) +#60 := (implies #38 #59) +#61 := (implies #29 #60) +#62 := (implies true #61) +#116 := (and #62 #115) +#117 := (implies #29 #116) +#37 := (= #36 uf_6) +#118 := (implies #37 #117) +#33 := (<= #20 uf_6) +#30 := (< #16 uf_5) +#31 := (and #17 #30) +#34 := (implies #31 #33) +#35 := (forall (vars (?x3 int)) #34) +#119 := (implies #35 #118) +#120 := (implies #29 #119) +#121 := (implies true #120) +#24 := (= #8 uf_2) +#122 := (implies #24 #121) +#123 := (and #24 #122) +#21 := (<= #20 uf_2) +#18 := (< #16 1::int) +#19 := (and #17 #18) +#22 := (implies #19 #21) +#23 := (forall (vars (?x1 int)) #22) +#124 := (implies #23 #123) +#125 := (and #23 #124) #12 := (<= 1::int 1::int) #13 := (and #12 #12) #10 := (<= 0::int 0::int) #14 := (and #10 #13) #15 := (and #10 #14) -#16 := (and #9 #15) +#126 := (implies #15 #125) +#127 := (implies #9 #126) #6 := (< 0::int uf_1) -#17 := (and #6 #16) -#18 := (and true #17) -#128 := (implies #18 #127) -#129 := (not #128) -#816 := (iff #129 #813) -#302 := (+ 1::int uf_5) -#305 := (= uf_13 #302) -#311 := (and #90 #305) -#299 := (and #31 #83) -#316 := (and #299 #311) -#391 := (and #316 #385) -#396 := (and #382 #391) -#399 := (and #32 #396) -#402 := (and #111 #399) -#405 := (and #32 #402) -#418 := (not #405) -#351 := (not #102) -#352 := (or #351 #103) -#355 := (forall (vars (?x7 int)) #352) -#364 := (not #355) -#365 := (or #364 #358) -#370 := (and #355 #365) -#419 := (or #370 #418) -#326 := (and #296 #316) -#329 := (and #293 #326) -#332 := (and #31 #329) -#335 := (and #288 #332) -#338 := (and #75 #335) -#341 := (and #32 #338) -#376 := (not #341) -#377 := (or #376 #370) -#424 := (and #377 #419) -#275 := (and #32 #70) -#278 := (and #32 #275) -#430 := (not #278) -#431 := (or #430 #424) -#241 := (not #60) -#248 := (or #241 #64) -#251 := (forall (vars (?x6 int)) #248) -#242 := (or #241 #61) -#245 := (exists (vars (?x4 int)) #242) -#257 := (not #245) -#258 := (or #257 #251) -#263 := (and #245 #258) -#219 := (and #213 #216) -#222 := (and #210 #219) -#225 := (and #32 #222) -#228 := (and #46 #225) -#231 := (and #32 #228) -#269 := (not #231) -#270 := (or #269 #263) -#436 := (and #270 #431) -#189 := (and #32 #183) -#176 := (not #34) -#177 := (or #176 #36) -#180 := (forall (vars (?x3 int)) #177) -#194 := (and #180 #189) -#197 := (and #32 #194) -#207 := (and #9 #197) -#442 := (not #207) -#443 := (or #442 #436) -#448 := (and #9 #443) -#167 := (not #22) -#168 := (or #167 #24) -#171 := (forall (vars (?x1 int)) #168) -#454 := (not #171) -#455 := (or #454 #448) -#460 := (and #171 #455) -#148 := (and #10 #12) -#151 := (and #10 #148) -#154 := (and #9 #151) -#157 := (and #6 #154) -#466 := (not #157) -#467 := (or #466 #460) -#472 := (not #467) -#814 := (iff #472 #813) -#811 := (iff #467 #810) -#808 := (iff #460 #807) -#805 := (iff #455 #804) -#802 := (iff #448 #801) -#799 := (iff #443 #798) -#796 := (iff #436 #795) -#793 := (iff #431 #792) -#790 := (iff #424 #789) -#787 := (iff #419 #786) -#784 := (iff #418 #783) -#781 := (iff #405 #778) -#684 := (and #668 #671) -#687 := (and #684 #673) -#690 := (and #557 #668) -#693 := (and #690 #687) -#763 := (and #693 #385) -#766 := (and #382 #763) -#560 := (and #555 #557) -#769 := (and #560 #766) -#772 := (and #678 #769) -#775 := (and #560 #772) -#779 := (iff #775 #778) -#780 := [rewrite]: #779 -#776 := (iff #405 #775) -#773 := (iff #402 #772) -#770 := (iff #399 #769) -#767 := (iff #396 #766) -#764 := (iff #391 #763) -#694 := (iff #316 #693) -#688 := (iff #311 #687) -#676 := (iff #305 #673) -#677 := [rewrite]: #676 -#685 := (iff #90 #684) -#670 := (iff #89 #671) -#672 := [rewrite]: #670 -#667 := (iff #83 #668) -#669 := [rewrite]: #667 -#686 := [monotonicity #669 #672]: #685 -#689 := [monotonicity #686 #677]: #688 -#691 := (iff #299 #690) -#558 := (iff #31 #557) -#559 := [rewrite]: #558 -#692 := [monotonicity #559 #669]: #691 -#695 := [monotonicity #692 #689]: #694 -#765 := [monotonicity #695]: #764 -#768 := [monotonicity #765]: #767 -#561 := (iff #32 #560) -#554 := (iff #29 #555) -#556 := [rewrite]: #554 -#562 := [monotonicity #556 #559]: #561 -#771 := [monotonicity #562 #768]: #770 -#761 := (iff #111 #678) -#762 := [rewrite]: #761 -#774 := [monotonicity #762 #771]: #773 -#777 := [monotonicity #562 #774]: #776 -#782 := [trans #777 #780]: #781 +#128 := (implies #6 #127) +#129 := (implies true #128) +#130 := (not #129) +#993 := (iff #130 #990) +#295 := (not #82) +#296 := (or #295 #83) +#299 := (forall (vars (?x7 int)) #296) +#315 := (not #299) +#316 := (or #315 #302) +#321 := (and #299 #316) +#327 := (not #80) +#328 := (or #327 #321) +#289 := (+ 1::int uf_5) +#292 := (= uf_13 #289) +#336 := (not #292) +#337 := (or #336 #328) +#286 := (and #28 #73) +#345 := (not #286) +#346 := (or #345 #337) +#428 := (or #346 #427) +#437 := (or #436 #428) +#245 := (not #29) +#445 := (or #245 #437) +#453 := (not #102) +#454 := (or #453 #445) +#462 := (or #245 #454) +#362 := (or #361 #346) +#371 := (or #370 #362) +#379 := (not #28) +#380 := (or #379 #371) +#389 := (or #388 #380) +#397 := (not #65) +#398 := (or #397 #389) +#406 := (or #245 #398) +#474 := (and #406 #462) +#480 := (or #245 #474) +#488 := (not #63) +#489 := (or #488 #480) +#497 := (or #245 #489) +#183 := (not #46) +#190 := (or #183 #50) +#193 := (forall (vars (?x6 int)) #190) +#184 := (or #183 #47) +#187 := (exists (vars (?x4 int)) #184) +#206 := (not #187) +#207 := (or #206 #193) +#212 := (and #187 #207) +#219 := (or #218 #212) +#228 := (or #227 #219) +#237 := (or #236 #228) +#246 := (or #245 #237) +#254 := (not #38) +#255 := (or #254 #246) +#263 := (or #245 #255) +#509 := (and #263 #497) +#515 := (or #245 #509) +#524 := (or #523 #515) +#164 := (not #31) +#165 := (or #164 #33) +#168 := (forall (vars (?x3 int)) #165) +#532 := (not #168) +#533 := (or #532 #524) +#541 := (or #245 #533) +#557 := (or #556 #541) +#562 := (and #9 #557) +#155 := (not #19) +#156 := (or #155 #21) +#159 := (forall (vars (?x1 int)) #156) +#568 := (not #159) +#569 := (or #568 #562) +#574 := (and #159 #569) +#149 := (and #10 #12) +#152 := (and #10 #149) +#580 := (not #152) +#581 := (or #580 #574) +#589 := (or #556 #581) +#597 := (not #6) +#598 := (or #597 #589) +#610 := (not #598) +#991 := (iff #610 #990) +#988 := (iff #598 #985) +#976 := (or false #962) +#979 := (or #556 #976) +#982 := (or #965 #979) +#986 := (iff #982 #985) +#987 := [rewrite]: #986 +#983 := (iff #598 #982) +#980 := (iff #589 #979) +#977 := (iff #581 #976) +#963 := (iff #574 #962) +#960 := (iff #569 #959) +#957 := (iff #562 #956) +#954 := (iff #557 #951) +#936 := (or #671 #908) +#939 := (or #523 #936) +#942 := (or #933 #939) +#945 := (or #671 #942) +#948 := (or #556 #945) +#952 := (iff #948 #951) +#953 := [rewrite]: #952 +#949 := (iff #557 #948) +#946 := (iff #541 #945) +#943 := (iff #533 #942) +#940 := (iff #524 #939) +#937 := (iff #515 #936) +#909 := (iff #509 #908) +#906 := (iff #497 #903) +#894 := (or #671 #882) +#897 := (or #719 #894) +#900 := (or #671 #897) +#904 := (iff #900 #903) +#905 := [rewrite]: #904 +#901 := (iff #497 #900) +#898 := (iff #489 #897) +#895 := (iff #480 #894) +#883 := (iff #474 #882) +#880 := (iff #462 #877) +#826 := (or #757 #794) +#829 := (or #801 #826) +#832 := (or #807 #829) +#862 := (or #832 #427) +#865 := (or #436 #862) +#868 := (or #671 #865) +#871 := (or #813 #868) +#874 := (or #671 #871) +#878 := (iff #874 #877) +#879 := [rewrite]: #878 +#875 := (iff #462 #874) +#872 := (iff #454 #871) +#869 := (iff #445 #868) +#866 := (iff #437 #865) +#863 := (iff #428 #862) +#833 := (iff #346 #832) +#830 := (iff #337 #829) +#827 := (iff #328 #826) +#795 := (iff #321 #794) +#792 := (iff #316 #789) +#786 := (or #783 #302) +#790 := (iff #786 #789) +#791 := [rewrite]: #790 +#787 := (iff #316 #786) +#784 := (iff #315 #783) +#781 := (iff #299 #780) +#778 := (iff #296 #777) +#775 := (iff #83 #774) +#776 := [rewrite]: #775 +#770 := (iff #295 #769) +#767 := (iff #82 #766) +#764 := (iff #81 #763) +#765 := [rewrite]: #764 +#634 := (iff #17 #636) +#635 := [rewrite]: #634 +#768 := [monotonicity #635 #765]: #767 +#771 := [monotonicity #768]: #770 +#779 := [monotonicity #771 #776]: #778 +#782 := [quant-intro #779]: #781 #785 := [monotonicity #782]: #784 -#756 := (iff #370 #755) -#753 := (iff #365 #750) -#747 := (or #744 #358) -#751 := (iff #747 #750) -#752 := [rewrite]: #751 -#748 := (iff #365 #747) -#745 := (iff #364 #744) -#742 := (iff #355 #741) -#739 := (iff #352 #738) -#736 := (iff #103 #735) -#737 := [rewrite]: #736 -#731 := (iff #351 #730) -#728 := (iff #102 #727) -#725 := (iff #101 #724) -#726 := [rewrite]: #725 -#503 := (iff #20 #505) -#504 := [rewrite]: #503 -#729 := [monotonicity #504 #726]: #728 -#732 := [monotonicity #729]: #731 -#740 := [monotonicity #732 #737]: #739 -#743 := [quant-intro #740]: #742 -#746 := [monotonicity #743]: #745 -#749 := [monotonicity #746]: #748 -#754 := [trans #749 #752]: #753 -#757 := [monotonicity #743 #754]: #756 -#788 := [monotonicity #757 #785]: #787 -#759 := (iff #377 #758) -#720 := (iff #376 #719) -#717 := (iff #341 #714) -#696 := (and #296 #693) -#699 := (and #293 #696) -#702 := (and #557 #699) -#705 := (and #288 #702) -#708 := (and #681 #705) -#711 := (and #560 #708) -#715 := (iff #711 #714) -#716 := [rewrite]: #715 -#712 := (iff #341 #711) -#709 := (iff #338 #708) -#706 := (iff #335 #705) -#703 := (iff #332 #702) -#700 := (iff #329 #699) -#697 := (iff #326 #696) -#698 := [monotonicity #695]: #697 -#701 := [monotonicity #698]: #700 -#704 := [monotonicity #559 #701]: #703 -#707 := [monotonicity #704]: #706 -#682 := (iff #75 #681) -#683 := [rewrite]: #682 -#710 := [monotonicity #683 #707]: #709 -#713 := [monotonicity #562 #710]: #712 -#718 := [trans #713 #716]: #717 -#721 := [monotonicity #718]: #720 -#760 := [monotonicity #721 #757]: #759 -#791 := [monotonicity #760 #788]: #790 -#665 := (iff #430 #664) -#662 := (iff #278 #659) -#653 := (and #560 #650) -#656 := (and #560 #653) -#660 := (iff #656 #659) -#661 := [rewrite]: #660 -#657 := (iff #278 #656) -#654 := (iff #275 #653) -#651 := (iff #70 #650) -#652 := [rewrite]: #651 -#655 := [monotonicity #562 #652]: #654 -#658 := [monotonicity #562 #655]: #657 -#663 := [trans #658 #661]: #662 -#666 := [monotonicity #663]: #665 -#794 := [monotonicity #666 #791]: #793 -#648 := (iff #270 #647) -#645 := (iff #263 #644) -#642 := (iff #258 #641) -#639 := (iff #251 #638) -#636 := (iff #248 #635) -#633 := (iff #64 #632) -#634 := [rewrite]: #633 -#614 := (iff #241 #613) -#611 := (iff #60 #610) -#608 := (iff #59 #607) -#609 := [rewrite]: #608 -#612 := [monotonicity #504 #609]: #611 -#615 := [monotonicity #612]: #614 -#637 := [monotonicity #615 #634]: #636 -#640 := [quant-intro #637]: #639 -#628 := (iff #257 #627) -#625 := (iff #245 #624) -#622 := (iff #242 #619) -#616 := (or #613 #61) -#620 := (iff #616 #619) -#621 := [rewrite]: #620 -#617 := (iff #242 #616) -#618 := [monotonicity #615]: #617 -#623 := [trans #618 #621]: #622 -#626 := [quant-intro #623]: #625 +#788 := [monotonicity #785]: #787 +#793 := [trans #788 #791]: #792 +#796 := [monotonicity #782 #793]: #795 +#758 := (iff #327 #757) +#755 := (iff #80 #754) +#751 := (iff #79 #752) +#753 := [rewrite]: #751 +#748 := (iff #73 #749) +#750 := [rewrite]: #748 +#756 := [monotonicity #750 #753]: #755 +#759 := [monotonicity #756]: #758 +#828 := [monotonicity #759 #796]: #827 +#802 := (iff #336 #801) +#799 := (iff #292 #797) +#800 := [rewrite]: #799 +#803 := [monotonicity #800]: #802 +#831 := [monotonicity #803 #828]: #830 +#808 := (iff #345 #807) +#805 := (iff #286 #804) +#665 := (iff #28 #666) +#667 := [rewrite]: #665 +#806 := [monotonicity #667 #750]: #805 +#809 := [monotonicity #806]: #808 +#834 := [monotonicity #809 #831]: #833 +#864 := [monotonicity #834]: #863 +#867 := [monotonicity #864]: #866 +#672 := (iff #245 #671) +#669 := (iff #29 #668) +#662 := (iff #26 #663) +#664 := [rewrite]: #662 +#670 := [monotonicity #664 #667]: #669 +#673 := [monotonicity #670]: #672 +#870 := [monotonicity #673 #867]: #869 +#860 := (iff #453 #813) +#858 := (iff #102 #814) +#859 := [rewrite]: #858 +#861 := [monotonicity #859]: #860 +#873 := [monotonicity #861 #870]: #872 +#876 := [monotonicity #673 #873]: #875 +#881 := [trans #876 #879]: #880 +#856 := (iff #406 #853) +#835 := (or #361 #832) +#838 := (or #370 #835) +#841 := (or #810 #838) +#844 := (or #388 #841) +#847 := (or #814 #844) +#850 := (or #671 #847) +#854 := (iff #850 #853) +#855 := [rewrite]: #854 +#851 := (iff #406 #850) +#848 := (iff #398 #847) +#845 := (iff #389 #844) +#842 := (iff #380 #841) +#839 := (iff #371 #838) +#836 := (iff #362 #835) +#837 := [monotonicity #834]: #836 +#840 := [monotonicity #837]: #839 +#811 := (iff #379 #810) +#812 := [monotonicity #667]: #811 +#843 := [monotonicity #812 #840]: #842 +#846 := [monotonicity #843]: #845 +#824 := (iff #397 #814) +#819 := (not #813) +#822 := (iff #819 #814) +#823 := [rewrite]: #822 +#820 := (iff #397 #819) +#817 := (iff #65 #813) +#818 := [rewrite]: #817 +#821 := [monotonicity #818]: #820 +#825 := [trans #821 #823]: #824 +#849 := [monotonicity #825 #846]: #848 +#852 := [monotonicity #673 #849]: #851 +#857 := [trans #852 #855]: #856 +#884 := [monotonicity #857 #881]: #883 +#896 := [monotonicity #673 #884]: #895 +#892 := (iff #488 #719) +#887 := (not #722) +#890 := (iff #887 #719) +#891 := [rewrite]: #890 +#888 := (iff #488 #887) +#885 := (iff #63 #722) +#886 := [rewrite]: #885 +#889 := [monotonicity #886]: #888 +#893 := [trans #889 #891]: #892 +#899 := [monotonicity #893 #896]: #898 +#902 := [monotonicity #673 #899]: #901 +#907 := [trans #902 #905]: #906 +#746 := (iff #263 #743) +#725 := (or #218 #714) +#728 := (or #227 #725) +#731 := (or #236 #728) +#734 := (or #671 #731) +#737 := (or #722 #734) +#740 := (or #671 #737) +#744 := (iff #740 #743) +#745 := [rewrite]: #744 +#741 := (iff #263 #740) +#738 := (iff #255 #737) +#735 := (iff #246 #734) +#732 := (iff #237 #731) +#729 := (iff #228 #728) +#726 := (iff #219 #725) +#715 := (iff #212 #714) +#712 := (iff #207 #711) +#709 := (iff #193 #708) +#706 := (iff #190 #705) +#703 := (iff #50 #702) +#704 := [rewrite]: #703 +#684 := (iff #183 #683) +#681 := (iff #46 #680) +#678 := (iff #45 #677) +#679 := [rewrite]: #678 +#682 := [monotonicity #635 #679]: #681 +#685 := [monotonicity #682]: #684 +#707 := [monotonicity #685 #704]: #706 +#710 := [quant-intro #707]: #709 +#698 := (iff #206 #697) +#695 := (iff #187 #694) +#692 := (iff #184 #689) +#686 := (or #683 #47) +#690 := (iff #686 #689) +#691 := [rewrite]: #690 +#687 := (iff #184 #686) +#688 := [monotonicity #685]: #687 +#693 := [trans #688 #691]: #692 +#696 := [quant-intro #693]: #695 +#699 := [monotonicity #696]: #698 +#713 := [monotonicity #699 #710]: #712 +#716 := [monotonicity #696 #713]: #715 +#727 := [monotonicity #716]: #726 +#730 := [monotonicity #727]: #729 +#733 := [monotonicity #730]: #732 +#736 := [monotonicity #673 #733]: #735 +#723 := (iff #254 #722) +#720 := (iff #38 #719) +#721 := [rewrite]: #720 +#724 := [monotonicity #721]: #723 +#739 := [monotonicity #724 #736]: #738 +#742 := [monotonicity #673 #739]: #741 +#747 := [trans #742 #745]: #746 +#910 := [monotonicity #747 #907]: #909 +#938 := [monotonicity #673 #910]: #937 +#941 := [monotonicity #938]: #940 +#934 := (iff #532 #933) +#931 := (iff #168 #930) +#928 := (iff #165 #927) +#925 := (iff #33 #924) +#926 := [rewrite]: #925 +#920 := (iff #164 #919) +#917 := (iff #31 #916) +#914 := (iff #30 #913) +#915 := [rewrite]: #914 +#918 := [monotonicity #635 #915]: #917 +#921 := [monotonicity #918]: #920 +#929 := [monotonicity #921 #926]: #928 +#932 := [quant-intro #929]: #931 +#935 := [monotonicity #932]: #934 +#944 := [monotonicity #935 #941]: #943 +#947 := [monotonicity #673 #944]: #946 +#950 := [monotonicity #947]: #949 +#955 := [trans #950 #953]: #954 +#958 := [monotonicity #955]: #957 +#660 := (iff #568 #659) +#657 := (iff #159 #656) +#654 := (iff #156 #653) +#648 := (iff #21 #649) +#652 := [rewrite]: #648 +#645 := (iff #155 #644) +#642 := (iff #19 #641) +#638 := (iff #18 #637) +#640 := [rewrite]: #638 +#643 := [monotonicity #635 #640]: #642 +#646 := [monotonicity #643]: #645 +#655 := [monotonicity #646 #652]: #654 +#658 := [quant-intro #655]: #657 +#661 := [monotonicity #658]: #660 +#961 := [monotonicity #661 #958]: #960 +#964 := [monotonicity #658 #961]: #963 +#632 := (iff #580 false) +#627 := (not true) +#630 := (iff #627 false) +#631 := [rewrite]: #630 +#628 := (iff #580 #627) +#625 := (iff #152 true) +#617 := (and true true) +#620 := (and true #617) +#623 := (iff #620 true) +#624 := [rewrite]: #623 +#621 := (iff #152 #620) +#618 := (iff #149 #617) +#615 := (iff #12 true) +#616 := [rewrite]: #615 +#613 := (iff #10 true) +#614 := [rewrite]: #613 +#619 := [monotonicity #614 #616]: #618 +#622 := [monotonicity #614 #619]: #621 +#626 := [trans #622 #624]: #625 #629 := [monotonicity #626]: #628 -#643 := [monotonicity #629 #640]: #642 -#646 := [monotonicity #626 #643]: #645 -#602 := (iff #269 #601) -#599 := (iff #231 #596) -#587 := (and #560 #222) -#590 := (and #584 #587) -#593 := (and #560 #590) -#597 := (iff #593 #596) -#598 := [rewrite]: #597 -#594 := (iff #231 #593) -#591 := (iff #228 #590) -#588 := (iff #225 #587) -#589 := [monotonicity #562]: #588 -#585 := (iff #46 #584) -#586 := [rewrite]: #585 -#592 := [monotonicity #586 #589]: #591 -#595 := [monotonicity #562 #592]: #594 -#600 := [trans #595 #598]: #599 -#603 := [monotonicity #600]: #602 -#649 := [monotonicity #603 #646]: #648 -#797 := [monotonicity #649 #794]: #796 -#581 := (iff #442 #580) -#578 := (iff #207 #575) -#563 := (and #560 #183) -#566 := (and #551 #563) -#569 := (and #560 #566) -#572 := (and #9 #569) -#576 := (iff #572 #575) -#577 := [rewrite]: #576 -#573 := (iff #207 #572) -#570 := (iff #197 #569) -#567 := (iff #194 #566) -#564 := (iff #189 #563) -#565 := [monotonicity #562]: #564 -#552 := (iff #180 #551) -#549 := (iff #177 #548) -#546 := (iff #36 #545) -#547 := [rewrite]: #546 -#541 := (iff #176 #540) -#538 := (iff #34 #537) -#535 := (iff #33 #531) -#536 := [rewrite]: #535 -#539 := [monotonicity #504 #536]: #538 -#542 := [monotonicity #539]: #541 -#550 := [monotonicity #542 #547]: #549 -#553 := [quant-intro #550]: #552 -#568 := [monotonicity #553 #565]: #567 -#571 := [monotonicity #562 #568]: #570 -#574 := [monotonicity #571]: #573 -#579 := [trans #574 #577]: #578 -#582 := [monotonicity #579]: #581 -#800 := [monotonicity #582 #797]: #799 -#803 := [monotonicity #800]: #802 -#529 := (iff #454 #528) -#526 := (iff #171 #525) -#523 := (iff #168 #522) -#517 := (iff #24 #518) -#521 := [rewrite]: #517 -#514 := (iff #167 #513) -#511 := (iff #22 #510) -#507 := (iff #21 #506) -#509 := [rewrite]: #507 -#512 := [monotonicity #504 #509]: #511 -#515 := [monotonicity #512]: #514 -#524 := [monotonicity #515 #521]: #523 -#527 := [quant-intro #524]: #526 -#530 := [monotonicity #527]: #529 -#806 := [monotonicity #530 #803]: #805 -#809 := [monotonicity #527 #806]: #808 -#501 := (iff #466 #500) -#498 := (iff #157 #495) -#483 := (and true true) -#486 := (and true #483) -#489 := (and #9 #486) -#492 := (and #480 #489) -#496 := (iff #492 #495) -#497 := [rewrite]: #496 -#493 := (iff #157 #492) -#490 := (iff #154 #489) -#487 := (iff #151 #486) -#484 := (iff #148 #483) -#477 := (iff #12 true) -#478 := [rewrite]: #477 -#475 := (iff #10 true) -#476 := [rewrite]: #475 -#485 := [monotonicity #476 #478]: #484 -#488 := [monotonicity #476 #485]: #487 -#491 := [monotonicity #488]: #490 -#481 := (iff #6 #480) +#633 := [trans #629 #631]: #632 +#978 := [monotonicity #633 #964]: #977 +#981 := [monotonicity #978]: #980 +#974 := (iff #597 #965) +#966 := (not #965) +#969 := (not #966) +#972 := (iff #969 #965) +#973 := [rewrite]: #972 +#970 := (iff #597 #969) +#967 := (iff #6 #966) +#968 := [rewrite]: #967 +#971 := [monotonicity #968]: #970 +#975 := [trans #971 #973]: #974 +#984 := [monotonicity #975 #981]: #983 +#989 := [trans #984 #987]: #988 +#992 := [monotonicity #989]: #991 +#611 := (iff #130 #610) +#608 := (iff #129 #598) +#603 := (implies true #598) +#606 := (iff #603 #598) +#607 := [rewrite]: #606 +#604 := (iff #129 #603) +#601 := (iff #128 #598) +#594 := (implies #6 #589) +#599 := (iff #594 #598) +#600 := [rewrite]: #599 +#595 := (iff #128 #594) +#592 := (iff #127 #589) +#586 := (implies #9 #581) +#590 := (iff #586 #589) +#591 := [rewrite]: #590 +#587 := (iff #127 #586) +#584 := (iff #126 #581) +#577 := (implies #152 #574) +#582 := (iff #577 #581) +#583 := [rewrite]: #582 +#578 := (iff #126 #577) +#575 := (iff #125 #574) +#572 := (iff #124 #569) +#565 := (implies #159 #562) +#570 := (iff #565 #569) +#571 := [rewrite]: #570 +#566 := (iff #124 #565) +#563 := (iff #123 #562) +#560 := (iff #122 #557) +#553 := (implies #9 #541) +#558 := (iff #553 #557) +#559 := [rewrite]: #558 +#554 := (iff #122 #553) +#551 := (iff #121 #541) +#546 := (implies true #541) +#549 := (iff #546 #541) +#550 := [rewrite]: #549 +#547 := (iff #121 #546) +#544 := (iff #120 #541) +#538 := (implies #29 #533) +#542 := (iff #538 #541) +#543 := [rewrite]: #542 +#539 := (iff #120 #538) +#536 := (iff #119 #533) +#529 := (implies #168 #524) +#534 := (iff #529 #533) +#535 := [rewrite]: #534 +#530 := (iff #119 #529) +#527 := (iff #118 #524) +#520 := (implies #171 #515) +#525 := (iff #520 #524) +#526 := [rewrite]: #525 +#521 := (iff #118 #520) +#518 := (iff #117 #515) +#512 := (implies #29 #509) +#516 := (iff #512 #515) +#517 := [rewrite]: #516 +#513 := (iff #117 #512) +#510 := (iff #116 #509) +#507 := (iff #115 #497) +#502 := (implies true #497) +#505 := (iff #502 #497) +#506 := [rewrite]: #505 +#503 := (iff #115 #502) +#500 := (iff #114 #497) +#494 := (implies #29 #489) +#498 := (iff #494 #497) +#499 := [rewrite]: #498 +#495 := (iff #114 #494) +#492 := (iff #113 #489) +#485 := (implies #63 #480) +#490 := (iff #485 #489) +#491 := [rewrite]: #490 +#486 := (iff #113 #485) +#483 := (iff #112 #480) +#477 := (implies #29 #474) +#481 := (iff #477 #480) #482 := [rewrite]: #481 -#494 := [monotonicity #482 #491]: #493 -#499 := [trans #494 #497]: #498 -#502 := [monotonicity #499]: #501 -#812 := [monotonicity #502 #809]: #811 -#815 := [monotonicity #812]: #814 -#473 := (iff #129 #472) -#470 := (iff #128 #467) -#463 := (implies #157 #460) -#468 := (iff #463 #467) -#469 := [rewrite]: #468 -#464 := (iff #128 #463) -#461 := (iff #127 #460) -#458 := (iff #126 #455) -#451 := (implies #171 #448) -#456 := (iff #451 #455) -#457 := [rewrite]: #456 -#452 := (iff #126 #451) -#449 := (iff #125 #448) -#446 := (iff #124 #443) -#439 := (implies #207 #436) -#444 := (iff #439 #443) -#445 := [rewrite]: #444 -#440 := (iff #124 #439) -#437 := (iff #123 #436) -#434 := (iff #122 #431) -#427 := (implies #278 #424) -#432 := (iff #427 #431) -#433 := [rewrite]: #432 -#428 := (iff #122 #427) -#425 := (iff #121 #424) -#422 := (iff #120 #419) -#415 := (implies #405 #370) -#420 := (iff #415 #419) -#421 := [rewrite]: #420 -#416 := (iff #120 #415) -#371 := (iff #109 #370) -#368 := (iff #108 #365) -#361 := (implies #355 #358) -#366 := (iff #361 #365) -#367 := [rewrite]: #366 -#362 := (iff #108 #361) -#359 := (iff #107 #358) -#360 := [rewrite]: #359 -#356 := (iff #105 #355) -#353 := (iff #104 #352) -#354 := [rewrite]: #353 -#357 := [quant-intro #354]: #356 -#363 := [monotonicity #357 #360]: #362 -#369 := [trans #363 #367]: #368 -#372 := [monotonicity #357 #369]: #371 -#413 := (iff #119 #405) -#408 := (and true #405) -#411 := (iff #408 #405) -#412 := [rewrite]: #411 -#409 := (iff #119 #408) -#406 := (iff #118 #405) -#403 := (iff #117 #402) -#400 := (iff #116 #399) -#397 := (iff #115 #396) -#394 := (iff #114 #391) -#388 := (and #385 #316) -#392 := (iff #388 #391) -#393 := [rewrite]: #392 -#389 := (iff #114 #388) -#324 := (iff #93 #316) -#319 := (and true #316) -#322 := (iff #319 #316) -#323 := [rewrite]: #322 -#320 := (iff #93 #319) -#317 := (iff #92 #316) -#314 := (iff #91 #311) -#308 := (and #305 #90) -#312 := (iff #308 #311) -#313 := [rewrite]: #312 -#309 := (iff #91 #308) -#306 := (iff #87 #305) -#303 := (= #86 #302) +#478 := (iff #112 #477) +#475 := (iff #111 #474) +#472 := (iff #110 #462) +#467 := (implies true #462) +#470 := (iff #467 #462) +#471 := [rewrite]: #470 +#468 := (iff #110 #467) +#465 := (iff #109 #462) +#459 := (implies #29 #454) +#463 := (iff #459 #462) +#464 := [rewrite]: #463 +#460 := (iff #109 #459) +#457 := (iff #108 #454) +#450 := (implies #102 #445) +#455 := (iff #450 #454) +#456 := [rewrite]: #455 +#451 := (iff #108 #450) +#448 := (iff #107 #445) +#442 := (implies #29 #437) +#446 := (iff #442 #445) +#447 := [rewrite]: #446 +#443 := (iff #107 #442) +#440 := (iff #106 #437) +#433 := (implies #418 #428) +#438 := (iff #433 #437) +#439 := [rewrite]: #438 +#434 := (iff #106 #433) +#431 := (iff #105 #428) +#424 := (implies #421 #346) +#429 := (iff #424 #428) +#430 := [rewrite]: #429 +#425 := (iff #105 #424) +#356 := (iff #94 #346) +#351 := (implies true #346) +#354 := (iff #351 #346) +#355 := [rewrite]: #354 +#352 := (iff #94 #351) +#349 := (iff #93 #346) +#342 := (implies #286 #337) +#347 := (iff #342 #346) +#348 := [rewrite]: #347 +#343 := (iff #93 #342) +#340 := (iff #92 #337) +#333 := (implies #292 #328) +#338 := (iff #333 #337) +#339 := [rewrite]: #338 +#334 := (iff #92 #333) +#331 := (iff #91 #328) +#324 := (implies #80 #321) +#329 := (iff #324 #328) +#330 := [rewrite]: #329 +#325 := (iff #91 #324) +#322 := (iff #90 #321) +#319 := (iff #89 #316) +#312 := (implies #299 #302) +#317 := (iff #312 #316) +#318 := [rewrite]: #317 +#313 := (iff #89 #312) +#310 := (iff #88 #302) +#305 := (and #302 true) +#308 := (iff #305 #302) +#309 := [rewrite]: #308 +#306 := (iff #88 #305) +#303 := (iff #87 #302) #304 := [rewrite]: #303 #307 := [monotonicity #304]: #306 -#310 := [monotonicity #307]: #309 -#315 := [trans #310 #313]: #314 -#300 := (iff #84 #299) -#301 := [rewrite]: #300 -#318 := [monotonicity #301 #315]: #317 -#321 := [monotonicity #318]: #320 -#325 := [trans #321 #323]: #324 -#386 := (iff #113 #385) -#387 := [rewrite]: #386 -#390 := [monotonicity #387 #325]: #389 -#395 := [trans #390 #393]: #394 -#383 := (iff #112 #382) -#384 := [rewrite]: #383 -#398 := [monotonicity #384 #395]: #397 -#401 := [monotonicity #398]: #400 -#404 := [monotonicity #401]: #403 -#407 := [monotonicity #404]: #406 -#410 := [monotonicity #407]: #409 -#414 := [trans #410 #412]: #413 -#417 := [monotonicity #414 #372]: #416 -#423 := [trans #417 #421]: #422 -#380 := (iff #110 #377) -#373 := (implies #341 #370) -#378 := (iff #373 #377) -#379 := [rewrite]: #378 -#374 := (iff #110 #373) -#349 := (iff #100 #341) -#344 := (and true #341) -#347 := (iff #344 #341) -#348 := [rewrite]: #347 -#345 := (iff #100 #344) -#342 := (iff #99 #341) -#339 := (iff #98 #338) -#336 := (iff #97 #335) -#333 := (iff #96 #332) -#330 := (iff #95 #329) -#327 := (iff #94 #326) -#297 := (iff #82 #296) +#311 := [trans #307 #309]: #310 +#300 := (iff #85 #299) +#297 := (iff #84 #296) #298 := [rewrite]: #297 -#328 := [monotonicity #298 #325]: #327 -#294 := (iff #80 #293) -#295 := [rewrite]: #294 -#331 := [monotonicity #295 #328]: #330 -#291 := (iff #78 #31) -#292 := [rewrite]: #291 -#334 := [monotonicity #292 #331]: #333 -#289 := (iff #77 #288) -#290 := [rewrite]: #289 -#337 := [monotonicity #290 #334]: #336 -#340 := [monotonicity #337]: #339 -#343 := [monotonicity #340]: #342 -#346 := [monotonicity #343]: #345 -#350 := [trans #346 #348]: #349 -#375 := [monotonicity #350 #372]: #374 -#381 := [trans #375 #379]: #380 -#426 := [monotonicity #381 #423]: #425 -#286 := (iff #73 #278) -#281 := (and true #278) -#284 := (iff #281 #278) +#301 := [quant-intro #298]: #300 +#314 := [monotonicity #301 #311]: #313 +#320 := [trans #314 #318]: #319 +#323 := [monotonicity #301 #320]: #322 +#326 := [monotonicity #323]: #325 +#332 := [trans #326 #330]: #331 +#293 := (iff #77 #292) +#290 := (= #76 #289) +#291 := [rewrite]: #290 +#294 := [monotonicity #291]: #293 +#335 := [monotonicity #294 #332]: #334 +#341 := [trans #335 #339]: #340 +#287 := (iff #74 #286) +#288 := [rewrite]: #287 +#344 := [monotonicity #288 #341]: #343 +#350 := [trans #344 #348]: #349 +#353 := [monotonicity #350]: #352 +#357 := [trans #353 #355]: #356 +#422 := (iff #104 #421) +#423 := [rewrite]: #422 +#426 := [monotonicity #423 #357]: #425 +#432 := [trans #426 #430]: #431 +#419 := (iff #103 #418) +#420 := [rewrite]: #419 +#435 := [monotonicity #420 #432]: #434 +#441 := [trans #435 #439]: #440 +#444 := [monotonicity #441]: #443 +#449 := [trans #444 #447]: #448 +#452 := [monotonicity #449]: #451 +#458 := [trans #452 #456]: #457 +#461 := [monotonicity #458]: #460 +#466 := [trans #461 #464]: #465 +#469 := [monotonicity #466]: #468 +#473 := [trans #469 #471]: #472 +#416 := (iff #101 #406) +#411 := (implies true #406) +#414 := (iff #411 #406) +#415 := [rewrite]: #414 +#412 := (iff #101 #411) +#409 := (iff #100 #406) +#403 := (implies #29 #398) +#407 := (iff #403 #406) +#408 := [rewrite]: #407 +#404 := (iff #100 #403) +#401 := (iff #99 #398) +#394 := (implies #65 #389) +#399 := (iff #394 #398) +#400 := [rewrite]: #399 +#395 := (iff #99 #394) +#392 := (iff #98 #389) +#385 := (implies #275 #380) +#390 := (iff #385 #389) +#391 := [rewrite]: #390 +#386 := (iff #98 #385) +#383 := (iff #97 #380) +#376 := (implies #28 #371) +#381 := (iff #376 #380) +#382 := [rewrite]: #381 +#377 := (iff #97 #376) +#374 := (iff #96 #371) +#367 := (implies #280 #362) +#372 := (iff #367 #371) +#373 := [rewrite]: #372 +#368 := (iff #96 #367) +#365 := (iff #95 #362) +#358 := (implies #283 #346) +#363 := (iff #358 #362) +#364 := [rewrite]: #363 +#359 := (iff #95 #358) +#284 := (iff #72 #283) #285 := [rewrite]: #284 -#282 := (iff #73 #281) -#279 := (iff #72 #278) -#276 := (iff #71 #275) +#360 := [monotonicity #285 #357]: #359 +#366 := [trans #360 #364]: #365 +#281 := (iff #70 #280) +#282 := [rewrite]: #281 +#369 := [monotonicity #282 #366]: #368 +#375 := [trans #369 #373]: #374 +#278 := (iff #68 #28) +#279 := [rewrite]: #278 +#378 := [monotonicity #279 #375]: #377 +#384 := [trans #378 #382]: #383 +#276 := (iff #67 #275) #277 := [rewrite]: #276 -#280 := [monotonicity #277]: #279 -#283 := [monotonicity #280]: #282 -#287 := [trans #283 #285]: #286 -#429 := [monotonicity #287 #426]: #428 -#435 := [trans #429 #433]: #434 -#273 := (iff #69 #270) -#266 := (implies #231 #263) -#271 := (iff #266 #270) +#387 := [monotonicity #277 #384]: #386 +#393 := [trans #387 #391]: #392 +#396 := [monotonicity #393]: #395 +#402 := [trans #396 #400]: #401 +#405 := [monotonicity #402]: #404 +#410 := [trans #405 #408]: #409 +#413 := [monotonicity #410]: #412 +#417 := [trans #413 #415]: #416 +#476 := [monotonicity #417 #473]: #475 +#479 := [monotonicity #476]: #478 +#484 := [trans #479 #482]: #483 +#487 := [monotonicity #484]: #486 +#493 := [trans #487 #491]: #492 +#496 := [monotonicity #493]: #495 +#501 := [trans #496 #499]: #500 +#504 := [monotonicity #501]: #503 +#508 := [trans #504 #506]: #507 +#273 := (iff #62 #263) +#268 := (implies true #263) +#271 := (iff #268 #263) #272 := [rewrite]: #271 -#267 := (iff #69 #266) -#264 := (iff #68 #263) -#261 := (iff #67 #258) -#254 := (implies #245 #251) -#259 := (iff #254 #258) -#260 := [rewrite]: #259 -#255 := (iff #67 #254) -#252 := (iff #66 #251) -#249 := (iff #65 #248) -#250 := [rewrite]: #249 -#253 := [quant-intro #250]: #252 -#246 := (iff #63 #245) -#243 := (iff #62 #242) -#244 := [rewrite]: #243 -#247 := [quant-intro #244]: #246 -#256 := [monotonicity #247 #253]: #255 -#262 := [trans #256 #260]: #261 -#265 := [monotonicity #247 #262]: #264 -#239 := (iff #58 #231) -#234 := (and true #231) -#237 := (iff #234 #231) -#238 := [rewrite]: #237 -#235 := (iff #58 #234) -#232 := (iff #57 #231) -#229 := (iff #56 #228) -#226 := (iff #55 #225) -#223 := (iff #54 #222) -#220 := (iff #53 #219) -#217 := (iff #52 #216) -#218 := [rewrite]: #217 -#214 := (iff #50 #213) -#215 := [rewrite]: #214 -#221 := [monotonicity #215 #218]: #220 -#211 := (iff #48 #210) -#212 := [rewrite]: #211 -#224 := [monotonicity #212 #221]: #223 -#227 := [monotonicity #224]: #226 -#230 := [monotonicity #227]: #229 -#233 := [monotonicity #230]: #232 -#236 := [monotonicity #233]: #235 -#240 := [trans #236 #238]: #239 -#268 := [monotonicity #240 #265]: #267 -#274 := [trans #268 #272]: #273 -#438 := [monotonicity #274 #435]: #437 -#208 := (iff #45 #207) -#205 := (iff #44 #197) -#200 := (and true #197) -#203 := (iff #200 #197) -#204 := [rewrite]: #203 -#201 := (iff #44 #200) -#198 := (iff #43 #197) -#195 := (iff #42 #194) -#192 := (iff #41 #189) -#186 := (and #183 #32) -#190 := (iff #186 #189) -#191 := [rewrite]: #190 -#187 := (iff #41 #186) -#184 := (iff #40 #183) -#185 := [rewrite]: #184 -#188 := [monotonicity #185]: #187 -#193 := [trans #188 #191]: #192 -#181 := (iff #38 #180) -#178 := (iff #37 #177) +#269 := (iff #62 #268) +#266 := (iff #61 #263) +#260 := (implies #29 #255) +#264 := (iff #260 #263) +#265 := [rewrite]: #264 +#261 := (iff #61 #260) +#258 := (iff #60 #255) +#251 := (implies #38 #246) +#256 := (iff #251 #255) +#257 := [rewrite]: #256 +#252 := (iff #60 #251) +#249 := (iff #59 #246) +#242 := (implies #29 #237) +#247 := (iff #242 #246) +#248 := [rewrite]: #247 +#243 := (iff #59 #242) +#240 := (iff #58 #237) +#233 := (implies #174 #228) +#238 := (iff #233 #237) +#239 := [rewrite]: #238 +#234 := (iff #58 #233) +#231 := (iff #57 #228) +#224 := (implies #177 #219) +#229 := (iff #224 #228) +#230 := [rewrite]: #229 +#225 := (iff #57 #224) +#222 := (iff #56 #219) +#215 := (implies #180 #212) +#220 := (iff #215 #219) +#221 := [rewrite]: #220 +#216 := (iff #56 #215) +#213 := (iff #55 #212) +#210 := (iff #54 #207) +#203 := (implies #187 #193) +#208 := (iff #203 #207) +#209 := [rewrite]: #208 +#204 := (iff #54 #203) +#201 := (iff #53 #193) +#196 := (and #193 true) +#199 := (iff #196 #193) +#200 := [rewrite]: #199 +#197 := (iff #53 #196) +#194 := (iff #52 #193) +#191 := (iff #51 #190) +#192 := [rewrite]: #191 +#195 := [quant-intro #192]: #194 +#198 := [monotonicity #195]: #197 +#202 := [trans #198 #200]: #201 +#188 := (iff #49 #187) +#185 := (iff #48 #184) +#186 := [rewrite]: #185 +#189 := [quant-intro #186]: #188 +#205 := [monotonicity #189 #202]: #204 +#211 := [trans #205 #209]: #210 +#214 := [monotonicity #189 #211]: #213 +#181 := (iff #44 #180) +#182 := [rewrite]: #181 +#217 := [monotonicity #182 #214]: #216 +#223 := [trans #217 #221]: #222 +#178 := (iff #42 #177) #179 := [rewrite]: #178 -#182 := [quant-intro #179]: #181 -#196 := [monotonicity #182 #193]: #195 -#199 := [monotonicity #196]: #198 -#202 := [monotonicity #199]: #201 -#206 := [trans #202 #204]: #205 -#174 := (iff #27 #9) -#175 := [rewrite]: #174 -#209 := [monotonicity #175 #206]: #208 -#441 := [monotonicity #209 #438]: #440 -#447 := [trans #441 #445]: #446 -#450 := [monotonicity #175 #447]: #449 -#172 := (iff #26 #171) -#169 := (iff #25 #168) -#170 := [rewrite]: #169 -#173 := [quant-intro #170]: #172 -#453 := [monotonicity #173 #450]: #452 -#459 := [trans #453 #457]: #458 -#462 := [monotonicity #173 #459]: #461 -#165 := (iff #18 #157) -#160 := (and true #157) -#163 := (iff #160 #157) -#164 := [rewrite]: #163 -#161 := (iff #18 #160) -#158 := (iff #17 #157) -#155 := (iff #16 #154) -#152 := (iff #15 #151) -#149 := (iff #14 #148) -#146 := (iff #13 #12) -#147 := [rewrite]: #146 -#150 := [monotonicity #147]: #149 -#153 := [monotonicity #150]: #152 -#156 := [monotonicity #153]: #155 -#159 := [monotonicity #156]: #158 -#162 := [monotonicity #159]: #161 -#166 := [trans #162 #164]: #165 -#465 := [monotonicity #166 #462]: #464 -#471 := [trans #465 #469]: #470 -#474 := [monotonicity #471]: #473 -#817 := [trans #474 #815]: #816 -#145 := [asserted]: #129 -#818 := [mp #145 #817]: #813 -#819 := [not-or-elim #818]: #495 -#820 := [and-elim #819]: #9 -#824 := [iff-true #820]: #826 -#831 := [monotonicity #824]: #830 -#836 := [trans #831 #834]: #835 -#839 := [monotonicity #836]: #838 -#842 := [monotonicity #839]: #841 -#847 := [trans #842 #845]: #846 -#850 := [monotonicity #824 #847]: #849 -#854 := [trans #850 #852]: #853 -#857 := [monotonicity #854]: #856 -#862 := [trans #857 #860]: #861 -#865 := [monotonicity #862]: #864 -#868 := [monotonicity #865]: #867 -#823 := [not-or-elim #818]: #822 -#869 := [mp #823 #868]: #866 -#1033 := [mp~ #869 #1032]: #1030 -#1034 := [mp #1033 #1201]: #1199 -#1514 := [mp #1034 #1513]: #1509 -#2079 := [mp #1514 #2078]: #2076 -#1835 := [unit-resolution #2079 #2418]: #1213 -#1658 := (or #1208 #874) -#1659 := [def-axiom]: #1658 -#1728 := [unit-resolution #1659 #1835]: #874 -#1650 := (or #1208 #875) -#1661 := [def-axiom]: #1650 -#1839 := [unit-resolution #1661 #1835]: #875 -#1840 := [th-lemma #1839 #1728]: #1860 -#1846 := [monotonicity #1840]: #1841 -#1843 := [symm #1846]: #1842 -#1813 := [trans #820 #1843]: #1833 -#1572 := (not #872) -#1657 := (or #1208 #1572) -#1573 := [def-axiom]: #1657 -#1772 := [unit-resolution #1573 #1835]: #1572 -#1806 := (not #1833) -#1803 := (or #1806 #872) -#1805 := [th-lemma]: #1803 -[unit-resolution #1805 #1772 #1813]: false +#226 := [monotonicity #179 #223]: #225 +#232 := [trans #226 #230]: #231 +#175 := (iff #40 #174) +#176 := [rewrite]: #175 +#235 := [monotonicity #176 #232]: #234 +#241 := [trans #235 #239]: #240 +#244 := [monotonicity #241]: #243 +#250 := [trans #244 #248]: #249 +#253 := [monotonicity #250]: #252 +#259 := [trans #253 #257]: #258 +#262 := [monotonicity #259]: #261 +#267 := [trans #262 #265]: #266 +#270 := [monotonicity #267]: #269 +#274 := [trans #270 #272]: #273 +#511 := [monotonicity #274 #508]: #510 +#514 := [monotonicity #511]: #513 +#519 := [trans #514 #517]: #518 +#172 := (iff #37 #171) +#173 := [rewrite]: #172 +#522 := [monotonicity #173 #519]: #521 +#528 := [trans #522 #526]: #527 +#169 := (iff #35 #168) +#166 := (iff #34 #165) +#167 := [rewrite]: #166 +#170 := [quant-intro #167]: #169 +#531 := [monotonicity #170 #528]: #530 +#537 := [trans #531 #535]: #536 +#540 := [monotonicity #537]: #539 +#545 := [trans #540 #543]: #544 +#548 := [monotonicity #545]: #547 +#552 := [trans #548 #550]: #551 +#162 := (iff #24 #9) +#163 := [rewrite]: #162 +#555 := [monotonicity #163 #552]: #554 +#561 := [trans #555 #559]: #560 +#564 := [monotonicity #163 #561]: #563 +#160 := (iff #23 #159) +#157 := (iff #22 #156) +#158 := [rewrite]: #157 +#161 := [quant-intro #158]: #160 +#567 := [monotonicity #161 #564]: #566 +#573 := [trans #567 #571]: #572 +#576 := [monotonicity #161 #573]: #575 +#153 := (iff #15 #152) +#150 := (iff #14 #149) +#147 := (iff #13 #12) +#148 := [rewrite]: #147 +#151 := [monotonicity #148]: #150 +#154 := [monotonicity #151]: #153 +#579 := [monotonicity #154 #576]: #578 +#585 := [trans #579 #583]: #584 +#588 := [monotonicity #585]: #587 +#593 := [trans #588 #591]: #592 +#596 := [monotonicity #593]: #595 +#602 := [trans #596 #600]: #601 +#605 := [monotonicity #602]: #604 +#609 := [trans #605 #607]: #608 +#612 := [monotonicity #609]: #611 +#994 := [trans #612 #992]: #993 +#146 := [asserted]: #130 +#995 := [mp #146 #994]: #990 +#996 := [not-or-elim #995]: #9 +#2042 := (or #556 #2051) +#2066 := [th-lemma]: #2042 +#2043 := [unit-resolution #2066 #996]: #2051 +decl ?x1!0 :: int +#1039 := ?x1!0 +#1040 := (uf_3 ?x1!0) +#1037 := (* -1::int #1040) +#1038 := (+ uf_2 #1037) +#1041 := (>= #1038 0::int) +#1780 := (not #1041) +#1044 := (>= ?x1!0 0::int) +#1094 := (not #1044) +#1042 := (>= ?x1!0 1::int) +#1427 := (or #1041 #1042 #1094) +#1432 := (not #1427) +decl ?x4!1 :: int +#1081 := ?x4!1 +#1089 := (uf_3 ?x4!1) +#1262 := (= uf_8 #1089) +#1086 := (>= ?x4!1 0::int) +#1505 := (not #1086) +#1082 := (* -1::int ?x4!1) +#1083 := (+ uf_1 #1082) +#1084 := (<= #1083 0::int) +#1520 := (or #1084 #1505 #1262) +#1551 := (not #1520) +decl ?x6!2 :: int +#1099 := ?x6!2 +#1100 := (uf_3 ?x6!2) +#1286 := (* -1::int #1100) +#1287 := (+ uf_8 #1286) +#1288 := (>= #1287 0::int) +#1107 := (>= ?x6!2 0::int) +#1525 := (not #1107) +#1103 := (* -1::int ?x6!2) +#1104 := (+ uf_1 #1103) +#1105 := (<= #1104 0::int) +#1682 := (or #1105 #1525 #1288 #1551) +#1685 := (not #1682) +#2194 := (pattern #20) +#1435 := (not #636) +#1494 := (or #47 #1435 #676) +#1499 := (not #1494) +#2255 := (forall (vars (?x4 int)) (:pat #2194) #1499) +#2260 := (or #2255 #1685) +#2263 := (not #2260) +#1564 := (not #663) +#2266 := (or #236 #227 #218 #1564 #810 #722 #2263) +#2269 := (not #2266) +decl ?x7!3 :: int +#1148 := ?x7!3 +#1149 := (uf_3 ?x7!3) +#1351 := (* -1::int #1149) +#1352 := (+ uf_12 #1351) +#1353 := (>= #1352 0::int) +#1329 := (* -1::int ?x7!3) +#1330 := (+ uf_13 #1329) +#1331 := (<= #1330 0::int) +#1155 := (>= ?x7!3 0::int) +#1604 := (not #1155) +#1619 := (or #1604 #1331 #1353) +#1624 := (not #1619) +#1586 := (or #1435 #760 #774) +#2211 := (forall (vars (?x7 int)) (:pat #2194) #1586) +#2216 := (not #2211) +#2219 := (or #302 #2216) +#2222 := (not #2219) +#2225 := (or #2222 #1624) +#2228 := (not #2225) +#1634 := (not #752) +#1633 := (not #749) +#2237 := (or #436 #427 #1564 #810 #1633 #1634 #801 #813 #2228) +#2240 := (not #2237) +#2231 := (or #388 #370 #361 #1564 #810 #1633 #1634 #801 #814 #2228) +#2234 := (not #2231) +#2243 := (or #2234 #2240) +#2246 := (not #2243) +#2249 := (or #1564 #810 #719 #2246) +#2252 := (not #2249) +#2272 := (or #2252 #2269) +#2275 := (not #2272) +#1472 := (or #1435 #911 #924) +#2203 := (forall (vars (?x3 int)) (:pat #2194) #1472) +#2208 := (not #2203) +#1450 := (or #1435 #639 #649) +#2195 := (forall (vars (?x1 int)) (:pat #2194) #1450) +#2200 := (not #2195) +#2278 := (or #523 #1564 #810 #2200 #2208 #2275) +#1336 := (not #1331) +#2281 := (not #2278) +#2525 := [hypothesis]: #2281 +#2115 := (or #2278 #171) +#2099 := [def-axiom]: #2115 +#2526 := [unit-resolution #2099 #2525]: #171 +#2093 := (or #2278 #2272) +#2095 := [def-axiom]: #2093 +#2527 := [unit-resolution #2095 #2525]: #2272 +#2106 := (or #2278 #2203) +#2092 := [def-axiom]: #2106 +#2528 := [unit-resolution #2092 #2525]: #2203 +#2347 := (or #2266 #523 #2208) +#1786 := (uf_3 uf_7) +#2291 := (= uf_8 #1786) +#2341 := (= #36 #1786) +#2339 := (= #1786 #36) +#2324 := [hypothesis]: #2269 +#2032 := (or #2266 #174) +#2033 := [def-axiom]: #2032 +#2335 := [unit-resolution #2033 #2324]: #174 +#2336 := [symm #2335]: #40 +#2340 := [monotonicity #2336]: #2339 +#2342 := [symm #2340]: #2341 +#2343 := (= uf_8 #36) +#2337 := [hypothesis]: #171 +#2034 := (or #2266 #177) +#2035 := [def-axiom]: #2034 +#2326 := [unit-resolution #2035 #2324]: #177 +#2338 := [symm #2326]: #42 +#2344 := [trans #2338 #2337]: #2343 +#2345 := [trans #2344 #2342]: #2291 +#2319 := (not #2291) +#1785 := (>= uf_7 0::int) +#1783 := (not #1785) +#1795 := (* -1::int uf_7) +#1782 := (+ uf_1 #1795) +#1784 := (<= #1782 0::int) +#2297 := (or #1784 #1783 #2291) +#2302 := (not #2297) +#2119 := (or #2266 #2260) +#2120 := [def-axiom]: #2119 +#2325 := [unit-resolution #2120 #2324]: #2260 +#1953 := (+ uf_6 #700) +#1954 := (<= #1953 0::int) +#2327 := (or #227 #1954) +#2328 := [th-lemma]: #2327 +#2329 := [unit-resolution #2328 #2326]: #1954 +#1831 := [hypothesis]: #2203 +#2107 := (or #2266 #719) +#2109 := [def-axiom]: #2107 +#2330 := [unit-resolution #2109 #2324]: #719 +#1862 := (not #1954) +#1841 := (or #1682 #722 #2208 #1862) +#1864 := [hypothesis]: #719 +#1943 := (+ uf_5 #1103) +#1944 := (<= #1943 0::int) +#1922 := (+ uf_6 #1286) +#1923 := (>= #1922 0::int) +#1861 := (not #1923) +#1855 := [hypothesis]: #1954 +#2018 := (not #1288) +#1847 := [hypothesis]: #1685 +#2019 := (or #1682 #2018) +#1978 := [def-axiom]: #2019 +#1849 := [unit-resolution #1978 #1847]: #2018 +#1863 := (or #1861 #1288 #1862) +#1846 := [hypothesis]: #2018 +#1859 := [hypothesis]: #1923 +#1860 := [th-lemma #1859 #1846 #1855]: false +#1853 := [lemma #1860]: #1863 +#1850 := [unit-resolution #1853 #1849 #1855]: #1861 +#1836 := (or #1923 #1944) +#2135 := (or #1682 #1107) +#2017 := [def-axiom]: #2135 +#1829 := [unit-resolution #2017 #1847]: #1107 +#1912 := (or #2208 #1525 #1923 #1944) +#1955 := (+ #1100 #922) +#1945 := (<= #1955 0::int) +#1935 := (+ ?x6!2 #717) +#1937 := (>= #1935 0::int) +#1938 := (or #1525 #1937 #1945) +#1913 := (or #2208 #1938) +#1904 := (iff #1913 #1912) +#1906 := (or #1525 #1923 #1944) +#1907 := (or #2208 #1906) +#1901 := (iff #1907 #1912) +#1902 := [rewrite]: #1901 +#1915 := (iff #1913 #1907) +#1910 := (iff #1938 #1906) +#1928 := (or #1525 #1944 #1923) +#1908 := (iff #1928 #1906) +#1909 := [rewrite]: #1908 +#1917 := (iff #1938 #1928) +#1926 := (iff #1945 #1923) +#1934 := (+ #922 #1100) +#1919 := (<= #1934 0::int) +#1924 := (iff #1919 #1923) +#1925 := [rewrite]: #1924 +#1920 := (iff #1945 #1919) +#1916 := (= #1955 #1934) +#1918 := [rewrite]: #1916 +#1921 := [monotonicity #1918]: #1920 +#1927 := [trans #1921 #1925]: #1926 +#1933 := (iff #1937 #1944) +#1941 := (+ #717 ?x6!2) +#1939 := (>= #1941 0::int) +#1930 := (iff #1939 #1944) +#1932 := [rewrite]: #1930 +#1947 := (iff #1937 #1939) +#1942 := (= #1935 #1941) +#1946 := [rewrite]: #1942 +#1940 := [monotonicity #1946]: #1947 +#1931 := [trans #1940 #1932]: #1933 +#1929 := [monotonicity #1931 #1927]: #1917 +#1911 := [trans #1929 #1909]: #1910 +#1900 := [monotonicity #1911]: #1915 +#1903 := [trans #1900 #1902]: #1904 +#1914 := [quant-inst]: #1913 +#1905 := [mp #1914 #1903]: #1912 +#1837 := [unit-resolution #1905 #1831 #1829]: #1836 +#1838 := [unit-resolution #1837 #1850]: #1944 +#1106 := (not #1105) +#2134 := (or #1682 #1106) +#2132 := [def-axiom]: #2134 +#1839 := [unit-resolution #2132 #1847]: #1106 +#1840 := [th-lemma #1839 #1838 #1864]: false +#1830 := [lemma #1840]: #1841 +#2331 := [unit-resolution #1830 #2330 #1831 #2329]: #1682 +#2023 := (or #2263 #2255 #1685) +#2031 := [def-axiom]: #2023 +#2332 := [unit-resolution #2031 #2331 #2325]: #2255 +#2127 := (not #2255) +#2305 := (or #2127 #2302) +#2288 := (= #1786 uf_8) +#2289 := (or #2288 #1783 #1784) +#2290 := (not #2289) +#2306 := (or #2127 #2290) +#2308 := (iff #2306 #2305) +#2310 := (iff #2305 #2305) +#2311 := [rewrite]: #2310 +#2303 := (iff #2290 #2302) +#2300 := (iff #2289 #2297) +#2294 := (or #2291 #1783 #1784) +#2298 := (iff #2294 #2297) +#2299 := [rewrite]: #2298 +#2295 := (iff #2289 #2294) +#2292 := (iff #2288 #2291) +#2293 := [rewrite]: #2292 +#2296 := [monotonicity #2293]: #2295 +#2301 := [trans #2296 #2299]: #2300 +#2304 := [monotonicity #2301]: #2303 +#2309 := [monotonicity #2304]: #2308 +#2312 := [trans #2309 #2311]: #2308 +#2307 := [quant-inst]: #2306 +#2313 := [mp #2307 #2312]: #2305 +#2333 := [unit-resolution #2313 #2332]: #2302 +#2320 := (or #2297 #2319) +#2321 := [def-axiom]: #2320 +#2334 := [unit-resolution #2321 #2333]: #2319 +#2346 := [unit-resolution #2334 #2345]: false +#2348 := [lemma #2346]: #2347 +#2529 := [unit-resolution #2348 #2526 #2528]: #2266 +#2114 := (or #2275 #2252 #2269) +#2108 := [def-axiom]: #2114 +#2548 := [unit-resolution #2108 #2529 #2527]: #2252 +#2142 := (or #2249 #2243) +#2136 := [def-axiom]: #2142 +#2614 := [unit-resolution #2136 #2548]: #2243 +#2355 := (or #302 #2246 #523) +#2349 := (= #64 #86) +#1950 := (= #86 #64) +#2314 := [hypothesis]: #2243 +#1164 := (not #302) +#1791 := [hypothesis]: #1164 +#1803 := (or #2237 #302 #523) +#1808 := (= #36 #86) +#1790 := (= #86 #36) +#1788 := [hypothesis]: #2240 +#1886 := (or #2237 #418) +#1887 := [def-axiom]: #1886 +#1789 := [unit-resolution #1887 #1788]: #418 +#1792 := [symm #1789]: #103 +#1812 := [monotonicity #1792]: #1790 +#1810 := [symm #1812]: #1808 +#1813 := (= uf_12 #36) +#2161 := (or #2237 #421) +#2165 := [def-axiom]: #2161 +#1793 := [unit-resolution #2165 #1788]: #421 +#1794 := [symm #1793]: #104 +#1796 := [trans #1794 #2337]: #1813 +#1799 := [trans #1796 #1810]: #302 +#1800 := [unit-resolution #1791 #1799]: false +#1804 := [lemma #1800]: #1803 +#2315 := [unit-resolution #1804 #1791 #2337]: #2237 +#2148 := (or #2246 #2234 #2240) +#2154 := [def-axiom]: #2148 +#2316 := [unit-resolution #2154 #2315 #2314]: #2234 +#1833 := (or #2231 #280) +#1834 := [def-axiom]: #1833 +#2322 := [unit-resolution #1834 #2316]: #280 +#2323 := [symm #2322]: #70 +#1805 := [monotonicity #2323]: #1950 +#2350 := [symm #1805]: #2349 +#2351 := (= uf_12 #64) +#2169 := (or #2231 #275) +#1832 := [def-axiom]: #2169 +#2318 := [unit-resolution #1832 #2316]: #275 +#1806 := [symm #2318]: #67 +#1835 := (or #2231 #283) +#2171 := [def-axiom]: #1835 +#2317 := [unit-resolution #2171 #2316]: #283 +#1798 := [symm #2317]: #72 +#2352 := [trans #1798 #1806]: #2351 +#2353 := [trans #2352 #2350]: #302 +#2354 := [unit-resolution #1791 #2353]: false +#2356 := [lemma #2354]: #2355 +#2615 := [unit-resolution #2356 #2614 #2526]: #302 +#1851 := (or #2219 #1164) +#2186 := [def-axiom]: #1851 +#2616 := [unit-resolution #2186 #2615]: #2219 +#2612 := (or #2237 #2208 #2222) +#2583 := [hypothesis]: #2219 +#2160 := (or #2237 #2225) +#2149 := [def-axiom]: #2160 +#2584 := [unit-resolution #2149 #1788]: #2225 +#2185 := (or #2228 #2222 #1624) +#1828 := [def-axiom]: #2185 +#2585 := [unit-resolution #1828 #2584 #2583]: #1624 +#2189 := (or #1619 #1336) +#2190 := [def-axiom]: #2189 +#2586 := [unit-resolution #2190 #2585]: #1336 +#2415 := (+ uf_5 #1329) +#2560 := (>= #2415 0::int) +#2601 := (not #2560) +#2549 := (= uf_5 ?x7!3) +#2580 := (not #2549) +#2559 := (= #64 #1149) +#2564 := (not #2559) +#2563 := (+ #64 #1351) +#2565 := (>= #2563 0::int) +#2569 := (not #2565) +#2159 := (or #2237 #814) +#2156 := [def-axiom]: #2159 +#2587 := [unit-resolution #2156 #1788]: #814 +#2191 := (not #1353) +#2192 := (or #1619 #2191) +#2187 := [def-axiom]: #2192 +#2588 := [unit-resolution #2187 #2585]: #2191 +#1787 := (+ uf_6 #772) +#2163 := (<= #1787 0::int) +#2589 := (or #427 #2163) +#2590 := [th-lemma]: #2589 +#2591 := [unit-resolution #2590 #1793]: #2163 +#2539 := (not #2163) +#2570 := (or #2569 #2539 #1353 #813) +#2566 := [hypothesis]: #814 +#2531 := [hypothesis]: #2191 +#2533 := [hypothesis]: #2163 +#2567 := [hypothesis]: #2565 +#2568 := [th-lemma #2567 #2533 #2531 #2566]: false +#2571 := [lemma #2568]: #2570 +#2592 := [unit-resolution #2571 #2591 #2588 #2587]: #2569 +#2572 := (or #2564 #2565) +#2573 := [th-lemma]: #2572 +#2593 := [unit-resolution #2573 #2592]: #2564 +#2581 := (or #2580 #2559) +#2577 := [hypothesis]: #2549 +#2578 := [monotonicity #2577]: #2559 +#2576 := [hypothesis]: #2564 +#2579 := [unit-resolution #2576 #2578]: false +#2582 := [lemma #2579]: #2581 +#2594 := [unit-resolution #2582 #2593]: #2580 +#2604 := (or #2549 #2601) +#2416 := (<= #2415 0::int) +#2427 := (+ uf_6 #1351) +#2428 := (>= #2427 0::int) +#2545 := (not #2428) +#2546 := (or #2545 #2539 #1353) +#2543 := [hypothesis]: #2428 +#2544 := [th-lemma #2533 #2531 #2543]: false +#2547 := [lemma #2544]: #2546 +#2595 := [unit-resolution #2547 #2591 #2588]: #2545 +#2597 := (or #2416 #2428) +#1856 := (or #1619 #1155) +#1857 := [def-axiom]: #1856 +#2596 := [unit-resolution #1857 #2585]: #1155 +#2436 := (or #2208 #1604 #2416 #2428) +#2404 := (+ #1149 #922) +#2405 := (<= #2404 0::int) +#2406 := (+ ?x7!3 #717) +#2407 := (>= #2406 0::int) +#2408 := (or #1604 #2407 #2405) +#2437 := (or #2208 #2408) +#2444 := (iff #2437 #2436) +#2433 := (or #1604 #2416 #2428) +#2439 := (or #2208 #2433) +#2442 := (iff #2439 #2436) +#2443 := [rewrite]: #2442 +#2440 := (iff #2437 #2439) +#2434 := (iff #2408 #2433) +#2431 := (iff #2405 #2428) +#2421 := (+ #922 #1149) +#2424 := (<= #2421 0::int) +#2429 := (iff #2424 #2428) +#2430 := [rewrite]: #2429 +#2425 := (iff #2405 #2424) +#2422 := (= #2404 #2421) +#2423 := [rewrite]: #2422 +#2426 := [monotonicity #2423]: #2425 +#2432 := [trans #2426 #2430]: #2431 +#2419 := (iff #2407 #2416) +#2409 := (+ #717 ?x7!3) +#2412 := (>= #2409 0::int) +#2417 := (iff #2412 #2416) +#2418 := [rewrite]: #2417 +#2413 := (iff #2407 #2412) +#2410 := (= #2406 #2409) +#2411 := [rewrite]: #2410 +#2414 := [monotonicity #2411]: #2413 +#2420 := [trans #2414 #2418]: #2419 +#2435 := [monotonicity #2420 #2432]: #2434 +#2441 := [monotonicity #2435]: #2440 +#2445 := [trans #2441 #2443]: #2444 +#2438 := [quant-inst]: #2437 +#2446 := [mp #2438 #2445]: #2436 +#2598 := [unit-resolution #2446 #1831 #2596]: #2597 +#2599 := [unit-resolution #2598 #2595]: #2416 +#2600 := (not #2416) +#2602 := (or #2549 #2600 #2601) +#2603 := [th-lemma]: #2602 +#2605 := [unit-resolution #2603 #2599]: #2604 +#2606 := [unit-resolution #2605 #2594]: #2601 +#1872 := (>= #798 -1::int) +#1873 := (or #2237 #797) +#2155 := [def-axiom]: #1873 +#2607 := [unit-resolution #2155 #1788]: #797 +#2608 := (or #801 #1872) +#2609 := [th-lemma]: #2608 +#2610 := [unit-resolution #2609 #2607]: #1872 +#2611 := [th-lemma #2610 #2606 #2586]: false +#2613 := [lemma #2611]: #2612 +#2617 := [unit-resolution #2613 #2528 #2616]: #2237 +#2618 := [unit-resolution #2154 #2617 #2614]: #2234 +#2178 := (or #2231 #2225) +#2181 := [def-axiom]: #2178 +#2619 := [unit-resolution #2181 #2618]: #2225 +#2620 := [unit-resolution #1828 #2619 #2616]: #1624 +#2621 := [unit-resolution #2190 #2620]: #1336 +#2397 := (+ #64 #772) +#2398 := (<= #2397 0::int) +#2396 := (= #64 uf_12) +#2622 := [unit-resolution #2171 #2618]: #283 +#2623 := [unit-resolution #1832 #2618]: #275 +#2624 := [trans #2623 #2622]: #2396 +#2625 := (not #2396) +#2626 := (or #2625 #2398) +#2627 := [th-lemma]: #2626 +#2628 := [unit-resolution #2627 #2624]: #2398 +#1820 := (or #2231 #813) +#2180 := [def-axiom]: #1820 +#2629 := [unit-resolution #2180 #2618]: #813 +#2630 := [unit-resolution #2187 #2620]: #2191 +#2631 := (not #2398) +#2632 := (or #2545 #1353 #2631 #814) +#2633 := [th-lemma]: #2632 +#2634 := [unit-resolution #2633 #2630 #2629 #2628]: #2545 +#2635 := [unit-resolution #1857 #2620]: #1155 +#2636 := [unit-resolution #2446 #2528 #2635]: #2597 +#2637 := [unit-resolution #2636 #2634]: #2416 +#2638 := (or #2569 #1353 #2631) +#2639 := [th-lemma]: #2638 +#2640 := [unit-resolution #2639 #2630 #2628]: #2569 +#2641 := [unit-resolution #2573 #2640]: #2564 +#2642 := [unit-resolution #2582 #2641]: #2580 +#2643 := [unit-resolution #2603 #2642 #2637]: #2601 +#2179 := (or #2231 #797) +#1819 := [def-axiom]: #2179 +#2644 := [unit-resolution #1819 #2618]: #797 +#2645 := [unit-resolution #2609 #2644]: #1872 +#2646 := [th-lemma #2645 #2643 #2621]: false +#2647 := [lemma #2646]: #2278 +#2284 := (or #1432 #2281) +#1502 := (forall (vars (?x4 int)) #1499) +#1688 := (or #1502 #1685) +#1691 := (not #1688) +#1694 := (or #236 #227 #218 #1564 #810 #722 #1691) +#1697 := (not #1694) +#1591 := (forall (vars (?x7 int)) #1586) +#1597 := (not #1591) +#1598 := (or #302 #1597) +#1599 := (not #1598) +#1627 := (or #1599 #1624) +#1635 := (not #1627) +#1645 := (or #436 #427 #1564 #810 #1633 #1634 #801 #813 #1635) +#1646 := (not #1645) +#1636 := (or #388 #370 #361 #1564 #810 #1633 #1634 #801 #814 #1635) +#1637 := (not #1636) +#1651 := (or #1637 #1646) +#1657 := (not #1651) +#1658 := (or #1564 #810 #719 #1657) +#1659 := (not #1658) +#1703 := (or #1659 #1697) +#1708 := (not #1703) +#1477 := (forall (vars (?x3 int)) #1472) +#1671 := (not #1477) +#1455 := (forall (vars (?x1 int)) #1450) +#1670 := (not #1455) +#1711 := (or #523 #1564 #810 #1670 #1671 #1708) +#1714 := (not #1711) +#1717 := (or #1432 #1714) +#2285 := (iff #1717 #2284) +#2282 := (iff #1714 #2281) +#2279 := (iff #1711 #2278) +#2276 := (iff #1708 #2275) +#2273 := (iff #1703 #2272) +#2270 := (iff #1697 #2269) +#2267 := (iff #1694 #2266) +#2264 := (iff #1691 #2263) +#2261 := (iff #1688 #2260) +#2258 := (iff #1502 #2255) +#2256 := (iff #1499 #1499) +#2257 := [refl]: #2256 +#2259 := [quant-intro #2257]: #2258 +#2262 := [monotonicity #2259]: #2261 +#2265 := [monotonicity #2262]: #2264 +#2268 := [monotonicity #2265]: #2267 +#2271 := [monotonicity #2268]: #2270 +#2253 := (iff #1659 #2252) +#2250 := (iff #1658 #2249) +#2247 := (iff #1657 #2246) +#2244 := (iff #1651 #2243) +#2241 := (iff #1646 #2240) +#2238 := (iff #1645 #2237) +#2229 := (iff #1635 #2228) +#2226 := (iff #1627 #2225) +#2223 := (iff #1599 #2222) +#2220 := (iff #1598 #2219) +#2217 := (iff #1597 #2216) +#2214 := (iff #1591 #2211) +#2212 := (iff #1586 #1586) +#2213 := [refl]: #2212 +#2215 := [quant-intro #2213]: #2214 +#2218 := [monotonicity #2215]: #2217 +#2221 := [monotonicity #2218]: #2220 +#2224 := [monotonicity #2221]: #2223 +#2227 := [monotonicity #2224]: #2226 +#2230 := [monotonicity #2227]: #2229 +#2239 := [monotonicity #2230]: #2238 +#2242 := [monotonicity #2239]: #2241 +#2235 := (iff #1637 #2234) +#2232 := (iff #1636 #2231) +#2233 := [monotonicity #2230]: #2232 +#2236 := [monotonicity #2233]: #2235 +#2245 := [monotonicity #2236 #2242]: #2244 +#2248 := [monotonicity #2245]: #2247 +#2251 := [monotonicity #2248]: #2250 +#2254 := [monotonicity #2251]: #2253 +#2274 := [monotonicity #2254 #2271]: #2273 +#2277 := [monotonicity #2274]: #2276 +#2209 := (iff #1671 #2208) +#2206 := (iff #1477 #2203) +#2204 := (iff #1472 #1472) +#2205 := [refl]: #2204 +#2207 := [quant-intro #2205]: #2206 +#2210 := [monotonicity #2207]: #2209 +#2201 := (iff #1670 #2200) +#2198 := (iff #1455 #2195) +#2196 := (iff #1450 #1450) +#2197 := [refl]: #2196 +#2199 := [quant-intro #2197]: #2198 +#2202 := [monotonicity #2199]: #2201 +#2280 := [monotonicity #2202 #2210 #2277]: #2279 +#2283 := [monotonicity #2280]: #2282 +#2286 := [monotonicity #2283]: #2285 +#1339 := (and #1155 #1336) +#1342 := (not #1339) +#1358 := (or #1342 #1353) +#1361 := (not #1358) +#1174 := (and #1164 #780) +#1367 := (or #1174 #1361) +#1391 := (and #418 #421 #663 #666 #749 #752 #797 #814 #1367) +#1379 := (and #275 #280 #283 #663 #666 #749 #752 #797 #813 #1367) +#1396 := (or #1379 #1391) +#1402 := (and #663 #666 #722 #1396) +#1274 := (and #1106 #1107) +#1277 := (not #1274) +#1293 := (or #1277 #1288) +#1296 := (not #1293) +#1085 := (not #1084) +#1265 := (and #1085 #1086) +#1268 := (not #1265) +#1271 := (or #1262 #1268) +#1299 := (and #1271 #1296) +#1075 := (not #689) +#1078 := (forall (vars (?x4 int)) #1075) +#1302 := (or #1078 #1299) +#1308 := (and #174 #177 #180 #663 #666 #719 #1302) +#1407 := (or #1308 #1402) +#1413 := (and #171 #656 #663 #666 #930 #1407) +#1043 := (not #1042) +#1235 := (and #1043 #1044) +#1238 := (not #1235) +#1244 := (or #1041 #1238) +#1249 := (not #1244) +#1418 := (or #1249 #1413) +#1720 := (iff #1418 #1717) +#1540 := (or #1105 #1525 #1288) +#1552 := (or #1551 #1540) +#1553 := (not #1552) +#1558 := (or #1502 #1553) +#1565 := (not #1558) +#1566 := (or #236 #227 #218 #1564 #810 #722 #1565) +#1567 := (not #1566) +#1664 := (or #1567 #1659) +#1672 := (not #1664) +#1673 := (or #523 #1564 #810 #1670 #1671 #1672) +#1674 := (not #1673) +#1679 := (or #1432 #1674) +#1718 := (iff #1679 #1717) +#1715 := (iff #1674 #1714) +#1712 := (iff #1673 #1711) +#1709 := (iff #1672 #1708) +#1706 := (iff #1664 #1703) +#1700 := (or #1697 #1659) +#1704 := (iff #1700 #1703) +#1705 := [rewrite]: #1704 +#1701 := (iff #1664 #1700) +#1698 := (iff #1567 #1697) +#1695 := (iff #1566 #1694) +#1692 := (iff #1565 #1691) +#1689 := (iff #1558 #1688) +#1686 := (iff #1553 #1685) +#1683 := (iff #1552 #1682) +#1684 := [rewrite]: #1683 +#1687 := [monotonicity #1684]: #1686 +#1690 := [monotonicity #1687]: #1689 +#1693 := [monotonicity #1690]: #1692 +#1696 := [monotonicity #1693]: #1695 +#1699 := [monotonicity #1696]: #1698 +#1702 := [monotonicity #1699]: #1701 +#1707 := [trans #1702 #1705]: #1706 +#1710 := [monotonicity #1707]: #1709 +#1713 := [monotonicity #1710]: #1712 +#1716 := [monotonicity #1713]: #1715 +#1719 := [monotonicity #1716]: #1718 +#1680 := (iff #1418 #1679) +#1677 := (iff #1413 #1674) +#1667 := (and #171 #1455 #663 #666 #1477 #1664) +#1675 := (iff #1667 #1674) +#1676 := [rewrite]: #1675 +#1668 := (iff #1413 #1667) +#1665 := (iff #1407 #1664) +#1662 := (iff #1402 #1659) +#1654 := (and #663 #666 #722 #1651) +#1660 := (iff #1654 #1659) +#1661 := [rewrite]: #1660 +#1655 := (iff #1402 #1654) +#1652 := (iff #1396 #1651) +#1649 := (iff #1391 #1646) +#1642 := (and #418 #421 #663 #666 #749 #752 #797 #814 #1627) +#1647 := (iff #1642 #1646) +#1648 := [rewrite]: #1647 +#1643 := (iff #1391 #1642) +#1628 := (iff #1367 #1627) +#1625 := (iff #1361 #1624) +#1622 := (iff #1358 #1619) +#1605 := (or #1604 #1331) +#1616 := (or #1605 #1353) +#1620 := (iff #1616 #1619) +#1621 := [rewrite]: #1620 +#1617 := (iff #1358 #1616) +#1614 := (iff #1342 #1605) +#1606 := (not #1605) +#1609 := (not #1606) +#1612 := (iff #1609 #1605) +#1613 := [rewrite]: #1612 +#1610 := (iff #1342 #1609) +#1607 := (iff #1339 #1606) +#1608 := [rewrite]: #1607 +#1611 := [monotonicity #1608]: #1610 +#1615 := [trans #1611 #1613]: #1614 +#1618 := [monotonicity #1615]: #1617 +#1623 := [trans #1618 #1621]: #1622 +#1626 := [monotonicity #1623]: #1625 +#1602 := (iff #1174 #1599) +#1594 := (and #1164 #1591) +#1600 := (iff #1594 #1599) +#1601 := [rewrite]: #1600 +#1595 := (iff #1174 #1594) +#1592 := (iff #780 #1591) +#1589 := (iff #777 #1586) +#1572 := (or #1435 #760) +#1583 := (or #1572 #774) +#1587 := (iff #1583 #1586) +#1588 := [rewrite]: #1587 +#1584 := (iff #777 #1583) +#1581 := (iff #769 #1572) +#1573 := (not #1572) +#1576 := (not #1573) +#1579 := (iff #1576 #1572) +#1580 := [rewrite]: #1579 +#1577 := (iff #769 #1576) +#1574 := (iff #766 #1573) +#1575 := [rewrite]: #1574 +#1578 := [monotonicity #1575]: #1577 +#1582 := [trans #1578 #1580]: #1581 +#1585 := [monotonicity #1582]: #1584 +#1590 := [trans #1585 #1588]: #1589 +#1593 := [quant-intro #1590]: #1592 +#1596 := [monotonicity #1593]: #1595 +#1603 := [trans #1596 #1601]: #1602 +#1629 := [monotonicity #1603 #1626]: #1628 +#1644 := [monotonicity #1629]: #1643 +#1650 := [trans #1644 #1648]: #1649 +#1640 := (iff #1379 #1637) +#1630 := (and #275 #280 #283 #663 #666 #749 #752 #797 #813 #1627) +#1638 := (iff #1630 #1637) +#1639 := [rewrite]: #1638 +#1631 := (iff #1379 #1630) +#1632 := [monotonicity #1629]: #1631 +#1641 := [trans #1632 #1639]: #1640 +#1653 := [monotonicity #1641 #1650]: #1652 +#1656 := [monotonicity #1653]: #1655 +#1663 := [trans #1656 #1661]: #1662 +#1570 := (iff #1308 #1567) +#1561 := (and #174 #177 #180 #663 #666 #719 #1558) +#1568 := (iff #1561 #1567) +#1569 := [rewrite]: #1568 +#1562 := (iff #1308 #1561) +#1559 := (iff #1302 #1558) +#1556 := (iff #1299 #1553) +#1545 := (not #1540) +#1548 := (and #1520 #1545) +#1554 := (iff #1548 #1553) +#1555 := [rewrite]: #1554 +#1549 := (iff #1299 #1548) +#1546 := (iff #1296 #1545) +#1543 := (iff #1293 #1540) +#1526 := (or #1105 #1525) +#1537 := (or #1526 #1288) +#1541 := (iff #1537 #1540) +#1542 := [rewrite]: #1541 +#1538 := (iff #1293 #1537) +#1535 := (iff #1277 #1526) +#1527 := (not #1526) +#1530 := (not #1527) +#1533 := (iff #1530 #1526) +#1534 := [rewrite]: #1533 +#1531 := (iff #1277 #1530) +#1528 := (iff #1274 #1527) +#1529 := [rewrite]: #1528 +#1532 := [monotonicity #1529]: #1531 +#1536 := [trans #1532 #1534]: #1535 +#1539 := [monotonicity #1536]: #1538 +#1544 := [trans #1539 #1542]: #1543 +#1547 := [monotonicity #1544]: #1546 +#1523 := (iff #1271 #1520) +#1506 := (or #1084 #1505) +#1517 := (or #1262 #1506) +#1521 := (iff #1517 #1520) +#1522 := [rewrite]: #1521 +#1518 := (iff #1271 #1517) +#1515 := (iff #1268 #1506) +#1507 := (not #1506) +#1510 := (not #1507) +#1513 := (iff #1510 #1506) +#1514 := [rewrite]: #1513 +#1511 := (iff #1268 #1510) +#1508 := (iff #1265 #1507) +#1509 := [rewrite]: #1508 +#1512 := [monotonicity #1509]: #1511 +#1516 := [trans #1512 #1514]: #1515 +#1519 := [monotonicity #1516]: #1518 +#1524 := [trans #1519 #1522]: #1523 +#1550 := [monotonicity #1524 #1547]: #1549 +#1557 := [trans #1550 #1555]: #1556 +#1503 := (iff #1078 #1502) +#1500 := (iff #1075 #1499) +#1497 := (iff #689 #1494) +#1480 := (or #1435 #676) +#1491 := (or #47 #1480) +#1495 := (iff #1491 #1494) +#1496 := [rewrite]: #1495 +#1492 := (iff #689 #1491) +#1489 := (iff #683 #1480) +#1481 := (not #1480) +#1484 := (not #1481) +#1487 := (iff #1484 #1480) +#1488 := [rewrite]: #1487 +#1485 := (iff #683 #1484) +#1482 := (iff #680 #1481) +#1483 := [rewrite]: #1482 +#1486 := [monotonicity #1483]: #1485 +#1490 := [trans #1486 #1488]: #1489 +#1493 := [monotonicity #1490]: #1492 +#1498 := [trans #1493 #1496]: #1497 +#1501 := [monotonicity #1498]: #1500 +#1504 := [quant-intro #1501]: #1503 +#1560 := [monotonicity #1504 #1557]: #1559 +#1563 := [monotonicity #1560]: #1562 +#1571 := [trans #1563 #1569]: #1570 +#1666 := [monotonicity #1571 #1663]: #1665 +#1478 := (iff #930 #1477) +#1475 := (iff #927 #1472) +#1458 := (or #1435 #911) +#1469 := (or #1458 #924) +#1473 := (iff #1469 #1472) +#1474 := [rewrite]: #1473 +#1470 := (iff #927 #1469) +#1467 := (iff #919 #1458) +#1459 := (not #1458) +#1462 := (not #1459) +#1465 := (iff #1462 #1458) +#1466 := [rewrite]: #1465 +#1463 := (iff #919 #1462) +#1460 := (iff #916 #1459) +#1461 := [rewrite]: #1460 +#1464 := [monotonicity #1461]: #1463 +#1468 := [trans #1464 #1466]: #1467 +#1471 := [monotonicity #1468]: #1470 +#1476 := [trans #1471 #1474]: #1475 +#1479 := [quant-intro #1476]: #1478 +#1456 := (iff #656 #1455) +#1453 := (iff #653 #1450) +#1436 := (or #1435 #639) +#1447 := (or #1436 #649) +#1451 := (iff #1447 #1450) +#1452 := [rewrite]: #1451 +#1448 := (iff #653 #1447) +#1445 := (iff #644 #1436) +#1437 := (not #1436) +#1440 := (not #1437) +#1443 := (iff #1440 #1436) +#1444 := [rewrite]: #1443 +#1441 := (iff #644 #1440) +#1438 := (iff #641 #1437) +#1439 := [rewrite]: #1438 +#1442 := [monotonicity #1439]: #1441 +#1446 := [trans #1442 #1444]: #1445 +#1449 := [monotonicity #1446]: #1448 +#1454 := [trans #1449 #1452]: #1453 +#1457 := [quant-intro #1454]: #1456 +#1669 := [monotonicity #1457 #1479 #1666]: #1668 +#1678 := [trans #1669 #1676]: #1677 +#1433 := (iff #1249 #1432) +#1430 := (iff #1244 #1427) +#1095 := (or #1042 #1094) +#1424 := (or #1041 #1095) +#1428 := (iff #1424 #1427) +#1429 := [rewrite]: #1428 +#1425 := (iff #1244 #1424) +#1422 := (iff #1238 #1095) +#1162 := (not #1095) +#1052 := (not #1162) +#1234 := (iff #1052 #1095) +#1421 := [rewrite]: #1234 +#1115 := (iff #1238 #1052) +#1163 := (iff #1235 #1162) +#1051 := [rewrite]: #1163 +#1116 := [monotonicity #1051]: #1115 +#1423 := [trans #1116 #1421]: #1422 +#1426 := [monotonicity #1423]: #1425 +#1431 := [trans #1426 #1429]: #1430 +#1434 := [monotonicity #1431]: #1433 +#1681 := [monotonicity #1434 #1678]: #1680 +#1721 := [trans #1681 #1719]: #1720 +#1185 := (not #807) +#1182 := (not #801) +#1150 := (+ #1149 #772) +#1151 := (<= #1150 0::int) +#1152 := (+ ?x7!3 #761) +#1153 := (>= #1152 0::int) +#1154 := (not #1153) +#1156 := (and #1155 #1154) +#1157 := (not #1156) +#1158 := (or #1157 #1151) +#1159 := (not #1158) +#1178 := (or #1159 #1174) +#1145 := (not #757) +#1063 := (not #671) +#1197 := (not #427) +#1194 := (not #436) +#1202 := (and #1194 #1197 #1063 #1145 #1178 #1182 #1185 #819) +#1142 := (not #810) +#1139 := (not #361) +#1136 := (not #370) +#1133 := (not #388) +#1190 := (and #1133 #1136 #1139 #1142 #1063 #1145 #1178 #1182 #1185 #813) +#1206 := (or #1190 #1202) +#1210 := (and #1063 #722 #1206) +#1101 := (+ #1100 #700) +#1102 := (<= #1101 0::int) +#1108 := (and #1107 #1106) +#1109 := (not #1108) +#1110 := (or #1109 #1102) +#1111 := (not #1110) +#1087 := (and #1086 #1085) +#1088 := (not #1087) +#1090 := (= #1089 uf_8) +#1091 := (or #1090 #1088) +#1117 := (and #1091 #1111) +#1121 := (or #1078 #1117) +#1072 := (not #218) +#1069 := (not #227) +#1066 := (not #236) +#1127 := (and #1066 #1069 #1072 #1063 #1121 #887) +#1214 := (or #1127 #1210) +#1053 := (not #523) +#1225 := (and #1053 #656 #1063 #1214 #930) +#1045 := (and #1044 #1043) +#1046 := (not #1045) +#1047 := (or #1046 #1041) +#1048 := (not #1047) +#1229 := (or #1048 #1225) +#1419 := (iff #1229 #1418) +#1416 := (iff #1225 #1413) +#1410 := (and #171 #656 #668 #1407 #930) +#1414 := (iff #1410 #1413) +#1415 := [rewrite]: #1414 +#1411 := (iff #1225 #1410) +#1408 := (iff #1214 #1407) +#1405 := (iff #1210 #1402) +#1399 := (and #668 #722 #1396) +#1403 := (iff #1399 #1402) +#1404 := [rewrite]: #1403 +#1400 := (iff #1210 #1399) +#1397 := (iff #1206 #1396) +#1394 := (iff #1202 #1391) +#1388 := (and #418 #421 #668 #754 #1367 #797 #804 #814) +#1392 := (iff #1388 #1391) +#1393 := [rewrite]: #1392 +#1389 := (iff #1202 #1388) +#1374 := (iff #1185 #804) +#1375 := [rewrite]: #1374 +#1372 := (iff #1182 #797) +#1373 := [rewrite]: #1372 +#1370 := (iff #1178 #1367) +#1364 := (or #1361 #1174) +#1368 := (iff #1364 #1367) +#1369 := [rewrite]: #1368 +#1365 := (iff #1178 #1364) +#1362 := (iff #1159 #1361) +#1359 := (iff #1158 #1358) +#1356 := (iff #1151 #1353) +#1345 := (+ #772 #1149) +#1348 := (<= #1345 0::int) +#1354 := (iff #1348 #1353) +#1355 := [rewrite]: #1354 +#1349 := (iff #1151 #1348) +#1346 := (= #1150 #1345) +#1347 := [rewrite]: #1346 +#1350 := [monotonicity #1347]: #1349 +#1357 := [trans #1350 #1355]: #1356 +#1343 := (iff #1157 #1342) +#1340 := (iff #1156 #1339) +#1337 := (iff #1154 #1336) +#1334 := (iff #1153 #1331) +#1323 := (+ #761 ?x7!3) +#1326 := (>= #1323 0::int) +#1332 := (iff #1326 #1331) +#1333 := [rewrite]: #1332 +#1327 := (iff #1153 #1326) +#1324 := (= #1152 #1323) +#1325 := [rewrite]: #1324 +#1328 := [monotonicity #1325]: #1327 +#1335 := [trans #1328 #1333]: #1334 +#1338 := [monotonicity #1335]: #1337 +#1341 := [monotonicity #1338]: #1340 +#1344 := [monotonicity #1341]: #1343 +#1360 := [monotonicity #1344 #1357]: #1359 +#1363 := [monotonicity #1360]: #1362 +#1366 := [monotonicity #1363]: #1365 +#1371 := [trans #1366 #1369]: #1370 +#1321 := (iff #1145 #754) +#1322 := [rewrite]: #1321 +#1254 := (iff #1063 #668) +#1255 := [rewrite]: #1254 +#1386 := (iff #1197 #421) +#1387 := [rewrite]: #1386 +#1384 := (iff #1194 #418) +#1385 := [rewrite]: #1384 +#1390 := [monotonicity #1385 #1387 #1255 #1322 #1371 #1373 #1375 #823]: #1389 +#1395 := [trans #1390 #1393]: #1394 +#1382 := (iff #1190 #1379) +#1376 := (and #275 #280 #283 #666 #668 #754 #1367 #797 #804 #813) +#1380 := (iff #1376 #1379) +#1381 := [rewrite]: #1380 +#1377 := (iff #1190 #1376) +#1319 := (iff #1142 #666) +#1320 := [rewrite]: #1319 +#1317 := (iff #1139 #283) +#1318 := [rewrite]: #1317 +#1315 := (iff #1136 #280) +#1316 := [rewrite]: #1315 +#1313 := (iff #1133 #275) +#1314 := [rewrite]: #1313 +#1378 := [monotonicity #1314 #1316 #1318 #1320 #1255 #1322 #1371 #1373 #1375]: #1377 +#1383 := [trans #1378 #1381]: #1382 +#1398 := [monotonicity #1383 #1395]: #1397 +#1401 := [monotonicity #1255 #1398]: #1400 +#1406 := [trans #1401 #1404]: #1405 +#1311 := (iff #1127 #1308) +#1305 := (and #174 #177 #180 #668 #1302 #719) +#1309 := (iff #1305 #1308) +#1310 := [rewrite]: #1309 +#1306 := (iff #1127 #1305) +#1303 := (iff #1121 #1302) +#1300 := (iff #1117 #1299) +#1297 := (iff #1111 #1296) +#1294 := (iff #1110 #1293) +#1291 := (iff #1102 #1288) +#1280 := (+ #700 #1100) +#1283 := (<= #1280 0::int) +#1289 := (iff #1283 #1288) +#1290 := [rewrite]: #1289 +#1284 := (iff #1102 #1283) +#1281 := (= #1101 #1280) +#1282 := [rewrite]: #1281 +#1285 := [monotonicity #1282]: #1284 +#1292 := [trans #1285 #1290]: #1291 +#1278 := (iff #1109 #1277) +#1275 := (iff #1108 #1274) +#1276 := [rewrite]: #1275 +#1279 := [monotonicity #1276]: #1278 +#1295 := [monotonicity #1279 #1292]: #1294 +#1298 := [monotonicity #1295]: #1297 +#1272 := (iff #1091 #1271) +#1269 := (iff #1088 #1268) +#1266 := (iff #1087 #1265) +#1267 := [rewrite]: #1266 +#1270 := [monotonicity #1267]: #1269 +#1263 := (iff #1090 #1262) +#1264 := [rewrite]: #1263 +#1273 := [monotonicity #1264 #1270]: #1272 +#1301 := [monotonicity #1273 #1298]: #1300 +#1304 := [monotonicity #1301]: #1303 +#1260 := (iff #1072 #180) +#1261 := [rewrite]: #1260 +#1258 := (iff #1069 #177) +#1259 := [rewrite]: #1258 +#1256 := (iff #1066 #174) +#1257 := [rewrite]: #1256 +#1307 := [monotonicity #1257 #1259 #1261 #1255 #1304 #891]: #1306 +#1312 := [trans #1307 #1310]: #1311 +#1409 := [monotonicity #1312 #1406]: #1408 +#1252 := (iff #1053 #171) +#1253 := [rewrite]: #1252 +#1412 := [monotonicity #1253 #1255 #1409]: #1411 +#1417 := [trans #1412 #1415]: #1416 +#1250 := (iff #1048 #1249) +#1247 := (iff #1047 #1244) +#1241 := (or #1238 #1041) +#1245 := (iff #1241 #1244) +#1246 := [rewrite]: #1245 +#1242 := (iff #1047 #1241) +#1239 := (iff #1046 #1238) +#1236 := (iff #1045 #1235) +#1237 := [rewrite]: #1236 +#1240 := [monotonicity #1237]: #1239 +#1243 := [monotonicity #1240]: #1242 +#1248 := [trans #1243 #1246]: #1247 +#1251 := [monotonicity #1248]: #1250 +#1420 := [monotonicity #1251 #1417]: #1419 +#1025 := (or #523 #659 #671 #908 #933) +#1030 := (and #656 #1025) +#1033 := (not #1030) +#1230 := (~ #1033 #1229) +#1226 := (not #1025) +#1227 := (~ #1226 #1225) +#1222 := (not #933) +#1223 := (~ #1222 #930) +#1220 := (~ #930 #930) +#1218 := (~ #927 #927) +#1219 := [refl]: #1218 +#1221 := [nnf-pos #1219]: #1220 +#1224 := [nnf-neg #1221]: #1223 +#1215 := (not #908) +#1216 := (~ #1215 #1214) +#1211 := (not #903) +#1212 := (~ #1211 #1210) +#1207 := (not #882) +#1208 := (~ #1207 #1206) +#1203 := (not #877) +#1204 := (~ #1203 #1202) +#1200 := (~ #819 #819) +#1201 := [refl]: #1200 +#1186 := (~ #1185 #1185) +#1187 := [refl]: #1186 +#1183 := (~ #1182 #1182) +#1184 := [refl]: #1183 +#1179 := (not #794) +#1180 := (~ #1179 #1178) +#1175 := (not #789) +#1176 := (~ #1175 #1174) +#1171 := (not #783) +#1172 := (~ #1171 #780) +#1169 := (~ #780 #780) +#1167 := (~ #777 #777) +#1168 := [refl]: #1167 +#1170 := [nnf-pos #1168]: #1169 +#1173 := [nnf-neg #1170]: #1172 +#1165 := (~ #1164 #1164) +#1166 := [refl]: #1165 +#1177 := [nnf-neg #1166 #1173]: #1176 +#1160 := (~ #783 #1159) +#1161 := [sk]: #1160 +#1181 := [nnf-neg #1161 #1177]: #1180 +#1146 := (~ #1145 #1145) +#1147 := [refl]: #1146 +#1064 := (~ #1063 #1063) +#1065 := [refl]: #1064 +#1198 := (~ #1197 #1197) +#1199 := [refl]: #1198 +#1195 := (~ #1194 #1194) +#1196 := [refl]: #1195 +#1205 := [nnf-neg #1196 #1199 #1065 #1147 #1181 #1184 #1187 #1201]: #1204 +#1191 := (not #853) +#1192 := (~ #1191 #1190) +#1188 := (~ #813 #813) +#1189 := [refl]: #1188 +#1143 := (~ #1142 #1142) +#1144 := [refl]: #1143 +#1140 := (~ #1139 #1139) +#1141 := [refl]: #1140 +#1137 := (~ #1136 #1136) +#1138 := [refl]: #1137 +#1134 := (~ #1133 #1133) +#1135 := [refl]: #1134 +#1193 := [nnf-neg #1135 #1138 #1141 #1144 #1065 #1147 #1181 #1184 #1187 #1189]: #1192 +#1209 := [nnf-neg #1193 #1205]: #1208 +#1131 := (~ #722 #722) +#1132 := [refl]: #1131 +#1213 := [nnf-neg #1065 #1132 #1209]: #1212 +#1128 := (not #743) +#1129 := (~ #1128 #1127) +#1125 := (~ #887 #887) +#1126 := [refl]: #1125 +#1122 := (not #714) +#1123 := (~ #1122 #1121) +#1118 := (not #711) +#1119 := (~ #1118 #1117) +#1112 := (not #708) +#1113 := (~ #1112 #1111) +#1114 := [sk]: #1113 +#1096 := (not #697) +#1097 := (~ #1096 #1091) +#1092 := (~ #694 #1091) +#1093 := [sk]: #1092 +#1098 := [nnf-neg #1093]: #1097 +#1120 := [nnf-neg #1098 #1114]: #1119 +#1079 := (~ #697 #1078) +#1076 := (~ #1075 #1075) +#1077 := [refl]: #1076 +#1080 := [nnf-neg #1077]: #1079 +#1124 := [nnf-neg #1080 #1120]: #1123 +#1073 := (~ #1072 #1072) +#1074 := [refl]: #1073 +#1070 := (~ #1069 #1069) +#1071 := [refl]: #1070 +#1067 := (~ #1066 #1066) +#1068 := [refl]: #1067 +#1130 := [nnf-neg #1068 #1071 #1074 #1065 #1124 #1126]: #1129 +#1217 := [nnf-neg #1130 #1213]: #1216 +#1060 := (not #659) +#1061 := (~ #1060 #656) +#1058 := (~ #656 #656) +#1056 := (~ #653 #653) +#1057 := [refl]: #1056 +#1059 := [nnf-pos #1057]: #1058 +#1062 := [nnf-neg #1059]: #1061 +#1054 := (~ #1053 #1053) +#1055 := [refl]: #1054 +#1228 := [nnf-neg #1055 #1062 #1065 #1217 #1224]: #1227 +#1049 := (~ #659 #1048) +#1050 := [sk]: #1049 +#1231 := [nnf-neg #1050 #1228]: #1230 +#997 := (not #962) +#1034 := (iff #997 #1033) +#1031 := (iff #962 #1030) +#1028 := (iff #959 #1025) +#1010 := (or #523 #671 #908 #933) +#1022 := (or #659 #1010) +#1026 := (iff #1022 #1025) +#1027 := [rewrite]: #1026 +#1023 := (iff #959 #1022) +#1020 := (iff #956 #1010) +#1015 := (and true #1010) +#1018 := (iff #1015 #1010) +#1019 := [rewrite]: #1018 +#1016 := (iff #956 #1015) +#1013 := (iff #951 #1010) +#1007 := (or false #523 #671 #908 #933) +#1011 := (iff #1007 #1010) +#1012 := [rewrite]: #1011 +#1008 := (iff #951 #1007) +#1005 := (iff #556 false) +#1003 := (iff #556 #627) +#1002 := (iff #9 true) +#1000 := [iff-true #996]: #1002 +#1004 := [monotonicity #1000]: #1003 +#1006 := [trans #1004 #631]: #1005 +#1009 := [monotonicity #1006]: #1008 +#1014 := [trans #1009 #1012]: #1013 +#1017 := [monotonicity #1000 #1014]: #1016 +#1021 := [trans #1017 #1019]: #1020 +#1024 := [monotonicity #1021]: #1023 +#1029 := [trans #1024 #1027]: #1028 +#1032 := [monotonicity #1029]: #1031 +#1035 := [monotonicity #1032]: #1034 +#998 := [not-or-elim #995]: #997 +#1036 := [mp #998 #1035]: #1033 +#1232 := [mp~ #1036 #1231]: #1229 +#1233 := [mp #1232 #1420]: #1418 +#1722 := [mp #1233 #1721]: #1717 +#2287 := [mp #1722 #2286]: #2284 +#1936 := [unit-resolution #2287 #2647]: #1432 +#1865 := (or #1427 #1780) +#1781 := [def-axiom]: #1865 +#2047 := [unit-resolution #1781 #1936]: #1780 +#2062 := (+ #8 #1037) +#2041 := (>= #2062 0::int) +#2067 := (= #8 #1040) +#2045 := (= #1040 #8) +#2040 := (= ?x1!0 0::int) +#1866 := (or #1427 #1043) +#1867 := [def-axiom]: #1866 +#2048 := [unit-resolution #1867 #1936]: #1043 +#1858 := (or #1427 #1044) +#1869 := [def-axiom]: #1858 +#2049 := [unit-resolution #1869 #1936]: #1044 +#2046 := [th-lemma #2049 #2048]: #2040 +#2014 := [monotonicity #2046]: #2045 +#2021 := [symm #2014]: #2067 +#1980 := (not #2067) +#2011 := (or #1980 #2041) +#2013 := [th-lemma]: #2011 +#2015 := [unit-resolution #2013 #2021]: #2041 +[th-lemma #2015 #2047 #2043]: false unsat diff -r 69eddb55588e -r 6ab14241ae04 src/HOL/Boogie/Examples/cert/VCC_maximum --- a/src/HOL/Boogie/Examples/cert/VCC_maximum Wed Dec 23 17:36:26 2009 +0100 +++ b/src/HOL/Boogie/Examples/cert/VCC_maximum Wed Dec 23 17:37:42 2009 +0100 @@ -687,6 +687,6 @@ :assumption (distinct uf_282) :assumption (distinct uf_42) :assumption (distinct uf_263 uf_14 uf_262 uf_261) -:assumption (not (implies (and (and (<= 0 uf_283) (<= uf_283 uf_78)) (and (and (<= 0 uf_284) (<= uf_284 uf_76)) (and (and (<= 0 uf_285) (<= uf_285 uf_76)) (and (< uf_286 1099511627776) (and (< 0 uf_286) (and (and (= (uf_27 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288)))) uf_9) (and (= (uf_25 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288)))) uf_26) (and (= (uf_48 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) (uf_124 uf_7 uf_286)) uf_9) (and (= (uf_24 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288)))) uf_9) (and (not (= (uf_12 (uf_124 uf_7 uf_286)) uf_14)) (= (uf_23 (uf_124 uf_7 uf_286)) uf_9)))))) (and (= (uf_203 uf_287) uf_9) (and (and (= (uf_202 uf_281 uf_287) uf_9) (= (uf_55 uf_287) uf_9)) (and (forall (?x771 T19) (< (uf_289 ?x771) uf_290) :pat { (uf_289 ?x771) }) (and (and (up_291 uf_287 uf_281 uf_280 (uf_29 (uf_43 uf_7 uf_288)) (uf_6 uf_7)) (up_292 uf_287 uf_281 uf_280 (uf_43 uf_7 uf_288) (uf_6 uf_7))) (and (up_291 uf_287 uf_281 uf_279 uf_286 uf_4) (and (= uf_293 (uf_173 uf_287)) (and (forall (?x772 T5) (iff (= (uf_294 uf_293 ?x772) uf_9) false) :pat { (uf_294 uf_293 ?x772) }) (and (<= 0 uf_286) (<= uf_286 uf_76))))))))))))))) (and (= (uf_200 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) uf_282) uf_9) (implies (= (uf_200 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) uf_282) uf_9) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (implies (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (and (= uf_295 (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7))) (and (up_291 uf_287 uf_278 uf_277 uf_295 uf_7) (and (up_291 uf_287 uf_276 uf_275 0 uf_4) (and (up_291 uf_287 uf_274 uf_273 1 uf_4) (and (<= 1 1) (and (<= 1 1) (and (<= 0 0) (<= 0 0))))))))) (and (<= 1 uf_286) (implies (<= 1 uf_286) (and (forall (?x773 Int) (implies (and (and (<= 0 ?x773) (<= ?x773 uf_76)) (< ?x773 1)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x773 uf_7)) uf_295))) (implies (forall (?x774 Int) (implies (and (and (<= 0 ?x774) (<= ?x774 uf_76)) (< ?x774 1)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x774 uf_7)) uf_295))) (and (and (< 0 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_295)) (implies (and (and (< 0 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_295)) (and (and (<= 0 uf_296) (<= uf_296 uf_78)) (and (and (<= 0 uf_297) (<= uf_297 uf_76)) (and (and (<= 0 uf_298) (<= uf_298 uf_76)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= uf_298 uf_286) (and (forall (?x775 Int) (implies (and (and (<= 0 ?x775) (<= ?x775 uf_76)) (< ?x775 uf_298)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x775 uf_7)) uf_296))) (and (and (< uf_297 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_297 uf_7)) uf_296)) (and (<= 1 uf_298) (<= 0 uf_297)))))))))) (and (implies (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (not true) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (= (uf_202 uf_272 uf_287) uf_9) (= (uf_55 uf_287) uf_9)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= 1 uf_298) (<= 0 uf_297)))))))) (and up_216 (implies (and up_216 (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (= uf_299 uf_296) (and (= uf_300 uf_298) (and (= uf_301 uf_297) (= uf_302 uf_296)))))))) (and (forall (?x776 Int) (implies (and (and (<= 0 ?x776) (<= ?x776 uf_76)) (< ?x776 uf_286)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x776 uf_7)) uf_302))) (implies (forall (?x777 Int) (implies (and (and (<= 0 ?x777) (<= ?x777 uf_76)) (< ?x777 uf_286)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x777 uf_7)) uf_302))) (exists (?x778 Int) (and (<= 0 ?x778) (and (<= ?x778 uf_76) (and (< ?x778 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x778 uf_7)) uf_302)))))))))) (implies (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (forall (?x779 T5) (implies (not (= (uf_12 (uf_13 (uf_25 uf_287 ?x779))) uf_261)) (not (= (uf_12 (uf_13 (uf_25 uf_287 ?x779))) uf_261))) :pat { (uf_40 (uf_41 uf_287) ?x779) }) (and (forall (?x780 T5) (implies (= (uf_68 uf_287 ?x780) uf_9) (and (= (uf_19 (uf_20 uf_287) ?x780) (uf_19 (uf_20 uf_287) ?x780)) (= (uf_68 uf_287 ?x780) uf_9))) :pat { (uf_19 (uf_20 uf_287) ?x780) }) (and (forall (?x781 T5) (implies (= (uf_68 uf_287 ?x781) uf_9) (and (= (uf_40 (uf_41 uf_287) ?x781) (uf_40 (uf_41 uf_287) ?x781)) (= (uf_68 uf_287 ?x781) uf_9))) :pat { (uf_40 (uf_41 uf_287) ?x781) }) (and (forall (?x782 T5) (implies (= (uf_68 uf_287 ?x782) uf_9) (and (= (uf_58 (uf_59 uf_287) ?x782) (uf_58 (uf_59 uf_287) ?x782)) (= (uf_68 uf_287 ?x782) uf_9))) :pat { (uf_58 (uf_59 uf_287) ?x782) }) (and (<= (uf_173 uf_287) (uf_173 uf_287)) (and (forall (?x783 T5) (<= (uf_172 uf_287 ?x783) (uf_172 uf_287 ?x783)) :pat { (uf_172 uf_287 ?x783) }) (= (uf_178 uf_287 uf_287) uf_9))))))) (and (and (<= (uf_173 uf_287) (uf_173 uf_287)) (and (forall (?x784 T5) (<= (uf_172 uf_287 ?x784) (uf_172 uf_287 ?x784)) :pat { (uf_172 uf_287 ?x784) }) (= (uf_178 uf_287 uf_287) uf_9))) (and (and (= (uf_202 uf_272 uf_287) uf_9) (= (uf_55 uf_287) uf_9)) (and (up_291 uf_287 uf_272 uf_273 uf_298 uf_4) (and (up_291 uf_287 uf_272 uf_275 uf_297 uf_4) (and (up_291 uf_287 uf_272 uf_277 uf_296 uf_7) (and (up_291 uf_287 uf_272 uf_279 uf_286 uf_4) (and (and (up_291 uf_287 uf_272 uf_280 (uf_29 (uf_43 uf_7 uf_288)) (uf_6 uf_7)) (up_292 uf_287 uf_272 uf_280 (uf_43 uf_7 uf_288) (uf_6 uf_7))) (and (and (= (uf_59 uf_287) (uf_59 uf_287)) (= (uf_41 uf_287) (uf_41 uf_287))) (and (<= 1 uf_298) (<= 0 uf_297)))))))))))))) (and (implies (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (< uf_298 uf_286) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= 1 uf_298) (<= 0 uf_297))))) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (and (<= 1 uf_298) (<= 0 uf_297))) (and (implies (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (< uf_296 (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7))) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= 1 uf_298) (<= 0 uf_297))))) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (and (= uf_303 (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7))) (and (up_291 uf_287 uf_271 uf_277 uf_303 uf_7) (and (up_291 uf_287 uf_270 uf_275 uf_298 uf_4) (and (and (<= 1 uf_298) (<= 1 uf_298)) (and (= uf_304 uf_303) (and (= uf_305 uf_298) (and (<= 1 uf_298) (<= 0 uf_305))))))))) (and (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (implies (and (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (and (= uf_306 (+ uf_298 1)) (and (up_291 uf_287 uf_269 uf_273 uf_306 uf_4) (and (<= 2 uf_306) (<= 0 uf_305))))) (and (<= uf_306 uf_286) (implies (<= uf_306 uf_286) (and (forall (?x785 Int) (implies (and (and (<= 0 ?x785) (<= ?x785 uf_76)) (< ?x785 uf_306)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x785 uf_7)) uf_304))) (implies (forall (?x786 Int) (implies (and (and (<= 0 ?x786) (<= ?x786 uf_76)) (< ?x786 uf_306)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x786 uf_7)) uf_304))) (and (< uf_305 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_305 uf_7)) uf_304))))))))))))) (implies (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_296) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (= uf_304 uf_296) (and (= uf_305 uf_297) (and (<= 1 uf_298) (<= 0 uf_305))))))))) (and (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (implies (and (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (and (= uf_306 (+ uf_298 1)) (and (up_291 uf_287 uf_269 uf_273 uf_306 uf_4) (and (<= 2 uf_306) (<= 0 uf_305))))) (and (<= uf_306 uf_286) (implies (<= uf_306 uf_286) (and (forall (?x787 Int) (implies (and (and (<= 0 ?x787) (<= ?x787 uf_76)) (< ?x787 uf_306)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x787 uf_7)) uf_304))) (implies (forall (?x788 Int) (implies (and (and (<= 0 ?x788) (<= ?x788 uf_76)) (< ?x788 uf_306)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x788 uf_7)) uf_304))) (and (< uf_305 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_305 uf_7)) uf_304))))))))))))))) (implies (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= uf_286 uf_298) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (<= 1 uf_298) (<= 0 uf_297))))))) (and up_216 (implies (and up_216 (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (<= 1 uf_298) (<= 0 uf_297)) (and (= uf_299 uf_296) (and (= uf_300 uf_298) (and (= uf_301 uf_297) (= uf_302 uf_296)))))))) (and (forall (?x789 Int) (implies (and (and (<= 0 ?x789) (<= ?x789 uf_76)) (< ?x789 uf_286)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x789 uf_7)) uf_302))) (implies (forall (?x790 Int) (implies (and (and (<= 0 ?x790) (<= ?x790 uf_76)) (< ?x790 uf_286)) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x790 uf_7)) uf_302))) (exists (?x791 Int) (and (<= 0 ?x791) (and (<= ?x791 uf_76) (and (< ?x791 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x791 uf_7)) uf_302))))))))))))))))))))))))))) +:assumption (not (implies (and (<= 0 uf_283) (<= uf_283 uf_78)) (implies (and (<= 0 uf_284) (<= uf_284 uf_76)) (implies (and (<= 0 uf_285) (<= uf_285 uf_76)) (implies (< uf_286 1099511627776) (implies (< 0 uf_286) (implies (and (= (uf_27 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288)))) uf_9) (and (= (uf_25 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288)))) uf_26) (and (= (uf_48 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) (uf_124 uf_7 uf_286)) uf_9) (and (= (uf_24 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288)))) uf_9) (and (not (= (uf_12 (uf_124 uf_7 uf_286)) uf_14)) (= (uf_23 (uf_124 uf_7 uf_286)) uf_9)))))) (implies (= (uf_203 uf_287) uf_9) (implies (and (= (uf_202 uf_281 uf_287) uf_9) (= (uf_55 uf_287) uf_9)) (implies (forall (?x771 T19) (< (uf_289 ?x771) uf_290) :pat { (uf_289 ?x771) }) (implies (and (up_291 uf_287 uf_281 uf_280 (uf_29 (uf_43 uf_7 uf_288)) (uf_6 uf_7)) (up_292 uf_287 uf_281 uf_280 (uf_43 uf_7 uf_288) (uf_6 uf_7))) (implies (up_291 uf_287 uf_281 uf_279 uf_286 uf_4) (implies (= uf_293 (uf_173 uf_287)) (implies (forall (?x772 T5) (iff (= (uf_294 uf_293 ?x772) uf_9) false) :pat { (uf_294 uf_293 ?x772) }) (implies (and (<= 0 uf_286) (<= uf_286 uf_76)) (and (= (uf_200 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) uf_282) uf_9) (implies (= (uf_200 uf_287 (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) (uf_43 (uf_124 uf_7 uf_286) (uf_116 (uf_43 uf_7 uf_288))) uf_282) uf_9) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_9)) (implies (= uf_295 (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7))) (implies (up_291 uf_287 uf_278 uf_277 uf_295 uf_7) (implies (up_291 uf_287 uf_276 uf_275 0 uf_4) (implies (up_291 uf_287 uf_274 uf_273 1 uf_4) (implies (and (<= 1 1) (and (<= 1 1) (and (<= 0 0) (<= 0 0)))) (and (<= 1 uf_286) (implies (<= 1 uf_286) (and (forall (?x773 Int) (implies (and (<= 0 ?x773) (<= ?x773 uf_76)) (implies (< ?x773 1) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x773 uf_7)) uf_295)))) (implies (forall (?x774 Int) (implies (and (<= 0 ?x774) (<= ?x774 uf_76)) (implies (< ?x774 1) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x774 uf_7)) uf_295)))) (and (and (< 0 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_295)) (implies (and (< 0 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) 0 uf_7)) uf_295)) (implies (and (<= 0 uf_296) (<= uf_296 uf_78)) (implies (and (<= 0 uf_297) (<= uf_297 uf_76)) (implies (and (<= 0 uf_298) (<= uf_298 uf_76)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (<= uf_298 uf_286) (implies (forall (?x775 Int) (implies (and (<= 0 ?x775) (<= ?x775 uf_76)) (implies (< ?x775 uf_298) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x775 uf_7)) uf_296)))) (implies (and (< uf_297 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_297 uf_7)) uf_296)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (not true) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (= (uf_202 uf_272 uf_287) uf_9) (= (uf_55 uf_287) uf_9)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and up_216 (implies up_216 (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (= uf_299 uf_296) (implies (= uf_300 uf_298) (implies (= uf_301 uf_297) (implies (= uf_302 uf_296) (and (forall (?x776 Int) (implies (and (<= 0 ?x776) (<= ?x776 uf_76)) (implies (< ?x776 uf_286) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x776 uf_7)) uf_302)))) (implies (forall (?x777 Int) (implies (and (<= 0 ?x777) (<= ?x777 uf_76)) (implies (< ?x777 uf_286) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x777 uf_7)) uf_302)))) (and (exists (?x778 Int) (and (<= 0 ?x778) (and (<= ?x778 uf_76) (and (< ?x778 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x778 uf_7)) uf_302))))) true))))))))))))))))))) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (forall (?x779 T5) (implies (not (= (uf_12 (uf_13 (uf_25 uf_287 ?x779))) uf_261)) (not (= (uf_12 (uf_13 (uf_25 uf_287 ?x779))) uf_261))) :pat { (uf_40 (uf_41 uf_287) ?x779) }) (and (forall (?x780 T5) (implies (= (uf_68 uf_287 ?x780) uf_9) (and (= (uf_19 (uf_20 uf_287) ?x780) (uf_19 (uf_20 uf_287) ?x780)) (= (uf_68 uf_287 ?x780) uf_9))) :pat { (uf_19 (uf_20 uf_287) ?x780) }) (and (forall (?x781 T5) (implies (= (uf_68 uf_287 ?x781) uf_9) (and (= (uf_40 (uf_41 uf_287) ?x781) (uf_40 (uf_41 uf_287) ?x781)) (= (uf_68 uf_287 ?x781) uf_9))) :pat { (uf_40 (uf_41 uf_287) ?x781) }) (and (forall (?x782 T5) (implies (= (uf_68 uf_287 ?x782) uf_9) (and (= (uf_58 (uf_59 uf_287) ?x782) (uf_58 (uf_59 uf_287) ?x782)) (= (uf_68 uf_287 ?x782) uf_9))) :pat { (uf_58 (uf_59 uf_287) ?x782) }) (and (<= (uf_173 uf_287) (uf_173 uf_287)) (and (forall (?x783 T5) (<= (uf_172 uf_287 ?x783) (uf_172 uf_287 ?x783)) :pat { (uf_172 uf_287 ?x783) }) (= (uf_178 uf_287 uf_287) uf_9))))))) (implies (and (<= (uf_173 uf_287) (uf_173 uf_287)) (and (forall (?x784 T5) (<= (uf_172 uf_287 ?x784) (uf_172 uf_287 ?x784)) :pat { (uf_172 uf_287 ?x784) }) (= (uf_178 uf_287 uf_287) uf_9))) (implies (and (= (uf_202 uf_272 uf_287) uf_9) (= (uf_55 uf_287) uf_9)) (implies (up_291 uf_287 uf_272 uf_273 uf_298 uf_4) (implies (up_291 uf_287 uf_272 uf_275 uf_297 uf_4) (implies (up_291 uf_287 uf_272 uf_277 uf_296 uf_7) (implies (up_291 uf_287 uf_272 uf_279 uf_286 uf_4) (implies (and (up_291 uf_287 uf_272 uf_280 (uf_29 (uf_43 uf_7 uf_288)) (uf_6 uf_7)) (up_292 uf_287 uf_272 uf_280 (uf_43 uf_7 uf_288) (uf_6 uf_7))) (implies (and (= (uf_59 uf_287) (uf_59 uf_287)) (= (uf_41 uf_287) (uf_41 uf_287))) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (< uf_298 uf_286) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (< uf_296 (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7))) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_24 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (and (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (and (= (uf_48 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7) uf_7) uf_9) (= (uf_68 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_9)) (implies (= uf_303 (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7))) (implies (up_291 uf_287 uf_271 uf_277 uf_303 uf_7) (implies (up_291 uf_287 uf_270 uf_275 uf_298 uf_4) (implies (and (<= 1 uf_298) (<= 1 uf_298)) (implies (= uf_304 uf_303) (implies (= uf_305 uf_298) (implies (and (<= 1 uf_298) (<= 0 uf_305)) (and (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (implies (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (implies (= uf_306 (+ uf_298 1)) (implies (up_291 uf_287 uf_269 uf_273 uf_306 uf_4) (implies (and (<= 2 uf_306) (<= 0 uf_305)) (and (<= uf_306 uf_286) (implies (<= uf_306 uf_286) (and (forall (?x785 Int) (implies (and (<= 0 ?x785) (<= ?x785 uf_76)) (implies (< ?x785 uf_306) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x785 uf_7)) uf_304)))) (implies (forall (?x786 Int) (implies (and (<= 0 ?x786) (<= ?x786 uf_76)) (implies (< ?x786 uf_306) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x786 uf_7)) uf_304)))) (and (and (< uf_305 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_305 uf_7)) uf_304)) true))))))))))))))))))))))))) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_298 uf_7)) uf_296) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (= uf_304 uf_296) (implies (= uf_305 uf_297) (implies (and (<= 1 uf_298) (<= 0 uf_305)) (and (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (implies (and (<= 0 (+ uf_298 1)) (<= (+ uf_298 1) uf_76)) (implies (= uf_306 (+ uf_298 1)) (implies (up_291 uf_287 uf_269 uf_273 uf_306 uf_4) (implies (and (<= 2 uf_306) (<= 0 uf_305)) (and (<= uf_306 uf_286) (implies (<= uf_306 uf_286) (and (forall (?x787 Int) (implies (and (<= 0 ?x787) (<= ?x787 uf_76)) (implies (< ?x787 uf_306) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x787 uf_7)) uf_304)))) (implies (forall (?x788 Int) (implies (and (<= 0 ?x788) (<= ?x788 uf_76)) (implies (< ?x788 uf_306) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x788 uf_7)) uf_304)))) (and (and (< uf_305 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) uf_305 uf_7)) uf_304)) true)))))))))))))))))))))))))))) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (<= uf_286 uf_298) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (and up_216 (implies up_216 (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (and (<= 1 uf_298) (<= 0 uf_297)) (implies (= uf_299 uf_296) (implies (= uf_300 uf_298) (implies (= uf_301 uf_297) (implies (= uf_302 uf_296) (and (forall (?x789 Int) (implies (and (<= 0 ?x789) (<= ?x789 uf_76)) (implies (< ?x789 uf_286) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x789 uf_7)) uf_302)))) (implies (forall (?x790 Int) (implies (and (<= 0 ?x790) (<= ?x790 uf_76)) (implies (< ?x790 uf_286) (<= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x790 uf_7)) uf_302)))) (and (exists (?x791 Int) (and (<= 0 ?x791) (and (<= ?x791 uf_76) (and (< ?x791 uf_286) (= (uf_110 uf_287 (uf_66 (uf_43 uf_7 uf_288) ?x791 uf_7)) uf_302))))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :formula true ) diff -r 69eddb55588e -r 6ab14241ae04 src/HOL/Boogie/Examples/cert/VCC_maximum.proof --- a/src/HOL/Boogie/Examples/cert/VCC_maximum.proof Wed Dec 23 17:36:26 2009 +0100 +++ b/src/HOL/Boogie/Examples/cert/VCC_maximum.proof Wed Dec 23 17:37:42 2009 +0100 @@ -1,309 +1,106 @@ #2 := false -decl ?x785!14 :: int -#17756 := ?x785!14 -decl uf_298 :: int -#3087 := uf_298 -#30181 := (= uf_298 ?x785!14) -#121 := 0::int -#4042 := -1::int -#18020 := (* -1::int ?x785!14) -decl uf_306 :: int -#3256 := uf_306 -#18021 := (+ uf_306 #18020) -#18022 := (<= #18021 0::int) decl uf_110 :: (-> T4 T5 int) decl uf_66 :: (-> T5 int T3 T5) decl uf_7 :: T3 #10 := uf_7 +decl ?x785!14 :: int +#18296 := ?x785!14 decl uf_43 :: (-> T3 int T5) decl uf_288 :: int #2978 := uf_288 #2979 := (uf_43 uf_7 uf_288) -#17764 := (uf_66 #2979 ?x785!14 uf_7) +#18301 := (uf_66 #2979 ?x785!14 uf_7) decl uf_287 :: T4 #2976 := uf_287 -#17765 := (uf_110 uf_287 #17764) -#18007 := (* -1::int #17765) +#18302 := (uf_110 uf_287 #18301) +decl uf_298 :: int +#3069 := uf_298 +#3181 := (uf_66 #2979 uf_298 uf_7) +#3190 := (uf_110 uf_287 #3181) +#30497 := (= #3190 #18302) +#30502 := (not #30497) +#121 := 0::int +#4044 := -1::int +#18623 := (* -1::int #18302) +#30501 := (+ #3190 #18623) +#30503 := (>= #30501 0::int) +#30513 := (not #30503) decl uf_304 :: int -#3239 := uf_304 -#18008 := (+ uf_304 #18007) -#18009 := (>= #18008 0::int) -#17761 := (>= ?x785!14 0::int) -#21511 := (not #17761) -#7471 := 4294967295::int -#17757 := (<= ?x785!14 4294967295::int) -#21510 := (not #17757) -#21526 := (or #21510 #21511 #18009 #18022) -#21531 := (not #21526) +#3197 := uf_304 +#13279 := (* -1::int uf_304) +#30155 := (+ #3190 #13279) +#30108 := (<= #30155 0::int) +#30154 := (= #3190 uf_304) +decl uf_303 :: int +#3192 := uf_303 +#12313 := (= uf_303 uf_304) +#18624 := (+ uf_304 #18623) +#18625 := (>= #18624 0::int) +#18610 := (* -1::int ?x785!14) +decl uf_306 :: int +#3207 := uf_306 +#18611 := (+ uf_306 #18610) +#18612 := (<= #18611 0::int) +#18298 := (>= ?x785!14 0::int) +#22078 := (not #18298) +#7473 := 4294967295::int +#18297 := (<= ?x785!14 4294967295::int) +#22077 := (not #18297) +#22093 := (or #22077 #22078 #18612 #18625) +#22098 := (not #22093) #161 := (:var 0 int) -#3072 := (uf_66 #2979 #161 uf_7) -#22468 := (pattern #3072) -#14378 := (<= #161 4294967295::int) -#18695 := (not #14378) -#13112 := (* -1::int uf_304) -#3073 := (uf_110 uf_287 #3072) -#13113 := (+ #3073 #13112) -#13114 := (<= #13113 0::int) -#13062 := (* -1::int uf_306) -#13097 := (+ #161 #13062) -#13096 := (>= #13097 0::int) -#4041 := (>= #161 0::int) -#4963 := (not #4041) -#21492 := (or #4963 #13096 #13114 #18695) -#22485 := (forall (vars (?x785 int)) (:pat #22468) #21492) -#22490 := (not #22485) +#3053 := (uf_66 #2979 #161 uf_7) +#23000 := (pattern #3053) +#14916 := (<= #161 4294967295::int) +#19295 := (not #14916) +#3054 := (uf_110 uf_287 #3053) +#13280 := (+ #3054 #13279) +#13281 := (<= #13280 0::int) +#13260 := (* -1::int uf_306) +#13268 := (+ #161 #13260) +#13267 := (>= #13268 0::int) +#4043 := (>= #161 0::int) +#4965 := (not #4043) +#22059 := (or #4965 #13267 #13281 #19295) +#23017 := (forall (vars (?x785 int)) (:pat #23000) #22059) +#23022 := (not #23017) decl uf_305 :: int -#3241 := uf_305 -#13126 := (* -1::int uf_305) +#3199 := uf_305 +#13301 := (* -1::int uf_305) decl uf_286 :: int #2973 := uf_286 -#13127 := (+ uf_286 #13126) -#13128 := (<= #13127 0::int) -#3271 := (uf_66 #2979 uf_305 uf_7) -#3272 := (uf_110 uf_287 #3271) -#12446 := (= uf_304 #3272) -#21466 := (not #12446) -#21467 := (or #21466 #13128) -#21468 := (not #21467) -#22493 := (or #21468 #22490) -#3220 := (uf_66 #2979 uf_298 uf_7) -#3230 := (uf_110 uf_287 #3220) -#28730 := (= #3230 #3272) -#28979 := (= #3272 #3230) -#29112 := (= #3271 #3220) -decl uf_144 :: (-> T3 T3) -decl uf_124 :: (-> T3 int T3) -#2977 := (uf_124 uf_7 uf_286) -#24108 := (uf_144 #2977) -decl uf_125 :: (-> T5 T5 int) -decl uf_116 :: (-> T5 int) -decl uf_28 :: (-> int T5) -decl uf_29 :: (-> T5 int) -#3013 := (uf_29 #2979) -#23935 := (uf_28 #3013) -#26317 := (uf_116 #23935) -#26333 := (uf_43 #24108 #26317) -decl uf_13 :: (-> T5 T3) -#26868 := (uf_13 #26333) -#27481 := (uf_66 #26333 uf_298 #26868) -#27482 := (uf_125 #27481 #26333) -#2980 := (uf_116 #2979) -#26469 := (uf_43 #24108 #2980) -#27555 := (uf_66 #26469 #27482 #24108) -#27664 := (= #27555 #3220) -#27655 := (= #24108 uf_7) -#24109 := (= uf_7 #24108) -#326 := (:var 1 T3) -#1358 := (uf_124 #326 #161) -#1592 := (pattern #1358) -#1605 := (uf_144 #1358) -#8271 := (= #326 #1605) -#8275 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #8271) -#16576 := (~ #8275 #8275) -#16574 := (~ #8271 #8271) -#16575 := [refl]: #16574 -#16577 := [nnf-pos #16575]: #16576 -#1606 := (= #1605 #326) -#1607 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #1606) -#8276 := (iff #1607 #8275) -#8273 := (iff #1606 #8271) -#8274 := [rewrite]: #8273 -#8277 := [quant-intro #8274]: #8276 -#8270 := [asserted]: #1607 -#8280 := [mp #8270 #8277]: #8275 -#16578 := [mp~ #8280 #16577]: #8275 -#24112 := (not #8275) -#24113 := (or #24112 #24109) -#24114 := [quant-inst]: #24113 -#27654 := [unit-resolution #24114 #16578]: #24109 -#27656 := [symm #27654]: #27655 -#27657 := (= #27482 uf_298) -#26369 := (uf_13 #23935) -#28212 := (uf_66 #23935 uf_298 #26369) -#28213 := (uf_125 #28212 #23935) -#29709 := (= #28213 uf_298) -#28214 := (= uf_298 #28213) -#15 := (:var 1 T5) -#1390 := (uf_13 #15) -#1391 := (uf_66 #15 #161 #1390) -#1392 := (pattern #1391) -#1393 := (uf_125 #1391 #15) -#7663 := (= #161 #1393) -#7667 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #7663) -#16288 := (~ #7667 #7667) -#16286 := (~ #7663 #7663) -#16287 := [refl]: #16286 -#16289 := [nnf-pos #16287]: #16288 -#1394 := (= #1393 #161) -#1395 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #1394) -#7668 := (iff #1395 #7667) -#7665 := (iff #1394 #7663) -#7666 := [rewrite]: #7665 -#7669 := [quant-intro #7666]: #7668 -#7662 := [asserted]: #1395 -#7672 := [mp #7662 #7669]: #7667 -#16290 := [mp~ #7672 #16289]: #7667 -#26376 := (not #7667) -#28217 := (or #26376 #28214) -#28218 := [quant-inst]: #28217 -#28873 := [unit-resolution #28218 #16290]: #28214 -#29710 := [symm #28873]: #29709 -#28080 := (= #27482 #28213) -#29457 := (= #28213 #27482) -#27795 := (= #23935 #26333) -#27716 := (= #2979 #26333) -#27718 := (= #26333 #2979) -#27783 := (= #26317 uf_288) -#27660 := (= #2980 uf_288) -#24227 := (= uf_288 #2980) -#2697 := (uf_43 #326 #161) -#22405 := (pattern #2697) -#2698 := (uf_116 #2697) -#11208 := (= #161 #2698) -#22406 := (forall (vars (?x718 T3) (?x719 int)) (:pat #22405) #11208) -#11212 := (forall (vars (?x718 T3) (?x719 int)) #11208) -#22409 := (iff #11212 #22406) -#22407 := (iff #11208 #11208) -#22408 := [refl]: #22407 -#22410 := [quant-intro #22408]: #22409 -#17483 := (~ #11212 #11212) -#17481 := (~ #11208 #11208) -#17482 := [refl]: #17481 -#17484 := [nnf-pos #17482]: #17483 -#2699 := (= #2698 #161) -#2700 := (forall (vars (?x718 T3) (?x719 int)) #2699) -#11213 := (iff #2700 #11212) -#11210 := (iff #2699 #11208) -#11211 := [rewrite]: #11210 -#11214 := [quant-intro #11211]: #11213 -#11207 := [asserted]: #2700 -#11217 := [mp #11207 #11214]: #11212 -#17485 := [mp~ #11217 #17484]: #11212 -#22411 := [mp #17485 #22410]: #22406 -#24181 := (not #22406) -#24232 := (or #24181 #24227) -#24233 := [quant-inst]: #24232 -#27659 := [unit-resolution #24233 #22411]: #24227 -#27661 := [symm #27659]: #27660 -#27710 := (= #26317 #2980) -#27708 := (= #23935 #2979) -#23936 := (= #2979 #23935) -#23 := (:var 0 T5) -#93 := (uf_29 #23) -#22316 := (pattern #93) -#94 := (uf_28 #93) -#3540 := (= #23 #94) -#22317 := (forall (vars (?x14 T5)) (:pat #22316) #3540) -#3543 := (forall (vars (?x14 T5)) #3540) -#22318 := (iff #3543 #22317) -#22320 := (iff #22317 #22317) -#22321 := [rewrite]: #22320 -#22319 := [rewrite]: #22318 -#22322 := [trans #22319 #22321]: #22318 -#15525 := (~ #3543 #3543) -#15515 := (~ #3540 #3540) -#15516 := [refl]: #15515 -#15581 := [nnf-pos #15516]: #15525 -#95 := (= #94 #23) -#96 := (forall (vars (?x14 T5)) #95) -#3544 := (iff #96 #3543) -#3541 := (iff #95 #3540) -#3542 := [rewrite]: #3541 -#3545 := [quant-intro #3542]: #3544 -#3539 := [asserted]: #96 -#3548 := [mp #3539 #3545]: #3543 -#15582 := [mp~ #3548 #15581]: #3543 -#22323 := [mp #15582 #22322]: #22317 -#23939 := (not #22317) -#23940 := (or #23939 #23936) -#23941 := [quant-inst]: #23940 -#27707 := [unit-resolution #23941 #22323]: #23936 -#27709 := [symm #27707]: #27708 -#27711 := [monotonicity #27709]: #27710 -#27784 := [trans #27711 #27661]: #27783 -#27789 := [monotonicity #27656 #27784]: #27718 -#27790 := [symm #27789]: #27716 -#27796 := [trans #27709 #27790]: #27795 -#29455 := (= #28212 #27481) -#29453 := (= #3220 #27481) -#29451 := (= #27481 #3220) -#29423 := (= #26868 uf_7) -#24223 := (uf_13 #2979) -#27846 := (= #24223 uf_7) -#24224 := (= uf_7 #24223) -#2701 := (uf_13 #2697) -#11216 := (= #326 #2701) -#22412 := (forall (vars (?x720 T3) (?x721 int)) (:pat #22405) #11216) -#11220 := (forall (vars (?x720 T3) (?x721 int)) #11216) -#22415 := (iff #11220 #22412) -#22413 := (iff #11216 #11216) -#22414 := [refl]: #22413 -#22416 := [quant-intro #22414]: #22415 -#17488 := (~ #11220 #11220) -#17486 := (~ #11216 #11216) -#17487 := [refl]: #17486 -#17489 := [nnf-pos #17487]: #17488 -#2702 := (= #2701 #326) -#2703 := (forall (vars (?x720 T3) (?x721 int)) #2702) -#11221 := (iff #2703 #11220) -#11218 := (iff #2702 #11216) -#11219 := [rewrite]: #11218 -#11222 := [quant-intro #11219]: #11221 -#11215 := [asserted]: #2703 -#11225 := [mp #11215 #11222]: #11220 -#17490 := [mp~ #11225 #17489]: #11220 -#22417 := [mp #17490 #22416]: #22412 -#24175 := (not #22412) -#24229 := (or #24175 #24224) -#24230 := [quant-inst]: #24229 -#27843 := [unit-resolution #24230 #22417]: #24224 -#27847 := [symm #27843]: #27846 -#29421 := (= #26868 #24223) -#29422 := [monotonicity #27789]: #29421 -#29424 := [trans #29422 #27847]: #29423 -#29452 := [monotonicity #27789 #29424]: #29451 -#29454 := [symm #29452]: #29453 -#29449 := (= #28212 #3220) -#27848 := (= #26369 uf_7) -#27844 := (= #26369 #24223) -#27845 := [monotonicity #27709]: #27844 -#27849 := [trans #27845 #27847]: #27848 -#29450 := [monotonicity #27709 #27849]: #29449 -#29456 := [trans #29450 #29454]: #29455 -#29458 := [monotonicity #29456 #27796]: #29457 -#29441 := [symm #29458]: #28080 -#29711 := [trans #29441 #29710]: #27657 -#27662 := (= #26469 #2979) -#27663 := [monotonicity #27656 #27661]: #27662 -#29712 := [monotonicity #27663 #29711 #27656]: #27664 -#29208 := (= #3271 #27555) -#29074 := (= uf_305 #27482) -#28951 := (= uf_305 #28213) -#3242 := (= uf_305 uf_298) -#12383 := (= uf_298 uf_305) -#22496 := (not #22493) -#22499 := (or #22496 #21531) -#22502 := (not #22499) -#13090 := (+ uf_286 #13062) -#13089 := (>= #13090 0::int) -#13093 := (not #13089) -#22505 := (or #13093 #22502) -#22508 := (not #22505) -#22511 := (or #13093 #22508) -#22514 := (not #22511) -#15126 := 4294967294::int -#15127 := (<= uf_298 4294967294::int) -#17745 := (not #15127) -#13063 := (+ uf_298 #13062) -#13061 := (= #13063 -1::int) -#21556 := (not #13061) +#13302 := (+ uf_286 #13301) +#13303 := (<= #13302 0::int) +#3219 := (uf_66 #2979 uf_305 uf_7) +#3220 := (uf_110 uf_287 #3219) +#12352 := (= uf_304 #3220) +#22044 := (not #12352) +#22045 := (or #22044 #13303) +#22046 := (not #22045) +#23025 := (or #22046 #23022) +#23028 := (not #23025) +#23031 := (or #23028 #22098) +#23034 := (not #23031) +#13261 := (+ uf_286 #13260) +#13259 := (>= #13261 0::int) +#13264 := (not #13259) +#23037 := (or #13264 #23034) +#23040 := (not #23037) +#23043 := (or #13264 #23040) +#23046 := (not #23043) +#15608 := 4294967294::int +#15609 := (<= uf_298 4294967294::int) +#18279 := (not #15609) +#13328 := (+ uf_298 #13260) +#13327 := (= #13328 -1::int) +#13331 := (not #13327) #892 := 2::int -#13059 := (>= uf_306 2::int) -#21555 := (not #13059) -#13051 := (>= uf_298 -1::int) -#17742 := (not #13051) -#13017 := (>= uf_305 0::int) -#21554 := (not #13017) +#13251 := (>= uf_306 2::int) +#22121 := (not #13251) +#13243 := (>= uf_298 -1::int) +#18276 := (not #13243) +#13234 := (>= uf_305 0::int) +#22120 := (not #13234) decl up_291 :: (-> T4 T1 T1 int T3 bool) decl uf_4 :: T3 #7 := uf_4 @@ -311,1019 +108,1174 @@ #2946 := uf_273 decl uf_269 :: T1 #2942 := uf_269 -#3258 := (up_291 uf_287 uf_269 uf_273 uf_306 uf_4) -#21553 := (not #3258) -#22517 := (or #21553 #21554 #17742 #21555 #21556 #17745 #22514) -#22520 := (not #22517) -#22523 := (or #17742 #17745 #22520) -#22526 := (not #22523) +#3209 := (up_291 uf_287 uf_269 uf_273 uf_306 uf_4) +#12401 := (not #3209) +#23049 := (or #12401 #22120 #18276 #22121 #13331 #18279 #23046) +#23052 := (not #23049) +#23055 := (or #18276 #18279 #23052) +#23058 := (not #23055) #4 := 1::int -#12913 := (>= uf_298 1::int) -#21575 := (not #12913) -#21574 := (not #12383) -decl uf_303 :: int -#3234 := uf_303 -#12380 := (= uf_303 uf_304) -#21573 := (not #12380) -#12375 := (= #3230 uf_303) -#21572 := (not #12375) +#13225 := (>= uf_298 1::int) +#13365 := (not #13225) +#12316 := (= uf_298 uf_305) +#12440 := (not #12316) +#12449 := (not #12313) +#12308 := (= #3190 uf_303) +#12485 := (not #12308) decl uf_68 :: (-> T4 T5 T2) -#3226 := (uf_68 uf_287 #3220) +#3187 := (uf_68 uf_287 #3181) decl uf_9 :: T2 #19 := uf_9 -#12355 := (= uf_9 #3226) -#17730 := (not #12355) +#12302 := (= uf_9 #3187) +#18247 := (not #12302) decl uf_48 :: (-> T5 T3 T2) -#3221 := (uf_48 #3220 uf_7) -#12346 := (= uf_9 #3221) -#17721 := (not #12346) +#3182 := (uf_48 #3181 uf_7) +#12293 := (= uf_9 #3182) +#18238 := (not #12293) decl uf_275 :: T1 #2948 := uf_275 decl uf_270 :: T1 #2943 := uf_270 -#3237 := (up_291 uf_287 uf_270 uf_275 uf_298 uf_4) -#21571 := (not #3237) +#3195 := (up_291 uf_287 uf_270 uf_275 uf_298 uf_4) +#12467 := (not #3195) decl uf_277 :: T1 #2950 := uf_277 decl uf_271 :: T1 #2944 := uf_271 -#3236 := (up_291 uf_287 uf_271 uf_277 uf_303 uf_7) -#21570 := (not #3236) -#22529 := (or #21570 #21571 #17721 #17730 #21572 #21573 #21574 #21575 #21554 #22526) -#22532 := (not #22529) -#12998 := (* -1::int #3230) +#3194 := (up_291 uf_287 uf_271 uf_277 uf_303 uf_7) +#12476 := (not #3194) +#23061 := (or #12476 #12467 #18238 #18247 #12485 #12449 #12440 #13365 #22120 #23058) +#23064 := (not #23061) +#13418 := (* -1::int #3190) decl uf_296 :: int -#3079 := uf_296 -#12999 := (+ uf_296 #12998) -#12997 := (>= #12999 0::int) -#12996 := (not #12997) +#3061 := uf_296 +#13419 := (+ uf_296 #13418) +#13417 := (>= #13419 0::int) +#13416 := (not #13417) decl uf_297 :: int -#3083 := uf_297 -#12910 := (>= uf_297 0::int) -#21602 := (not #12910) -#12524 := (= uf_297 uf_305) -#21614 := (not #12524) -#12521 := (= uf_296 uf_304) -#21613 := (not #12521) -#22559 := (or #21613 #21614 #21602 #21575 #12996 #21554 #22526) -#22562 := (not #22559) -#22535 := (or #17721 #17730 #22532) -#22538 := (not #22535) +#3065 := uf_297 +#13222 := (>= uf_297 0::int) +#22161 := (not #13222) +#12551 := (= uf_297 uf_305) +#12557 := (not #12551) +#12548 := (= uf_296 uf_304) +#12566 := (not #12548) +#23091 := (or #12566 #12557 #22161 #13365 #22120 #13416 #23058) +#23094 := (not #23091) +#23067 := (or #18238 #18247 #23064) +#23070 := (not #23067) decl uf_24 :: (-> T4 T5 T2) -#3223 := (uf_24 uf_287 #3220) -#12349 := (= uf_9 #3223) -#17724 := (not #12349) -#22541 := (or #17721 #17724 #22538) -#22544 := (not #22541) -#22547 := (or #17721 #17724 #22544) -#22550 := (not #22547) -#22553 := (or #21602 #21575 #12997 #22550) -#22556 := (not #22553) -#22565 := (or #22556 #22562) -#22568 := (not #22565) -#22571 := (or #17721 #17730 #21602 #21575 #22568) -#22574 := (not #22571) +#3184 := (uf_24 uf_287 #3181) +#12296 := (= uf_9 #3184) +#18241 := (not #12296) +#23073 := (or #18238 #18241 #23070) +#23076 := (not #23073) +#23079 := (or #18238 #18241 #23076) +#23082 := (not #23079) +#23085 := (or #22161 #13365 #13417 #23082) +#23088 := (not #23085) +#23097 := (or #23088 #23094) +#23100 := (not #23097) +#23103 := (or #18238 #18247 #22161 #13365 #23100) +#23106 := (not #23103) decl uf_25 :: (-> T4 T5 T5) decl uf_135 :: (-> T14 T5) decl uf_58 :: (-> T13 T5 T14) decl uf_59 :: (-> T4 T13) -#3175 := (uf_59 uf_287) -#27095 := (uf_58 #3175 #3220) -#28578 := (uf_135 #27095) -#28581 := (uf_25 uf_287 #28578) +#3150 := (uf_59 uf_287) +#27629 := (uf_58 #3150 #3181) +#29089 := (uf_135 #27629) +#29092 := (uf_25 uf_287 #29089) decl uf_26 :: T5 #77 := uf_26 -#28582 := (= uf_26 #28581) +#29093 := (= uf_26 #29092) decl uf_210 :: (-> T4 T5 T2) -#28579 := (uf_210 uf_287 #28578) -#28580 := (= uf_9 #28579) -#28638 := (or #28580 #28582) -#28641 := (not #28638) +#29090 := (uf_210 uf_287 #29089) +#29091 := (= uf_9 #29090) +#29149 := (or #29091 #29093) +#29152 := (not #29149) decl uf_136 :: (-> T14 T2) -#28591 := (uf_136 #27095) -#28592 := (= uf_9 #28591) -#28593 := (not #28592) +#29102 := (uf_136 #27629) +#29103 := (= uf_9 #29102) +#29104 := (not #29103) decl uf_27 :: (-> T4 T5 T2) -#28588 := (uf_27 uf_287 #28578) -#28589 := (= uf_9 #28588) -#28590 := (not #28589) -#28632 := (or #28590 #28593) -#28635 := (not #28632) +#29099 := (uf_27 uf_287 #29089) +#29100 := (= uf_9 #29099) +#29101 := (not #29100) +#29143 := (or #29101 #29104) +#29146 := (not #29143) decl uf_12 :: (-> T3 T8) -#27351 := (uf_13 #3220) -#28596 := (uf_12 #27351) +decl uf_13 :: (-> T5 T3) +#27885 := (uf_13 #3181) +#29107 := (uf_12 #27885) decl uf_14 :: T8 #28 := uf_14 -#28614 := (= uf_14 #28596) -#28629 := (not #28614) -#28585 := (uf_13 #28578) -#28586 := (uf_12 #28585) -#28587 := (= uf_14 #28586) -#28647 := (or #28587 #28629 #28635 #28641) -#28652 := (not #28647) -#28603 := (uf_25 uf_287 #3220) -#28604 := (= uf_26 #28603) -#28601 := (uf_210 uf_287 #3220) -#28602 := (= uf_9 #28601) -#28617 := (or #28602 #28604) -#28620 := (not #28617) -#28623 := (or #28614 #28620) -#28626 := (not #28623) -#28655 := (or #28626 #28652) -#28658 := (not #28655) -#28661 := (or #17724 #28658) -#28664 := (not #28661) -decl up_67 :: (-> T14 bool) +#29125 := (= uf_14 #29107) +#29140 := (not #29125) +#29096 := (uf_13 #29089) +#29097 := (uf_12 #29096) +#29098 := (= uf_14 #29097) +#29158 := (or #29098 #29140 #29146 #29152) +#29163 := (not #29158) +#29114 := (uf_25 uf_287 #3181) +#29115 := (= uf_26 #29114) +#29112 := (uf_210 uf_287 #3181) +#29113 := (= uf_9 #29112) +#29128 := (or #29113 #29115) +#29131 := (not #29128) +#29134 := (or #29125 #29131) +#29137 := (not #29134) +#29166 := (or #29137 #29163) +#29169 := (not #29166) +#29172 := (or #18241 #29169) +#29175 := (not #29172) +#29178 := (iff #12302 #29175) +#29750 := (not #29178) +#29945 := [hypothesis]: #29750 +#23 := (:var 0 T5) +#47 := (:var 1 T4) +#2381 := (uf_68 #47 #23) +#2382 := (pattern #2381) +#282 := (uf_59 #47) +#2384 := (uf_58 #282 #23) +#2388 := (uf_135 #2384) +#2399 := (uf_210 #47 #2388) +#10480 := (= uf_9 #2399) +#2397 := (uf_25 #47 #2388) +#10477 := (= uf_26 #2397) +#10483 := (or #10477 #10480) +#21752 := (not #10483) +#2393 := (uf_13 #2388) +#2394 := (uf_12 #2393) +#10471 := (= uf_14 #2394) +#2389 := (uf_27 #47 #2388) +#10462 := (= uf_9 #2389) +#10465 := (not #10462) +#2385 := (uf_136 #2384) +#10456 := (= uf_9 #2385) +#10459 := (not #10456) +#10468 := (or #10459 #10465) +#21751 := (not #10468) +#26 := (uf_13 #23) +#27 := (uf_12 #26) +#29 := (= #27 uf_14) +#52 := (not #29) +#21753 := (or #52 #21751 #10471 #21752) +#21754 := (not #21753) +#2405 := (uf_210 #47 #23) +#10495 := (= uf_9 #2405) +#142 := (uf_25 #47 #23) +#3617 := (= uf_26 #142) +#10498 := (or #3617 #10495) +#21746 := (not #10498) +#21747 := (or #29 #21746) +#21748 := (not #21747) +#21757 := (or #21748 #21754) +#21763 := (not #21757) +#146 := (uf_24 #47 #23) +#3623 := (= uf_9 #146) +#11068 := (not #3623) +#21764 := (or #11068 #21763) +#21765 := (not #21764) +#10452 := (= uf_9 #2381) +#21770 := (iff #10452 #21765) +#21773 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #21770) +#10474 := (not #10471) +#10516 := (and #29 #10468 #10474 #10483) +#10501 := (and #52 #10498) +#10522 := (or #10501 #10516) +#10527 := (and #3623 #10522) +#10530 := (iff #10452 #10527) +#10533 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10530) +#21774 := (iff #10533 #21773) +#21771 := (iff #10530 #21770) +#21768 := (iff #10527 #21765) +#21760 := (and #3623 #21757) +#21766 := (iff #21760 #21765) +#21767 := [rewrite]: #21766 +#21761 := (iff #10527 #21760) +#21758 := (iff #10522 #21757) +#21755 := (iff #10516 #21754) +#21756 := [rewrite]: #21755 +#21749 := (iff #10501 #21748) +#21750 := [rewrite]: #21749 +#21759 := [monotonicity #21750 #21756]: #21758 +#21762 := [monotonicity #21759]: #21761 +#21769 := [trans #21762 #21767]: #21768 +#21772 := [monotonicity #21769]: #21771 +#21775 := [quant-intro #21772]: #21774 +#17696 := (~ #10533 #10533) +#17694 := (~ #10530 #10530) +#17695 := [refl]: #17694 +#17697 := [nnf-pos #17695]: #17696 +#2406 := (= #2405 uf_9) +#143 := (= #142 uf_26) +#2407 := (or #143 #2406) +#2408 := (and #52 #2407) +#2400 := (= #2399 uf_9) +#2398 := (= #2397 uf_26) +#2401 := (or #2398 #2400) +#2395 := (= #2394 uf_14) +#2396 := (not #2395) +#2402 := (and #2396 #2401) +#2390 := (= #2389 uf_9) +#2391 := (not #2390) +#2386 := (= #2385 uf_9) +#2387 := (not #2386) +#2392 := (or #2387 #2391) +#2403 := (and #2392 #2402) +#2404 := (and #29 #2403) +#2409 := (or #2404 #2408) +#147 := (= #146 uf_9) +#2410 := (and #147 #2409) +#2383 := (= #2381 uf_9) +#2411 := (iff #2383 #2410) +#2412 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #2411) +#10536 := (iff #2412 #10533) +#10486 := (and #10474 #10483) +#10489 := (and #10468 #10486) +#10492 := (and #29 #10489) +#10504 := (or #10492 #10501) +#10507 := (and #3623 #10504) +#10510 := (iff #10452 #10507) +#10513 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10510) +#10534 := (iff #10513 #10533) +#10531 := (iff #10510 #10530) +#10528 := (iff #10507 #10527) +#10525 := (iff #10504 #10522) +#10519 := (or #10516 #10501) +#10523 := (iff #10519 #10522) +#10524 := [rewrite]: #10523 +#10520 := (iff #10504 #10519) +#10517 := (iff #10492 #10516) +#10518 := [rewrite]: #10517 +#10521 := [monotonicity #10518]: #10520 +#10526 := [trans #10521 #10524]: #10525 +#10529 := [monotonicity #10526]: #10528 +#10532 := [monotonicity #10529]: #10531 +#10535 := [quant-intro #10532]: #10534 +#10514 := (iff #2412 #10513) +#10511 := (iff #2411 #10510) +#10508 := (iff #2410 #10507) +#10505 := (iff #2409 #10504) +#10502 := (iff #2408 #10501) +#10499 := (iff #2407 #10498) +#10496 := (iff #2406 #10495) +#10497 := [rewrite]: #10496 +#3618 := (iff #143 #3617) +#3619 := [rewrite]: #3618 +#10500 := [monotonicity #3619 #10497]: #10499 +#10503 := [monotonicity #10500]: #10502 +#10493 := (iff #2404 #10492) +#10490 := (iff #2403 #10489) +#10487 := (iff #2402 #10486) +#10484 := (iff #2401 #10483) +#10481 := (iff #2400 #10480) +#10482 := [rewrite]: #10481 +#10478 := (iff #2398 #10477) +#10479 := [rewrite]: #10478 +#10485 := [monotonicity #10479 #10482]: #10484 +#10475 := (iff #2396 #10474) +#10472 := (iff #2395 #10471) +#10473 := [rewrite]: #10472 +#10476 := [monotonicity #10473]: #10475 +#10488 := [monotonicity #10476 #10485]: #10487 +#10469 := (iff #2392 #10468) +#10466 := (iff #2391 #10465) +#10463 := (iff #2390 #10462) +#10464 := [rewrite]: #10463 +#10467 := [monotonicity #10464]: #10466 +#10460 := (iff #2387 #10459) +#10457 := (iff #2386 #10456) +#10458 := [rewrite]: #10457 +#10461 := [monotonicity #10458]: #10460 +#10470 := [monotonicity #10461 #10467]: #10469 +#10491 := [monotonicity #10470 #10488]: #10490 +#10494 := [monotonicity #10491]: #10493 +#10506 := [monotonicity #10494 #10503]: #10505 +#3624 := (iff #147 #3623) +#3625 := [rewrite]: #3624 +#10509 := [monotonicity #3625 #10506]: #10508 +#10454 := (iff #2383 #10452) +#10455 := [rewrite]: #10454 +#10512 := [monotonicity #10455 #10509]: #10511 +#10515 := [quant-intro #10512]: #10514 +#10537 := [trans #10515 #10535]: #10536 +#10451 := [asserted]: #2412 +#10538 := [mp #10451 #10537]: #10533 +#17698 := [mp~ #10538 #17697]: #10533 +#21776 := [mp #17698 #21775]: #21773 +#27259 := (not #21773) +#29859 := (or #27259 #29178) +#29094 := (or #29093 #29091) +#29095 := (not #29094) +#29105 := (or #29104 #29101) +#29106 := (not #29105) +#29108 := (= #29107 uf_14) +#29109 := (not #29108) +#29110 := (or #29109 #29106 #29098 #29095) +#29111 := (not #29110) +#29116 := (or #29115 #29113) +#29117 := (not #29116) +#29118 := (or #29108 #29117) +#29119 := (not #29118) +#29120 := (or #29119 #29111) +#29121 := (not #29120) +#29122 := (or #18241 #29121) +#29123 := (not #29122) +#29124 := (iff #12302 #29123) +#29860 := (or #27259 #29124) +#29862 := (iff #29860 #29859) +#29690 := (iff #29859 #29859) +#29691 := [rewrite]: #29690 +#29179 := (iff #29124 #29178) +#29176 := (iff #29123 #29175) +#29173 := (iff #29122 #29172) +#29170 := (iff #29121 #29169) +#29167 := (iff #29120 #29166) +#29164 := (iff #29111 #29163) +#29161 := (iff #29110 #29158) +#29155 := (or #29140 #29146 #29098 #29152) +#29159 := (iff #29155 #29158) +#29160 := [rewrite]: #29159 +#29156 := (iff #29110 #29155) +#29153 := (iff #29095 #29152) +#29150 := (iff #29094 #29149) +#29151 := [rewrite]: #29150 +#29154 := [monotonicity #29151]: #29153 +#29147 := (iff #29106 #29146) +#29144 := (iff #29105 #29143) +#29145 := [rewrite]: #29144 +#29148 := [monotonicity #29145]: #29147 +#29141 := (iff #29109 #29140) +#29126 := (iff #29108 #29125) +#29127 := [rewrite]: #29126 +#29142 := [monotonicity #29127]: #29141 +#29157 := [monotonicity #29142 #29148 #29154]: #29156 +#29162 := [trans #29157 #29160]: #29161 +#29165 := [monotonicity #29162]: #29164 +#29138 := (iff #29119 #29137) +#29135 := (iff #29118 #29134) +#29132 := (iff #29117 #29131) +#29129 := (iff #29116 #29128) +#29130 := [rewrite]: #29129 +#29133 := [monotonicity #29130]: #29132 +#29136 := [monotonicity #29127 #29133]: #29135 +#29139 := [monotonicity #29136]: #29138 +#29168 := [monotonicity #29139 #29165]: #29167 +#29171 := [monotonicity #29168]: #29170 +#29174 := [monotonicity #29171]: #29173 +#29177 := [monotonicity #29174]: #29176 +#29180 := [monotonicity #29177]: #29179 +#29689 := [monotonicity #29180]: #29862 +#29674 := [trans #29689 #29691]: #29862 +#29861 := [quant-inst]: #29860 +#29675 := [mp #29861 #29674]: #29859 +#29979 := [unit-resolution #29675 #21776 #29945]: false +#29980 := [lemma #29979]: #29178 +#30580 := (or #29750 #12302) +#29847 := [hypothesis]: #29158 +decl uf_116 :: (-> T5 int) +#2980 := (uf_116 #2979) +decl uf_124 :: (-> T3 int T3) +#2977 := (uf_124 uf_7 uf_286) +#2981 := (uf_43 #2977 #2980) +#2984 := (uf_25 uf_287 #2981) +#29898 := (= #2984 #29092) +#29899 := (= #29092 #2984) +#30393 := (= #29089 #2981) decl uf_143 :: (-> T3 int) -#24110 := (uf_143 #2977) -#26391 := (uf_124 #24108 #24110) -#26392 := (uf_43 #26391 #2980) -#27485 := (uf_66 #26392 #27482 #24108) -#27491 := (uf_58 #3175 #27485) -#27497 := (up_67 #27491) -#27498 := (not #27497) -#27494 := (uf_135 #27491) -#27495 := (= #26392 #27494) -#27496 := (not #27495) -#27492 := (uf_136 #27491) -#27493 := (= uf_9 #27492) -#27488 := (uf_24 uf_287 #27485) -#27489 := (= uf_9 #27488) -#27490 := (not #27489) -#27519 := (or #27490 #27493 #27496 #27498) -#27522 := (not #27519) -#30005 := [hypothesis]: #27519 -#27503 := (>= #27482 0::int) -#28457 := (* -1::int #28213) -#28081 := (+ #27482 #28457) -#28082 := (>= #28081 0::int) -#29442 := (not #28080) -#29440 := (or #29442 #28082) -#29443 := [th-lemma]: #29440 -#29444 := [unit-resolution #29443 #29441]: #28082 -#13392 := (>= uf_298 0::int) +#24645 := (uf_143 #2977) +decl uf_144 :: (-> T3 T3) +#24643 := (uf_144 #2977) +#26925 := (uf_124 #24643 #24645) +#26926 := (uf_43 #26925 #2980) +#28291 := (= #26926 #2981) +#28289 := (= #26925 #2977) +#28287 := (= #24645 uf_286) +#24646 := (= uf_286 #24645) +#326 := (:var 1 T3) +#1358 := (uf_124 #326 #161) +#1592 := (pattern #1358) +#1602 := (uf_143 #1358) +#8266 := (= #161 #1602) +#8269 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #8266) +#17072 := (~ #8269 #8269) +#17070 := (~ #8266 #8266) +#17071 := [refl]: #17070 +#17073 := [nnf-pos #17071]: #17072 +#1603 := (= #1602 #161) +#1604 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #1603) +#8270 := (iff #1604 #8269) +#8267 := (iff #1603 #8266) +#8268 := [rewrite]: #8267 +#8271 := [quant-intro #8268]: #8270 +#8265 := [asserted]: #1604 +#8274 := [mp #8265 #8271]: #8269 +#17074 := [mp~ #8274 #17073]: #8269 +#24652 := (not #8269) +#24653 := (or #24652 #24646) +#24654 := [quant-inst]: #24653 +#28210 := [unit-resolution #24654 #17074]: #24646 +#28288 := [symm #28210]: #28287 +#28189 := (= #24643 uf_7) +#24644 := (= uf_7 #24643) +#1605 := (uf_144 #1358) +#8273 := (= #326 #1605) +#8277 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #8273) +#17077 := (~ #8277 #8277) +#17075 := (~ #8273 #8273) +#17076 := [refl]: #17075 +#17078 := [nnf-pos #17076]: #17077 +#1606 := (= #1605 #326) +#1607 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #1606) +#8278 := (iff #1607 #8277) +#8275 := (iff #1606 #8273) +#8276 := [rewrite]: #8275 +#8279 := [quant-intro #8276]: #8278 +#8272 := [asserted]: #1607 +#8282 := [mp #8272 #8279]: #8277 +#17079 := [mp~ #8282 #17078]: #8277 +#24647 := (not #8277) +#24648 := (or #24647 #24644) +#24649 := [quant-inst]: #24648 +#28188 := [unit-resolution #24649 #17079]: #24644 +#28190 := [symm #28188]: #28189 +#28290 := [monotonicity #28190 #28288]: #28289 +#28292 := [monotonicity #28290]: #28291 +#30391 := (= #29089 #26926) +decl uf_125 :: (-> T5 T5 int) +decl uf_28 :: (-> int T5) +decl uf_29 :: (-> T5 int) +#3013 := (uf_29 #2979) +#24470 := (uf_28 #3013) +#26903 := (uf_13 #24470) +#28922 := (uf_66 #24470 uf_298 #26903) +#28923 := (uf_125 #28922 #24470) +#28947 := (uf_66 #26926 #28923 #24643) +#28951 := (uf_58 #3150 #28947) +#28954 := (uf_135 #28951) +#30390 := (= #28954 #26926) +#28955 := (= #26926 #28954) +decl up_67 :: (-> T14 bool) +#28957 := (up_67 #28951) +#28958 := (not #28957) +#28956 := (not #28955) +#28952 := (uf_136 #28951) +#28953 := (= uf_9 #28952) +#28948 := (uf_24 uf_287 #28947) +#28949 := (= uf_9 #28948) +#28950 := (not #28949) +#28979 := (or #28950 #28953 #28956 #28958) +#28982 := (not #28979) +#28972 := (* -1::int #28923) +#28973 := (+ #24645 #28972) +#28974 := (<= #28973 0::int) +#30321 := (not #28974) +#29082 := (+ uf_298 #28972) +#29084 := (>= #29082 0::int) +#28924 := (= uf_298 #28923) +#15 := (:var 1 T5) +#1390 := (uf_13 #15) +#1391 := (uf_66 #15 #161 #1390) +#1392 := (pattern #1391) +#1393 := (uf_125 #1391 #15) +#7665 := (= #161 #1393) +#7669 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #7665) +#16789 := (~ #7669 #7669) +#16787 := (~ #7665 #7665) +#16788 := [refl]: #16787 +#16790 := [nnf-pos #16788]: #16789 +#1394 := (= #1393 #161) +#1395 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #1394) +#7670 := (iff #1395 #7669) +#7667 := (iff #1394 #7665) +#7668 := [rewrite]: #7667 +#7671 := [quant-intro #7668]: #7670 +#7664 := [asserted]: #1395 +#7674 := [mp #7664 #7671]: #7669 +#16791 := [mp~ #7674 #16790]: #7669 +#26910 := (not #7669) +#28927 := (or #26910 #28924) +#28928 := [quant-inst]: #28927 +#29280 := [unit-resolution #28928 #16791]: #28924 +#29281 := (not #28924) +#30320 := (or #29281 #29084) +#30315 := [th-lemma]: #30320 +#30316 := [unit-resolution #30315 #29280]: #29084 +#13246 := (* -1::int uf_298) +#13509 := (+ uf_286 #13246) +#13510 := (<= #13509 0::int) +#13511 := (not #13510) +#23109 := (or #18238 #18247 #23106) +#23112 := (not #23109) +#23115 := (or #18238 #18241 #23112) +#23118 := (not #23115) +#23121 := (or #18238 #18241 #23118) +#23124 := (not #23121) +#23127 := (or #22161 #13365 #13510 #23124) +#23130 := (not #23127) decl ?x776!15 :: int -#17865 := ?x776!15 -#18168 := (* -1::int ?x776!15) -#18169 := (+ uf_286 #18168) -#18170 := (<= #18169 0::int) -#17873 := (uf_66 #2979 ?x776!15 uf_7) -#17874 := (uf_110 uf_287 #17873) -#18155 := (* -1::int #17874) +#18420 := ?x776!15 +#18425 := (uf_66 #2979 ?x776!15 uf_7) +#18426 := (uf_110 uf_287 #18425) +#18771 := (* -1::int #18426) decl uf_302 :: int -#3128 := uf_302 -#18156 := (+ uf_302 #18155) -#18157 := (>= #18156 0::int) -#17870 := (>= ?x776!15 0::int) -#21709 := (not #17870) -#17866 := (<= ?x776!15 4294967295::int) -#21708 := (not #17866) -#21724 := (or #21708 #21709 #18157 #18170) -#21729 := (not #21724) -#12727 := (* -1::int uf_286) -#13271 := (+ #161 #12727) -#13270 := (>= #13271 0::int) -#3142 := (= #3073 uf_302) -#21682 := (not #3142) -#21683 := (or #21682 #4963 #13270 #18695) -#22609 := (forall (vars (?x778 int)) (:pat #22468) #21683) -#22614 := (not #22609) -#13286 := (* -1::int uf_302) -#13287 := (+ #3073 #13286) -#13288 := (<= #13287 0::int) -#21674 := (or #4963 #13270 #13288 #18695) -#22601 := (forall (vars (?x776 int)) (:pat #22468) #21674) -#22606 := (not #22601) -#22617 := (or #22606 #22614) -#22620 := (not #22617) -#22623 := (or #22620 #21729) -#22626 := (not #22623) -#12965 := (* -1::int uf_298) -#12966 := (+ uf_286 #12965) -#12967 := (<= #12966 0::int) -#12968 := (not #12967) -#12122 := (= uf_296 uf_302) -#21741 := (not #12122) +#3096 := uf_302 +#18772 := (+ uf_302 #18771) +#18773 := (>= #18772 0::int) +#18758 := (* -1::int ?x776!15) +#18759 := (+ uf_286 #18758) +#18760 := (<= #18759 0::int) +#18422 := (>= ?x776!15 0::int) +#22255 := (not #18422) +#18421 := (<= ?x776!15 4294967295::int) +#22254 := (not #18421) +#22270 := (or #22254 #22255 #18760 #18773) +#22275 := (not #22270) +#13151 := (* -1::int uf_286) +#13539 := (+ #161 #13151) +#13538 := (>= #13539 0::int) +#3103 := (= #3054 uf_302) +#22228 := (not #3103) +#22229 := (or #22228 #4965 #13538 #19295) +#23141 := (forall (vars (?x778 int)) (:pat #23000) #22229) +#23146 := (not #23141) +#13550 := (* -1::int uf_302) +#13551 := (+ #3054 #13550) +#13552 := (<= #13551 0::int) +#22220 := (or #4965 #13538 #13552 #19295) +#23133 := (forall (vars (?x776 int)) (:pat #23000) #22220) +#23138 := (not #23133) +#23149 := (or #23138 #23146) +#23152 := (not #23149) +#23155 := (or #23152 #22275) +#23158 := (not #23155) +#12017 := (= uf_296 uf_302) +#12052 := (not #12017) decl uf_301 :: int -#3126 := uf_301 -#12119 := (= uf_297 uf_301) -#21740 := (not #12119) +#3094 := uf_301 +#12014 := (= uf_297 uf_301) +#12061 := (not #12014) decl uf_300 :: int -#3124 := uf_300 -#12116 := (= uf_298 uf_300) -#21739 := (not #12116) +#3092 := uf_300 +#12011 := (= uf_298 uf_300) +#12070 := (not #12011) decl uf_299 :: int -#3122 := uf_299 -#12113 := (= uf_296 uf_299) -#21738 := (not #12113) -#22629 := (or #21738 #21739 #21740 #21741 #21602 #21575 #12968 #22626) -#22632 := (not #22629) -#22577 := (or #17721 #17730 #22574) -#22580 := (not #22577) -#22583 := (or #17721 #17724 #22580) -#22586 := (not #22583) -#22589 := (or #17721 #17724 #22586) -#22592 := (not #22589) -#22595 := (or #21602 #21575 #12967 #22592) -#22598 := (not #22595) -#22635 := (or #22598 #22632) -#22638 := (not #22635) -#13378 := (* -1::int uf_296) -#13379 := (+ #3073 #13378) -#13380 := (<= #13379 0::int) -#13363 := (+ #161 #12965) -#13362 := (>= #13363 0::int) -#21458 := (or #4963 #13362 #13380 #18695) -#22477 := (forall (vars (?x775 int)) (:pat #22468) #21458) -#22482 := (not #22477) +#3090 := uf_299 +#12008 := (= uf_296 uf_299) +#12079 := (not #12008) +#23161 := (or #12079 #12070 #12061 #12052 #22161 #13365 #13511 #23158) +#23164 := (not #23161) +#23167 := (or #23130 #23164) +#23170 := (not #23167) +#13715 := (* -1::int uf_296) +#13716 := (+ #3054 #13715) +#13717 := (<= #13716 0::int) +#13704 := (+ #161 #13246) +#13703 := (>= #13704 0::int) +#22036 := (or #4965 #13703 #13717 #19295) +#23009 := (forall (vars (?x775 int)) (:pat #23000) #22036) +#23014 := (not #23009) #1331 := 255::int -#15107 := (<= uf_296 255::int) -#21770 := (not #15107) -#15096 := (<= uf_297 4294967295::int) -#21769 := (not #15096) -#15085 := (<= uf_298 4294967295::int) -#21768 := (not #15085) -#13402 := (>= uf_296 0::int) -#21766 := (not #13402) -#21765 := (not #13392) -#13389 := (>= #12966 0::int) -#21764 := (not #13389) -#13356 := (* -1::int uf_297) -#13357 := (+ uf_286 #13356) -#13358 := (<= #13357 0::int) -#12740 := (<= uf_286 0::int) +#15594 := (<= uf_296 255::int) +#22305 := (not #15594) +#15577 := (<= uf_297 4294967295::int) +#22304 := (not #15577) +#15560 := (<= uf_298 4294967295::int) +#22303 := (not #15560) +#13765 := (>= uf_296 0::int) +#22301 := (not #13765) +#13743 := (>= uf_298 0::int) +#22300 := (not #13743) +#13737 := (>= #13509 0::int) +#13740 := (not #13737) +#13686 := (* -1::int uf_297) +#13687 := (+ uf_286 #13686) +#13688 := (<= #13687 0::int) +#13217 := (<= uf_286 0::int) decl uf_178 :: (-> T4 T4 T2) -#3187 := (uf_178 uf_287 uf_287) -#12261 := (= uf_9 #3187) -#21763 := (not #12261) +#3162 := (uf_178 uf_287 uf_287) +#12254 := (= uf_9 #3162) +#13683 := (not #12254) decl uf_202 :: (-> T1 T4 T2) decl uf_272 :: T1 #2945 := uf_272 -#3113 := (uf_202 uf_272 uf_287) -#12067 := (= uf_9 #3113) -#21762 := (not #12067) -#3100 := (uf_66 #2979 uf_297 uf_7) -#3101 := (uf_110 uf_287 #3100) -#12030 := (= uf_296 #3101) -#21761 := (not #12030) +#3087 := (uf_202 uf_272 uf_287) +#11997 := (= uf_9 #3087) +#14996 := (not #11997) +#3082 := (uf_66 #2979 uf_297 uf_7) +#3083 := (uf_110 uf_287 #3082) +#11989 := (= uf_296 #3083) +#22299 := (not #11989) decl up_292 :: (-> T4 T1 T1 T5 T3 bool) decl uf_6 :: (-> T3 T3) #11 := (uf_6 uf_7) decl uf_280 :: T1 #2953 := uf_280 -#3200 := (up_292 uf_287 uf_272 uf_280 #2979 #11) -#21760 := (not #3200) -#3199 := (up_291 uf_287 uf_272 uf_280 #3013 #11) -#21759 := (not #3199) +#3175 := (up_292 uf_287 uf_272 uf_280 #2979 #11) +#22298 := (not #3175) +#3174 := (up_291 uf_287 uf_272 uf_280 #3013 #11) +#22297 := (not #3174) decl uf_279 :: T1 #2952 := uf_279 -#3198 := (up_291 uf_287 uf_272 uf_279 uf_286 uf_4) -#21758 := (not #3198) -#3197 := (up_291 uf_287 uf_272 uf_277 uf_296 uf_7) -#21757 := (not #3197) -#3196 := (up_291 uf_287 uf_272 uf_275 uf_297 uf_4) -#21756 := (not #3196) -#3195 := (up_291 uf_287 uf_272 uf_273 uf_298 uf_4) -#21755 := (not #3195) -#3044 := (uf_66 #2979 0::int uf_7) -#3054 := (uf_110 uf_287 #3044) +#3173 := (up_291 uf_287 uf_272 uf_279 uf_286 uf_4) +#12742 := (not #3173) +#3172 := (up_291 uf_287 uf_272 uf_277 uf_296 uf_7) +#12751 := (not #3172) +#3171 := (up_291 uf_287 uf_272 uf_275 uf_297 uf_4) +#12760 := (not #3171) +#3170 := (up_291 uf_287 uf_272 uf_273 uf_298 uf_4) +#12769 := (not #3170) +#3031 := (uf_66 #2979 0::int uf_7) +#3041 := (uf_110 uf_287 #3031) decl uf_295 :: int -#3053 := uf_295 -#3055 := (= uf_295 #3054) -#17676 := (not #3055) -#22641 := (or #17676 #21755 #21756 #21757 #21758 #21759 #21760 #21761 #21762 #21763 #12740 #21602 #21575 #13358 #21764 #21765 #21766 #21768 #21769 #21770 #22482 #22638) -#22644 := (not #22641) -#22647 := (or #17676 #12740 #22644) -#22650 := (not #22647) -#12886 := (* -1::int #3073) -#12887 := (+ uf_295 #12886) -#12885 := (>= #12887 0::int) -#12869 := (>= #161 1::int) -#21436 := (or #4963 #12869 #12885 #18695) -#22469 := (forall (vars (?x773 int)) (:pat #22468) #21436) -#22474 := (not #22469) -#22653 := (or #22474 #22650) -#22656 := (not #22653) +#3040 := uf_295 +#3042 := (= uf_295 #3041) +#12976 := (not #3042) +#23173 := (or #12976 #12769 #12760 #12751 #12742 #22297 #22298 #22299 #14996 #13683 #13217 #22161 #13365 #13688 #13740 #22300 #22301 #22303 #22304 #22305 #23014 #23170) +#23176 := (not #23173) +#23179 := (or #12976 #13217 #23176) +#23182 := (not #23179) +#13197 := (* -1::int #3054) +#13198 := (+ uf_295 #13197) +#13196 := (>= #13198 0::int) +#13184 := (>= #161 1::int) +#22025 := (or #4965 #13184 #13196 #19295) +#23001 := (forall (vars (?x773 int)) (:pat #23000) #22025) +#23006 := (not #23001) +#23185 := (or #23006 #23182) +#23188 := (not #23185) decl ?x773!13 :: int -#17651 := ?x773!13 -#17658 := (uf_66 #2979 ?x773!13 uf_7) -#17659 := (uf_110 uf_287 #17658) -#17660 := (* -1::int #17659) -#17661 := (+ uf_295 #17660) -#17662 := (>= #17661 0::int) -#17655 := (>= ?x773!13 0::int) -#21399 := (not #17655) -#17653 := (>= ?x773!13 1::int) -#17652 := (<= ?x773!13 4294967295::int) -#21398 := (not #17652) -#21414 := (or #21398 #17653 #21399 #17662) -#21419 := (not #21414) -#22659 := (or #21419 #22656) -#22662 := (not #22659) -#12863 := (>= uf_286 1::int) -#12866 := (not #12863) -#22665 := (or #12866 #22662) -#22668 := (not #22665) -#22671 := (or #12866 #22668) -#22674 := (not #22671) -#3050 := (uf_68 uf_287 #3044) -#11979 := (= uf_9 #3050) -#17640 := (not #11979) -#3045 := (uf_48 #3044 uf_7) -#11970 := (= uf_9 #3045) -#17631 := (not #11970) +#18159 := ?x773!13 +#18169 := (>= ?x773!13 1::int) +#18164 := (uf_66 #2979 ?x773!13 uf_7) +#18165 := (uf_110 uf_287 #18164) +#18166 := (* -1::int #18165) +#18167 := (+ uf_295 #18166) +#18168 := (>= #18167 0::int) +#18161 := (>= ?x773!13 0::int) +#21999 := (not #18161) +#18160 := (<= ?x773!13 4294967295::int) +#21998 := (not #18160) +#22014 := (or #21998 #21999 #18168 #18169) +#22019 := (not #22014) +#23191 := (or #22019 #23188) +#23194 := (not #23191) +#13178 := (>= uf_286 1::int) +#13181 := (not #13178) +#23197 := (or #13181 #23194) +#23200 := (not #23197) +#23203 := (or #13181 #23200) +#23206 := (not #23203) +#3037 := (uf_68 uf_287 #3031) +#11937 := (= uf_9 #3037) +#18136 := (not #11937) +#3032 := (uf_48 #3031 uf_7) +#11928 := (= uf_9 #3032) +#18127 := (not #11928) decl uf_274 :: T1 #2947 := uf_274 -#3058 := (up_291 uf_287 uf_274 uf_273 1::int uf_4) -#21813 := (not #3058) +#3045 := (up_291 uf_287 uf_274 uf_273 1::int uf_4) +#12949 := (not #3045) decl uf_276 :: T1 #2949 := uf_276 -#3057 := (up_291 uf_287 uf_276 uf_275 0::int uf_4) -#21812 := (not #3057) +#3044 := (up_291 uf_287 uf_276 uf_275 0::int uf_4) +#12958 := (not #3044) decl uf_278 :: T1 #2951 := uf_278 -#3056 := (up_291 uf_287 uf_278 uf_277 uf_295 uf_7) -#21811 := (not #3056) -#22677 := (or #17676 #21811 #21812 #21813 #17631 #17640 #22674) -#22680 := (not #22677) -#22683 := (or #17631 #17640 #22680) -#22686 := (not #22683) -#3047 := (uf_24 uf_287 #3044) -#11973 := (= uf_9 #3047) -#17634 := (not #11973) -#22689 := (or #17631 #17634 #22686) -#22692 := (not #22689) -#26286 := (uf_13 #3044) -#26287 := (= #24108 #26286) -#26260 := (uf_48 #3044 #24108) -#26261 := (= uf_9 #26260) -#26289 := (iff #26261 #26287) -#233 := (:var 0 T3) -#2666 := (uf_48 #15 #233) -#2667 := (pattern #2666) -#11138 := (= uf_9 #2666) -#9039 := (= #233 #1390) -#11159 := (iff #9039 #11138) -#22399 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2667) #11159) -#11164 := (forall (vars (?x712 T5) (?x713 T3)) #11159) -#22402 := (iff #11164 #22399) -#22400 := (iff #11159 #11159) -#22401 := [refl]: #22400 -#22403 := [quant-intro #22401]: #22402 -#17468 := (~ #11164 #11164) -#17466 := (~ #11159 #11159) -#17467 := [refl]: #17466 -#17469 := [nnf-pos #17467]: #17468 -#1890 := (= #1390 #233) -#2668 := (= #2666 uf_9) -#2673 := (iff #2668 #1890) -#2674 := (forall (vars (?x712 T5) (?x713 T3)) #2673) -#11165 := (iff #2674 #11164) -#11162 := (iff #2673 #11159) -#11155 := (iff #11138 #9039) -#11160 := (iff #11155 #11159) -#11161 := [rewrite]: #11160 -#11157 := (iff #2673 #11155) -#9040 := (iff #1890 #9039) -#9041 := [rewrite]: #9040 -#11140 := (iff #2668 #11138) -#11141 := [rewrite]: #11140 -#11158 := [monotonicity #11141 #9041]: #11157 -#11163 := [trans #11158 #11161]: #11162 -#11166 := [quant-intro #11163]: #11165 -#11154 := [asserted]: #2674 -#11169 := [mp #11154 #11166]: #11164 -#17470 := [mp~ #11169 #17469]: #11164 -#22404 := [mp #17470 #22403]: #22399 -#25427 := (not #22399) -#26306 := (or #25427 #26289) -#26288 := (iff #26287 #26261) -#26307 := (or #25427 #26288) -#26363 := (iff #26307 #26306) -#26462 := (iff #26306 #26306) -#26453 := [rewrite]: #26462 -#26290 := (iff #26288 #26289) -#26291 := [rewrite]: #26290 -#26459 := [monotonicity #26291]: #26363 -#26518 := [trans #26459 #26453]: #26363 -#26300 := [quant-inst]: #26307 -#26463 := [mp #26300 #26518]: #26306 -#26613 := [unit-resolution #26463 #22404]: #26289 -#26268 := (not #26261) -#26569 := (iff #17631 #26268) -#26567 := (iff #11970 #26261) -#26657 := (iff #26261 #11970) -#26615 := (= #26260 #3045) -#26616 := [monotonicity #27656]: #26615 -#26658 := [monotonicity #26616]: #26657 -#26568 := [symm #26658]: #26567 -#26617 := [monotonicity #26568]: #26569 -#26614 := [hypothesis]: #17631 -#26618 := [mp #26614 #26617]: #26268 -#26660 := (= #24223 #26286) -#26622 := (= #26286 #24223) -#26620 := (= #3044 #2979) -#26566 := (= #3044 #26333) -#26311 := (uf_66 #23935 0::int #24108) -#26336 := (= #26311 #26333) -#26339 := (not #26336) -decl uf_138 :: (-> T5 T5 T2) -#26312 := (uf_138 #26311 #23935) -#26313 := (= uf_9 #26312) -#26314 := (not #26313) -#26345 := (or #26314 #26339) -#26350 := (not #26345) -#247 := (:var 1 int) -#21 := (:var 2 T5) -#1576 := (uf_66 #21 #247 #233) -#1577 := (pattern #1576) -#1578 := (uf_138 #1576 #21) -#8220 := (= uf_9 #1578) -#20314 := (not #8220) -decl uf_139 :: (-> T3 int) -#1581 := (uf_139 #233) -#1582 := (* #247 #1581) -#1580 := (uf_116 #21) -#1583 := (+ #1580 #1582) -#1584 := (uf_43 #233 #1583) -#1585 := (= #1576 #1584) -#20313 := (not #1585) -#20315 := (or #20313 #20314) -#20316 := (not #20315) -#20319 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #20316) -#8226 := (and #1585 #8220) -#8231 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #8226) -#20320 := (iff #8231 #20319) -#20317 := (iff #8226 #20316) -#20318 := [rewrite]: #20317 -#20321 := [quant-intro #20318]: #20320 -#16546 := (~ #8231 #8231) -#16544 := (~ #8226 #8226) -#16545 := [refl]: #16544 -#16547 := [nnf-pos #16545]: #16546 -#1579 := (= #1578 uf_9) -#1586 := (and #1579 #1585) -#1587 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #1586) -#8232 := (iff #1587 #8231) -#8229 := (iff #1586 #8226) -#8223 := (and #8220 #1585) -#8227 := (iff #8223 #8226) -#8228 := [rewrite]: #8227 -#8224 := (iff #1586 #8223) -#8221 := (iff #1579 #8220) -#8222 := [rewrite]: #8221 -#8225 := [monotonicity #8222]: #8224 -#8230 := [trans #8225 #8228]: #8229 -#8233 := [quant-intro #8230]: #8232 -#8219 := [asserted]: #1587 -#8236 := [mp #8219 #8233]: #8231 -#16548 := [mp~ #8236 #16547]: #8231 -#20322 := [mp #16548 #20321]: #20319 -#26353 := (not #20319) -#26293 := (or #26353 #26350) -#26315 := (uf_139 #24108) -#26316 := (* 0::int #26315) -#26318 := (+ #26317 #26316) -#26319 := (uf_43 #24108 #26318) -#26320 := (= #26311 #26319) -#26321 := (not #26320) -#26322 := (or #26321 #26314) -#26323 := (not #26322) -#26294 := (or #26353 #26323) -#26295 := (iff #26294 #26293) -#26310 := (iff #26293 #26293) -#26297 := [rewrite]: #26310 -#26351 := (iff #26323 #26350) -#26348 := (iff #26322 #26345) -#26342 := (or #26339 #26314) -#26346 := (iff #26342 #26345) -#26347 := [rewrite]: #26346 -#26343 := (iff #26322 #26342) -#26340 := (iff #26321 #26339) -#26337 := (iff #26320 #26336) -#26334 := (= #26319 #26333) -#26331 := (= #26318 #26317) -#26326 := (+ #26317 0::int) -#26329 := (= #26326 #26317) -#26330 := [rewrite]: #26329 -#26327 := (= #26318 #26326) -#26324 := (= #26316 0::int) -#26325 := [rewrite]: #26324 -#26328 := [monotonicity #26325]: #26327 -#26332 := [trans #26328 #26330]: #26331 -#26335 := [monotonicity #26332]: #26334 -#26338 := [monotonicity #26335]: #26337 -#26341 := [monotonicity #26338]: #26340 -#26344 := [monotonicity #26341]: #26343 -#26349 := [trans #26344 #26347]: #26348 -#26352 := [monotonicity #26349]: #26351 -#26296 := [monotonicity #26352]: #26295 -#26298 := [trans #26296 #26297]: #26295 -#26292 := [quant-inst]: #26294 -#26299 := [mp #26292 #26298]: #26293 -#27785 := [unit-resolution #26299 #20322]: #26350 -#26385 := (or #26345 #26336) -#26458 := [def-axiom]: #26385 -#27786 := [unit-resolution #26458 #27785]: #26336 -#27787 := (= #3044 #26311) -#27788 := [monotonicity #27707 #27654]: #27787 -#26619 := [trans #27788 #27786]: #26566 -#26621 := [trans #26619 #27789]: #26620 -#26609 := [monotonicity #26621]: #26622 -#26661 := [symm #26609]: #26660 -#26662 := (= #24108 #24223) -#26645 := [trans #27656 #27843]: #26662 -#26647 := [trans #26645 #26661]: #26287 -#26503 := (not #26287) -#26502 := (not #26289) -#26504 := (or #26502 #26261 #26503) -#26505 := [def-axiom]: #26504 -#26659 := [unit-resolution #26505 #26647 #26618 #26613]: false -#26648 := [lemma #26659]: #11970 -#28096 := (or #17631 #22692) -#22695 := (or #17631 #17634 #22692) -#22698 := (not #22695) +#3043 := (up_291 uf_287 uf_278 uf_277 uf_295 uf_7) +#12967 := (not #3043) +#23209 := (or #12976 #12967 #12958 #12949 #18127 #18136 #23206) +#23212 := (not #23209) +#23215 := (or #18127 #18136 #23212) +#23218 := (not #23215) +#3034 := (uf_24 uf_287 #3031) +#11931 := (= uf_9 #3034) +#18130 := (not #11931) +#23221 := (or #18127 #18130 #23218) +#23224 := (not #23221) +#23227 := (or #18127 #18130 #23224) +#23230 := (not #23227) decl uf_200 :: (-> T4 T5 T5 T16 T2) decl uf_282 :: T16 #2957 := uf_282 -#2981 := (uf_43 #2977 #2980) -#3042 := (uf_200 uf_287 #2981 #2981 uf_282) -#11967 := (= uf_9 #3042) -#12702 := (not #11967) -#22701 := (or #12702 #22698) -#22704 := (not #22701) -#24010 := (uf_116 #2981) -#25399 := (uf_43 #2977 #24010) -#25810 := (uf_13 #25399) -#26056 := (uf_12 #25810) -#26059 := (= uf_14 #26056) -#26178 := (not #26059) +#3029 := (uf_200 uf_287 #2981 #2981 uf_282) +#11925 := (= uf_9 #3029) +#13009 := (not #11925) +#23233 := (or #13009 #23230) +#23236 := (not #23233) +#24545 := (uf_116 #2981) +#25933 := (uf_43 #2977 #24545) +#26480 := (uf_200 uf_287 #25933 #25933 uf_282) +#26725 := (= #26480 #3029) +#26728 := (= #3029 #26480) +#25940 := (= #2981 #25933) +#2986 := (uf_48 #2981 #2977) +#11869 := (= uf_9 #2986) +decl uf_23 :: (-> T3 T2) +#2993 := (uf_23 #2977) +#11881 := (= uf_9 #2993) #2990 := (uf_12 #2977) -#11873 := (= uf_14 #2990) -#11876 := (not #11873) -#26179 := (iff #11876 #26178) -#26176 := (iff #11873 #26059) -#26195 := (iff #26059 #11873) -#26171 := (= #26056 #2990) -#26169 := (= #25810 #2977) -#24228 := (uf_13 #2981) -#27920 := (= #24228 #2977) -#24231 := (= #2977 #24228) -#24236 := (or #24175 #24231) -#24237 := [quant-inst]: #24236 -#27857 := [unit-resolution #24237 #22417]: #24231 -#27921 := [symm #27857]: #27920 -#26162 := (= #25810 #24228) -#27876 := (= #25399 #2981) -#25406 := (= #2981 #25399) -#2986 := (uf_48 #2981 #2977) -#11867 := (= uf_9 #2986) +#11875 := (= uf_14 #2990) +#11878 := (not #11875) +#2988 := (uf_24 uf_287 #2981) +#11872 := (= uf_9 #2988) +#11866 := (= uf_26 #2984) +#2982 := (uf_27 uf_287 #2981) +#11862 := (= uf_9 #2982) +#13937 := (and #11862 #11866 #11869 #11872 #11878 #11881) decl uf_283 :: int #2961 := uf_283 -#12768 := (* -1::int uf_283) +#13993 := (* -1::int uf_283) decl uf_78 :: int #429 := uf_78 -#12769 := (+ uf_78 #12768) -#12767 := (>= #12769 0::int) -#12765 := (>= uf_283 0::int) +#13994 := (+ uf_78 #13993) +#13992 := (>= #13994 0::int) +#13990 := (>= uf_283 0::int) +#13997 := (and #13990 #13992) +#14000 := (not #13997) decl uf_284 :: int #2965 := uf_284 -#12760 := (* -1::int uf_284) +#13979 := (* -1::int uf_284) decl uf_76 :: int #409 := uf_76 -#12761 := (+ uf_76 #12760) -#12759 := (>= #12761 0::int) -#12757 := (>= uf_284 0::int) +#13980 := (+ uf_76 #13979) +#13978 := (>= #13980 0::int) +#13976 := (>= uf_284 0::int) +#13983 := (and #13976 #13978) +#13986 := (not #13983) decl uf_285 :: int #2969 := uf_285 -#12752 := (* -1::int uf_285) -#12753 := (+ uf_76 #12752) -#12751 := (>= #12753 0::int) -#12749 := (>= uf_285 0::int) +#13965 := (* -1::int uf_285) +#13966 := (+ uf_76 #13965) +#13964 := (>= #13966 0::int) +#13962 := (>= uf_285 0::int) +#13969 := (and #13962 #13964) +#13972 := (not #13969) #1042 := 1099511627776::int -#12744 := (>= uf_286 1099511627776::int) -#12745 := (not #12744) -#12741 := (not #12740) +#13950 := (>= uf_286 1099511627776::int) +#13940 := (not #13937) decl uf_289 :: (-> T19 int) #3007 := (:var 0 T19) #3008 := (uf_289 #3007) #3009 := (pattern #3008) decl uf_290 :: int #3010 := uf_290 -#12733 := (* -1::int uf_290) -#12734 := (+ #3008 #12733) -#12732 := (>= #12734 0::int) -#12731 := (not #12732) -#12737 := (forall (vars (?x771 T19)) (:pat #3009) #12731) -#12728 := (+ uf_76 #12727) -#12726 := (>= #12728 0::int) -#12724 := (>= uf_286 0::int) +#13927 := (* -1::int uf_290) +#13928 := (+ #3008 #13927) +#13926 := (>= #13928 0::int) +#13925 := (not #13926) +#13931 := (forall (vars (?x771 T19)) (:pat #3009) #13925) +#13934 := (not #13931) +#13218 := (not #13217) +#13781 := (and #3042 #13218) +#13786 := (not #13781) +#13769 := (+ uf_78 #13715) +#13768 := (>= #13769 0::int) +#13772 := (and #13765 #13768) +#13775 := (not #13772) +#13756 := (+ uf_76 #13686) +#13755 := (>= #13756 0::int) +#13759 := (and #13222 #13755) +#13762 := (not #13759) +#13247 := (+ uf_76 #13246) +#13746 := (>= #13247 0::int) +#13749 := (and #13743 #13746) +#13752 := (not #13749) +#4355 := (* -1::int uf_76) +#4356 := (+ #161 #4355) +#4357 := (<= #4356 0::int) +#4364 := (and #4043 #4357) +#5579 := (not #4364) +#13726 := (or #5579 #13703 #13717) +#13731 := (forall (vars (?x775 int)) #13726) +#13734 := (not #13731) +#13689 := (not #13688) +#13695 := (and #11989 #13689) +#13700 := (not #13695) +#13540 := (not #13538) +#13578 := (and #3103 #4043 #4357 #13540) +#13583 := (exists (vars (?x778 int)) #13578) +#13561 := (or #5579 #13538 #13552) +#13566 := (forall (vars (?x776 int)) #13561) +#13586 := (not #13566) +#13592 := (or #13586 #13583) +#13597 := (and #13566 #13592) +#13227 := (and #13222 #13225) +#13230 := (not #13227) +decl up_216 :: bool +#2482 := up_216 +#12113 := (not up_216) +#13624 := (or #12113 #12079 #12070 #12061 #12052 #13230 #13597) +#13629 := (and up_216 #13624) +#13654 := (or #13230 #13511 #13629) +#13245 := (>= #13247 1::int) +#13334 := (and #13243 #13245) +#13337 := (not #13334) +#13304 := (not #13303) +#13310 := (and #12352 #13304) +#13290 := (or #5579 #13267 #13281) +#13295 := (forall (vars (?x785 int)) #13290) +#13298 := (not #13295) +#13315 := (or #13298 #13310) +#13318 := (and #13295 #13315) +#13321 := (or #13264 #13318) +#13324 := (and #13259 #13321) +#13253 := (and #13234 #13251) +#13256 := (not #13253) +#13352 := (or #12401 #13256 #13324 #13331 #13337) +#13360 := (and #13243 #13245 #13352) +#13236 := (and #13225 #13234) +#13239 := (not #13236) +#13471 := (or #12566 #12557 #13230 #13239 #13360 #13416) +#12305 := (and #12293 #12302) +#12494 := (not #12305) +#13392 := (or #12476 #12467 #12494 #12485 #12449 #12440 #13365 #13239 #13360) +#13400 := (and #12293 #12302 #13392) +#12299 := (and #12293 #12296) +#12506 := (not #12299) +#13405 := (or #12506 #13400) +#13411 := (and #12293 #12296 #13405) +#13441 := (or #13230 #13411 #13417) +#13476 := (and #13441 #13471) +#13485 := (or #12494 #13230 #13476) +#13493 := (and #12293 #12302 #13485) +#13498 := (or #12506 #13493) +#13504 := (and #12293 #12296 #13498) +#13533 := (or #13230 #13504 #13510) +#13659 := (and #13533 #13654) +decl uf_55 :: (-> T4 T2) +#3004 := (uf_55 uf_287) +#11905 := (= uf_9 #3004) +#12003 := (and #11905 #11997) +#12141 := (not #12003) +#3176 := (and #3174 #3175) +#12733 := (not #3176) +#13852 := (or #12769 #12760 #12751 #12742 #12733 #12141 #13683 #13230 #13659 #13700 #13734 #13740 #13752 #13762 #13775 #13786) +#13860 := (and #3042 #13218 #13852) +#13206 := (or #5579 #13184 #13196) +#13211 := (forall (vars (?x773 int)) #13206) +#13214 := (not #13211) +#13865 := (or #13214 #13860) +#13868 := (and #13211 #13865) +#13871 := (or #13181 #13868) +#13874 := (and #13178 #13871) +#11940 := (and #11928 #11937) +#12985 := (not #11940) +#13895 := (or #12976 #12967 #12958 #12949 #12985 #13874) +#13903 := (and #11928 #11937 #13895) +#11934 := (and #11928 #11931) +#12997 := (not #11934) +#13908 := (or #12997 #13903) +#13914 := (and #11928 #11931 #13908) +#13919 := (or #13009 #13914) +#13922 := (and #11925 #13919) +#13152 := (+ uf_76 #13151) +#13150 := (>= #13152 0::int) +#13148 := (>= uf_286 0::int) +#13155 := (and #13148 #13150) +#13158 := (not #13155) decl uf_294 :: (-> int T5 T2) decl uf_293 :: int #3018 := uf_293 #3021 := (uf_294 uf_293 #23) #3022 := (pattern #3021) -#11909 := (= uf_9 #3021) -#11915 := (not #11909) -#11920 := (forall (vars (?x772 T5)) (:pat #3022) #11915) -decl uf_55 :: (-> T4 T2) -#3004 := (uf_55 uf_287) -#11903 := (= uf_9 #3004) +#11911 := (= uf_9 #3021) +#11917 := (not #11911) +#11922 := (forall (vars (?x772 T5)) (:pat #3022) #11917) +#13030 := (not #11922) decl uf_281 :: T1 #2954 := uf_281 #3002 := (uf_202 uf_281 uf_287) -#11900 := (= uf_9 #3002) +#11902 := (= uf_9 #3002) +#11908 := (and #11902 #11905) +#13075 := (not #11908) decl uf_203 :: (-> T4 T2) #3000 := (uf_203 uf_287) -#11897 := (= uf_9 #3000) -decl uf_23 :: (-> T3 T2) -#2993 := (uf_23 #2977) -#11879 := (= uf_9 #2993) -#2988 := (uf_24 uf_287 #2981) -#11870 := (= uf_9 #2988) -#2984 := (uf_25 uf_287 #2981) -#11864 := (= uf_26 #2984) -#2982 := (uf_27 uf_287 #2981) -#11860 := (= uf_9 #2982) +#11899 := (= uf_9 #3000) +#13084 := (not #11899) decl uf_173 :: (-> T4 int) #3019 := (uf_173 uf_287) #3020 := (= uf_293 #3019) +#13039 := (not #3020) #3017 := (up_291 uf_287 uf_281 uf_279 uf_286 uf_4) +#13048 := (not #3017) #3015 := (up_292 uf_287 uf_281 uf_280 #2979 #11) #3014 := (up_291 uf_287 uf_281 uf_280 #3013 #11) -#12823 := (and #3014 #3015 #3017 #3020 #11860 #11864 #11867 #11870 #11876 #11879 #11897 #11900 #11903 #11920 #12724 #12726 #12737 #12741 #12745 #12749 #12751 #12757 #12759 #12765 #12767) -#13406 := (+ uf_78 #13378) -#13405 := (>= #13406 0::int) -#13399 := (+ uf_76 #13356) -#13398 := (>= #13399 0::int) -#13055 := (+ uf_76 #12965) -#13395 := (>= #13055 0::int) -#13364 := (not #13362) -#4353 := (* -1::int uf_76) -#4354 := (+ #161 #4353) -#4355 := (<= #4354 0::int) -#13370 := (and #4041 #4355 #13364) -#13375 := (not #13370) -#13383 := (or #13375 #13380) -#13386 := (forall (vars (?x775 int)) #13383) -#13359 := (not #13358) -#13448 := (and #3055 #12030 #12741 #12910 #12913 #13359 #13386 #13389 #13392 #13395 #13398 #13402 #13405) -#13453 := (not #13448) -#13342 := (and #12910 #12913 #12967) -#13347 := (not #13342) -#13272 := (not #13270) -#13306 := (and #3142 #4041 #4355 #13272) -#13311 := (exists (vars (?x778 int)) #13306) -#13278 := (and #4041 #4355 #13272) -#13283 := (not #13278) -#13291 := (or #13283 #13288) -#13294 := (forall (vars (?x776 int)) #13291) -#13314 := (not #13294) -#13320 := (or #13314 #13311) -#13325 := (and #13294 #13320) -decl up_216 :: bool -#2482 := up_216 -#13262 := (and up_216 #12113 #12116 #12119 #12122 #12910 #12913) -#13267 := (not #13262) -#13328 := (or #13267 #13325) -#13331 := (and up_216 #13328) -#13350 := (or #13331 #13347) -#13211 := (and #12521 #12524 #12910 #12913 #12997 #13017) -#13216 := (not #13211) -#13129 := (not #13128) -#13135 := (and #12446 #13129) -#13098 := (not #13096) -#13104 := (and #4041 #4355 #13098) -#13109 := (not #13104) -#13117 := (or #13109 #13114) -#13120 := (forall (vars (?x785 int)) #13117) -#13123 := (not #13120) -#13140 := (or #13123 #13135) -#13143 := (and #13120 #13140) -#13146 := (or #13093 #13143) -#13149 := (and #13089 #13146) -#13054 := (>= #13055 1::int) -#13081 := (and #3258 #13017 #13051 #13054 #13059 #13061) -#13086 := (not #13081) -#13152 := (or #13086 #13149) -#13158 := (and #13051 #13054 #13152) -#13219 := (or #13158 #13216) -#13043 := (and #3236 #3237 #12346 #12355 #12375 #12380 #12383 #12913 #13017) -#13048 := (not #13043) -#13163 := (or #13048 #13158) -#13169 := (and #12346 #12355 #13163) -#12352 := (and #12346 #12349) -#12503 := (not #12352) -#13174 := (or #12503 #13169) -#13180 := (and #12346 #12349 #13174) -#13008 := (and #12910 #12913 #12996) -#13013 := (not #13008) -#13185 := (or #13013 #13180) -#13222 := (and #13185 #13219) -#12988 := (and #12346 #12355 #12910 #12913) -#12993 := (not #12988) -#13225 := (or #12993 #13222) -#13231 := (and #12346 #12355 #13225) -#13236 := (or #12503 #13231) -#13242 := (and #12346 #12349 #13236) -#12977 := (and #12910 #12913 #12968) -#12982 := (not #12977) -#13247 := (or #12982 #13242) -#13353 := (and #13247 #13350) -#12957 := (and #3195 #3196 #3197 #3198 #3199 #3200 #11903 #12067 #12261 #12910 #12913) -#12962 := (not #12957) -#13462 := (or #12962 #13353 #13453) -#13470 := (and #3055 #12741 #13462) -#12870 := (not #12869) -#12876 := (and #4041 #4355 #12870) -#12881 := (not #12876) -#12889 := (or #12881 #12885) -#12892 := (forall (vars (?x773 int)) #12889) -#12895 := (not #12892) -#13475 := (or #12895 #13470) -#13478 := (and #12892 #13475) -#13481 := (or #12866 #13478) -#13484 := (and #12863 #13481) -#12855 := (and #3055 #3056 #3057 #3058 #11970 #11979) -#12860 := (not #12855) -#13487 := (or #12860 #13484) -#13493 := (and #11970 #11979 #13487) -#11976 := (and #11970 #11973) -#12690 := (not #11976) -#13498 := (or #12690 #13493) -#13504 := (and #11970 #11973 #13498) -#13509 := (or #12702 #13504) -#13512 := (and #11967 #13509) -#12828 := (not #12823) -#13515 := (or #12828 #13512) -#13518 := (not #13515) -#3137 := (< #161 uf_286) -#3143 := (and #3137 #3142) +#3016 := (and #3014 #3015) +#13057 := (not #3016) +#14045 := (or #13057 #13048 #13039 #13084 #13075 #13030 #13158 #13217 #13922 #13934 #13940 #13950 #13972 #13986 #14000) +#14050 := (not #14045) +#1 := true +#3098 := (< #161 uf_286) +#3104 := (and #3098 #3103) #411 := (<= #161 uf_76) -#3144 := (and #411 #3143) +#3105 := (and #411 #3104) #285 := (<= 0::int #161) -#3145 := (and #285 #3144) -#3146 := (exists (vars (?x778 int)) #3145) -#3139 := (<= #3073 uf_302) +#3106 := (and #285 #3105) +#3107 := (exists (vars (?x778 int)) #3106) +#3108 := (and #3107 true) +#3099 := (<= #3054 uf_302) +#3100 := (implies #3098 #3099) #412 := (and #285 #411) -#3138 := (and #412 #3137) -#3140 := (implies #3138 #3139) -#3141 := (forall (vars (?x776 int)) #3140) -#3147 := (implies #3141 #3146) -#3148 := (and #3141 #3147) -#3129 := (= uf_302 uf_296) -#3127 := (= uf_301 uf_297) -#3130 := (and #3127 #3129) -#3125 := (= uf_300 uf_298) -#3131 := (and #3125 #3130) -#3123 := (= uf_299 uf_296) -#3132 := (and #3123 #3131) -#3084 := (<= 0::int uf_297) -#3091 := (<= 1::int uf_298) -#3092 := (and #3091 #3084) -#3133 := (and #3092 #3132) -#3134 := (and #3092 #3133) -#3135 := (and #3092 #3134) -#3136 := (and up_216 #3135) -#3149 := (implies #3136 #3148) -#3150 := (and up_216 #3149) -#3116 := (and #3092 #3092) -#3304 := (and #3092 #3116) -#3305 := (and #3092 #3304) -#3303 := (<= uf_286 uf_298) -#3306 := (and #3303 #3305) -#3307 := (and #3092 #3306) -#3308 := (implies #3307 #3150) -#3273 := (= #3272 uf_304) -#3270 := (< uf_305 uf_286) -#3274 := (and #3270 #3273) -#3267 := (<= #3073 uf_304) -#3265 := (< #161 uf_306) -#3266 := (and #412 #3265) -#3268 := (implies #3266 #3267) -#3269 := (forall (vars (?x785 int)) #3268) -#3275 := (implies #3269 #3274) -#3276 := (and #3269 #3275) -#3264 := (<= uf_306 uf_286) -#3277 := (implies #3264 #3276) -#3278 := (and #3264 #3277) -#3243 := (<= 0::int uf_305) -#3259 := (<= 2::int uf_306) -#3260 := (and #3259 #3243) -#3261 := (and #3258 #3260) -#3252 := (+ uf_298 1::int) -#3257 := (= uf_306 #3252) -#3262 := (and #3257 #3261) -#3254 := (<= #3252 uf_76) -#3253 := (<= 0::int #3252) -#3255 := (and #3253 #3254) -#3263 := (and #3255 #3262) -#3279 := (implies #3263 #3278) -#3280 := (and #3255 #3279) -#3244 := (and #3091 #3243) -#3288 := (= uf_305 uf_297) -#3289 := (and #3288 #3244) -#3287 := (= uf_304 uf_296) -#3290 := (and #3287 #3289) -#3291 := (and #3092 #3290) -#3292 := (and #3092 #3291) -#3293 := (and #3092 #3292) -#3286 := (<= #3230 uf_296) -#3294 := (and #3286 #3293) -#3295 := (and #3092 #3294) -#3296 := (implies #3295 #3280) -#3245 := (and #3242 #3244) -#3240 := (= uf_304 uf_303) -#3246 := (and #3240 #3245) -#3238 := (and #3091 #3091) -#3247 := (and #3238 #3246) -#3248 := (and #3237 #3247) -#3249 := (and #3236 #3248) -#3235 := (= uf_303 #3230) -#3250 := (and #3235 #3249) -#3227 := (= #3226 uf_9) -#3222 := (= #3221 uf_9) -#3228 := (and #3222 #3227) -#3251 := (and #3228 #3250) -#3281 := (implies #3251 #3280) -#3282 := (and #3228 #3281) -#3224 := (= #3223 uf_9) -#3225 := (and #3222 #3224) -#3283 := (implies #3225 #3282) -#3284 := (and #3225 #3283) -#3231 := (< uf_296 #3230) -#3232 := (and #3231 #3116) -#3233 := (and #3092 #3232) -#3285 := (implies #3233 #3284) -#3297 := (and #3285 #3296) -#3229 := (and #3228 #3092) -#3298 := (implies #3229 #3297) -#3299 := (and #3228 #3298) -#3300 := (implies #3225 #3299) -#3301 := (and #3225 #3300) -#3217 := (< uf_298 uf_286) -#3218 := (and #3217 #3116) -#3219 := (and #3092 #3218) -#3302 := (implies #3219 #3301) -#3309 := (and #3302 #3308) +#3101 := (implies #412 #3100) +#3102 := (forall (vars (?x776 int)) #3101) +#3109 := (implies #3102 #3108) +#3110 := (and #3102 #3109) +#3097 := (= uf_302 uf_296) +#3111 := (implies #3097 #3110) +#3095 := (= uf_301 uf_297) +#3112 := (implies #3095 #3111) +#3093 := (= uf_300 uf_298) +#3113 := (implies #3093 #3112) +#3091 := (= uf_299 uf_296) +#3114 := (implies #3091 #3113) +#3066 := (<= 0::int uf_297) +#3073 := (<= 1::int uf_298) +#3074 := (and #3073 #3066) +#3115 := (implies #3074 #3114) +#3116 := (implies #3074 #3115) +#3117 := (implies #3074 #3116) +#3118 := (implies up_216 #3117) +#3119 := (and up_216 #3118) +#3120 := (implies #3074 #3119) +#3121 := (implies #3074 #3120) +#3269 := (implies #3074 #3121) +#3270 := (implies #3074 #3269) +#3268 := (<= uf_286 uf_298) +#3271 := (implies #3268 #3270) +#3272 := (implies #3074 #3271) +#3221 := (= #3220 uf_304) +#3218 := (< uf_305 uf_286) +#3222 := (and #3218 #3221) +#3223 := (and #3222 true) +#3214 := (<= #3054 uf_304) +#3213 := (< #161 uf_306) +#3215 := (implies #3213 #3214) +#3216 := (implies #412 #3215) +#3217 := (forall (vars (?x785 int)) #3216) +#3224 := (implies #3217 #3223) +#3225 := (and #3217 #3224) +#3212 := (<= uf_306 uf_286) +#3226 := (implies #3212 #3225) +#3227 := (and #3212 #3226) +#3201 := (<= 0::int uf_305) +#3210 := (<= 2::int uf_306) +#3211 := (and #3210 #3201) +#3228 := (implies #3211 #3227) +#3229 := (implies #3209 #3228) +#3203 := (+ uf_298 1::int) +#3208 := (= uf_306 #3203) +#3230 := (implies #3208 #3229) +#3205 := (<= #3203 uf_76) +#3204 := (<= 0::int #3203) +#3206 := (and #3204 #3205) +#3231 := (implies #3206 #3230) +#3232 := (and #3206 #3231) +#3202 := (and #3073 #3201) +#3233 := (implies #3202 #3232) +#3250 := (= uf_305 uf_297) +#3251 := (implies #3250 #3233) +#3249 := (= uf_304 uf_296) +#3252 := (implies #3249 #3251) +#3253 := (implies #3074 #3252) +#3254 := (implies #3074 #3253) +#3255 := (implies #3074 #3254) +#3248 := (<= #3190 uf_296) +#3256 := (implies #3248 #3255) +#3257 := (implies #3074 #3256) +#3200 := (= uf_305 uf_298) +#3234 := (implies #3200 #3233) +#3198 := (= uf_304 uf_303) +#3235 := (implies #3198 #3234) +#3196 := (and #3073 #3073) +#3236 := (implies #3196 #3235) +#3237 := (implies #3195 #3236) +#3238 := (implies #3194 #3237) +#3193 := (= uf_303 #3190) +#3239 := (implies #3193 #3238) +#3188 := (= #3187 uf_9) +#3183 := (= #3182 uf_9) +#3189 := (and #3183 #3188) +#3240 := (implies #3189 #3239) +#3241 := (and #3189 #3240) +#3185 := (= #3184 uf_9) +#3186 := (and #3183 #3185) +#3242 := (implies #3186 #3241) +#3243 := (and #3186 #3242) +#3244 := (implies #3074 #3243) +#3245 := (implies #3074 #3244) +#3191 := (< uf_296 #3190) +#3246 := (implies #3191 #3245) +#3247 := (implies #3074 #3246) +#3258 := (and #3247 #3257) +#3259 := (implies #3074 #3258) +#3260 := (implies #3189 #3259) +#3261 := (and #3189 #3260) +#3262 := (implies #3186 #3261) +#3263 := (and #3186 #3262) +#3264 := (implies #3074 #3263) +#3265 := (implies #3074 #3264) +#3180 := (< uf_298 uf_286) +#3266 := (implies #3180 #3265) +#3267 := (implies #3074 #3266) +#3273 := (and #3267 #3272) +#3274 := (implies #3074 #3273) decl uf_41 :: (-> T4 T12) -#3152 := (uf_41 uf_287) -#3203 := (= #3152 #3152) -#3202 := (= #3175 #3175) -#3204 := (and #3202 #3203) -#3205 := (and #3204 #3092) -#3201 := (and #3199 #3200) -#3206 := (and #3201 #3205) -#3207 := (and #3198 #3206) -#3208 := (and #3197 #3207) -#3209 := (and #3196 #3208) -#3210 := (and #3195 #3209) +#3127 := (uf_41 uf_287) +#3178 := (= #3127 #3127) +#3177 := (= #3150 #3150) +#3179 := (and #3177 #3178) +#3275 := (implies #3179 #3274) +#3276 := (implies #3176 #3275) +#3277 := (implies #3173 #3276) +#3278 := (implies #3172 #3277) +#3279 := (implies #3171 #3278) +#3280 := (implies #3170 #3279) #3005 := (= #3004 uf_9) -#3114 := (= #3113 uf_9) -#3115 := (and #3114 #3005) -#3211 := (and #3115 #3210) -#3188 := (= #3187 uf_9) +#3088 := (= #3087 uf_9) +#3089 := (and #3088 #3005) +#3281 := (implies #3089 #3280) +#3163 := (= #3162 uf_9) decl uf_172 :: (-> T4 T5 int) -#3183 := (uf_172 uf_287 #23) -#3184 := (pattern #3183) -#3185 := (<= #3183 #3183) -#3186 := (forall (vars (?x783 T5)) (:pat #3184) #3185) -#3189 := (and #3186 #3188) -#3182 := (<= #3019 #3019) -#3190 := (and #3182 #3189) -#3212 := (and #3190 #3211) -#3176 := (uf_58 #3175 #23) -#3177 := (pattern #3176) -#3165 := (uf_68 uf_287 #23) -#3166 := (= #3165 uf_9) -#3178 := (= #3176 #3176) -#3179 := (and #3178 #3166) -#3180 := (implies #3166 #3179) -#3181 := (forall (vars (?x782 T5)) (:pat #3177) #3180) -#3191 := (and #3181 #3190) +#3158 := (uf_172 uf_287 #23) +#3159 := (pattern #3158) +#3160 := (<= #3158 #3158) +#3161 := (forall (vars (?x783 T5)) (:pat #3159) #3160) +#3164 := (and #3161 #3163) +#3157 := (<= #3019 #3019) +#3165 := (and #3157 #3164) +#3282 := (implies #3165 #3281) +#3151 := (uf_58 #3150 #23) +#3152 := (pattern #3151) +#3140 := (uf_68 uf_287 #23) +#3141 := (= #3140 uf_9) +#3153 := (= #3151 #3151) +#3154 := (and #3153 #3141) +#3155 := (implies #3141 #3154) +#3156 := (forall (vars (?x782 T5)) (:pat #3152) #3155) +#3166 := (and #3156 #3165) decl uf_40 :: (-> T12 T5 T11) -#3153 := (uf_40 #3152 #23) -#3154 := (pattern #3153) -#3171 := (= #3153 #3153) -#3172 := (and #3171 #3166) -#3173 := (implies #3166 #3172) -#3174 := (forall (vars (?x781 T5)) (:pat #3154) #3173) -#3192 := (and #3174 #3191) +#3128 := (uf_40 #3127 #23) +#3129 := (pattern #3128) +#3146 := (= #3128 #3128) +#3147 := (and #3146 #3141) +#3148 := (implies #3141 #3147) +#3149 := (forall (vars (?x781 T5)) (:pat #3129) #3148) +#3167 := (and #3149 #3166) decl uf_19 :: (-> T9 T5 int) decl uf_20 :: (-> T4 T9) -#3162 := (uf_20 uf_287) -#3163 := (uf_19 #3162 #23) -#3164 := (pattern #3163) -#3167 := (= #3163 #3163) -#3168 := (and #3167 #3166) -#3169 := (implies #3166 #3168) -#3170 := (forall (vars (?x780 T5)) (:pat #3164) #3169) -#3193 := (and #3170 #3192) +#3137 := (uf_20 uf_287) +#3138 := (uf_19 #3137 #23) +#3139 := (pattern #3138) +#3142 := (= #3138 #3138) +#3143 := (and #3142 #3141) +#3144 := (implies #3141 #3143) +#3145 := (forall (vars (?x780 T5)) (:pat #3139) #3144) +#3168 := (and #3145 #3167) decl uf_261 :: T8 #2837 := uf_261 -#3155 := (uf_25 uf_287 #23) -#3156 := (uf_13 #3155) -#3157 := (uf_12 #3156) -#3158 := (= #3157 uf_261) -#3159 := (not #3158) -#3160 := (implies #3159 #3159) -#3161 := (forall (vars (?x779 T5)) (:pat #3154) #3160) -#3194 := (and #3161 #3193) -#3213 := (and #3194 #3212) -#3214 := (and #3092 #3213) -#3215 := (and #3092 #3214) -#3216 := (and #3092 #3215) -#3310 := (implies #3216 #3309) -#3117 := (and #3115 #3116) -#3118 := (and #3092 #3117) -#3119 := (and #3092 #3118) -#1 := true -#3112 := (not true) -#3120 := (and #3112 #3119) -#3121 := (and #3092 #3120) -#3151 := (implies #3121 #3150) -#3311 := (and #3151 #3310) -#3102 := (= #3101 uf_296) -#3099 := (< uf_297 uf_286) -#3103 := (and #3099 #3102) -#3104 := (and #3103 #3092) -#3096 := (<= #3073 uf_296) -#3094 := (< #161 uf_298) -#3095 := (and #412 #3094) -#3097 := (implies #3095 #3096) -#3098 := (forall (vars (?x775 int)) #3097) -#3105 := (and #3098 #3104) -#3093 := (<= uf_298 uf_286) -#3106 := (and #3093 #3105) -#3107 := (and #3092 #3106) -#3089 := (<= uf_298 uf_76) -#3088 := (<= 0::int uf_298) -#3090 := (and #3088 #3089) -#3108 := (and #3090 #3107) -#3085 := (<= uf_297 uf_76) -#3086 := (and #3084 #3085) -#3109 := (and #3086 #3108) -#3081 := (<= uf_296 uf_78) -#3080 := (<= 0::int uf_296) -#3082 := (and #3080 #3081) -#3110 := (and #3082 #3109) -#3077 := (= #3054 uf_295) +#3130 := (uf_25 uf_287 #23) +#3131 := (uf_13 #3130) +#3132 := (uf_12 #3131) +#3133 := (= #3132 uf_261) +#3134 := (not #3133) +#3135 := (implies #3134 #3134) +#3136 := (forall (vars (?x779 T5)) (:pat #3129) #3135) +#3169 := (and #3136 #3168) +#3283 := (implies #3169 #3282) +#3284 := (implies #3074 #3283) +#3285 := (implies #3074 #3284) +#3286 := (implies #3074 #3285) +#3122 := (implies #3089 #3121) +#3123 := (implies #3074 #3122) +#3124 := (implies #3074 #3123) +#3086 := (not true) +#3125 := (implies #3086 #3124) +#3126 := (implies #3074 #3125) +#3287 := (and #3126 #3286) +#3288 := (implies #3074 #3287) +#3084 := (= #3083 uf_296) +#3081 := (< uf_297 uf_286) +#3085 := (and #3081 #3084) +#3289 := (implies #3085 #3288) +#3077 := (<= #3054 uf_296) +#3076 := (< #161 uf_298) +#3078 := (implies #3076 #3077) +#3079 := (implies #412 #3078) +#3080 := (forall (vars (?x775 int)) #3079) +#3290 := (implies #3080 #3289) +#3075 := (<= uf_298 uf_286) +#3291 := (implies #3075 #3290) +#3292 := (implies #3074 #3291) +#3071 := (<= uf_298 uf_76) +#3070 := (<= 0::int uf_298) +#3072 := (and #3070 #3071) +#3293 := (implies #3072 #3292) +#3067 := (<= uf_297 uf_76) +#3068 := (and #3066 #3067) +#3294 := (implies #3068 #3293) +#3063 := (<= uf_296 uf_78) +#3062 := (<= 0::int uf_296) +#3064 := (and #3062 #3063) +#3295 := (implies #3064 #3294) +#3059 := (= #3041 uf_295) #2975 := (< 0::int uf_286) -#3078 := (and #2975 #3077) -#3111 := (and #3078 #3110) -#3312 := (implies #3111 #3311) -#3313 := (and #3078 #3312) -#3074 := (<= #3073 uf_295) -#3070 := (< #161 1::int) -#3071 := (and #412 #3070) -#3075 := (implies #3071 #3074) -#3076 := (forall (vars (?x773 int)) #3075) -#3314 := (implies #3076 #3313) -#3315 := (and #3076 #3314) -#3069 := (<= 1::int uf_286) -#3316 := (implies #3069 #3315) -#3317 := (and #3069 #3316) -#3060 := (<= 0::int 0::int) -#3061 := (and #3060 #3060) -#3059 := (<= 1::int 1::int) -#3062 := (and #3059 #3061) -#3063 := (and #3059 #3062) -#3064 := (and #3058 #3063) -#3065 := (and #3057 #3064) -#3066 := (and #3056 #3065) -#3067 := (and #3055 #3066) -#3051 := (= #3050 uf_9) -#3046 := (= #3045 uf_9) -#3052 := (and #3046 #3051) -#3068 := (and #3052 #3067) -#3318 := (implies #3068 #3317) -#3319 := (and #3052 #3318) -#3048 := (= #3047 uf_9) +#3060 := (and #2975 #3059) +#3296 := (implies #3060 #3295) +#3297 := (and #3060 #3296) +#3055 := (<= #3054 uf_295) +#3052 := (< #161 1::int) +#3056 := (implies #3052 #3055) +#3057 := (implies #412 #3056) +#3058 := (forall (vars (?x773 int)) #3057) +#3298 := (implies #3058 #3297) +#3299 := (and #3058 #3298) +#3051 := (<= 1::int uf_286) +#3300 := (implies #3051 #3299) +#3301 := (and #3051 #3300) +#3047 := (<= 0::int 0::int) +#3048 := (and #3047 #3047) +#3046 := (<= 1::int 1::int) #3049 := (and #3046 #3048) -#3320 := (implies #3049 #3319) -#3321 := (and #3049 #3320) -#3043 := (= #3042 uf_9) -#3322 := (implies #3043 #3321) -#3323 := (and #3043 #3322) +#3050 := (and #3046 #3049) +#3302 := (implies #3050 #3301) +#3303 := (implies #3045 #3302) +#3304 := (implies #3044 #3303) +#3305 := (implies #3043 #3304) +#3306 := (implies #3042 #3305) +#3038 := (= #3037 uf_9) +#3033 := (= #3032 uf_9) +#3039 := (and #3033 #3038) +#3307 := (implies #3039 #3306) +#3308 := (and #3039 #3307) +#3035 := (= #3034 uf_9) +#3036 := (and #3033 #3035) +#3309 := (implies #3036 #3308) +#3310 := (and #3036 #3309) +#3030 := (= #3029 uf_9) +#3311 := (implies #3030 #3310) +#3312 := (and #3030 #3311) #3027 := (<= uf_286 uf_76) #3026 := (<= 0::int uf_286) #3028 := (and #3026 #3027) +#3313 := (implies #3028 #3312) #3023 := (= #3021 uf_9) #3024 := (iff #3023 false) #3025 := (forall (vars (?x772 T5)) (:pat #3022) #3024) -#3029 := (and #3025 #3028) -#3030 := (and #3020 #3029) -#3031 := (and #3017 #3030) -#3016 := (and #3014 #3015) -#3032 := (and #3016 #3031) +#3314 := (implies #3025 #3313) +#3315 := (implies #3020 #3314) +#3316 := (implies #3017 #3315) +#3317 := (implies #3016 #3316) #3011 := (< #3008 uf_290) #3012 := (forall (vars (?x771 T19)) (:pat #3009) #3011) -#3033 := (and #3012 #3032) +#3318 := (implies #3012 #3317) #3003 := (= #3002 uf_9) #3006 := (and #3003 #3005) -#3034 := (and #3006 #3033) +#3319 := (implies #3006 #3318) #3001 := (= #3000 uf_9) -#3035 := (and #3001 #3034) +#3320 := (implies #3001 #3319) #2994 := (= #2993 uf_9) #2991 := (= #2990 uf_14) #2992 := (not #2991) @@ -1336,1710 +1288,2237 @@ #2998 := (and #2985 #2997) #2983 := (= #2982 uf_9) #2999 := (and #2983 #2998) -#3036 := (and #2999 #3035) -#3037 := (and #2975 #3036) +#3321 := (implies #2999 #3320) +#3322 := (implies #2975 #3321) #2974 := (< uf_286 1099511627776::int) -#3038 := (and #2974 #3037) +#3323 := (implies #2974 #3322) #2971 := (<= uf_285 uf_76) #2970 := (<= 0::int uf_285) #2972 := (and #2970 #2971) -#3039 := (and #2972 #3038) +#3324 := (implies #2972 #3323) #2967 := (<= uf_284 uf_76) #2966 := (<= 0::int uf_284) #2968 := (and #2966 #2967) -#3040 := (and #2968 #3039) +#3325 := (implies #2968 #3324) #2963 := (<= uf_283 uf_78) #2962 := (<= 0::int uf_283) #2964 := (and #2962 #2963) -#3041 := (and #2964 #3040) -#3324 := (implies #3041 #3323) -#3325 := (not #3324) -#13521 := (iff #3325 #13518) -#12020 := (and #3084 #3091) -#12605 := (and #3303 #12020) -#12608 := (and #12020 #12605) -#12614 := (not #12608) -#12146 := (not #3138) -#12147 := (or #12146 #3139) -#12150 := (forall (vars (?x776 int)) #12147) -#12156 := (not #12150) -#12157 := (or #3146 #12156) -#12162 := (and #12150 #12157) -#12125 := (and #12119 #12122) -#12128 := (and #12116 #12125) -#12131 := (and #12113 #12128) -#12134 := (and #12020 #12131) -#12137 := (and #12020 #12134) -#12140 := (and #12020 #12137) -#12143 := (and up_216 #12140) -#12168 := (not #12143) -#12169 := (or #12168 #12162) -#12174 := (and up_216 #12169) -#12615 := (or #12174 #12614) -#12530 := (and #3244 #12524) -#12535 := (and #12521 #12530) -#12538 := (and #12020 #12535) -#12541 := (and #12020 #12538) -#12544 := (and #12020 #12541) -#12547 := (and #3286 #12544) -#12550 := (and #12020 #12547) -#12556 := (not #12550) -#12449 := (and #3270 #12446) -#12439 := (not #3266) -#12440 := (or #12439 #3267) -#12443 := (forall (vars (?x785 int)) #12440) -#12455 := (not #12443) -#12456 := (or #12455 #12449) -#12461 := (and #12443 #12456) -#12467 := (not #3264) -#12468 := (or #12467 #12461) -#12473 := (and #3264 #12468) -#12427 := (and #3243 #3259) -#12430 := (and #3258 #12427) -#12412 := (+ 1::int uf_298) -#12424 := (= uf_306 #12412) -#12433 := (and #12424 #12430) -#12418 := (<= #12412 uf_76) -#12415 := (<= 0::int #12412) -#12421 := (and #12415 #12418) -#12436 := (and #12421 #12433) -#12479 := (not #12436) -#12480 := (or #12479 #12473) -#12485 := (and #12421 #12480) -#12557 := (or #12485 #12556) -#12389 := (and #3244 #12383) -#12394 := (and #12380 #12389) -#12397 := (and #3091 #12394) -#12400 := (and #3237 #12397) -#12403 := (and #3236 #12400) -#12406 := (and #12375 #12403) -#12358 := (and #12346 #12355) -#12409 := (and #12358 #12406) -#12491 := (not #12409) -#12492 := (or #12491 #12485) -#12497 := (and #12358 #12492) -#12504 := (or #12503 #12497) -#12509 := (and #12352 #12504) -#12369 := (and #3231 #12020) -#12372 := (and #12020 #12369) -#12515 := (not #12372) -#12516 := (or #12515 #12509) -#12562 := (and #12516 #12557) -#12364 := (and #12020 #12358) -#12568 := (not #12364) -#12569 := (or #12568 #12562) -#12574 := (and #12358 #12569) -#12580 := (or #12503 #12574) -#12585 := (and #12352 #12580) -#12340 := (and #3217 #12020) -#12343 := (and #12020 #12340) -#12591 := (not #12343) -#12592 := (or #12591 #12585) -#12620 := (and #12592 #12615) -#12307 := (and #3201 #12020) -#12310 := (and #3198 #12307) -#12313 := (and #3197 #12310) -#12316 := (and #3196 #12313) -#12319 := (and #3195 #12316) -#12073 := (and #11903 #12067) -#12322 := (and #12073 #12319) -#12264 := (and #3186 #12261) -#12267 := (and #3182 #12264) -#12325 := (and #12267 #12322) -#12328 := (and #12267 #12325) -#12331 := (and #12020 #12328) -#12334 := (and #12020 #12331) -#12337 := (and #12020 #12334) -#12626 := (not #12337) -#12627 := (or #12626 #12620) -#12033 := (and #3099 #12030) -#12039 := (and #12020 #12033) -#12023 := (not #3095) -#12024 := (or #12023 #3096) -#12027 := (forall (vars (?x775 int)) #12024) -#12044 := (and #12027 #12039) -#12047 := (and #3093 #12044) -#12050 := (and #12020 #12047) -#12053 := (and #3090 #12050) -#12056 := (and #3086 #12053) -#12059 := (and #3082 #12056) -#12017 := (and #2975 #3055) -#12062 := (and #12017 #12059) -#12642 := (not #12062) -#12643 := (or #12642 #12627) -#12648 := (and #12017 #12643) -#12008 := (not #3071) -#12009 := (or #12008 #3074) -#12012 := (forall (vars (?x773 int)) #12009) -#12654 := (not #12012) -#12655 := (or #12654 #12648) -#12660 := (and #12012 #12655) -#12666 := (not #3069) -#12667 := (or #12666 #12660) -#12672 := (and #3069 #12667) -#11987 := (and #3059 #3060) -#11990 := (and #3059 #11987) -#11993 := (and #3058 #11990) -#11996 := (and #3057 #11993) -#11999 := (and #3056 #11996) -#12002 := (and #3055 #11999) -#11982 := (and #11970 #11979) -#12005 := (and #11982 #12002) -#12678 := (not #12005) -#12679 := (or #12678 #12672) -#12684 := (and #11982 #12679) -#12691 := (or #12690 #12684) -#12696 := (and #11976 #12691) -#12703 := (or #12702 #12696) -#12708 := (and #11967 #12703) -#11926 := (and #3028 #11920) -#11931 := (and #3020 #11926) -#11934 := (and #3017 #11931) -#11937 := (and #3016 #11934) -#11940 := (and #3012 #11937) -#11906 := (and #11900 #11903) -#11943 := (and #11906 #11940) -#11946 := (and #11897 #11943) -#11882 := (and #11876 #11879) -#11885 := (and #11870 #11882) -#11888 := (and #11867 #11885) -#11891 := (and #11864 #11888) -#11894 := (and #11860 #11891) -#11949 := (and #11894 #11946) -#11952 := (and #2975 #11949) -#11955 := (and #2974 #11952) -#11958 := (and #2972 #11955) -#11961 := (and #2968 #11958) -#11964 := (and #2964 #11961) -#12714 := (not #11964) -#12715 := (or #12714 #12708) -#12720 := (not #12715) -#13519 := (iff #12720 #13518) -#13516 := (iff #12715 #13515) -#13513 := (iff #12708 #13512) -#13510 := (iff #12703 #13509) -#13507 := (iff #12696 #13504) -#13501 := (and #11976 #13498) +#3326 := (implies #2964 #3325) +#3327 := (not #3326) +#14053 := (iff #3327 #14050) +#12020 := (not #3098) +#12021 := (or #12020 #3099) +#5570 := (not #412) +#12027 := (or #5570 #12021) +#12032 := (forall (vars (?x776 int)) #12027) +#12040 := (not #12032) +#12041 := (or #3107 #12040) +#12046 := (and #12032 #12041) +#12053 := (or #12052 #12046) +#12062 := (or #12061 #12053) +#12071 := (or #12070 #12062) +#12080 := (or #12079 #12071) +#11971 := (and #3066 #3073) +#12088 := (not #11971) +#12089 := (or #12088 #12080) +#12097 := (or #12088 #12089) +#12105 := (or #12088 #12097) +#12114 := (or #12113 #12105) +#12119 := (and up_216 #12114) +#12125 := (or #12088 #12119) +#12133 := (or #12088 #12125) +#12682 := (or #12088 #12133) +#12690 := (or #12088 #12682) +#12698 := (not #3268) +#12699 := (or #12698 #12690) +#12707 := (or #12088 #12699) +#12355 := (and #3218 #12352) +#12337 := (not #3213) +#12338 := (or #12337 #3214) +#12344 := (or #5570 #12338) +#12349 := (forall (vars (?x785 int)) #12344) +#12368 := (not #12349) +#12369 := (or #12368 #12355) +#12374 := (and #12349 #12369) +#12380 := (not #3212) +#12381 := (or #12380 #12374) +#12386 := (and #3212 #12381) +#12334 := (and #3201 #3210) +#12392 := (not #12334) +#12393 := (or #12392 #12386) +#12402 := (or #12401 #12393) +#12319 := (+ 1::int uf_298) +#12331 := (= uf_306 #12319) +#12410 := (not #12331) +#12411 := (or #12410 #12402) +#12325 := (<= #12319 uf_76) +#12322 := (<= 0::int #12319) +#12328 := (and #12322 #12325) +#12419 := (not #12328) +#12420 := (or #12419 #12411) +#12425 := (and #12328 #12420) +#12431 := (not #3202) +#12432 := (or #12431 #12425) +#12558 := (or #12432 #12557) +#12567 := (or #12566 #12558) +#12575 := (or #12088 #12567) +#12583 := (or #12088 #12575) +#12591 := (or #12088 #12583) +#12599 := (not #3248) +#12600 := (or #12599 #12591) +#12608 := (or #12088 #12600) +#12441 := (or #12440 #12432) +#12450 := (or #12449 #12441) +#12458 := (not #3073) +#12459 := (or #12458 #12450) +#12468 := (or #12467 #12459) +#12477 := (or #12476 #12468) +#12486 := (or #12485 #12477) +#12495 := (or #12494 #12486) +#12500 := (and #12305 #12495) +#12507 := (or #12506 #12500) +#12512 := (and #12299 #12507) +#12518 := (or #12088 #12512) +#12526 := (or #12088 #12518) +#12534 := (not #3191) +#12535 := (or #12534 #12526) +#12543 := (or #12088 #12535) +#12613 := (and #12543 #12608) +#12619 := (or #12088 #12613) +#12627 := (or #12494 #12619) +#12632 := (and #12305 #12627) +#12638 := (or #12506 #12632) +#12643 := (and #12299 #12638) +#12649 := (or #12088 #12643) +#12657 := (or #12088 #12649) +#12665 := (not #3180) +#12666 := (or #12665 #12657) +#12674 := (or #12088 #12666) +#12712 := (and #12674 #12707) +#12718 := (or #12088 #12712) +#12734 := (or #12733 #12718) +#12743 := (or #12742 #12734) +#12752 := (or #12751 #12743) +#12761 := (or #12760 #12752) +#12770 := (or #12769 #12761) +#12778 := (or #12141 #12770) +#12257 := (and #3161 #12254) +#12260 := (and #3157 #12257) +#12786 := (not #12260) +#12787 := (or #12786 #12778) +#12795 := (or #12786 #12787) +#12803 := (or #12088 #12795) +#12811 := (or #12088 #12803) +#12819 := (or #12088 #12811) +#12834 := (or #12088 #12819) +#11992 := (and #3081 #11989) +#12842 := (not #11992) +#12843 := (or #12842 #12834) +#11974 := (not #3076) +#11975 := (or #11974 #3077) +#11981 := (or #5570 #11975) +#11986 := (forall (vars (?x775 int)) #11981) +#12851 := (not #11986) +#12852 := (or #12851 #12843) +#12860 := (not #3075) +#12861 := (or #12860 #12852) +#12869 := (or #12088 #12861) +#12877 := (not #3072) +#12878 := (or #12877 #12869) +#12886 := (not #3068) +#12887 := (or #12886 #12878) +#12895 := (not #3064) +#12896 := (or #12895 #12887) +#11968 := (and #2975 #3042) +#12904 := (not #11968) +#12905 := (or #12904 #12896) +#12910 := (and #11968 #12905) +#11951 := (not #3052) +#11952 := (or #11951 #3055) +#11958 := (or #5570 #11952) +#11963 := (forall (vars (?x773 int)) #11958) +#12916 := (not #11963) +#12917 := (or #12916 #12910) +#12922 := (and #11963 #12917) +#12928 := (not #3051) +#12929 := (or #12928 #12922) +#12934 := (and #3051 #12929) +#11945 := (and #3046 #3047) +#11948 := (and #3046 #11945) +#12940 := (not #11948) +#12941 := (or #12940 #12934) +#12950 := (or #12949 #12941) +#12959 := (or #12958 #12950) +#12968 := (or #12967 #12959) +#12977 := (or #12976 #12968) +#12986 := (or #12985 #12977) +#12991 := (and #11940 #12986) +#12998 := (or #12997 #12991) +#13003 := (and #11934 #12998) +#13010 := (or #13009 #13003) +#13015 := (and #11925 #13010) +#13021 := (not #3028) +#13022 := (or #13021 #13015) +#13031 := (or #13030 #13022) +#13040 := (or #13039 #13031) +#13049 := (or #13048 #13040) +#13058 := (or #13057 #13049) +#13066 := (not #3012) +#13067 := (or #13066 #13058) +#13076 := (or #13075 #13067) +#13085 := (or #13084 #13076) +#11884 := (and #11878 #11881) +#11887 := (and #11872 #11884) +#11890 := (and #11869 #11887) +#11893 := (and #11866 #11890) +#11896 := (and #11862 #11893) +#13093 := (not #11896) +#13094 := (or #13093 #13085) +#13102 := (not #2975) +#13103 := (or #13102 #13094) +#13111 := (not #2974) +#13112 := (or #13111 #13103) +#13120 := (not #2972) +#13121 := (or #13120 #13112) +#13129 := (not #2968) +#13130 := (or #13129 #13121) +#13138 := (not #2964) +#13139 := (or #13138 #13130) +#13144 := (not #13139) +#14051 := (iff #13144 #14050) +#14048 := (iff #13139 #14045) +#14003 := (or #13158 #13922) +#14006 := (or #13030 #14003) +#14009 := (or #13039 #14006) +#14012 := (or #13048 #14009) +#14015 := (or #13057 #14012) +#14018 := (or #13934 #14015) +#14021 := (or #13075 #14018) +#14024 := (or #13084 #14021) +#14027 := (or #13940 #14024) +#14030 := (or #13217 #14027) +#14033 := (or #13950 #14030) +#14036 := (or #13972 #14033) +#14039 := (or #13986 #14036) +#14042 := (or #14000 #14039) +#14046 := (iff #14042 #14045) +#14047 := [rewrite]: #14046 +#14043 := (iff #13139 #14042) +#14040 := (iff #13130 #14039) +#14037 := (iff #13121 #14036) +#14034 := (iff #13112 #14033) +#14031 := (iff #13103 #14030) +#14028 := (iff #13094 #14027) +#14025 := (iff #13085 #14024) +#14022 := (iff #13076 #14021) +#14019 := (iff #13067 #14018) +#14016 := (iff #13058 #14015) +#14013 := (iff #13049 #14012) +#14010 := (iff #13040 #14009) +#14007 := (iff #13031 #14006) +#14004 := (iff #13022 #14003) +#13923 := (iff #13015 #13922) +#13920 := (iff #13010 #13919) +#13917 := (iff #13003 #13914) +#13911 := (and #11934 #13908) +#13915 := (iff #13911 #13914) +#13916 := [rewrite]: #13915 +#13912 := (iff #13003 #13911) +#13909 := (iff #12998 #13908) +#13906 := (iff #12991 #13903) +#13900 := (and #11940 #13895) +#13904 := (iff #13900 #13903) +#13905 := [rewrite]: #13904 +#13901 := (iff #12991 #13900) +#13898 := (iff #12986 #13895) +#13877 := (or false #13874) +#13880 := (or #12949 #13877) +#13883 := (or #12958 #13880) +#13886 := (or #12967 #13883) +#13889 := (or #12976 #13886) +#13892 := (or #12985 #13889) +#13896 := (iff #13892 #13895) +#13897 := [rewrite]: #13896 +#13893 := (iff #12986 #13892) +#13890 := (iff #12977 #13889) +#13887 := (iff #12968 #13886) +#13884 := (iff #12959 #13883) +#13881 := (iff #12950 #13880) +#13878 := (iff #12941 #13877) +#13875 := (iff #12934 #13874) +#13872 := (iff #12929 #13871) +#13869 := (iff #12922 #13868) +#13866 := (iff #12917 #13865) +#13863 := (iff #12910 #13860) +#13778 := (and #13218 #3042) +#13857 := (and #13778 #13852) +#13861 := (iff #13857 #13860) +#13862 := [rewrite]: #13861 +#13858 := (iff #12910 #13857) +#13855 := (iff #12905 #13852) +#13789 := (or #13230 #13659) +#13792 := (or #12733 #13789) +#13795 := (or #12742 #13792) +#13798 := (or #12751 #13795) +#13801 := (or #12760 #13798) +#13804 := (or #12769 #13801) +#13807 := (or #12141 #13804) +#13810 := (or #13683 #13807) +#13813 := (or #13683 #13810) +#13816 := (or #13230 #13813) +#13819 := (or #13230 #13816) +#13822 := (or #13230 #13819) +#13825 := (or #13230 #13822) +#13828 := (or #13700 #13825) +#13831 := (or #13734 #13828) +#13834 := (or #13740 #13831) +#13837 := (or #13230 #13834) +#13840 := (or #13752 #13837) +#13843 := (or #13762 #13840) +#13846 := (or #13775 #13843) +#13849 := (or #13786 #13846) +#13853 := (iff #13849 #13852) +#13854 := [rewrite]: #13853 +#13850 := (iff #12905 #13849) +#13847 := (iff #12896 #13846) +#13844 := (iff #12887 #13843) +#13841 := (iff #12878 #13840) +#13838 := (iff #12869 #13837) +#13835 := (iff #12861 #13834) +#13832 := (iff #12852 #13831) +#13829 := (iff #12843 #13828) +#13826 := (iff #12834 #13825) +#13823 := (iff #12819 #13822) +#13820 := (iff #12811 #13819) +#13817 := (iff #12803 #13816) +#13814 := (iff #12795 #13813) +#13811 := (iff #12787 #13810) +#13808 := (iff #12778 #13807) +#13805 := (iff #12770 #13804) +#13802 := (iff #12761 #13801) +#13799 := (iff #12752 #13798) +#13796 := (iff #12743 #13795) +#13793 := (iff #12734 #13792) +#13790 := (iff #12718 #13789) +#13660 := (iff #12712 #13659) +#13657 := (iff #12707 #13654) +#13636 := (or #13230 #13629) +#13639 := (or #13230 #13636) +#13642 := (or #13230 #13639) +#13645 := (or #13230 #13642) +#13648 := (or #13511 #13645) +#13651 := (or #13230 #13648) +#13655 := (iff #13651 #13654) +#13656 := [rewrite]: #13655 +#13652 := (iff #12707 #13651) +#13649 := (iff #12699 #13648) +#13646 := (iff #12690 #13645) +#13643 := (iff #12682 #13642) +#13640 := (iff #12133 #13639) +#13637 := (iff #12125 #13636) +#13630 := (iff #12119 #13629) +#13627 := (iff #12114 #13624) +#13600 := (or #12052 #13597) +#13603 := (or #12061 #13600) +#13606 := (or #12070 #13603) +#13609 := (or #12079 #13606) +#13612 := (or #13230 #13609) +#13615 := (or #13230 #13612) +#13618 := (or #13230 #13615) +#13621 := (or #12113 #13618) +#13625 := (iff #13621 #13624) +#13626 := [rewrite]: #13625 +#13622 := (iff #12114 #13621) +#13619 := (iff #12105 #13618) +#13616 := (iff #12097 #13615) +#13613 := (iff #12089 #13612) +#13610 := (iff #12080 #13609) +#13607 := (iff #12071 #13606) +#13604 := (iff #12062 #13603) +#13601 := (iff #12053 #13600) +#13598 := (iff #12046 #13597) +#13595 := (iff #12041 #13592) +#13589 := (or #13583 #13586) +#13593 := (iff #13589 #13592) +#13594 := [rewrite]: #13593 +#13590 := (iff #12041 #13589) +#13587 := (iff #12040 #13586) +#13567 := (iff #12032 #13566) +#13564 := (iff #12027 #13561) +#13555 := (or #13538 #13552) +#13558 := (or #5579 #13555) +#13562 := (iff #13558 #13561) +#13563 := [rewrite]: #13562 +#13559 := (iff #12027 #13558) +#13556 := (iff #12021 #13555) +#13553 := (iff #3099 #13552) +#13554 := [rewrite]: #13553 +#13548 := (iff #12020 #13538) +#13543 := (not #13540) +#13546 := (iff #13543 #13538) +#13547 := [rewrite]: #13546 +#13544 := (iff #12020 #13543) +#13541 := (iff #3098 #13540) +#13542 := [rewrite]: #13541 +#13545 := [monotonicity #13542]: #13544 +#13549 := [trans #13545 #13547]: #13548 +#13557 := [monotonicity #13549 #13554]: #13556 +#5580 := (iff #5570 #5579) +#4365 := (iff #412 #4364) +#4358 := (iff #411 #4357) +#4359 := [rewrite]: #4358 +#4041 := (iff #285 #4043) +#4042 := [rewrite]: #4041 +#4366 := [monotonicity #4042 #4359]: #4365 +#5581 := [monotonicity #4366]: #5580 +#13560 := [monotonicity #5581 #13557]: #13559 +#13565 := [trans #13560 #13563]: #13564 +#13568 := [quant-intro #13565]: #13567 +#13588 := [monotonicity #13568]: #13587 +#13584 := (iff #3107 #13583) +#13581 := (iff #3106 #13578) +#13569 := (and #13540 #3103) +#13572 := (and #4357 #13569) +#13575 := (and #4043 #13572) +#13579 := (iff #13575 #13578) +#13580 := [rewrite]: #13579 +#13576 := (iff #3106 #13575) +#13573 := (iff #3105 #13572) +#13570 := (iff #3104 #13569) +#13571 := [monotonicity #13542]: #13570 +#13574 := [monotonicity #4359 #13571]: #13573 +#13577 := [monotonicity #4042 #13574]: #13576 +#13582 := [trans #13577 #13580]: #13581 +#13585 := [quant-intro #13582]: #13584 +#13591 := [monotonicity #13585 #13588]: #13590 +#13596 := [trans #13591 #13594]: #13595 +#13599 := [monotonicity #13568 #13596]: #13598 +#13602 := [monotonicity #13599]: #13601 +#13605 := [monotonicity #13602]: #13604 +#13608 := [monotonicity #13605]: #13607 +#13611 := [monotonicity #13608]: #13610 +#13231 := (iff #12088 #13230) +#13228 := (iff #11971 #13227) +#13224 := (iff #3073 #13225) +#13226 := [rewrite]: #13224 +#13221 := (iff #3066 #13222) +#13223 := [rewrite]: #13221 +#13229 := [monotonicity #13223 #13226]: #13228 +#13232 := [monotonicity #13229]: #13231 +#13614 := [monotonicity #13232 #13611]: #13613 +#13617 := [monotonicity #13232 #13614]: #13616 +#13620 := [monotonicity #13232 #13617]: #13619 +#13623 := [monotonicity #13620]: #13622 +#13628 := [trans #13623 #13626]: #13627 +#13631 := [monotonicity #13628]: #13630 +#13638 := [monotonicity #13232 #13631]: #13637 +#13641 := [monotonicity #13232 #13638]: #13640 +#13644 := [monotonicity #13232 #13641]: #13643 +#13647 := [monotonicity #13232 #13644]: #13646 +#13634 := (iff #12698 #13511) +#13632 := (iff #3268 #13510) +#13633 := [rewrite]: #13632 +#13635 := [monotonicity #13633]: #13634 +#13650 := [monotonicity #13635 #13647]: #13649 +#13653 := [monotonicity #13232 #13650]: #13652 +#13658 := [trans #13653 #13656]: #13657 +#13536 := (iff #12674 #13533) +#13521 := (or #13230 #13504) +#13524 := (or #13230 #13521) +#13527 := (or #13510 #13524) +#13530 := (or #13230 #13527) +#13534 := (iff #13530 #13533) +#13535 := [rewrite]: #13534 +#13531 := (iff #12674 #13530) +#13528 := (iff #12666 #13527) +#13525 := (iff #12657 #13524) +#13522 := (iff #12649 #13521) +#13507 := (iff #12643 #13504) +#13501 := (and #12299 #13498) #13505 := (iff #13501 #13504) #13506 := [rewrite]: #13505 -#13502 := (iff #12696 #13501) -#13499 := (iff #12691 #13498) -#13496 := (iff #12684 #13493) -#13490 := (and #11982 #13487) +#13502 := (iff #12643 #13501) +#13499 := (iff #12638 #13498) +#13496 := (iff #12632 #13493) +#13490 := (and #12305 #13485) #13494 := (iff #13490 #13493) #13495 := [rewrite]: #13494 -#13491 := (iff #12684 #13490) -#13488 := (iff #12679 #13487) -#13485 := (iff #12672 #13484) -#13482 := (iff #12667 #13481) -#13479 := (iff #12660 #13478) -#13476 := (iff #12655 #13475) -#13473 := (iff #12648 #13470) -#13442 := (and #12741 #3055) -#13467 := (and #13442 #13462) -#13471 := (iff #13467 #13470) -#13472 := [rewrite]: #13471 -#13468 := (iff #12648 #13467) -#13465 := (iff #12643 #13462) -#13456 := (or #12962 #13353) -#13459 := (or #13453 #13456) -#13463 := (iff #13459 #13462) -#13464 := [rewrite]: #13463 -#13460 := (iff #12643 #13459) -#13457 := (iff #12627 #13456) -#13354 := (iff #12620 #13353) -#13351 := (iff #12615 #13350) -#13348 := (iff #12614 #13347) -#13345 := (iff #12608 #13342) -#12915 := (and #12910 #12913) -#13336 := (and #12967 #12915) -#13339 := (and #12915 #13336) -#13343 := (iff #13339 #13342) -#13344 := [rewrite]: #13343 -#13340 := (iff #12608 #13339) -#13337 := (iff #12605 #13336) -#12916 := (iff #12020 #12915) -#12912 := (iff #3091 #12913) -#12914 := [rewrite]: #12912 -#12909 := (iff #3084 #12910) -#12911 := [rewrite]: #12909 -#12917 := [monotonicity #12911 #12914]: #12916 -#13334 := (iff #3303 #12967) -#13335 := [rewrite]: #13334 -#13338 := [monotonicity #13335 #12917]: #13337 -#13341 := [monotonicity #12917 #13338]: #13340 -#13346 := [trans #13341 #13344]: #13345 -#13349 := [monotonicity #13346]: #13348 -#13332 := (iff #12174 #13331) -#13329 := (iff #12169 #13328) -#13326 := (iff #12162 #13325) -#13323 := (iff #12157 #13320) -#13317 := (or #13311 #13314) -#13321 := (iff #13317 #13320) -#13322 := [rewrite]: #13321 -#13318 := (iff #12157 #13317) -#13315 := (iff #12156 #13314) -#13295 := (iff #12150 #13294) -#13292 := (iff #12147 #13291) -#13289 := (iff #3139 #13288) -#13290 := [rewrite]: #13289 -#13284 := (iff #12146 #13283) -#13281 := (iff #3138 #13278) -#4362 := (and #4041 #4355) -#13275 := (and #4362 #13272) -#13279 := (iff #13275 #13278) -#13280 := [rewrite]: #13279 -#13276 := (iff #3138 #13275) -#13273 := (iff #3137 #13272) -#13274 := [rewrite]: #13273 -#4363 := (iff #412 #4362) -#4356 := (iff #411 #4355) -#4357 := [rewrite]: #4356 -#4039 := (iff #285 #4041) -#4040 := [rewrite]: #4039 -#4364 := [monotonicity #4040 #4357]: #4363 -#13277 := [monotonicity #4364 #13274]: #13276 -#13282 := [trans #13277 #13280]: #13281 -#13285 := [monotonicity #13282]: #13284 -#13293 := [monotonicity #13285 #13290]: #13292 -#13296 := [quant-intro #13293]: #13295 -#13316 := [monotonicity #13296]: #13315 -#13312 := (iff #3146 #13311) -#13309 := (iff #3145 #13306) -#13297 := (and #13272 #3142) -#13300 := (and #4355 #13297) -#13303 := (and #4041 #13300) -#13307 := (iff #13303 #13306) -#13308 := [rewrite]: #13307 -#13304 := (iff #3145 #13303) -#13301 := (iff #3144 #13300) -#13298 := (iff #3143 #13297) -#13299 := [monotonicity #13274]: #13298 -#13302 := [monotonicity #4357 #13299]: #13301 -#13305 := [monotonicity #4040 #13302]: #13304 -#13310 := [trans #13305 #13308]: #13309 -#13313 := [quant-intro #13310]: #13312 -#13319 := [monotonicity #13313 #13316]: #13318 -#13324 := [trans #13319 #13322]: #13323 -#13327 := [monotonicity #13296 #13324]: #13326 -#13268 := (iff #12168 #13267) -#13265 := (iff #12143 #13262) -#13250 := (and #12915 #12131) -#13253 := (and #12915 #13250) -#13256 := (and #12915 #13253) -#13259 := (and up_216 #13256) -#13263 := (iff #13259 #13262) -#13264 := [rewrite]: #13263 -#13260 := (iff #12143 #13259) -#13257 := (iff #12140 #13256) -#13254 := (iff #12137 #13253) -#13251 := (iff #12134 #13250) -#13252 := [monotonicity #12917]: #13251 -#13255 := [monotonicity #12917 #13252]: #13254 -#13258 := [monotonicity #12917 #13255]: #13257 -#13261 := [monotonicity #13258]: #13260 -#13266 := [trans #13261 #13264]: #13265 -#13269 := [monotonicity #13266]: #13268 -#13330 := [monotonicity #13269 #13327]: #13329 +#13491 := (iff #12632 #13490) +#13488 := (iff #12627 #13485) +#13479 := (or #13230 #13476) +#13482 := (or #12494 #13479) +#13486 := (iff #13482 #13485) +#13487 := [rewrite]: #13486 +#13483 := (iff #12627 #13482) +#13480 := (iff #12619 #13479) +#13477 := (iff #12613 #13476) +#13474 := (iff #12608 #13471) +#13368 := (or #13239 #13360) +#13450 := (or #13368 #12557) +#13453 := (or #12566 #13450) +#13456 := (or #13230 #13453) +#13459 := (or #13230 #13456) +#13462 := (or #13230 #13459) +#13465 := (or #13416 #13462) +#13468 := (or #13230 #13465) +#13472 := (iff #13468 #13471) +#13473 := [rewrite]: #13472 +#13469 := (iff #12608 #13468) +#13466 := (iff #12600 #13465) +#13463 := (iff #12591 #13462) +#13460 := (iff #12583 #13459) +#13457 := (iff #12575 #13456) +#13454 := (iff #12567 #13453) +#13451 := (iff #12558 #13450) +#13369 := (iff #12432 #13368) +#13363 := (iff #12425 #13360) +#13357 := (and #13334 #13352) +#13361 := (iff #13357 #13360) +#13362 := [rewrite]: #13361 +#13358 := (iff #12425 #13357) +#13355 := (iff #12420 #13352) +#13340 := (or #13256 #13324) +#13343 := (or #12401 #13340) +#13346 := (or #13331 #13343) +#13349 := (or #13337 #13346) +#13353 := (iff #13349 #13352) +#13354 := [rewrite]: #13353 +#13350 := (iff #12420 #13349) +#13347 := (iff #12411 #13346) +#13344 := (iff #12402 #13343) +#13341 := (iff #12393 #13340) +#13325 := (iff #12386 #13324) +#13322 := (iff #12381 #13321) +#13319 := (iff #12374 #13318) +#13316 := (iff #12369 #13315) +#13313 := (iff #12355 #13310) +#13307 := (and #13304 #12352) +#13311 := (iff #13307 #13310) +#13312 := [rewrite]: #13311 +#13308 := (iff #12355 #13307) +#13305 := (iff #3218 #13304) +#13306 := [rewrite]: #13305 +#13309 := [monotonicity #13306]: #13308 +#13314 := [trans #13309 #13312]: #13313 +#13299 := (iff #12368 #13298) +#13296 := (iff #12349 #13295) +#13293 := (iff #12344 #13290) +#13284 := (or #13267 #13281) +#13287 := (or #5579 #13284) +#13291 := (iff #13287 #13290) +#13292 := [rewrite]: #13291 +#13288 := (iff #12344 #13287) +#13285 := (iff #12338 #13284) +#13282 := (iff #3214 #13281) +#13283 := [rewrite]: #13282 +#13277 := (iff #12337 #13267) +#13269 := (not #13267) +#13272 := (not #13269) +#13275 := (iff #13272 #13267) +#13276 := [rewrite]: #13275 +#13273 := (iff #12337 #13272) +#13270 := (iff #3213 #13269) +#13271 := [rewrite]: #13270 +#13274 := [monotonicity #13271]: #13273 +#13278 := [trans #13274 #13276]: #13277 +#13286 := [monotonicity #13278 #13283]: #13285 +#13289 := [monotonicity #5581 #13286]: #13288 +#13294 := [trans #13289 #13292]: #13293 +#13297 := [quant-intro #13294]: #13296 +#13300 := [monotonicity #13297]: #13299 +#13317 := [monotonicity #13300 #13314]: #13316 +#13320 := [monotonicity #13297 #13317]: #13319 +#13265 := (iff #12380 #13264) +#13262 := (iff #3212 #13259) +#13263 := [rewrite]: #13262 +#13266 := [monotonicity #13263]: #13265 +#13323 := [monotonicity #13266 #13320]: #13322 +#13326 := [monotonicity #13263 #13323]: #13325 +#13257 := (iff #12392 #13256) +#13254 := (iff #12334 #13253) +#13250 := (iff #3210 #13251) +#13252 := [rewrite]: #13250 +#13233 := (iff #3201 #13234) +#13235 := [rewrite]: #13233 +#13255 := [monotonicity #13235 #13252]: #13254 +#13258 := [monotonicity #13255]: #13257 +#13342 := [monotonicity #13258 #13326]: #13341 +#13345 := [monotonicity #13342]: #13344 +#13332 := (iff #12410 #13331) +#13329 := (iff #12331 #13327) +#13330 := [rewrite]: #13329 #13333 := [monotonicity #13330]: #13332 -#13352 := [monotonicity #13333 #13349]: #13351 -#13248 := (iff #12592 #13247) -#13245 := (iff #12585 #13242) -#13239 := (and #12352 #13236) -#13243 := (iff #13239 #13242) -#13244 := [rewrite]: #13243 -#13240 := (iff #12585 #13239) -#13237 := (iff #12580 #13236) -#13234 := (iff #12574 #13231) -#13228 := (and #12358 #13225) -#13232 := (iff #13228 #13231) -#13233 := [rewrite]: #13232 -#13229 := (iff #12574 #13228) -#13226 := (iff #12569 #13225) -#13223 := (iff #12562 #13222) -#13220 := (iff #12557 #13219) -#13217 := (iff #12556 #13216) -#13214 := (iff #12550 #13211) -#13019 := (and #12913 #13017) -#13190 := (and #13019 #12524) -#13193 := (and #12521 #13190) -#13196 := (and #12915 #13193) -#13199 := (and #12915 #13196) -#13202 := (and #12915 #13199) -#13205 := (and #12997 #13202) -#13208 := (and #12915 #13205) -#13212 := (iff #13208 #13211) -#13213 := [rewrite]: #13212 -#13209 := (iff #12550 #13208) -#13206 := (iff #12547 #13205) -#13203 := (iff #12544 #13202) -#13200 := (iff #12541 #13199) -#13197 := (iff #12538 #13196) -#13194 := (iff #12535 #13193) -#13191 := (iff #12530 #13190) -#13020 := (iff #3244 #13019) -#13016 := (iff #3243 #13017) -#13018 := [rewrite]: #13016 -#13021 := [monotonicity #12914 #13018]: #13020 -#13192 := [monotonicity #13021]: #13191 -#13195 := [monotonicity #13192]: #13194 -#13198 := [monotonicity #12917 #13195]: #13197 -#13201 := [monotonicity #12917 #13198]: #13200 -#13204 := [monotonicity #12917 #13201]: #13203 -#13188 := (iff #3286 #12997) -#13189 := [rewrite]: #13188 -#13207 := [monotonicity #13189 #13204]: #13206 -#13210 := [monotonicity #12917 #13207]: #13209 -#13215 := [trans #13210 #13213]: #13214 -#13218 := [monotonicity #13215]: #13217 -#13161 := (iff #12485 #13158) -#13075 := (and #13051 #13054) -#13155 := (and #13075 #13152) -#13159 := (iff #13155 #13158) -#13160 := [rewrite]: #13159 -#13156 := (iff #12485 #13155) -#13153 := (iff #12480 #13152) -#13150 := (iff #12473 #13149) -#13147 := (iff #12468 #13146) -#13144 := (iff #12461 #13143) -#13141 := (iff #12456 #13140) -#13138 := (iff #12449 #13135) -#13132 := (and #13129 #12446) -#13136 := (iff #13132 #13135) -#13137 := [rewrite]: #13136 -#13133 := (iff #12449 #13132) -#13130 := (iff #3270 #13129) -#13131 := [rewrite]: #13130 -#13134 := [monotonicity #13131]: #13133 -#13139 := [trans #13134 #13137]: #13138 -#13124 := (iff #12455 #13123) -#13121 := (iff #12443 #13120) -#13118 := (iff #12440 #13117) -#13115 := (iff #3267 #13114) -#13116 := [rewrite]: #13115 -#13110 := (iff #12439 #13109) -#13107 := (iff #3266 #13104) -#13101 := (and #4362 #13098) -#13105 := (iff #13101 #13104) -#13106 := [rewrite]: #13105 -#13102 := (iff #3266 #13101) -#13099 := (iff #3265 #13098) -#13100 := [rewrite]: #13099 -#13103 := [monotonicity #4364 #13100]: #13102 -#13108 := [trans #13103 #13106]: #13107 -#13111 := [monotonicity #13108]: #13110 -#13119 := [monotonicity #13111 #13116]: #13118 -#13122 := [quant-intro #13119]: #13121 -#13125 := [monotonicity #13122]: #13124 -#13142 := [monotonicity #13125 #13139]: #13141 -#13145 := [monotonicity #13122 #13142]: #13144 -#13094 := (iff #12467 #13093) -#13091 := (iff #3264 #13089) -#13092 := [rewrite]: #13091 -#13095 := [monotonicity #13092]: #13094 -#13148 := [monotonicity #13095 #13145]: #13147 -#13151 := [monotonicity #13092 #13148]: #13150 -#13087 := (iff #12479 #13086) -#13084 := (iff #12436 #13081) -#13066 := (and #13017 #13059) -#13069 := (and #3258 #13066) -#13072 := (and #13061 #13069) -#13078 := (and #13075 #13072) -#13082 := (iff #13078 #13081) -#13083 := [rewrite]: #13082 -#13079 := (iff #12436 #13078) -#13073 := (iff #12433 #13072) -#13070 := (iff #12430 #13069) -#13067 := (iff #12427 #13066) -#13058 := (iff #3259 #13059) -#13060 := [rewrite]: #13058 -#13068 := [monotonicity #13018 #13060]: #13067 -#13071 := [monotonicity #13068]: #13070 -#13064 := (iff #12424 #13061) -#13065 := [rewrite]: #13064 -#13074 := [monotonicity #13065 #13071]: #13073 -#13076 := (iff #12421 #13075) -#13056 := (iff #12418 #13054) -#13057 := [rewrite]: #13056 -#13052 := (iff #12415 #13051) -#13053 := [rewrite]: #13052 -#13077 := [monotonicity #13053 #13057]: #13076 -#13080 := [monotonicity #13077 #13074]: #13079 -#13085 := [trans #13080 #13083]: #13084 -#13088 := [monotonicity #13085]: #13087 -#13154 := [monotonicity #13088 #13151]: #13153 -#13157 := [monotonicity #13077 #13154]: #13156 -#13162 := [trans #13157 #13160]: #13161 -#13221 := [monotonicity #13162 #13218]: #13220 -#13186 := (iff #12516 #13185) -#13183 := (iff #12509 #13180) -#13177 := (and #12352 #13174) -#13181 := (iff #13177 #13180) -#13182 := [rewrite]: #13181 -#13178 := (iff #12509 #13177) -#13175 := (iff #12504 #13174) -#13172 := (iff #12497 #13169) -#13166 := (and #12358 #13163) -#13170 := (iff #13166 #13169) -#13171 := [rewrite]: #13170 -#13167 := (iff #12497 #13166) -#13164 := (iff #12492 #13163) -#13049 := (iff #12491 #13048) -#13046 := (iff #12409 #13043) -#13022 := (and #13019 #12383) -#13025 := (and #12380 #13022) -#13028 := (and #12913 #13025) -#13031 := (and #3237 #13028) -#13034 := (and #3236 #13031) -#13037 := (and #12375 #13034) -#13040 := (and #12358 #13037) -#13044 := (iff #13040 #13043) -#13045 := [rewrite]: #13044 -#13041 := (iff #12409 #13040) -#13038 := (iff #12406 #13037) -#13035 := (iff #12403 #13034) -#13032 := (iff #12400 #13031) -#13029 := (iff #12397 #13028) -#13026 := (iff #12394 #13025) -#13023 := (iff #12389 #13022) -#13024 := [monotonicity #13021]: #13023 -#13027 := [monotonicity #13024]: #13026 -#13030 := [monotonicity #12914 #13027]: #13029 -#13033 := [monotonicity #13030]: #13032 -#13036 := [monotonicity #13033]: #13035 -#13039 := [monotonicity #13036]: #13038 -#13042 := [monotonicity #13039]: #13041 -#13047 := [trans #13042 #13045]: #13046 -#13050 := [monotonicity #13047]: #13049 -#13165 := [monotonicity #13050 #13162]: #13164 -#13168 := [monotonicity #13165]: #13167 -#13173 := [trans #13168 #13171]: #13172 -#13176 := [monotonicity #13173]: #13175 -#13179 := [monotonicity #13176]: #13178 -#13184 := [trans #13179 #13182]: #13183 -#13014 := (iff #12515 #13013) -#13011 := (iff #12372 #13008) -#13002 := (and #12996 #12915) -#13005 := (and #12915 #13002) -#13009 := (iff #13005 #13008) -#13010 := [rewrite]: #13009 -#13006 := (iff #12372 #13005) -#13003 := (iff #12369 #13002) -#13000 := (iff #3231 #12996) -#13001 := [rewrite]: #13000 -#13004 := [monotonicity #13001 #12917]: #13003 -#13007 := [monotonicity #12917 #13004]: #13006 -#13012 := [trans #13007 #13010]: #13011 -#13015 := [monotonicity #13012]: #13014 -#13187 := [monotonicity #13015 #13184]: #13186 -#13224 := [monotonicity #13187 #13221]: #13223 -#12994 := (iff #12568 #12993) -#12991 := (iff #12364 #12988) -#12985 := (and #12915 #12358) -#12989 := (iff #12985 #12988) -#12990 := [rewrite]: #12989 -#12986 := (iff #12364 #12985) -#12987 := [monotonicity #12917]: #12986 -#12992 := [trans #12987 #12990]: #12991 -#12995 := [monotonicity #12992]: #12994 -#13227 := [monotonicity #12995 #13224]: #13226 -#13230 := [monotonicity #13227]: #13229 -#13235 := [trans #13230 #13233]: #13234 -#13238 := [monotonicity #13235]: #13237 +#13348 := [monotonicity #13333 #13345]: #13347 +#13338 := (iff #12419 #13337) +#13335 := (iff #12328 #13334) +#13248 := (iff #12325 #13245) +#13249 := [rewrite]: #13248 +#13242 := (iff #12322 #13243) +#13244 := [rewrite]: #13242 +#13336 := [monotonicity #13244 #13249]: #13335 +#13339 := [monotonicity #13336]: #13338 +#13351 := [monotonicity #13339 #13348]: #13350 +#13356 := [trans #13351 #13354]: #13355 +#13359 := [monotonicity #13336 #13356]: #13358 +#13364 := [trans #13359 #13362]: #13363 +#13240 := (iff #12431 #13239) +#13237 := (iff #3202 #13236) +#13238 := [monotonicity #13226 #13235]: #13237 #13241 := [monotonicity #13238]: #13240 -#13246 := [trans #13241 #13244]: #13245 -#12983 := (iff #12591 #12982) -#12980 := (iff #12343 #12977) -#12971 := (and #12968 #12915) -#12974 := (and #12915 #12971) -#12978 := (iff #12974 #12977) -#12979 := [rewrite]: #12978 -#12975 := (iff #12343 #12974) -#12972 := (iff #12340 #12971) -#12969 := (iff #3217 #12968) -#12970 := [rewrite]: #12969 -#12973 := [monotonicity #12970 #12917]: #12972 -#12976 := [monotonicity #12917 #12973]: #12975 -#12981 := [trans #12976 #12979]: #12980 -#12984 := [monotonicity #12981]: #12983 -#13249 := [monotonicity #12984 #13246]: #13248 -#13355 := [monotonicity #13249 #13352]: #13354 -#12963 := (iff #12626 #12962) -#12960 := (iff #12337 #12957) -#12918 := (and #3201 #12915) -#12921 := (and #3198 #12918) -#12924 := (and #3197 #12921) -#12927 := (and #3196 #12924) -#12930 := (and #3195 #12927) -#12933 := (and #12073 #12930) -#12936 := (and true #12261) -#12939 := (and true #12936) -#12942 := (and #12939 #12933) -#12945 := (and #12939 #12942) -#12948 := (and #12915 #12945) -#12951 := (and #12915 #12948) -#12954 := (and #12915 #12951) -#12958 := (iff #12954 #12957) -#12959 := [rewrite]: #12958 -#12955 := (iff #12337 #12954) -#12952 := (iff #12334 #12951) -#12949 := (iff #12331 #12948) -#12946 := (iff #12328 #12945) -#12943 := (iff #12325 #12942) -#12934 := (iff #12322 #12933) -#12931 := (iff #12319 #12930) -#12928 := (iff #12316 #12927) -#12925 := (iff #12313 #12924) -#12922 := (iff #12310 #12921) -#12919 := (iff #12307 #12918) -#12920 := [monotonicity #12917]: #12919 -#12923 := [monotonicity #12920]: #12922 -#12926 := [monotonicity #12923]: #12925 -#12929 := [monotonicity #12926]: #12928 -#12932 := [monotonicity #12929]: #12931 -#12935 := [monotonicity #12932]: #12934 -#12940 := (iff #12267 #12939) -#12937 := (iff #12264 #12936) -#12905 := (iff #3186 true) -#12900 := (forall (vars (?x783 T5)) (:pat #3184) true) -#12903 := (iff #12900 true) -#12904 := [elim-unused]: #12903 -#12901 := (iff #3186 #12900) -#12898 := (iff #3185 true) -#12899 := [rewrite]: #12898 -#12902 := [quant-intro #12899]: #12901 -#12906 := [trans #12902 #12904]: #12905 -#12938 := [monotonicity #12906]: #12937 -#12907 := (iff #3182 true) -#12908 := [rewrite]: #12907 -#12941 := [monotonicity #12908 #12938]: #12940 -#12944 := [monotonicity #12941 #12935]: #12943 -#12947 := [monotonicity #12941 #12944]: #12946 -#12950 := [monotonicity #12917 #12947]: #12949 -#12953 := [monotonicity #12917 #12950]: #12952 -#12956 := [monotonicity #12917 #12953]: #12955 -#12961 := [trans #12956 #12959]: #12960 -#12964 := [monotonicity #12961]: #12963 -#13458 := [monotonicity #12964 #13355]: #13457 -#13454 := (iff #12642 #13453) -#13451 := (iff #12062 #13448) -#13409 := (and #13359 #12030) -#13412 := (and #12915 #13409) -#13415 := (and #13386 #13412) -#13418 := (and #13389 #13415) -#13421 := (and #12915 #13418) -#13424 := (and #13392 #13395) -#13427 := (and #13424 #13421) -#13430 := (and #12910 #13398) -#13433 := (and #13430 #13427) -#13436 := (and #13402 #13405) -#13439 := (and #13436 #13433) -#13445 := (and #13442 #13439) -#13449 := (iff #13445 #13448) -#13450 := [rewrite]: #13449 -#13446 := (iff #12062 #13445) -#13440 := (iff #12059 #13439) -#13434 := (iff #12056 #13433) -#13428 := (iff #12053 #13427) -#13422 := (iff #12050 #13421) -#13419 := (iff #12047 #13418) -#13416 := (iff #12044 #13415) -#13413 := (iff #12039 #13412) -#13410 := (iff #12033 #13409) -#13360 := (iff #3099 #13359) -#13361 := [rewrite]: #13360 -#13411 := [monotonicity #13361]: #13410 -#13414 := [monotonicity #12917 #13411]: #13413 -#13387 := (iff #12027 #13386) -#13384 := (iff #12024 #13383) -#13381 := (iff #3096 #13380) -#13382 := [rewrite]: #13381 -#13376 := (iff #12023 #13375) -#13373 := (iff #3095 #13370) -#13367 := (and #4362 #13364) -#13371 := (iff #13367 #13370) -#13372 := [rewrite]: #13371 -#13368 := (iff #3095 #13367) -#13365 := (iff #3094 #13364) -#13366 := [rewrite]: #13365 -#13369 := [monotonicity #4364 #13366]: #13368 -#13374 := [trans #13369 #13372]: #13373 -#13377 := [monotonicity #13374]: #13376 -#13385 := [monotonicity #13377 #13382]: #13384 -#13388 := [quant-intro #13385]: #13387 -#13417 := [monotonicity #13388 #13414]: #13416 -#13390 := (iff #3093 #13389) -#13391 := [rewrite]: #13390 -#13420 := [monotonicity #13391 #13417]: #13419 -#13423 := [monotonicity #12917 #13420]: #13422 -#13425 := (iff #3090 #13424) -#13396 := (iff #3089 #13395) -#13397 := [rewrite]: #13396 -#13393 := (iff #3088 #13392) +#13370 := [monotonicity #13241 #13364]: #13369 +#13452 := [monotonicity #13370]: #13451 +#13455 := [monotonicity #13452]: #13454 +#13458 := [monotonicity #13232 #13455]: #13457 +#13461 := [monotonicity #13232 #13458]: #13460 +#13464 := [monotonicity #13232 #13461]: #13463 +#13448 := (iff #12599 #13416) +#13446 := (iff #3248 #13417) +#13447 := [rewrite]: #13446 +#13449 := [monotonicity #13447]: #13448 +#13467 := [monotonicity #13449 #13464]: #13466 +#13470 := [monotonicity #13232 #13467]: #13469 +#13475 := [trans #13470 #13473]: #13474 +#13444 := (iff #12543 #13441) +#13429 := (or #13230 #13411) +#13432 := (or #13230 #13429) +#13435 := (or #13417 #13432) +#13438 := (or #13230 #13435) +#13442 := (iff #13438 #13441) +#13443 := [rewrite]: #13442 +#13439 := (iff #12543 #13438) +#13436 := (iff #12535 #13435) +#13433 := (iff #12526 #13432) +#13430 := (iff #12518 #13429) +#13414 := (iff #12512 #13411) +#13408 := (and #12299 #13405) +#13412 := (iff #13408 #13411) +#13413 := [rewrite]: #13412 +#13409 := (iff #12512 #13408) +#13406 := (iff #12507 #13405) +#13403 := (iff #12500 #13400) +#13397 := (and #12305 #13392) +#13401 := (iff #13397 #13400) +#13402 := [rewrite]: #13401 +#13398 := (iff #12500 #13397) +#13395 := (iff #12495 #13392) +#13371 := (or #12440 #13368) +#13374 := (or #12449 #13371) +#13377 := (or #13365 #13374) +#13380 := (or #12467 #13377) +#13383 := (or #12476 #13380) +#13386 := (or #12485 #13383) +#13389 := (or #12494 #13386) +#13393 := (iff #13389 #13392) #13394 := [rewrite]: #13393 -#13426 := [monotonicity #13394 #13397]: #13425 -#13429 := [monotonicity #13426 #13423]: #13428 -#13431 := (iff #3086 #13430) -#13400 := (iff #3085 #13398) -#13401 := [rewrite]: #13400 -#13432 := [monotonicity #12911 #13401]: #13431 -#13435 := [monotonicity #13432 #13429]: #13434 -#13437 := (iff #3082 #13436) -#13407 := (iff #3081 #13405) -#13408 := [rewrite]: #13407 -#13403 := (iff #3080 #13402) -#13404 := [rewrite]: #13403 -#13438 := [monotonicity #13404 #13408]: #13437 -#13441 := [monotonicity #13438 #13435]: #13440 -#13443 := (iff #12017 #13442) -#12742 := (iff #2975 #12741) -#12743 := [rewrite]: #12742 -#13444 := [monotonicity #12743]: #13443 -#13447 := [monotonicity #13444 #13441]: #13446 -#13452 := [trans #13447 #13450]: #13451 -#13455 := [monotonicity #13452]: #13454 -#13461 := [monotonicity #13455 #13458]: #13460 -#13466 := [trans #13461 #13464]: #13465 -#13469 := [monotonicity #13444 #13466]: #13468 -#13474 := [trans #13469 #13472]: #13473 -#12896 := (iff #12654 #12895) -#12893 := (iff #12012 #12892) -#12890 := (iff #12009 #12889) -#12884 := (iff #3074 #12885) -#12888 := [rewrite]: #12884 -#12882 := (iff #12008 #12881) -#12879 := (iff #3071 #12876) -#12873 := (and #4362 #12870) -#12877 := (iff #12873 #12876) -#12878 := [rewrite]: #12877 -#12874 := (iff #3071 #12873) -#12871 := (iff #3070 #12870) -#12872 := [rewrite]: #12871 -#12875 := [monotonicity #4364 #12872]: #12874 -#12880 := [trans #12875 #12878]: #12879 -#12883 := [monotonicity #12880]: #12882 -#12891 := [monotonicity #12883 #12888]: #12890 -#12894 := [quant-intro #12891]: #12893 -#12897 := [monotonicity #12894]: #12896 -#13477 := [monotonicity #12897 #13474]: #13476 -#13480 := [monotonicity #12894 #13477]: #13479 -#12867 := (iff #12666 #12866) -#12864 := (iff #3069 #12863) -#12865 := [rewrite]: #12864 -#12868 := [monotonicity #12865]: #12867 -#13483 := [monotonicity #12868 #13480]: #13482 -#13486 := [monotonicity #12865 #13483]: #13485 -#12861 := (iff #12678 #12860) -#12858 := (iff #12005 #12855) -#12293 := (and true true) -#12837 := (and true #12293) -#12840 := (and #3058 #12837) -#12843 := (and #3057 #12840) -#12846 := (and #3056 #12843) -#12849 := (and #3055 #12846) -#12852 := (and #11982 #12849) -#12856 := (iff #12852 #12855) -#12857 := [rewrite]: #12856 -#12853 := (iff #12005 #12852) -#12850 := (iff #12002 #12849) -#12847 := (iff #11999 #12846) -#12844 := (iff #11996 #12843) -#12841 := (iff #11993 #12840) -#12838 := (iff #11990 #12837) -#12835 := (iff #11987 #12293) -#12833 := (iff #3060 true) -#12834 := [rewrite]: #12833 -#12831 := (iff #3059 true) -#12832 := [rewrite]: #12831 -#12836 := [monotonicity #12832 #12834]: #12835 -#12839 := [monotonicity #12832 #12836]: #12838 -#12842 := [monotonicity #12839]: #12841 -#12845 := [monotonicity #12842]: #12844 -#12848 := [monotonicity #12845]: #12847 -#12851 := [monotonicity #12848]: #12850 -#12854 := [monotonicity #12851]: #12853 -#12859 := [trans #12854 #12857]: #12858 -#12862 := [monotonicity #12859]: #12861 -#13489 := [monotonicity #12862 #13486]: #13488 +#13390 := (iff #12495 #13389) +#13387 := (iff #12486 #13386) +#13384 := (iff #12477 #13383) +#13381 := (iff #12468 #13380) +#13378 := (iff #12459 #13377) +#13375 := (iff #12450 #13374) +#13372 := (iff #12441 #13371) +#13373 := [monotonicity #13370]: #13372 +#13376 := [monotonicity #13373]: #13375 +#13366 := (iff #12458 #13365) +#13367 := [monotonicity #13226]: #13366 +#13379 := [monotonicity #13367 #13376]: #13378 +#13382 := [monotonicity #13379]: #13381 +#13385 := [monotonicity #13382]: #13384 +#13388 := [monotonicity #13385]: #13387 +#13391 := [monotonicity #13388]: #13390 +#13396 := [trans #13391 #13394]: #13395 +#13399 := [monotonicity #13396]: #13398 +#13404 := [trans #13399 #13402]: #13403 +#13407 := [monotonicity #13404]: #13406 +#13410 := [monotonicity #13407]: #13409 +#13415 := [trans #13410 #13413]: #13414 +#13431 := [monotonicity #13232 #13415]: #13430 +#13434 := [monotonicity #13232 #13431]: #13433 +#13427 := (iff #12534 #13417) +#13422 := (not #13416) +#13425 := (iff #13422 #13417) +#13426 := [rewrite]: #13425 +#13423 := (iff #12534 #13422) +#13420 := (iff #3191 #13416) +#13421 := [rewrite]: #13420 +#13424 := [monotonicity #13421]: #13423 +#13428 := [trans #13424 #13426]: #13427 +#13437 := [monotonicity #13428 #13434]: #13436 +#13440 := [monotonicity #13232 #13437]: #13439 +#13445 := [trans #13440 #13443]: #13444 +#13478 := [monotonicity #13445 #13475]: #13477 +#13481 := [monotonicity #13232 #13478]: #13480 +#13484 := [monotonicity #13481]: #13483 +#13489 := [trans #13484 #13487]: #13488 #13492 := [monotonicity #13489]: #13491 #13497 := [trans #13492 #13495]: #13496 #13500 := [monotonicity #13497]: #13499 #13503 := [monotonicity #13500]: #13502 #13508 := [trans #13503 #13506]: #13507 -#13511 := [monotonicity #13508]: #13510 -#13514 := [monotonicity #13511]: #13513 -#12829 := (iff #12714 #12828) -#12826 := (iff #11964 #12823) -#12772 := (and #12724 #12726) -#12775 := (and #12772 #11920) -#12778 := (and #3020 #12775) -#12781 := (and #3017 #12778) -#12784 := (and #3016 #12781) -#12787 := (and #12737 #12784) -#12790 := (and #11906 #12787) -#12793 := (and #11897 #12790) -#12796 := (and #11894 #12793) -#12799 := (and #12741 #12796) -#12802 := (and #12745 #12799) -#12805 := (and #12749 #12751) -#12808 := (and #12805 #12802) -#12811 := (and #12757 #12759) -#12814 := (and #12811 #12808) -#12817 := (and #12765 #12767) -#12820 := (and #12817 #12814) -#12824 := (iff #12820 #12823) -#12825 := [rewrite]: #12824 -#12821 := (iff #11964 #12820) -#12815 := (iff #11961 #12814) -#12809 := (iff #11958 #12808) -#12803 := (iff #11955 #12802) -#12800 := (iff #11952 #12799) -#12797 := (iff #11949 #12796) -#12794 := (iff #11946 #12793) -#12791 := (iff #11943 #12790) -#12788 := (iff #11940 #12787) -#12785 := (iff #11937 #12784) -#12782 := (iff #11934 #12781) -#12779 := (iff #11931 #12778) -#12776 := (iff #11926 #12775) -#12773 := (iff #3028 #12772) -#12729 := (iff #3027 #12726) -#12730 := [rewrite]: #12729 -#12723 := (iff #3026 #12724) -#12725 := [rewrite]: #12723 -#12774 := [monotonicity #12725 #12730]: #12773 -#12777 := [monotonicity #12774]: #12776 -#12780 := [monotonicity #12777]: #12779 -#12783 := [monotonicity #12780]: #12782 -#12786 := [monotonicity #12783]: #12785 -#12738 := (iff #3012 #12737) -#12735 := (iff #3011 #12731) -#12736 := [rewrite]: #12735 -#12739 := [quant-intro #12736]: #12738 -#12789 := [monotonicity #12739 #12786]: #12788 -#12792 := [monotonicity #12789]: #12791 -#12795 := [monotonicity #12792]: #12794 -#12798 := [monotonicity #12795]: #12797 -#12801 := [monotonicity #12743 #12798]: #12800 -#12746 := (iff #2974 #12745) -#12747 := [rewrite]: #12746 -#12804 := [monotonicity #12747 #12801]: #12803 -#12806 := (iff #2972 #12805) -#12754 := (iff #2971 #12751) -#12755 := [rewrite]: #12754 -#12748 := (iff #2970 #12749) -#12750 := [rewrite]: #12748 -#12807 := [monotonicity #12750 #12755]: #12806 -#12810 := [monotonicity #12807 #12804]: #12809 -#12812 := (iff #2968 #12811) -#12762 := (iff #2967 #12759) +#13523 := [monotonicity #13232 #13508]: #13522 +#13526 := [monotonicity #13232 #13523]: #13525 +#13519 := (iff #12665 #13510) +#13514 := (not #13511) +#13517 := (iff #13514 #13510) +#13518 := [rewrite]: #13517 +#13515 := (iff #12665 #13514) +#13512 := (iff #3180 #13511) +#13513 := [rewrite]: #13512 +#13516 := [monotonicity #13513]: #13515 +#13520 := [trans #13516 #13518]: #13519 +#13529 := [monotonicity #13520 #13526]: #13528 +#13532 := [monotonicity #13232 #13529]: #13531 +#13537 := [trans #13532 #13535]: #13536 +#13661 := [monotonicity #13537 #13658]: #13660 +#13791 := [monotonicity #13232 #13661]: #13790 +#13794 := [monotonicity #13791]: #13793 +#13797 := [monotonicity #13794]: #13796 +#13800 := [monotonicity #13797]: #13799 +#13803 := [monotonicity #13800]: #13802 +#13806 := [monotonicity #13803]: #13805 +#13809 := [monotonicity #13806]: #13808 +#13684 := (iff #12786 #13683) +#13681 := (iff #12260 #12254) +#13673 := (and true #12254) +#13676 := (and true #13673) +#13679 := (iff #13676 #12254) +#13680 := [rewrite]: #13679 +#13677 := (iff #12260 #13676) +#13674 := (iff #12257 #13673) +#13669 := (iff #3161 true) +#13664 := (forall (vars (?x783 T5)) (:pat #3159) true) +#13667 := (iff #13664 true) +#13668 := [elim-unused]: #13667 +#13665 := (iff #3161 #13664) +#13662 := (iff #3160 true) +#13663 := [rewrite]: #13662 +#13666 := [quant-intro #13663]: #13665 +#13670 := [trans #13666 #13668]: #13669 +#13675 := [monotonicity #13670]: #13674 +#13671 := (iff #3157 true) +#13672 := [rewrite]: #13671 +#13678 := [monotonicity #13672 #13675]: #13677 +#13682 := [trans #13678 #13680]: #13681 +#13685 := [monotonicity #13682]: #13684 +#13812 := [monotonicity #13685 #13809]: #13811 +#13815 := [monotonicity #13685 #13812]: #13814 +#13818 := [monotonicity #13232 #13815]: #13817 +#13821 := [monotonicity #13232 #13818]: #13820 +#13824 := [monotonicity #13232 #13821]: #13823 +#13827 := [monotonicity #13232 #13824]: #13826 +#13701 := (iff #12842 #13700) +#13698 := (iff #11992 #13695) +#13692 := (and #13689 #11989) +#13696 := (iff #13692 #13695) +#13697 := [rewrite]: #13696 +#13693 := (iff #11992 #13692) +#13690 := (iff #3081 #13689) +#13691 := [rewrite]: #13690 +#13694 := [monotonicity #13691]: #13693 +#13699 := [trans #13694 #13697]: #13698 +#13702 := [monotonicity #13699]: #13701 +#13830 := [monotonicity #13702 #13827]: #13829 +#13735 := (iff #12851 #13734) +#13732 := (iff #11986 #13731) +#13729 := (iff #11981 #13726) +#13720 := (or #13703 #13717) +#13723 := (or #5579 #13720) +#13727 := (iff #13723 #13726) +#13728 := [rewrite]: #13727 +#13724 := (iff #11981 #13723) +#13721 := (iff #11975 #13720) +#13718 := (iff #3077 #13717) +#13719 := [rewrite]: #13718 +#13713 := (iff #11974 #13703) +#13705 := (not #13703) +#13708 := (not #13705) +#13711 := (iff #13708 #13703) +#13712 := [rewrite]: #13711 +#13709 := (iff #11974 #13708) +#13706 := (iff #3076 #13705) +#13707 := [rewrite]: #13706 +#13710 := [monotonicity #13707]: #13709 +#13714 := [trans #13710 #13712]: #13713 +#13722 := [monotonicity #13714 #13719]: #13721 +#13725 := [monotonicity #5581 #13722]: #13724 +#13730 := [trans #13725 #13728]: #13729 +#13733 := [quant-intro #13730]: #13732 +#13736 := [monotonicity #13733]: #13735 +#13833 := [monotonicity #13736 #13830]: #13832 +#13741 := (iff #12860 #13740) +#13738 := (iff #3075 #13737) +#13739 := [rewrite]: #13738 +#13742 := [monotonicity #13739]: #13741 +#13836 := [monotonicity #13742 #13833]: #13835 +#13839 := [monotonicity #13232 #13836]: #13838 +#13753 := (iff #12877 #13752) +#13750 := (iff #3072 #13749) +#13747 := (iff #3071 #13746) +#13748 := [rewrite]: #13747 +#13744 := (iff #3070 #13743) +#13745 := [rewrite]: #13744 +#13751 := [monotonicity #13745 #13748]: #13750 +#13754 := [monotonicity #13751]: #13753 +#13842 := [monotonicity #13754 #13839]: #13841 +#13763 := (iff #12886 #13762) +#13760 := (iff #3068 #13759) +#13757 := (iff #3067 #13755) +#13758 := [rewrite]: #13757 +#13761 := [monotonicity #13223 #13758]: #13760 +#13764 := [monotonicity #13761]: #13763 +#13845 := [monotonicity #13764 #13842]: #13844 +#13776 := (iff #12895 #13775) +#13773 := (iff #3064 #13772) +#13770 := (iff #3063 #13768) +#13771 := [rewrite]: #13770 +#13766 := (iff #3062 #13765) +#13767 := [rewrite]: #13766 +#13774 := [monotonicity #13767 #13771]: #13773 +#13777 := [monotonicity #13774]: #13776 +#13848 := [monotonicity #13777 #13845]: #13847 +#13787 := (iff #12904 #13786) +#13784 := (iff #11968 #13781) +#13782 := (iff #13778 #13781) +#13783 := [rewrite]: #13782 +#13779 := (iff #11968 #13778) +#13219 := (iff #2975 #13218) +#13220 := [rewrite]: #13219 +#13780 := [monotonicity #13220]: #13779 +#13785 := [trans #13780 #13783]: #13784 +#13788 := [monotonicity #13785]: #13787 +#13851 := [monotonicity #13788 #13848]: #13850 +#13856 := [trans #13851 #13854]: #13855 +#13859 := [monotonicity #13780 #13856]: #13858 +#13864 := [trans #13859 #13862]: #13863 +#13215 := (iff #12916 #13214) +#13212 := (iff #11963 #13211) +#13209 := (iff #11958 #13206) +#13200 := (or #13184 #13196) +#13203 := (or #5579 #13200) +#13207 := (iff #13203 #13206) +#13208 := [rewrite]: #13207 +#13204 := (iff #11958 #13203) +#13201 := (iff #11952 #13200) +#13195 := (iff #3055 #13196) +#13199 := [rewrite]: #13195 +#13193 := (iff #11951 #13184) +#13185 := (not #13184) +#13188 := (not #13185) +#13191 := (iff #13188 #13184) +#13192 := [rewrite]: #13191 +#13189 := (iff #11951 #13188) +#13186 := (iff #3052 #13185) +#13187 := [rewrite]: #13186 +#13190 := [monotonicity #13187]: #13189 +#13194 := [trans #13190 #13192]: #13193 +#13202 := [monotonicity #13194 #13199]: #13201 +#13205 := [monotonicity #5581 #13202]: #13204 +#13210 := [trans #13205 #13208]: #13209 +#13213 := [quant-intro #13210]: #13212 +#13216 := [monotonicity #13213]: #13215 +#13867 := [monotonicity #13216 #13864]: #13866 +#13870 := [monotonicity #13213 #13867]: #13869 +#13182 := (iff #12928 #13181) +#13179 := (iff #3051 #13178) +#13180 := [rewrite]: #13179 +#13183 := [monotonicity #13180]: #13182 +#13873 := [monotonicity #13183 #13870]: #13872 +#13876 := [monotonicity #13180 #13873]: #13875 +#13176 := (iff #12940 false) +#11995 := (iff #3086 false) +#11996 := [rewrite]: #11995 +#13174 := (iff #12940 #3086) +#13172 := (iff #11948 true) +#12286 := (and true true) +#13167 := (and true #12286) +#13170 := (iff #13167 true) +#13171 := [rewrite]: #13170 +#13168 := (iff #11948 #13167) +#13165 := (iff #11945 #12286) +#13163 := (iff #3047 true) +#13164 := [rewrite]: #13163 +#13161 := (iff #3046 true) +#13162 := [rewrite]: #13161 +#13166 := [monotonicity #13162 #13164]: #13165 +#13169 := [monotonicity #13162 #13166]: #13168 +#13173 := [trans #13169 #13171]: #13172 +#13175 := [monotonicity #13173]: #13174 +#13177 := [trans #13175 #11996]: #13176 +#13879 := [monotonicity #13177 #13876]: #13878 +#13882 := [monotonicity #13879]: #13881 +#13885 := [monotonicity #13882]: #13884 +#13888 := [monotonicity #13885]: #13887 +#13891 := [monotonicity #13888]: #13890 +#13894 := [monotonicity #13891]: #13893 +#13899 := [trans #13894 #13897]: #13898 +#13902 := [monotonicity #13899]: #13901 +#13907 := [trans #13902 #13905]: #13906 +#13910 := [monotonicity #13907]: #13909 +#13913 := [monotonicity #13910]: #13912 +#13918 := [trans #13913 #13916]: #13917 +#13921 := [monotonicity #13918]: #13920 +#13924 := [monotonicity #13921]: #13923 +#13159 := (iff #13021 #13158) +#13156 := (iff #3028 #13155) +#13153 := (iff #3027 #13150) +#13154 := [rewrite]: #13153 +#13147 := (iff #3026 #13148) +#13149 := [rewrite]: #13147 +#13157 := [monotonicity #13149 #13154]: #13156 +#13160 := [monotonicity #13157]: #13159 +#14005 := [monotonicity #13160 #13924]: #14004 +#14008 := [monotonicity #14005]: #14007 +#14011 := [monotonicity #14008]: #14010 +#14014 := [monotonicity #14011]: #14013 +#14017 := [monotonicity #14014]: #14016 +#13935 := (iff #13066 #13934) +#13932 := (iff #3012 #13931) +#13929 := (iff #3011 #13925) +#13930 := [rewrite]: #13929 +#13933 := [quant-intro #13930]: #13932 +#13936 := [monotonicity #13933]: #13935 +#14020 := [monotonicity #13936 #14017]: #14019 +#14023 := [monotonicity #14020]: #14022 +#14026 := [monotonicity #14023]: #14025 +#13941 := (iff #13093 #13940) +#13938 := (iff #11896 #13937) +#13939 := [rewrite]: #13938 +#13942 := [monotonicity #13939]: #13941 +#14029 := [monotonicity #13942 #14026]: #14028 +#13948 := (iff #13102 #13217) +#13943 := (not #13218) +#13946 := (iff #13943 #13217) +#13947 := [rewrite]: #13946 +#13944 := (iff #13102 #13943) +#13945 := [monotonicity #13220]: #13944 +#13949 := [trans #13945 #13947]: #13948 +#14032 := [monotonicity #13949 #14029]: #14031 +#13959 := (iff #13111 #13950) +#13951 := (not #13950) +#13954 := (not #13951) +#13957 := (iff #13954 #13950) +#13958 := [rewrite]: #13957 +#13955 := (iff #13111 #13954) +#13952 := (iff #2974 #13951) +#13953 := [rewrite]: #13952 +#13956 := [monotonicity #13953]: #13955 +#13960 := [trans #13956 #13958]: #13959 +#14035 := [monotonicity #13960 #14032]: #14034 +#13973 := (iff #13120 #13972) +#13970 := (iff #2972 #13969) +#13967 := (iff #2971 #13964) +#13968 := [rewrite]: #13967 +#13961 := (iff #2970 #13962) +#13963 := [rewrite]: #13961 +#13971 := [monotonicity #13963 #13968]: #13970 +#13974 := [monotonicity #13971]: #13973 +#14038 := [monotonicity #13974 #14035]: #14037 +#13987 := (iff #13129 #13986) +#13984 := (iff #2968 #13983) +#13981 := (iff #2967 #13978) +#13982 := [rewrite]: #13981 +#13975 := (iff #2966 #13976) +#13977 := [rewrite]: #13975 +#13985 := [monotonicity #13977 #13982]: #13984 +#13988 := [monotonicity #13985]: #13987 +#14041 := [monotonicity #13988 #14038]: #14040 +#14001 := (iff #13138 #14000) +#13998 := (iff #2964 #13997) +#13995 := (iff #2963 #13992) +#13996 := [rewrite]: #13995 +#13989 := (iff #2962 #13990) +#13991 := [rewrite]: #13989 +#13999 := [monotonicity #13991 #13996]: #13998 +#14002 := [monotonicity #13999]: #14001 +#14044 := [monotonicity #14002 #14041]: #14043 +#14049 := [trans #14044 #14047]: #14048 +#14052 := [monotonicity #14049]: #14051 +#13145 := (iff #3327 #13144) +#13142 := (iff #3326 #13139) +#13135 := (implies #2964 #13130) +#13140 := (iff #13135 #13139) +#13141 := [rewrite]: #13140 +#13136 := (iff #3326 #13135) +#13133 := (iff #3325 #13130) +#13126 := (implies #2968 #13121) +#13131 := (iff #13126 #13130) +#13132 := [rewrite]: #13131 +#13127 := (iff #3325 #13126) +#13124 := (iff #3324 #13121) +#13117 := (implies #2972 #13112) +#13122 := (iff #13117 #13121) +#13123 := [rewrite]: #13122 +#13118 := (iff #3324 #13117) +#13115 := (iff #3323 #13112) +#13108 := (implies #2974 #13103) +#13113 := (iff #13108 #13112) +#13114 := [rewrite]: #13113 +#13109 := (iff #3323 #13108) +#13106 := (iff #3322 #13103) +#13099 := (implies #2975 #13094) +#13104 := (iff #13099 #13103) +#13105 := [rewrite]: #13104 +#13100 := (iff #3322 #13099) +#13097 := (iff #3321 #13094) +#13090 := (implies #11896 #13085) +#13095 := (iff #13090 #13094) +#13096 := [rewrite]: #13095 +#13091 := (iff #3321 #13090) +#13088 := (iff #3320 #13085) +#13081 := (implies #11899 #13076) +#13086 := (iff #13081 #13085) +#13087 := [rewrite]: #13086 +#13082 := (iff #3320 #13081) +#13079 := (iff #3319 #13076) +#13072 := (implies #11908 #13067) +#13077 := (iff #13072 #13076) +#13078 := [rewrite]: #13077 +#13073 := (iff #3319 #13072) +#13070 := (iff #3318 #13067) +#13063 := (implies #3012 #13058) +#13068 := (iff #13063 #13067) +#13069 := [rewrite]: #13068 +#13064 := (iff #3318 #13063) +#13061 := (iff #3317 #13058) +#13054 := (implies #3016 #13049) +#13059 := (iff #13054 #13058) +#13060 := [rewrite]: #13059 +#13055 := (iff #3317 #13054) +#13052 := (iff #3316 #13049) +#13045 := (implies #3017 #13040) +#13050 := (iff #13045 #13049) +#13051 := [rewrite]: #13050 +#13046 := (iff #3316 #13045) +#13043 := (iff #3315 #13040) +#13036 := (implies #3020 #13031) +#13041 := (iff #13036 #13040) +#13042 := [rewrite]: #13041 +#13037 := (iff #3315 #13036) +#13034 := (iff #3314 #13031) +#13027 := (implies #11922 #13022) +#13032 := (iff #13027 #13031) +#13033 := [rewrite]: #13032 +#13028 := (iff #3314 #13027) +#13025 := (iff #3313 #13022) +#13018 := (implies #3028 #13015) +#13023 := (iff #13018 #13022) +#13024 := [rewrite]: #13023 +#13019 := (iff #3313 #13018) +#13016 := (iff #3312 #13015) +#13013 := (iff #3311 #13010) +#13006 := (implies #11925 #13003) +#13011 := (iff #13006 #13010) +#13012 := [rewrite]: #13011 +#13007 := (iff #3311 #13006) +#13004 := (iff #3310 #13003) +#13001 := (iff #3309 #12998) +#12994 := (implies #11934 #12991) +#12999 := (iff #12994 #12998) +#13000 := [rewrite]: #12999 +#12995 := (iff #3309 #12994) +#12992 := (iff #3308 #12991) +#12989 := (iff #3307 #12986) +#12982 := (implies #11940 #12977) +#12987 := (iff #12982 #12986) +#12988 := [rewrite]: #12987 +#12983 := (iff #3307 #12982) +#12980 := (iff #3306 #12977) +#12973 := (implies #3042 #12968) +#12978 := (iff #12973 #12977) +#12979 := [rewrite]: #12978 +#12974 := (iff #3306 #12973) +#12971 := (iff #3305 #12968) +#12964 := (implies #3043 #12959) +#12969 := (iff #12964 #12968) +#12970 := [rewrite]: #12969 +#12965 := (iff #3305 #12964) +#12962 := (iff #3304 #12959) +#12955 := (implies #3044 #12950) +#12960 := (iff #12955 #12959) +#12961 := [rewrite]: #12960 +#12956 := (iff #3304 #12955) +#12953 := (iff #3303 #12950) +#12946 := (implies #3045 #12941) +#12951 := (iff #12946 #12950) +#12952 := [rewrite]: #12951 +#12947 := (iff #3303 #12946) +#12944 := (iff #3302 #12941) +#12937 := (implies #11948 #12934) +#12942 := (iff #12937 #12941) +#12943 := [rewrite]: #12942 +#12938 := (iff #3302 #12937) +#12935 := (iff #3301 #12934) +#12932 := (iff #3300 #12929) +#12925 := (implies #3051 #12922) +#12930 := (iff #12925 #12929) +#12931 := [rewrite]: #12930 +#12926 := (iff #3300 #12925) +#12923 := (iff #3299 #12922) +#12920 := (iff #3298 #12917) +#12913 := (implies #11963 #12910) +#12918 := (iff #12913 #12917) +#12919 := [rewrite]: #12918 +#12914 := (iff #3298 #12913) +#12911 := (iff #3297 #12910) +#12908 := (iff #3296 #12905) +#12901 := (implies #11968 #12896) +#12906 := (iff #12901 #12905) +#12907 := [rewrite]: #12906 +#12902 := (iff #3296 #12901) +#12899 := (iff #3295 #12896) +#12892 := (implies #3064 #12887) +#12897 := (iff #12892 #12896) +#12898 := [rewrite]: #12897 +#12893 := (iff #3295 #12892) +#12890 := (iff #3294 #12887) +#12883 := (implies #3068 #12878) +#12888 := (iff #12883 #12887) +#12889 := [rewrite]: #12888 +#12884 := (iff #3294 #12883) +#12881 := (iff #3293 #12878) +#12874 := (implies #3072 #12869) +#12879 := (iff #12874 #12878) +#12880 := [rewrite]: #12879 +#12875 := (iff #3293 #12874) +#12872 := (iff #3292 #12869) +#12866 := (implies #11971 #12861) +#12870 := (iff #12866 #12869) +#12871 := [rewrite]: #12870 +#12867 := (iff #3292 #12866) +#12864 := (iff #3291 #12861) +#12857 := (implies #3075 #12852) +#12862 := (iff #12857 #12861) +#12863 := [rewrite]: #12862 +#12858 := (iff #3291 #12857) +#12855 := (iff #3290 #12852) +#12848 := (implies #11986 #12843) +#12853 := (iff #12848 #12852) +#12854 := [rewrite]: #12853 +#12849 := (iff #3290 #12848) +#12846 := (iff #3289 #12843) +#12839 := (implies #11992 #12834) +#12844 := (iff #12839 #12843) +#12845 := [rewrite]: #12844 +#12840 := (iff #3289 #12839) +#12837 := (iff #3288 #12834) +#12831 := (implies #11971 #12819) +#12835 := (iff #12831 #12834) +#12836 := [rewrite]: #12835 +#12832 := (iff #3288 #12831) +#12829 := (iff #3287 #12819) +#12824 := (and true #12819) +#12827 := (iff #12824 #12819) +#12828 := [rewrite]: #12827 +#12825 := (iff #3287 #12824) +#12822 := (iff #3286 #12819) +#12816 := (implies #11971 #12811) +#12820 := (iff #12816 #12819) +#12821 := [rewrite]: #12820 +#12817 := (iff #3286 #12816) +#12814 := (iff #3285 #12811) +#12808 := (implies #11971 #12803) +#12812 := (iff #12808 #12811) +#12813 := [rewrite]: #12812 +#12809 := (iff #3285 #12808) +#12806 := (iff #3284 #12803) +#12800 := (implies #11971 #12795) +#12804 := (iff #12800 #12803) +#12805 := [rewrite]: #12804 +#12801 := (iff #3284 #12800) +#12798 := (iff #3283 #12795) +#12792 := (implies #12260 #12787) +#12796 := (iff #12792 #12795) +#12797 := [rewrite]: #12796 +#12793 := (iff #3283 #12792) +#12790 := (iff #3282 #12787) +#12783 := (implies #12260 #12778) +#12788 := (iff #12783 #12787) +#12789 := [rewrite]: #12788 +#12784 := (iff #3282 #12783) +#12781 := (iff #3281 #12778) +#12775 := (implies #12003 #12770) +#12779 := (iff #12775 #12778) +#12780 := [rewrite]: #12779 +#12776 := (iff #3281 #12775) +#12773 := (iff #3280 #12770) +#12766 := (implies #3170 #12761) +#12771 := (iff #12766 #12770) +#12772 := [rewrite]: #12771 +#12767 := (iff #3280 #12766) +#12764 := (iff #3279 #12761) +#12757 := (implies #3171 #12752) +#12762 := (iff #12757 #12761) #12763 := [rewrite]: #12762 -#12756 := (iff #2966 #12757) -#12758 := [rewrite]: #12756 -#12813 := [monotonicity #12758 #12763]: #12812 -#12816 := [monotonicity #12813 #12810]: #12815 -#12818 := (iff #2964 #12817) -#12770 := (iff #2963 #12767) -#12771 := [rewrite]: #12770 -#12764 := (iff #2962 #12765) -#12766 := [rewrite]: #12764 -#12819 := [monotonicity #12766 #12771]: #12818 -#12822 := [monotonicity #12819 #12816]: #12821 -#12827 := [trans #12822 #12825]: #12826 -#12830 := [monotonicity #12827]: #12829 -#13517 := [monotonicity #12830 #13514]: #13516 -#13520 := [monotonicity #13517]: #13519 -#12721 := (iff #3325 #12720) -#12718 := (iff #3324 #12715) -#12711 := (implies #11964 #12708) -#12716 := (iff #12711 #12715) -#12717 := [rewrite]: #12716 -#12712 := (iff #3324 #12711) -#12709 := (iff #3323 #12708) -#12706 := (iff #3322 #12703) -#12699 := (implies #11967 #12696) -#12704 := (iff #12699 #12703) -#12705 := [rewrite]: #12704 -#12700 := (iff #3322 #12699) -#12697 := (iff #3321 #12696) -#12694 := (iff #3320 #12691) -#12687 := (implies #11976 #12684) -#12692 := (iff #12687 #12691) -#12693 := [rewrite]: #12692 -#12688 := (iff #3320 #12687) -#12685 := (iff #3319 #12684) -#12682 := (iff #3318 #12679) -#12675 := (implies #12005 #12672) -#12680 := (iff #12675 #12679) -#12681 := [rewrite]: #12680 -#12676 := (iff #3318 #12675) -#12673 := (iff #3317 #12672) -#12670 := (iff #3316 #12667) -#12663 := (implies #3069 #12660) -#12668 := (iff #12663 #12667) -#12669 := [rewrite]: #12668 -#12664 := (iff #3316 #12663) -#12661 := (iff #3315 #12660) -#12658 := (iff #3314 #12655) -#12651 := (implies #12012 #12648) -#12656 := (iff #12651 #12655) -#12657 := [rewrite]: #12656 -#12652 := (iff #3314 #12651) -#12649 := (iff #3313 #12648) -#12646 := (iff #3312 #12643) -#12639 := (implies #12062 #12627) -#12644 := (iff #12639 #12643) -#12645 := [rewrite]: #12644 -#12640 := (iff #3312 #12639) -#12637 := (iff #3311 #12627) -#12632 := (and true #12627) -#12635 := (iff #12632 #12627) -#12636 := [rewrite]: #12635 -#12633 := (iff #3311 #12632) -#12630 := (iff #3310 #12627) -#12623 := (implies #12337 #12620) -#12628 := (iff #12623 #12627) +#12758 := (iff #3279 #12757) +#12755 := (iff #3278 #12752) +#12748 := (implies #3172 #12743) +#12753 := (iff #12748 #12752) +#12754 := [rewrite]: #12753 +#12749 := (iff #3278 #12748) +#12746 := (iff #3277 #12743) +#12739 := (implies #3173 #12734) +#12744 := (iff #12739 #12743) +#12745 := [rewrite]: #12744 +#12740 := (iff #3277 #12739) +#12737 := (iff #3276 #12734) +#12730 := (implies #3176 #12718) +#12735 := (iff #12730 #12734) +#12736 := [rewrite]: #12735 +#12731 := (iff #3276 #12730) +#12728 := (iff #3275 #12718) +#12723 := (implies true #12718) +#12726 := (iff #12723 #12718) +#12727 := [rewrite]: #12726 +#12724 := (iff #3275 #12723) +#12721 := (iff #3274 #12718) +#12715 := (implies #11971 #12712) +#12719 := (iff #12715 #12718) +#12720 := [rewrite]: #12719 +#12716 := (iff #3274 #12715) +#12713 := (iff #3273 #12712) +#12710 := (iff #3272 #12707) +#12704 := (implies #11971 #12699) +#12708 := (iff #12704 #12707) +#12709 := [rewrite]: #12708 +#12705 := (iff #3272 #12704) +#12702 := (iff #3271 #12699) +#12695 := (implies #3268 #12690) +#12700 := (iff #12695 #12699) +#12701 := [rewrite]: #12700 +#12696 := (iff #3271 #12695) +#12693 := (iff #3270 #12690) +#12687 := (implies #11971 #12682) +#12691 := (iff #12687 #12690) +#12692 := [rewrite]: #12691 +#12688 := (iff #3270 #12687) +#12685 := (iff #3269 #12682) +#12679 := (implies #11971 #12133) +#12683 := (iff #12679 #12682) +#12684 := [rewrite]: #12683 +#12680 := (iff #3269 #12679) +#12136 := (iff #3121 #12133) +#12130 := (implies #11971 #12125) +#12134 := (iff #12130 #12133) +#12135 := [rewrite]: #12134 +#12131 := (iff #3121 #12130) +#12128 := (iff #3120 #12125) +#12122 := (implies #11971 #12119) +#12126 := (iff #12122 #12125) +#12127 := [rewrite]: #12126 +#12123 := (iff #3120 #12122) +#12120 := (iff #3119 #12119) +#12117 := (iff #3118 #12114) +#12110 := (implies up_216 #12105) +#12115 := (iff #12110 #12114) +#12116 := [rewrite]: #12115 +#12111 := (iff #3118 #12110) +#12108 := (iff #3117 #12105) +#12102 := (implies #11971 #12097) +#12106 := (iff #12102 #12105) +#12107 := [rewrite]: #12106 +#12103 := (iff #3117 #12102) +#12100 := (iff #3116 #12097) +#12094 := (implies #11971 #12089) +#12098 := (iff #12094 #12097) +#12099 := [rewrite]: #12098 +#12095 := (iff #3116 #12094) +#12092 := (iff #3115 #12089) +#12085 := (implies #11971 #12080) +#12090 := (iff #12085 #12089) +#12091 := [rewrite]: #12090 +#12086 := (iff #3115 #12085) +#12083 := (iff #3114 #12080) +#12076 := (implies #12008 #12071) +#12081 := (iff #12076 #12080) +#12082 := [rewrite]: #12081 +#12077 := (iff #3114 #12076) +#12074 := (iff #3113 #12071) +#12067 := (implies #12011 #12062) +#12072 := (iff #12067 #12071) +#12073 := [rewrite]: #12072 +#12068 := (iff #3113 #12067) +#12065 := (iff #3112 #12062) +#12058 := (implies #12014 #12053) +#12063 := (iff #12058 #12062) +#12064 := [rewrite]: #12063 +#12059 := (iff #3112 #12058) +#12056 := (iff #3111 #12053) +#12049 := (implies #12017 #12046) +#12054 := (iff #12049 #12053) +#12055 := [rewrite]: #12054 +#12050 := (iff #3111 #12049) +#12047 := (iff #3110 #12046) +#12044 := (iff #3109 #12041) +#12037 := (implies #12032 #3107) +#12042 := (iff #12037 #12041) +#12043 := [rewrite]: #12042 +#12038 := (iff #3109 #12037) +#12035 := (iff #3108 #3107) +#12036 := [rewrite]: #12035 +#12033 := (iff #3102 #12032) +#12030 := (iff #3101 #12027) +#12024 := (implies #412 #12021) +#12028 := (iff #12024 #12027) +#12029 := [rewrite]: #12028 +#12025 := (iff #3101 #12024) +#12022 := (iff #3100 #12021) +#12023 := [rewrite]: #12022 +#12026 := [monotonicity #12023]: #12025 +#12031 := [trans #12026 #12029]: #12030 +#12034 := [quant-intro #12031]: #12033 +#12039 := [monotonicity #12034 #12036]: #12038 +#12045 := [trans #12039 #12043]: #12044 +#12048 := [monotonicity #12034 #12045]: #12047 +#12018 := (iff #3097 #12017) +#12019 := [rewrite]: #12018 +#12051 := [monotonicity #12019 #12048]: #12050 +#12057 := [trans #12051 #12055]: #12056 +#12015 := (iff #3095 #12014) +#12016 := [rewrite]: #12015 +#12060 := [monotonicity #12016 #12057]: #12059 +#12066 := [trans #12060 #12064]: #12065 +#12012 := (iff #3093 #12011) +#12013 := [rewrite]: #12012 +#12069 := [monotonicity #12013 #12066]: #12068 +#12075 := [trans #12069 #12073]: #12074 +#12009 := (iff #3091 #12008) +#12010 := [rewrite]: #12009 +#12078 := [monotonicity #12010 #12075]: #12077 +#12084 := [trans #12078 #12082]: #12083 +#11972 := (iff #3074 #11971) +#11973 := [rewrite]: #11972 +#12087 := [monotonicity #11973 #12084]: #12086 +#12093 := [trans #12087 #12091]: #12092 +#12096 := [monotonicity #11973 #12093]: #12095 +#12101 := [trans #12096 #12099]: #12100 +#12104 := [monotonicity #11973 #12101]: #12103 +#12109 := [trans #12104 #12107]: #12108 +#12112 := [monotonicity #12109]: #12111 +#12118 := [trans #12112 #12116]: #12117 +#12121 := [monotonicity #12118]: #12120 +#12124 := [monotonicity #11973 #12121]: #12123 +#12129 := [trans #12124 #12127]: #12128 +#12132 := [monotonicity #11973 #12129]: #12131 +#12137 := [trans #12132 #12135]: #12136 +#12681 := [monotonicity #11973 #12137]: #12680 +#12686 := [trans #12681 #12684]: #12685 +#12689 := [monotonicity #11973 #12686]: #12688 +#12694 := [trans #12689 #12692]: #12693 +#12697 := [monotonicity #12694]: #12696 +#12703 := [trans #12697 #12701]: #12702 +#12706 := [monotonicity #11973 #12703]: #12705 +#12711 := [trans #12706 #12709]: #12710 +#12677 := (iff #3267 #12674) +#12671 := (implies #11971 #12666) +#12675 := (iff #12671 #12674) +#12676 := [rewrite]: #12675 +#12672 := (iff #3267 #12671) +#12669 := (iff #3266 #12666) +#12662 := (implies #3180 #12657) +#12667 := (iff #12662 #12666) +#12668 := [rewrite]: #12667 +#12663 := (iff #3266 #12662) +#12660 := (iff #3265 #12657) +#12654 := (implies #11971 #12649) +#12658 := (iff #12654 #12657) +#12659 := [rewrite]: #12658 +#12655 := (iff #3265 #12654) +#12652 := (iff #3264 #12649) +#12646 := (implies #11971 #12643) +#12650 := (iff #12646 #12649) +#12651 := [rewrite]: #12650 +#12647 := (iff #3264 #12646) +#12644 := (iff #3263 #12643) +#12641 := (iff #3262 #12638) +#12635 := (implies #12299 #12632) +#12639 := (iff #12635 #12638) +#12640 := [rewrite]: #12639 +#12636 := (iff #3262 #12635) +#12633 := (iff #3261 #12632) +#12630 := (iff #3260 #12627) +#12624 := (implies #12305 #12619) +#12628 := (iff #12624 #12627) #12629 := [rewrite]: #12628 -#12624 := (iff #3310 #12623) -#12621 := (iff #3309 #12620) -#12618 := (iff #3308 #12615) -#12611 := (implies #12608 #12174) -#12616 := (iff #12611 #12615) -#12617 := [rewrite]: #12616 -#12612 := (iff #3308 #12611) -#12175 := (iff #3150 #12174) -#12172 := (iff #3149 #12169) -#12165 := (implies #12143 #12162) -#12170 := (iff #12165 #12169) -#12171 := [rewrite]: #12170 -#12166 := (iff #3149 #12165) -#12163 := (iff #3148 #12162) -#12160 := (iff #3147 #12157) -#12153 := (implies #12150 #3146) -#12158 := (iff #12153 #12157) -#12159 := [rewrite]: #12158 -#12154 := (iff #3147 #12153) -#12151 := (iff #3141 #12150) -#12148 := (iff #3140 #12147) -#12149 := [rewrite]: #12148 -#12152 := [quant-intro #12149]: #12151 -#12155 := [monotonicity #12152]: #12154 -#12161 := [trans #12155 #12159]: #12160 -#12164 := [monotonicity #12152 #12161]: #12163 -#12144 := (iff #3136 #12143) -#12141 := (iff #3135 #12140) -#12138 := (iff #3134 #12137) -#12135 := (iff #3133 #12134) -#12132 := (iff #3132 #12131) -#12129 := (iff #3131 #12128) -#12126 := (iff #3130 #12125) -#12123 := (iff #3129 #12122) -#12124 := [rewrite]: #12123 -#12120 := (iff #3127 #12119) -#12121 := [rewrite]: #12120 -#12127 := [monotonicity #12121 #12124]: #12126 -#12117 := (iff #3125 #12116) -#12118 := [rewrite]: #12117 -#12130 := [monotonicity #12118 #12127]: #12129 -#12114 := (iff #3123 #12113) -#12115 := [rewrite]: #12114 -#12133 := [monotonicity #12115 #12130]: #12132 -#12021 := (iff #3092 #12020) -#12022 := [rewrite]: #12021 -#12136 := [monotonicity #12022 #12133]: #12135 -#12139 := [monotonicity #12022 #12136]: #12138 -#12142 := [monotonicity #12022 #12139]: #12141 -#12145 := [monotonicity #12142]: #12144 -#12167 := [monotonicity #12145 #12164]: #12166 -#12173 := [trans #12167 #12171]: #12172 -#12176 := [monotonicity #12173]: #12175 -#12609 := (iff #3307 #12608) -#12606 := (iff #3306 #12605) -#12603 := (iff #3305 #12020) -#12078 := (and #12020 #12020) -#12081 := (iff #12078 #12020) -#12082 := [rewrite]: #12081 -#12601 := (iff #3305 #12078) -#12599 := (iff #3304 #12020) -#12597 := (iff #3304 #12078) -#12083 := (iff #3116 #12020) -#12079 := (iff #3116 #12078) -#12080 := [monotonicity #12022 #12022]: #12079 -#12084 := [trans #12080 #12082]: #12083 -#12598 := [monotonicity #12022 #12084]: #12597 -#12600 := [trans #12598 #12082]: #12599 -#12602 := [monotonicity #12022 #12600]: #12601 -#12604 := [trans #12602 #12082]: #12603 -#12607 := [monotonicity #12604]: #12606 -#12610 := [monotonicity #12022 #12607]: #12609 -#12613 := [monotonicity #12610 #12176]: #12612 -#12619 := [trans #12613 #12617]: #12618 -#12595 := (iff #3302 #12592) -#12588 := (implies #12343 #12585) -#12593 := (iff #12588 #12592) -#12594 := [rewrite]: #12593 -#12589 := (iff #3302 #12588) -#12586 := (iff #3301 #12585) -#12583 := (iff #3300 #12580) -#12577 := (implies #12352 #12574) -#12581 := (iff #12577 #12580) -#12582 := [rewrite]: #12581 -#12578 := (iff #3300 #12577) -#12575 := (iff #3299 #12574) -#12572 := (iff #3298 #12569) -#12565 := (implies #12364 #12562) -#12570 := (iff #12565 #12569) -#12571 := [rewrite]: #12570 -#12566 := (iff #3298 #12565) -#12563 := (iff #3297 #12562) -#12560 := (iff #3296 #12557) -#12553 := (implies #12550 #12485) -#12558 := (iff #12553 #12557) -#12559 := [rewrite]: #12558 -#12554 := (iff #3296 #12553) -#12486 := (iff #3280 #12485) -#12483 := (iff #3279 #12480) -#12476 := (implies #12436 #12473) -#12481 := (iff #12476 #12480) -#12482 := [rewrite]: #12481 -#12477 := (iff #3279 #12476) -#12474 := (iff #3278 #12473) -#12471 := (iff #3277 #12468) -#12464 := (implies #3264 #12461) +#12625 := (iff #3260 #12624) +#12622 := (iff #3259 #12619) +#12616 := (implies #11971 #12613) +#12620 := (iff #12616 #12619) +#12621 := [rewrite]: #12620 +#12617 := (iff #3259 #12616) +#12614 := (iff #3258 #12613) +#12611 := (iff #3257 #12608) +#12605 := (implies #11971 #12600) +#12609 := (iff #12605 #12608) +#12610 := [rewrite]: #12609 +#12606 := (iff #3257 #12605) +#12603 := (iff #3256 #12600) +#12596 := (implies #3248 #12591) +#12601 := (iff #12596 #12600) +#12602 := [rewrite]: #12601 +#12597 := (iff #3256 #12596) +#12594 := (iff #3255 #12591) +#12588 := (implies #11971 #12583) +#12592 := (iff #12588 #12591) +#12593 := [rewrite]: #12592 +#12589 := (iff #3255 #12588) +#12586 := (iff #3254 #12583) +#12580 := (implies #11971 #12575) +#12584 := (iff #12580 #12583) +#12585 := [rewrite]: #12584 +#12581 := (iff #3254 #12580) +#12578 := (iff #3253 #12575) +#12572 := (implies #11971 #12567) +#12576 := (iff #12572 #12575) +#12577 := [rewrite]: #12576 +#12573 := (iff #3253 #12572) +#12570 := (iff #3252 #12567) +#12563 := (implies #12548 #12558) +#12568 := (iff #12563 #12567) +#12569 := [rewrite]: #12568 +#12564 := (iff #3252 #12563) +#12561 := (iff #3251 #12558) +#12554 := (implies #12551 #12432) +#12559 := (iff #12554 #12558) +#12560 := [rewrite]: #12559 +#12555 := (iff #3251 #12554) +#12435 := (iff #3233 #12432) +#12428 := (implies #3202 #12425) +#12433 := (iff #12428 #12432) +#12434 := [rewrite]: #12433 +#12429 := (iff #3233 #12428) +#12426 := (iff #3232 #12425) +#12423 := (iff #3231 #12420) +#12416 := (implies #12328 #12411) +#12421 := (iff #12416 #12420) +#12422 := [rewrite]: #12421 +#12417 := (iff #3231 #12416) +#12414 := (iff #3230 #12411) +#12407 := (implies #12331 #12402) +#12412 := (iff #12407 #12411) +#12413 := [rewrite]: #12412 +#12408 := (iff #3230 #12407) +#12405 := (iff #3229 #12402) +#12398 := (implies #3209 #12393) +#12403 := (iff #12398 #12402) +#12404 := [rewrite]: #12403 +#12399 := (iff #3229 #12398) +#12396 := (iff #3228 #12393) +#12389 := (implies #12334 #12386) +#12394 := (iff #12389 #12393) +#12395 := [rewrite]: #12394 +#12390 := (iff #3228 #12389) +#12387 := (iff #3227 #12386) +#12384 := (iff #3226 #12381) +#12377 := (implies #3212 #12374) +#12382 := (iff #12377 #12381) +#12383 := [rewrite]: #12382 +#12378 := (iff #3226 #12377) +#12375 := (iff #3225 #12374) +#12372 := (iff #3224 #12369) +#12365 := (implies #12349 #12355) +#12370 := (iff #12365 #12369) +#12371 := [rewrite]: #12370 +#12366 := (iff #3224 #12365) +#12363 := (iff #3223 #12355) +#12358 := (and #12355 true) +#12361 := (iff #12358 #12355) +#12362 := [rewrite]: #12361 +#12359 := (iff #3223 #12358) +#12356 := (iff #3222 #12355) +#12353 := (iff #3221 #12352) +#12354 := [rewrite]: #12353 +#12357 := [monotonicity #12354]: #12356 +#12360 := [monotonicity #12357]: #12359 +#12364 := [trans #12360 #12362]: #12363 +#12350 := (iff #3217 #12349) +#12347 := (iff #3216 #12344) +#12341 := (implies #412 #12338) +#12345 := (iff #12341 #12344) +#12346 := [rewrite]: #12345 +#12342 := (iff #3216 #12341) +#12339 := (iff #3215 #12338) +#12340 := [rewrite]: #12339 +#12343 := [monotonicity #12340]: #12342 +#12348 := [trans #12343 #12346]: #12347 +#12351 := [quant-intro #12348]: #12350 +#12367 := [monotonicity #12351 #12364]: #12366 +#12373 := [trans #12367 #12371]: #12372 +#12376 := [monotonicity #12351 #12373]: #12375 +#12379 := [monotonicity #12376]: #12378 +#12385 := [trans #12379 #12383]: #12384 +#12388 := [monotonicity #12385]: #12387 +#12335 := (iff #3211 #12334) +#12336 := [rewrite]: #12335 +#12391 := [monotonicity #12336 #12388]: #12390 +#12397 := [trans #12391 #12395]: #12396 +#12400 := [monotonicity #12397]: #12399 +#12406 := [trans #12400 #12404]: #12405 +#12332 := (iff #3208 #12331) +#12320 := (= #3203 #12319) +#12321 := [rewrite]: #12320 +#12333 := [monotonicity #12321]: #12332 +#12409 := [monotonicity #12333 #12406]: #12408 +#12415 := [trans #12409 #12413]: #12414 +#12329 := (iff #3206 #12328) +#12326 := (iff #3205 #12325) +#12327 := [monotonicity #12321]: #12326 +#12323 := (iff #3204 #12322) +#12324 := [monotonicity #12321]: #12323 +#12330 := [monotonicity #12324 #12327]: #12329 +#12418 := [monotonicity #12330 #12415]: #12417 +#12424 := [trans #12418 #12422]: #12423 +#12427 := [monotonicity #12330 #12424]: #12426 +#12430 := [monotonicity #12427]: #12429 +#12436 := [trans #12430 #12434]: #12435 +#12552 := (iff #3250 #12551) +#12553 := [rewrite]: #12552 +#12556 := [monotonicity #12553 #12436]: #12555 +#12562 := [trans #12556 #12560]: #12561 +#12549 := (iff #3249 #12548) +#12550 := [rewrite]: #12549 +#12565 := [monotonicity #12550 #12562]: #12564 +#12571 := [trans #12565 #12569]: #12570 +#12574 := [monotonicity #11973 #12571]: #12573 +#12579 := [trans #12574 #12577]: #12578 +#12582 := [monotonicity #11973 #12579]: #12581 +#12587 := [trans #12582 #12585]: #12586 +#12590 := [monotonicity #11973 #12587]: #12589 +#12595 := [trans #12590 #12593]: #12594 +#12598 := [monotonicity #12595]: #12597 +#12604 := [trans #12598 #12602]: #12603 +#12607 := [monotonicity #11973 #12604]: #12606 +#12612 := [trans #12607 #12610]: #12611 +#12546 := (iff #3247 #12543) +#12540 := (implies #11971 #12535) +#12544 := (iff #12540 #12543) +#12545 := [rewrite]: #12544 +#12541 := (iff #3247 #12540) +#12538 := (iff #3246 #12535) +#12531 := (implies #3191 #12526) +#12536 := (iff #12531 #12535) +#12537 := [rewrite]: #12536 +#12532 := (iff #3246 #12531) +#12529 := (iff #3245 #12526) +#12523 := (implies #11971 #12518) +#12527 := (iff #12523 #12526) +#12528 := [rewrite]: #12527 +#12524 := (iff #3245 #12523) +#12521 := (iff #3244 #12518) +#12515 := (implies #11971 #12512) +#12519 := (iff #12515 #12518) +#12520 := [rewrite]: #12519 +#12516 := (iff #3244 #12515) +#12513 := (iff #3243 #12512) +#12510 := (iff #3242 #12507) +#12503 := (implies #12299 #12500) +#12508 := (iff #12503 #12507) +#12509 := [rewrite]: #12508 +#12504 := (iff #3242 #12503) +#12501 := (iff #3241 #12500) +#12498 := (iff #3240 #12495) +#12491 := (implies #12305 #12486) +#12496 := (iff #12491 #12495) +#12497 := [rewrite]: #12496 +#12492 := (iff #3240 #12491) +#12489 := (iff #3239 #12486) +#12482 := (implies #12308 #12477) +#12487 := (iff #12482 #12486) +#12488 := [rewrite]: #12487 +#12483 := (iff #3239 #12482) +#12480 := (iff #3238 #12477) +#12473 := (implies #3194 #12468) +#12478 := (iff #12473 #12477) +#12479 := [rewrite]: #12478 +#12474 := (iff #3238 #12473) +#12471 := (iff #3237 #12468) +#12464 := (implies #3195 #12459) #12469 := (iff #12464 #12468) #12470 := [rewrite]: #12469 -#12465 := (iff #3277 #12464) -#12462 := (iff #3276 #12461) -#12459 := (iff #3275 #12456) -#12452 := (implies #12443 #12449) -#12457 := (iff #12452 #12456) -#12458 := [rewrite]: #12457 -#12453 := (iff #3275 #12452) -#12450 := (iff #3274 #12449) -#12447 := (iff #3273 #12446) -#12448 := [rewrite]: #12447 -#12451 := [monotonicity #12448]: #12450 -#12444 := (iff #3269 #12443) -#12441 := (iff #3268 #12440) -#12442 := [rewrite]: #12441 -#12445 := [quant-intro #12442]: #12444 -#12454 := [monotonicity #12445 #12451]: #12453 -#12460 := [trans #12454 #12458]: #12459 -#12463 := [monotonicity #12445 #12460]: #12462 +#12465 := (iff #3237 #12464) +#12462 := (iff #3236 #12459) +#12455 := (implies #3073 #12450) +#12460 := (iff #12455 #12459) +#12461 := [rewrite]: #12460 +#12456 := (iff #3236 #12455) +#12453 := (iff #3235 #12450) +#12446 := (implies #12313 #12441) +#12451 := (iff #12446 #12450) +#12452 := [rewrite]: #12451 +#12447 := (iff #3235 #12446) +#12444 := (iff #3234 #12441) +#12437 := (implies #12316 #12432) +#12442 := (iff #12437 #12441) +#12443 := [rewrite]: #12442 +#12438 := (iff #3234 #12437) +#12317 := (iff #3200 #12316) +#12318 := [rewrite]: #12317 +#12439 := [monotonicity #12318 #12436]: #12438 +#12445 := [trans #12439 #12443]: #12444 +#12314 := (iff #3198 #12313) +#12315 := [rewrite]: #12314 +#12448 := [monotonicity #12315 #12445]: #12447 +#12454 := [trans #12448 #12452]: #12453 +#12311 := (iff #3196 #3073) +#12312 := [rewrite]: #12311 +#12457 := [monotonicity #12312 #12454]: #12456 +#12463 := [trans #12457 #12461]: #12462 #12466 := [monotonicity #12463]: #12465 #12472 := [trans #12466 #12470]: #12471 #12475 := [monotonicity #12472]: #12474 -#12437 := (iff #3263 #12436) -#12434 := (iff #3262 #12433) -#12431 := (iff #3261 #12430) -#12428 := (iff #3260 #12427) -#12429 := [rewrite]: #12428 -#12432 := [monotonicity #12429]: #12431 -#12425 := (iff #3257 #12424) -#12413 := (= #3252 #12412) -#12414 := [rewrite]: #12413 -#12426 := [monotonicity #12414]: #12425 -#12435 := [monotonicity #12426 #12432]: #12434 -#12422 := (iff #3255 #12421) -#12419 := (iff #3254 #12418) -#12420 := [monotonicity #12414]: #12419 -#12416 := (iff #3253 #12415) -#12417 := [monotonicity #12414]: #12416 -#12423 := [monotonicity #12417 #12420]: #12422 -#12438 := [monotonicity #12423 #12435]: #12437 -#12478 := [monotonicity #12438 #12475]: #12477 -#12484 := [trans #12478 #12482]: #12483 -#12487 := [monotonicity #12423 #12484]: #12486 -#12551 := (iff #3295 #12550) -#12548 := (iff #3294 #12547) -#12545 := (iff #3293 #12544) -#12542 := (iff #3292 #12541) -#12539 := (iff #3291 #12538) -#12536 := (iff #3290 #12535) -#12533 := (iff #3289 #12530) -#12527 := (and #12524 #3244) -#12531 := (iff #12527 #12530) -#12532 := [rewrite]: #12531 -#12528 := (iff #3289 #12527) -#12525 := (iff #3288 #12524) -#12526 := [rewrite]: #12525 -#12529 := [monotonicity #12526]: #12528 -#12534 := [trans #12529 #12532]: #12533 -#12522 := (iff #3287 #12521) -#12523 := [rewrite]: #12522 -#12537 := [monotonicity #12523 #12534]: #12536 -#12540 := [monotonicity #12022 #12537]: #12539 -#12543 := [monotonicity #12022 #12540]: #12542 -#12546 := [monotonicity #12022 #12543]: #12545 -#12549 := [monotonicity #12546]: #12548 -#12552 := [monotonicity #12022 #12549]: #12551 -#12555 := [monotonicity #12552 #12487]: #12554 -#12561 := [trans #12555 #12559]: #12560 -#12519 := (iff #3285 #12516) -#12512 := (implies #12372 #12509) -#12517 := (iff #12512 #12516) -#12518 := [rewrite]: #12517 -#12513 := (iff #3285 #12512) -#12510 := (iff #3284 #12509) -#12507 := (iff #3283 #12504) -#12500 := (implies #12352 #12497) -#12505 := (iff #12500 #12504) -#12506 := [rewrite]: #12505 -#12501 := (iff #3283 #12500) -#12498 := (iff #3282 #12497) -#12495 := (iff #3281 #12492) -#12488 := (implies #12409 #12485) -#12493 := (iff #12488 #12492) -#12494 := [rewrite]: #12493 -#12489 := (iff #3281 #12488) -#12410 := (iff #3251 #12409) -#12407 := (iff #3250 #12406) -#12404 := (iff #3249 #12403) -#12401 := (iff #3248 #12400) -#12398 := (iff #3247 #12397) -#12395 := (iff #3246 #12394) -#12392 := (iff #3245 #12389) -#12386 := (and #12383 #3244) -#12390 := (iff #12386 #12389) -#12391 := [rewrite]: #12390 -#12387 := (iff #3245 #12386) -#12384 := (iff #3242 #12383) -#12385 := [rewrite]: #12384 -#12388 := [monotonicity #12385]: #12387 -#12393 := [trans #12388 #12391]: #12392 -#12381 := (iff #3240 #12380) -#12382 := [rewrite]: #12381 -#12396 := [monotonicity #12382 #12393]: #12395 -#12378 := (iff #3238 #3091) -#12379 := [rewrite]: #12378 -#12399 := [monotonicity #12379 #12396]: #12398 -#12402 := [monotonicity #12399]: #12401 -#12405 := [monotonicity #12402]: #12404 -#12376 := (iff #3235 #12375) -#12377 := [rewrite]: #12376 -#12408 := [monotonicity #12377 #12405]: #12407 -#12359 := (iff #3228 #12358) -#12356 := (iff #3227 #12355) -#12357 := [rewrite]: #12356 -#12347 := (iff #3222 #12346) -#12348 := [rewrite]: #12347 -#12360 := [monotonicity #12348 #12357]: #12359 -#12411 := [monotonicity #12360 #12408]: #12410 -#12490 := [monotonicity #12411 #12487]: #12489 -#12496 := [trans #12490 #12494]: #12495 -#12499 := [monotonicity #12360 #12496]: #12498 -#12353 := (iff #3225 #12352) -#12350 := (iff #3224 #12349) -#12351 := [rewrite]: #12350 -#12354 := [monotonicity #12348 #12351]: #12353 -#12502 := [monotonicity #12354 #12499]: #12501 -#12508 := [trans #12502 #12506]: #12507 -#12511 := [monotonicity #12354 #12508]: #12510 -#12373 := (iff #3233 #12372) -#12370 := (iff #3232 #12369) -#12371 := [monotonicity #12084]: #12370 -#12374 := [monotonicity #12022 #12371]: #12373 -#12514 := [monotonicity #12374 #12511]: #12513 -#12520 := [trans #12514 #12518]: #12519 -#12564 := [monotonicity #12520 #12561]: #12563 -#12367 := (iff #3229 #12364) -#12361 := (and #12358 #12020) -#12365 := (iff #12361 #12364) -#12366 := [rewrite]: #12365 -#12362 := (iff #3229 #12361) -#12363 := [monotonicity #12360 #12022]: #12362 -#12368 := [trans #12363 #12366]: #12367 -#12567 := [monotonicity #12368 #12564]: #12566 -#12573 := [trans #12567 #12571]: #12572 -#12576 := [monotonicity #12360 #12573]: #12575 -#12579 := [monotonicity #12354 #12576]: #12578 -#12584 := [trans #12579 #12582]: #12583 -#12587 := [monotonicity #12354 #12584]: #12586 -#12344 := (iff #3219 #12343) -#12341 := (iff #3218 #12340) -#12342 := [monotonicity #12084]: #12341 -#12345 := [monotonicity #12022 #12342]: #12344 -#12590 := [monotonicity #12345 #12587]: #12589 -#12596 := [trans #12590 #12594]: #12595 -#12622 := [monotonicity #12596 #12619]: #12621 -#12338 := (iff #3216 #12337) -#12335 := (iff #3215 #12334) -#12332 := (iff #3214 #12331) -#12329 := (iff #3213 #12328) -#12326 := (iff #3212 #12325) -#12323 := (iff #3211 #12322) -#12320 := (iff #3210 #12319) -#12317 := (iff #3209 #12316) -#12314 := (iff #3208 #12313) -#12311 := (iff #3207 #12310) -#12308 := (iff #3206 #12307) -#12305 := (iff #3205 #12020) -#12300 := (and true #12020) -#12303 := (iff #12300 #12020) +#12481 := [trans #12475 #12479]: #12480 +#12309 := (iff #3193 #12308) +#12310 := [rewrite]: #12309 +#12484 := [monotonicity #12310 #12481]: #12483 +#12490 := [trans #12484 #12488]: #12489 +#12306 := (iff #3189 #12305) +#12303 := (iff #3188 #12302) #12304 := [rewrite]: #12303 -#12301 := (iff #3205 #12300) -#12298 := (iff #3204 true) -#12296 := (iff #12293 true) -#12297 := [rewrite]: #12296 -#12294 := (iff #3204 #12293) -#12291 := (iff #3203 true) -#12292 := [rewrite]: #12291 -#12289 := (iff #3202 true) +#12294 := (iff #3183 #12293) +#12295 := [rewrite]: #12294 +#12307 := [monotonicity #12295 #12304]: #12306 +#12493 := [monotonicity #12307 #12490]: #12492 +#12499 := [trans #12493 #12497]: #12498 +#12502 := [monotonicity #12307 #12499]: #12501 +#12300 := (iff #3186 #12299) +#12297 := (iff #3185 #12296) +#12298 := [rewrite]: #12297 +#12301 := [monotonicity #12295 #12298]: #12300 +#12505 := [monotonicity #12301 #12502]: #12504 +#12511 := [trans #12505 #12509]: #12510 +#12514 := [monotonicity #12301 #12511]: #12513 +#12517 := [monotonicity #11973 #12514]: #12516 +#12522 := [trans #12517 #12520]: #12521 +#12525 := [monotonicity #11973 #12522]: #12524 +#12530 := [trans #12525 #12528]: #12529 +#12533 := [monotonicity #12530]: #12532 +#12539 := [trans #12533 #12537]: #12538 +#12542 := [monotonicity #11973 #12539]: #12541 +#12547 := [trans #12542 #12545]: #12546 +#12615 := [monotonicity #12547 #12612]: #12614 +#12618 := [monotonicity #11973 #12615]: #12617 +#12623 := [trans #12618 #12621]: #12622 +#12626 := [monotonicity #12307 #12623]: #12625 +#12631 := [trans #12626 #12629]: #12630 +#12634 := [monotonicity #12307 #12631]: #12633 +#12637 := [monotonicity #12301 #12634]: #12636 +#12642 := [trans #12637 #12640]: #12641 +#12645 := [monotonicity #12301 #12642]: #12644 +#12648 := [monotonicity #11973 #12645]: #12647 +#12653 := [trans #12648 #12651]: #12652 +#12656 := [monotonicity #11973 #12653]: #12655 +#12661 := [trans #12656 #12659]: #12660 +#12664 := [monotonicity #12661]: #12663 +#12670 := [trans #12664 #12668]: #12669 +#12673 := [monotonicity #11973 #12670]: #12672 +#12678 := [trans #12673 #12676]: #12677 +#12714 := [monotonicity #12678 #12711]: #12713 +#12717 := [monotonicity #11973 #12714]: #12716 +#12722 := [trans #12717 #12720]: #12721 +#12291 := (iff #3179 true) +#12289 := (iff #12286 true) #12290 := [rewrite]: #12289 -#12295 := [monotonicity #12290 #12292]: #12294 -#12299 := [trans #12295 #12297]: #12298 -#12302 := [monotonicity #12299 #12022]: #12301 -#12306 := [trans #12302 #12304]: #12305 -#12309 := [monotonicity #12306]: #12308 -#12312 := [monotonicity #12309]: #12311 -#12315 := [monotonicity #12312]: #12314 -#12318 := [monotonicity #12315]: #12317 -#12321 := [monotonicity #12318]: #12320 -#12076 := (iff #3115 #12073) -#12070 := (and #12067 #11903) -#12074 := (iff #12070 #12073) -#12075 := [rewrite]: #12074 -#12071 := (iff #3115 #12070) -#11904 := (iff #3005 #11903) -#11905 := [rewrite]: #11904 -#12068 := (iff #3114 #12067) -#12069 := [rewrite]: #12068 -#12072 := [monotonicity #12069 #11905]: #12071 -#12077 := [trans #12072 #12075]: #12076 -#12324 := [monotonicity #12077 #12321]: #12323 -#12268 := (iff #3190 #12267) -#12265 := (iff #3189 #12264) -#12262 := (iff #3188 #12261) -#12263 := [rewrite]: #12262 -#12266 := [monotonicity #12263]: #12265 -#12269 := [monotonicity #12266]: #12268 -#12327 := [monotonicity #12269 #12324]: #12326 -#12287 := (iff #3194 #12267) -#12270 := (and true #12267) -#12273 := (iff #12270 #12267) -#12274 := [rewrite]: #12273 -#12285 := (iff #3194 #12270) -#12283 := (iff #3193 #12267) -#12281 := (iff #3193 #12270) -#12279 := (iff #3192 #12267) -#12277 := (iff #3192 #12270) -#12275 := (iff #3191 #12267) -#12271 := (iff #3191 #12270) -#12259 := (iff #3181 true) -#12254 := (forall (vars (?x782 T5)) (:pat #3177) true) -#12257 := (iff #12254 true) -#12258 := [elim-unused]: #12257 -#12255 := (iff #3181 #12254) -#12252 := (iff #3180 true) -#12204 := (= uf_9 #3165) -#12216 := (implies #12204 #12204) -#12219 := (iff #12216 true) -#12220 := [rewrite]: #12219 -#12250 := (iff #3180 #12216) -#12248 := (iff #3179 #12204) -#12209 := (and true #12204) -#12212 := (iff #12209 #12204) +#12287 := (iff #3179 #12286) +#12284 := (iff #3178 true) +#12285 := [rewrite]: #12284 +#12282 := (iff #3177 true) +#12283 := [rewrite]: #12282 +#12288 := [monotonicity #12283 #12285]: #12287 +#12292 := [trans #12288 #12290]: #12291 +#12725 := [monotonicity #12292 #12722]: #12724 +#12729 := [trans #12725 #12727]: #12728 +#12732 := [monotonicity #12729]: #12731 +#12738 := [trans #12732 #12736]: #12737 +#12741 := [monotonicity #12738]: #12740 +#12747 := [trans #12741 #12745]: #12746 +#12750 := [monotonicity #12747]: #12749 +#12756 := [trans #12750 #12754]: #12755 +#12759 := [monotonicity #12756]: #12758 +#12765 := [trans #12759 #12763]: #12764 +#12768 := [monotonicity #12765]: #12767 +#12774 := [trans #12768 #12772]: #12773 +#12006 := (iff #3089 #12003) +#12000 := (and #11997 #11905) +#12004 := (iff #12000 #12003) +#12005 := [rewrite]: #12004 +#12001 := (iff #3089 #12000) +#11906 := (iff #3005 #11905) +#11907 := [rewrite]: #11906 +#11998 := (iff #3088 #11997) +#11999 := [rewrite]: #11998 +#12002 := [monotonicity #11999 #11907]: #12001 +#12007 := [trans #12002 #12005]: #12006 +#12777 := [monotonicity #12007 #12774]: #12776 +#12782 := [trans #12777 #12780]: #12781 +#12261 := (iff #3165 #12260) +#12258 := (iff #3164 #12257) +#12255 := (iff #3163 #12254) +#12256 := [rewrite]: #12255 +#12259 := [monotonicity #12256]: #12258 +#12262 := [monotonicity #12259]: #12261 +#12785 := [monotonicity #12262 #12782]: #12784 +#12791 := [trans #12785 #12789]: #12790 +#12280 := (iff #3169 #12260) +#12263 := (and true #12260) +#12266 := (iff #12263 #12260) +#12267 := [rewrite]: #12266 +#12278 := (iff #3169 #12263) +#12276 := (iff #3168 #12260) +#12274 := (iff #3168 #12263) +#12272 := (iff #3167 #12260) +#12270 := (iff #3167 #12263) +#12268 := (iff #3166 #12260) +#12264 := (iff #3166 #12263) +#12252 := (iff #3156 true) +#12247 := (forall (vars (?x782 T5)) (:pat #3152) true) +#12250 := (iff #12247 true) +#12251 := [elim-unused]: #12250 +#12248 := (iff #3156 #12247) +#12245 := (iff #3155 true) +#12197 := (= uf_9 #3140) +#12209 := (implies #12197 #12197) +#12212 := (iff #12209 true) #12213 := [rewrite]: #12212 -#12246 := (iff #3179 #12209) -#12205 := (iff #3166 #12204) +#12243 := (iff #3155 #12209) +#12241 := (iff #3154 #12197) +#12202 := (and true #12197) +#12205 := (iff #12202 #12197) #12206 := [rewrite]: #12205 -#12244 := (iff #3178 true) -#12245 := [rewrite]: #12244 -#12247 := [monotonicity #12245 #12206]: #12246 -#12249 := [trans #12247 #12213]: #12248 -#12251 := [monotonicity #12206 #12249]: #12250 -#12253 := [trans #12251 #12220]: #12252 -#12256 := [quant-intro #12253]: #12255 -#12260 := [trans #12256 #12258]: #12259 -#12272 := [monotonicity #12260 #12269]: #12271 -#12276 := [trans #12272 #12274]: #12275 -#12242 := (iff #3174 true) -#12197 := (forall (vars (?x779 T5)) (:pat #3154) true) -#12200 := (iff #12197 true) -#12201 := [elim-unused]: #12200 -#12240 := (iff #3174 #12197) -#12238 := (iff #3173 true) -#12236 := (iff #3173 #12216) -#12234 := (iff #3172 #12204) -#12232 := (iff #3172 #12209) -#12230 := (iff #3171 true) -#12231 := [rewrite]: #12230 -#12233 := [monotonicity #12231 #12206]: #12232 -#12235 := [trans #12233 #12213]: #12234 -#12237 := [monotonicity #12206 #12235]: #12236 -#12239 := [trans #12237 #12220]: #12238 -#12241 := [quant-intro #12239]: #12240 -#12243 := [trans #12241 #12201]: #12242 -#12278 := [monotonicity #12243 #12276]: #12277 -#12280 := [trans #12278 #12274]: #12279 -#12228 := (iff #3170 true) -#12223 := (forall (vars (?x780 T5)) (:pat #3164) true) -#12226 := (iff #12223 true) -#12227 := [elim-unused]: #12226 -#12224 := (iff #3170 #12223) -#12221 := (iff #3169 true) -#12217 := (iff #3169 #12216) -#12214 := (iff #3168 #12204) -#12210 := (iff #3168 #12209) -#12207 := (iff #3167 true) -#12208 := [rewrite]: #12207 -#12211 := [monotonicity #12208 #12206]: #12210 +#12239 := (iff #3154 #12202) +#12198 := (iff #3141 #12197) +#12199 := [rewrite]: #12198 +#12237 := (iff #3153 true) +#12238 := [rewrite]: #12237 +#12240 := [monotonicity #12238 #12199]: #12239 +#12242 := [trans #12240 #12206]: #12241 +#12244 := [monotonicity #12199 #12242]: #12243 +#12246 := [trans #12244 #12213]: #12245 +#12249 := [quant-intro #12246]: #12248 +#12253 := [trans #12249 #12251]: #12252 +#12265 := [monotonicity #12253 #12262]: #12264 +#12269 := [trans #12265 #12267]: #12268 +#12235 := (iff #3149 true) +#12190 := (forall (vars (?x779 T5)) (:pat #3129) true) +#12193 := (iff #12190 true) +#12194 := [elim-unused]: #12193 +#12233 := (iff #3149 #12190) +#12231 := (iff #3148 true) +#12229 := (iff #3148 #12209) +#12227 := (iff #3147 #12197) +#12225 := (iff #3147 #12202) +#12223 := (iff #3146 true) +#12224 := [rewrite]: #12223 +#12226 := [monotonicity #12224 #12199]: #12225 +#12228 := [trans #12226 #12206]: #12227 +#12230 := [monotonicity #12199 #12228]: #12229 +#12232 := [trans #12230 #12213]: #12231 +#12234 := [quant-intro #12232]: #12233 +#12236 := [trans #12234 #12194]: #12235 +#12271 := [monotonicity #12236 #12269]: #12270 +#12273 := [trans #12271 #12267]: #12272 +#12221 := (iff #3145 true) +#12216 := (forall (vars (?x780 T5)) (:pat #3139) true) +#12219 := (iff #12216 true) +#12220 := [elim-unused]: #12219 +#12217 := (iff #3145 #12216) +#12214 := (iff #3144 true) +#12210 := (iff #3144 #12209) +#12207 := (iff #3143 #12197) +#12203 := (iff #3143 #12202) +#12200 := (iff #3142 true) +#12201 := [rewrite]: #12200 +#12204 := [monotonicity #12201 #12199]: #12203 +#12208 := [trans #12204 #12206]: #12207 +#12211 := [monotonicity #12199 #12208]: #12210 #12215 := [trans #12211 #12213]: #12214 -#12218 := [monotonicity #12206 #12215]: #12217 +#12218 := [quant-intro #12215]: #12217 #12222 := [trans #12218 #12220]: #12221 -#12225 := [quant-intro #12222]: #12224 -#12229 := [trans #12225 #12227]: #12228 -#12282 := [monotonicity #12229 #12280]: #12281 -#12284 := [trans #12282 #12274]: #12283 -#12202 := (iff #3161 true) -#12198 := (iff #3161 #12197) -#12195 := (iff #3160 true) -#12184 := (= uf_261 #3157) -#12187 := (not #12184) -#12190 := (implies #12187 #12187) -#12193 := (iff #12190 true) -#12194 := [rewrite]: #12193 -#12191 := (iff #3160 #12190) -#12188 := (iff #3159 #12187) -#12185 := (iff #3158 #12184) -#12186 := [rewrite]: #12185 -#12189 := [monotonicity #12186]: #12188 -#12192 := [monotonicity #12189 #12189]: #12191 +#12275 := [monotonicity #12222 #12273]: #12274 +#12277 := [trans #12275 #12267]: #12276 +#12195 := (iff #3136 true) +#12191 := (iff #3136 #12190) +#12188 := (iff #3135 true) +#12177 := (= uf_261 #3132) +#12180 := (not #12177) +#12183 := (implies #12180 #12180) +#12186 := (iff #12183 true) +#12187 := [rewrite]: #12186 +#12184 := (iff #3135 #12183) +#12181 := (iff #3134 #12180) +#12178 := (iff #3133 #12177) +#12179 := [rewrite]: #12178 +#12182 := [monotonicity #12179]: #12181 +#12185 := [monotonicity #12182 #12182]: #12184 +#12189 := [trans #12185 #12187]: #12188 +#12192 := [quant-intro #12189]: #12191 #12196 := [trans #12192 #12194]: #12195 -#12199 := [quant-intro #12196]: #12198 -#12203 := [trans #12199 #12201]: #12202 -#12286 := [monotonicity #12203 #12284]: #12285 -#12288 := [trans #12286 #12274]: #12287 -#12330 := [monotonicity #12288 #12327]: #12329 -#12333 := [monotonicity #12022 #12330]: #12332 -#12336 := [monotonicity #12022 #12333]: #12335 -#12339 := [monotonicity #12022 #12336]: #12338 -#12625 := [monotonicity #12339 #12622]: #12624 -#12631 := [trans #12625 #12629]: #12630 -#12182 := (iff #3151 true) -#12177 := (implies false #12174) -#12180 := (iff #12177 true) -#12181 := [rewrite]: #12180 -#12178 := (iff #3151 #12177) -#12111 := (iff #3121 false) -#12106 := (and #12020 false) -#12109 := (iff #12106 false) -#12110 := [rewrite]: #12109 -#12107 := (iff #3121 #12106) -#12104 := (iff #3120 false) -#12088 := (and #12020 #12073) -#12093 := (and #12020 #12088) -#12096 := (and #12020 #12093) -#12099 := (and false #12096) -#12102 := (iff #12099 false) -#12103 := [rewrite]: #12102 -#12100 := (iff #3120 #12099) -#12097 := (iff #3119 #12096) -#12094 := (iff #3118 #12093) -#12091 := (iff #3117 #12088) -#12085 := (and #12073 #12020) -#12089 := (iff #12085 #12088) -#12090 := [rewrite]: #12089 -#12086 := (iff #3117 #12085) -#12087 := [monotonicity #12077 #12084]: #12086 -#12092 := [trans #12087 #12090]: #12091 -#12095 := [monotonicity #12022 #12092]: #12094 -#12098 := [monotonicity #12022 #12095]: #12097 -#12065 := (iff #3112 false) -#12066 := [rewrite]: #12065 -#12101 := [monotonicity #12066 #12098]: #12100 -#12105 := [trans #12101 #12103]: #12104 -#12108 := [monotonicity #12022 #12105]: #12107 -#12112 := [trans #12108 #12110]: #12111 -#12179 := [monotonicity #12112 #12176]: #12178 -#12183 := [trans #12179 #12181]: #12182 -#12634 := [monotonicity #12183 #12631]: #12633 -#12638 := [trans #12634 #12636]: #12637 -#12063 := (iff #3111 #12062) -#12060 := (iff #3110 #12059) -#12057 := (iff #3109 #12056) -#12054 := (iff #3108 #12053) -#12051 := (iff #3107 #12050) -#12048 := (iff #3106 #12047) -#12045 := (iff #3105 #12044) -#12042 := (iff #3104 #12039) -#12036 := (and #12033 #12020) -#12040 := (iff #12036 #12039) -#12041 := [rewrite]: #12040 -#12037 := (iff #3104 #12036) -#12034 := (iff #3103 #12033) -#12031 := (iff #3102 #12030) -#12032 := [rewrite]: #12031 -#12035 := [monotonicity #12032]: #12034 -#12038 := [monotonicity #12035 #12022]: #12037 -#12043 := [trans #12038 #12041]: #12042 -#12028 := (iff #3098 #12027) -#12025 := (iff #3097 #12024) -#12026 := [rewrite]: #12025 -#12029 := [quant-intro #12026]: #12028 -#12046 := [monotonicity #12029 #12043]: #12045 -#12049 := [monotonicity #12046]: #12048 -#12052 := [monotonicity #12022 #12049]: #12051 -#12055 := [monotonicity #12052]: #12054 -#12058 := [monotonicity #12055]: #12057 -#12061 := [monotonicity #12058]: #12060 -#12018 := (iff #3078 #12017) -#12015 := (iff #3077 #3055) -#12016 := [rewrite]: #12015 -#12019 := [monotonicity #12016]: #12018 -#12064 := [monotonicity #12019 #12061]: #12063 -#12641 := [monotonicity #12064 #12638]: #12640 -#12647 := [trans #12641 #12645]: #12646 -#12650 := [monotonicity #12019 #12647]: #12649 -#12013 := (iff #3076 #12012) -#12010 := (iff #3075 #12009) -#12011 := [rewrite]: #12010 -#12014 := [quant-intro #12011]: #12013 -#12653 := [monotonicity #12014 #12650]: #12652 -#12659 := [trans #12653 #12657]: #12658 -#12662 := [monotonicity #12014 #12659]: #12661 -#12665 := [monotonicity #12662]: #12664 -#12671 := [trans #12665 #12669]: #12670 -#12674 := [monotonicity #12671]: #12673 -#12006 := (iff #3068 #12005) -#12003 := (iff #3067 #12002) -#12000 := (iff #3066 #11999) -#11997 := (iff #3065 #11996) -#11994 := (iff #3064 #11993) -#11991 := (iff #3063 #11990) -#11988 := (iff #3062 #11987) -#11985 := (iff #3061 #3060) -#11986 := [rewrite]: #11985 -#11989 := [monotonicity #11986]: #11988 -#11992 := [monotonicity #11989]: #11991 -#11995 := [monotonicity #11992]: #11994 -#11998 := [monotonicity #11995]: #11997 -#12001 := [monotonicity #11998]: #12000 -#12004 := [monotonicity #12001]: #12003 -#11983 := (iff #3052 #11982) -#11980 := (iff #3051 #11979) -#11981 := [rewrite]: #11980 -#11971 := (iff #3046 #11970) -#11972 := [rewrite]: #11971 -#11984 := [monotonicity #11972 #11981]: #11983 -#12007 := [monotonicity #11984 #12004]: #12006 -#12677 := [monotonicity #12007 #12674]: #12676 -#12683 := [trans #12677 #12681]: #12682 -#12686 := [monotonicity #11984 #12683]: #12685 -#11977 := (iff #3049 #11976) -#11974 := (iff #3048 #11973) -#11975 := [rewrite]: #11974 -#11978 := [monotonicity #11972 #11975]: #11977 -#12689 := [monotonicity #11978 #12686]: #12688 -#12695 := [trans #12689 #12693]: #12694 -#12698 := [monotonicity #11978 #12695]: #12697 -#11968 := (iff #3043 #11967) -#11969 := [rewrite]: #11968 -#12701 := [monotonicity #11969 #12698]: #12700 -#12707 := [trans #12701 #12705]: #12706 -#12710 := [monotonicity #11969 #12707]: #12709 -#11965 := (iff #3041 #11964) -#11962 := (iff #3040 #11961) -#11959 := (iff #3039 #11958) -#11956 := (iff #3038 #11955) -#11953 := (iff #3037 #11952) -#11950 := (iff #3036 #11949) -#11947 := (iff #3035 #11946) -#11944 := (iff #3034 #11943) -#11941 := (iff #3033 #11940) -#11938 := (iff #3032 #11937) -#11935 := (iff #3031 #11934) -#11932 := (iff #3030 #11931) -#11929 := (iff #3029 #11926) -#11923 := (and #11920 #3028) -#11927 := (iff #11923 #11926) -#11928 := [rewrite]: #11927 -#11924 := (iff #3029 #11923) -#11921 := (iff #3025 #11920) -#11918 := (iff #3024 #11915) -#11912 := (iff #11909 false) -#11916 := (iff #11912 #11915) -#11917 := [rewrite]: #11916 -#11913 := (iff #3024 #11912) -#11910 := (iff #3023 #11909) -#11911 := [rewrite]: #11910 -#11914 := [monotonicity #11911]: #11913 -#11919 := [trans #11914 #11917]: #11918 -#11922 := [quant-intro #11919]: #11921 -#11925 := [monotonicity #11922]: #11924 -#11930 := [trans #11925 #11928]: #11929 -#11933 := [monotonicity #11930]: #11932 -#11936 := [monotonicity #11933]: #11935 -#11939 := [monotonicity #11936]: #11938 -#11942 := [monotonicity #11939]: #11941 -#11907 := (iff #3006 #11906) -#11901 := (iff #3003 #11900) -#11902 := [rewrite]: #11901 -#11908 := [monotonicity #11902 #11905]: #11907 -#11945 := [monotonicity #11908 #11942]: #11944 -#11898 := (iff #3001 #11897) -#11899 := [rewrite]: #11898 -#11948 := [monotonicity #11899 #11945]: #11947 -#11895 := (iff #2999 #11894) -#11892 := (iff #2998 #11891) -#11889 := (iff #2997 #11888) -#11886 := (iff #2996 #11885) -#11883 := (iff #2995 #11882) -#11880 := (iff #2994 #11879) -#11881 := [rewrite]: #11880 -#11877 := (iff #2992 #11876) -#11874 := (iff #2991 #11873) -#11875 := [rewrite]: #11874 -#11878 := [monotonicity #11875]: #11877 -#11884 := [monotonicity #11878 #11881]: #11883 -#11871 := (iff #2989 #11870) -#11872 := [rewrite]: #11871 -#11887 := [monotonicity #11872 #11884]: #11886 -#11868 := (iff #2987 #11867) -#11869 := [rewrite]: #11868 -#11890 := [monotonicity #11869 #11887]: #11889 -#11865 := (iff #2985 #11864) -#11866 := [rewrite]: #11865 -#11893 := [monotonicity #11866 #11890]: #11892 -#11862 := (iff #2983 #11860) -#11863 := [rewrite]: #11862 -#11896 := [monotonicity #11863 #11893]: #11895 -#11951 := [monotonicity #11896 #11948]: #11950 -#11954 := [monotonicity #11951]: #11953 +#12279 := [monotonicity #12196 #12277]: #12278 +#12281 := [trans #12279 #12267]: #12280 +#12794 := [monotonicity #12281 #12791]: #12793 +#12799 := [trans #12794 #12797]: #12798 +#12802 := [monotonicity #11973 #12799]: #12801 +#12807 := [trans #12802 #12805]: #12806 +#12810 := [monotonicity #11973 #12807]: #12809 +#12815 := [trans #12810 #12813]: #12814 +#12818 := [monotonicity #11973 #12815]: #12817 +#12823 := [trans #12818 #12821]: #12822 +#12175 := (iff #3126 true) +#12170 := (implies #11971 true) +#12173 := (iff #12170 true) +#12174 := [rewrite]: #12173 +#12171 := (iff #3126 #12170) +#12168 := (iff #3125 true) +#12142 := (or #12141 #12133) +#12150 := (or #12088 #12142) +#12158 := (or #12088 #12150) +#12163 := (implies false #12158) +#12166 := (iff #12163 true) +#12167 := [rewrite]: #12166 +#12164 := (iff #3125 #12163) +#12161 := (iff #3124 #12158) +#12155 := (implies #11971 #12150) +#12159 := (iff #12155 #12158) +#12160 := [rewrite]: #12159 +#12156 := (iff #3124 #12155) +#12153 := (iff #3123 #12150) +#12147 := (implies #11971 #12142) +#12151 := (iff #12147 #12150) +#12152 := [rewrite]: #12151 +#12148 := (iff #3123 #12147) +#12145 := (iff #3122 #12142) +#12138 := (implies #12003 #12133) +#12143 := (iff #12138 #12142) +#12144 := [rewrite]: #12143 +#12139 := (iff #3122 #12138) +#12140 := [monotonicity #12007 #12137]: #12139 +#12146 := [trans #12140 #12144]: #12145 +#12149 := [monotonicity #11973 #12146]: #12148 +#12154 := [trans #12149 #12152]: #12153 +#12157 := [monotonicity #11973 #12154]: #12156 +#12162 := [trans #12157 #12160]: #12161 +#12165 := [monotonicity #11996 #12162]: #12164 +#12169 := [trans #12165 #12167]: #12168 +#12172 := [monotonicity #11973 #12169]: #12171 +#12176 := [trans #12172 #12174]: #12175 +#12826 := [monotonicity #12176 #12823]: #12825 +#12830 := [trans #12826 #12828]: #12829 +#12833 := [monotonicity #11973 #12830]: #12832 +#12838 := [trans #12833 #12836]: #12837 +#11993 := (iff #3085 #11992) +#11990 := (iff #3084 #11989) +#11991 := [rewrite]: #11990 +#11994 := [monotonicity #11991]: #11993 +#12841 := [monotonicity #11994 #12838]: #12840 +#12847 := [trans #12841 #12845]: #12846 +#11987 := (iff #3080 #11986) +#11984 := (iff #3079 #11981) +#11978 := (implies #412 #11975) +#11982 := (iff #11978 #11981) +#11983 := [rewrite]: #11982 +#11979 := (iff #3079 #11978) +#11976 := (iff #3078 #11975) +#11977 := [rewrite]: #11976 +#11980 := [monotonicity #11977]: #11979 +#11985 := [trans #11980 #11983]: #11984 +#11988 := [quant-intro #11985]: #11987 +#12850 := [monotonicity #11988 #12847]: #12849 +#12856 := [trans #12850 #12854]: #12855 +#12859 := [monotonicity #12856]: #12858 +#12865 := [trans #12859 #12863]: #12864 +#12868 := [monotonicity #11973 #12865]: #12867 +#12873 := [trans #12868 #12871]: #12872 +#12876 := [monotonicity #12873]: #12875 +#12882 := [trans #12876 #12880]: #12881 +#12885 := [monotonicity #12882]: #12884 +#12891 := [trans #12885 #12889]: #12890 +#12894 := [monotonicity #12891]: #12893 +#12900 := [trans #12894 #12898]: #12899 +#11969 := (iff #3060 #11968) +#11966 := (iff #3059 #3042) +#11967 := [rewrite]: #11966 +#11970 := [monotonicity #11967]: #11969 +#12903 := [monotonicity #11970 #12900]: #12902 +#12909 := [trans #12903 #12907]: #12908 +#12912 := [monotonicity #11970 #12909]: #12911 +#11964 := (iff #3058 #11963) +#11961 := (iff #3057 #11958) +#11955 := (implies #412 #11952) +#11959 := (iff #11955 #11958) +#11960 := [rewrite]: #11959 +#11956 := (iff #3057 #11955) +#11953 := (iff #3056 #11952) +#11954 := [rewrite]: #11953 #11957 := [monotonicity #11954]: #11956 -#11960 := [monotonicity #11957]: #11959 -#11963 := [monotonicity #11960]: #11962 -#11966 := [monotonicity #11963]: #11965 -#12713 := [monotonicity #11966 #12710]: #12712 -#12719 := [trans #12713 #12717]: #12718 -#12722 := [monotonicity #12719]: #12721 -#13522 := [trans #12722 #13520]: #13521 -#11859 := [asserted]: #3325 -#13523 := [mp #11859 #13522]: #13518 -#13524 := [not-or-elim #13523]: #12823 -#13531 := [and-elim #13524]: #11867 -#11145 := (not #11138) +#11962 := [trans #11957 #11960]: #11961 +#11965 := [quant-intro #11962]: #11964 +#12915 := [monotonicity #11965 #12912]: #12914 +#12921 := [trans #12915 #12919]: #12920 +#12924 := [monotonicity #11965 #12921]: #12923 +#12927 := [monotonicity #12924]: #12926 +#12933 := [trans #12927 #12931]: #12932 +#12936 := [monotonicity #12933]: #12935 +#11949 := (iff #3050 #11948) +#11946 := (iff #3049 #11945) +#11943 := (iff #3048 #3047) +#11944 := [rewrite]: #11943 +#11947 := [monotonicity #11944]: #11946 +#11950 := [monotonicity #11947]: #11949 +#12939 := [monotonicity #11950 #12936]: #12938 +#12945 := [trans #12939 #12943]: #12944 +#12948 := [monotonicity #12945]: #12947 +#12954 := [trans #12948 #12952]: #12953 +#12957 := [monotonicity #12954]: #12956 +#12963 := [trans #12957 #12961]: #12962 +#12966 := [monotonicity #12963]: #12965 +#12972 := [trans #12966 #12970]: #12971 +#12975 := [monotonicity #12972]: #12974 +#12981 := [trans #12975 #12979]: #12980 +#11941 := (iff #3039 #11940) +#11938 := (iff #3038 #11937) +#11939 := [rewrite]: #11938 +#11929 := (iff #3033 #11928) +#11930 := [rewrite]: #11929 +#11942 := [monotonicity #11930 #11939]: #11941 +#12984 := [monotonicity #11942 #12981]: #12983 +#12990 := [trans #12984 #12988]: #12989 +#12993 := [monotonicity #11942 #12990]: #12992 +#11935 := (iff #3036 #11934) +#11932 := (iff #3035 #11931) +#11933 := [rewrite]: #11932 +#11936 := [monotonicity #11930 #11933]: #11935 +#12996 := [monotonicity #11936 #12993]: #12995 +#13002 := [trans #12996 #13000]: #13001 +#13005 := [monotonicity #11936 #13002]: #13004 +#11926 := (iff #3030 #11925) +#11927 := [rewrite]: #11926 +#13008 := [monotonicity #11927 #13005]: #13007 +#13014 := [trans #13008 #13012]: #13013 +#13017 := [monotonicity #11927 #13014]: #13016 +#13020 := [monotonicity #13017]: #13019 +#13026 := [trans #13020 #13024]: #13025 +#11923 := (iff #3025 #11922) +#11920 := (iff #3024 #11917) +#11914 := (iff #11911 false) +#11918 := (iff #11914 #11917) +#11919 := [rewrite]: #11918 +#11915 := (iff #3024 #11914) +#11912 := (iff #3023 #11911) +#11913 := [rewrite]: #11912 +#11916 := [monotonicity #11913]: #11915 +#11921 := [trans #11916 #11919]: #11920 +#11924 := [quant-intro #11921]: #11923 +#13029 := [monotonicity #11924 #13026]: #13028 +#13035 := [trans #13029 #13033]: #13034 +#13038 := [monotonicity #13035]: #13037 +#13044 := [trans #13038 #13042]: #13043 +#13047 := [monotonicity #13044]: #13046 +#13053 := [trans #13047 #13051]: #13052 +#13056 := [monotonicity #13053]: #13055 +#13062 := [trans #13056 #13060]: #13061 +#13065 := [monotonicity #13062]: #13064 +#13071 := [trans #13065 #13069]: #13070 +#11909 := (iff #3006 #11908) +#11903 := (iff #3003 #11902) +#11904 := [rewrite]: #11903 +#11910 := [monotonicity #11904 #11907]: #11909 +#13074 := [monotonicity #11910 #13071]: #13073 +#13080 := [trans #13074 #13078]: #13079 +#11900 := (iff #3001 #11899) +#11901 := [rewrite]: #11900 +#13083 := [monotonicity #11901 #13080]: #13082 +#13089 := [trans #13083 #13087]: #13088 +#11897 := (iff #2999 #11896) +#11894 := (iff #2998 #11893) +#11891 := (iff #2997 #11890) +#11888 := (iff #2996 #11887) +#11885 := (iff #2995 #11884) +#11882 := (iff #2994 #11881) +#11883 := [rewrite]: #11882 +#11879 := (iff #2992 #11878) +#11876 := (iff #2991 #11875) +#11877 := [rewrite]: #11876 +#11880 := [monotonicity #11877]: #11879 +#11886 := [monotonicity #11880 #11883]: #11885 +#11873 := (iff #2989 #11872) +#11874 := [rewrite]: #11873 +#11889 := [monotonicity #11874 #11886]: #11888 +#11870 := (iff #2987 #11869) +#11871 := [rewrite]: #11870 +#11892 := [monotonicity #11871 #11889]: #11891 +#11867 := (iff #2985 #11866) +#11868 := [rewrite]: #11867 +#11895 := [monotonicity #11868 #11892]: #11894 +#11864 := (iff #2983 #11862) +#11865 := [rewrite]: #11864 +#11898 := [monotonicity #11865 #11895]: #11897 +#13092 := [monotonicity #11898 #13089]: #13091 +#13098 := [trans #13092 #13096]: #13097 +#13101 := [monotonicity #13098]: #13100 +#13107 := [trans #13101 #13105]: #13106 +#13110 := [monotonicity #13107]: #13109 +#13116 := [trans #13110 #13114]: #13115 +#13119 := [monotonicity #13116]: #13118 +#13125 := [trans #13119 #13123]: #13124 +#13128 := [monotonicity #13125]: #13127 +#13134 := [trans #13128 #13132]: #13133 +#13137 := [monotonicity #13134]: #13136 +#13143 := [trans #13137 #13141]: #13142 +#13146 := [monotonicity #13143]: #13145 +#14054 := [trans #13146 #14052]: #14053 +#11861 := [asserted]: #3327 +#14055 := [mp #11861 #14054]: #14050 +#14073 := [not-or-elim #14055]: #13937 +#14076 := [and-elim #14073]: #11869 +#233 := (:var 0 T3) +#2666 := (uf_48 #15 #233) +#2667 := (pattern #2666) +#11140 := (= uf_9 #2666) +#11147 := (not #11140) #1259 := (uf_116 #15) #2669 := (uf_43 #233 #1259) #2670 := (= #15 #2669) -#11146 := (or #2670 #11145) -#11151 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #11146) -#17463 := (~ #11151 #11151) -#17461 := (~ #11146 #11146) -#17462 := [refl]: #17461 -#17464 := [nnf-pos #17462]: #17463 +#11148 := (or #2670 #11147) +#11153 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #11148) +#17964 := (~ #11153 #11153) +#17962 := (~ #11148 #11148) +#17963 := [refl]: #17962 +#17965 := [nnf-pos #17963]: #17964 +#2668 := (= #2666 uf_9) #2671 := (implies #2668 #2670) #2672 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #2671) -#11152 := (iff #2672 #11151) -#11149 := (iff #2671 #11146) -#11142 := (implies #11138 #2670) -#11147 := (iff #11142 #11146) -#11148 := [rewrite]: #11147 -#11143 := (iff #2671 #11142) -#11144 := [monotonicity #11141]: #11143 -#11150 := [trans #11144 #11148]: #11149 -#11153 := [quant-intro #11150]: #11152 -#11137 := [asserted]: #2672 -#11156 := [mp #11137 #11153]: #11151 -#17465 := [mp~ #11156 #17464]: #11151 -#25398 := (not #11867) -#25411 := (not #11151) -#25412 := (or #25411 #25398 #25406) -#25407 := (or #25406 #25398) -#25413 := (or #25411 #25407) -#25420 := (iff #25413 #25412) -#25408 := (or #25398 #25406) -#25415 := (or #25411 #25408) -#25418 := (iff #25415 #25412) -#25419 := [rewrite]: #25418 -#25416 := (iff #25413 #25415) -#25409 := (iff #25407 #25408) -#25410 := [rewrite]: #25409 -#25417 := [monotonicity #25410]: #25416 -#25421 := [trans #25417 #25419]: #25420 -#25414 := [quant-inst]: #25413 -#25422 := [mp #25414 #25421]: #25412 -#27875 := [unit-resolution #25422 #17465 #13531]: #25406 -#27877 := [symm #27875]: #27876 -#26168 := [monotonicity #27877]: #26162 -#26170 := [trans #26168 #27921]: #26169 -#26172 := [monotonicity #26170]: #26171 -#26174 := [monotonicity #26172]: #26195 -#26177 := [symm #26174]: #26176 -#26161 := [monotonicity #26177]: #26179 -#13533 := [and-elim #13524]: #11876 -#26175 := [mp #13533 #26161]: #26178 +#11154 := (iff #2672 #11153) +#11151 := (iff #2671 #11148) +#11144 := (implies #11140 #2670) +#11149 := (iff #11144 #11148) +#11150 := [rewrite]: #11149 +#11145 := (iff #2671 #11144) +#11142 := (iff #2668 #11140) +#11143 := [rewrite]: #11142 +#11146 := [monotonicity #11143]: #11145 +#11152 := [trans #11146 #11150]: #11151 +#11155 := [quant-intro #11152]: #11154 +#11139 := [asserted]: #2672 +#11158 := [mp #11139 #11155]: #11153 +#17966 := [mp~ #11158 #17965]: #11153 +#25932 := (not #11869) +#25945 := (not #11153) +#25946 := (or #25945 #25932 #25940) +#25941 := (or #25940 #25932) +#25947 := (or #25945 #25941) +#25954 := (iff #25947 #25946) +#25942 := (or #25932 #25940) +#25949 := (or #25945 #25942) +#25952 := (iff #25949 #25946) +#25953 := [rewrite]: #25952 +#25950 := (iff #25947 #25949) +#25943 := (iff #25941 #25942) +#25944 := [rewrite]: #25943 +#25951 := [monotonicity #25944]: #25950 +#25955 := [trans #25951 #25953]: #25954 +#25948 := [quant-inst]: #25947 +#25956 := [mp #25948 #25955]: #25946 +#28304 := [unit-resolution #25956 #17966 #14076]: #25940 +#26515 := [monotonicity #28304 #28304]: #26728 +#26577 := [symm #26515]: #26725 +#26481 := (= uf_9 #26480) decl uf_196 :: (-> T4 T5 T5 T2) -#25944 := (uf_196 uf_287 #25399 #25399) -#25945 := (= uf_9 #25944) -#25966 := (not #25945) -#25946 := (uf_200 uf_287 #25399 #25399 uf_282) -#25947 := (= uf_9 #25946) -#25949 := (iff #25945 #25947) +#26478 := (uf_196 uf_287 #25933 #25933) +#26479 := (= uf_9 #26478) +#26483 := (iff #26479 #26481) #2245 := (:var 0 T16) +#21 := (:var 2 T5) #13 := (:var 3 T4) #2256 := (uf_200 #13 #21 #15 #2245) #2257 := (pattern #2256) #2259 := (uf_196 #13 #21 #15) -#10101 := (= uf_9 #2259) -#10097 := (= uf_9 #2256) -#10104 := (iff #10097 #10101) -#10107 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #10104) -#17105 := (~ #10107 #10107) -#17103 := (~ #10104 #10104) -#17104 := [refl]: #17103 -#17106 := [nnf-pos #17104]: #17105 +#10103 := (= uf_9 #2259) +#10099 := (= uf_9 #2256) +#10106 := (iff #10099 #10103) +#10109 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #10106) +#17606 := (~ #10109 #10109) +#17604 := (~ #10106 #10106) +#17605 := [refl]: #17604 +#17607 := [nnf-pos #17605]: #17606 #2260 := (= #2259 uf_9) #2258 := (= #2256 uf_9) #2261 := (iff #2258 #2260) #2262 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #2261) -#10108 := (iff #2262 #10107) -#10105 := (iff #2261 #10104) -#10102 := (iff #2260 #10101) -#10103 := [rewrite]: #10102 -#10099 := (iff #2258 #10097) -#10100 := [rewrite]: #10099 -#10106 := [monotonicity #10100 #10103]: #10105 -#10109 := [quant-intro #10106]: #10108 -#10096 := [asserted]: #2262 -#10112 := [mp #10096 #10109]: #10107 -#17107 := [mp~ #10112 #17106]: #10107 -#25955 := (not #10107) -#25953 := (or #25955 #25949) -#25948 := (iff #25947 #25945) -#25956 := (or #25955 #25948) -#25958 := (iff #25956 #25953) -#25960 := (iff #25953 #25953) -#25961 := [rewrite]: #25960 -#25950 := (iff #25948 #25949) -#25951 := [rewrite]: #25950 -#25959 := [monotonicity #25951]: #25958 -#25978 := [trans #25959 #25961]: #25958 -#25957 := [quant-inst]: #25956 -#25964 := [mp #25957 #25978]: #25953 -#26163 := [unit-resolution #25964 #17107]: #25949 -#25963 := (not #25947) -#26189 := (iff #12702 #25963) -#26188 := (iff #11967 #25947) -#26167 := (iff #25947 #11967) -#26165 := (= #25946 #3042) -#26166 := [monotonicity #27877 #27877]: #26165 -#26187 := [monotonicity #26166]: #26167 -#26186 := [symm #26187]: #26188 -#26190 := [monotonicity #26186]: #26189 -#26164 := [hypothesis]: #12702 -#26191 := [mp #26164 #26190]: #25963 -#25967 := (not #25949) -#25969 := (or #25967 #25966 #25947) -#25970 := [def-axiom]: #25969 -#26192 := [unit-resolution #25970 #26191 #26163]: #25966 -#26048 := (uf_24 uf_287 #25399) -#26049 := (= uf_9 #26048) -#26196 := (= #2988 #26048) -#26193 := (= #26048 #2988) -#26194 := [monotonicity #27877]: #26193 -#26198 := [symm #26194]: #26196 -#13532 := [and-elim #13524]: #11870 -#26199 := [trans #13532 #26198]: #26049 -#26051 := (uf_48 #25399 #25810) -#26052 := (= uf_9 #26051) -#26202 := (= #2986 #26051) -#26197 := (= #26051 #2986) -#26200 := [monotonicity #27877 #26170]: #26197 -#26203 := [symm #26200]: #26202 -#26204 := [trans #13531 #26203]: #26052 -#26053 := (not #26052) -#26050 := (not #26049) -#26225 := (or #25945 #26050 #26053 #26059) -#25822 := (uf_25 uf_287 #25399) -#26054 := (= uf_26 #25822) -#26213 := (= #2984 #25822) -#26185 := (= #25822 #2984) -#26211 := [monotonicity #27877]: #26185 -#26212 := [symm #26211]: #26213 -#13530 := [and-elim #13524]: #11864 -#26214 := [trans #13530 #26212]: #26054 -#25848 := (uf_27 uf_287 #25399) -#25849 := (= uf_9 #25848) -#26218 := (= #2982 #25848) -#26215 := (= #25848 #2982) -#26216 := [monotonicity #27877]: #26215 -#26224 := [symm #26216]: #26218 -#13529 := [and-elim #13524]: #11860 -#26246 := [trans #13529 #26224]: #25849 -#25811 := (uf_23 #25810) -#25818 := (= uf_9 #25811) -#26250 := (= #2993 #25811) -#26247 := (= #25811 #2993) -#26248 := [monotonicity #26170]: #26247 -#26251 := [symm #26248]: #26250 -#13534 := [and-elim #13524]: #11879 -#26252 := [trans #13534 #26251]: #25818 -#13537 := [and-elim #13524]: #11903 -#47 := (:var 1 T4) +#10110 := (iff #2262 #10109) +#10107 := (iff #2261 #10106) +#10104 := (iff #2260 #10103) +#10105 := [rewrite]: #10104 +#10101 := (iff #2258 #10099) +#10102 := [rewrite]: #10101 +#10108 := [monotonicity #10102 #10105]: #10107 +#10111 := [quant-intro #10108]: #10110 +#10098 := [asserted]: #2262 +#10114 := [mp #10098 #10111]: #10109 +#17608 := [mp~ #10114 #17607]: #10109 +#26501 := (not #10109) +#26502 := (or #26501 #26483) +#26482 := (iff #26481 #26479) +#26499 := (or #26501 #26482) +#26504 := (iff #26499 #26502) +#26506 := (iff #26502 #26502) +#26486 := [rewrite]: #26506 +#26484 := (iff #26482 #26483) +#26485 := [rewrite]: #26484 +#26505 := [monotonicity #26485]: #26504 +#26488 := [trans #26505 #26486]: #26504 +#26503 := [quant-inst]: #26499 +#26489 := [mp #26503 #26488]: #26502 +#26699 := [unit-resolution #26489 #17608]: #26483 +#26490 := (not #26483) +#26518 := (or #26490 #26481) +#26344 := (uf_13 #25933) +#26590 := (uf_12 #26344) +#26593 := (= uf_14 #26590) +#26712 := (not #26593) +#26713 := (iff #11878 #26712) +#26710 := (iff #11875 #26593) +#26729 := (iff #26593 #11875) +#26705 := (= #26590 #2990) +#26703 := (= #26344 #2977) +#24763 := (uf_13 #2981) +#28352 := (= #24763 #2977) +#24766 := (= #2977 #24763) +#2697 := (uf_43 #326 #161) +#22937 := (pattern #2697) +#2701 := (uf_13 #2697) +#11218 := (= #326 #2701) +#22944 := (forall (vars (?x720 T3) (?x721 int)) (:pat #22937) #11218) +#11222 := (forall (vars (?x720 T3) (?x721 int)) #11218) +#22947 := (iff #11222 #22944) +#22945 := (iff #11218 #11218) +#22946 := [refl]: #22945 +#22948 := [quant-intro #22946]: #22947 +#17989 := (~ #11222 #11222) +#17987 := (~ #11218 #11218) +#17988 := [refl]: #17987 +#17990 := [nnf-pos #17988]: #17989 +#2702 := (= #2701 #326) +#2703 := (forall (vars (?x720 T3) (?x721 int)) #2702) +#11223 := (iff #2703 #11222) +#11220 := (iff #2702 #11218) +#11221 := [rewrite]: #11220 +#11224 := [quant-intro #11221]: #11223 +#11217 := [asserted]: #2703 +#11227 := [mp #11217 #11224]: #11222 +#17991 := [mp~ #11227 #17990]: #11222 +#22949 := [mp #17991 #22948]: #22944 +#24710 := (not #22944) +#24771 := (or #24710 #24766) +#24772 := [quant-inst]: #24771 +#28286 := [unit-resolution #24772 #22949]: #24766 +#28353 := [symm #28286]: #28352 +#26696 := (= #26344 #24763) +#28305 := (= #25933 #2981) +#28306 := [symm #28304]: #28305 +#26702 := [monotonicity #28306]: #26696 +#26704 := [trans #26702 #28353]: #26703 +#26706 := [monotonicity #26704]: #26705 +#26708 := [monotonicity #26706]: #26729 +#26711 := [symm #26708]: #26710 +#26727 := [monotonicity #26711]: #26713 +#14078 := [and-elim #14073]: #11878 +#26737 := [mp #14078 #26727]: #26712 +#26582 := (uf_24 uf_287 #25933) +#26583 := (= uf_9 #26582) +#26744 := (= #2988 #26582) +#26738 := (= #26582 #2988) +#26719 := [monotonicity #28306]: #26738 +#26747 := [symm #26719]: #26744 +#14077 := [and-elim #14073]: #11872 +#26746 := [trans #14077 #26747]: #26583 +#26585 := (uf_48 #25933 #26344) +#26586 := (= uf_9 #26585) +#26751 := (= #2986 #26585) +#26748 := (= #26585 #2986) +#26749 := [monotonicity #28306 #26704]: #26748 +#26752 := [symm #26749]: #26751 +#26758 := [trans #14076 #26752]: #26586 +#26587 := (not #26586) +#26584 := (not #26583) +#26819 := (or #26584 #26587 #26593) +#26356 := (uf_25 uf_287 #25933) +#26588 := (= uf_26 #26356) +#26784 := (= #2984 #26356) +#26780 := (= #26356 #2984) +#26781 := [monotonicity #28306]: #26780 +#26785 := [symm #26781]: #26784 +#14075 := [and-elim #14073]: #11866 +#26779 := [trans #14075 #26785]: #26588 +#26500 := (not #26479) +#26786 := [hypothesis]: #26500 +#26382 := (uf_27 uf_287 #25933) +#26383 := (= uf_9 #26382) +#26789 := (= #2982 #26382) +#26759 := (= #26382 #2982) +#26787 := [monotonicity #28306]: #26759 +#26810 := [symm #26787]: #26789 +#14074 := [and-elim #14073]: #11862 +#26811 := [trans #14074 #26810]: #26383 +#26345 := (uf_23 #26344) +#26352 := (= uf_9 #26345) +#26835 := (= #2993 #26345) +#26812 := (= #26345 #2993) +#26813 := [monotonicity #26704]: #26812 +#26800 := [symm #26813]: #26835 +#14079 := [and-elim #14073]: #11881 +#26836 := [trans #14079 #26800]: #26352 +#14062 := [not-or-elim #14055]: #11908 +#14064 := [and-elim #14062]: #11905 #2217 := (uf_196 #47 #23 #23) #2218 := (pattern #2217) -#9982 := (= uf_9 #2217) +#9984 := (= uf_9 #2217) #227 := (uf_55 #47) -#3897 := (= uf_9 #227) -#18563 := (not #3897) -#146 := (uf_24 #47 #23) -#3621 := (= uf_9 #146) -#11066 := (not #3621) -#26 := (uf_13 #23) +#3899 := (= uf_9 #227) +#19163 := (not #3899) #144 := (uf_48 #23 #26) -#3618 := (= uf_9 #144) -#18438 := (not #3618) -#142 := (uf_25 #47 #23) -#3615 := (= uf_26 #142) -#18437 := (not #3615) +#3620 := (= uf_9 #144) +#19038 := (not #3620) +#19037 := (not #3617) #135 := (uf_27 #47 #23) -#3600 := (= uf_9 #135) -#10691 := (not #3600) +#3602 := (= uf_9 #135) +#10693 := (not #3602) #71 := (uf_23 #26) -#3453 := (= uf_9 #71) -#10746 := (not #3453) -#27 := (uf_12 #26) -#29 := (= #27 uf_14) -#20996 := (or #29 #10746 #10691 #18437 #18438 #11066 #18563 #9982) -#21001 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #20996) -#52 := (not #29) -#9997 := (and #52 #3453 #3600 #3615 #3618 #3621 #3897) -#10000 := (not #9997) -#10006 := (or #9982 #10000) -#10011 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10006) -#21002 := (iff #10011 #21001) -#20999 := (iff #10006 #20996) -#20982 := (or #29 #10746 #10691 #18437 #18438 #11066 #18563) -#20993 := (or #9982 #20982) -#20997 := (iff #20993 #20996) -#20998 := [rewrite]: #20997 -#20994 := (iff #10006 #20993) -#20991 := (iff #10000 #20982) -#20983 := (not #20982) -#20986 := (not #20983) -#20989 := (iff #20986 #20982) -#20990 := [rewrite]: #20989 -#20987 := (iff #10000 #20986) -#20984 := (iff #9997 #20983) -#20985 := [rewrite]: #20984 -#20988 := [monotonicity #20985]: #20987 -#20992 := [trans #20988 #20990]: #20991 -#20995 := [monotonicity #20992]: #20994 -#21000 := [trans #20995 #20998]: #20999 -#21003 := [quant-intro #21000]: #21002 -#17073 := (~ #10011 #10011) -#17071 := (~ #10006 #10006) -#17072 := [refl]: #17071 -#17074 := [nnf-pos #17072]: #17073 +#3455 := (= uf_9 #71) +#10748 := (not #3455) +#21596 := (or #29 #10748 #10693 #19037 #19038 #11068 #19163 #9984) +#21601 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #21596) +#9999 := (and #52 #3455 #3602 #3617 #3620 #3623 #3899) +#10002 := (not #9999) +#10008 := (or #9984 #10002) +#10013 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10008) +#21602 := (iff #10013 #21601) +#21599 := (iff #10008 #21596) +#21582 := (or #29 #10748 #10693 #19037 #19038 #11068 #19163) +#21593 := (or #9984 #21582) +#21597 := (iff #21593 #21596) +#21598 := [rewrite]: #21597 +#21594 := (iff #10008 #21593) +#21591 := (iff #10002 #21582) +#21583 := (not #21582) +#21586 := (not #21583) +#21589 := (iff #21586 #21582) +#21590 := [rewrite]: #21589 +#21587 := (iff #10002 #21586) +#21584 := (iff #9999 #21583) +#21585 := [rewrite]: #21584 +#21588 := [monotonicity #21585]: #21587 +#21592 := [trans #21588 #21590]: #21591 +#21595 := [monotonicity #21592]: #21594 +#21600 := [trans #21595 #21598]: #21599 +#21603 := [quant-intro #21600]: #21602 +#17574 := (~ #10013 #10013) +#17572 := (~ #10008 #10008) +#17573 := [refl]: #17572 +#17575 := [nnf-pos #17573]: #17574 #2225 := (= #2217 uf_9) #72 := (= #71 uf_9) #2219 := (and #52 #72) -#147 := (= #146 uf_9) #2220 := (and #147 #2219) #145 := (= #144 uf_9) #2221 := (and #145 #2220) -#143 := (= #142 uf_26) #2222 := (and #143 #2221) #136 := (= #135 uf_9) #2223 := (and #136 #2222) @@ -3047,1764 +3526,1771 @@ #2224 := (and #229 #2223) #2226 := (implies #2224 #2225) #2227 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #2226) -#10014 := (iff #2227 #10011) -#9963 := (and #52 #3453) -#9967 := (and #3621 #9963) -#9970 := (and #3618 #9967) -#9973 := (and #3615 #9970) -#9976 := (and #3600 #9973) -#9979 := (and #3897 #9976) -#9988 := (not #9979) -#9989 := (or #9988 #9982) -#9994 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #9989) -#10012 := (iff #9994 #10011) -#10009 := (iff #9989 #10006) -#10003 := (or #10000 #9982) -#10007 := (iff #10003 #10006) -#10008 := [rewrite]: #10007 -#10004 := (iff #9989 #10003) -#10001 := (iff #9988 #10000) -#9998 := (iff #9979 #9997) -#9999 := [rewrite]: #9998 -#10002 := [monotonicity #9999]: #10001 -#10005 := [monotonicity #10002]: #10004 -#10010 := [trans #10005 #10008]: #10009 -#10013 := [quant-intro #10010]: #10012 -#9995 := (iff #2227 #9994) -#9992 := (iff #2226 #9989) -#9985 := (implies #9979 #9982) -#9990 := (iff #9985 #9989) -#9991 := [rewrite]: #9990 -#9986 := (iff #2226 #9985) -#9983 := (iff #2225 #9982) -#9984 := [rewrite]: #9983 -#9980 := (iff #2224 #9979) -#9977 := (iff #2223 #9976) -#9974 := (iff #2222 #9973) -#9971 := (iff #2221 #9970) -#9968 := (iff #2220 #9967) -#9965 := (iff #2219 #9963) -#3454 := (iff #72 #3453) -#3455 := [rewrite]: #3454 -#9966 := [monotonicity #3455]: #9965 -#3622 := (iff #147 #3621) -#3623 := [rewrite]: #3622 -#9969 := [monotonicity #3623 #9966]: #9968 -#3619 := (iff #145 #3618) -#3620 := [rewrite]: #3619 -#9972 := [monotonicity #3620 #9969]: #9971 -#3616 := (iff #143 #3615) -#3617 := [rewrite]: #3616 -#9975 := [monotonicity #3617 #9972]: #9974 -#3602 := (iff #136 #3600) -#3603 := [rewrite]: #3602 -#9978 := [monotonicity #3603 #9975]: #9977 -#3899 := (iff #229 #3897) -#3900 := [rewrite]: #3899 -#9981 := [monotonicity #3900 #9978]: #9980 -#9987 := [monotonicity #9981 #9984]: #9986 -#9993 := [trans #9987 #9991]: #9992 -#9996 := [quant-intro #9993]: #9995 -#10015 := [trans #9996 #10013]: #10014 -#9962 := [asserted]: #2227 -#10016 := [mp #9962 #10015]: #10011 -#17075 := [mp~ #10016 #17074]: #10011 -#21004 := [mp #17075 #21003]: #21001 -#26055 := (not #26054) -#25875 := (not #25849) -#25819 := (not #25818) -#23948 := (not #11903) -#26041 := (not #21001) -#26043 := (or #26041 #23948 #25819 #25875 #25945 #26050 #26053 #26055 #26059) -#26057 := (= #26056 uf_14) -#26058 := (or #26057 #25819 #25875 #26055 #26053 #26050 #23948 #25945) -#26044 := (or #26041 #26058) -#26031 := (iff #26044 #26043) -#26065 := (or #23948 #25819 #25875 #25945 #26050 #26053 #26055 #26059) -#26046 := (or #26041 #26065) -#26028 := (iff #26046 #26043) -#26030 := [rewrite]: #26028 -#26047 := (iff #26044 #26046) -#26068 := (iff #26058 #26065) -#26062 := (or #26059 #25819 #25875 #26055 #26053 #26050 #23948 #25945) -#26066 := (iff #26062 #26065) -#26067 := [rewrite]: #26066 -#26063 := (iff #26058 #26062) -#26060 := (iff #26057 #26059) -#26061 := [rewrite]: #26060 -#26064 := [monotonicity #26061]: #26063 -#26069 := [trans #26064 #26067]: #26068 -#26042 := [monotonicity #26069]: #26047 -#26032 := [trans #26042 #26030]: #26031 -#26045 := [quant-inst]: #26044 -#26033 := [mp #26045 #26032]: #26043 -#26253 := [unit-resolution #26033 #21004 #13537 #26252 #26246 #26214]: #26225 -#26254 := [unit-resolution #26253 #26204 #26199 #26192 #26175]: false -#26255 := [lemma #26254]: #11967 -#22707 := (or #12702 #22704) -#21694 := (forall (vars (?x778 int)) #21683) -#21701 := (not #21694) -#21679 := (forall (vars (?x776 int)) #21674) -#21700 := (not #21679) -#21702 := (or #21700 #21701) -#21703 := (not #21702) -#21732 := (or #21703 #21729) -#21742 := (not #21732) -#21743 := (or #21738 #21739 #21740 #21741 #21602 #21575 #12968 #21742) -#21744 := (not #21743) -#21497 := (forall (vars (?x785 int)) #21492) -#21503 := (not #21497) -#21504 := (or #21468 #21503) -#21505 := (not #21504) -#21534 := (or #21505 #21531) -#21540 := (not #21534) -#21541 := (or #13093 #21540) -#21542 := (not #21541) -#21547 := (or #13093 #21542) -#21557 := (not #21547) -#21558 := (or #21553 #21554 #17742 #21555 #21556 #17745 #21557) -#21559 := (not #21558) -#21564 := (or #17742 #17745 #21559) -#21576 := (not #21564) -#21615 := (or #21613 #21614 #21602 #21575 #12996 #21554 #21576) -#21616 := (not #21615) -#21577 := (or #21570 #21571 #17721 #17730 #21572 #21573 #21574 #21575 #21554 #21576) -#21578 := (not #21577) -#21583 := (or #17721 #17730 #21578) -#21589 := (not #21583) -#21590 := (or #17721 #17724 #21589) -#21591 := (not #21590) -#21596 := (or #17721 #17724 #21591) -#21603 := (not #21596) -#21604 := (or #21602 #21575 #12997 #21603) -#21605 := (not #21604) -#21621 := (or #21605 #21616) -#21627 := (not #21621) -#21628 := (or #17721 #17730 #21602 #21575 #21627) -#21629 := (not #21628) -#21634 := (or #17721 #17730 #21629) -#21640 := (not #21634) -#21641 := (or #17721 #17724 #21640) -#21642 := (not #21641) -#21647 := (or #17721 #17724 #21642) -#21653 := (not #21647) -#21654 := (or #21602 #21575 #12967 #21653) -#21655 := (not #21654) -#21749 := (or #21655 #21744) -#21771 := (not #21749) -#21463 := (forall (vars (?x775 int)) #21458) -#21767 := (not #21463) -#21772 := (or #17676 #21755 #21756 #21757 #21758 #21759 #21760 #21761 #21762 #21763 #12740 #21602 #21575 #13358 #21764 #21765 #21766 #21768 #21769 #21770 #21767 #21771) -#21773 := (not #21772) -#21778 := (or #17676 #12740 #21773) -#21785 := (not #21778) -#21441 := (forall (vars (?x773 int)) #21436) -#21784 := (not #21441) -#21786 := (or #21784 #21785) -#21787 := (not #21786) -#21792 := (or #21419 #21787) -#21798 := (not #21792) -#21799 := (or #12866 #21798) -#21800 := (not #21799) -#21805 := (or #12866 #21800) -#21814 := (not #21805) -#21815 := (or #17676 #21811 #21812 #21813 #17631 #17640 #21814) -#21816 := (not #21815) -#21821 := (or #17631 #17640 #21816) -#21827 := (not #21821) -#21828 := (or #17631 #17634 #21827) -#21829 := (not #21828) -#21834 := (or #17631 #17634 #21829) -#21840 := (not #21834) -#21841 := (or #12702 #21840) -#21842 := (not #21841) -#21847 := (or #12702 #21842) -#22708 := (iff #21847 #22707) -#22705 := (iff #21842 #22704) -#22702 := (iff #21841 #22701) -#22699 := (iff #21840 #22698) -#22696 := (iff #21834 #22695) -#22693 := (iff #21829 #22692) -#22690 := (iff #21828 #22689) -#22687 := (iff #21827 #22686) -#22684 := (iff #21821 #22683) -#22681 := (iff #21816 #22680) -#22678 := (iff #21815 #22677) -#22675 := (iff #21814 #22674) -#22672 := (iff #21805 #22671) -#22669 := (iff #21800 #22668) -#22666 := (iff #21799 #22665) -#22663 := (iff #21798 #22662) -#22660 := (iff #21792 #22659) -#22657 := (iff #21787 #22656) -#22654 := (iff #21786 #22653) -#22651 := (iff #21785 #22650) -#22648 := (iff #21778 #22647) -#22645 := (iff #21773 #22644) -#22642 := (iff #21772 #22641) -#22639 := (iff #21771 #22638) -#22636 := (iff #21749 #22635) -#22633 := (iff #21744 #22632) -#22630 := (iff #21743 #22629) -#22627 := (iff #21742 #22626) -#22624 := (iff #21732 #22623) -#22621 := (iff #21703 #22620) -#22618 := (iff #21702 #22617) -#22615 := (iff #21701 #22614) -#22612 := (iff #21694 #22609) -#22610 := (iff #21683 #21683) -#22611 := [refl]: #22610 -#22613 := [quant-intro #22611]: #22612 -#22616 := [monotonicity #22613]: #22615 -#22607 := (iff #21700 #22606) -#22604 := (iff #21679 #22601) -#22602 := (iff #21674 #21674) -#22603 := [refl]: #22602 -#22605 := [quant-intro #22603]: #22604 -#22608 := [monotonicity #22605]: #22607 -#22619 := [monotonicity #22608 #22616]: #22618 -#22622 := [monotonicity #22619]: #22621 -#22625 := [monotonicity #22622]: #22624 -#22628 := [monotonicity #22625]: #22627 -#22631 := [monotonicity #22628]: #22630 -#22634 := [monotonicity #22631]: #22633 -#22599 := (iff #21655 #22598) -#22596 := (iff #21654 #22595) -#22593 := (iff #21653 #22592) -#22590 := (iff #21647 #22589) -#22587 := (iff #21642 #22586) -#22584 := (iff #21641 #22583) -#22581 := (iff #21640 #22580) -#22578 := (iff #21634 #22577) -#22575 := (iff #21629 #22574) -#22572 := (iff #21628 #22571) -#22569 := (iff #21627 #22568) -#22566 := (iff #21621 #22565) -#22563 := (iff #21616 #22562) -#22560 := (iff #21615 #22559) -#22527 := (iff #21576 #22526) -#22524 := (iff #21564 #22523) -#22521 := (iff #21559 #22520) -#22518 := (iff #21558 #22517) -#22515 := (iff #21557 #22514) -#22512 := (iff #21547 #22511) -#22509 := (iff #21542 #22508) -#22506 := (iff #21541 #22505) -#22503 := (iff #21540 #22502) -#22500 := (iff #21534 #22499) -#22497 := (iff #21505 #22496) -#22494 := (iff #21504 #22493) -#22491 := (iff #21503 #22490) -#22488 := (iff #21497 #22485) -#22486 := (iff #21492 #21492) -#22487 := [refl]: #22486 -#22489 := [quant-intro #22487]: #22488 -#22492 := [monotonicity #22489]: #22491 -#22495 := [monotonicity #22492]: #22494 -#22498 := [monotonicity #22495]: #22497 -#22501 := [monotonicity #22498]: #22500 -#22504 := [monotonicity #22501]: #22503 -#22507 := [monotonicity #22504]: #22506 -#22510 := [monotonicity #22507]: #22509 -#22513 := [monotonicity #22510]: #22512 -#22516 := [monotonicity #22513]: #22515 -#22519 := [monotonicity #22516]: #22518 -#22522 := [monotonicity #22519]: #22521 -#22525 := [monotonicity #22522]: #22524 -#22528 := [monotonicity #22525]: #22527 -#22561 := [monotonicity #22528]: #22560 -#22564 := [monotonicity #22561]: #22563 -#22557 := (iff #21605 #22556) -#22554 := (iff #21604 #22553) -#22551 := (iff #21603 #22550) -#22548 := (iff #21596 #22547) -#22545 := (iff #21591 #22544) -#22542 := (iff #21590 #22541) -#22539 := (iff #21589 #22538) -#22536 := (iff #21583 #22535) -#22533 := (iff #21578 #22532) -#22530 := (iff #21577 #22529) -#22531 := [monotonicity #22528]: #22530 -#22534 := [monotonicity #22531]: #22533 -#22537 := [monotonicity #22534]: #22536 -#22540 := [monotonicity #22537]: #22539 -#22543 := [monotonicity #22540]: #22542 -#22546 := [monotonicity #22543]: #22545 -#22549 := [monotonicity #22546]: #22548 -#22552 := [monotonicity #22549]: #22551 -#22555 := [monotonicity #22552]: #22554 -#22558 := [monotonicity #22555]: #22557 -#22567 := [monotonicity #22558 #22564]: #22566 -#22570 := [monotonicity #22567]: #22569 -#22573 := [monotonicity #22570]: #22572 -#22576 := [monotonicity #22573]: #22575 -#22579 := [monotonicity #22576]: #22578 -#22582 := [monotonicity #22579]: #22581 -#22585 := [monotonicity #22582]: #22584 -#22588 := [monotonicity #22585]: #22587 -#22591 := [monotonicity #22588]: #22590 -#22594 := [monotonicity #22591]: #22593 -#22597 := [monotonicity #22594]: #22596 -#22600 := [monotonicity #22597]: #22599 -#22637 := [monotonicity #22600 #22634]: #22636 -#22640 := [monotonicity #22637]: #22639 -#22483 := (iff #21767 #22482) -#22480 := (iff #21463 #22477) -#22478 := (iff #21458 #21458) -#22479 := [refl]: #22478 -#22481 := [quant-intro #22479]: #22480 -#22484 := [monotonicity #22481]: #22483 -#22643 := [monotonicity #22484 #22640]: #22642 -#22646 := [monotonicity #22643]: #22645 -#22649 := [monotonicity #22646]: #22648 -#22652 := [monotonicity #22649]: #22651 -#22475 := (iff #21784 #22474) -#22472 := (iff #21441 #22469) -#22470 := (iff #21436 #21436) -#22471 := [refl]: #22470 -#22473 := [quant-intro #22471]: #22472 -#22476 := [monotonicity #22473]: #22475 -#22655 := [monotonicity #22476 #22652]: #22654 -#22658 := [monotonicity #22655]: #22657 -#22661 := [monotonicity #22658]: #22660 -#22664 := [monotonicity #22661]: #22663 -#22667 := [monotonicity #22664]: #22666 -#22670 := [monotonicity #22667]: #22669 -#22673 := [monotonicity #22670]: #22672 -#22676 := [monotonicity #22673]: #22675 -#22679 := [monotonicity #22676]: #22678 -#22682 := [monotonicity #22679]: #22681 -#22685 := [monotonicity #22682]: #22684 -#22688 := [monotonicity #22685]: #22687 -#22691 := [monotonicity #22688]: #22690 -#22694 := [monotonicity #22691]: #22693 -#22697 := [monotonicity #22694]: #22696 -#22700 := [monotonicity #22697]: #22699 -#22703 := [monotonicity #22700]: #22702 -#22706 := [monotonicity #22703]: #22705 -#22709 := [monotonicity #22706]: #22708 -#18175 := (not #18170) -#18181 := (and #17866 #17870 #18175) -#18186 := (not #18181) -#18189 := (or #18157 #18186) -#18192 := (not #18189) -#15260 := (and #3142 #4041 #13272 #14378) -#17890 := (not #15260) -#17893 := (forall (vars (?x778 int)) #17890) -#15235 := (and #4041 #13272 #14378) -#15240 := (not #15235) -#15246 := (or #13288 #15240) -#15251 := (forall (vars (?x776 int)) #15246) -#17897 := (and #15251 #17893) -#18198 := (or #17897 #18192) -#18206 := (and #12113 #12116 #12119 #12122 #12910 #12913 #12967 #18198) -#18027 := (not #18022) -#18033 := (and #17757 #17761 #18027) -#18038 := (not #18033) -#18041 := (or #18009 #18038) -#18044 := (not #18041) -#15146 := (and #4041 #13098 #14378) -#15151 := (not #15146) -#15157 := (or #13114 #15151) -#15162 := (forall (vars (?x785 int)) #15157) -#17774 := (not #13135) -#17784 := (and #17774 #15162) -#18050 := (or #17784 #18044) -#18055 := (and #13089 #18050) -#18058 := (or #13093 #18055) -#18064 := (and #3258 #13017 #13051 #13059 #13061 #15127 #18058) -#18069 := (or #17742 #17745 #18064) -#18107 := (and #12521 #12524 #12910 #12913 #12997 #13017 #18069) -#18075 := (and #3236 #3237 #12346 #12355 #12375 #12380 #12383 #12913 #13017 #18069) -#18080 := (or #17721 #17730 #18075) -#18086 := (and #12346 #12349 #18080) -#18091 := (or #17721 #17724 #18086) -#18097 := (and #12910 #12913 #12996 #18091) -#18112 := (or #18097 #18107) -#18118 := (and #12346 #12355 #12910 #12913 #18112) -#18123 := (or #17721 #17730 #18118) -#18129 := (and #12346 #12349 #18123) -#18134 := (or #17721 #17724 #18129) -#18140 := (and #12910 #12913 #12968 #18134) -#18211 := (or #18140 #18206) -#15060 := (and #4041 #13364 #14378) -#15065 := (not #15060) -#15071 := (or #13380 #15065) -#15076 := (forall (vars (?x775 int)) #15071) -#18217 := (and #3055 #3195 #3196 #3197 #3198 #3199 #3200 #12030 #12067 #12261 #12741 #12910 #12913 #13359 #13389 #13392 #13402 #15076 #15085 #15096 #15107 #18211) -#18222 := (or #17676 #12740 #18217) -#15035 := (and #4041 #12870 #14378) -#15040 := (not #15035) -#15046 := (or #12885 #15040) -#15051 := (forall (vars (?x773 int)) #15046) -#18225 := (and #15051 #18222) -#17654 := (not #17653) -#17971 := (and #17652 #17654 #17655) -#17974 := (not #17971) -#17977 := (or #17662 #17974) -#17980 := (not #17977) -#18228 := (or #17980 #18225) -#18231 := (and #12863 #18228) -#18234 := (or #12866 #18231) -#18240 := (and #3055 #3056 #3057 #3058 #11970 #11979 #18234) -#18245 := (or #17631 #17640 #18240) -#18251 := (and #11970 #11973 #18245) -#18256 := (or #17631 #17634 #18251) -#18259 := (and #11967 #18256) -#18262 := (or #12702 #18259) -#21848 := (iff #18262 #21847) -#21845 := (iff #18259 #21842) -#21837 := (and #11967 #21834) -#21843 := (iff #21837 #21842) -#21844 := [rewrite]: #21843 -#21838 := (iff #18259 #21837) -#21835 := (iff #18256 #21834) -#21832 := (iff #18251 #21829) -#21824 := (and #11970 #11973 #21821) -#21830 := (iff #21824 #21829) -#21831 := [rewrite]: #21830 -#21825 := (iff #18251 #21824) -#21822 := (iff #18245 #21821) -#21819 := (iff #18240 #21816) -#21808 := (and #3055 #3056 #3057 #3058 #11970 #11979 #21805) -#21817 := (iff #21808 #21816) -#21818 := [rewrite]: #21817 -#21809 := (iff #18240 #21808) -#21806 := (iff #18234 #21805) -#21803 := (iff #18231 #21800) -#21795 := (and #12863 #21792) -#21801 := (iff #21795 #21800) -#21802 := [rewrite]: #21801 -#21796 := (iff #18231 #21795) -#21793 := (iff #18228 #21792) -#21790 := (iff #18225 #21787) -#21781 := (and #21441 #21778) -#21788 := (iff #21781 #21787) -#21789 := [rewrite]: #21788 -#21782 := (iff #18225 #21781) -#21779 := (iff #18222 #21778) -#21776 := (iff #18217 #21773) -#21752 := (and #3055 #3195 #3196 #3197 #3198 #3199 #3200 #12030 #12067 #12261 #12741 #12910 #12913 #13359 #13389 #13392 #13402 #21463 #15085 #15096 #15107 #21749) -#21774 := (iff #21752 #21773) -#21775 := [rewrite]: #21774 -#21753 := (iff #18217 #21752) -#21750 := (iff #18211 #21749) -#21747 := (iff #18206 #21744) -#21735 := (and #12113 #12116 #12119 #12122 #12910 #12913 #12967 #21732) -#21745 := (iff #21735 #21744) -#21746 := [rewrite]: #21745 -#21736 := (iff #18206 #21735) -#21733 := (iff #18198 #21732) -#21730 := (iff #18192 #21729) -#21727 := (iff #18189 #21724) -#21710 := (or #21708 #21709 #18170) -#21721 := (or #18157 #21710) -#21725 := (iff #21721 #21724) -#21726 := [rewrite]: #21725 -#21722 := (iff #18189 #21721) -#21719 := (iff #18186 #21710) -#21711 := (not #21710) -#21714 := (not #21711) -#21717 := (iff #21714 #21710) -#21718 := [rewrite]: #21717 -#21715 := (iff #18186 #21714) -#21712 := (iff #18181 #21711) -#21713 := [rewrite]: #21712 -#21716 := [monotonicity #21713]: #21715 -#21720 := [trans #21716 #21718]: #21719 -#21723 := [monotonicity #21720]: #21722 -#21728 := [trans #21723 #21726]: #21727 -#21731 := [monotonicity #21728]: #21730 -#21706 := (iff #17897 #21703) -#21697 := (and #21679 #21694) -#21704 := (iff #21697 #21703) -#21705 := [rewrite]: #21704 -#21698 := (iff #17897 #21697) -#21695 := (iff #17893 #21694) -#21692 := (iff #17890 #21683) -#21684 := (not #21683) -#21687 := (not #21684) -#21690 := (iff #21687 #21683) -#21691 := [rewrite]: #21690 -#21688 := (iff #17890 #21687) -#21685 := (iff #15260 #21684) -#21686 := [rewrite]: #21685 -#21689 := [monotonicity #21686]: #21688 -#21693 := [trans #21689 #21691]: #21692 -#21696 := [quant-intro #21693]: #21695 -#21680 := (iff #15251 #21679) -#21677 := (iff #15246 #21674) -#21660 := (or #4963 #13270 #18695) -#21671 := (or #13288 #21660) -#21675 := (iff #21671 #21674) -#21676 := [rewrite]: #21675 -#21672 := (iff #15246 #21671) -#21669 := (iff #15240 #21660) -#21661 := (not #21660) -#21664 := (not #21661) -#21667 := (iff #21664 #21660) -#21668 := [rewrite]: #21667 -#21665 := (iff #15240 #21664) -#21662 := (iff #15235 #21661) -#21663 := [rewrite]: #21662 -#21666 := [monotonicity #21663]: #21665 -#21670 := [trans #21666 #21668]: #21669 -#21673 := [monotonicity #21670]: #21672 -#21678 := [trans #21673 #21676]: #21677 -#21681 := [quant-intro #21678]: #21680 -#21699 := [monotonicity #21681 #21696]: #21698 -#21707 := [trans #21699 #21705]: #21706 -#21734 := [monotonicity #21707 #21731]: #21733 -#21737 := [monotonicity #21734]: #21736 -#21748 := [trans #21737 #21746]: #21747 -#21658 := (iff #18140 #21655) -#21650 := (and #12910 #12913 #12968 #21647) -#21656 := (iff #21650 #21655) -#21657 := [rewrite]: #21656 -#21651 := (iff #18140 #21650) -#21648 := (iff #18134 #21647) -#21645 := (iff #18129 #21642) -#21637 := (and #12346 #12349 #21634) -#21643 := (iff #21637 #21642) -#21644 := [rewrite]: #21643 -#21638 := (iff #18129 #21637) -#21635 := (iff #18123 #21634) -#21632 := (iff #18118 #21629) -#21624 := (and #12346 #12355 #12910 #12913 #21621) -#21630 := (iff #21624 #21629) -#21631 := [rewrite]: #21630 -#21625 := (iff #18118 #21624) -#21622 := (iff #18112 #21621) -#21619 := (iff #18107 #21616) -#21610 := (and #12521 #12524 #12910 #12913 #12997 #13017 #21564) -#21617 := (iff #21610 #21616) -#21618 := [rewrite]: #21617 -#21611 := (iff #18107 #21610) -#21565 := (iff #18069 #21564) -#21562 := (iff #18064 #21559) -#21550 := (and #3258 #13017 #13051 #13059 #13061 #15127 #21547) -#21560 := (iff #21550 #21559) -#21561 := [rewrite]: #21560 -#21551 := (iff #18064 #21550) -#21548 := (iff #18058 #21547) -#21545 := (iff #18055 #21542) -#21537 := (and #13089 #21534) -#21543 := (iff #21537 #21542) -#21544 := [rewrite]: #21543 -#21538 := (iff #18055 #21537) -#21535 := (iff #18050 #21534) -#21532 := (iff #18044 #21531) -#21529 := (iff #18041 #21526) -#21512 := (or #21510 #21511 #18022) -#21523 := (or #18009 #21512) -#21527 := (iff #21523 #21526) -#21528 := [rewrite]: #21527 -#21524 := (iff #18041 #21523) -#21521 := (iff #18038 #21512) -#21513 := (not #21512) -#21516 := (not #21513) -#21519 := (iff #21516 #21512) -#21520 := [rewrite]: #21519 -#21517 := (iff #18038 #21516) -#21514 := (iff #18033 #21513) -#21515 := [rewrite]: #21514 -#21518 := [monotonicity #21515]: #21517 -#21522 := [trans #21518 #21520]: #21521 -#21525 := [monotonicity #21522]: #21524 -#21530 := [trans #21525 #21528]: #21529 -#21533 := [monotonicity #21530]: #21532 -#21508 := (iff #17784 #21505) -#21500 := (and #21467 #21497) -#21506 := (iff #21500 #21505) -#21507 := [rewrite]: #21506 -#21501 := (iff #17784 #21500) -#21498 := (iff #15162 #21497) -#21495 := (iff #15157 #21492) -#21478 := (or #4963 #13096 #18695) -#21489 := (or #13114 #21478) -#21493 := (iff #21489 #21492) -#21494 := [rewrite]: #21493 -#21490 := (iff #15157 #21489) -#21487 := (iff #15151 #21478) -#21479 := (not #21478) -#21482 := (not #21479) -#21485 := (iff #21482 #21478) -#21486 := [rewrite]: #21485 -#21483 := (iff #15151 #21482) -#21480 := (iff #15146 #21479) -#21481 := [rewrite]: #21480 -#21484 := [monotonicity #21481]: #21483 -#21488 := [trans #21484 #21486]: #21487 -#21491 := [monotonicity #21488]: #21490 -#21496 := [trans #21491 #21494]: #21495 -#21499 := [quant-intro #21496]: #21498 -#21476 := (iff #17774 #21467) -#21471 := (not #21468) -#21474 := (iff #21471 #21467) -#21475 := [rewrite]: #21474 -#21472 := (iff #17774 #21471) -#21469 := (iff #13135 #21468) -#21470 := [rewrite]: #21469 -#21473 := [monotonicity #21470]: #21472 -#21477 := [trans #21473 #21475]: #21476 -#21502 := [monotonicity #21477 #21499]: #21501 -#21509 := [trans #21502 #21507]: #21508 -#21536 := [monotonicity #21509 #21533]: #21535 -#21539 := [monotonicity #21536]: #21538 -#21546 := [trans #21539 #21544]: #21545 -#21549 := [monotonicity #21546]: #21548 -#21552 := [monotonicity #21549]: #21551 -#21563 := [trans #21552 #21561]: #21562 -#21566 := [monotonicity #21563]: #21565 -#21612 := [monotonicity #21566]: #21611 -#21620 := [trans #21612 #21618]: #21619 -#21608 := (iff #18097 #21605) -#21599 := (and #12910 #12913 #12996 #21596) -#21606 := (iff #21599 #21605) -#21607 := [rewrite]: #21606 -#21600 := (iff #18097 #21599) -#21597 := (iff #18091 #21596) -#21594 := (iff #18086 #21591) -#21586 := (and #12346 #12349 #21583) -#21592 := (iff #21586 #21591) -#21593 := [rewrite]: #21592 -#21587 := (iff #18086 #21586) -#21584 := (iff #18080 #21583) -#21581 := (iff #18075 #21578) -#21567 := (and #3236 #3237 #12346 #12355 #12375 #12380 #12383 #12913 #13017 #21564) -#21579 := (iff #21567 #21578) -#21580 := [rewrite]: #21579 -#21568 := (iff #18075 #21567) -#21569 := [monotonicity #21566]: #21568 -#21582 := [trans #21569 #21580]: #21581 -#21585 := [monotonicity #21582]: #21584 -#21588 := [monotonicity #21585]: #21587 -#21595 := [trans #21588 #21593]: #21594 -#21598 := [monotonicity #21595]: #21597 -#21601 := [monotonicity #21598]: #21600 -#21609 := [trans #21601 #21607]: #21608 -#21623 := [monotonicity #21609 #21620]: #21622 -#21626 := [monotonicity #21623]: #21625 -#21633 := [trans #21626 #21631]: #21632 -#21636 := [monotonicity #21633]: #21635 -#21639 := [monotonicity #21636]: #21638 -#21646 := [trans #21639 #21644]: #21645 -#21649 := [monotonicity #21646]: #21648 -#21652 := [monotonicity #21649]: #21651 -#21659 := [trans #21652 #21657]: #21658 -#21751 := [monotonicity #21659 #21748]: #21750 -#21464 := (iff #15076 #21463) -#21461 := (iff #15071 #21458) -#21444 := (or #4963 #13362 #18695) -#21455 := (or #13380 #21444) -#21459 := (iff #21455 #21458) -#21460 := [rewrite]: #21459 -#21456 := (iff #15071 #21455) -#21453 := (iff #15065 #21444) -#21445 := (not #21444) -#21448 := (not #21445) -#21451 := (iff #21448 #21444) -#21452 := [rewrite]: #21451 -#21449 := (iff #15065 #21448) -#21446 := (iff #15060 #21445) -#21447 := [rewrite]: #21446 -#21450 := [monotonicity #21447]: #21449 -#21454 := [trans #21450 #21452]: #21453 -#21457 := [monotonicity #21454]: #21456 -#21462 := [trans #21457 #21460]: #21461 -#21465 := [quant-intro #21462]: #21464 -#21754 := [monotonicity #21465 #21751]: #21753 -#21777 := [trans #21754 #21775]: #21776 -#21780 := [monotonicity #21777]: #21779 -#21442 := (iff #15051 #21441) -#21439 := (iff #15046 #21436) -#21422 := (or #4963 #12869 #18695) -#21433 := (or #12885 #21422) -#21437 := (iff #21433 #21436) -#21438 := [rewrite]: #21437 -#21434 := (iff #15046 #21433) -#21431 := (iff #15040 #21422) -#21423 := (not #21422) -#21426 := (not #21423) -#21429 := (iff #21426 #21422) -#21430 := [rewrite]: #21429 -#21427 := (iff #15040 #21426) -#21424 := (iff #15035 #21423) -#21425 := [rewrite]: #21424 -#21428 := [monotonicity #21425]: #21427 -#21432 := [trans #21428 #21430]: #21431 -#21435 := [monotonicity #21432]: #21434 -#21440 := [trans #21435 #21438]: #21439 -#21443 := [quant-intro #21440]: #21442 -#21783 := [monotonicity #21443 #21780]: #21782 -#21791 := [trans #21783 #21789]: #21790 -#21420 := (iff #17980 #21419) -#21417 := (iff #17977 #21414) -#21400 := (or #21398 #17653 #21399) -#21411 := (or #17662 #21400) -#21415 := (iff #21411 #21414) -#21416 := [rewrite]: #21415 -#21412 := (iff #17977 #21411) -#21409 := (iff #17974 #21400) -#21401 := (not #21400) -#21404 := (not #21401) -#21407 := (iff #21404 #21400) -#21408 := [rewrite]: #21407 -#21405 := (iff #17974 #21404) -#21402 := (iff #17971 #21401) -#21403 := [rewrite]: #21402 -#21406 := [monotonicity #21403]: #21405 -#21410 := [trans #21406 #21408]: #21409 -#21413 := [monotonicity #21410]: #21412 -#21418 := [trans #21413 #21416]: #21417 -#21421 := [monotonicity #21418]: #21420 -#21794 := [monotonicity #21421 #21791]: #21793 -#21797 := [monotonicity #21794]: #21796 -#21804 := [trans #21797 #21802]: #21803 -#21807 := [monotonicity #21804]: #21806 -#21810 := [monotonicity #21807]: #21809 -#21820 := [trans #21810 #21818]: #21819 -#21823 := [monotonicity #21820]: #21822 -#21826 := [monotonicity #21823]: #21825 -#21833 := [trans #21826 #21831]: #21832 -#21836 := [monotonicity #21833]: #21835 -#21839 := [monotonicity #21836]: #21838 -#21846 := [trans #21839 #21844]: #21845 -#21849 := [monotonicity #21846]: #21848 -#17867 := (+ ?x776!15 #12727) -#17868 := (>= #17867 0::int) -#17869 := (not #17868) -#17871 := (and #17870 #17869 #17866) -#17872 := (not #17871) -#17875 := (+ #17874 #13286) -#17876 := (<= #17875 0::int) -#17877 := (or #17876 #17872) -#17878 := (not #17877) -#17901 := (or #17878 #17897) -#14493 := (and #12113 #12116 #12119 #12122 #12910 #12913) -#14498 := (not #14493) -#17862 := (not #14498) -#17859 := (not #13347) -#17905 := (and #17859 #17862 #17901) -#17758 := (+ ?x785!14 #13062) -#17759 := (>= #17758 0::int) -#17760 := (not #17759) -#17762 := (and #17761 #17760 #17757) -#17763 := (not #17762) -#17766 := (+ #17765 #13112) -#17767 := (<= #17766 0::int) -#17768 := (or #17767 #17763) -#17769 := (not #17768) -#17788 := (or #17769 #17784) -#17753 := (not #13093) -#17792 := (and #17753 #17788) -#17796 := (or #13093 #17792) -#15135 := (and #3258 #13017 #13051 #13059 #13061 #15127) -#15140 := (not #15135) -#17748 := (not #15140) -#17800 := (and #17748 #17796) -#17804 := (or #17742 #17745 #17800) -#17828 := (not #13216) -#17831 := (and #17828 #17804) -#17739 := (not #13048) -#17808 := (and #17739 #17804) -#17812 := (or #17721 #17730 #17808) -#17727 := (not #12503) -#17816 := (and #17727 #17812) -#17820 := (or #17721 #17724 #17816) -#17736 := (not #13013) -#17824 := (and #17736 #17820) -#17835 := (or #17824 #17831) -#17733 := (not #12993) -#17839 := (and #17733 #17835) -#17843 := (or #17721 #17730 #17839) -#17847 := (and #17727 #17843) -#17851 := (or #17721 #17724 #17847) -#17718 := (not #12982) -#17855 := (and #17718 #17851) -#17909 := (or #17855 #17905) -#15115 := (and #3055 #12030 #12741 #12910 #12913 #13359 #13389 #13392 #13402 #15076 #15085 #15096 #15107) -#14482 := (and #3195 #3196 #3197 #3198 #3199 #3200 #12067 #12261 #12910 #12913) -#14487 := (not #14482) -#17682 := (not #14487) -#17913 := (and #17682 #15115 #17909) -#17679 := (not #12741) -#17917 := (or #17676 #17679 #17913) -#17921 := (and #15051 #17917) -#17656 := (and #17655 #17654 #17652) -#17657 := (not #17656) -#17663 := (or #17662 #17657) -#17664 := (not #17663) -#17925 := (or #17664 #17921) -#17648 := (not #12866) -#17929 := (and #17648 #17925) -#17933 := (or #12866 #17929) -#17643 := (not #12860) -#17937 := (and #17643 #17933) -#17941 := (or #17631 #17640 #17937) -#17637 := (not #12690) -#17945 := (and #17637 #17941) -#17949 := (or #17631 #17634 #17945) -#17628 := (not #12702) -#17953 := (and #17628 #17949) -#17957 := (or #12702 #17953) -#18263 := (iff #17957 #18262) -#18260 := (iff #17953 #18259) -#18257 := (iff #17949 #18256) -#18254 := (iff #17945 #18251) -#18248 := (and #11976 #18245) -#18252 := (iff #18248 #18251) -#18253 := [rewrite]: #18252 -#18249 := (iff #17945 #18248) -#18246 := (iff #17941 #18245) -#18243 := (iff #17937 #18240) -#18237 := (and #12855 #18234) -#18241 := (iff #18237 #18240) -#18242 := [rewrite]: #18241 -#18238 := (iff #17937 #18237) -#18235 := (iff #17933 #18234) -#18232 := (iff #17929 #18231) -#18229 := (iff #17925 #18228) -#18226 := (iff #17921 #18225) -#18223 := (iff #17917 #18222) -#18220 := (iff #17913 #18217) -#18214 := (and #14482 #15115 #18211) -#18218 := (iff #18214 #18217) -#18219 := [rewrite]: #18218 -#18215 := (iff #17913 #18214) -#18212 := (iff #17909 #18211) -#18209 := (iff #17905 #18206) -#18203 := (and #13342 #14493 #18198) -#18207 := (iff #18203 #18206) -#18208 := [rewrite]: #18207 -#18204 := (iff #17905 #18203) -#18201 := (iff #17901 #18198) -#18195 := (or #18192 #17897) -#18199 := (iff #18195 #18198) -#18200 := [rewrite]: #18199 -#18196 := (iff #17901 #18195) -#18193 := (iff #17878 #18192) -#18190 := (iff #17877 #18189) -#18187 := (iff #17872 #18186) -#18184 := (iff #17871 #18181) -#18178 := (and #17870 #18175 #17866) -#18182 := (iff #18178 #18181) -#18183 := [rewrite]: #18182 -#18179 := (iff #17871 #18178) -#18176 := (iff #17869 #18175) -#18173 := (iff #17868 #18170) -#18162 := (+ #12727 ?x776!15) -#18165 := (>= #18162 0::int) -#18171 := (iff #18165 #18170) -#18172 := [rewrite]: #18171 -#18166 := (iff #17868 #18165) -#18163 := (= #17867 #18162) -#18164 := [rewrite]: #18163 -#18167 := [monotonicity #18164]: #18166 -#18174 := [trans #18167 #18172]: #18173 -#18177 := [monotonicity #18174]: #18176 -#18180 := [monotonicity #18177]: #18179 -#18185 := [trans #18180 #18183]: #18184 -#18188 := [monotonicity #18185]: #18187 -#18160 := (iff #17876 #18157) -#18149 := (+ #13286 #17874) -#18152 := (<= #18149 0::int) -#18158 := (iff #18152 #18157) -#18159 := [rewrite]: #18158 -#18153 := (iff #17876 #18152) -#18150 := (= #17875 #18149) -#18151 := [rewrite]: #18150 -#18154 := [monotonicity #18151]: #18153 -#18161 := [trans #18154 #18159]: #18160 -#18191 := [monotonicity #18161 #18188]: #18190 -#18194 := [monotonicity #18191]: #18193 -#18197 := [monotonicity #18194]: #18196 -#18202 := [trans #18197 #18200]: #18201 -#18147 := (iff #17862 #14493) -#18148 := [rewrite]: #18147 -#18145 := (iff #17859 #13342) -#18146 := [rewrite]: #18145 -#18205 := [monotonicity #18146 #18148 #18202]: #18204 -#18210 := [trans #18205 #18208]: #18209 -#18143 := (iff #17855 #18140) -#18137 := (and #12977 #18134) -#18141 := (iff #18137 #18140) -#18142 := [rewrite]: #18141 -#18138 := (iff #17855 #18137) -#18135 := (iff #17851 #18134) -#18132 := (iff #17847 #18129) -#18126 := (and #12352 #18123) -#18130 := (iff #18126 #18129) -#18131 := [rewrite]: #18130 -#18127 := (iff #17847 #18126) -#18124 := (iff #17843 #18123) -#18121 := (iff #17839 #18118) -#18115 := (and #12988 #18112) -#18119 := (iff #18115 #18118) -#18120 := [rewrite]: #18119 -#18116 := (iff #17839 #18115) -#18113 := (iff #17835 #18112) -#18110 := (iff #17831 #18107) -#18104 := (and #13211 #18069) -#18108 := (iff #18104 #18107) -#18109 := [rewrite]: #18108 -#18105 := (iff #17831 #18104) -#18070 := (iff #17804 #18069) -#18067 := (iff #17800 #18064) -#18061 := (and #15135 #18058) -#18065 := (iff #18061 #18064) -#18066 := [rewrite]: #18065 -#18062 := (iff #17800 #18061) -#18059 := (iff #17796 #18058) -#18056 := (iff #17792 #18055) -#18053 := (iff #17788 #18050) -#18047 := (or #18044 #17784) -#18051 := (iff #18047 #18050) -#18052 := [rewrite]: #18051 -#18048 := (iff #17788 #18047) -#18045 := (iff #17769 #18044) -#18042 := (iff #17768 #18041) -#18039 := (iff #17763 #18038) -#18036 := (iff #17762 #18033) -#18030 := (and #17761 #18027 #17757) -#18034 := (iff #18030 #18033) -#18035 := [rewrite]: #18034 -#18031 := (iff #17762 #18030) -#18028 := (iff #17760 #18027) -#18025 := (iff #17759 #18022) -#18014 := (+ #13062 ?x785!14) -#18017 := (>= #18014 0::int) -#18023 := (iff #18017 #18022) -#18024 := [rewrite]: #18023 -#18018 := (iff #17759 #18017) -#18015 := (= #17758 #18014) -#18016 := [rewrite]: #18015 -#18019 := [monotonicity #18016]: #18018 -#18026 := [trans #18019 #18024]: #18025 -#18029 := [monotonicity #18026]: #18028 -#18032 := [monotonicity #18029]: #18031 -#18037 := [trans #18032 #18035]: #18036 -#18040 := [monotonicity #18037]: #18039 -#18012 := (iff #17767 #18009) -#18001 := (+ #13112 #17765) -#18004 := (<= #18001 0::int) -#18010 := (iff #18004 #18009) -#18011 := [rewrite]: #18010 -#18005 := (iff #17767 #18004) -#18002 := (= #17766 #18001) -#18003 := [rewrite]: #18002 -#18006 := [monotonicity #18003]: #18005 -#18013 := [trans #18006 #18011]: #18012 -#18043 := [monotonicity #18013 #18040]: #18042 -#18046 := [monotonicity #18043]: #18045 -#18049 := [monotonicity #18046]: #18048 -#18054 := [trans #18049 #18052]: #18053 -#17999 := (iff #17753 #13089) -#18000 := [rewrite]: #17999 -#18057 := [monotonicity #18000 #18054]: #18056 -#18060 := [monotonicity #18057]: #18059 -#17997 := (iff #17748 #15135) -#17998 := [rewrite]: #17997 -#18063 := [monotonicity #17998 #18060]: #18062 -#18068 := [trans #18063 #18066]: #18067 -#18071 := [monotonicity #18068]: #18070 -#18102 := (iff #17828 #13211) -#18103 := [rewrite]: #18102 -#18106 := [monotonicity #18103 #18071]: #18105 -#18111 := [trans #18106 #18109]: #18110 -#18100 := (iff #17824 #18097) -#18094 := (and #13008 #18091) -#18098 := (iff #18094 #18097) -#18099 := [rewrite]: #18098 -#18095 := (iff #17824 #18094) -#18092 := (iff #17820 #18091) -#18089 := (iff #17816 #18086) -#18083 := (and #12352 #18080) -#18087 := (iff #18083 #18086) -#18088 := [rewrite]: #18087 -#18084 := (iff #17816 #18083) -#18081 := (iff #17812 #18080) -#18078 := (iff #17808 #18075) -#18072 := (and #13043 #18069) -#18076 := (iff #18072 #18075) -#18077 := [rewrite]: #18076 -#18073 := (iff #17808 #18072) -#17995 := (iff #17739 #13043) -#17996 := [rewrite]: #17995 -#18074 := [monotonicity #17996 #18071]: #18073 -#18079 := [trans #18074 #18077]: #18078 -#18082 := [monotonicity #18079]: #18081 -#17989 := (iff #17727 #12352) -#17990 := [rewrite]: #17989 -#18085 := [monotonicity #17990 #18082]: #18084 -#18090 := [trans #18085 #18088]: #18089 -#18093 := [monotonicity #18090]: #18092 -#17993 := (iff #17736 #13008) -#17994 := [rewrite]: #17993 -#18096 := [monotonicity #17994 #18093]: #18095 -#18101 := [trans #18096 #18099]: #18100 -#18114 := [monotonicity #18101 #18111]: #18113 -#17991 := (iff #17733 #12988) -#17992 := [rewrite]: #17991 -#18117 := [monotonicity #17992 #18114]: #18116 -#18122 := [trans #18117 #18120]: #18121 -#18125 := [monotonicity #18122]: #18124 -#18128 := [monotonicity #17990 #18125]: #18127 -#18133 := [trans #18128 #18131]: #18132 -#18136 := [monotonicity #18133]: #18135 -#17987 := (iff #17718 #12977) -#17988 := [rewrite]: #17987 -#18139 := [monotonicity #17988 #18136]: #18138 -#18144 := [trans #18139 #18142]: #18143 -#18213 := [monotonicity #18144 #18210]: #18212 -#17985 := (iff #17682 #14482) -#17986 := [rewrite]: #17985 -#18216 := [monotonicity #17986 #18213]: #18215 -#18221 := [trans #18216 #18219]: #18220 -#17983 := (iff #17679 #12740) -#17984 := [rewrite]: #17983 -#18224 := [monotonicity #17984 #18221]: #18223 -#18227 := [monotonicity #18224]: #18226 -#17981 := (iff #17664 #17980) -#17978 := (iff #17663 #17977) -#17975 := (iff #17657 #17974) -#17972 := (iff #17656 #17971) -#17973 := [rewrite]: #17972 -#17976 := [monotonicity #17973]: #17975 -#17979 := [monotonicity #17976]: #17978 -#17982 := [monotonicity #17979]: #17981 -#18230 := [monotonicity #17982 #18227]: #18229 -#17969 := (iff #17648 #12863) -#17970 := [rewrite]: #17969 -#18233 := [monotonicity #17970 #18230]: #18232 -#18236 := [monotonicity #18233]: #18235 -#17967 := (iff #17643 #12855) -#17968 := [rewrite]: #17967 -#18239 := [monotonicity #17968 #18236]: #18238 -#18244 := [trans #18239 #18242]: #18243 -#18247 := [monotonicity #18244]: #18246 -#17965 := (iff #17637 #11976) -#17966 := [rewrite]: #17965 -#18250 := [monotonicity #17966 #18247]: #18249 -#18255 := [trans #18250 #18253]: #18254 -#18258 := [monotonicity #18255]: #18257 -#17963 := (iff #17628 #11967) -#17964 := [rewrite]: #17963 -#18261 := [monotonicity #17964 #18258]: #18260 -#18264 := [monotonicity #18261]: #18263 -#15265 := (exists (vars (?x778 int)) #15260) -#15254 := (not #15251) -#15268 := (or #15254 #15265) -#15271 := (and #15251 #15268) -#15277 := (or #13347 #14498 #15271) -#15165 := (not #15162) -#15171 := (or #13135 #15165) -#15176 := (and #15162 #15171) -#15179 := (or #13093 #15176) -#15182 := (and #13089 #15179) -#15185 := (or #15140 #15182) -#15188 := (and #13051 #15127 #15185) -#15209 := (or #13216 #15188) -#15191 := (or #13048 #15188) -#15194 := (and #12346 #12355 #15191) -#15197 := (or #12503 #15194) -#15200 := (and #12346 #12349 #15197) -#15203 := (or #13013 #15200) -#15214 := (and #15203 #15209) -#15217 := (or #12993 #15214) -#15220 := (and #12346 #12355 #15217) -#15223 := (or #12503 #15220) -#15226 := (and #12346 #12349 #15223) -#15229 := (or #12982 #15226) -#15282 := (and #15229 #15277) -#15120 := (not #15115) -#15288 := (or #14487 #15120 #15282) -#15293 := (and #3055 #12741 #15288) -#15054 := (not #15051) -#15296 := (or #15054 #15293) -#15299 := (and #15051 #15296) -#15302 := (or #12866 #15299) -#15305 := (and #12863 #15302) -#15308 := (or #12860 #15305) -#15311 := (and #11970 #11979 #15308) -#15314 := (or #12690 #15311) -#15317 := (and #11970 #11973 #15314) -#15320 := (or #12702 #15317) -#15323 := (and #11967 #15320) -#15326 := (not #15323) -#17958 := (~ #15326 #17957) -#17954 := (not #15320) -#17955 := (~ #17954 #17953) -#17950 := (not #15317) -#17951 := (~ #17950 #17949) -#17946 := (not #15314) -#17947 := (~ #17946 #17945) -#17942 := (not #15311) -#17943 := (~ #17942 #17941) -#17938 := (not #15308) -#17939 := (~ #17938 #17937) -#17934 := (not #15305) -#17935 := (~ #17934 #17933) -#17930 := (not #15302) -#17931 := (~ #17930 #17929) -#17926 := (not #15299) -#17927 := (~ #17926 #17925) -#17922 := (not #15296) -#17923 := (~ #17922 #17921) -#17918 := (not #15293) -#17919 := (~ #17918 #17917) -#17914 := (not #15288) -#17915 := (~ #17914 #17913) -#17910 := (not #15282) -#17911 := (~ #17910 #17909) -#17906 := (not #15277) -#17907 := (~ #17906 #17905) -#17902 := (not #15271) -#17903 := (~ #17902 #17901) -#17898 := (not #15268) -#17899 := (~ #17898 #17897) -#17894 := (not #15265) -#17895 := (~ #17894 #17893) -#17891 := (~ #17890 #17890) -#17892 := [refl]: #17891 -#17896 := [nnf-neg #17892]: #17895 -#17887 := (not #15254) -#17888 := (~ #17887 #15251) -#17885 := (~ #15251 #15251) -#17883 := (~ #15246 #15246) -#17884 := [refl]: #17883 -#17886 := [nnf-pos #17884]: #17885 -#17889 := [nnf-neg #17886]: #17888 -#17900 := [nnf-neg #17889 #17896]: #17899 -#17879 := (~ #15254 #17878) -#17880 := [sk]: #17879 -#17904 := [nnf-neg #17880 #17900]: #17903 -#17863 := (~ #17862 #17862) -#17864 := [refl]: #17863 -#17860 := (~ #17859 #17859) -#17861 := [refl]: #17860 -#17908 := [nnf-neg #17861 #17864 #17904]: #17907 -#17856 := (not #15229) -#17857 := (~ #17856 #17855) -#17852 := (not #15226) -#17853 := (~ #17852 #17851) -#17848 := (not #15223) -#17849 := (~ #17848 #17847) -#17844 := (not #15220) -#17845 := (~ #17844 #17843) -#17840 := (not #15217) -#17841 := (~ #17840 #17839) -#17836 := (not #15214) -#17837 := (~ #17836 #17835) -#17832 := (not #15209) -#17833 := (~ #17832 #17831) -#17805 := (not #15188) -#17806 := (~ #17805 #17804) -#17801 := (not #15185) -#17802 := (~ #17801 #17800) -#17797 := (not #15182) -#17798 := (~ #17797 #17796) -#17793 := (not #15179) -#17794 := (~ #17793 #17792) -#17789 := (not #15176) -#17790 := (~ #17789 #17788) -#17785 := (not #15171) -#17786 := (~ #17785 #17784) -#17781 := (not #15165) -#17782 := (~ #17781 #15162) -#17779 := (~ #15162 #15162) -#17777 := (~ #15157 #15157) -#17778 := [refl]: #17777 -#17780 := [nnf-pos #17778]: #17779 -#17783 := [nnf-neg #17780]: #17782 -#17775 := (~ #17774 #17774) -#17776 := [refl]: #17775 -#17787 := [nnf-neg #17776 #17783]: #17786 -#17770 := (~ #15165 #17769) -#17771 := [sk]: #17770 -#17791 := [nnf-neg #17771 #17787]: #17790 -#17754 := (~ #17753 #17753) -#17755 := [refl]: #17754 -#17795 := [nnf-neg #17755 #17791]: #17794 -#17751 := (~ #13093 #13093) -#17752 := [refl]: #17751 -#17799 := [nnf-neg #17752 #17795]: #17798 -#17749 := (~ #17748 #17748) -#17750 := [refl]: #17749 -#17803 := [nnf-neg #17750 #17799]: #17802 -#17746 := (~ #17745 #17745) -#17747 := [refl]: #17746 -#17743 := (~ #17742 #17742) -#17744 := [refl]: #17743 -#17807 := [nnf-neg #17744 #17747 #17803]: #17806 -#17829 := (~ #17828 #17828) -#17830 := [refl]: #17829 -#17834 := [nnf-neg #17830 #17807]: #17833 -#17825 := (not #15203) -#17826 := (~ #17825 #17824) -#17821 := (not #15200) -#17822 := (~ #17821 #17820) -#17817 := (not #15197) -#17818 := (~ #17817 #17816) -#17813 := (not #15194) -#17814 := (~ #17813 #17812) -#17809 := (not #15191) -#17810 := (~ #17809 #17808) -#17740 := (~ #17739 #17739) -#17741 := [refl]: #17740 -#17811 := [nnf-neg #17741 #17807]: #17810 -#17731 := (~ #17730 #17730) -#17732 := [refl]: #17731 -#17722 := (~ #17721 #17721) -#17723 := [refl]: #17722 -#17815 := [nnf-neg #17723 #17732 #17811]: #17814 -#17728 := (~ #17727 #17727) -#17729 := [refl]: #17728 -#17819 := [nnf-neg #17729 #17815]: #17818 -#17725 := (~ #17724 #17724) -#17726 := [refl]: #17725 -#17823 := [nnf-neg #17723 #17726 #17819]: #17822 -#17737 := (~ #17736 #17736) -#17738 := [refl]: #17737 -#17827 := [nnf-neg #17738 #17823]: #17826 -#17838 := [nnf-neg #17827 #17834]: #17837 -#17734 := (~ #17733 #17733) -#17735 := [refl]: #17734 -#17842 := [nnf-neg #17735 #17838]: #17841 -#17846 := [nnf-neg #17723 #17732 #17842]: #17845 -#17850 := [nnf-neg #17729 #17846]: #17849 -#17854 := [nnf-neg #17723 #17726 #17850]: #17853 -#17719 := (~ #17718 #17718) -#17720 := [refl]: #17719 -#17858 := [nnf-neg #17720 #17854]: #17857 -#17912 := [nnf-neg #17858 #17908]: #17911 -#17715 := (not #15120) -#17716 := (~ #17715 #15115) -#17713 := (~ #15115 #15115) -#17711 := (~ #15107 #15107) -#17712 := [refl]: #17711 -#17709 := (~ #15096 #15096) -#17710 := [refl]: #17709 -#17707 := (~ #15085 #15085) -#17708 := [refl]: #17707 -#17705 := (~ #15076 #15076) -#17703 := (~ #15071 #15071) -#17704 := [refl]: #17703 -#17706 := [nnf-pos #17704]: #17705 -#17701 := (~ #13402 #13402) -#17702 := [refl]: #17701 -#17699 := (~ #13392 #13392) -#17700 := [refl]: #17699 -#17697 := (~ #13389 #13389) -#17698 := [refl]: #17697 -#17695 := (~ #13359 #13359) -#17696 := [refl]: #17695 -#17693 := (~ #12913 #12913) -#17694 := [refl]: #17693 -#17691 := (~ #12910 #12910) -#17692 := [refl]: #17691 -#17689 := (~ #12741 #12741) -#17690 := [refl]: #17689 -#17687 := (~ #12030 #12030) -#17688 := [refl]: #17687 -#17685 := (~ #3055 #3055) -#17686 := [refl]: #17685 -#17714 := [monotonicity #17686 #17688 #17690 #17692 #17694 #17696 #17698 #17700 #17702 #17706 #17708 #17710 #17712]: #17713 -#17717 := [nnf-neg #17714]: #17716 -#17683 := (~ #17682 #17682) -#17684 := [refl]: #17683 -#17916 := [nnf-neg #17684 #17717 #17912]: #17915 -#17680 := (~ #17679 #17679) -#17681 := [refl]: #17680 -#17677 := (~ #17676 #17676) -#17678 := [refl]: #17677 -#17920 := [nnf-neg #17678 #17681 #17916]: #17919 -#17673 := (not #15054) -#17674 := (~ #17673 #15051) -#17671 := (~ #15051 #15051) -#17669 := (~ #15046 #15046) -#17670 := [refl]: #17669 -#17672 := [nnf-pos #17670]: #17671 -#17675 := [nnf-neg #17672]: #17674 -#17924 := [nnf-neg #17675 #17920]: #17923 -#17665 := (~ #15054 #17664) -#17666 := [sk]: #17665 -#17928 := [nnf-neg #17666 #17924]: #17927 -#17649 := (~ #17648 #17648) -#17650 := [refl]: #17649 -#17932 := [nnf-neg #17650 #17928]: #17931 -#17646 := (~ #12866 #12866) -#17647 := [refl]: #17646 -#17936 := [nnf-neg #17647 #17932]: #17935 -#17644 := (~ #17643 #17643) -#17645 := [refl]: #17644 -#17940 := [nnf-neg #17645 #17936]: #17939 -#17641 := (~ #17640 #17640) -#17642 := [refl]: #17641 -#17632 := (~ #17631 #17631) -#17633 := [refl]: #17632 -#17944 := [nnf-neg #17633 #17642 #17940]: #17943 -#17638 := (~ #17637 #17637) -#17639 := [refl]: #17638 -#17948 := [nnf-neg #17639 #17944]: #17947 -#17635 := (~ #17634 #17634) -#17636 := [refl]: #17635 -#17952 := [nnf-neg #17633 #17636 #17948]: #17951 -#17629 := (~ #17628 #17628) -#17630 := [refl]: #17629 -#17956 := [nnf-neg #17630 #17952]: #17955 -#17626 := (~ #12702 #12702) -#17627 := [refl]: #17626 -#17959 := [nnf-neg #17627 #17956]: #17958 -#14519 := (or #13325 #13347 #14498) -#14524 := (and #13247 #14519) -#14530 := (or #13453 #14487 #14524) -#14535 := (and #3055 #12741 #14530) -#14538 := (or #12895 #14535) -#14541 := (and #12892 #14538) -#14544 := (or #12866 #14541) -#14547 := (and #12863 #14544) -#14550 := (or #12860 #14547) -#14553 := (and #11970 #11979 #14550) -#14556 := (or #12690 #14553) -#14559 := (and #11970 #11973 #14556) -#14562 := (or #12702 #14559) -#14565 := (and #11967 #14562) -#14568 := (not #14565) -#15327 := (iff #14568 #15326) -#15324 := (iff #14565 #15323) -#15321 := (iff #14562 #15320) -#15318 := (iff #14559 #15317) -#15315 := (iff #14556 #15314) -#15312 := (iff #14553 #15311) -#15309 := (iff #14550 #15308) -#15306 := (iff #14547 #15305) -#15303 := (iff #14544 #15302) -#15300 := (iff #14541 #15299) -#15297 := (iff #14538 #15296) -#15294 := (iff #14535 #15293) -#15291 := (iff #14530 #15288) -#15285 := (or #15120 #14487 #15282) -#15289 := (iff #15285 #15288) -#15290 := [rewrite]: #15289 -#15286 := (iff #14530 #15285) -#15283 := (iff #14524 #15282) -#15280 := (iff #14519 #15277) -#15274 := (or #15271 #13347 #14498) -#15278 := (iff #15274 #15277) -#15279 := [rewrite]: #15278 -#15275 := (iff #14519 #15274) -#15272 := (iff #13325 #15271) -#15269 := (iff #13320 #15268) -#15266 := (iff #13311 #15265) -#15263 := (iff #13306 #15260) -#15257 := (and #3142 #4041 #14378 #13272) -#15261 := (iff #15257 #15260) -#15262 := [rewrite]: #15261 -#15258 := (iff #13306 #15257) -#14373 := (iff #4355 #14378) -#14394 := -4294967295::int -#14386 := (+ -4294967295::int #161) -#14379 := (<= #14386 0::int) -#14375 := (iff #14379 #14378) -#14376 := [rewrite]: #14375 -#14380 := (iff #4355 #14379) -#14381 := (= #4354 #14386) -#14387 := (+ #161 -4294967295::int) -#14383 := (= #14387 #14386) -#14384 := [rewrite]: #14383 -#14388 := (= #4354 #14387) -#14389 := (= #4353 -4294967295::int) -#14395 := (* -1::int 4294967295::int) -#14391 := (= #14395 -4294967295::int) -#14392 := [rewrite]: #14391 -#14396 := (= #4353 #14395) -#7476 := (= uf_76 4294967295::int) +#10016 := (iff #2227 #10013) +#9965 := (and #52 #3455) +#9969 := (and #3623 #9965) +#9972 := (and #3620 #9969) +#9975 := (and #3617 #9972) +#9978 := (and #3602 #9975) +#9981 := (and #3899 #9978) +#9990 := (not #9981) +#9991 := (or #9990 #9984) +#9996 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #9991) +#10014 := (iff #9996 #10013) +#10011 := (iff #9991 #10008) +#10005 := (or #10002 #9984) +#10009 := (iff #10005 #10008) +#10010 := [rewrite]: #10009 +#10006 := (iff #9991 #10005) +#10003 := (iff #9990 #10002) +#10000 := (iff #9981 #9999) +#10001 := [rewrite]: #10000 +#10004 := [monotonicity #10001]: #10003 +#10007 := [monotonicity #10004]: #10006 +#10012 := [trans #10007 #10010]: #10011 +#10015 := [quant-intro #10012]: #10014 +#9997 := (iff #2227 #9996) +#9994 := (iff #2226 #9991) +#9987 := (implies #9981 #9984) +#9992 := (iff #9987 #9991) +#9993 := [rewrite]: #9992 +#9988 := (iff #2226 #9987) +#9985 := (iff #2225 #9984) +#9986 := [rewrite]: #9985 +#9982 := (iff #2224 #9981) +#9979 := (iff #2223 #9978) +#9976 := (iff #2222 #9975) +#9973 := (iff #2221 #9972) +#9970 := (iff #2220 #9969) +#9967 := (iff #2219 #9965) +#3456 := (iff #72 #3455) +#3457 := [rewrite]: #3456 +#9968 := [monotonicity #3457]: #9967 +#9971 := [monotonicity #3625 #9968]: #9970 +#3621 := (iff #145 #3620) +#3622 := [rewrite]: #3621 +#9974 := [monotonicity #3622 #9971]: #9973 +#9977 := [monotonicity #3619 #9974]: #9976 +#3604 := (iff #136 #3602) +#3605 := [rewrite]: #3604 +#9980 := [monotonicity #3605 #9977]: #9979 +#3901 := (iff #229 #3899) +#3902 := [rewrite]: #3901 +#9983 := [monotonicity #3902 #9980]: #9982 +#9989 := [monotonicity #9983 #9986]: #9988 +#9995 := [trans #9989 #9993]: #9994 +#9998 := [quant-intro #9995]: #9997 +#10017 := [trans #9998 #10015]: #10016 +#9964 := [asserted]: #2227 +#10018 := [mp #9964 #10017]: #10013 +#17576 := [mp~ #10018 #17575]: #10013 +#21604 := [mp #17576 #21603]: #21601 +#26589 := (not #26588) +#26409 := (not #26383) +#26353 := (not #26352) +#24483 := (not #11905) +#26517 := (not #21601) +#26520 := (or #26517 #24483 #26353 #26409 #26479 #26584 #26587 #26589 #26593) +#26591 := (= #26590 uf_14) +#26592 := (or #26591 #26353 #26409 #26589 #26587 #26584 #24483 #26479) +#26521 := (or #26517 #26592) +#26572 := (iff #26521 #26520) +#26599 := (or #24483 #26353 #26409 #26479 #26584 #26587 #26589 #26593) +#26523 := (or #26517 #26599) +#26570 := (iff #26523 #26520) +#26571 := [rewrite]: #26570 +#26574 := (iff #26521 #26523) +#26602 := (iff #26592 #26599) +#26596 := (or #26593 #26353 #26409 #26589 #26587 #26584 #24483 #26479) +#26600 := (iff #26596 #26599) +#26601 := [rewrite]: #26600 +#26597 := (iff #26592 #26596) +#26594 := (iff #26591 #26593) +#26595 := [rewrite]: #26594 +#26598 := [monotonicity #26595]: #26597 +#26603 := [trans #26598 #26601]: #26602 +#26569 := [monotonicity #26603]: #26574 +#26568 := [trans #26569 #26571]: #26572 +#26522 := [quant-inst]: #26521 +#26573 := [mp #26522 #26568]: #26520 +#26837 := [unit-resolution #26573 #21604 #14064 #26836 #26811 #26786 #26779]: #26819 +#26838 := [unit-resolution #26837 #26758 #26746 #26737]: false +#26899 := [lemma #26838]: #26479 +#26492 := (or #26490 #26500 #26481) +#26493 := [def-axiom]: #26492 +#26513 := [unit-resolution #26493 #26899]: #26518 +#26519 := [unit-resolution #26513 #26699]: #26481 +#26578 := [trans #26519 #26577]: #11925 +#26514 := [hypothesis]: #13009 +#26580 := [unit-resolution #26514 #26578]: false +#26581 := [lemma #26580]: #11925 +#23239 := (or #13009 #23236) +#22240 := (forall (vars (?x778 int)) #22229) +#22247 := (not #22240) +#22225 := (forall (vars (?x776 int)) #22220) +#22246 := (not #22225) +#22248 := (or #22246 #22247) +#22249 := (not #22248) +#22278 := (or #22249 #22275) +#22284 := (not #22278) +#22285 := (or #12079 #12070 #12061 #12052 #22161 #13365 #13511 #22284) +#22286 := (not #22285) +#22064 := (forall (vars (?x785 int)) #22059) +#22070 := (not #22064) +#22071 := (or #22046 #22070) +#22072 := (not #22071) +#22101 := (or #22072 #22098) +#22107 := (not #22101) +#22108 := (or #13264 #22107) +#22109 := (not #22108) +#22114 := (or #13264 #22109) +#22122 := (not #22114) +#22123 := (or #12401 #22120 #18276 #22121 #13331 #18279 #22122) +#22124 := (not #22123) +#22129 := (or #18276 #18279 #22124) +#22135 := (not #22129) +#22172 := (or #12566 #12557 #22161 #13365 #22120 #13416 #22135) +#22173 := (not #22172) +#22136 := (or #12476 #12467 #18238 #18247 #12485 #12449 #12440 #13365 #22120 #22135) +#22137 := (not #22136) +#22142 := (or #18238 #18247 #22137) +#22148 := (not #22142) +#22149 := (or #18238 #18241 #22148) +#22150 := (not #22149) +#22155 := (or #18238 #18241 #22150) +#22162 := (not #22155) +#22163 := (or #22161 #13365 #13417 #22162) +#22164 := (not #22163) +#22178 := (or #22164 #22173) +#22184 := (not #22178) +#22185 := (or #18238 #18247 #22161 #13365 #22184) +#22186 := (not #22185) +#22191 := (or #18238 #18247 #22186) +#22197 := (not #22191) +#22198 := (or #18238 #18241 #22197) +#22199 := (not #22198) +#22204 := (or #18238 #18241 #22199) +#22210 := (not #22204) +#22211 := (or #22161 #13365 #13510 #22210) +#22212 := (not #22211) +#22291 := (or #22212 #22286) +#22306 := (not #22291) +#22041 := (forall (vars (?x775 int)) #22036) +#22302 := (not #22041) +#22307 := (or #12976 #12769 #12760 #12751 #12742 #22297 #22298 #22299 #14996 #13683 #13217 #22161 #13365 #13688 #13740 #22300 #22301 #22303 #22304 #22305 #22302 #22306) +#22308 := (not #22307) +#22313 := (or #12976 #13217 #22308) +#22320 := (not #22313) +#22030 := (forall (vars (?x773 int)) #22025) +#22319 := (not #22030) +#22321 := (or #22319 #22320) +#22322 := (not #22321) +#22327 := (or #22019 #22322) +#22333 := (not #22327) +#22334 := (or #13181 #22333) +#22335 := (not #22334) +#22340 := (or #13181 #22335) +#22346 := (not #22340) +#22347 := (or #12976 #12967 #12958 #12949 #18127 #18136 #22346) +#22348 := (not #22347) +#22353 := (or #18127 #18136 #22348) +#22359 := (not #22353) +#22360 := (or #18127 #18130 #22359) +#22361 := (not #22360) +#22366 := (or #18127 #18130 #22361) +#22372 := (not #22366) +#22373 := (or #13009 #22372) +#22374 := (not #22373) +#22379 := (or #13009 #22374) +#23240 := (iff #22379 #23239) +#23237 := (iff #22374 #23236) +#23234 := (iff #22373 #23233) +#23231 := (iff #22372 #23230) +#23228 := (iff #22366 #23227) +#23225 := (iff #22361 #23224) +#23222 := (iff #22360 #23221) +#23219 := (iff #22359 #23218) +#23216 := (iff #22353 #23215) +#23213 := (iff #22348 #23212) +#23210 := (iff #22347 #23209) +#23207 := (iff #22346 #23206) +#23204 := (iff #22340 #23203) +#23201 := (iff #22335 #23200) +#23198 := (iff #22334 #23197) +#23195 := (iff #22333 #23194) +#23192 := (iff #22327 #23191) +#23189 := (iff #22322 #23188) +#23186 := (iff #22321 #23185) +#23183 := (iff #22320 #23182) +#23180 := (iff #22313 #23179) +#23177 := (iff #22308 #23176) +#23174 := (iff #22307 #23173) +#23171 := (iff #22306 #23170) +#23168 := (iff #22291 #23167) +#23165 := (iff #22286 #23164) +#23162 := (iff #22285 #23161) +#23159 := (iff #22284 #23158) +#23156 := (iff #22278 #23155) +#23153 := (iff #22249 #23152) +#23150 := (iff #22248 #23149) +#23147 := (iff #22247 #23146) +#23144 := (iff #22240 #23141) +#23142 := (iff #22229 #22229) +#23143 := [refl]: #23142 +#23145 := [quant-intro #23143]: #23144 +#23148 := [monotonicity #23145]: #23147 +#23139 := (iff #22246 #23138) +#23136 := (iff #22225 #23133) +#23134 := (iff #22220 #22220) +#23135 := [refl]: #23134 +#23137 := [quant-intro #23135]: #23136 +#23140 := [monotonicity #23137]: #23139 +#23151 := [monotonicity #23140 #23148]: #23150 +#23154 := [monotonicity #23151]: #23153 +#23157 := [monotonicity #23154]: #23156 +#23160 := [monotonicity #23157]: #23159 +#23163 := [monotonicity #23160]: #23162 +#23166 := [monotonicity #23163]: #23165 +#23131 := (iff #22212 #23130) +#23128 := (iff #22211 #23127) +#23125 := (iff #22210 #23124) +#23122 := (iff #22204 #23121) +#23119 := (iff #22199 #23118) +#23116 := (iff #22198 #23115) +#23113 := (iff #22197 #23112) +#23110 := (iff #22191 #23109) +#23107 := (iff #22186 #23106) +#23104 := (iff #22185 #23103) +#23101 := (iff #22184 #23100) +#23098 := (iff #22178 #23097) +#23095 := (iff #22173 #23094) +#23092 := (iff #22172 #23091) +#23059 := (iff #22135 #23058) +#23056 := (iff #22129 #23055) +#23053 := (iff #22124 #23052) +#23050 := (iff #22123 #23049) +#23047 := (iff #22122 #23046) +#23044 := (iff #22114 #23043) +#23041 := (iff #22109 #23040) +#23038 := (iff #22108 #23037) +#23035 := (iff #22107 #23034) +#23032 := (iff #22101 #23031) +#23029 := (iff #22072 #23028) +#23026 := (iff #22071 #23025) +#23023 := (iff #22070 #23022) +#23020 := (iff #22064 #23017) +#23018 := (iff #22059 #22059) +#23019 := [refl]: #23018 +#23021 := [quant-intro #23019]: #23020 +#23024 := [monotonicity #23021]: #23023 +#23027 := [monotonicity #23024]: #23026 +#23030 := [monotonicity #23027]: #23029 +#23033 := [monotonicity #23030]: #23032 +#23036 := [monotonicity #23033]: #23035 +#23039 := [monotonicity #23036]: #23038 +#23042 := [monotonicity #23039]: #23041 +#23045 := [monotonicity #23042]: #23044 +#23048 := [monotonicity #23045]: #23047 +#23051 := [monotonicity #23048]: #23050 +#23054 := [monotonicity #23051]: #23053 +#23057 := [monotonicity #23054]: #23056 +#23060 := [monotonicity #23057]: #23059 +#23093 := [monotonicity #23060]: #23092 +#23096 := [monotonicity #23093]: #23095 +#23089 := (iff #22164 #23088) +#23086 := (iff #22163 #23085) +#23083 := (iff #22162 #23082) +#23080 := (iff #22155 #23079) +#23077 := (iff #22150 #23076) +#23074 := (iff #22149 #23073) +#23071 := (iff #22148 #23070) +#23068 := (iff #22142 #23067) +#23065 := (iff #22137 #23064) +#23062 := (iff #22136 #23061) +#23063 := [monotonicity #23060]: #23062 +#23066 := [monotonicity #23063]: #23065 +#23069 := [monotonicity #23066]: #23068 +#23072 := [monotonicity #23069]: #23071 +#23075 := [monotonicity #23072]: #23074 +#23078 := [monotonicity #23075]: #23077 +#23081 := [monotonicity #23078]: #23080 +#23084 := [monotonicity #23081]: #23083 +#23087 := [monotonicity #23084]: #23086 +#23090 := [monotonicity #23087]: #23089 +#23099 := [monotonicity #23090 #23096]: #23098 +#23102 := [monotonicity #23099]: #23101 +#23105 := [monotonicity #23102]: #23104 +#23108 := [monotonicity #23105]: #23107 +#23111 := [monotonicity #23108]: #23110 +#23114 := [monotonicity #23111]: #23113 +#23117 := [monotonicity #23114]: #23116 +#23120 := [monotonicity #23117]: #23119 +#23123 := [monotonicity #23120]: #23122 +#23126 := [monotonicity #23123]: #23125 +#23129 := [monotonicity #23126]: #23128 +#23132 := [monotonicity #23129]: #23131 +#23169 := [monotonicity #23132 #23166]: #23168 +#23172 := [monotonicity #23169]: #23171 +#23015 := (iff #22302 #23014) +#23012 := (iff #22041 #23009) +#23010 := (iff #22036 #22036) +#23011 := [refl]: #23010 +#23013 := [quant-intro #23011]: #23012 +#23016 := [monotonicity #23013]: #23015 +#23175 := [monotonicity #23016 #23172]: #23174 +#23178 := [monotonicity #23175]: #23177 +#23181 := [monotonicity #23178]: #23180 +#23184 := [monotonicity #23181]: #23183 +#23007 := (iff #22319 #23006) +#23004 := (iff #22030 #23001) +#23002 := (iff #22025 #22025) +#23003 := [refl]: #23002 +#23005 := [quant-intro #23003]: #23004 +#23008 := [monotonicity #23005]: #23007 +#23187 := [monotonicity #23008 #23184]: #23186 +#23190 := [monotonicity #23187]: #23189 +#23193 := [monotonicity #23190]: #23192 +#23196 := [monotonicity #23193]: #23195 +#23199 := [monotonicity #23196]: #23198 +#23202 := [monotonicity #23199]: #23201 +#23205 := [monotonicity #23202]: #23204 +#23208 := [monotonicity #23205]: #23207 +#23211 := [monotonicity #23208]: #23210 +#23214 := [monotonicity #23211]: #23213 +#23217 := [monotonicity #23214]: #23216 +#23220 := [monotonicity #23217]: #23219 +#23223 := [monotonicity #23220]: #23222 +#23226 := [monotonicity #23223]: #23225 +#23229 := [monotonicity #23226]: #23228 +#23232 := [monotonicity #23229]: #23231 +#23235 := [monotonicity #23232]: #23234 +#23238 := [monotonicity #23235]: #23237 +#23241 := [monotonicity #23238]: #23240 +#18778 := (and #18421 #18422) +#18781 := (not #18778) +#18784 := (or #18760 #18773 #18781) +#18787 := (not #18784) +#15730 := (and #3103 #4043 #13540 #14916) +#18444 := (not #15730) +#18447 := (forall (vars (?x778 int)) #18444) +#14159 := (and #4043 #14916) +#14158 := (not #14159) +#15716 := (or #13538 #13552 #14158) +#15721 := (forall (vars (?x776 int)) #15716) +#18451 := (and #15721 #18447) +#18793 := (or #18451 #18787) +#18801 := (and #12008 #12011 #12014 #12017 #13222 #13225 #13510 #18793) +#18630 := (and #18297 #18298) +#18633 := (not #18630) +#18636 := (or #18612 #18625 #18633) +#18639 := (not #18636) +#15617 := (or #13267 #13281 #14158) +#15622 := (forall (vars (?x785 int)) #15617) +#18313 := (not #13310) +#18323 := (and #18313 #15622) +#18645 := (or #18323 #18639) +#18650 := (and #13259 #18645) +#18653 := (or #13264 #18650) +#18661 := (and #3209 #13234 #13243 #13251 #13327 #15609 #18653) +#18666 := (or #18276 #18279 #18661) +#18706 := (and #12548 #12551 #13222 #13225 #13234 #13417 #18666) +#18672 := (and #3194 #3195 #12293 #12302 #12308 #12313 #12316 #13225 #13234 #18666) +#18677 := (or #18238 #18247 #18672) +#18683 := (and #12293 #12296 #18677) +#18688 := (or #18238 #18241 #18683) +#18694 := (and #13222 #13225 #13416 #18688) +#18711 := (or #18694 #18706) +#18717 := (and #12293 #12302 #13222 #13225 #18711) +#18722 := (or #18238 #18247 #18717) +#18728 := (and #12293 #12296 #18722) +#18733 := (or #18238 #18241 #18728) +#18739 := (and #13222 #13225 #13511 #18733) +#18806 := (or #18739 #18801) +#15543 := (or #13703 #13717 #14158) +#15548 := (forall (vars (?x775 int)) #15543) +#18812 := (and #3042 #3170 #3171 #3172 #3173 #3174 #3175 #11989 #11997 #12254 #13218 #13222 #13225 #13689 #13737 #13743 #13765 #15548 #15560 #15577 #15594 #18806) +#18817 := (or #12976 #13217 #18812) +#15529 := (or #13184 #13196 #14158) +#15534 := (forall (vars (?x773 int)) #15529) +#18820 := (and #15534 #18817) +#18533 := (and #18160 #18161) +#18536 := (not #18533) +#18542 := (or #18168 #18169 #18536) +#18547 := (not #18542) +#18823 := (or #18547 #18820) +#18826 := (and #13178 #18823) +#18829 := (or #13181 #18826) +#18835 := (and #3042 #3043 #3044 #3045 #11928 #11937 #18829) +#18840 := (or #18127 #18136 #18835) +#18846 := (and #11928 #11931 #18840) +#18851 := (or #18127 #18130 #18846) +#18854 := (and #11925 #18851) +#18857 := (or #13009 #18854) +#22380 := (iff #18857 #22379) +#22377 := (iff #18854 #22374) +#22369 := (and #11925 #22366) +#22375 := (iff #22369 #22374) +#22376 := [rewrite]: #22375 +#22370 := (iff #18854 #22369) +#22367 := (iff #18851 #22366) +#22364 := (iff #18846 #22361) +#22356 := (and #11928 #11931 #22353) +#22362 := (iff #22356 #22361) +#22363 := [rewrite]: #22362 +#22357 := (iff #18846 #22356) +#22354 := (iff #18840 #22353) +#22351 := (iff #18835 #22348) +#22343 := (and #3042 #3043 #3044 #3045 #11928 #11937 #22340) +#22349 := (iff #22343 #22348) +#22350 := [rewrite]: #22349 +#22344 := (iff #18835 #22343) +#22341 := (iff #18829 #22340) +#22338 := (iff #18826 #22335) +#22330 := (and #13178 #22327) +#22336 := (iff #22330 #22335) +#22337 := [rewrite]: #22336 +#22331 := (iff #18826 #22330) +#22328 := (iff #18823 #22327) +#22325 := (iff #18820 #22322) +#22316 := (and #22030 #22313) +#22323 := (iff #22316 #22322) +#22324 := [rewrite]: #22323 +#22317 := (iff #18820 #22316) +#22314 := (iff #18817 #22313) +#22311 := (iff #18812 #22308) +#22294 := (and #3042 #3170 #3171 #3172 #3173 #3174 #3175 #11989 #11997 #12254 #13218 #13222 #13225 #13689 #13737 #13743 #13765 #22041 #15560 #15577 #15594 #22291) +#22309 := (iff #22294 #22308) +#22310 := [rewrite]: #22309 +#22295 := (iff #18812 #22294) +#22292 := (iff #18806 #22291) +#22289 := (iff #18801 #22286) +#22281 := (and #12008 #12011 #12014 #12017 #13222 #13225 #13510 #22278) +#22287 := (iff #22281 #22286) +#22288 := [rewrite]: #22287 +#22282 := (iff #18801 #22281) +#22279 := (iff #18793 #22278) +#22276 := (iff #18787 #22275) +#22273 := (iff #18784 #22270) +#22256 := (or #22254 #22255) +#22267 := (or #18760 #18773 #22256) +#22271 := (iff #22267 #22270) +#22272 := [rewrite]: #22271 +#22268 := (iff #18784 #22267) +#22265 := (iff #18781 #22256) +#22257 := (not #22256) +#22260 := (not #22257) +#22263 := (iff #22260 #22256) +#22264 := [rewrite]: #22263 +#22261 := (iff #18781 #22260) +#22258 := (iff #18778 #22257) +#22259 := [rewrite]: #22258 +#22262 := [monotonicity #22259]: #22261 +#22266 := [trans #22262 #22264]: #22265 +#22269 := [monotonicity #22266]: #22268 +#22274 := [trans #22269 #22272]: #22273 +#22277 := [monotonicity #22274]: #22276 +#22252 := (iff #18451 #22249) +#22243 := (and #22225 #22240) +#22250 := (iff #22243 #22249) +#22251 := [rewrite]: #22250 +#22244 := (iff #18451 #22243) +#22241 := (iff #18447 #22240) +#22238 := (iff #18444 #22229) +#22230 := (not #22229) +#22233 := (not #22230) +#22236 := (iff #22233 #22229) +#22237 := [rewrite]: #22236 +#22234 := (iff #18444 #22233) +#22231 := (iff #15730 #22230) +#22232 := [rewrite]: #22231 +#22235 := [monotonicity #22232]: #22234 +#22239 := [trans #22235 #22237]: #22238 +#22242 := [quant-intro #22239]: #22241 +#22226 := (iff #15721 #22225) +#22223 := (iff #15716 #22220) +#19933 := (or #4965 #19295) +#22217 := (or #13538 #13552 #19933) +#22221 := (iff #22217 #22220) +#22222 := [rewrite]: #22221 +#22218 := (iff #15716 #22217) +#19942 := (iff #14158 #19933) +#19934 := (not #19933) +#19937 := (not #19934) +#19940 := (iff #19937 #19933) +#19941 := [rewrite]: #19940 +#19938 := (iff #14158 #19937) +#19935 := (iff #14159 #19934) +#19936 := [rewrite]: #19935 +#19939 := [monotonicity #19936]: #19938 +#19943 := [trans #19939 #19941]: #19942 +#22219 := [monotonicity #19943]: #22218 +#22224 := [trans #22219 #22222]: #22223 +#22227 := [quant-intro #22224]: #22226 +#22245 := [monotonicity #22227 #22242]: #22244 +#22253 := [trans #22245 #22251]: #22252 +#22280 := [monotonicity #22253 #22277]: #22279 +#22283 := [monotonicity #22280]: #22282 +#22290 := [trans #22283 #22288]: #22289 +#22215 := (iff #18739 #22212) +#22207 := (and #13222 #13225 #13511 #22204) +#22213 := (iff #22207 #22212) +#22214 := [rewrite]: #22213 +#22208 := (iff #18739 #22207) +#22205 := (iff #18733 #22204) +#22202 := (iff #18728 #22199) +#22194 := (and #12293 #12296 #22191) +#22200 := (iff #22194 #22199) +#22201 := [rewrite]: #22200 +#22195 := (iff #18728 #22194) +#22192 := (iff #18722 #22191) +#22189 := (iff #18717 #22186) +#22181 := (and #12293 #12302 #13222 #13225 #22178) +#22187 := (iff #22181 #22186) +#22188 := [rewrite]: #22187 +#22182 := (iff #18717 #22181) +#22179 := (iff #18711 #22178) +#22176 := (iff #18706 #22173) +#22169 := (and #12548 #12551 #13222 #13225 #13234 #13417 #22129) +#22174 := (iff #22169 #22173) +#22175 := [rewrite]: #22174 +#22170 := (iff #18706 #22169) +#22130 := (iff #18666 #22129) +#22127 := (iff #18661 #22124) +#22117 := (and #3209 #13234 #13243 #13251 #13327 #15609 #22114) +#22125 := (iff #22117 #22124) +#22126 := [rewrite]: #22125 +#22118 := (iff #18661 #22117) +#22115 := (iff #18653 #22114) +#22112 := (iff #18650 #22109) +#22104 := (and #13259 #22101) +#22110 := (iff #22104 #22109) +#22111 := [rewrite]: #22110 +#22105 := (iff #18650 #22104) +#22102 := (iff #18645 #22101) +#22099 := (iff #18639 #22098) +#22096 := (iff #18636 #22093) +#22079 := (or #22077 #22078) +#22090 := (or #18612 #18625 #22079) +#22094 := (iff #22090 #22093) +#22095 := [rewrite]: #22094 +#22091 := (iff #18636 #22090) +#22088 := (iff #18633 #22079) +#22080 := (not #22079) +#22083 := (not #22080) +#22086 := (iff #22083 #22079) +#22087 := [rewrite]: #22086 +#22084 := (iff #18633 #22083) +#22081 := (iff #18630 #22080) +#22082 := [rewrite]: #22081 +#22085 := [monotonicity #22082]: #22084 +#22089 := [trans #22085 #22087]: #22088 +#22092 := [monotonicity #22089]: #22091 +#22097 := [trans #22092 #22095]: #22096 +#22100 := [monotonicity #22097]: #22099 +#22075 := (iff #18323 #22072) +#22067 := (and #22045 #22064) +#22073 := (iff #22067 #22072) +#22074 := [rewrite]: #22073 +#22068 := (iff #18323 #22067) +#22065 := (iff #15622 #22064) +#22062 := (iff #15617 #22059) +#22056 := (or #13267 #13281 #19933) +#22060 := (iff #22056 #22059) +#22061 := [rewrite]: #22060 +#22057 := (iff #15617 #22056) +#22058 := [monotonicity #19943]: #22057 +#22063 := [trans #22058 #22061]: #22062 +#22066 := [quant-intro #22063]: #22065 +#22054 := (iff #18313 #22045) +#22049 := (not #22046) +#22052 := (iff #22049 #22045) +#22053 := [rewrite]: #22052 +#22050 := (iff #18313 #22049) +#22047 := (iff #13310 #22046) +#22048 := [rewrite]: #22047 +#22051 := [monotonicity #22048]: #22050 +#22055 := [trans #22051 #22053]: #22054 +#22069 := [monotonicity #22055 #22066]: #22068 +#22076 := [trans #22069 #22074]: #22075 +#22103 := [monotonicity #22076 #22100]: #22102 +#22106 := [monotonicity #22103]: #22105 +#22113 := [trans #22106 #22111]: #22112 +#22116 := [monotonicity #22113]: #22115 +#22119 := [monotonicity #22116]: #22118 +#22128 := [trans #22119 #22126]: #22127 +#22131 := [monotonicity #22128]: #22130 +#22171 := [monotonicity #22131]: #22170 +#22177 := [trans #22171 #22175]: #22176 +#22167 := (iff #18694 #22164) +#22158 := (and #13222 #13225 #13416 #22155) +#22165 := (iff #22158 #22164) +#22166 := [rewrite]: #22165 +#22159 := (iff #18694 #22158) +#22156 := (iff #18688 #22155) +#22153 := (iff #18683 #22150) +#22145 := (and #12293 #12296 #22142) +#22151 := (iff #22145 #22150) +#22152 := [rewrite]: #22151 +#22146 := (iff #18683 #22145) +#22143 := (iff #18677 #22142) +#22140 := (iff #18672 #22137) +#22132 := (and #3194 #3195 #12293 #12302 #12308 #12313 #12316 #13225 #13234 #22129) +#22138 := (iff #22132 #22137) +#22139 := [rewrite]: #22138 +#22133 := (iff #18672 #22132) +#22134 := [monotonicity #22131]: #22133 +#22141 := [trans #22134 #22139]: #22140 +#22144 := [monotonicity #22141]: #22143 +#22147 := [monotonicity #22144]: #22146 +#22154 := [trans #22147 #22152]: #22153 +#22157 := [monotonicity #22154]: #22156 +#22160 := [monotonicity #22157]: #22159 +#22168 := [trans #22160 #22166]: #22167 +#22180 := [monotonicity #22168 #22177]: #22179 +#22183 := [monotonicity #22180]: #22182 +#22190 := [trans #22183 #22188]: #22189 +#22193 := [monotonicity #22190]: #22192 +#22196 := [monotonicity #22193]: #22195 +#22203 := [trans #22196 #22201]: #22202 +#22206 := [monotonicity #22203]: #22205 +#22209 := [monotonicity #22206]: #22208 +#22216 := [trans #22209 #22214]: #22215 +#22293 := [monotonicity #22216 #22290]: #22292 +#22042 := (iff #15548 #22041) +#22039 := (iff #15543 #22036) +#22033 := (or #13703 #13717 #19933) +#22037 := (iff #22033 #22036) +#22038 := [rewrite]: #22037 +#22034 := (iff #15543 #22033) +#22035 := [monotonicity #19943]: #22034 +#22040 := [trans #22035 #22038]: #22039 +#22043 := [quant-intro #22040]: #22042 +#22296 := [monotonicity #22043 #22293]: #22295 +#22312 := [trans #22296 #22310]: #22311 +#22315 := [monotonicity #22312]: #22314 +#22031 := (iff #15534 #22030) +#22028 := (iff #15529 #22025) +#22022 := (or #13184 #13196 #19933) +#22026 := (iff #22022 #22025) +#22027 := [rewrite]: #22026 +#22023 := (iff #15529 #22022) +#22024 := [monotonicity #19943]: #22023 +#22029 := [trans #22024 #22027]: #22028 +#22032 := [quant-intro #22029]: #22031 +#22318 := [monotonicity #22032 #22315]: #22317 +#22326 := [trans #22318 #22324]: #22325 +#22020 := (iff #18547 #22019) +#22017 := (iff #18542 #22014) +#22000 := (or #21998 #21999) +#22011 := (or #18168 #18169 #22000) +#22015 := (iff #22011 #22014) +#22016 := [rewrite]: #22015 +#22012 := (iff #18542 #22011) +#22009 := (iff #18536 #22000) +#22001 := (not #22000) +#22004 := (not #22001) +#22007 := (iff #22004 #22000) +#22008 := [rewrite]: #22007 +#22005 := (iff #18536 #22004) +#22002 := (iff #18533 #22001) +#22003 := [rewrite]: #22002 +#22006 := [monotonicity #22003]: #22005 +#22010 := [trans #22006 #22008]: #22009 +#22013 := [monotonicity #22010]: #22012 +#22018 := [trans #22013 #22016]: #22017 +#22021 := [monotonicity #22018]: #22020 +#22329 := [monotonicity #22021 #22326]: #22328 +#22332 := [monotonicity #22329]: #22331 +#22339 := [trans #22332 #22337]: #22338 +#22342 := [monotonicity #22339]: #22341 +#22345 := [monotonicity #22342]: #22344 +#22352 := [trans #22345 #22350]: #22351 +#22355 := [monotonicity #22352]: #22354 +#22358 := [monotonicity #22355]: #22357 +#22365 := [trans #22358 #22363]: #22364 +#22368 := [monotonicity #22365]: #22367 +#22371 := [monotonicity #22368]: #22370 +#22378 := [trans #22371 #22376]: #22377 +#22381 := [monotonicity #22378]: #22380 +#18423 := (and #18422 #18421) +#18424 := (not #18423) +#18427 := (+ #18426 #13550) +#18428 := (<= #18427 0::int) +#18429 := (+ ?x776!15 #13151) +#18430 := (>= #18429 0::int) +#18431 := (or #18430 #18428 #18424) +#18432 := (not #18431) +#18455 := (or #18432 #18451) +#18208 := (not #13230) +#18415 := (not #12052) +#18412 := (not #12061) +#18409 := (not #12070) +#18406 := (not #12079) +#18459 := (and #18406 #18409 #18412 #18415 #18208 #13514 #18455) +#15645 := (and #13243 #15609) +#15648 := (not #15645) +#18339 := (not #15648) +#18299 := (and #18298 #18297) +#18300 := (not #18299) +#18303 := (+ #18302 #13279) +#18304 := (<= #18303 0::int) +#18305 := (+ ?x785!14 #13260) +#18306 := (>= #18305 0::int) +#18307 := (or #18306 #18304 #18300) +#18308 := (not #18307) +#18327 := (or #18308 #18323) +#18293 := (not #13264) +#18331 := (and #18293 #18327) +#18335 := (or #13264 #18331) +#18288 := (not #13331) +#18285 := (not #13256) +#18282 := (not #12401) +#18342 := (and #18282 #18285 #18288 #18335 #18339) +#18346 := (or #18276 #18279 #18342) +#18273 := (not #13239) +#18373 := (not #12557) +#18370 := (not #12566) +#18378 := (and #18370 #18373 #18208 #18273 #13422 #18346) +#18270 := (not #13365) +#18267 := (not #12440) +#18264 := (not #12449) +#18261 := (not #12485) +#18250 := (not #12494) +#18258 := (not #12467) +#18255 := (not #12476) +#18350 := (and #18255 #18258 #18250 #18261 #18264 #18267 #18270 #18273 #18346) +#18354 := (or #18238 #18247 #18350) +#18244 := (not #12506) +#18358 := (and #18244 #18354) +#18362 := (or #18238 #18241 #18358) +#18366 := (and #18208 #13416 #18362) +#18382 := (or #18366 #18378) +#18386 := (and #18250 #18208 #18382) +#18390 := (or #18238 #18247 #18386) +#18394 := (and #18244 #18390) +#18398 := (or #18238 #18241 #18394) +#18402 := (and #18208 #13511 #18398) +#18463 := (or #18402 #18459) +#15599 := (and #13765 #15594) +#15602 := (not #15599) +#18233 := (not #15602) +#15582 := (and #13222 #15577) +#15585 := (not #15582) +#18230 := (not #15585) +#15565 := (and #13743 #15560) +#15568 := (not #15565) +#18227 := (not #15568) +#18217 := (not #13786) +#18214 := (not #13740) +#18211 := (not #13700) +#18205 := (not #13683) +#18202 := (not #14996) +#18199 := (not #12733) +#18196 := (not #12742) +#18193 := (not #12751) +#18190 := (not #12760) +#18187 := (not #12769) +#18467 := (and #18187 #18190 #18193 #18196 #18199 #18202 #18205 #18208 #18211 #18214 #18217 #15548 #18227 #18230 #18233 #18463) +#18471 := (or #12976 #13943 #18467) +#18475 := (and #15534 #18471) +#18162 := (and #18161 #18160) +#18163 := (not #18162) +#18170 := (or #18169 #18168 #18163) +#18171 := (not #18170) +#18479 := (or #18171 #18475) +#18156 := (not #13181) +#18483 := (and #18156 #18479) +#18487 := (or #13181 #18483) +#18151 := (not #12985) +#18148 := (not #12949) +#18145 := (not #12958) +#18142 := (not #12967) +#18139 := (not #12976) +#18491 := (and #18139 #18142 #18145 #18148 #18151 #18487) +#18495 := (or #18127 #18136 #18491) +#18133 := (not #12997) +#18499 := (and #18133 #18495) +#18503 := (or #18127 #18130 #18499) +#18124 := (not #13009) +#18507 := (and #18124 #18503) +#18511 := (or #13009 #18507) +#18858 := (iff #18511 #18857) +#18855 := (iff #18507 #18854) +#18852 := (iff #18503 #18851) +#18849 := (iff #18499 #18846) +#18843 := (and #11934 #18840) +#18847 := (iff #18843 #18846) +#18848 := [rewrite]: #18847 +#18844 := (iff #18499 #18843) +#18841 := (iff #18495 #18840) +#18838 := (iff #18491 #18835) +#18832 := (and #3042 #3043 #3044 #3045 #11940 #18829) +#18836 := (iff #18832 #18835) +#18837 := [rewrite]: #18836 +#18833 := (iff #18491 #18832) +#18830 := (iff #18487 #18829) +#18827 := (iff #18483 #18826) +#18824 := (iff #18479 #18823) +#18821 := (iff #18475 #18820) +#18818 := (iff #18471 #18817) +#18815 := (iff #18467 #18812) +#18809 := (and #3170 #3171 #3172 #3173 #3176 #11997 #12254 #13227 #13695 #13737 #13781 #15548 #15565 #15582 #15599 #18806) +#18813 := (iff #18809 #18812) +#18814 := [rewrite]: #18813 +#18810 := (iff #18467 #18809) +#18807 := (iff #18463 #18806) +#18804 := (iff #18459 #18801) +#18798 := (and #12008 #12011 #12014 #12017 #13227 #13510 #18793) +#18802 := (iff #18798 #18801) +#18803 := [rewrite]: #18802 +#18799 := (iff #18459 #18798) +#18796 := (iff #18455 #18793) +#18790 := (or #18787 #18451) +#18794 := (iff #18790 #18793) +#18795 := [rewrite]: #18794 +#18791 := (iff #18455 #18790) +#18788 := (iff #18432 #18787) +#18785 := (iff #18431 #18784) +#18782 := (iff #18424 #18781) +#18779 := (iff #18423 #18778) +#18780 := [rewrite]: #18779 +#18783 := [monotonicity #18780]: #18782 +#18776 := (iff #18428 #18773) +#18765 := (+ #13550 #18426) +#18768 := (<= #18765 0::int) +#18774 := (iff #18768 #18773) +#18775 := [rewrite]: #18774 +#18769 := (iff #18428 #18768) +#18766 := (= #18427 #18765) +#18767 := [rewrite]: #18766 +#18770 := [monotonicity #18767]: #18769 +#18777 := [trans #18770 #18775]: #18776 +#18763 := (iff #18430 #18760) +#18752 := (+ #13151 ?x776!15) +#18755 := (>= #18752 0::int) +#18761 := (iff #18755 #18760) +#18762 := [rewrite]: #18761 +#18756 := (iff #18430 #18755) +#18753 := (= #18429 #18752) +#18754 := [rewrite]: #18753 +#18757 := [monotonicity #18754]: #18756 +#18764 := [trans #18757 #18762]: #18763 +#18786 := [monotonicity #18764 #18777 #18783]: #18785 +#18789 := [monotonicity #18786]: #18788 +#18792 := [monotonicity #18789]: #18791 +#18797 := [trans #18792 #18795]: #18796 +#18564 := (iff #18208 #13227) +#18565 := [rewrite]: #18564 +#18750 := (iff #18415 #12017) +#18751 := [rewrite]: #18750 +#18748 := (iff #18412 #12014) +#18749 := [rewrite]: #18748 +#18746 := (iff #18409 #12011) +#18747 := [rewrite]: #18746 +#18744 := (iff #18406 #12008) +#18745 := [rewrite]: #18744 +#18800 := [monotonicity #18745 #18747 #18749 #18751 #18565 #13518 #18797]: #18799 +#18805 := [trans #18800 #18803]: #18804 +#18742 := (iff #18402 #18739) +#18736 := (and #13227 #13511 #18733) +#18740 := (iff #18736 #18739) +#18741 := [rewrite]: #18740 +#18737 := (iff #18402 #18736) +#18734 := (iff #18398 #18733) +#18731 := (iff #18394 #18728) +#18725 := (and #12299 #18722) +#18729 := (iff #18725 #18728) +#18730 := [rewrite]: #18729 +#18726 := (iff #18394 #18725) +#18723 := (iff #18390 #18722) +#18720 := (iff #18386 #18717) +#18714 := (and #12305 #13227 #18711) +#18718 := (iff #18714 #18717) +#18719 := [rewrite]: #18718 +#18715 := (iff #18386 #18714) +#18712 := (iff #18382 #18711) +#18709 := (iff #18378 #18706) +#18703 := (and #12548 #12551 #13227 #13236 #13417 #18666) +#18707 := (iff #18703 #18706) +#18708 := [rewrite]: #18707 +#18704 := (iff #18378 #18703) +#18667 := (iff #18346 #18666) +#18664 := (iff #18342 #18661) +#18658 := (and #3209 #13253 #13327 #18653 #15645) +#18662 := (iff #18658 #18661) +#18663 := [rewrite]: #18662 +#18659 := (iff #18342 #18658) +#18656 := (iff #18339 #15645) +#18657 := [rewrite]: #18656 +#18654 := (iff #18335 #18653) +#18651 := (iff #18331 #18650) +#18648 := (iff #18327 #18645) +#18642 := (or #18639 #18323) +#18646 := (iff #18642 #18645) +#18647 := [rewrite]: #18646 +#18643 := (iff #18327 #18642) +#18640 := (iff #18308 #18639) +#18637 := (iff #18307 #18636) +#18634 := (iff #18300 #18633) +#18631 := (iff #18299 #18630) +#18632 := [rewrite]: #18631 +#18635 := [monotonicity #18632]: #18634 +#18628 := (iff #18304 #18625) +#18617 := (+ #13279 #18302) +#18620 := (<= #18617 0::int) +#18626 := (iff #18620 #18625) +#18627 := [rewrite]: #18626 +#18621 := (iff #18304 #18620) +#18618 := (= #18303 #18617) +#18619 := [rewrite]: #18618 +#18622 := [monotonicity #18619]: #18621 +#18629 := [trans #18622 #18627]: #18628 +#18615 := (iff #18306 #18612) +#18604 := (+ #13260 ?x785!14) +#18607 := (>= #18604 0::int) +#18613 := (iff #18607 #18612) +#18614 := [rewrite]: #18613 +#18608 := (iff #18306 #18607) +#18605 := (= #18305 #18604) +#18606 := [rewrite]: #18605 +#18609 := [monotonicity #18606]: #18608 +#18616 := [trans #18609 #18614]: #18615 +#18638 := [monotonicity #18616 #18629 #18635]: #18637 +#18641 := [monotonicity #18638]: #18640 +#18644 := [monotonicity #18641]: #18643 +#18649 := [trans #18644 #18647]: #18648 +#18602 := (iff #18293 #13259) +#18603 := [rewrite]: #18602 +#18652 := [monotonicity #18603 #18649]: #18651 +#18655 := [monotonicity #18652]: #18654 +#18600 := (iff #18288 #13327) +#18601 := [rewrite]: #18600 +#18598 := (iff #18285 #13253) +#18599 := [rewrite]: #18598 +#18596 := (iff #18282 #3209) +#18597 := [rewrite]: #18596 +#18660 := [monotonicity #18597 #18599 #18601 #18655 #18657]: #18659 +#18665 := [trans #18660 #18663]: #18664 +#18668 := [monotonicity #18665]: #18667 +#18594 := (iff #18273 #13236) +#18595 := [rewrite]: #18594 +#18701 := (iff #18373 #12551) +#18702 := [rewrite]: #18701 +#18699 := (iff #18370 #12548) +#18700 := [rewrite]: #18699 +#18705 := [monotonicity #18700 #18702 #18565 #18595 #13426 #18668]: #18704 +#18710 := [trans #18705 #18708]: #18709 +#18697 := (iff #18366 #18694) +#18691 := (and #13227 #13416 #18688) +#18695 := (iff #18691 #18694) +#18696 := [rewrite]: #18695 +#18692 := (iff #18366 #18691) +#18689 := (iff #18362 #18688) +#18686 := (iff #18358 #18683) +#18680 := (and #12299 #18677) +#18684 := (iff #18680 #18683) +#18685 := [rewrite]: #18684 +#18681 := (iff #18358 #18680) +#18678 := (iff #18354 #18677) +#18675 := (iff #18350 #18672) +#18669 := (and #3194 #3195 #12305 #12308 #12313 #12316 #13225 #13236 #18666) +#18673 := (iff #18669 #18672) +#18674 := [rewrite]: #18673 +#18670 := (iff #18350 #18669) +#18592 := (iff #18270 #13225) +#18593 := [rewrite]: #18592 +#18590 := (iff #18267 #12316) +#18591 := [rewrite]: #18590 +#18588 := (iff #18264 #12313) +#18589 := [rewrite]: #18588 +#18586 := (iff #18261 #12308) +#18587 := [rewrite]: #18586 +#18580 := (iff #18250 #12305) +#18581 := [rewrite]: #18580 +#18584 := (iff #18258 #3195) +#18585 := [rewrite]: #18584 +#18582 := (iff #18255 #3194) +#18583 := [rewrite]: #18582 +#18671 := [monotonicity #18583 #18585 #18581 #18587 #18589 #18591 #18593 #18595 #18668]: #18670 +#18676 := [trans #18671 #18674]: #18675 +#18679 := [monotonicity #18676]: #18678 +#18578 := (iff #18244 #12299) +#18579 := [rewrite]: #18578 +#18682 := [monotonicity #18579 #18679]: #18681 +#18687 := [trans #18682 #18685]: #18686 +#18690 := [monotonicity #18687]: #18689 +#18693 := [monotonicity #18565 #18690]: #18692 +#18698 := [trans #18693 #18696]: #18697 +#18713 := [monotonicity #18698 #18710]: #18712 +#18716 := [monotonicity #18581 #18565 #18713]: #18715 +#18721 := [trans #18716 #18719]: #18720 +#18724 := [monotonicity #18721]: #18723 +#18727 := [monotonicity #18579 #18724]: #18726 +#18732 := [trans #18727 #18730]: #18731 +#18735 := [monotonicity #18732]: #18734 +#18738 := [monotonicity #18565 #18735]: #18737 +#18743 := [trans #18738 #18741]: #18742 +#18808 := [monotonicity #18743 #18805]: #18807 +#18576 := (iff #18233 #15599) +#18577 := [rewrite]: #18576 +#18574 := (iff #18230 #15582) +#18575 := [rewrite]: #18574 +#18572 := (iff #18227 #15565) +#18573 := [rewrite]: #18572 +#18570 := (iff #18217 #13781) +#18571 := [rewrite]: #18570 +#18568 := (iff #18214 #13737) +#18569 := [rewrite]: #18568 +#18566 := (iff #18211 #13695) +#18567 := [rewrite]: #18566 +#18562 := (iff #18205 #12254) +#18563 := [rewrite]: #18562 +#18560 := (iff #18202 #11997) +#18561 := [rewrite]: #18560 +#18558 := (iff #18199 #3176) +#18559 := [rewrite]: #18558 +#18556 := (iff #18196 #3173) +#18557 := [rewrite]: #18556 +#18554 := (iff #18193 #3172) +#18555 := [rewrite]: #18554 +#18552 := (iff #18190 #3171) +#18553 := [rewrite]: #18552 +#18550 := (iff #18187 #3170) +#18551 := [rewrite]: #18550 +#18811 := [monotonicity #18551 #18553 #18555 #18557 #18559 #18561 #18563 #18565 #18567 #18569 #18571 #18573 #18575 #18577 #18808]: #18810 +#18816 := [trans #18811 #18814]: #18815 +#18819 := [monotonicity #13947 #18816]: #18818 +#18822 := [monotonicity #18819]: #18821 +#18548 := (iff #18171 #18547) +#18545 := (iff #18170 #18542) +#18539 := (or #18169 #18168 #18536) +#18543 := (iff #18539 #18542) +#18544 := [rewrite]: #18543 +#18540 := (iff #18170 #18539) +#18537 := (iff #18163 #18536) +#18534 := (iff #18162 #18533) +#18535 := [rewrite]: #18534 +#18538 := [monotonicity #18535]: #18537 +#18541 := [monotonicity #18538]: #18540 +#18546 := [trans #18541 #18544]: #18545 +#18549 := [monotonicity #18546]: #18548 +#18825 := [monotonicity #18549 #18822]: #18824 +#18531 := (iff #18156 #13178) +#18532 := [rewrite]: #18531 +#18828 := [monotonicity #18532 #18825]: #18827 +#18831 := [monotonicity #18828]: #18830 +#18529 := (iff #18151 #11940) +#18530 := [rewrite]: #18529 +#18527 := (iff #18148 #3045) +#18528 := [rewrite]: #18527 +#18525 := (iff #18145 #3044) +#18526 := [rewrite]: #18525 +#18523 := (iff #18142 #3043) +#18524 := [rewrite]: #18523 +#18521 := (iff #18139 #3042) +#18522 := [rewrite]: #18521 +#18834 := [monotonicity #18522 #18524 #18526 #18528 #18530 #18831]: #18833 +#18839 := [trans #18834 #18837]: #18838 +#18842 := [monotonicity #18839]: #18841 +#18519 := (iff #18133 #11934) +#18520 := [rewrite]: #18519 +#18845 := [monotonicity #18520 #18842]: #18844 +#18850 := [trans #18845 #18848]: #18849 +#18853 := [monotonicity #18850]: #18852 +#18517 := (iff #18124 #11925) +#18518 := [rewrite]: #18517 +#18856 := [monotonicity #18518 #18853]: #18855 +#18859 := [monotonicity #18856]: #18858 +#15735 := (exists (vars (?x778 int)) #15730) +#15724 := (not #15721) +#15738 := (or #15724 #15735) +#15741 := (and #15721 #15738) +#15744 := (or #12079 #12070 #12061 #12052 #13230 #13511 #15741) +#15625 := (not #15622) +#15631 := (or #13310 #15625) +#15636 := (and #15622 #15631) +#15639 := (or #13264 #15636) +#15642 := (and #13259 #15639) +#15654 := (or #12401 #13256 #13331 #15642 #15648) +#15659 := (and #13243 #15609 #15654) +#15685 := (or #12566 #12557 #13230 #13239 #13416 #15659) +#15662 := (or #12476 #12467 #12494 #12485 #12449 #12440 #13365 #13239 #15659) +#15665 := (and #12293 #12302 #15662) +#15668 := (or #12506 #15665) +#15671 := (and #12293 #12296 #15668) +#15677 := (or #13230 #13417 #15671) +#15690 := (and #15677 #15685) +#15693 := (or #12494 #13230 #15690) +#15696 := (and #12293 #12302 #15693) +#15699 := (or #12506 #15696) +#15702 := (and #12293 #12296 #15699) +#15708 := (or #13230 #13510 #15702) +#15747 := (and #15708 #15744) +#15551 := (not #15548) +#15753 := (or #12769 #12760 #12751 #12742 #12733 #14996 #13683 #13230 #13700 #13740 #13786 #15551 #15568 #15585 #15602 #15747) +#15758 := (and #3042 #13218 #15753) +#15537 := (not #15534) +#15761 := (or #15537 #15758) +#15764 := (and #15534 #15761) +#15767 := (or #13181 #15764) +#15770 := (and #13178 #15767) +#15773 := (or #12976 #12967 #12958 #12949 #12985 #15770) +#15776 := (and #11928 #11937 #15773) +#15779 := (or #12997 #15776) +#15782 := (and #11928 #11931 #15779) +#15785 := (or #13009 #15782) +#15788 := (and #11925 #15785) +#15791 := (not #15788) +#18512 := (~ #15791 #18511) +#18508 := (not #15785) +#18509 := (~ #18508 #18507) +#18504 := (not #15782) +#18505 := (~ #18504 #18503) +#18500 := (not #15779) +#18501 := (~ #18500 #18499) +#18496 := (not #15776) +#18497 := (~ #18496 #18495) +#18492 := (not #15773) +#18493 := (~ #18492 #18491) +#18488 := (not #15770) +#18489 := (~ #18488 #18487) +#18484 := (not #15767) +#18485 := (~ #18484 #18483) +#18480 := (not #15764) +#18481 := (~ #18480 #18479) +#18476 := (not #15761) +#18477 := (~ #18476 #18475) +#18472 := (not #15758) +#18473 := (~ #18472 #18471) +#18468 := (not #15753) +#18469 := (~ #18468 #18467) +#18464 := (not #15747) +#18465 := (~ #18464 #18463) +#18460 := (not #15744) +#18461 := (~ #18460 #18459) +#18456 := (not #15741) +#18457 := (~ #18456 #18455) +#18452 := (not #15738) +#18453 := (~ #18452 #18451) +#18448 := (not #15735) +#18449 := (~ #18448 #18447) +#18445 := (~ #18444 #18444) +#18446 := [refl]: #18445 +#18450 := [nnf-neg #18446]: #18449 +#18441 := (not #15724) +#18442 := (~ #18441 #15721) +#18439 := (~ #15721 #15721) +#18437 := (~ #15716 #15716) +#18438 := [refl]: #18437 +#18440 := [nnf-pos #18438]: #18439 +#18443 := [nnf-neg #18440]: #18442 +#18454 := [nnf-neg #18443 #18450]: #18453 +#18433 := (~ #15724 #18432) +#18434 := [sk]: #18433 +#18458 := [nnf-neg #18434 #18454]: #18457 +#18418 := (~ #13514 #13514) +#18419 := [refl]: #18418 +#18209 := (~ #18208 #18208) +#18210 := [refl]: #18209 +#18416 := (~ #18415 #18415) +#18417 := [refl]: #18416 +#18413 := (~ #18412 #18412) +#18414 := [refl]: #18413 +#18410 := (~ #18409 #18409) +#18411 := [refl]: #18410 +#18407 := (~ #18406 #18406) +#18408 := [refl]: #18407 +#18462 := [nnf-neg #18408 #18411 #18414 #18417 #18210 #18419 #18458]: #18461 +#18403 := (not #15708) +#18404 := (~ #18403 #18402) +#18399 := (not #15702) +#18400 := (~ #18399 #18398) +#18395 := (not #15699) +#18396 := (~ #18395 #18394) +#18391 := (not #15696) +#18392 := (~ #18391 #18390) +#18387 := (not #15693) +#18388 := (~ #18387 #18386) +#18383 := (not #15690) +#18384 := (~ #18383 #18382) +#18379 := (not #15685) +#18380 := (~ #18379 #18378) +#18347 := (not #15659) +#18348 := (~ #18347 #18346) +#18343 := (not #15654) +#18344 := (~ #18343 #18342) +#18340 := (~ #18339 #18339) +#18341 := [refl]: #18340 +#18336 := (not #15642) +#18337 := (~ #18336 #18335) +#18332 := (not #15639) +#18333 := (~ #18332 #18331) +#18328 := (not #15636) +#18329 := (~ #18328 #18327) +#18324 := (not #15631) +#18325 := (~ #18324 #18323) +#18320 := (not #15625) +#18321 := (~ #18320 #15622) +#18318 := (~ #15622 #15622) +#18316 := (~ #15617 #15617) +#18317 := [refl]: #18316 +#18319 := [nnf-pos #18317]: #18318 +#18322 := [nnf-neg #18319]: #18321 +#18314 := (~ #18313 #18313) +#18315 := [refl]: #18314 +#18326 := [nnf-neg #18315 #18322]: #18325 +#18309 := (~ #15625 #18308) +#18310 := [sk]: #18309 +#18330 := [nnf-neg #18310 #18326]: #18329 +#18294 := (~ #18293 #18293) +#18295 := [refl]: #18294 +#18334 := [nnf-neg #18295 #18330]: #18333 +#18291 := (~ #13264 #13264) +#18292 := [refl]: #18291 +#18338 := [nnf-neg #18292 #18334]: #18337 +#18289 := (~ #18288 #18288) +#18290 := [refl]: #18289 +#18286 := (~ #18285 #18285) +#18287 := [refl]: #18286 +#18283 := (~ #18282 #18282) +#18284 := [refl]: #18283 +#18345 := [nnf-neg #18284 #18287 #18290 #18338 #18341]: #18344 +#18280 := (~ #18279 #18279) +#18281 := [refl]: #18280 +#18277 := (~ #18276 #18276) +#18278 := [refl]: #18277 +#18349 := [nnf-neg #18278 #18281 #18345]: #18348 +#18376 := (~ #13422 #13422) +#18377 := [refl]: #18376 +#18274 := (~ #18273 #18273) +#18275 := [refl]: #18274 +#18374 := (~ #18373 #18373) +#18375 := [refl]: #18374 +#18371 := (~ #18370 #18370) +#18372 := [refl]: #18371 +#18381 := [nnf-neg #18372 #18375 #18210 #18275 #18377 #18349]: #18380 +#18367 := (not #15677) +#18368 := (~ #18367 #18366) +#18363 := (not #15671) +#18364 := (~ #18363 #18362) +#18359 := (not #15668) +#18360 := (~ #18359 #18358) +#18355 := (not #15665) +#18356 := (~ #18355 #18354) +#18351 := (not #15662) +#18352 := (~ #18351 #18350) +#18271 := (~ #18270 #18270) +#18272 := [refl]: #18271 +#18268 := (~ #18267 #18267) +#18269 := [refl]: #18268 +#18265 := (~ #18264 #18264) +#18266 := [refl]: #18265 +#18262 := (~ #18261 #18261) +#18263 := [refl]: #18262 +#18251 := (~ #18250 #18250) +#18252 := [refl]: #18251 +#18259 := (~ #18258 #18258) +#18260 := [refl]: #18259 +#18256 := (~ #18255 #18255) +#18257 := [refl]: #18256 +#18353 := [nnf-neg #18257 #18260 #18252 #18263 #18266 #18269 #18272 #18275 #18349]: #18352 +#18248 := (~ #18247 #18247) +#18249 := [refl]: #18248 +#18239 := (~ #18238 #18238) +#18240 := [refl]: #18239 +#18357 := [nnf-neg #18240 #18249 #18353]: #18356 +#18245 := (~ #18244 #18244) +#18246 := [refl]: #18245 +#18361 := [nnf-neg #18246 #18357]: #18360 +#18242 := (~ #18241 #18241) +#18243 := [refl]: #18242 +#18365 := [nnf-neg #18240 #18243 #18361]: #18364 +#18253 := (~ #13416 #13416) +#18254 := [refl]: #18253 +#18369 := [nnf-neg #18210 #18254 #18365]: #18368 +#18385 := [nnf-neg #18369 #18381]: #18384 +#18389 := [nnf-neg #18252 #18210 #18385]: #18388 +#18393 := [nnf-neg #18240 #18249 #18389]: #18392 +#18397 := [nnf-neg #18246 #18393]: #18396 +#18401 := [nnf-neg #18240 #18243 #18397]: #18400 +#18236 := (~ #13511 #13511) +#18237 := [refl]: #18236 +#18405 := [nnf-neg #18210 #18237 #18401]: #18404 +#18466 := [nnf-neg #18405 #18462]: #18465 +#18234 := (~ #18233 #18233) +#18235 := [refl]: #18234 +#18231 := (~ #18230 #18230) +#18232 := [refl]: #18231 +#18228 := (~ #18227 #18227) +#18229 := [refl]: #18228 +#18224 := (not #15551) +#18225 := (~ #18224 #15548) +#18222 := (~ #15548 #15548) +#18220 := (~ #15543 #15543) +#18221 := [refl]: #18220 +#18223 := [nnf-pos #18221]: #18222 +#18226 := [nnf-neg #18223]: #18225 +#18218 := (~ #18217 #18217) +#18219 := [refl]: #18218 +#18215 := (~ #18214 #18214) +#18216 := [refl]: #18215 +#18212 := (~ #18211 #18211) +#18213 := [refl]: #18212 +#18206 := (~ #18205 #18205) +#18207 := [refl]: #18206 +#18203 := (~ #18202 #18202) +#18204 := [refl]: #18203 +#18200 := (~ #18199 #18199) +#18201 := [refl]: #18200 +#18197 := (~ #18196 #18196) +#18198 := [refl]: #18197 +#18194 := (~ #18193 #18193) +#18195 := [refl]: #18194 +#18191 := (~ #18190 #18190) +#18192 := [refl]: #18191 +#18188 := (~ #18187 #18187) +#18189 := [refl]: #18188 +#18470 := [nnf-neg #18189 #18192 #18195 #18198 #18201 #18204 #18207 #18210 #18213 #18216 #18219 #18226 #18229 #18232 #18235 #18466]: #18469 +#18185 := (~ #13943 #13943) +#18186 := [refl]: #18185 +#18183 := (~ #12976 #12976) +#18184 := [refl]: #18183 +#18474 := [nnf-neg #18184 #18186 #18470]: #18473 +#18180 := (not #15537) +#18181 := (~ #18180 #15534) +#18178 := (~ #15534 #15534) +#18176 := (~ #15529 #15529) +#18177 := [refl]: #18176 +#18179 := [nnf-pos #18177]: #18178 +#18182 := [nnf-neg #18179]: #18181 +#18478 := [nnf-neg #18182 #18474]: #18477 +#18172 := (~ #15537 #18171) +#18173 := [sk]: #18172 +#18482 := [nnf-neg #18173 #18478]: #18481 +#18157 := (~ #18156 #18156) +#18158 := [refl]: #18157 +#18486 := [nnf-neg #18158 #18482]: #18485 +#18154 := (~ #13181 #13181) +#18155 := [refl]: #18154 +#18490 := [nnf-neg #18155 #18486]: #18489 +#18152 := (~ #18151 #18151) +#18153 := [refl]: #18152 +#18149 := (~ #18148 #18148) +#18150 := [refl]: #18149 +#18146 := (~ #18145 #18145) +#18147 := [refl]: #18146 +#18143 := (~ #18142 #18142) +#18144 := [refl]: #18143 +#18140 := (~ #18139 #18139) +#18141 := [refl]: #18140 +#18494 := [nnf-neg #18141 #18144 #18147 #18150 #18153 #18490]: #18493 +#18137 := (~ #18136 #18136) +#18138 := [refl]: #18137 +#18128 := (~ #18127 #18127) +#18129 := [refl]: #18128 +#18498 := [nnf-neg #18129 #18138 #18494]: #18497 +#18134 := (~ #18133 #18133) +#18135 := [refl]: #18134 +#18502 := [nnf-neg #18135 #18498]: #18501 +#18131 := (~ #18130 #18130) +#18132 := [refl]: #18131 +#18506 := [nnf-neg #18129 #18132 #18502]: #18505 +#18125 := (~ #18124 #18124) +#18126 := [refl]: #18125 +#18510 := [nnf-neg #18126 #18506]: #18509 +#18122 := (~ #13009 #13009) +#18123 := [refl]: #18122 +#18513 := [nnf-neg #18123 #18510]: #18512 +#15021 := (or #12079 #12070 #12061 #12052 #13230 #13511 #13597) +#15026 := (and #13533 #15021) +#15032 := (or #12769 #12760 #12751 #12742 #12733 #14996 #13683 #13230 #13700 #13734 #13740 #13752 #13762 #13775 #13786 #15026) +#15037 := (and #3042 #13218 #15032) +#15040 := (or #13214 #15037) +#15043 := (and #13211 #15040) +#15046 := (or #13181 #15043) +#15049 := (and #13178 #15046) +#15052 := (or #12976 #12967 #12958 #12949 #12985 #15049) +#15055 := (and #11928 #11937 #15052) +#15058 := (or #12997 #15055) +#15061 := (and #11928 #11931 #15058) +#15064 := (or #13009 #15061) +#15067 := (and #11925 #15064) +#15070 := (not #15067) +#15792 := (iff #15070 #15791) +#15789 := (iff #15067 #15788) +#15786 := (iff #15064 #15785) +#15783 := (iff #15061 #15782) +#15780 := (iff #15058 #15779) +#15777 := (iff #15055 #15776) +#15774 := (iff #15052 #15773) +#15771 := (iff #15049 #15770) +#15768 := (iff #15046 #15767) +#15765 := (iff #15043 #15764) +#15762 := (iff #15040 #15761) +#15759 := (iff #15037 #15758) +#15756 := (iff #15032 #15753) +#15750 := (or #12769 #12760 #12751 #12742 #12733 #14996 #13683 #13230 #13700 #15551 #13740 #15568 #15585 #15602 #13786 #15747) +#15754 := (iff #15750 #15753) +#15755 := [rewrite]: #15754 +#15751 := (iff #15032 #15750) +#15748 := (iff #15026 #15747) +#15745 := (iff #15021 #15744) +#15742 := (iff #13597 #15741) +#15739 := (iff #13592 #15738) +#15736 := (iff #13583 #15735) +#15733 := (iff #13578 #15730) +#15727 := (and #3103 #4043 #14916 #13540) +#15731 := (iff #15727 #15730) +#15732 := [rewrite]: #15731 +#15728 := (iff #13578 #15727) +#14911 := (iff #4357 #14916) +#14932 := -4294967295::int +#14924 := (+ -4294967295::int #161) +#14917 := (<= #14924 0::int) +#14913 := (iff #14917 #14916) +#14914 := [rewrite]: #14913 +#14918 := (iff #4357 #14917) +#14919 := (= #4356 #14924) +#14925 := (+ #161 -4294967295::int) +#14921 := (= #14925 #14924) +#14922 := [rewrite]: #14921 +#14926 := (= #4356 #14925) +#14927 := (= #4355 -4294967295::int) +#14933 := (* -1::int 4294967295::int) +#14929 := (= #14933 -4294967295::int) +#14930 := [rewrite]: #14929 +#14934 := (= #4355 #14933) +#7478 := (= uf_76 4294967295::int) #947 := 65536::int #1322 := (* 65536::int 65536::int) #1327 := (- #1322 1::int) #1328 := (= uf_76 #1327) -#7477 := (iff #1328 #7476) -#7474 := (= #1327 4294967295::int) +#7479 := (iff #1328 #7478) +#7476 := (= #1327 4294967295::int) #1010 := 4294967296::int -#7467 := (- 4294967296::int 1::int) -#7472 := (= #7467 4294967295::int) -#7473 := [rewrite]: #7472 -#7469 := (= #1327 #7467) -#7438 := (= #1322 4294967296::int) -#7439 := [rewrite]: #7438 -#7470 := [monotonicity #7439]: #7469 -#7475 := [trans #7470 #7473]: #7474 -#7478 := [monotonicity #7475]: #7477 -#7466 := [asserted]: #1328 -#7481 := [mp #7466 #7478]: #7476 -#14393 := [monotonicity #7481]: #14396 -#14390 := [trans #14393 #14392]: #14389 -#14385 := [monotonicity #14390]: #14388 -#14382 := [trans #14385 #14384]: #14381 -#14377 := [monotonicity #14382]: #14380 -#14374 := [trans #14377 #14376]: #14373 -#15259 := [monotonicity #14374]: #15258 -#15264 := [trans #15259 #15262]: #15263 -#15267 := [quant-intro #15264]: #15266 -#15255 := (iff #13314 #15254) -#15252 := (iff #13294 #15251) -#15249 := (iff #13291 #15246) -#15243 := (or #15240 #13288) -#15247 := (iff #15243 #15246) -#15248 := [rewrite]: #15247 -#15244 := (iff #13291 #15243) -#15241 := (iff #13283 #15240) -#15238 := (iff #13278 #15235) -#15232 := (and #4041 #14378 #13272) -#15236 := (iff #15232 #15235) -#15237 := [rewrite]: #15236 -#15233 := (iff #13278 #15232) -#15234 := [monotonicity #14374]: #15233 -#15239 := [trans #15234 #15237]: #15238 -#15242 := [monotonicity #15239]: #15241 -#15245 := [monotonicity #15242]: #15244 -#15250 := [trans #15245 #15248]: #15249 -#15253 := [quant-intro #15250]: #15252 -#15256 := [monotonicity #15253]: #15255 -#15270 := [monotonicity #15256 #15267]: #15269 -#15273 := [monotonicity #15253 #15270]: #15272 -#15276 := [monotonicity #15273]: #15275 -#15281 := [trans #15276 #15279]: #15280 -#15230 := (iff #13247 #15229) -#15227 := (iff #13242 #15226) -#15224 := (iff #13236 #15223) -#15221 := (iff #13231 #15220) -#15218 := (iff #13225 #15217) -#15215 := (iff #13222 #15214) -#15212 := (iff #13219 #15209) -#15206 := (or #15188 #13216) -#15210 := (iff #15206 #15209) -#15211 := [rewrite]: #15210 -#15207 := (iff #13219 #15206) -#15189 := (iff #13158 #15188) -#15186 := (iff #13152 #15185) -#15183 := (iff #13149 #15182) -#15180 := (iff #13146 #15179) -#15177 := (iff #13143 #15176) -#15174 := (iff #13140 #15171) -#15168 := (or #15165 #13135) -#15172 := (iff #15168 #15171) -#15173 := [rewrite]: #15172 -#15169 := (iff #13140 #15168) -#15166 := (iff #13123 #15165) -#15163 := (iff #13120 #15162) -#15160 := (iff #13117 #15157) -#15154 := (or #15151 #13114) -#15158 := (iff #15154 #15157) -#15159 := [rewrite]: #15158 -#15155 := (iff #13117 #15154) -#15152 := (iff #13109 #15151) -#15149 := (iff #13104 #15146) -#15143 := (and #4041 #14378 #13098) -#15147 := (iff #15143 #15146) -#15148 := [rewrite]: #15147 -#15144 := (iff #13104 #15143) -#15145 := [monotonicity #14374]: #15144 -#15150 := [trans #15145 #15148]: #15149 -#15153 := [monotonicity #15150]: #15152 -#15156 := [monotonicity #15153]: #15155 -#15161 := [trans #15156 #15159]: #15160 -#15164 := [quant-intro #15161]: #15163 -#15167 := [monotonicity #15164]: #15166 -#15170 := [monotonicity #15167]: #15169 -#15175 := [trans #15170 #15173]: #15174 -#15178 := [monotonicity #15164 #15175]: #15177 -#15181 := [monotonicity #15178]: #15180 -#15184 := [monotonicity #15181]: #15183 -#15141 := (iff #13086 #15140) -#15138 := (iff #13081 #15135) -#15132 := (and #3258 #13017 #13051 #15127 #13059 #13061) -#15136 := (iff #15132 #15135) -#15137 := [rewrite]: #15136 -#15133 := (iff #13081 #15132) -#15130 := (iff #13054 #15127) -#15079 := (+ 4294967295::int #12965) -#15123 := (>= #15079 1::int) -#15128 := (iff #15123 #15127) -#15129 := [rewrite]: #15128 -#15124 := (iff #13054 #15123) -#15080 := (= #13055 #15079) -#15081 := [monotonicity #7481]: #15080 -#15125 := [monotonicity #15081]: #15124 -#15131 := [trans #15125 #15129]: #15130 -#15134 := [monotonicity #15131]: #15133 -#15139 := [trans #15134 #15137]: #15138 -#15142 := [monotonicity #15139]: #15141 -#15187 := [monotonicity #15142 #15184]: #15186 -#15190 := [monotonicity #15131 #15187]: #15189 -#15208 := [monotonicity #15190]: #15207 -#15213 := [trans #15208 #15211]: #15212 -#15204 := (iff #13185 #15203) -#15201 := (iff #13180 #15200) -#15198 := (iff #13174 #15197) -#15195 := (iff #13169 #15194) -#15192 := (iff #13163 #15191) -#15193 := [monotonicity #15190]: #15192 -#15196 := [monotonicity #15193]: #15195 -#15199 := [monotonicity #15196]: #15198 -#15202 := [monotonicity #15199]: #15201 -#15205 := [monotonicity #15202]: #15204 -#15216 := [monotonicity #15205 #15213]: #15215 -#15219 := [monotonicity #15216]: #15218 -#15222 := [monotonicity #15219]: #15221 -#15225 := [monotonicity #15222]: #15224 -#15228 := [monotonicity #15225]: #15227 -#15231 := [monotonicity #15228]: #15230 -#15284 := [monotonicity #15231 #15281]: #15283 -#15121 := (iff #13453 #15120) -#15118 := (iff #13448 #15115) -#15112 := (and #3055 #12030 #12741 #12910 #12913 #13359 #15076 #13389 #13392 #15085 #15096 #13402 #15107) -#15116 := (iff #15112 #15115) -#15117 := [rewrite]: #15116 -#15113 := (iff #13448 #15112) -#15110 := (iff #13405 #15107) -#15101 := (+ 255::int #13378) -#15104 := (>= #15101 0::int) -#15108 := (iff #15104 #15107) -#15109 := [rewrite]: #15108 -#15105 := (iff #13405 #15104) -#15102 := (= #13406 #15101) +#7469 := (- 4294967296::int 1::int) +#7474 := (= #7469 4294967295::int) +#7475 := [rewrite]: #7474 +#7471 := (= #1327 #7469) +#7440 := (= #1322 4294967296::int) +#7441 := [rewrite]: #7440 +#7472 := [monotonicity #7441]: #7471 +#7477 := [trans #7472 #7475]: #7476 +#7480 := [monotonicity #7477]: #7479 +#7468 := [asserted]: #1328 +#7483 := [mp #7468 #7480]: #7478 +#14931 := [monotonicity #7483]: #14934 +#14928 := [trans #14931 #14930]: #14927 +#14923 := [monotonicity #14928]: #14926 +#14920 := [trans #14923 #14922]: #14919 +#14915 := [monotonicity #14920]: #14918 +#14912 := [trans #14915 #14914]: #14911 +#15729 := [monotonicity #14912]: #15728 +#15734 := [trans #15729 #15732]: #15733 +#15737 := [quant-intro #15734]: #15736 +#15725 := (iff #13586 #15724) +#15722 := (iff #13566 #15721) +#15719 := (iff #13561 #15716) +#15713 := (or #14158 #13538 #13552) +#15717 := (iff #15713 #15716) +#15718 := [rewrite]: #15717 +#15714 := (iff #13561 #15713) +#14155 := (iff #5579 #14158) +#14160 := (iff #4364 #14159) +#14157 := [monotonicity #14912]: #14160 +#14156 := [monotonicity #14157]: #14155 +#15715 := [monotonicity #14156]: #15714 +#15720 := [trans #15715 #15718]: #15719 +#15723 := [quant-intro #15720]: #15722 +#15726 := [monotonicity #15723]: #15725 +#15740 := [monotonicity #15726 #15737]: #15739 +#15743 := [monotonicity #15723 #15740]: #15742 +#15746 := [monotonicity #15743]: #15745 +#15711 := (iff #13533 #15708) +#15705 := (or #13230 #15702 #13510) +#15709 := (iff #15705 #15708) +#15710 := [rewrite]: #15709 +#15706 := (iff #13533 #15705) +#15703 := (iff #13504 #15702) +#15700 := (iff #13498 #15699) +#15697 := (iff #13493 #15696) +#15694 := (iff #13485 #15693) +#15691 := (iff #13476 #15690) +#15688 := (iff #13471 #15685) +#15682 := (or #12566 #12557 #13230 #13239 #15659 #13416) +#15686 := (iff #15682 #15685) +#15687 := [rewrite]: #15686 +#15683 := (iff #13471 #15682) +#15660 := (iff #13360 #15659) +#15657 := (iff #13352 #15654) +#15651 := (or #12401 #13256 #15642 #13331 #15648) +#15655 := (iff #15651 #15654) +#15656 := [rewrite]: #15655 +#15652 := (iff #13352 #15651) +#15649 := (iff #13337 #15648) +#15646 := (iff #13334 #15645) +#15612 := (iff #13245 #15609) +#15554 := (+ 4294967295::int #13246) +#15605 := (>= #15554 1::int) +#15610 := (iff #15605 #15609) +#15611 := [rewrite]: #15610 +#15606 := (iff #13245 #15605) +#15555 := (= #13247 #15554) +#15556 := [monotonicity #7483]: #15555 +#15607 := [monotonicity #15556]: #15606 +#15613 := [trans #15607 #15611]: #15612 +#15647 := [monotonicity #15613]: #15646 +#15650 := [monotonicity #15647]: #15649 +#15643 := (iff #13324 #15642) +#15640 := (iff #13321 #15639) +#15637 := (iff #13318 #15636) +#15634 := (iff #13315 #15631) +#15628 := (or #15625 #13310) +#15632 := (iff #15628 #15631) +#15633 := [rewrite]: #15632 +#15629 := (iff #13315 #15628) +#15626 := (iff #13298 #15625) +#15623 := (iff #13295 #15622) +#15620 := (iff #13290 #15617) +#15614 := (or #14158 #13267 #13281) +#15618 := (iff #15614 #15617) +#15619 := [rewrite]: #15618 +#15615 := (iff #13290 #15614) +#15616 := [monotonicity #14156]: #15615 +#15621 := [trans #15616 #15619]: #15620 +#15624 := [quant-intro #15621]: #15623 +#15627 := [monotonicity #15624]: #15626 +#15630 := [monotonicity #15627]: #15629 +#15635 := [trans #15630 #15633]: #15634 +#15638 := [monotonicity #15624 #15635]: #15637 +#15641 := [monotonicity #15638]: #15640 +#15644 := [monotonicity #15641]: #15643 +#15653 := [monotonicity #15644 #15650]: #15652 +#15658 := [trans #15653 #15656]: #15657 +#15661 := [monotonicity #15613 #15658]: #15660 +#15684 := [monotonicity #15661]: #15683 +#15689 := [trans #15684 #15687]: #15688 +#15680 := (iff #13441 #15677) +#15674 := (or #13230 #15671 #13417) +#15678 := (iff #15674 #15677) +#15679 := [rewrite]: #15678 +#15675 := (iff #13441 #15674) +#15672 := (iff #13411 #15671) +#15669 := (iff #13405 #15668) +#15666 := (iff #13400 #15665) +#15663 := (iff #13392 #15662) +#15664 := [monotonicity #15661]: #15663 +#15667 := [monotonicity #15664]: #15666 +#15670 := [monotonicity #15667]: #15669 +#15673 := [monotonicity #15670]: #15672 +#15676 := [monotonicity #15673]: #15675 +#15681 := [trans #15676 #15679]: #15680 +#15692 := [monotonicity #15681 #15689]: #15691 +#15695 := [monotonicity #15692]: #15694 +#15698 := [monotonicity #15695]: #15697 +#15701 := [monotonicity #15698]: #15700 +#15704 := [monotonicity #15701]: #15703 +#15707 := [monotonicity #15704]: #15706 +#15712 := [trans #15707 #15710]: #15711 +#15749 := [monotonicity #15712 #15746]: #15748 +#15603 := (iff #13775 #15602) +#15600 := (iff #13772 #15599) +#15597 := (iff #13768 #15594) +#15588 := (+ 255::int #13715) +#15591 := (>= #15588 0::int) +#15595 := (iff #15591 #15594) +#15596 := [rewrite]: #15595 +#15592 := (iff #13768 #15591) +#15589 := (= #13769 #15588) #1332 := (= uf_78 255::int) -#7480 := [asserted]: #1332 -#15103 := [monotonicity #7480]: #15102 -#15106 := [monotonicity #15103]: #15105 -#15111 := [trans #15106 #15109]: #15110 -#15099 := (iff #13398 #15096) -#15090 := (+ 4294967295::int #13356) -#15093 := (>= #15090 0::int) -#15097 := (iff #15093 #15096) -#15098 := [rewrite]: #15097 -#15094 := (iff #13398 #15093) -#15091 := (= #13399 #15090) -#15092 := [monotonicity #7481]: #15091 -#15095 := [monotonicity #15092]: #15094 -#15100 := [trans #15095 #15098]: #15099 -#15088 := (iff #13395 #15085) -#15082 := (>= #15079 0::int) -#15086 := (iff #15082 #15085) -#15087 := [rewrite]: #15086 -#15083 := (iff #13395 #15082) -#15084 := [monotonicity #15081]: #15083 -#15089 := [trans #15084 #15087]: #15088 -#15077 := (iff #13386 #15076) -#15074 := (iff #13383 #15071) -#15068 := (or #15065 #13380) -#15072 := (iff #15068 #15071) -#15073 := [rewrite]: #15072 -#15069 := (iff #13383 #15068) -#15066 := (iff #13375 #15065) -#15063 := (iff #13370 #15060) -#15057 := (and #4041 #14378 #13364) -#15061 := (iff #15057 #15060) -#15062 := [rewrite]: #15061 -#15058 := (iff #13370 #15057) -#15059 := [monotonicity #14374]: #15058 -#15064 := [trans #15059 #15062]: #15063 -#15067 := [monotonicity #15064]: #15066 -#15070 := [monotonicity #15067]: #15069 -#15075 := [trans #15070 #15073]: #15074 -#15078 := [quant-intro #15075]: #15077 -#15114 := [monotonicity #15078 #15089 #15100 #15111]: #15113 -#15119 := [trans #15114 #15117]: #15118 -#15122 := [monotonicity #15119]: #15121 -#15287 := [monotonicity #15122 #15284]: #15286 -#15292 := [trans #15287 #15290]: #15291 -#15295 := [monotonicity #15292]: #15294 -#15055 := (iff #12895 #15054) -#15052 := (iff #12892 #15051) -#15049 := (iff #12889 #15046) -#15043 := (or #15040 #12885) -#15047 := (iff #15043 #15046) -#15048 := [rewrite]: #15047 -#15044 := (iff #12889 #15043) -#15041 := (iff #12881 #15040) -#15038 := (iff #12876 #15035) -#15032 := (and #4041 #14378 #12870) -#15036 := (iff #15032 #15035) -#15037 := [rewrite]: #15036 -#15033 := (iff #12876 #15032) -#15034 := [monotonicity #14374]: #15033 -#15039 := [trans #15034 #15037]: #15038 +#7482 := [asserted]: #1332 +#15590 := [monotonicity #7482]: #15589 +#15593 := [monotonicity #15590]: #15592 +#15598 := [trans #15593 #15596]: #15597 +#15601 := [monotonicity #15598]: #15600 +#15604 := [monotonicity #15601]: #15603 +#15586 := (iff #13762 #15585) +#15583 := (iff #13759 #15582) +#15580 := (iff #13755 #15577) +#15571 := (+ 4294967295::int #13686) +#15574 := (>= #15571 0::int) +#15578 := (iff #15574 #15577) +#15579 := [rewrite]: #15578 +#15575 := (iff #13755 #15574) +#15572 := (= #13756 #15571) +#15573 := [monotonicity #7483]: #15572 +#15576 := [monotonicity #15573]: #15575 +#15581 := [trans #15576 #15579]: #15580 +#15584 := [monotonicity #15581]: #15583 +#15587 := [monotonicity #15584]: #15586 +#15569 := (iff #13752 #15568) +#15566 := (iff #13749 #15565) +#15563 := (iff #13746 #15560) +#15557 := (>= #15554 0::int) +#15561 := (iff #15557 #15560) +#15562 := [rewrite]: #15561 +#15558 := (iff #13746 #15557) +#15559 := [monotonicity #15556]: #15558 +#15564 := [trans #15559 #15562]: #15563 +#15567 := [monotonicity #15564]: #15566 +#15570 := [monotonicity #15567]: #15569 +#15552 := (iff #13734 #15551) +#15549 := (iff #13731 #15548) +#15546 := (iff #13726 #15543) +#15540 := (or #14158 #13703 #13717) +#15544 := (iff #15540 #15543) +#15545 := [rewrite]: #15544 +#15541 := (iff #13726 #15540) +#15542 := [monotonicity #14156]: #15541 +#15547 := [trans #15542 #15545]: #15546 +#15550 := [quant-intro #15547]: #15549 +#15553 := [monotonicity #15550]: #15552 +#15752 := [monotonicity #15553 #15570 #15587 #15604 #15749]: #15751 +#15757 := [trans #15752 #15755]: #15756 +#15760 := [monotonicity #15757]: #15759 +#15538 := (iff #13214 #15537) +#15535 := (iff #13211 #15534) +#15532 := (iff #13206 #15529) +#15526 := (or #14158 #13184 #13196) +#15530 := (iff #15526 #15529) +#15531 := [rewrite]: #15530 +#15527 := (iff #13206 #15526) +#15528 := [monotonicity #14156]: #15527 +#15533 := [trans #15528 #15531]: #15532 +#15536 := [quant-intro #15533]: #15535 +#15539 := [monotonicity #15536]: #15538 +#15763 := [monotonicity #15539 #15760]: #15762 +#15766 := [monotonicity #15536 #15763]: #15765 +#15769 := [monotonicity #15766]: #15768 +#15772 := [monotonicity #15769]: #15771 +#15775 := [monotonicity #15772]: #15774 +#15778 := [monotonicity #15775]: #15777 +#15781 := [monotonicity #15778]: #15780 +#15784 := [monotonicity #15781]: #15783 +#15787 := [monotonicity #15784]: #15786 +#15790 := [monotonicity #15787]: #15789 +#15793 := [monotonicity #15790]: #15792 +#14070 := (not #13922) +#15071 := (iff #14070 #15070) +#15068 := (iff #13922 #15067) +#15065 := (iff #13919 #15064) +#15062 := (iff #13914 #15061) +#15059 := (iff #13908 #15058) +#15056 := (iff #13903 #15055) +#15053 := (iff #13895 #15052) +#15050 := (iff #13874 #15049) +#15047 := (iff #13871 #15046) +#15044 := (iff #13868 #15043) +#15041 := (iff #13865 #15040) +#15038 := (iff #13860 #15037) +#15035 := (iff #13852 #15032) +#15029 := (or #12769 #12760 #12751 #12742 #12733 #14996 #13683 #13230 #15026 #13700 #13734 #13740 #13752 #13762 #13775 #13786) +#15033 := (iff #15029 #15032) +#15034 := [rewrite]: #15033 +#15030 := (iff #13852 #15029) +#15027 := (iff #13659 #15026) +#15024 := (iff #13654 #15021) +#15006 := (or #12079 #12070 #12061 #12052 #13230 #13597) +#15018 := (or #13230 #13511 #15006) +#15022 := (iff #15018 #15021) +#15023 := [rewrite]: #15022 +#15019 := (iff #13654 #15018) +#15016 := (iff #13629 #15006) +#15011 := (and true #15006) +#15014 := (iff #15011 #15006) +#15015 := [rewrite]: #15014 +#15012 := (iff #13629 #15011) +#15009 := (iff #13624 #15006) +#15003 := (or false #12079 #12070 #12061 #12052 #13230 #13597) +#15007 := (iff #15003 #15006) +#15008 := [rewrite]: #15007 +#15004 := (iff #13624 #15003) +#15001 := (iff #12113 false) +#14999 := (iff #12113 #3086) +#14737 := (iff up_216 true) +#10742 := [asserted]: up_216 +#14738 := [iff-true #10742]: #14737 +#15000 := [monotonicity #14738]: #14999 +#15002 := [trans #15000 #11996]: #15001 +#15005 := [monotonicity #15002]: #15004 +#15010 := [trans #15005 #15008]: #15009 +#15013 := [monotonicity #14738 #15010]: #15012 +#15017 := [trans #15013 #15015]: #15016 +#15020 := [monotonicity #15017]: #15019 +#15025 := [trans #15020 #15023]: #15024 +#15028 := [monotonicity #15025]: #15027 +#14997 := (iff #12141 #14996) +#14994 := (iff #12003 #11997) +#14989 := (and true #11997) +#14992 := (iff #14989 #11997) +#14993 := [rewrite]: #14992 +#14990 := (iff #12003 #14989) +#14979 := (iff #11905 true) +#14980 := [iff-true #14064]: #14979 +#14991 := [monotonicity #14980]: #14990 +#14995 := [trans #14991 #14993]: #14994 +#14998 := [monotonicity #14995]: #14997 +#15031 := [monotonicity #14998 #15028]: #15030 +#15036 := [trans #15031 #15034]: #15035 +#15039 := [monotonicity #15036]: #15038 #15042 := [monotonicity #15039]: #15041 #15045 := [monotonicity #15042]: #15044 -#15050 := [trans #15045 #15048]: #15049 -#15053 := [quant-intro #15050]: #15052 -#15056 := [monotonicity #15053]: #15055 -#15298 := [monotonicity #15056 #15295]: #15297 -#15301 := [monotonicity #15053 #15298]: #15300 -#15304 := [monotonicity #15301]: #15303 -#15307 := [monotonicity #15304]: #15306 -#15310 := [monotonicity #15307]: #15309 -#15313 := [monotonicity #15310]: #15312 -#15316 := [monotonicity #15313]: #15315 -#15319 := [monotonicity #15316]: #15318 -#15322 := [monotonicity #15319]: #15321 -#15325 := [monotonicity #15322]: #15324 -#15328 := [monotonicity #15325]: #15327 -#13550 := (not #13512) -#14569 := (iff #13550 #14568) -#14566 := (iff #13512 #14565) -#14563 := (iff #13509 #14562) -#14560 := (iff #13504 #14559) -#14557 := (iff #13498 #14556) -#14554 := (iff #13493 #14553) -#14551 := (iff #13487 #14550) -#14548 := (iff #13484 #14547) -#14545 := (iff #13481 #14544) -#14542 := (iff #13478 #14541) -#14539 := (iff #13475 #14538) -#14536 := (iff #13470 #14535) -#14533 := (iff #13462 #14530) -#14527 := (or #14487 #14524 #13453) -#14531 := (iff #14527 #14530) -#14532 := [rewrite]: #14531 -#14528 := (iff #13462 #14527) -#14525 := (iff #13353 #14524) -#14522 := (iff #13350 #14519) -#14504 := (or #13325 #14498) -#14516 := (or #14504 #13347) -#14520 := (iff #14516 #14519) -#14521 := [rewrite]: #14520 -#14517 := (iff #13350 #14516) -#14514 := (iff #13331 #14504) -#14509 := (and true #14504) -#14512 := (iff #14509 #14504) -#14513 := [rewrite]: #14512 -#14510 := (iff #13331 #14509) -#14507 := (iff #13328 #14504) -#14501 := (or #14498 #13325) -#14505 := (iff #14501 #14504) -#14506 := [rewrite]: #14505 -#14502 := (iff #13328 #14501) -#14499 := (iff #13267 #14498) -#14496 := (iff #13262 #14493) -#14490 := (and true #12113 #12116 #12119 #12122 #12910 #12913) -#14494 := (iff #14490 #14493) -#14495 := [rewrite]: #14494 -#14491 := (iff #13262 #14490) -#14199 := (iff up_216 true) -#10740 := [asserted]: up_216 -#14200 := [iff-true #10740]: #14199 -#14492 := [monotonicity #14200]: #14491 -#14497 := [trans #14492 #14495]: #14496 -#14500 := [monotonicity #14497]: #14499 -#14503 := [monotonicity #14500]: #14502 -#14508 := [trans #14503 #14506]: #14507 -#14511 := [monotonicity #14200 #14508]: #14510 -#14515 := [trans #14511 #14513]: #14514 -#14518 := [monotonicity #14515]: #14517 -#14523 := [trans #14518 #14521]: #14522 -#14526 := [monotonicity #14523]: #14525 -#14488 := (iff #12962 #14487) -#14485 := (iff #12957 #14482) -#14479 := (and #3195 #3196 #3197 #3198 #3199 #3200 true #12067 #12261 #12910 #12913) -#14483 := (iff #14479 #14482) -#14484 := [rewrite]: #14483 -#14480 := (iff #12957 #14479) -#14453 := (iff #11903 true) -#14454 := [iff-true #13537]: #14453 -#14481 := [monotonicity #14454]: #14480 -#14486 := [trans #14481 #14484]: #14485 -#14489 := [monotonicity #14486]: #14488 -#14529 := [monotonicity #14489 #14526]: #14528 -#14534 := [trans #14529 #14532]: #14533 -#14537 := [monotonicity #14534]: #14536 -#14540 := [monotonicity #14537]: #14539 -#14543 := [monotonicity #14540]: #14542 -#14546 := [monotonicity #14543]: #14545 -#14549 := [monotonicity #14546]: #14548 -#14552 := [monotonicity #14549]: #14551 -#14555 := [monotonicity #14552]: #14554 -#14558 := [monotonicity #14555]: #14557 -#14561 := [monotonicity #14558]: #14560 -#14564 := [monotonicity #14561]: #14563 -#14567 := [monotonicity #14564]: #14566 -#14570 := [monotonicity #14567]: #14569 -#13551 := [not-or-elim #13523]: #13550 -#14571 := [mp #13551 #14570]: #14568 -#15329 := [mp #14571 #15328]: #15326 -#17960 := [mp~ #15329 #17959]: #17957 -#17961 := [mp #17960 #18264]: #18262 -#21850 := [mp #17961 #21849]: #21847 -#22710 := [mp #21850 #22709]: #22707 -#28083 := [unit-resolution #22710 #26255]: #22704 -#23931 := (or #22701 #22695) -#23932 := [def-axiom]: #23931 -#28084 := [unit-resolution #23932 #28083]: #22695 +#15048 := [monotonicity #15045]: #15047 +#15051 := [monotonicity #15048]: #15050 +#15054 := [monotonicity #15051]: #15053 +#15057 := [monotonicity #15054]: #15056 +#15060 := [monotonicity #15057]: #15059 +#15063 := [monotonicity #15060]: #15062 +#15066 := [monotonicity #15063]: #15065 +#15069 := [monotonicity #15066]: #15068 +#15072 := [monotonicity #15069]: #15071 +#14071 := [not-or-elim #14055]: #14070 +#15073 := [mp #14071 #15072]: #15070 +#15794 := [mp #15073 #15793]: #15791 +#18514 := [mp~ #15794 #18513]: #18511 +#18515 := [mp #18514 #18859]: #18857 +#22382 := [mp #18515 #22381]: #22379 +#23242 := [mp #22382 #23241]: #23239 +#28633 := [unit-resolution #23242 #26581]: #23236 +#24466 := (or #23233 #23227) +#24467 := [def-axiom]: #24466 +#28634 := [unit-resolution #24467 #28633]: #23227 decl uf_15 :: (-> T5 T6 T2) decl uf_16 :: (-> T4 T5 T6) -#26003 := (uf_16 uf_287 #25399) -#26479 := (uf_15 #26392 #26003) -#26480 := (= uf_9 #26479) -#26004 := (uf_15 #25399 #26003) -#28108 := (= #26004 #26479) -#28104 := (= #26479 #26004) -#27888 := (= #26392 #25399) -#27862 := (= #26392 #2981) -#27860 := (= #26391 #2977) -#27858 := (= #24110 uf_286) -#24111 := (= uf_286 #24110) -#1602 := (uf_143 #1358) -#8264 := (= #161 #1602) -#8267 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #8264) -#16571 := (~ #8267 #8267) -#16569 := (~ #8264 #8264) -#16570 := [refl]: #16569 -#16572 := [nnf-pos #16570]: #16571 -#1603 := (= #1602 #161) -#1604 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #1603) -#8268 := (iff #1604 #8267) -#8265 := (iff #1603 #8264) -#8266 := [rewrite]: #8265 -#8269 := [quant-intro #8266]: #8268 -#8263 := [asserted]: #1604 -#8272 := [mp #8263 #8269]: #8267 -#16573 := [mp~ #8272 #16572]: #8267 -#24117 := (not #8267) -#24118 := (or #24117 #24111) -#24119 := [quant-inst]: #24118 -#27676 := [unit-resolution #24119 #16573]: #24111 -#27859 := [symm #27676]: #27858 -#27861 := [monotonicity #27656 #27859]: #27860 -#27863 := [monotonicity #27861]: #27862 -#27889 := [trans #27863 #27875]: #27888 -#28105 := [monotonicity #27889]: #28104 -#28109 := [symm #28105]: #28108 -#26005 := (= uf_9 #26004) +#26537 := (uf_16 uf_287 #25933) +#27013 := (uf_15 #26926 #26537) +#27014 := (= uf_9 #27013) +#26538 := (uf_15 #25933 #26537) +#26539 := (= uf_9 #26538) +#26735 := (or #13009 #26539) +#26726 := [monotonicity #28306 #28306]: #26725 +#26743 := [symm #26726]: #26728 +#26700 := [hypothesis]: #11925 +#26730 := [trans #26700 #26743]: #26481 decl uf_53 :: (-> T4 T5 T6) -#25994 := (uf_53 uf_287 #25399) -#25995 := (uf_15 #23 #25994) -#26000 := (pattern #25995) +#26528 := (uf_53 uf_287 #25933) +#26529 := (uf_15 #23 #26528) +#26534 := (pattern #26529) decl up_197 :: (-> T3 bool) -#25998 := (up_197 #25810) -#25996 := (= uf_9 #25995) -#25997 := (not #25996) +#26532 := (up_197 #26344) +#26530 := (= uf_9 #26529) +#26531 := (not #26530) decl uf_147 :: (-> T5 T6 T2) decl uf_192 :: (-> T7 T6) decl uf_11 :: (-> T4 T5 T7) -#25990 := (uf_11 uf_287 #25399) -#25991 := (uf_192 #25990) -#25992 := (uf_147 #23 #25991) -#25993 := (= uf_9 #25992) -#26010 := (or #25993 #25997 #25998) -#26013 := (forall (vars (?x577 T5)) (:pat #26000) #26010) -#26016 := (not #26013) -#26006 := (not #26005) -#26019 := (or #25875 #26006 #26016) -#26022 := (not #26019) -#28086 := (= #3042 #25946) -#28089 := [symm #26166]: #28086 -#28090 := [trans #26255 #28089]: #25947 -#25968 := (or #25967 #25945 #25963) -#25965 := [def-axiom]: #25968 -#28091 := [unit-resolution #25965 #28090 #26163]: #25945 -#26025 := (or #25966 #26022) +#26524 := (uf_11 uf_287 #25933) +#26525 := (uf_192 #26524) +#26526 := (uf_147 #23 #26525) +#26527 := (= uf_9 #26526) +#26544 := (or #26527 #26531 #26532) +#26547 := (forall (vars (?x577 T5)) (:pat #26534) #26544) +#26550 := (not #26547) +#26540 := (not #26539) +#26553 := (or #26409 #26540 #26550) +#26732 := [hypothesis]: #26540 +#26626 := (or #26553 #26539) +#26630 := [def-axiom]: #26626 +#26733 := [unit-resolution #26630 #26732]: #26553 #14 := (:var 2 T4) #2166 := (uf_196 #14 #15 #23) #2228 := (pattern #2166) @@ -4814,82 +5300,82 @@ #2158 := (uf_11 #13 #15) #2236 := (uf_192 #2158) #2237 := (uf_147 #23 #2236) -#10024 := (= uf_9 #2237) -#10018 := (= uf_9 #2230) -#21005 := (not #10018) +#10026 := (= uf_9 #2237) +#10020 := (= uf_9 #2230) +#21605 := (not #10020) #1382 := (uf_13 #21) #2232 := (up_197 #1382) -#21020 := (or #2232 #21005 #10024) -#21025 := (forall (vars (?x577 T5)) (:pat #2231) #21020) -#21031 := (not #21025) +#21620 := (or #2232 #21605 #10026) +#21625 := (forall (vars (?x577 T5)) (:pat #2231) #21620) +#21631 := (not #21625) #2145 := (uf_16 #14 #23) #2146 := (uf_15 #15 #2145) -#9724 := (= uf_9 #2146) -#20840 := (not #9724) +#9726 := (= uf_9 #2146) +#21440 := (not #9726) #180 := (uf_27 #14 #15) -#3718 := (= uf_9 #180) -#10361 := (not #3718) -#21032 := (or #10361 #20840 #21031) -#21033 := (not #21032) -#9772 := (= uf_9 #2166) -#10048 := (not #9772) -#21038 := (or #10048 #21033) -#21041 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #21038) +#3720 := (= uf_9 #180) +#10363 := (not #3720) +#21632 := (or #10363 #21440 #21631) +#21633 := (not #21632) +#9774 := (= uf_9 #2166) +#10050 := (not #9774) +#21638 := (or #10050 #21633) +#21641 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #21638) #2233 := (not #2232) -#10021 := (and #2233 #10018) -#10030 := (not #10021) -#10031 := (or #10030 #10024) -#10036 := (forall (vars (?x577 T5)) (:pat #2231) #10031) -#10057 := (and #3718 #9724 #10036) -#10060 := (or #10048 #10057) -#10063 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10060) -#21042 := (iff #10063 #21041) -#21039 := (iff #10060 #21038) -#21036 := (iff #10057 #21033) -#21028 := (and #3718 #9724 #21025) -#21034 := (iff #21028 #21033) -#21035 := [rewrite]: #21034 -#21029 := (iff #10057 #21028) -#21026 := (iff #10036 #21025) -#21023 := (iff #10031 #21020) -#21006 := (or #2232 #21005) -#21017 := (or #21006 #10024) -#21021 := (iff #21017 #21020) -#21022 := [rewrite]: #21021 -#21018 := (iff #10031 #21017) -#21015 := (iff #10030 #21006) -#21007 := (not #21006) -#21010 := (not #21007) -#21013 := (iff #21010 #21006) -#21014 := [rewrite]: #21013 -#21011 := (iff #10030 #21010) -#21008 := (iff #10021 #21007) -#21009 := [rewrite]: #21008 -#21012 := [monotonicity #21009]: #21011 -#21016 := [trans #21012 #21014]: #21015 -#21019 := [monotonicity #21016]: #21018 -#21024 := [trans #21019 #21022]: #21023 -#21027 := [quant-intro #21024]: #21026 -#21030 := [monotonicity #21027]: #21029 -#21037 := [trans #21030 #21035]: #21036 -#21040 := [monotonicity #21037]: #21039 -#21043 := [quant-intro #21040]: #21042 -#17090 := (~ #10063 #10063) -#17088 := (~ #10060 #10060) -#17086 := (~ #10057 #10057) -#17084 := (~ #10036 #10036) -#17082 := (~ #10031 #10031) -#17083 := [refl]: #17082 -#17085 := [nnf-pos #17083]: #17084 -#17080 := (~ #9724 #9724) -#17081 := [refl]: #17080 -#17078 := (~ #3718 #3718) -#17079 := [refl]: #17078 -#17087 := [monotonicity #17079 #17081 #17085]: #17086 -#17076 := (~ #10048 #10048) -#17077 := [refl]: #17076 -#17089 := [monotonicity #17077 #17087]: #17088 -#17091 := [nnf-pos #17089]: #17090 +#10023 := (and #2233 #10020) +#10032 := (not #10023) +#10033 := (or #10032 #10026) +#10038 := (forall (vars (?x577 T5)) (:pat #2231) #10033) +#10059 := (and #3720 #9726 #10038) +#10062 := (or #10050 #10059) +#10065 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10062) +#21642 := (iff #10065 #21641) +#21639 := (iff #10062 #21638) +#21636 := (iff #10059 #21633) +#21628 := (and #3720 #9726 #21625) +#21634 := (iff #21628 #21633) +#21635 := [rewrite]: #21634 +#21629 := (iff #10059 #21628) +#21626 := (iff #10038 #21625) +#21623 := (iff #10033 #21620) +#21606 := (or #2232 #21605) +#21617 := (or #21606 #10026) +#21621 := (iff #21617 #21620) +#21622 := [rewrite]: #21621 +#21618 := (iff #10033 #21617) +#21615 := (iff #10032 #21606) +#21607 := (not #21606) +#21610 := (not #21607) +#21613 := (iff #21610 #21606) +#21614 := [rewrite]: #21613 +#21611 := (iff #10032 #21610) +#21608 := (iff #10023 #21607) +#21609 := [rewrite]: #21608 +#21612 := [monotonicity #21609]: #21611 +#21616 := [trans #21612 #21614]: #21615 +#21619 := [monotonicity #21616]: #21618 +#21624 := [trans #21619 #21622]: #21623 +#21627 := [quant-intro #21624]: #21626 +#21630 := [monotonicity #21627]: #21629 +#21637 := [trans #21630 #21635]: #21636 +#21640 := [monotonicity #21637]: #21639 +#21643 := [quant-intro #21640]: #21642 +#17591 := (~ #10065 #10065) +#17589 := (~ #10062 #10062) +#17587 := (~ #10059 #10059) +#17585 := (~ #10038 #10038) +#17583 := (~ #10033 #10033) +#17584 := [refl]: #17583 +#17586 := [nnf-pos #17584]: #17585 +#17581 := (~ #9726 #9726) +#17582 := [refl]: #17581 +#17579 := (~ #3720 #3720) +#17580 := [refl]: #17579 +#17588 := [monotonicity #17580 #17582 #17586]: #17587 +#17577 := (~ #10050 #10050) +#17578 := [refl]: #17577 +#17590 := [monotonicity #17578 #17588]: #17589 +#17592 := [nnf-pos #17590]: #17591 #2238 := (= #2237 uf_9) #2234 := (= #2230 uf_9) #2235 := (and #2233 #2234) @@ -4902,148 +5388,197 @@ #2167 := (= #2166 uf_9) #2243 := (implies #2167 #2242) #2244 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #2243) -#10066 := (iff #2244 #10063) -#10039 := (and #3718 #10036) -#10042 := (and #9724 #10039) -#10049 := (or #10048 #10042) -#10054 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10049) -#10064 := (iff #10054 #10063) -#10061 := (iff #10049 #10060) -#10058 := (iff #10042 #10057) -#10059 := [rewrite]: #10058 -#10062 := [monotonicity #10059]: #10061 -#10065 := [quant-intro #10062]: #10064 -#10055 := (iff #2244 #10054) -#10052 := (iff #2243 #10049) -#10045 := (implies #9772 #10042) -#10050 := (iff #10045 #10049) -#10051 := [rewrite]: #10050 -#10046 := (iff #2243 #10045) -#10043 := (iff #2242 #10042) -#10040 := (iff #2241 #10039) -#10037 := (iff #2240 #10036) -#10034 := (iff #2239 #10031) -#10027 := (implies #10021 #10024) -#10032 := (iff #10027 #10031) -#10033 := [rewrite]: #10032 -#10028 := (iff #2239 #10027) -#10025 := (iff #2238 #10024) -#10026 := [rewrite]: #10025 -#10022 := (iff #2235 #10021) -#10019 := (iff #2234 #10018) -#10020 := [rewrite]: #10019 -#10023 := [monotonicity #10020]: #10022 -#10029 := [monotonicity #10023 #10026]: #10028 -#10035 := [trans #10029 #10033]: #10034 -#10038 := [quant-intro #10035]: #10037 -#3719 := (iff #184 #3718) -#3720 := [rewrite]: #3719 -#10041 := [monotonicity #3720 #10038]: #10040 -#9725 := (iff #2151 #9724) -#9726 := [rewrite]: #9725 -#10044 := [monotonicity #9726 #10041]: #10043 -#9773 := (iff #2167 #9772) -#9774 := [rewrite]: #9773 -#10047 := [monotonicity #9774 #10044]: #10046 -#10053 := [trans #10047 #10051]: #10052 -#10056 := [quant-intro #10053]: #10055 -#10067 := [trans #10056 #10065]: #10066 -#10017 := [asserted]: #2244 -#10068 := [mp #10017 #10067]: #10063 -#17092 := [mp~ #10068 #17091]: #10063 -#21044 := [mp #17092 #21043]: #21041 -#25985 := (not #21041) -#25981 := (or #25985 #25966 #26022) -#25999 := (or #25998 #25997 #25993) -#26001 := (forall (vars (?x577 T5)) (:pat #26000) #25999) -#26002 := (not #26001) -#26007 := (or #25875 #26006 #26002) -#26008 := (not #26007) -#26009 := (or #25966 #26008) -#25982 := (or #25985 #26009) -#26075 := (iff #25982 #25981) -#25987 := (or #25985 #26025) -#26040 := (iff #25987 #25981) -#26072 := [rewrite]: #26040 -#25988 := (iff #25982 #25987) -#26026 := (iff #26009 #26025) -#26023 := (iff #26008 #26022) -#26020 := (iff #26007 #26019) -#26017 := (iff #26002 #26016) -#26014 := (iff #26001 #26013) -#26011 := (iff #25999 #26010) -#26012 := [rewrite]: #26011 -#26015 := [quant-intro #26012]: #26014 -#26018 := [monotonicity #26015]: #26017 -#26021 := [monotonicity #26018]: #26020 -#26024 := [monotonicity #26021]: #26023 -#26027 := [monotonicity #26024]: #26026 -#25989 := [monotonicity #26027]: #25988 -#26076 := [trans #25989 #26072]: #26075 -#25986 := [quant-inst]: #25982 -#26071 := [mp #25986 #26076]: #25981 -#28092 := [unit-resolution #26071 #21044]: #26025 -#28093 := [unit-resolution #28092 #28091]: #26022 -#26074 := (or #26019 #26005) -#26078 := [def-axiom]: #26074 -#28094 := [unit-resolution #26078 #28093]: #26005 -#28088 := [trans #28094 #28109]: #26480 -#26481 := (not #26480) -#26516 := (or #11973 #26481) -#26470 := (uf_66 #26469 0::int #24108) -#26474 := (uf_24 uf_287 #26470) -#26475 := (= uf_9 #26474) -#26476 := (not #26475) -#26451 := (iff #17634 #26476) -#26449 := (iff #11973 #26475) -#26446 := (iff #26475 #11973) -#26467 := (= #26474 #3047) -#26465 := (= #26470 #3044) -#26466 := [monotonicity #27663 #27656]: #26465 -#26468 := [monotonicity #26466]: #26467 -#26448 := [monotonicity #26468]: #26446 -#26450 := [symm #26448]: #26449 -#26452 := [monotonicity #26450]: #26451 -#26464 := [hypothesis]: #17634 -#26447 := [mp #26464 #26452]: #26476 -#26471 := (uf_58 #3175 #26470) -#26472 := (uf_136 #26471) -#26473 := (= uf_9 #26472) -#26486 := (or #26473 #26476) -#26489 := (not #26486) +#10068 := (iff #2244 #10065) +#10041 := (and #3720 #10038) +#10044 := (and #9726 #10041) +#10051 := (or #10050 #10044) +#10056 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10051) +#10066 := (iff #10056 #10065) +#10063 := (iff #10051 #10062) +#10060 := (iff #10044 #10059) +#10061 := [rewrite]: #10060 +#10064 := [monotonicity #10061]: #10063 +#10067 := [quant-intro #10064]: #10066 +#10057 := (iff #2244 #10056) +#10054 := (iff #2243 #10051) +#10047 := (implies #9774 #10044) +#10052 := (iff #10047 #10051) +#10053 := [rewrite]: #10052 +#10048 := (iff #2243 #10047) +#10045 := (iff #2242 #10044) +#10042 := (iff #2241 #10041) +#10039 := (iff #2240 #10038) +#10036 := (iff #2239 #10033) +#10029 := (implies #10023 #10026) +#10034 := (iff #10029 #10033) +#10035 := [rewrite]: #10034 +#10030 := (iff #2239 #10029) +#10027 := (iff #2238 #10026) +#10028 := [rewrite]: #10027 +#10024 := (iff #2235 #10023) +#10021 := (iff #2234 #10020) +#10022 := [rewrite]: #10021 +#10025 := [monotonicity #10022]: #10024 +#10031 := [monotonicity #10025 #10028]: #10030 +#10037 := [trans #10031 #10035]: #10036 +#10040 := [quant-intro #10037]: #10039 +#3721 := (iff #184 #3720) +#3722 := [rewrite]: #3721 +#10043 := [monotonicity #3722 #10040]: #10042 +#9727 := (iff #2151 #9726) +#9728 := [rewrite]: #9727 +#10046 := [monotonicity #9728 #10043]: #10045 +#9775 := (iff #2167 #9774) +#9776 := [rewrite]: #9775 +#10049 := [monotonicity #9776 #10046]: #10048 +#10055 := [trans #10049 #10053]: #10054 +#10058 := [quant-intro #10055]: #10057 +#10069 := [trans #10058 #10067]: #10068 +#10019 := [asserted]: #2244 +#10070 := [mp #10019 #10069]: #10065 +#17593 := [mp~ #10070 #17592]: #10065 +#21644 := [mp #17593 #21643]: #21641 +#26556 := (not #26553) +#26648 := (not #21641) +#26649 := (or #26648 #26500 #26556) +#26533 := (or #26532 #26531 #26527) +#26535 := (forall (vars (?x577 T5)) (:pat #26534) #26533) +#26536 := (not #26535) +#26541 := (or #26409 #26540 #26536) +#26542 := (not #26541) +#26543 := (or #26500 #26542) +#26637 := (or #26648 #26543) +#26621 := (iff #26637 #26649) +#26559 := (or #26500 #26556) +#26639 := (or #26648 #26559) +#26677 := (iff #26639 #26649) +#26625 := [rewrite]: #26677 +#26675 := (iff #26637 #26639) +#26560 := (iff #26543 #26559) +#26557 := (iff #26542 #26556) +#26554 := (iff #26541 #26553) +#26551 := (iff #26536 #26550) +#26548 := (iff #26535 #26547) +#26545 := (iff #26533 #26544) +#26546 := [rewrite]: #26545 +#26549 := [quant-intro #26546]: #26548 +#26552 := [monotonicity #26549]: #26551 +#26555 := [monotonicity #26552]: #26554 +#26558 := [monotonicity #26555]: #26557 +#26561 := [monotonicity #26558]: #26560 +#26676 := [monotonicity #26561]: #26675 +#26627 := [trans #26676 #26625]: #26621 +#26638 := [quant-inst]: #26637 +#26623 := [mp #26638 #26627]: #26649 +#26731 := [unit-resolution #26623 #21644 #26733]: #26500 +#26497 := (not #26481) +#26491 := (or #26490 #26479 #26497) +#26487 := [def-axiom]: #26491 +#26734 := [unit-resolution #26487 #26731 #26730 #26699]: false +#26736 := [lemma #26734]: #26735 +#28635 := [unit-resolution #26736 #26581]: #26539 +#26723 := (or #26540 #27014) +#26701 := (= #26538 #27013) +#26697 := (= #27013 #26538) +#28317 := (= #26926 #25933) +#28318 := [trans #28292 #28304]: #28317 +#26698 := [monotonicity #28318]: #26697 +#26721 := [symm #26698]: #26701 +#26709 := [hypothesis]: #26539 +#26722 := [trans #26709 #26721]: #27014 +#27015 := (not #27014) +#26695 := [hypothesis]: #27015 +#26720 := [unit-resolution #26695 #26722]: false +#26724 := [lemma #26720]: #26723 +#28636 := [unit-resolution #26724 #28635]: #27014 +#27050 := (or #11931 #27015) +#27003 := (uf_43 #24643 #2980) +#27004 := (uf_66 #27003 0::int #24643) +#27008 := (uf_24 uf_287 #27004) +#27009 := (= uf_9 #27008) +#27010 := (not #27009) +#26985 := (iff #18130 #27010) +#26983 := (iff #11931 #27009) +#26980 := (iff #27009 #11931) +#27001 := (= #27008 #3034) +#26999 := (= #27004 #3031) +#28196 := (= #27003 #2979) +#28194 := (= #2980 uf_288) +#24762 := (= uf_288 #2980) +#2698 := (uf_116 #2697) +#11210 := (= #161 #2698) +#22938 := (forall (vars (?x718 T3) (?x719 int)) (:pat #22937) #11210) +#11214 := (forall (vars (?x718 T3) (?x719 int)) #11210) +#22941 := (iff #11214 #22938) +#22939 := (iff #11210 #11210) +#22940 := [refl]: #22939 +#22942 := [quant-intro #22940]: #22941 +#17984 := (~ #11214 #11214) +#17982 := (~ #11210 #11210) +#17983 := [refl]: #17982 +#17985 := [nnf-pos #17983]: #17984 +#2699 := (= #2698 #161) +#2700 := (forall (vars (?x718 T3) (?x719 int)) #2699) +#11215 := (iff #2700 #11214) +#11212 := (iff #2699 #11210) +#11213 := [rewrite]: #11212 +#11216 := [quant-intro #11213]: #11215 +#11209 := [asserted]: #2700 +#11219 := [mp #11209 #11216]: #11214 +#17986 := [mp~ #11219 #17985]: #11214 +#22943 := [mp #17986 #22942]: #22938 +#24716 := (not #22938) +#24767 := (or #24716 #24762) +#24768 := [quant-inst]: #24767 +#28193 := [unit-resolution #24768 #22943]: #24762 +#28195 := [symm #28193]: #28194 +#28197 := [monotonicity #28190 #28195]: #28196 +#27000 := [monotonicity #28197 #28190]: #26999 +#27002 := [monotonicity #27000]: #27001 +#26982 := [monotonicity #27002]: #26980 +#26984 := [symm #26982]: #26983 +#26986 := [monotonicity #26984]: #26985 +#26998 := [hypothesis]: #18130 +#26981 := [mp #26998 #26986]: #27010 +#27005 := (uf_58 #3150 #27004) +#27006 := (uf_136 #27005) +#27007 := (= uf_9 #27006) +#27020 := (or #27007 #27010) +#27023 := (not #27020) decl uf_22 :: (-> T3 T2) -#26482 := (uf_22 #24108) -#26483 := (= uf_9 #26482) +#27016 := (uf_22 #24643) +#27017 := (= uf_9 #27016) #2783 := (uf_22 uf_7) -#27694 := (= #2783 #26482) -#27691 := (= #26482 #2783) -#27692 := [monotonicity #27656]: #27691 -#27695 := [symm #27692]: #27694 -#11384 := (= uf_9 #2783) +#28228 := (= #2783 #27016) +#28225 := (= #27016 #2783) +#28226 := [monotonicity #28190]: #28225 +#28229 := [symm #28226]: #28228 +#11386 := (= uf_9 #2783) #2784 := (= #2783 uf_9) -#11386 := (iff #2784 #11384) -#11387 := [rewrite]: #11386 -#11383 := [asserted]: #2784 -#11390 := [mp #11383 #11387]: #11384 -#27696 := [trans #11390 #27695]: #26483 -#26484 := (not #26483) -#26512 := (or #26484 #26489) -#27697 := [hypothesis]: #26480 -#26427 := (<= #24110 0::int) -#26454 := (not #26427) -#13542 := [and-elim #13524]: #12741 -#26410 := (* -1::int #24110) -#26519 := (+ uf_286 #26410) -#26520 := (<= #26519 0::int) -#27677 := (not #24111) -#27678 := (or #27677 #26520) -#27679 := [th-lemma]: #27678 -#27680 := [unit-resolution #27679 #27676]: #26520 -#27686 := (not #26520) -#26455 := (or #26454 #12740 #27686) -#26456 := [th-lemma]: #26455 -#26457 := [unit-resolution #26456 #27680 #13542]: #26454 +#11388 := (iff #2784 #11386) +#11389 := [rewrite]: #11388 +#11385 := [asserted]: #2784 +#11392 := [mp #11385 #11389]: #11386 +#28230 := [trans #11392 #28229]: #27017 +#27018 := (not #27017) +#27046 := (or #27018 #27023) +#28231 := [hypothesis]: #27014 +#26961 := (<= #24645 0::int) +#26988 := (not #26961) +#14069 := [not-or-elim #14055]: #13218 +#26944 := (* -1::int #24645) +#27053 := (+ uf_286 #26944) +#27054 := (<= #27053 0::int) +#28211 := (not #24646) +#28212 := (or #28211 #27054) +#28213 := [th-lemma]: #28212 +#28214 := [unit-resolution #28213 #28210]: #27054 +#28220 := (not #27054) +#26989 := (or #26988 #13217 #28220) +#26990 := [th-lemma]: #26989 +#26991 := [unit-resolution #26990 #28214 #14069]: #26988 #237 := (uf_22 #233) +#247 := (:var 1 int) #762 := (:var 4 int) #2069 := (uf_43 #233 #762) #2070 := (uf_66 #2069 #247 #233) @@ -5060,59 +5595,59 @@ #2084 := (uf_58 #1545 #2070) #2085 := (pattern #2068 #2084 #237) #2090 := (uf_136 #2084) -#9532 := (= uf_9 #2090) +#9534 := (= uf_9 #2090) #2088 := (uf_24 #1373 #2070) -#9529 := (= uf_9 #2088) -#20750 := (not #9529) -#20751 := (or #20750 #9532) -#20752 := (not #20751) -#9473 := (= uf_9 #2068) -#20726 := (not #9473) +#9531 := (= uf_9 #2088) +#21350 := (not #9531) +#21351 := (or #21350 #9534) +#21352 := (not #21351) +#9475 := (= uf_9 #2068) +#21326 := (not #9475) #2073 := (uf_55 #1373) -#9470 := (= uf_9 #2073) -#20725 := (not #9470) -#4045 := (* -1::int #268) -#6109 := (+ #247 #4045) -#6706 := (>= #6109 0::int) -#4307 := (>= #247 0::int) -#18663 := (not #4307) -#3926 := (= uf_9 #237) -#10244 := (not #3926) -#20758 := (or #10244 #18663 #6706 #20725 #20726 #20752) -#20763 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #20758) -#9535 := (not #9532) -#9538 := (and #9529 #9535) -#7773 := (not #6706) -#9511 := (and #3926 #4307 #7773 #9470 #9473) -#9516 := (not #9511) -#9552 := (or #9516 #9538) -#9555 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9552) -#20764 := (iff #9555 #20763) -#20761 := (iff #9552 #20758) -#20727 := (or #10244 #18663 #6706 #20725 #20726) -#20755 := (or #20727 #20752) -#20759 := (iff #20755 #20758) -#20760 := [rewrite]: #20759 -#20756 := (iff #9552 #20755) -#20753 := (iff #9538 #20752) -#20754 := [rewrite]: #20753 -#20736 := (iff #9516 #20727) -#20728 := (not #20727) -#20731 := (not #20728) -#20734 := (iff #20731 #20727) -#20735 := [rewrite]: #20734 -#20732 := (iff #9516 #20731) -#20729 := (iff #9511 #20728) -#20730 := [rewrite]: #20729 -#20733 := [monotonicity #20730]: #20732 -#20737 := [trans #20733 #20735]: #20736 -#20757 := [monotonicity #20737 #20754]: #20756 -#20762 := [trans #20757 #20760]: #20761 -#20765 := [quant-intro #20762]: #20764 -#16956 := (~ #9555 #9555) -#16954 := (~ #9552 #9552) -#16955 := [refl]: #16954 -#16957 := [nnf-pos #16955]: #16956 +#9472 := (= uf_9 #2073) +#21325 := (not #9472) +#4047 := (* -1::int #268) +#6111 := (+ #247 #4047) +#6708 := (>= #6111 0::int) +#4309 := (>= #247 0::int) +#19263 := (not #4309) +#3928 := (= uf_9 #237) +#10246 := (not #3928) +#21358 := (or #10246 #19263 #6708 #21325 #21326 #21352) +#21363 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #21358) +#9537 := (not #9534) +#9540 := (and #9531 #9537) +#7775 := (not #6708) +#9513 := (and #3928 #4309 #7775 #9472 #9475) +#9518 := (not #9513) +#9554 := (or #9518 #9540) +#9557 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9554) +#21364 := (iff #9557 #21363) +#21361 := (iff #9554 #21358) +#21327 := (or #10246 #19263 #6708 #21325 #21326) +#21355 := (or #21327 #21352) +#21359 := (iff #21355 #21358) +#21360 := [rewrite]: #21359 +#21356 := (iff #9554 #21355) +#21353 := (iff #9540 #21352) +#21354 := [rewrite]: #21353 +#21336 := (iff #9518 #21327) +#21328 := (not #21327) +#21331 := (not #21328) +#21334 := (iff #21331 #21327) +#21335 := [rewrite]: #21334 +#21332 := (iff #9518 #21331) +#21329 := (iff #9513 #21328) +#21330 := [rewrite]: #21329 +#21333 := [monotonicity #21330]: #21332 +#21337 := [trans #21333 #21335]: #21336 +#21357 := [monotonicity #21337 #21354]: #21356 +#21362 := [trans #21357 #21360]: #21361 +#21365 := [quant-intro #21362]: #21364 +#17457 := (~ #9557 #9557) +#17455 := (~ #9554 #9554) +#17456 := [refl]: #17455 +#17458 := [nnf-pos #17456]: #17457 #2091 := (= #2090 uf_9) #2092 := (not #2091) #2089 := (= #2088 uf_9) @@ -5128,531 +5663,512 @@ #2078 := (and #2074 #2077) #2094 := (implies #2078 #2093) #2095 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #2094) -#9558 := (iff #2095 #9555) -#9479 := (and #1435 #9473) -#9484 := (and #3926 #9479) -#9487 := (and #9470 #9484) -#9493 := (not #9487) -#9544 := (or #9493 #9538) -#9549 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9544) -#9556 := (iff #9549 #9555) -#9553 := (iff #9544 #9552) -#9517 := (iff #9493 #9516) -#9514 := (iff #9487 #9511) -#7776 := (and #4307 #7773) -#9502 := (and #7776 #9473) -#9505 := (and #3926 #9502) -#9508 := (and #9470 #9505) -#9512 := (iff #9508 #9511) -#9513 := [rewrite]: #9512 -#9509 := (iff #9487 #9508) -#9506 := (iff #9484 #9505) -#9503 := (iff #9479 #9502) -#7777 := (iff #1435 #7776) -#7774 := (iff #1434 #7773) -#7775 := [rewrite]: #7774 -#4306 := (iff #397 #4307) -#4308 := [rewrite]: #4306 -#7778 := [monotonicity #4308 #7775]: #7777 -#9504 := [monotonicity #7778]: #9503 -#9507 := [monotonicity #9504]: #9506 -#9510 := [monotonicity #9507]: #9509 -#9515 := [trans #9510 #9513]: #9514 -#9518 := [monotonicity #9515]: #9517 -#9554 := [monotonicity #9518]: #9553 -#9557 := [quant-intro #9554]: #9556 -#9550 := (iff #2095 #9549) -#9547 := (iff #2094 #9544) -#9541 := (implies #9487 #9538) -#9545 := (iff #9541 #9544) -#9546 := [rewrite]: #9545 -#9542 := (iff #2094 #9541) -#9539 := (iff #2093 #9538) -#9536 := (iff #2092 #9535) -#9533 := (iff #2091 #9532) -#9534 := [rewrite]: #9533 -#9537 := [monotonicity #9534]: #9536 -#9530 := (iff #2089 #9529) -#9531 := [rewrite]: #9530 -#9540 := [monotonicity #9531 #9537]: #9539 -#9488 := (iff #2078 #9487) -#9485 := (iff #2077 #9484) -#9482 := (iff #2076 #9479) -#9476 := (and #9473 #1435) -#9480 := (iff #9476 #9479) -#9481 := [rewrite]: #9480 -#9477 := (iff #2076 #9476) -#9474 := (iff #2075 #9473) -#9475 := [rewrite]: #9474 -#9478 := [monotonicity #9475]: #9477 -#9483 := [trans #9478 #9481]: #9482 -#3927 := (iff #238 #3926) -#3928 := [rewrite]: #3927 -#9486 := [monotonicity #3928 #9483]: #9485 -#9471 := (iff #2074 #9470) -#9472 := [rewrite]: #9471 -#9489 := [monotonicity #9472 #9486]: #9488 -#9543 := [monotonicity #9489 #9540]: #9542 -#9548 := [trans #9543 #9546]: #9547 -#9551 := [quant-intro #9548]: #9550 -#9559 := [trans #9551 #9557]: #9558 -#9528 := [asserted]: #2095 -#9560 := [mp #9528 #9559]: #9555 -#16958 := [mp~ #9560 #16957]: #9555 -#20766 := [mp #16958 #20765]: #20763 -#26500 := (not #20763) -#26360 := (or #26500 #23948 #26427 #26481 #26484 #26489) -#26477 := (or #26476 #26473) -#26478 := (not #26477) -#26411 := (+ 0::int #26410) -#26412 := (>= #26411 0::int) -#26413 := (>= 0::int 0::int) -#26414 := (not #26413) -#26485 := (or #26484 #26414 #26412 #23948 #26481 #26478) -#26361 := (or #26500 #26485) -#26382 := (iff #26361 #26360) -#26495 := (or #23948 #26427 #26481 #26484 #26489) -#26378 := (or #26500 #26495) -#26380 := (iff #26378 #26360) -#26381 := [rewrite]: #26380 -#26379 := (iff #26361 #26378) -#26498 := (iff #26485 #26495) -#26492 := (or #26484 false #26427 #23948 #26481 #26489) -#26496 := (iff #26492 #26495) -#26497 := [rewrite]: #26496 -#26493 := (iff #26485 #26492) -#26490 := (iff #26478 #26489) -#26487 := (iff #26477 #26486) -#26488 := [rewrite]: #26487 -#26491 := [monotonicity #26488]: #26490 -#26430 := (iff #26412 #26427) -#26424 := (>= #26410 0::int) -#26428 := (iff #26424 #26427) -#26429 := [rewrite]: #26428 -#26425 := (iff #26412 #26424) -#26422 := (= #26411 #26410) -#26423 := [rewrite]: #26422 -#26426 := [monotonicity #26423]: #26425 -#26431 := [trans #26426 #26429]: #26430 -#26420 := (iff #26414 false) -#26418 := (iff #26414 #3112) -#26416 := (iff #26413 true) -#26417 := [rewrite]: #26416 -#26419 := [monotonicity #26417]: #26418 -#26421 := [trans #26419 #12066]: #26420 -#26494 := [monotonicity #26421 #26431 #26491]: #26493 -#26499 := [trans #26494 #26497]: #26498 -#26377 := [monotonicity #26499]: #26379 -#26383 := [trans #26377 #26381]: #26382 -#26362 := [quant-inst]: #26361 -#26384 := [mp #26362 #26383]: #26360 -#26513 := [unit-resolution #26384 #20766 #13537 #26457 #27697]: #26512 -#26514 := [unit-resolution #26513 #27696]: #26489 -#26460 := (or #26486 #26475) -#26461 := [def-axiom]: #26460 -#26515 := [unit-resolution #26461 #26514 #26447]: false -#26517 := [lemma #26515]: #26516 -#28095 := [unit-resolution #26517 #28088]: #11973 -#23927 := (or #22698 #17631 #17634 #22692) -#23928 := [def-axiom]: #23927 -#28097 := [unit-resolution #23928 #28095 #28084]: #28096 -#28098 := [unit-resolution #28097 #26648]: #22692 -#23917 := (or #22689 #22683) -#23918 := [def-axiom]: #23917 -#28087 := [unit-resolution #23918 #28098]: #22683 -#26562 := (not #26473) -#28100 := [unit-resolution #26384 #20766 #13537 #26457 #28088]: #26512 -#28101 := [unit-resolution #28100 #27696]: #26489 -#27944 := (or #26486 #26562) -#27945 := [def-axiom]: #27944 -#28102 := [unit-resolution #27945 #28101]: #26562 -#28103 := (or #11979 #26473) -#27942 := (or #11979 #26473 #17634) -#26742 := (uf_58 #3175 #23935) -#26748 := (uf_135 #26742) -#26751 := (uf_25 uf_287 #26748) -#26752 := (= uf_26 #26751) -#26749 := (uf_210 uf_287 #26748) -#26750 := (= uf_9 #26749) -#27416 := (or #26750 #26752) -#27420 := (not #27416) -#26775 := (uf_12 #26369) -#26938 := (= uf_14 #26775) -#27415 := (not #26938) -#26755 := (uf_13 #26748) -#26756 := (uf_12 #26755) -#26757 := (= uf_14 #26756) -#26758 := (uf_27 uf_287 #26748) -#26753 := (= uf_9 #26758) -#26743 := (not #26753) -#26744 := (uf_136 #26742) -#26745 := (= uf_9 #26744) -#26746 := (not #26745) -#26747 := (or #26746 #26743) -#26774 := (not #26747) -#27536 := (or #26774 #26757 #27415 #27420) -#27005 := (not #27536) -#26817 := (uf_210 uf_287 #23935) -#26862 := (= uf_9 #26817) -#26863 := (uf_25 uf_287 #23935) -#26810 := (= uf_26 #26863) -#26811 := (or #26810 #26862) -#26809 := (not #26811) -#26987 := (or #26809 #26938) -#27412 := (not #26987) -#27012 := (or #27412 #27005) -#27030 := (not #27012) -#26867 := (uf_24 uf_287 #23935) -#26988 := (= uf_9 #26867) -#27804 := (= #3047 #26867) -#27801 := (= #26867 #3047) -#27799 := (= #23935 #3044) -#27793 := (= #26311 #3044) -#27794 := [symm #27788]: #27793 -#27797 := (= #23935 #26311) -#27791 := (= #26333 #26311) -#27792 := [symm #27786]: #27791 -#27798 := [trans #27796 #27792]: #27797 -#27800 := [trans #27798 #27794]: #27799 -#27802 := [monotonicity #27800]: #27801 -#27805 := [symm #27802]: #27804 -#27782 := [hypothesis]: #11973 -#27806 := [trans #27782 #27805]: #26988 -#26989 := (not #26988) -#27033 := (or #26989 #27030) -#27035 := (not #27033) -#26992 := (uf_68 uf_287 #23935) -#26997 := (= uf_9 #26992) -#27541 := (iff #26997 #27035) -#2381 := (uf_68 #47 #23) -#2382 := (pattern #2381) -#282 := (uf_59 #47) -#2384 := (uf_58 #282 #23) -#2388 := (uf_135 #2384) -#2399 := (uf_210 #47 #2388) -#10478 := (= uf_9 #2399) -#2397 := (uf_25 #47 #2388) -#10475 := (= uf_26 #2397) -#10481 := (or #10475 #10478) -#21152 := (not #10481) -#2393 := (uf_13 #2388) -#2394 := (uf_12 #2393) -#10469 := (= uf_14 #2394) -#2389 := (uf_27 #47 #2388) -#10460 := (= uf_9 #2389) -#10463 := (not #10460) -#2385 := (uf_136 #2384) -#10454 := (= uf_9 #2385) -#10457 := (not #10454) -#10466 := (or #10457 #10463) -#21151 := (not #10466) -#21153 := (or #52 #21151 #10469 #21152) -#21154 := (not #21153) -#2405 := (uf_210 #47 #23) -#10493 := (= uf_9 #2405) -#10496 := (or #3615 #10493) -#21146 := (not #10496) -#21147 := (or #29 #21146) -#21148 := (not #21147) -#21157 := (or #21148 #21154) -#21163 := (not #21157) -#21164 := (or #11066 #21163) -#21165 := (not #21164) -#10450 := (= uf_9 #2381) -#21170 := (iff #10450 #21165) -#21173 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #21170) -#10472 := (not #10469) -#10514 := (and #29 #10466 #10472 #10481) -#10499 := (and #52 #10496) -#10520 := (or #10499 #10514) -#10525 := (and #3621 #10520) -#10528 := (iff #10450 #10525) -#10531 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10528) -#21174 := (iff #10531 #21173) -#21171 := (iff #10528 #21170) -#21168 := (iff #10525 #21165) -#21160 := (and #3621 #21157) -#21166 := (iff #21160 #21165) -#21167 := [rewrite]: #21166 -#21161 := (iff #10525 #21160) -#21158 := (iff #10520 #21157) -#21155 := (iff #10514 #21154) -#21156 := [rewrite]: #21155 -#21149 := (iff #10499 #21148) -#21150 := [rewrite]: #21149 -#21159 := [monotonicity #21150 #21156]: #21158 -#21162 := [monotonicity #21159]: #21161 -#21169 := [trans #21162 #21167]: #21168 -#21172 := [monotonicity #21169]: #21171 -#21175 := [quant-intro #21172]: #21174 -#17195 := (~ #10531 #10531) -#17193 := (~ #10528 #10528) -#17194 := [refl]: #17193 -#17196 := [nnf-pos #17194]: #17195 -#2406 := (= #2405 uf_9) -#2407 := (or #143 #2406) -#2408 := (and #52 #2407) -#2400 := (= #2399 uf_9) -#2398 := (= #2397 uf_26) -#2401 := (or #2398 #2400) -#2395 := (= #2394 uf_14) -#2396 := (not #2395) -#2402 := (and #2396 #2401) -#2390 := (= #2389 uf_9) -#2391 := (not #2390) -#2386 := (= #2385 uf_9) -#2387 := (not #2386) -#2392 := (or #2387 #2391) -#2403 := (and #2392 #2402) -#2404 := (and #29 #2403) -#2409 := (or #2404 #2408) -#2410 := (and #147 #2409) -#2383 := (= #2381 uf_9) -#2411 := (iff #2383 #2410) -#2412 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #2411) -#10534 := (iff #2412 #10531) -#10484 := (and #10472 #10481) -#10487 := (and #10466 #10484) -#10490 := (and #29 #10487) -#10502 := (or #10490 #10499) -#10505 := (and #3621 #10502) -#10508 := (iff #10450 #10505) -#10511 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10508) -#10532 := (iff #10511 #10531) -#10529 := (iff #10508 #10528) -#10526 := (iff #10505 #10525) -#10523 := (iff #10502 #10520) -#10517 := (or #10514 #10499) -#10521 := (iff #10517 #10520) -#10522 := [rewrite]: #10521 -#10518 := (iff #10502 #10517) -#10515 := (iff #10490 #10514) -#10516 := [rewrite]: #10515 -#10519 := [monotonicity #10516]: #10518 -#10524 := [trans #10519 #10522]: #10523 -#10527 := [monotonicity #10524]: #10526 -#10530 := [monotonicity #10527]: #10529 -#10533 := [quant-intro #10530]: #10532 -#10512 := (iff #2412 #10511) -#10509 := (iff #2411 #10508) -#10506 := (iff #2410 #10505) -#10503 := (iff #2409 #10502) -#10500 := (iff #2408 #10499) -#10497 := (iff #2407 #10496) -#10494 := (iff #2406 #10493) -#10495 := [rewrite]: #10494 -#10498 := [monotonicity #3617 #10495]: #10497 -#10501 := [monotonicity #10498]: #10500 -#10491 := (iff #2404 #10490) -#10488 := (iff #2403 #10487) -#10485 := (iff #2402 #10484) -#10482 := (iff #2401 #10481) -#10479 := (iff #2400 #10478) -#10480 := [rewrite]: #10479 -#10476 := (iff #2398 #10475) -#10477 := [rewrite]: #10476 -#10483 := [monotonicity #10477 #10480]: #10482 -#10473 := (iff #2396 #10472) -#10470 := (iff #2395 #10469) -#10471 := [rewrite]: #10470 -#10474 := [monotonicity #10471]: #10473 -#10486 := [monotonicity #10474 #10483]: #10485 -#10467 := (iff #2392 #10466) -#10464 := (iff #2391 #10463) -#10461 := (iff #2390 #10460) -#10462 := [rewrite]: #10461 -#10465 := [monotonicity #10462]: #10464 -#10458 := (iff #2387 #10457) -#10455 := (iff #2386 #10454) -#10456 := [rewrite]: #10455 -#10459 := [monotonicity #10456]: #10458 -#10468 := [monotonicity #10459 #10465]: #10467 -#10489 := [monotonicity #10468 #10486]: #10488 -#10492 := [monotonicity #10489]: #10491 -#10504 := [monotonicity #10492 #10501]: #10503 -#10507 := [monotonicity #3623 #10504]: #10506 -#10452 := (iff #2383 #10450) -#10453 := [rewrite]: #10452 -#10510 := [monotonicity #10453 #10507]: #10509 -#10513 := [quant-intro #10510]: #10512 -#10535 := [trans #10513 #10533]: #10534 -#10449 := [asserted]: #2412 -#10536 := [mp #10449 #10535]: #10531 -#17197 := [mp~ #10536 #17196]: #10531 -#21176 := [mp #17197 #21175]: #21173 -#27590 := (not #21173) -#27615 := (or #27590 #27541) -#26727 := (or #26752 #26750) -#26754 := (not #26727) -#26776 := (= #26775 uf_14) -#26814 := (not #26776) -#26815 := (or #26814 #26774 #26757 #26754) -#26816 := (not #26815) -#26812 := (or #26776 #26809) -#26807 := (not #26812) -#26813 := (or #26807 #26816) -#26866 := (not #26813) -#26990 := (or #26989 #26866) -#26991 := (not #26990) -#26937 := (iff #26997 #26991) -#26626 := (or #27590 #26937) -#26665 := (iff #26626 #27615) -#26670 := (iff #27615 #27615) -#26671 := [rewrite]: #26670 -#27542 := (iff #26937 #27541) -#27038 := (iff #26991 #27035) -#27034 := (iff #26990 #27033) -#27031 := (iff #26866 #27030) -#27013 := (iff #26813 #27012) -#27008 := (iff #26816 #27005) -#27554 := (iff #26815 #27536) -#27550 := (or #27415 #26774 #26757 #27420) -#27534 := (iff #27550 #27536) -#27533 := [rewrite]: #27534 -#27546 := (iff #26815 #27550) -#27475 := (iff #26754 #27420) -#27418 := (iff #26727 #27416) -#27419 := [rewrite]: #27418 -#27549 := [monotonicity #27419]: #27475 -#27410 := (iff #26814 #27415) -#26936 := (iff #26776 #26938) -#26983 := [rewrite]: #26936 -#27048 := [monotonicity #26983]: #27410 -#27535 := [monotonicity #27048 #27549]: #27546 -#27539 := [trans #27535 #27533]: #27554 -#27011 := [monotonicity #27539]: #27008 -#27413 := (iff #26807 #27412) -#27010 := (iff #26812 #26987) -#26984 := (or #26938 #26809) -#26982 := (iff #26984 #26987) -#27009 := [rewrite]: #26982 -#26985 := (iff #26812 #26984) -#26986 := [monotonicity #26983]: #26985 -#27047 := [trans #26986 #27009]: #27010 -#27414 := [monotonicity #27047]: #27413 -#27028 := [monotonicity #27414 #27011]: #27013 -#27032 := [monotonicity #27028]: #27031 -#27029 := [monotonicity #27032]: #27034 -#27540 := [monotonicity #27029]: #27038 -#27543 := [monotonicity #27540]: #27542 -#26666 := [monotonicity #27543]: #26665 -#26672 := [trans #26666 #26671]: #26665 -#26627 := [quant-inst]: #26626 -#26941 := [mp #26627 #26672]: #27615 -#27807 := [unit-resolution #26941 #21176]: #27541 -#27775 := (not #26997) -#27815 := (iff #17640 #27775) -#27813 := (iff #11979 #26997) -#27811 := (iff #26997 #11979) -#27809 := (= #26992 #3050) -#27810 := [monotonicity #27800]: #27809 -#27812 := [monotonicity #27810]: #27811 -#27814 := [symm #27812]: #27813 -#27816 := [monotonicity #27814]: #27815 -#27808 := [hypothesis]: #17640 -#27817 := [mp #27808 #27816]: #27775 -#27772 := (not #27541) -#27773 := (or #27772 #26997 #27033) -#27774 := [def-axiom]: #27773 -#27818 := [unit-resolution #27774 #27817 #27807]: #27033 -#27770 := (or #27035 #26989 #27030) -#27771 := [def-axiom]: #27770 -#27819 := [unit-resolution #27771 #27818 #27806]: #27030 -#27835 := (iff #26562 #26746) -#27833 := (iff #26473 #26745) -#27831 := (iff #26745 #26473) -#27829 := (= #26744 #26472) -#27827 := (= #26742 #26471) -#26222 := (uf_58 #3175 #3044) -#27825 := (= #26222 #26471) -#27823 := (= #26471 #26222) -#27824 := [monotonicity #26466]: #27823 -#27826 := [symm #27824]: #27825 -#27821 := (= #26742 #26222) -#27822 := [monotonicity #27800]: #27821 -#27828 := [trans #27822 #27826]: #27827 -#27830 := [monotonicity #27828]: #27829 -#27832 := [monotonicity #27830]: #27831 -#27834 := [symm #27832]: #27833 -#27836 := [monotonicity #27834]: #27835 -#27820 := [hypothesis]: #26562 -#27837 := [mp #27820 #27836]: #26746 -#27732 := (or #26747 #26745) -#27733 := [def-axiom]: #27732 -#27838 := [unit-resolution #27733 #27837]: #26747 -#24648 := (uf_12 uf_7) -#27854 := (= #24648 #26775) -#27850 := (= #26775 #24648) -#27851 := [monotonicity #27849]: #27850 -#27855 := [symm #27851]: #27854 -#24649 := (= uf_14 #24648) -#24656 := (iff #11384 #24649) +#9560 := (iff #2095 #9557) +#9481 := (and #1435 #9475) +#9486 := (and #3928 #9481) +#9489 := (and #9472 #9486) +#9495 := (not #9489) +#9546 := (or #9495 #9540) +#9551 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9546) +#9558 := (iff #9551 #9557) +#9555 := (iff #9546 #9554) +#9519 := (iff #9495 #9518) +#9516 := (iff #9489 #9513) +#7778 := (and #4309 #7775) +#9504 := (and #7778 #9475) +#9507 := (and #3928 #9504) +#9510 := (and #9472 #9507) +#9514 := (iff #9510 #9513) +#9515 := [rewrite]: #9514 +#9511 := (iff #9489 #9510) +#9508 := (iff #9486 #9507) +#9505 := (iff #9481 #9504) +#7779 := (iff #1435 #7778) +#7776 := (iff #1434 #7775) +#7777 := [rewrite]: #7776 +#4308 := (iff #397 #4309) +#4310 := [rewrite]: #4308 +#7780 := [monotonicity #4310 #7777]: #7779 +#9506 := [monotonicity #7780]: #9505 +#9509 := [monotonicity #9506]: #9508 +#9512 := [monotonicity #9509]: #9511 +#9517 := [trans #9512 #9515]: #9516 +#9520 := [monotonicity #9517]: #9519 +#9556 := [monotonicity #9520]: #9555 +#9559 := [quant-intro #9556]: #9558 +#9552 := (iff #2095 #9551) +#9549 := (iff #2094 #9546) +#9543 := (implies #9489 #9540) +#9547 := (iff #9543 #9546) +#9548 := [rewrite]: #9547 +#9544 := (iff #2094 #9543) +#9541 := (iff #2093 #9540) +#9538 := (iff #2092 #9537) +#9535 := (iff #2091 #9534) +#9536 := [rewrite]: #9535 +#9539 := [monotonicity #9536]: #9538 +#9532 := (iff #2089 #9531) +#9533 := [rewrite]: #9532 +#9542 := [monotonicity #9533 #9539]: #9541 +#9490 := (iff #2078 #9489) +#9487 := (iff #2077 #9486) +#9484 := (iff #2076 #9481) +#9478 := (and #9475 #1435) +#9482 := (iff #9478 #9481) +#9483 := [rewrite]: #9482 +#9479 := (iff #2076 #9478) +#9476 := (iff #2075 #9475) +#9477 := [rewrite]: #9476 +#9480 := [monotonicity #9477]: #9479 +#9485 := [trans #9480 #9483]: #9484 +#3929 := (iff #238 #3928) +#3930 := [rewrite]: #3929 +#9488 := [monotonicity #3930 #9485]: #9487 +#9473 := (iff #2074 #9472) +#9474 := [rewrite]: #9473 +#9491 := [monotonicity #9474 #9488]: #9490 +#9545 := [monotonicity #9491 #9542]: #9544 +#9550 := [trans #9545 #9548]: #9549 +#9553 := [quant-intro #9550]: #9552 +#9561 := [trans #9553 #9559]: #9560 +#9530 := [asserted]: #2095 +#9562 := [mp #9530 #9561]: #9557 +#17459 := [mp~ #9562 #17458]: #9557 +#21366 := [mp #17459 #21365]: #21363 +#27034 := (not #21363) +#26894 := (or #27034 #24483 #26961 #27015 #27018 #27023) +#27011 := (or #27010 #27007) +#27012 := (not #27011) +#26945 := (+ 0::int #26944) +#26946 := (>= #26945 0::int) +#26947 := (>= 0::int 0::int) +#26948 := (not #26947) +#27019 := (or #27018 #26948 #26946 #24483 #27015 #27012) +#26895 := (or #27034 #27019) +#26916 := (iff #26895 #26894) +#27029 := (or #24483 #26961 #27015 #27018 #27023) +#26912 := (or #27034 #27029) +#26914 := (iff #26912 #26894) +#26915 := [rewrite]: #26914 +#26913 := (iff #26895 #26912) +#27032 := (iff #27019 #27029) +#27026 := (or #27018 false #26961 #24483 #27015 #27023) +#27030 := (iff #27026 #27029) +#27031 := [rewrite]: #27030 +#27027 := (iff #27019 #27026) +#27024 := (iff #27012 #27023) +#27021 := (iff #27011 #27020) +#27022 := [rewrite]: #27021 +#27025 := [monotonicity #27022]: #27024 +#26964 := (iff #26946 #26961) +#26958 := (>= #26944 0::int) +#26962 := (iff #26958 #26961) +#26963 := [rewrite]: #26962 +#26959 := (iff #26946 #26958) +#26956 := (= #26945 #26944) +#26957 := [rewrite]: #26956 +#26960 := [monotonicity #26957]: #26959 +#26965 := [trans #26960 #26963]: #26964 +#26954 := (iff #26948 false) +#26952 := (iff #26948 #3086) +#26950 := (iff #26947 true) +#26951 := [rewrite]: #26950 +#26953 := [monotonicity #26951]: #26952 +#26955 := [trans #26953 #11996]: #26954 +#27028 := [monotonicity #26955 #26965 #27025]: #27027 +#27033 := [trans #27028 #27031]: #27032 +#26911 := [monotonicity #27033]: #26913 +#26917 := [trans #26911 #26915]: #26916 +#26896 := [quant-inst]: #26895 +#26918 := [mp #26896 #26917]: #26894 +#27047 := [unit-resolution #26918 #21366 #14064 #26991 #28231]: #27046 +#27048 := [unit-resolution #27047 #28230]: #27023 +#26994 := (or #27020 #27009) +#26995 := [def-axiom]: #26994 +#27049 := [unit-resolution #26995 #27048 #26981]: false +#27051 := [lemma #27049]: #27050 +#28637 := [unit-resolution #27051 #28636]: #11931 +#26777 := (or #23215 #18130 #23230) +#26772 := [hypothesis]: #23227 +#26773 := [hypothesis]: #11931 +#26774 := [hypothesis]: #23218 +#24440 := (or #23215 #11928) +#24441 := [def-axiom]: #24440 +#26769 := [unit-resolution #24441 #26774]: #11928 +#24452 := (or #23221 #23215) +#24453 := [def-axiom]: #24452 +#26775 := [unit-resolution #24453 #26774]: #23221 +#24462 := (or #23230 #18127 #18130 #23224) +#24463 := [def-axiom]: #24462 +#26776 := [unit-resolution #24463 #26775 #26769 #26773 #26772]: false +#26778 := [lemma #26776]: #26777 +#28638 := [unit-resolution #26778 #28637 #28634]: #23215 +#28373 := (or #11937 #27015) +#26756 := (uf_58 #3150 #3031) +#27079 := (uf_135 #26756) +#27082 := (uf_25 uf_287 #27079) +#27083 := (= uf_26 #27082) +#27080 := (uf_210 uf_287 #27079) +#27081 := (= uf_9 #27080) +#27189 := (or #27081 #27083) +#27202 := (not #27189) +#27071 := (uf_136 #26756) +#27072 := (= uf_9 #27071) +#27073 := (not #27072) +#27069 := (uf_27 uf_287 #27079) +#27070 := (= uf_9 #27069) +#27065 := (not #27070) +#27184 := (or #27065 #27073) +#27186 := (not #27184) +#26820 := (uf_13 #3031) +#27094 := (uf_12 #26820) +#27144 := (= uf_14 #27094) +#27181 := (not #27144) +#27066 := (uf_13 #27079) +#27067 := (uf_12 #27066) +#27068 := (= uf_14 #27067) +#27227 := (or #27068 #27181 #27186 #27202) +#27231 := (not #27227) +#27100 := (uf_25 uf_287 #3031) +#27101 := (= uf_26 #27100) +#27093 := (uf_210 uf_287 #3031) +#27099 := (= uf_9 #27093) +#27146 := (or #27099 #27101) +#27149 := (not #27146) +#27192 := (or #27144 #27149) +#27195 := (not #27192) +#27239 := (or #27195 #27231) +#27243 := (not #27239) +#27240 := (or #18130 #27243) +#27248 := (not #27240) +#27255 := (iff #11937 #27248) +#27260 := (or #27259 #27255) +#27084 := (or #27083 #27081) +#27085 := (not #27084) +#27074 := (or #27073 #27065) +#27075 := (not #27074) +#27095 := (= #27094 uf_14) +#27096 := (not #27095) +#27097 := (or #27096 #27075 #27068 #27085) +#27098 := (not #27097) +#27102 := (or #27101 #27099) +#27103 := (not #27102) +#27151 := (or #27095 #27103) +#27152 := (not #27151) +#27153 := (or #27152 #27098) +#27154 := (not #27153) +#27155 := (or #18130 #27154) +#27156 := (not #27155) +#27143 := (iff #11937 #27156) +#27261 := (or #27259 #27143) +#27288 := (iff #27261 #27260) +#27290 := (iff #27260 #27260) +#27291 := [rewrite]: #27290 +#27256 := (iff #27143 #27255) +#27249 := (iff #27156 #27248) +#27246 := (iff #27155 #27240) +#27244 := (iff #27154 #27243) +#27241 := (iff #27153 #27239) +#27232 := (iff #27098 #27231) +#27229 := (iff #27097 #27227) +#27224 := (or #27181 #27186 #27068 #27202) +#27228 := (iff #27224 #27227) +#27223 := [rewrite]: #27228 +#27225 := (iff #27097 #27224) +#27203 := (iff #27085 #27202) +#27190 := (iff #27084 #27189) +#27201 := [rewrite]: #27190 +#27222 := [monotonicity #27201]: #27203 +#27187 := (iff #27075 #27186) +#27185 := (iff #27074 #27184) +#27180 := [rewrite]: #27185 +#27188 := [monotonicity #27180]: #27187 +#27182 := (iff #27096 #27181) +#27142 := (iff #27095 #27144) +#27145 := [rewrite]: #27142 +#27183 := [monotonicity #27145]: #27182 +#27226 := [monotonicity #27183 #27188 #27222]: #27225 +#27230 := [trans #27226 #27223]: #27229 +#27233 := [monotonicity #27230]: #27232 +#27196 := (iff #27152 #27195) +#27193 := (iff #27151 #27192) +#27150 := (iff #27103 #27149) +#27147 := (iff #27102 #27146) +#27148 := [rewrite]: #27147 +#27191 := [monotonicity #27148]: #27150 +#27194 := [monotonicity #27145 #27191]: #27193 +#27179 := [monotonicity #27194]: #27196 +#27242 := [monotonicity #27179 #27233]: #27241 +#27245 := [monotonicity #27242]: #27244 +#27247 := [monotonicity #27245]: #27246 +#27250 := [monotonicity #27247]: #27249 +#27257 := [monotonicity #27250]: #27256 +#27289 := [monotonicity #27257]: #27288 +#27292 := [trans #27289 #27291]: #27288 +#27287 := [quant-inst]: #27261 +#27277 := [mp #27287 #27292]: #27260 +#28168 := [unit-resolution #27277 #21776]: #27255 +#27430 := (not #27255) +#28169 := (or #27430 #27240) +#28163 := [hypothesis]: #18136 +#27433 := (or #27430 #11937 #27240) +#27434 := [def-axiom]: #27433 +#26920 := [unit-resolution #27434 #28163]: #28169 +#26921 := [unit-resolution #26920 #28168]: #27240 +#26923 := (or #27248 #27243) +#26922 := [unit-resolution #27051 #28231]: #11931 +#27431 := (or #27248 #18130 #27243) +#27432 := [def-axiom]: #27431 +#26924 := [unit-resolution #27432 #26922]: #26923 +#27055 := [unit-resolution #26924 #26921]: #27243 +#27389 := (or #27239 #27227) +#27387 := [def-axiom]: #27389 +#27157 := [unit-resolution #27387 #27055]: #27227 +#27545 := (not #27007) +#27206 := (iff #27545 #27073) +#27204 := (iff #27007 #27072) +#27199 := (= #27006 #27071) +#27160 := (= #27005 #26756) +#27161 := [monotonicity #27000]: #27160 +#27200 := [monotonicity #27161]: #27199 +#27205 := [monotonicity #27200]: #27204 +#27475 := [monotonicity #27205]: #27206 +#27546 := (or #27020 #27545) +#27547 := [def-axiom]: #27546 +#27159 := [unit-resolution #27547 #27048]: #27545 +#27476 := [mp #27159 #27475]: #27073 +#27310 := (or #27184 #27072) +#27305 := [def-axiom]: #27310 +#27477 := [unit-resolution #27305 #27476]: #27184 +#25182 := (uf_12 uf_7) +#28283 := (= #25182 #27094) +#28279 := (= #27094 #25182) +#28277 := (= #26820 uf_7) +#24758 := (uf_13 #2979) +#28275 := (= #24758 uf_7) +#24759 := (= uf_7 #24758) +#24764 := (or #24710 #24759) +#24765 := [quant-inst]: #24764 +#27482 := [unit-resolution #24765 #22949]: #24759 +#28276 := [symm #27482]: #28275 +#28273 := (= #26820 #24758) +#28256 := (= #3031 #2979) +#26851 := (uf_116 #24470) +#26867 := (uf_43 #24643 #26851) +#28252 := (= #26867 #2979) +#27548 := (= #26851 uf_288) +#28244 := (= #26851 #2980) +#28242 := (= #24470 #2979) +#24471 := (= #2979 #24470) +#93 := (uf_29 #23) +#22848 := (pattern #93) +#94 := (uf_28 #93) +#3542 := (= #23 #94) +#22849 := (forall (vars (?x14 T5)) (:pat #22848) #3542) +#3545 := (forall (vars (?x14 T5)) #3542) +#22850 := (iff #3545 #22849) +#22852 := (iff #22849 #22849) +#22853 := [rewrite]: #22852 +#22851 := [rewrite]: #22850 +#22854 := [trans #22851 #22853]: #22850 +#16026 := (~ #3545 #3545) +#16016 := (~ #3542 #3542) +#16017 := [refl]: #16016 +#16082 := [nnf-pos #16017]: #16026 +#95 := (= #94 #23) +#96 := (forall (vars (?x14 T5)) #95) +#3546 := (iff #96 #3545) +#3543 := (iff #95 #3542) +#3544 := [rewrite]: #3543 +#3547 := [quant-intro #3544]: #3546 +#3541 := [asserted]: #96 +#3550 := [mp #3541 #3547]: #3545 +#16083 := [mp~ #3550 #16082]: #3545 +#22855 := [mp #16083 #22854]: #22849 +#24474 := (not #22849) +#24475 := (or #24474 #24471) +#24476 := [quant-inst]: #24475 +#28241 := [unit-resolution #24476 #22855]: #24471 +#28243 := [symm #28241]: #28242 +#28245 := [monotonicity #28243]: #28244 +#27549 := [trans #28245 #28195]: #27548 +#28126 := [monotonicity #28190 #27549]: #28252 +#28266 := (= #3031 #26867) +#26845 := (uf_66 #24470 0::int #24643) +#26870 := (= #26845 #26867) +#26873 := (not #26870) +decl uf_138 :: (-> T5 T5 T2) +#26846 := (uf_138 #26845 #24470) +#26847 := (= uf_9 #26846) +#26848 := (not #26847) +#26879 := (or #26848 #26873) +#26884 := (not #26879) +#1576 := (uf_66 #21 #247 #233) +#1577 := (pattern #1576) +#1578 := (uf_138 #1576 #21) +#8222 := (= uf_9 #1578) +#20914 := (not #8222) +decl uf_139 :: (-> T3 int) +#1581 := (uf_139 #233) +#1582 := (* #247 #1581) +#1580 := (uf_116 #21) +#1583 := (+ #1580 #1582) +#1584 := (uf_43 #233 #1583) +#1585 := (= #1576 #1584) +#20913 := (not #1585) +#20915 := (or #20913 #20914) +#20916 := (not #20915) +#20919 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #20916) +#8228 := (and #1585 #8222) +#8233 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #8228) +#20920 := (iff #8233 #20919) +#20917 := (iff #8228 #20916) +#20918 := [rewrite]: #20917 +#20921 := [quant-intro #20918]: #20920 +#17047 := (~ #8233 #8233) +#17045 := (~ #8228 #8228) +#17046 := [refl]: #17045 +#17048 := [nnf-pos #17046]: #17047 +#1579 := (= #1578 uf_9) +#1586 := (and #1579 #1585) +#1587 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #1586) +#8234 := (iff #1587 #8233) +#8231 := (iff #1586 #8228) +#8225 := (and #8222 #1585) +#8229 := (iff #8225 #8228) +#8230 := [rewrite]: #8229 +#8226 := (iff #1586 #8225) +#8223 := (iff #1579 #8222) +#8224 := [rewrite]: #8223 +#8227 := [monotonicity #8224]: #8226 +#8232 := [trans #8227 #8230]: #8231 +#8235 := [quant-intro #8232]: #8234 +#8221 := [asserted]: #1587 +#8238 := [mp #8221 #8235]: #8233 +#17049 := [mp~ #8238 #17048]: #8233 +#20922 := [mp #17049 #20921]: #20919 +#26887 := (not #20919) +#26833 := (or #26887 #26884) +#26849 := (uf_139 #24643) +#26850 := (* 0::int #26849) +#26852 := (+ #26851 #26850) +#26853 := (uf_43 #24643 #26852) +#26854 := (= #26845 #26853) +#26855 := (not #26854) +#26856 := (or #26855 #26848) +#26857 := (not #26856) +#26834 := (or #26887 #26857) +#26919 := (iff #26834 #26833) +#26993 := (iff #26833 #26833) +#26996 := [rewrite]: #26993 +#26885 := (iff #26857 #26884) +#26882 := (iff #26856 #26879) +#26876 := (or #26873 #26848) +#26880 := (iff #26876 #26879) +#26881 := [rewrite]: #26880 +#26877 := (iff #26856 #26876) +#26874 := (iff #26855 #26873) +#26871 := (iff #26854 #26870) +#26868 := (= #26853 #26867) +#26865 := (= #26852 #26851) +#26860 := (+ #26851 0::int) +#26863 := (= #26860 #26851) +#26864 := [rewrite]: #26863 +#26861 := (= #26852 #26860) +#26858 := (= #26850 0::int) +#26859 := [rewrite]: #26858 +#26862 := [monotonicity #26859]: #26861 +#26866 := [trans #26862 #26864]: #26865 +#26869 := [monotonicity #26866]: #26868 +#26872 := [monotonicity #26869]: #26871 +#26875 := [monotonicity #26872]: #26874 +#26878 := [monotonicity #26875]: #26877 +#26883 := [trans #26878 #26881]: #26882 +#26886 := [monotonicity #26883]: #26885 +#26992 := [monotonicity #26886]: #26919 +#26997 := [trans #26992 #26996]: #26919 +#26897 := [quant-inst]: #26834 +#26987 := [mp #26897 #26997]: #26833 +#27579 := [unit-resolution #26987 #20922]: #26884 +#27037 := (or #26879 #26870) +#27038 := [def-axiom]: #27037 +#27634 := [unit-resolution #27038 #27579]: #26870 +#28085 := (= #3031 #26845) +#28125 := [monotonicity #28241 #28188]: #28085 +#28267 := [trans #28125 #27634]: #28266 +#28257 := [trans #28267 #28126]: #28256 +#28274 := [monotonicity #28257]: #28273 +#28278 := [trans #28274 #28276]: #28277 +#28280 := [monotonicity #28278]: #28279 +#28284 := [symm #28280]: #28283 +#25183 := (= uf_14 #25182) +#25190 := (iff #11386 #25183) #2308 := (pattern #237) #2836 := (uf_12 #233) -#11557 := (= uf_14 #2836) -#11561 := (iff #3926 #11557) -#11564 := (forall (vars (?x761 T3)) (:pat #2308) #11561) -#17583 := (~ #11564 #11564) -#17581 := (~ #11561 #11561) -#17582 := [refl]: #17581 -#17584 := [nnf-pos #17582]: #17583 +#11559 := (= uf_14 #2836) +#11563 := (iff #3928 #11559) +#11566 := (forall (vars (?x761 T3)) (:pat #2308) #11563) +#18084 := (~ #11566 #11566) +#18082 := (~ #11563 #11563) +#18083 := [refl]: #18082 +#18085 := [nnf-pos #18083]: #18084 #2849 := (= #2836 uf_14) #2850 := (iff #238 #2849) #2851 := (forall (vars (?x761 T3)) (:pat #2308) #2850) -#11565 := (iff #2851 #11564) -#11562 := (iff #2850 #11561) -#11559 := (iff #2849 #11557) -#11560 := [rewrite]: #11559 -#11563 := [monotonicity #3928 #11560]: #11562 -#11566 := [quant-intro #11563]: #11565 -#11556 := [asserted]: #2851 -#11569 := [mp #11556 #11566]: #11564 -#17585 := [mp~ #11569 #17584]: #11564 -#24280 := (not #11564) -#24659 := (or #24280 #24656) -#24660 := [quant-inst]: #24659 -#27839 := [unit-resolution #24660 #17585]: #24656 -#24661 := (not #24656) -#27840 := (or #24661 #24649) -#24665 := (not #11384) -#24666 := (or #24661 #24665 #24649) -#24667 := [def-axiom]: #24666 -#27841 := [unit-resolution #24667 #11390]: #27840 -#27842 := [unit-resolution #27841 #27839]: #24649 -#27856 := [trans #27842 #27855]: #26938 -#27751 := (not #26757) -#27930 := (iff #11876 #27751) -#27928 := (iff #11873 #26757) -#27926 := (iff #26757 #11873) -#27924 := (= #26756 #2990) -#27922 := (= #26755 #2977) -#27918 := (= #26755 #24228) -#27916 := (= #26748 #2981) -#27914 := (= #26748 #26392) -#26393 := (uf_66 #26392 0::int #24108) -#26397 := (uf_58 #3175 #26393) -#26400 := (uf_135 #26397) -#27912 := (= #26400 #26392) -#26401 := (= #26392 #26400) -#26403 := (up_67 #26397) -#26404 := (not #26403) -#26402 := (not #26401) -#26398 := (uf_136 #26397) -#26399 := (= uf_9 #26398) -#26394 := (uf_24 uf_287 #26393) -#26395 := (= uf_9 #26394) -#26396 := (not #26395) -#26432 := (or #26396 #26399 #26402 #26404) -#26435 := (not #26432) -#26407 := (uf_24 uf_287 #26392) -#26408 := (= uf_9 #26407) -#27867 := (= #2988 #26407) -#27864 := (= #26407 #2988) -#27865 := [monotonicity #27863]: #27864 -#27868 := [symm #27865]: #27867 -#27869 := [trans #13532 #27868]: #26408 -#26409 := (not #26408) -#27870 := (or #26409 #26435) +#11567 := (iff #2851 #11566) +#11564 := (iff #2850 #11563) +#11561 := (iff #2849 #11559) +#11562 := [rewrite]: #11561 +#11565 := [monotonicity #3930 #11562]: #11564 +#11568 := [quant-intro #11565]: #11567 +#11558 := [asserted]: #2851 +#11571 := [mp #11558 #11568]: #11566 +#18086 := [mp~ #11571 #18085]: #11566 +#24814 := (not #11566) +#25193 := (or #24814 #25190) +#25194 := [quant-inst]: #25193 +#27478 := [unit-resolution #25194 #18086]: #25190 +#25195 := (not #25190) +#27479 := (or #25195 #25183) +#25199 := (not #11386) +#25200 := (or #25195 #25199 #25183) +#25201 := [def-axiom]: #25200 +#27480 := [unit-resolution #25201 #11392]: #27479 +#27481 := [unit-resolution #27480 #27478]: #25183 +#28285 := [trans #27481 #28284]: #27144 +#27341 := (not #27068) +#28362 := (iff #11878 #27341) +#28360 := (iff #11875 #27068) +#28358 := (iff #27068 #11875) +#28356 := (= #27067 #2990) +#28354 := (= #27066 #2977) +#28350 := (= #27066 #24763) +#28348 := (= #27079 #2981) +#28346 := (= #27079 #26926) +#26927 := (uf_66 #26926 0::int #24643) +#26931 := (uf_58 #3150 #26927) +#26934 := (uf_135 #26931) +#28344 := (= #26934 #26926) +#26935 := (= #26926 #26934) +#26937 := (up_67 #26931) +#26938 := (not #26937) +#26936 := (not #26935) +#26932 := (uf_136 #26931) +#26933 := (= uf_9 #26932) +#26928 := (uf_24 uf_287 #26927) +#26929 := (= uf_9 #26928) +#26930 := (not #26929) +#26966 := (or #26930 #26933 #26936 #26938) +#26969 := (not #26966) +#26941 := (uf_24 uf_287 #26926) +#26942 := (= uf_9 #26941) +#28296 := (= #2988 #26941) +#28293 := (= #26941 #2988) +#28294 := [monotonicity #28292]: #28293 +#28297 := [symm #28294]: #28296 +#28298 := [trans #14077 #28297]: #26942 +#26943 := (not #26942) +#28299 := (or #26943 #26969) #277 := (:var 3 int) #310 := (:var 2 T3) #1470 := (uf_124 #310 #247) @@ -5668,59 +6184,59 @@ #1472 := (pattern #1469 #1471) #1478 := (uf_66 #1471 #161 #310) #1486 := (uf_24 #35 #1478) -#7931 := (= uf_9 #1486) -#20090 := (not #7931) +#7933 := (= uf_9 #1486) +#20690 := (not #7933) #1479 := (uf_58 #1473 #1478) #1482 := (uf_136 #1479) -#7925 := (= uf_9 #1482) +#7927 := (= uf_9 #1482) #1480 := (uf_135 #1479) -#7922 := (= #1471 #1480) -#20089 := (not #7922) +#7924 := (= #1471 #1480) +#20689 := (not #7924) #1485 := (up_67 #1479) -#20088 := (not #1485) -#20091 := (or #20088 #20089 #7925 #20090) -#20092 := (not #20091) +#20688 := (not #1485) +#20691 := (or #20688 #20689 #7927 #20690) +#20692 := (not #20691) #1476 := (uf_24 #35 #1471) -#7919 := (= uf_9 #1476) -#7954 := (not #7919) -#5234 := (* -1::int #247) -#6114 := (+ #161 #5234) -#6115 := (>= #6114 0::int) -#20098 := (or #4963 #6115 #7954 #20092) -#20103 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #20098) -#7928 := (not #7925) -#7963 := (and #1485 #7922 #7928 #7931) -#7618 := (not #6115) -#7621 := (and #4041 #7618) -#7624 := (not #7621) -#7972 := (or #7624 #7954 #7963) -#7977 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7972) -#20104 := (iff #7977 #20103) -#20101 := (iff #7972 #20098) -#19973 := (or #4963 #6115) -#20095 := (or #19973 #7954 #20092) -#20099 := (iff #20095 #20098) -#20100 := [rewrite]: #20099 -#20096 := (iff #7972 #20095) -#20093 := (iff #7963 #20092) -#20094 := [rewrite]: #20093 -#19982 := (iff #7624 #19973) -#19974 := (not #19973) -#19977 := (not #19974) -#19980 := (iff #19977 #19973) -#19981 := [rewrite]: #19980 -#19978 := (iff #7624 #19977) -#19975 := (iff #7621 #19974) -#19976 := [rewrite]: #19975 -#19979 := [monotonicity #19976]: #19978 -#19983 := [trans #19979 #19981]: #19982 -#20097 := [monotonicity #19983 #20094]: #20096 -#20102 := [trans #20097 #20100]: #20101 -#20105 := [quant-intro #20102]: #20104 -#16323 := (~ #7977 #7977) -#16321 := (~ #7972 #7972) -#16322 := [refl]: #16321 -#16324 := [nnf-pos #16322]: #16323 +#7921 := (= uf_9 #1476) +#7956 := (not #7921) +#5236 := (* -1::int #247) +#6116 := (+ #161 #5236) +#6117 := (>= #6116 0::int) +#20698 := (or #4965 #6117 #7956 #20692) +#20703 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #20698) +#7930 := (not #7927) +#7965 := (and #1485 #7924 #7930 #7933) +#7620 := (not #6117) +#7623 := (and #4043 #7620) +#7626 := (not #7623) +#7974 := (or #7626 #7956 #7965) +#7979 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7974) +#20704 := (iff #7979 #20703) +#20701 := (iff #7974 #20698) +#20573 := (or #4965 #6117) +#20695 := (or #20573 #7956 #20692) +#20699 := (iff #20695 #20698) +#20700 := [rewrite]: #20699 +#20696 := (iff #7974 #20695) +#20693 := (iff #7965 #20692) +#20694 := [rewrite]: #20693 +#20582 := (iff #7626 #20573) +#20574 := (not #20573) +#20577 := (not #20574) +#20580 := (iff #20577 #20573) +#20581 := [rewrite]: #20580 +#20578 := (iff #7626 #20577) +#20575 := (iff #7623 #20574) +#20576 := [rewrite]: #20575 +#20579 := [monotonicity #20576]: #20578 +#20583 := [trans #20579 #20581]: #20582 +#20697 := [monotonicity #20583 #20694]: #20696 +#20702 := [trans #20697 #20700]: #20701 +#20705 := [quant-intro #20702]: #20704 +#16824 := (~ #7979 #7979) +#16822 := (~ #7974 #7974) +#16823 := [refl]: #16822 +#16825 := [nnf-pos #16823]: #16824 #1487 := (= #1486 uf_9) #1488 := (and #1485 #1487) #1483 := (= #1482 uf_9) @@ -5734,1585 +6250,1541 @@ #1477 := (= #1476 uf_9) #1492 := (implies #1477 #1491) #1493 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #1492) -#7980 := (iff #1493 #7977) -#7934 := (and #1485 #7931) -#7937 := (and #7928 #7934) -#7940 := (and #7922 #7937) -#7588 := (not #1372) -#7946 := (or #7588 #7940) -#7955 := (or #7954 #7946) -#7960 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7955) -#7978 := (iff #7960 #7977) -#7975 := (iff #7955 #7972) -#7966 := (or #7624 #7963) -#7969 := (or #7954 #7966) -#7973 := (iff #7969 #7972) -#7974 := [rewrite]: #7973 -#7970 := (iff #7955 #7969) -#7967 := (iff #7946 #7966) -#7964 := (iff #7940 #7963) -#7965 := [rewrite]: #7964 -#7625 := (iff #7588 #7624) -#7622 := (iff #1372 #7621) -#7619 := (iff #1371 #7618) -#7620 := [rewrite]: #7619 -#7623 := [monotonicity #4040 #7620]: #7622 -#7626 := [monotonicity #7623]: #7625 -#7968 := [monotonicity #7626 #7965]: #7967 -#7971 := [monotonicity #7968]: #7970 -#7976 := [trans #7971 #7974]: #7975 -#7979 := [quant-intro #7976]: #7978 -#7961 := (iff #1493 #7960) -#7958 := (iff #1492 #7955) -#7951 := (implies #7919 #7946) -#7956 := (iff #7951 #7955) -#7957 := [rewrite]: #7956 -#7952 := (iff #1492 #7951) -#7949 := (iff #1491 #7946) -#7943 := (implies #1372 #7940) -#7947 := (iff #7943 #7946) -#7948 := [rewrite]: #7947 -#7944 := (iff #1491 #7943) -#7941 := (iff #1490 #7940) -#7938 := (iff #1489 #7937) -#7935 := (iff #1488 #7934) -#7932 := (iff #1487 #7931) -#7933 := [rewrite]: #7932 -#7936 := [monotonicity #7933]: #7935 -#7929 := (iff #1484 #7928) -#7926 := (iff #1483 #7925) -#7927 := [rewrite]: #7926 -#7930 := [monotonicity #7927]: #7929 -#7939 := [monotonicity #7930 #7936]: #7938 -#7923 := (iff #1481 #7922) -#7924 := [rewrite]: #7923 -#7942 := [monotonicity #7924 #7939]: #7941 -#7945 := [monotonicity #7942]: #7944 -#7950 := [trans #7945 #7948]: #7949 -#7920 := (iff #1477 #7919) -#7921 := [rewrite]: #7920 -#7953 := [monotonicity #7921 #7950]: #7952 -#7959 := [trans #7953 #7957]: #7958 -#7962 := [quant-intro #7959]: #7961 -#7981 := [trans #7962 #7979]: #7980 -#7918 := [asserted]: #1493 -#7982 := [mp #7918 #7981]: #7977 -#16325 := [mp~ #7982 #16324]: #7977 -#20106 := [mp #16325 #20105]: #20103 -#26542 := (not #20103) -#26543 := (or #26542 #26409 #26427 #26435) -#26405 := (or #26404 #26402 #26399 #26396) -#26406 := (not #26405) -#26415 := (or #26414 #26412 #26409 #26406) -#26544 := (or #26542 #26415) -#26551 := (iff #26544 #26543) -#26441 := (or #26409 #26427 #26435) -#26546 := (or #26542 #26441) -#26549 := (iff #26546 #26543) -#26550 := [rewrite]: #26549 -#26547 := (iff #26544 #26546) -#26444 := (iff #26415 #26441) -#26438 := (or false #26427 #26409 #26435) -#26442 := (iff #26438 #26441) -#26443 := [rewrite]: #26442 -#26439 := (iff #26415 #26438) -#26436 := (iff #26406 #26435) -#26433 := (iff #26405 #26432) -#26434 := [rewrite]: #26433 -#26437 := [monotonicity #26434]: #26436 -#26440 := [monotonicity #26421 #26431 #26437]: #26439 -#26445 := [trans #26440 #26443]: #26444 -#26548 := [monotonicity #26445]: #26547 -#26532 := [trans #26548 #26550]: #26551 -#26545 := [quant-inst]: #26544 -#26533 := [mp #26545 #26532]: #26543 -#27871 := [unit-resolution #26533 #20106 #26457]: #27870 -#27872 := [unit-resolution #27871 #27869]: #26435 -#26538 := (or #26432 #26401) -#26539 := [def-axiom]: #26538 -#27873 := [unit-resolution #26539 #27872]: #26401 -#27913 := [symm #27873]: #27912 -#27910 := (= #26748 #26400) -#27908 := (= #26742 #26397) -#27906 := (= #26222 #26397) -#27904 := (= #26397 #26222) -#27902 := (= #26393 #3044) -#27900 := (= #26393 #26311) -#27898 := (= #26393 #26333) -#27896 := (= #26393 #2979) -#26574 := (uf_116 #25399) -#26588 := (uf_43 #24108 #26574) -#27892 := (= #26588 #2979) -#27884 := (= #26574 uf_288) -#27882 := (= #26574 #2980) -#27880 := (= #24010 #2980) -#24234 := (= #2980 #24010) -#24239 := (or #24181 #24234) -#24240 := [quant-inst]: #24239 -#27874 := [unit-resolution #24240 #22411]: #24234 -#27881 := [symm #27874]: #27880 -#27878 := (= #26574 #24010) -#27879 := [monotonicity #27877]: #27878 -#27883 := [trans #27879 #27881]: #27882 -#27885 := [trans #27883 #27661]: #27884 -#27893 := [monotonicity #27656 #27885]: #27892 -#27894 := (= #26393 #26588) -#26570 := (uf_66 #25399 0::int #24108) -#26591 := (= #26570 #26588) -#26594 := (not #26591) -#26571 := (uf_138 #26570 #25399) -#26572 := (= uf_9 #26571) -#26573 := (not #26572) -#26600 := (or #26573 #26594) -#26605 := (not #26600) -#26652 := (or #26353 #26605) -#26575 := (+ #26574 #26316) -#26576 := (uf_43 #24108 #26575) -#26577 := (= #26570 #26576) -#26578 := (not #26577) -#26579 := (or #26578 #26573) -#26580 := (not #26579) -#26653 := (or #26353 #26580) -#26655 := (iff #26653 #26652) -#26667 := (iff #26652 #26652) -#26668 := [rewrite]: #26667 -#26606 := (iff #26580 #26605) -#26603 := (iff #26579 #26600) -#26597 := (or #26594 #26573) -#26601 := (iff #26597 #26600) -#26602 := [rewrite]: #26601 -#26598 := (iff #26579 #26597) -#26595 := (iff #26578 #26594) -#26592 := (iff #26577 #26591) -#26589 := (= #26576 #26588) -#26586 := (= #26575 #26574) -#26581 := (+ #26574 0::int) -#26584 := (= #26581 #26574) -#26585 := [rewrite]: #26584 -#26582 := (= #26575 #26581) -#26583 := [monotonicity #26325]: #26582 -#26587 := [trans #26583 #26585]: #26586 -#26590 := [monotonicity #26587]: #26589 -#26593 := [monotonicity #26590]: #26592 -#26596 := [monotonicity #26593]: #26595 -#26599 := [monotonicity #26596]: #26598 -#26604 := [trans #26599 #26602]: #26603 -#26607 := [monotonicity #26604]: #26606 -#26656 := [monotonicity #26607]: #26655 -#26669 := [trans #26656 #26668]: #26655 -#26654 := [quant-inst]: #26653 -#26688 := [mp #26654 #26669]: #26652 -#27886 := [unit-resolution #26688 #20322]: #26605 -#26692 := (or #26600 #26591) -#26693 := [def-axiom]: #26692 -#27887 := [unit-resolution #26693 #27886]: #26591 -#27890 := (= #26393 #26570) -#27891 := [monotonicity #27889]: #27890 -#27895 := [trans #27891 #27887]: #27894 -#27897 := [trans #27895 #27893]: #27896 -#27899 := [trans #27897 #27790]: #27898 -#27901 := [trans #27899 #27792]: #27900 -#27903 := [trans #27901 #27794]: #27902 -#27905 := [monotonicity #27903]: #27904 -#27907 := [symm #27905]: #27906 -#27909 := [trans #27822 #27907]: #27908 -#27911 := [monotonicity #27909]: #27910 -#27915 := [trans #27911 #27913]: #27914 -#27917 := [trans #27915 #27863]: #27916 -#27919 := [monotonicity #27917]: #27918 -#27923 := [trans #27919 #27921]: #27922 -#27925 := [monotonicity #27923]: #27924 -#27927 := [monotonicity #27925]: #27926 -#27929 := [symm #27927]: #27928 -#27931 := [monotonicity #27929]: #27930 -#27932 := [mp #13533 #27931]: #27751 -#27936 := (= #2984 #26751) -#27933 := (= #26751 #2984) -#27934 := [monotonicity #27917]: #27933 -#27937 := [symm #27934]: #27936 -#27938 := [trans #13530 #27937]: #26752 -#27744 := (not #26752) -#27745 := (or #27416 #27744) -#27746 := [def-axiom]: #27745 -#27939 := [unit-resolution #27746 #27938]: #27416 -#27758 := (or #27005 #26774 #26757 #27415 #27420) -#27759 := [def-axiom]: #27758 -#27940 := [unit-resolution #27759 #27939 #27932 #27856 #27838]: #27005 -#27762 := (or #27012 #27536) -#27763 := [def-axiom]: #27762 -#27941 := [unit-resolution #27763 #27940 #27819]: false -#27943 := [lemma #27941]: #27942 -#28112 := [unit-resolution #27943 #28095]: #28103 -#28113 := [unit-resolution #28112 #28102]: #11979 -#23911 := (or #22686 #17631 #17640 #22680) -#23912 := [def-axiom]: #23911 -#28111 := [unit-resolution #23912 #28113 #26648 #28087]: #22680 -#23901 := (or #22677 #22671) -#23902 := [def-axiom]: #23901 -#28114 := [unit-resolution #23902 #28111]: #22671 -#28072 := [hypothesis]: #12866 -#28073 := [th-lemma #13542 #28072]: false -#28074 := [lemma #28073]: #12863 -#23887 := (or #22674 #12866 #22668) -#23888 := [def-axiom]: #23887 -#28115 := [unit-resolution #23888 #28074 #28114]: #22668 -#23879 := (or #22665 #22659) -#23880 := [def-axiom]: #23879 -#28116 := [unit-resolution #23880 #28115]: #22659 -#23889 := (or #22677 #3055) -#23890 := [def-axiom]: #23889 -#28117 := [unit-resolution #23890 #28111]: #3055 -#26943 := [hypothesis]: #22641 -#26945 := (or #22650 #17676 #22644) -#23863 := (or #22650 #17676 #12740 #22644) -#23864 := [def-axiom]: #23863 -#26946 := [unit-resolution #23864 #13542]: #26945 -#28110 := [unit-resolution #26946 #26943 #28117]: #22650 -#23867 := (or #22653 #22647) -#23868 := [def-axiom]: #23867 -#28118 := [unit-resolution #23868 #28110]: #22653 -#27722 := (or #17676 #17653 #22662 #22644) -#26876 := (* -1::int #3054) -#26877 := (+ uf_295 #26876) -#26878 := (>= #26877 0::int) -#26623 := (not #26878) -#27630 := [hypothesis]: #17654 -#23562 := (not #17662) -#26942 := [hypothesis]: #22659 -#26944 := [hypothesis]: #3055 -#26947 := [unit-resolution #26946 #26944 #26943]: #22650 -#26948 := [unit-resolution #23868 #26947]: #22653 -#23875 := (or #22662 #21419 #22656) -#23876 := [def-axiom]: #23875 -#27014 := [unit-resolution #23876 #26948 #26942]: #21419 -#23563 := (or #21414 #23562) -#23564 := [def-axiom]: #23563 -#27015 := [unit-resolution #23564 #27014]: #23562 -#23560 := (or #21414 #17655) -#23561 := [def-axiom]: #23560 -#27045 := [unit-resolution #23561 #27014]: #17655 -#26624 := (or #26623 #17662 #21399 #17653) -#27616 := [hypothesis]: #26878 -#27617 := [hypothesis]: #23562 -#27037 := (+ #3054 #17660) -#27039 := (>= #27037 0::int) -#27036 := (= #3054 #17659) -#27629 := (= #17659 #3054) -#27633 := (= #17658 #3044) -#27614 := (= ?x773!13 0::int) -#27631 := [hypothesis]: #17655 -#27632 := [th-lemma #27631 #27630]: #27614 -#27634 := [monotonicity #27632]: #27633 -#27635 := [monotonicity #27634]: #27629 -#26386 := [symm #27635]: #27036 -#26387 := (not #27036) -#26388 := (or #26387 #27039) -#26389 := [th-lemma]: #26388 -#26390 := [unit-resolution #26389 #26386]: #27039 -#26521 := [th-lemma #26390 #27617 #27616]: false -#26625 := [lemma #26521]: #26624 -#27100 := [unit-resolution #26625 #27045 #27015 #27630]: #26623 -#27551 := (or #17676 #26878) -#27591 := [th-lemma]: #27551 -#27592 := [unit-resolution #27591 #26944 #27100]: false -#27723 := [lemma #27592]: #27722 -#28119 := [unit-resolution #27723 #26943 #28117 #28116]: #17653 -#23558 := (or #21414 #17654) -#23559 := [def-axiom]: #23558 -#28120 := [unit-resolution #23559 #28119]: #21414 -#28121 := [unit-resolution #23876 #28120 #28118 #28116]: false -#28122 := [lemma #28121]: #22644 -#23841 := (or #22641 #13392) -#23842 := [def-axiom]: #23841 -#29445 := [unit-resolution #23842 #28122]: #13392 -#27504 := (not #27503) -#29446 := [hypothesis]: #27504 -#28547 := (+ uf_298 #28457) -#28548 := (<= #28547 0::int) -#28874 := (not #28214) -#28877 := (or #28874 #28548) -#28878 := [th-lemma]: #28877 -#28879 := [unit-resolution #28878 #28873]: #28548 -#29447 := [th-lemma #28879 #29446 #29445 #29444]: false -#29448 := [lemma #29447]: #27503 -#27512 := (* -1::int #27482) -#27513 := (+ #24110 #27512) -#27514 := (<= #27513 0::int) -#27685 := (not #27514) -#27640 := (+ uf_298 #27512) -#27642 := (>= #27640 0::int) -#28549 := (>= #28547 0::int) -#29966 := (or #28874 #28549) -#29967 := [th-lemma]: #29966 -#29968 := [unit-resolution #29967 #28873]: #28549 -#29981 := (not #28549) -#29823 := (or #27642 #29981) -#28076 := (<= #28081 0::int) -#29972 := (or #29442 #28076) -#29973 := [th-lemma]: #29972 -#29974 := [unit-resolution #29973 #29441]: #28076 -#29980 := (not #28076) -#29822 := (or #27642 #29980 #29981) -#29806 := [th-lemma]: #29822 -#29824 := [unit-resolution #29806 #29974]: #29823 -#29825 := [unit-resolution #29824 #29968]: #27642 -#26869 := (uf_66 #26333 uf_297 #26868) -#26870 := (uf_125 #26869 #26333) -#26951 := (>= #26870 0::int) -#26967 := (* -1::int #26870) -#27040 := (+ uf_297 #26967) -#27041 := (<= #27040 0::int) -#28165 := (uf_66 #23935 uf_297 #26369) -#28166 := (uf_125 #28165 #23935) -#28318 := (* -1::int #28166) -#28542 := (+ uf_297 #28318) -#28543 := (<= #28542 0::int) -#28167 := (= uf_297 #28166) -#28235 := (or #26376 #28167) -#28236 := [quant-inst]: #28235 -#29826 := [unit-resolution #28236 #16290]: #28167 -#29683 := (not #28167) -#29774 := (or #29683 #28543) -#29726 := [th-lemma]: #29774 -#29779 := [unit-resolution #29726 #29826]: #28543 -#28480 := (not #28543) -#28695 := (or #27041 #28480) -#28077 := (+ #26870 #28318) -#28079 := (>= #28077 0::int) -#28075 := (= #26870 #28166) -#29841 := (= #28166 #26870) -#29845 := (= #28165 #26869) -#29730 := (= #3100 #26869) -#29728 := (= #26869 #3100) -#29729 := [monotonicity #27789 #29424]: #29728 -#29731 := [symm #29729]: #29730 -#29679 := (= #28165 #3100) -#29727 := [monotonicity #27709 #27849]: #29679 -#28496 := [trans #29727 #29731]: #29845 -#28499 := [monotonicity #28496 #27796]: #29841 -#28479 := [symm #28499]: #28075 -#28498 := (not #28075) -#29842 := (or #28498 #28079) -#29843 := [th-lemma]: #29842 -#29844 := [unit-resolution #29843 #28479]: #28079 -#29828 := (not #28079) -#28495 := (or #27041 #29828 #28480) -#28481 := [th-lemma]: #28495 -#29827 := [unit-resolution #28481 #29844]: #28695 -#28696 := [unit-resolution #29827 #29779]: #27041 -#28864 := (not #27041) -#28989 := (or #26951 #28864) -#23833 := (or #22641 #12910) -#23834 := [def-axiom]: #23833 -#28862 := [unit-resolution #23834 #28122]: #12910 -#28497 := (or #26951 #21602 #28864) -#28963 := [th-lemma]: #28497 -#28984 := [unit-resolution #28963 #28862]: #28989 -#28691 := [unit-resolution #28984 #28696]: #26951 -#26952 := (not #26951) -#28840 := (or #22629 #26952) -#23851 := (or #22641 #22477) -#23852 := [def-axiom]: #23851 -#28540 := [unit-resolution #23852 #28122]: #22477 -#23825 := (or #22641 #12030) -#23826 := [def-axiom]: #23825 -#28875 := [unit-resolution #23826 #28122]: #12030 -#23847 := (or #22641 #15096) -#23848 := [def-axiom]: #23847 -#28849 := [unit-resolution #23848 #28122]: #15096 -#23837 := (or #22641 #13359) -#23838 := [def-axiom]: #23837 -#28859 := [unit-resolution #23838 #28122]: #13359 -#27404 := (or #22629 #26952 #13358 #21769 #21761 #22482) -#27249 := (uf_66 #2979 #26870 uf_7) -#27250 := (uf_110 uf_287 #27249) -#27253 := (= uf_302 #27250) -#27359 := (= #3101 #27250) -#27372 := (= #27250 #3101) -#27366 := (= #27249 #3100) -#27364 := (= #26870 uf_297) -#26871 := (= uf_297 #26870) -#26874 := (or #26376 #26871) -#26875 := [quant-inst]: #26874 -#27363 := [unit-resolution #26875 #16290]: #26871 -#27365 := [symm #27363]: #27364 -#27367 := [monotonicity #27365]: #27366 -#27373 := [monotonicity #27367]: #27372 -#27374 := [symm #27373]: #27359 -#27375 := (= uf_302 #3101) -#27368 := [hypothesis]: #12030 -#27369 := [hypothesis]: #22632 -#23793 := (or #22629 #12122) -#23794 := [def-axiom]: #23793 -#27370 := [unit-resolution #23794 #27369]: #12122 -#27371 := [symm #27370]: #3129 -#27376 := [trans #27371 #27368]: #27375 -#27377 := [trans #27376 #27374]: #27253 -#27234 := (<= #26870 4294967295::int) -#27378 := [hypothesis]: #15096 -#27042 := (>= #27040 0::int) -#27379 := (not #26871) -#27380 := (or #27379 #27042) -#27381 := [th-lemma]: #27380 -#27382 := [unit-resolution #27381 #27363]: #27042 -#27383 := (not #27042) -#27384 := (or #27234 #21769 #27383) -#27385 := [th-lemma]: #27384 -#27386 := [unit-resolution #27385 #27382 #27378]: #27234 -#27276 := (+ uf_286 #26967) -#27277 := (<= #27276 0::int) -#27388 := (not #27277) -#27387 := [hypothesis]: #13359 -#27389 := (or #27388 #13358 #27383) -#27390 := [th-lemma]: #27389 -#27391 := [unit-resolution #27390 #27382 #27387]: #27388 -#27256 := (not #27253) -#27235 := (not #27234) -#27401 := (or #27235 #27256 #27277) -#27392 := [hypothesis]: #26951 -#23801 := (or #22629 #22623) -#23802 := [def-axiom]: #23801 -#27393 := [unit-resolution #23802 #27369]: #22623 -#27046 := (+ uf_296 #13286) -#27049 := (<= #27046 0::int) -#27394 := (or #21741 #27049) -#27395 := [th-lemma]: #27394 -#27396 := [unit-resolution #27395 #27370]: #27049 -#27300 := [hypothesis]: #22477 -#23799 := (or #22629 #12967) -#23800 := [def-axiom]: #23799 -#27397 := [unit-resolution #23800 #27369]: #12967 -#27291 := (not #27049) -#27306 := (or #21724 #12968 #22482 #27291) -#27294 := [hypothesis]: #12967 -#27117 := (+ uf_298 #18168) -#27118 := (<= #27117 0::int) -#27129 := (+ uf_296 #18155) -#27130 := (>= #27129 0::int) -#27290 := (not #27130) -#27284 := [hypothesis]: #27049 -#23774 := (not #18157) -#27295 := [hypothesis]: #21729 -#23775 := (or #21724 #23774) -#23776 := [def-axiom]: #23775 -#27296 := [unit-resolution #23776 #27295]: #23774 -#27292 := (or #27290 #18157 #27291) -#27285 := [hypothesis]: #23774 -#27288 := [hypothesis]: #27130 -#27289 := [th-lemma #27288 #27285 #27284]: false -#27293 := [lemma #27289]: #27292 -#27297 := [unit-resolution #27293 #27296 #27284]: #27290 -#27301 := (or #27118 #27130) -#23772 := (or #21724 #17870) -#23773 := [def-axiom]: #23772 -#27298 := [unit-resolution #23773 #27295]: #17870 -#23770 := (or #21724 #17866) -#23771 := [def-axiom]: #23770 -#27299 := [unit-resolution #23771 #27295]: #17866 -#27143 := (or #22482 #21708 #21709 #27118 #27130) -#27106 := (+ #17874 #13378) -#27107 := (<= #27106 0::int) -#27108 := (+ ?x776!15 #12965) -#27109 := (>= #27108 0::int) -#27110 := (or #21709 #27109 #27107 #21708) -#27144 := (or #22482 #27110) -#27151 := (iff #27144 #27143) -#27138 := (or #21708 #21709 #27118 #27130) -#27146 := (or #22482 #27138) -#27149 := (iff #27146 #27143) -#27150 := [rewrite]: #27149 -#27147 := (iff #27144 #27146) -#27141 := (iff #27110 #27138) -#27135 := (or #21709 #27118 #27130 #21708) -#27139 := (iff #27135 #27138) -#27140 := [rewrite]: #27139 -#27136 := (iff #27110 #27135) -#27133 := (iff #27107 #27130) -#27123 := (+ #13378 #17874) -#27126 := (<= #27123 0::int) -#27131 := (iff #27126 #27130) -#27132 := [rewrite]: #27131 -#27127 := (iff #27107 #27126) -#27124 := (= #27106 #27123) -#27125 := [rewrite]: #27124 -#27128 := [monotonicity #27125]: #27127 -#27134 := [trans #27128 #27132]: #27133 -#27121 := (iff #27109 #27118) -#27111 := (+ #12965 ?x776!15) -#27114 := (>= #27111 0::int) -#27119 := (iff #27114 #27118) -#27120 := [rewrite]: #27119 -#27115 := (iff #27109 #27114) -#27112 := (= #27108 #27111) -#27113 := [rewrite]: #27112 -#27116 := [monotonicity #27113]: #27115 -#27122 := [trans #27116 #27120]: #27121 -#27137 := [monotonicity #27122 #27134]: #27136 -#27142 := [trans #27137 #27140]: #27141 -#27148 := [monotonicity #27142]: #27147 -#27152 := [trans #27148 #27150]: #27151 -#27145 := [quant-inst]: #27144 -#27153 := [mp #27145 #27152]: #27143 -#27302 := [unit-resolution #27153 #27300 #27299 #27298]: #27301 -#27303 := [unit-resolution #27302 #27297]: #27118 -#23777 := (or #21724 #18175) -#23778 := [def-axiom]: #23777 -#27304 := [unit-resolution #23778 #27295]: #18175 -#27305 := [th-lemma #27304 #27303 #27294]: false -#27307 := [lemma #27305]: #27306 -#27398 := [unit-resolution #27307 #27397 #27300 #27396]: #21724 -#23785 := (or #22626 #22620 #21729) -#23786 := [def-axiom]: #23785 -#27399 := [unit-resolution #23786 #27398 #27393]: #22620 -#23766 := (or #22617 #22609) -#23767 := [def-axiom]: #23766 -#27400 := [unit-resolution #23767 #27399]: #22609 -#27313 := (or #22614 #26952 #27235 #27256 #27277) -#27240 := (+ #26870 #12727) -#27241 := (>= #27240 0::int) -#27248 := (= #27250 uf_302) -#27251 := (not #27248) -#27252 := (or #27251 #26952 #27241 #27235) -#27314 := (or #22614 #27252) -#27321 := (iff #27314 #27313) -#27308 := (or #26952 #27235 #27256 #27277) -#27316 := (or #22614 #27308) -#27319 := (iff #27316 #27313) -#27320 := [rewrite]: #27319 -#27317 := (iff #27314 #27316) -#27311 := (iff #27252 #27308) -#27257 := (or #27256 #26952 #27277 #27235) -#27309 := (iff #27257 #27308) -#27310 := [rewrite]: #27309 -#27258 := (iff #27252 #27257) -#27287 := (iff #27241 #27277) -#27271 := (+ #12727 #26870) -#27268 := (>= #27271 0::int) -#27278 := (iff #27268 #27277) -#27286 := [rewrite]: #27278 -#27274 := (iff #27241 #27268) -#27272 := (= #27240 #27271) -#27273 := [rewrite]: #27272 -#27275 := [monotonicity #27273]: #27274 -#27189 := [trans #27275 #27286]: #27287 -#27269 := (iff #27251 #27256) -#27254 := (iff #27248 #27253) -#27255 := [rewrite]: #27254 -#27270 := [monotonicity #27255]: #27269 -#27281 := [monotonicity #27270 #27189]: #27258 -#27312 := [trans #27281 #27310]: #27311 -#27318 := [monotonicity #27312]: #27317 -#27322 := [trans #27318 #27320]: #27321 -#27315 := [quant-inst]: #27314 -#27323 := [mp #27315 #27322]: #27313 -#27402 := [unit-resolution #27323 #27400 #27392]: #27401 -#27403 := [unit-resolution #27402 #27391 #27386 #27377]: false -#27405 := [lemma #27403]: #27404 -#28978 := [unit-resolution #27405 #28859 #28849 #28875 #28540]: #28840 -#28985 := [unit-resolution #28978 #28691]: #22629 -#23853 := (or #22641 #22635) -#23854 := [def-axiom]: #23853 -#29133 := [unit-resolution #23854 #28122]: #22635 -#23809 := (or #22638 #22598 #22632) -#23810 := [def-axiom]: #23809 -#29134 := [unit-resolution #23810 #29133]: #22635 -#28988 := [unit-resolution #29134 #28985]: #22598 -#23758 := (or #22595 #12968) -#23759 := [def-axiom]: #23758 -#28538 := [unit-resolution #23759 #28988]: #12968 -#27687 := (not #27642) -#28488 := (or #27685 #27687 #12967) -#27688 := (or #27685 #27686 #27687 #12967) -#27689 := [th-lemma]: #27688 -#28539 := [unit-resolution #27689 #27680]: #28488 -#28525 := [unit-resolution #28539 #28538 #29825]: #27685 -#29715 := (or #26542 #26409 #27504 #27514 #27522) -#27499 := (or #27498 #27496 #27493 #27490) -#27500 := (not #27499) -#27501 := (+ #27482 #26410) -#27502 := (>= #27501 0::int) -#27505 := (or #27504 #27502 #26409 #27500) -#29716 := (or #26542 #27505) -#29738 := (iff #29716 #29715) -#27528 := (or #26409 #27504 #27514 #27522) -#29718 := (or #26542 #27528) -#29737 := (iff #29718 #29715) -#29721 := [rewrite]: #29737 -#29735 := (iff #29716 #29718) -#27531 := (iff #27505 #27528) -#27525 := (or #27504 #27514 #26409 #27522) -#27529 := (iff #27525 #27528) -#27530 := [rewrite]: #27529 -#27526 := (iff #27505 #27525) -#27523 := (iff #27500 #27522) -#27520 := (iff #27499 #27519) +#7982 := (iff #1493 #7979) +#7936 := (and #1485 #7933) +#7939 := (and #7930 #7936) +#7942 := (and #7924 #7939) +#7590 := (not #1372) +#7948 := (or #7590 #7942) +#7957 := (or #7956 #7948) +#7962 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7957) +#7980 := (iff #7962 #7979) +#7977 := (iff #7957 #7974) +#7968 := (or #7626 #7965) +#7971 := (or #7956 #7968) +#7975 := (iff #7971 #7974) +#7976 := [rewrite]: #7975 +#7972 := (iff #7957 #7971) +#7969 := (iff #7948 #7968) +#7966 := (iff #7942 #7965) +#7967 := [rewrite]: #7966 +#7627 := (iff #7590 #7626) +#7624 := (iff #1372 #7623) +#7621 := (iff #1371 #7620) +#7622 := [rewrite]: #7621 +#7625 := [monotonicity #4042 #7622]: #7624 +#7628 := [monotonicity #7625]: #7627 +#7970 := [monotonicity #7628 #7967]: #7969 +#7973 := [monotonicity #7970]: #7972 +#7978 := [trans #7973 #7976]: #7977 +#7981 := [quant-intro #7978]: #7980 +#7963 := (iff #1493 #7962) +#7960 := (iff #1492 #7957) +#7953 := (implies #7921 #7948) +#7958 := (iff #7953 #7957) +#7959 := [rewrite]: #7958 +#7954 := (iff #1492 #7953) +#7951 := (iff #1491 #7948) +#7945 := (implies #1372 #7942) +#7949 := (iff #7945 #7948) +#7950 := [rewrite]: #7949 +#7946 := (iff #1491 #7945) +#7943 := (iff #1490 #7942) +#7940 := (iff #1489 #7939) +#7937 := (iff #1488 #7936) +#7934 := (iff #1487 #7933) +#7935 := [rewrite]: #7934 +#7938 := [monotonicity #7935]: #7937 +#7931 := (iff #1484 #7930) +#7928 := (iff #1483 #7927) +#7929 := [rewrite]: #7928 +#7932 := [monotonicity #7929]: #7931 +#7941 := [monotonicity #7932 #7938]: #7940 +#7925 := (iff #1481 #7924) +#7926 := [rewrite]: #7925 +#7944 := [monotonicity #7926 #7941]: #7943 +#7947 := [monotonicity #7944]: #7946 +#7952 := [trans #7947 #7950]: #7951 +#7922 := (iff #1477 #7921) +#7923 := [rewrite]: #7922 +#7955 := [monotonicity #7923 #7952]: #7954 +#7961 := [trans #7955 #7959]: #7960 +#7964 := [quant-intro #7961]: #7963 +#7983 := [trans #7964 #7981]: #7982 +#7920 := [asserted]: #1493 +#7984 := [mp #7920 #7983]: #7979 +#16826 := [mp~ #7984 #16825]: #7979 +#20706 := [mp #16826 #20705]: #20703 +#27469 := (not #20703) +#27470 := (or #27469 #26943 #26961 #26969) +#26939 := (or #26938 #26936 #26933 #26930) +#26940 := (not #26939) +#26949 := (or #26948 #26946 #26943 #26940) +#27471 := (or #27469 #26949) +#27516 := (iff #27471 #27470) +#26975 := (or #26943 #26961 #26969) +#27517 := (or #27469 #26975) +#27520 := (iff #27517 #27470) #27521 := [rewrite]: #27520 -#27524 := [monotonicity #27521]: #27523 -#27517 := (iff #27502 #27514) -#27506 := (+ #26410 #27482) -#27509 := (>= #27506 0::int) -#27515 := (iff #27509 #27514) -#27516 := [rewrite]: #27515 -#27510 := (iff #27502 #27509) -#27507 := (= #27501 #27506) -#27508 := [rewrite]: #27507 -#27511 := [monotonicity #27508]: #27510 -#27518 := [trans #27511 #27516]: #27517 -#27527 := [monotonicity #27518 #27524]: #27526 -#27532 := [trans #27527 #27530]: #27531 -#29736 := [monotonicity #27532]: #29735 -#29739 := [trans #29736 #29721]: #29738 -#29717 := [quant-inst]: #29716 -#29740 := [mp #29717 #29739]: #29715 -#29511 := [unit-resolution #29740 #20106 #28525 #27869 #29448 #30005]: false -#29510 := [lemma #29511]: #27522 -#28981 := (or #27519 #28652) -#29570 := [hypothesis]: #28647 -#29836 := [hypothesis]: #27522 -#29772 := (or #27519 #27495) -#29773 := [def-axiom]: #29772 -#29837 := [unit-resolution #29773 #29836]: #27495 -#27556 := (uf_58 #3175 #27555) -#27557 := (uf_136 #27556) -#27558 := (= uf_9 #27557) -#29038 := (not #27558) -#27559 := (uf_24 uf_287 #27555) -#27560 := (= uf_9 #27559) -#27561 := (not #27560) -#27565 := (or #27558 #27561) -#27568 := (not #27565) -#27579 := (or #26500 #23948 #26481 #26484 #27504 #27514 #27568) -#27562 := (or #27561 #27558) -#27563 := (not #27562) -#27564 := (or #26484 #27504 #27502 #23948 #26481 #27563) -#27580 := (or #26500 #27564) -#27587 := (iff #27580 #27579) -#27574 := (or #23948 #26481 #26484 #27504 #27514 #27568) -#27582 := (or #26500 #27574) -#27585 := (iff #27582 #27579) -#27586 := [rewrite]: #27585 -#27583 := (iff #27580 #27582) -#27577 := (iff #27564 #27574) -#27571 := (or #26484 #27504 #27514 #23948 #26481 #27568) -#27575 := (iff #27571 #27574) -#27576 := [rewrite]: #27575 -#27572 := (iff #27564 #27571) -#27569 := (iff #27563 #27568) -#27566 := (iff #27562 #27565) -#27567 := [rewrite]: #27566 -#27570 := [monotonicity #27567]: #27569 -#27573 := [monotonicity #27518 #27570]: #27572 -#27578 := [trans #27573 #27576]: #27577 -#27584 := [monotonicity #27578]: #27583 -#27588 := [trans #27584 #27586]: #27587 -#27581 := [quant-inst]: #27580 -#27589 := [mp #27581 #27588]: #27579 -#29312 := [unit-resolution #27589 #20766 #13537 #28088 #28525 #27696 #29448]: #27568 -#29777 := (or #27565 #29038) -#29778 := [def-axiom]: #29777 -#28973 := [unit-resolution #29778 #29312]: #29038 -#29704 := (or #28652 #27496 #27558) -#29567 := (= #2984 #28581) -#29558 := (= #28581 #2984) -#29931 := (= #28578 #2981) -#29929 := (= #28578 #26392) -#29927 := (= #27494 #26392) -#29874 := [hypothesis]: #27495 -#29928 := [symm #29874]: #29927 -#29925 := (= #28578 #27494) -#29923 := (= #27095 #27491) -#29921 := (= #27491 #27095) -#29919 := (= #27485 #3220) -#28238 := (uf_116 #3220) -#28242 := (uf_43 #24108 #28238) -#29913 := (= #28242 #3220) -#28243 := (= #3220 #28242) -#27349 := (uf_48 #3220 #24108) -#27350 := (= uf_9 #27349) -#29876 := (= #3221 #27349) -#27638 := (= #27349 #3221) -#27639 := [monotonicity #27656]: #27638 -#29877 := [symm #27639]: #29876 -#27352 := (= #24108 #27351) -#27453 := (* uf_298 #26315) -#26823 := (uf_116 #26333) -#27454 := (+ #26823 #27453) -#27455 := (uf_43 #24108 #27454) -#27597 := (uf_13 #27455) -#27734 := (= #27597 #27351) -#27730 := (= #27351 #27597) -#27728 := (= #3220 #27455) -#27449 := (uf_66 #26333 uf_298 #24108) -#27456 := (= #27449 #27455) -#27457 := (not #27456) -#27450 := (uf_138 #27449 #26333) -#27451 := (= uf_9 #27450) -#27452 := (not #27451) -#27460 := (or #27452 #27457) -#27463 := (not #27460) -#27468 := (or #26353 #27463) -#27458 := (or #27457 #27452) -#27459 := (not #27458) -#27466 := (or #26353 #27459) -#27470 := (iff #27466 #27468) -#27472 := (iff #27468 #27468) -#27473 := [rewrite]: #27472 -#27464 := (iff #27459 #27463) -#27461 := (iff #27458 #27460) -#27462 := [rewrite]: #27461 -#27465 := [monotonicity #27462]: #27464 -#27471 := [monotonicity #27465]: #27470 -#27474 := [trans #27471 #27473]: #27470 -#27469 := [quant-inst]: #27466 -#27544 := [mp #27469 #27474]: #27468 -#27720 := [unit-resolution #27544 #20322]: #27463 -#27547 := (or #27460 #27456) -#27548 := [def-axiom]: #27547 -#27721 := [unit-resolution #27548 #27720]: #27456 -#27726 := (= #3220 #27449) -#27724 := (= #27449 #3220) -#27714 := (= uf_288 #26317) -#27712 := (= #2980 #26317) -#27713 := [symm #27711]: #27712 -#27715 := [trans #27659 #27713]: #27714 -#27717 := [monotonicity #27654 #27715]: #27716 -#27719 := [symm #27717]: #27718 -#27725 := [monotonicity #27719 #27656]: #27724 -#27727 := [symm #27725]: #27726 -#27729 := [trans #27727 #27721]: #27728 -#27731 := [monotonicity #27729]: #27730 -#27735 := [symm #27731]: #27734 -#27598 := (= #24108 #27597) -#27537 := (or #24175 #27598) -#27538 := [quant-inst]: #27537 -#27706 := [unit-resolution #27538 #22417]: #27598 -#27736 := [trans #27706 #27735]: #27352 -#27231 := (not #27352) -#27348 := (iff #27350 #27352) -#27356 := (or #25427 #27348) -#27353 := (iff #27352 #27350) -#27357 := (or #25427 #27353) -#27227 := (iff #27357 #27356) -#27229 := (iff #27356 #27356) -#27191 := [rewrite]: #27229 -#27354 := (iff #27353 #27348) -#27355 := [rewrite]: #27354 -#27228 := [monotonicity #27355]: #27227 -#27192 := [trans #27228 #27191]: #27227 -#27226 := [quant-inst]: #27357 -#27230 := [mp #27226 #27192]: #27356 -#27636 := [unit-resolution #27230 #22404]: #27348 -#27411 := (not #27350) -#27619 := (iff #17721 #27411) -#27484 := (iff #12346 #27350) -#27647 := (iff #27350 #12346) -#27648 := [monotonicity #27639]: #27647 -#27618 := [symm #27648]: #27484 -#27693 := [monotonicity #27618]: #27619 -#27637 := [hypothesis]: #17721 -#27704 := [mp #27637 #27693]: #27411 -#27225 := (not #27348) -#27232 := (or #27225 #27350 #27231) -#27233 := [def-axiom]: #27232 -#27705 := [unit-resolution #27233 #27704 #27636]: #27231 -#27737 := [unit-resolution #27705 #27736]: false -#27738 := [lemma #27737]: #12346 -#29878 := [trans #27738 #29877]: #27350 -#28251 := (or #27411 #28243) -#28339 := (or #25411 #27411 #28243) -#28250 := (or #28243 #27411) -#28357 := (or #25411 #28250) -#28372 := (iff #28357 #28339) -#28362 := (or #25411 #28251) -#28364 := (iff #28362 #28339) -#28371 := [rewrite]: #28364 -#28363 := (iff #28357 #28362) -#28252 := (iff #28250 #28251) -#28253 := [rewrite]: #28252 -#28349 := [monotonicity #28253]: #28363 -#28380 := [trans #28349 #28371]: #28372 -#28361 := [quant-inst]: #28357 -#28381 := [mp #28361 #28380]: #28339 -#29879 := [unit-resolution #28381 #17465]: #28251 -#29880 := [unit-resolution #29879 #29878]: #28243 -#29914 := [symm #29880]: #29913 -#29917 := (= #27485 #28242) -#29001 := (* #26315 #27482) -#29004 := (+ #26574 #29001) -#29007 := (uf_43 #24108 #29004) -#29911 := (= #29007 #28242) -#29905 := (= #29004 #28238) -#28185 := (+ #26317 #27453) -#28186 := (uf_43 #24108 #28185) -#28369 := (uf_116 #28186) -#29901 := (= #28369 #28238) -#29887 := (= #28186 #3220) -#28181 := (uf_66 #23935 uf_298 #24108) -#29885 := (= #28181 #3220) -#29886 := [monotonicity #27709 #27656]: #29885 -#29883 := (= #28186 #28181) -#28187 := (= #28181 #28186) -#28188 := (not #28187) -#28182 := (uf_138 #28181 #23935) -#28183 := (= uf_9 #28182) -#28184 := (not #28183) -#28191 := (or #28184 #28188) -#28194 := (not #28191) -#28286 := (or #26353 #28194) -#28189 := (or #28188 #28184) -#28190 := (not #28189) -#28287 := (or #26353 #28190) -#28288 := (iff #28287 #28286) -#28290 := (iff #28286 #28286) -#28262 := [rewrite]: #28290 -#28195 := (iff #28190 #28194) -#28192 := (iff #28189 #28191) -#28193 := [rewrite]: #28192 -#28196 := [monotonicity #28193]: #28195 -#28289 := [monotonicity #28196]: #28288 -#28263 := [trans #28289 #28262]: #28288 -#28283 := [quant-inst]: #28287 -#28254 := [mp #28283 #28263]: #28286 -#29881 := [unit-resolution #28254 #20322]: #28194 -#28267 := (or #28191 #28187) -#28265 := [def-axiom]: #28267 -#29882 := [unit-resolution #28265 #29881]: #28187 -#29884 := [symm #29882]: #29883 -#29888 := [trans #29884 #29886]: #29887 -#29902 := [monotonicity #29888]: #29901 -#29903 := (= #29004 #28369) -#28370 := (= #28185 #28369) -#28373 := (* -1::int #28369) -#28374 := (+ #27453 #28373) -#28375 := (+ #26317 #28374) -#28843 := (<= #28375 0::int) -#28376 := (= #28375 0::int) -#28838 := (or #24181 #28376) -#28842 := (or #24181 #28370) -#28912 := (iff #28842 #28838) -#28907 := (iff #28838 #28838) -#28908 := [rewrite]: #28907 -#28377 := (iff #28370 #28376) -#28378 := [rewrite]: #28377 -#28841 := [monotonicity #28378]: #28912 -#28865 := [trans #28841 #28908]: #28912 -#28911 := [quant-inst]: #28842 -#28839 := [mp #28911 #28865]: #28838 -#29889 := [unit-resolution #28839 #22411]: #28376 -#29890 := (not #28376) -#29891 := (or #29890 #28843) -#29892 := [th-lemma]: #29891 -#29893 := [unit-resolution #29892 #29889]: #28843 -#28765 := (>= #28375 0::int) -#29894 := (or #29890 #28765) -#29895 := [th-lemma]: #29894 -#29896 := [unit-resolution #29895 #29889]: #28765 -#29897 := [th-lemma #29896 #29893]: #28370 -#29899 := (= #29004 #28185) -#29868 := (= #28185 #29004) -#29869 := (* -1::int #29004) -#29870 := (+ #28185 #29869) -#29871 := (<= #29870 0::int) -#29267 := (* -1::int #26574) -#29276 := (+ #24010 #29267) -#29277 := (<= #29276 0::int) -#29271 := (= #24010 #26574) -#29860 := [symm #27879]: #29271 -#29861 := (not #29271) -#29862 := (or #29861 #29277) -#29863 := [th-lemma]: #29862 -#29935 := [unit-resolution #29863 #29860]: #29277 -#28718 := (>= #26315 1::int) -#28559 := (= #26315 1::int) +#27518 := (iff #27471 #27517) +#26978 := (iff #26949 #26975) +#26972 := (or false #26961 #26943 #26969) +#26976 := (iff #26972 #26975) +#26977 := [rewrite]: #26976 +#26973 := (iff #26949 #26972) +#26970 := (iff #26940 #26969) +#26967 := (iff #26939 #26966) +#26968 := [rewrite]: #26967 +#26971 := [monotonicity #26968]: #26970 +#26974 := [monotonicity #26955 #26965 #26971]: #26973 +#26979 := [trans #26974 #26977]: #26978 +#27519 := [monotonicity #26979]: #27518 +#27522 := [trans #27519 #27521]: #27516 +#27472 := [quant-inst]: #27471 +#27523 := [mp #27472 #27522]: #27470 +#28300 := [unit-resolution #27523 #20706 #26991]: #28299 +#28301 := [unit-resolution #28300 #28298]: #26969 +#27540 := (or #26966 #26935) +#27541 := [def-axiom]: #27540 +#28302 := [unit-resolution #27541 #28301]: #26935 +#28345 := [symm #28302]: #28344 +#28342 := (= #27079 #26934) +#28340 := (= #26756 #26931) +#28338 := (= #26931 #26756) +#28336 := (= #26927 #3031) +#28326 := (= #26845 #3031) +#28327 := [symm #28125]: #28326 +#28334 := (= #26927 #26845) +#28324 := (= #26867 #26845) +#28325 := [symm #27634]: #28324 +#28332 := (= #26927 #26867) +#28250 := (= #2979 #26867) +#28323 := [symm #28126]: #28250 +#28330 := (= #26927 #2979) +#27108 := (uf_116 #25933) +#27122 := (uf_43 #24643 #27108) +#28321 := (= #27122 #2979) +#28313 := (= #27108 uf_288) +#28311 := (= #27108 #2980) +#28309 := (= #24545 #2980) +#24769 := (= #2980 #24545) +#24774 := (or #24716 #24769) +#24775 := [quant-inst]: #24774 +#28303 := [unit-resolution #24775 #22943]: #24769 +#28310 := [symm #28303]: #28309 +#28307 := (= #27108 #24545) +#28308 := [monotonicity #28306]: #28307 +#28312 := [trans #28308 #28310]: #28311 +#28314 := [trans #28312 #28195]: #28313 +#28322 := [monotonicity #28190 #28314]: #28321 +#28328 := (= #26927 #27122) +#27104 := (uf_66 #25933 0::int #24643) +#27125 := (= #27104 #27122) +#27128 := (not #27125) +#27105 := (uf_138 #27104 #25933) +#27106 := (= uf_9 #27105) +#27107 := (not #27106) +#27134 := (or #27107 #27128) +#27139 := (not #27134) +#28084 := (or #26887 #27139) +#27109 := (+ #27108 #26850) +#27110 := (uf_43 #24643 #27109) +#27111 := (= #27104 #27110) +#27112 := (not #27111) +#27113 := (or #27112 #27107) +#27114 := (not #27113) +#28069 := (or #26887 #27114) +#28068 := (iff #28069 #28084) +#28088 := (iff #28084 #28084) +#28073 := [rewrite]: #28088 +#27140 := (iff #27114 #27139) +#27137 := (iff #27113 #27134) +#27131 := (or #27128 #27107) +#27135 := (iff #27131 #27134) +#27136 := [rewrite]: #27135 +#27132 := (iff #27113 #27131) +#27129 := (iff #27112 #27128) +#27126 := (iff #27111 #27125) +#27123 := (= #27110 #27122) +#27120 := (= #27109 #27108) +#27115 := (+ #27108 0::int) +#27118 := (= #27115 #27108) +#27119 := [rewrite]: #27118 +#27116 := (= #27109 #27115) +#27117 := [monotonicity #26859]: #27116 +#27121 := [trans #27117 #27119]: #27120 +#27124 := [monotonicity #27121]: #27123 +#27127 := [monotonicity #27124]: #27126 +#27130 := [monotonicity #27127]: #27129 +#27133 := [monotonicity #27130]: #27132 +#27138 := [trans #27133 #27136]: #27137 +#27141 := [monotonicity #27138]: #27140 +#28067 := [monotonicity #27141]: #28068 +#28074 := [trans #28067 #28073]: #28068 +#28070 := [quant-inst]: #28069 +#28075 := [mp #28070 #28074]: #28084 +#28315 := [unit-resolution #28075 #20922]: #27139 +#28124 := (or #27134 #27125) +#28149 := [def-axiom]: #28124 +#28316 := [unit-resolution #28149 #28315]: #27125 +#28319 := (= #26927 #27104) +#28320 := [monotonicity #28318]: #28319 +#28329 := [trans #28320 #28316]: #28328 +#28331 := [trans #28329 #28322]: #28330 +#28333 := [trans #28331 #28323]: #28332 +#28335 := [trans #28333 #28325]: #28334 +#28337 := [trans #28335 #28327]: #28336 +#28339 := [monotonicity #28337]: #28338 +#28341 := [symm #28339]: #28340 +#28343 := [monotonicity #28341]: #28342 +#28347 := [trans #28343 #28345]: #28346 +#28349 := [trans #28347 #28292]: #28348 +#28351 := [monotonicity #28349]: #28350 +#28355 := [trans #28351 #28353]: #28354 +#28357 := [monotonicity #28355]: #28356 +#28359 := [monotonicity #28357]: #28358 +#28361 := [symm #28359]: #28360 +#28363 := [monotonicity #28361]: #28362 +#28364 := [mp #14078 #28363]: #27341 +#28368 := (= #2984 #27082) +#28365 := (= #27082 #2984) +#28366 := [monotonicity #28349]: #28365 +#28369 := [symm #28366]: #28368 +#28370 := [trans #14075 #28369]: #27083 +#27342 := (not #27083) +#27343 := (or #27189 #27342) +#27344 := [def-axiom]: #27343 +#28371 := [unit-resolution #27344 #28370]: #27189 +#27399 := (or #27231 #27068 #27181 #27186 #27202) +#27400 := [def-axiom]: #27399 +#28372 := [unit-resolution #27400 #28371 #28364 #28285 #27477 #27157]: false +#28374 := [lemma #28372]: #28373 +#28639 := [unit-resolution #28374 #28636]: #11937 +#28640 := (or #23218 #18136 #23212) +#26821 := (= #24643 #26820) +#26794 := (uf_48 #3031 #24643) +#26795 := (= uf_9 #26794) +#26823 := (iff #26795 #26821) +#9041 := (= #233 #1390) +#11161 := (iff #9041 #11140) +#22931 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2667) #11161) +#11166 := (forall (vars (?x712 T5) (?x713 T3)) #11161) +#22934 := (iff #11166 #22931) +#22932 := (iff #11161 #11161) +#22933 := [refl]: #22932 +#22935 := [quant-intro #22933]: #22934 +#17969 := (~ #11166 #11166) +#17967 := (~ #11161 #11161) +#17968 := [refl]: #17967 +#17970 := [nnf-pos #17968]: #17969 +#1890 := (= #1390 #233) +#2673 := (iff #2668 #1890) +#2674 := (forall (vars (?x712 T5) (?x713 T3)) #2673) +#11167 := (iff #2674 #11166) +#11164 := (iff #2673 #11161) +#11157 := (iff #11140 #9041) +#11162 := (iff #11157 #11161) +#11163 := [rewrite]: #11162 +#11159 := (iff #2673 #11157) +#9042 := (iff #1890 #9041) +#9043 := [rewrite]: #9042 +#11160 := [monotonicity #11143 #9043]: #11159 +#11165 := [trans #11160 #11163]: #11164 +#11168 := [quant-intro #11165]: #11167 +#11156 := [asserted]: #2674 +#11171 := [mp #11156 #11168]: #11166 +#17971 := [mp~ #11171 #17970]: #11166 +#22936 := [mp #17971 #22935]: #22931 +#25961 := (not #22931) +#26770 := (or #25961 #26823) +#26822 := (iff #26821 #26795) +#26771 := (or #25961 #26822) +#26809 := (iff #26771 #26770) +#26816 := (iff #26770 #26770) +#26817 := [rewrite]: #26816 +#26824 := (iff #26822 #26823) +#26825 := [rewrite]: #26824 +#26815 := [monotonicity #26825]: #26809 +#26818 := [trans #26815 #26817]: #26809 +#26814 := [quant-inst]: #26771 +#26796 := [mp #26814 #26818]: #26770 +#26798 := [unit-resolution #26796 #22936]: #26823 +#26802 := (not #26795) +#26827 := (iff #18127 #26802) +#26893 := (iff #11928 #26795) +#26842 := (iff #26795 #11928) +#26840 := (= #26794 #3032) +#26841 := [monotonicity #28190]: #26840 +#26898 := [monotonicity #26841]: #26842 +#26843 := [symm #26898]: #26893 +#26828 := [monotonicity #26843]: #26827 +#26839 := [hypothesis]: #18127 +#26826 := [mp #26839 #26828]: #26802 +#26829 := (= #24758 #26820) +#26830 := [symm #28274]: #26829 +#26844 := (= #24643 #24758) +#26831 := [trans #28190 #27482]: #26844 +#26832 := [trans #26831 #26830]: #26821 +#26797 := (not #26821) +#26799 := (not #26823) +#26760 := (or #26799 #26795 #26797) +#26783 := [def-axiom]: #26760 +#26900 := [unit-resolution #26783 #26832 #26826 #26798]: false +#26901 := [lemma #26900]: #11928 +#24446 := (or #23218 #18127 #18136 #23212) +#24447 := [def-axiom]: #24446 +#28641 := [unit-resolution #24447 #26901]: #28640 +#28642 := [unit-resolution #28641 #28639 #28638]: #23212 +#24424 := (or #23209 #3042) +#24425 := [def-axiom]: #24424 +#28643 := [unit-resolution #24425 #28642]: #3042 +#24436 := (or #23209 #23203) +#24437 := [def-axiom]: #24436 +#29322 := [unit-resolution #24437 #28642]: #23203 +#28521 := [hypothesis]: #13181 +#28522 := [th-lemma #14069 #28521]: false +#28523 := [lemma #28522]: #13178 +#24422 := (or #23206 #13181 #23200) +#24423 := [def-axiom]: #24422 +#29323 := [unit-resolution #24423 #28523 #29322]: #23200 +#24414 := (or #23197 #23191) +#24415 := [def-axiom]: #24414 +#29332 := [unit-resolution #24415 #29323]: #23191 +#27410 := (* -1::int #3041) +#27411 := (+ uf_295 #27410) +#27412 := (>= #27411 0::int) +#28644 := (or #12976 #27412) +#28645 := [th-lemma]: #28644 +#28646 := [unit-resolution #28645 #28643]: #27412 +#24092 := (not #18168) +#28647 := [hypothesis]: #22019 +#24093 := (or #22014 #24092) +#24094 := [def-axiom]: #24093 +#28648 := [unit-resolution #24094 #28647]: #24092 +#28607 := (+ #3041 #18166) +#28609 := (>= #28607 0::int) +#28606 := (= #3041 #18165) +#28655 := (= #18165 #3041) +#28653 := (= #18164 #3031) +#28651 := (= ?x773!13 0::int) +#24095 := (not #18169) +#24096 := (or #22014 #24095) +#24097 := [def-axiom]: #24096 +#28649 := [unit-resolution #24097 #28647]: #24095 +#24090 := (or #22014 #18161) +#24091 := [def-axiom]: #24090 +#28650 := [unit-resolution #24091 #28647]: #18161 +#28652 := [th-lemma #28650 #28649]: #28651 +#28654 := [monotonicity #28652]: #28653 +#28656 := [monotonicity #28654]: #28655 +#28657 := [symm #28656]: #28606 +#28658 := (not #28606) +#28659 := (or #28658 #28609) +#28660 := [th-lemma]: #28659 +#28661 := [unit-resolution #28660 #28657]: #28609 +#28662 := [th-lemma #28661 #28648 #28646]: false +#28663 := [lemma #28662]: #22014 +#24410 := (or #23194 #22019 #23188) +#24411 := [def-axiom]: #24410 +#29333 := [unit-resolution #24411 #28663 #29332]: #23188 +#24402 := (or #23185 #23179) +#24403 := [def-axiom]: #24402 +#29334 := [unit-resolution #24403 #29333]: #23179 +#29335 := (or #23182 #12976 #23176) +#24398 := (or #23182 #12976 #13217 #23176) +#24399 := [def-axiom]: #24398 +#29336 := [unit-resolution #24399 #14069]: #29335 +#29337 := [unit-resolution #29336 #29334 #28643]: #23176 +#24388 := (or #23173 #23167) +#24389 := [def-axiom]: #24388 +#29338 := [unit-resolution #24389 #29337]: #23167 +#24386 := (or #23173 #23009) +#24387 := [def-axiom]: #24386 +#29339 := [unit-resolution #24387 #29337]: #23009 +#24360 := (or #23173 #11989) +#24361 := [def-axiom]: #24360 +#29340 := [unit-resolution #24361 #29337]: #11989 +#24382 := (or #23173 #15577) +#24383 := [def-axiom]: #24382 +#29341 := [unit-resolution #24383 #29337]: #15577 +#24372 := (or #23173 #13689) +#24373 := [def-axiom]: #24372 +#29342 := [unit-resolution #24373 #29337]: #13689 +#27402 := (uf_13 #26867) +#27403 := (uf_66 #26867 uf_297 #27402) +#27404 := (uf_125 #27403 #26867) +#27485 := (>= #27404 0::int) +#24368 := (or #23173 #13222) +#24369 := [def-axiom]: #24368 +#29343 := [unit-resolution #24369 #29337]: #13222 +#27501 := (* -1::int #27404) +#27574 := (+ uf_297 #27501) +#27575 := (<= #27574 0::int) +#27405 := (= uf_297 #27404) +#28694 := (uf_66 #24470 uf_297 #26903) +#28695 := (uf_125 #28694 #24470) +#29365 := (= #28695 #27404) +#29363 := (= #27404 #28695) +#29344 := (= #26867 #24470) +#29345 := [trans #28126 #28241]: #29344 +#29360 := (= #27403 #28694) +#29358 := (= #3082 #28694) +#29356 := (= #28694 #3082) +#29348 := (= #26903 uf_7) +#29346 := (= #26903 #24758) +#29347 := [monotonicity #28243]: #29346 +#29349 := [trans #29347 #28276]: #29348 +#29357 := [monotonicity #28243 #29349]: #29356 +#29359 := [symm #29357]: #29358 +#29354 := (= #27403 #3082) +#29352 := (= #27402 uf_7) +#29350 := (= #27402 #24758) +#29351 := [monotonicity #28126]: #29350 +#29353 := [trans #29351 #28276]: #29352 +#29355 := [monotonicity #28126 #29353]: #29354 +#29361 := [trans #29355 #29359]: #29360 +#29364 := [monotonicity #29361 #29345]: #29363 +#29366 := [symm #29364]: #29365 +#28696 := (= uf_297 #28695) +#28699 := (or #26910 #28696) +#28700 := [quant-inst]: #28699 +#29362 := [unit-resolution #28700 #16791]: #28696 +#29367 := [trans #29362 #29366]: #27405 +#27913 := (not #27405) +#29368 := (or #27913 #27575) +#29369 := [th-lemma]: #29368 +#29370 := [unit-resolution #29369 #29367]: #27575 +#29371 := (not #27575) +#29372 := (or #27485 #22161 #29371) +#29373 := [th-lemma]: #29372 +#29374 := [unit-resolution #29373 #29370 #29343]: #27485 +#27486 := (not #27485) +#27938 := (or #23161 #27486 #13688 #22304 #22299 #23014) +#27783 := (uf_66 #2979 #27404 uf_7) +#27784 := (uf_110 uf_287 #27783) +#27787 := (= uf_302 #27784) +#27893 := (= #3083 #27784) +#27906 := (= #27784 #3083) +#27900 := (= #27783 #3082) +#27898 := (= #27404 uf_297) +#27408 := (or #26910 #27405) +#27409 := [quant-inst]: #27408 +#27897 := [unit-resolution #27409 #16791]: #27405 +#27899 := [symm #27897]: #27898 +#27901 := [monotonicity #27899]: #27900 +#27907 := [monotonicity #27901]: #27906 +#27908 := [symm #27907]: #27893 +#27909 := (= uf_302 #3083) +#27902 := [hypothesis]: #11989 +#27903 := [hypothesis]: #23164 +#24328 := (or #23161 #12017) +#24329 := [def-axiom]: #24328 +#27904 := [unit-resolution #24329 #27903]: #12017 +#27905 := [symm #27904]: #3097 +#27910 := [trans #27905 #27902]: #27909 +#27911 := [trans #27910 #27908]: #27787 +#27768 := (<= #27404 4294967295::int) +#27912 := [hypothesis]: #15577 +#27576 := (>= #27574 0::int) +#27914 := (or #27913 #27576) +#27915 := [th-lemma]: #27914 +#27916 := [unit-resolution #27915 #27897]: #27576 +#27917 := (not #27576) +#27918 := (or #27768 #22304 #27917) +#27919 := [th-lemma]: #27918 +#27920 := [unit-resolution #27919 #27916 #27912]: #27768 +#27810 := (+ uf_286 #27501) +#27811 := (<= #27810 0::int) +#27922 := (not #27811) +#27921 := [hypothesis]: #13689 +#27923 := (or #27922 #13688 #27917) +#27924 := [th-lemma]: #27923 +#27925 := [unit-resolution #27924 #27916 #27921]: #27922 +#27790 := (not #27787) +#27769 := (not #27768) +#27935 := (or #27769 #27790 #27811) +#27926 := [hypothesis]: #27485 +#24336 := (or #23161 #23155) +#24337 := [def-axiom]: #24336 +#27927 := [unit-resolution #24337 #27903]: #23155 +#27580 := (+ uf_296 #13550) +#27583 := (<= #27580 0::int) +#27928 := (or #12052 #27583) +#27929 := [th-lemma]: #27928 +#27930 := [unit-resolution #27929 #27904]: #27583 +#27834 := [hypothesis]: #23009 +#24334 := (or #23161 #13510) +#24335 := [def-axiom]: #24334 +#27931 := [unit-resolution #24335 #27903]: #13510 +#27825 := (not #27583) +#27840 := (or #22270 #13511 #23014 #27825) +#27828 := [hypothesis]: #13510 +#27651 := (+ uf_298 #18758) +#27652 := (<= #27651 0::int) +#27663 := (+ uf_296 #18771) +#27664 := (>= #27663 0::int) +#27824 := (not #27664) +#27818 := [hypothesis]: #27583 +#24311 := (not #18773) +#27829 := [hypothesis]: #22275 +#24312 := (or #22270 #24311) +#24313 := [def-axiom]: #24312 +#27830 := [unit-resolution #24313 #27829]: #24311 +#27826 := (or #27824 #18773 #27825) +#27819 := [hypothesis]: #24311 +#27822 := [hypothesis]: #27664 +#27823 := [th-lemma #27822 #27819 #27818]: false +#27827 := [lemma #27823]: #27826 +#27831 := [unit-resolution #27827 #27830 #27818]: #27824 +#27835 := (or #27652 #27664) +#24306 := (or #22270 #18422) +#24307 := [def-axiom]: #24306 +#27832 := [unit-resolution #24307 #27829]: #18422 +#24304 := (or #22270 #18421) +#24305 := [def-axiom]: #24304 +#27833 := [unit-resolution #24305 #27829]: #18421 +#27677 := (or #23014 #22254 #22255 #27652 #27664) +#27640 := (+ #18426 #13715) +#27641 := (<= #27640 0::int) +#27642 := (+ ?x776!15 #13246) +#27643 := (>= #27642 0::int) +#27644 := (or #22255 #27643 #27641 #22254) +#27678 := (or #23014 #27644) +#27685 := (iff #27678 #27677) +#27672 := (or #22254 #22255 #27652 #27664) +#27680 := (or #23014 #27672) +#27683 := (iff #27680 #27677) +#27684 := [rewrite]: #27683 +#27681 := (iff #27678 #27680) +#27675 := (iff #27644 #27672) +#27669 := (or #22255 #27652 #27664 #22254) +#27673 := (iff #27669 #27672) +#27674 := [rewrite]: #27673 +#27670 := (iff #27644 #27669) +#27667 := (iff #27641 #27664) +#27657 := (+ #13715 #18426) +#27660 := (<= #27657 0::int) +#27665 := (iff #27660 #27664) +#27666 := [rewrite]: #27665 +#27661 := (iff #27641 #27660) +#27658 := (= #27640 #27657) +#27659 := [rewrite]: #27658 +#27662 := [monotonicity #27659]: #27661 +#27668 := [trans #27662 #27666]: #27667 +#27655 := (iff #27643 #27652) +#27645 := (+ #13246 ?x776!15) +#27648 := (>= #27645 0::int) +#27653 := (iff #27648 #27652) +#27654 := [rewrite]: #27653 +#27649 := (iff #27643 #27648) +#27646 := (= #27642 #27645) +#27647 := [rewrite]: #27646 +#27650 := [monotonicity #27647]: #27649 +#27656 := [trans #27650 #27654]: #27655 +#27671 := [monotonicity #27656 #27668]: #27670 +#27676 := [trans #27671 #27674]: #27675 +#27682 := [monotonicity #27676]: #27681 +#27686 := [trans #27682 #27684]: #27685 +#27679 := [quant-inst]: #27678 +#27687 := [mp #27679 #27686]: #27677 +#27836 := [unit-resolution #27687 #27834 #27833 #27832]: #27835 +#27837 := [unit-resolution #27836 #27831]: #27652 +#24308 := (not #18760) +#24309 := (or #22270 #24308) +#24310 := [def-axiom]: #24309 +#27838 := [unit-resolution #24310 #27829]: #24308 +#27839 := [th-lemma #27838 #27837 #27828]: false +#27841 := [lemma #27839]: #27840 +#27932 := [unit-resolution #27841 #27931 #27834 #27930]: #22270 +#24320 := (or #23158 #23152 #22275) +#24321 := [def-axiom]: #24320 +#27933 := [unit-resolution #24321 #27932 #27927]: #23152 +#24300 := (or #23149 #23141) +#24301 := [def-axiom]: #24300 +#27934 := [unit-resolution #24301 #27933]: #23141 +#27847 := (or #23146 #27486 #27769 #27790 #27811) +#27774 := (+ #27404 #13151) +#27775 := (>= #27774 0::int) +#27782 := (= #27784 uf_302) +#27785 := (not #27782) +#27786 := (or #27785 #27486 #27775 #27769) +#27848 := (or #23146 #27786) +#27855 := (iff #27848 #27847) +#27842 := (or #27486 #27769 #27790 #27811) +#27850 := (or #23146 #27842) +#27853 := (iff #27850 #27847) +#27854 := [rewrite]: #27853 +#27851 := (iff #27848 #27850) +#27845 := (iff #27786 #27842) +#27791 := (or #27790 #27486 #27811 #27769) +#27843 := (iff #27791 #27842) +#27844 := [rewrite]: #27843 +#27792 := (iff #27786 #27791) +#27821 := (iff #27775 #27811) +#27805 := (+ #13151 #27404) +#27802 := (>= #27805 0::int) +#27812 := (iff #27802 #27811) +#27820 := [rewrite]: #27812 +#27808 := (iff #27775 #27802) +#27806 := (= #27774 #27805) +#27807 := [rewrite]: #27806 +#27809 := [monotonicity #27807]: #27808 +#27723 := [trans #27809 #27820]: #27821 +#27803 := (iff #27785 #27790) +#27788 := (iff #27782 #27787) +#27789 := [rewrite]: #27788 +#27804 := [monotonicity #27789]: #27803 +#27815 := [monotonicity #27804 #27723]: #27792 +#27846 := [trans #27815 #27844]: #27845 +#27852 := [monotonicity #27846]: #27851 +#27856 := [trans #27852 #27854]: #27855 +#27849 := [quant-inst]: #27848 +#27857 := [mp #27849 #27856]: #27847 +#27936 := [unit-resolution #27857 #27934 #27926]: #27935 +#27937 := [unit-resolution #27936 #27925 #27920 #27911]: false +#27939 := [lemma #27937]: #27938 +#29375 := [unit-resolution #27939 #29374 #29342 #29341 #29340 #29339]: #23161 +#24344 := (or #23170 #23130 #23164) +#24345 := [def-axiom]: #24344 +#29376 := [unit-resolution #24345 #29375 #29338]: #23130 +#24292 := (or #23127 #13511) +#24293 := [def-axiom]: #24292 +#29377 := [unit-resolution #24293 #29376]: #13511 +#30318 := (not #29084) +#30322 := (or #30321 #28220 #30318 #13510) +#30323 := [th-lemma]: #30322 +#30324 := [unit-resolution #30323 #28214 #29377 #30316]: #30321 +#28963 := (>= #28923 0::int) +#28964 := (not #28963) +#29278 := [hypothesis]: #28964 +#24376 := (or #23173 #13743) +#24377 := [def-axiom]: #24376 +#29279 := [unit-resolution #24377 #29337]: #13743 +#29083 := (<= #29082 0::int) +#29282 := (or #29281 #29083) +#29267 := [th-lemma]: #29282 +#29268 := [unit-resolution #29267 #29280]: #29083 +#29269 := [th-lemma #29268 #29279 #29278]: false +#29270 := [lemma #29269]: #28963 +#30337 := (or #28964 #28974 #28982) +#28993 := (or #27469 #26943 #28964 #28974 #28982) +#28959 := (or #28958 #28956 #28953 #28950) +#28960 := (not #28959) +#28961 := (+ #28923 #26944) +#28962 := (>= #28961 0::int) +#28965 := (or #28964 #28962 #26943 #28960) +#28994 := (or #27469 #28965) +#29001 := (iff #28994 #28993) +#28988 := (or #26943 #28964 #28974 #28982) +#28996 := (or #27469 #28988) +#28999 := (iff #28996 #28993) +#29000 := [rewrite]: #28999 +#28997 := (iff #28994 #28996) +#28991 := (iff #28965 #28988) +#28985 := (or #28964 #28974 #26943 #28982) +#28989 := (iff #28985 #28988) +#28990 := [rewrite]: #28989 +#28986 := (iff #28965 #28985) +#28983 := (iff #28960 #28982) +#28980 := (iff #28959 #28979) +#28981 := [rewrite]: #28980 +#28984 := [monotonicity #28981]: #28983 +#28977 := (iff #28962 #28974) +#28966 := (+ #26944 #28923) +#28969 := (>= #28966 0::int) +#28975 := (iff #28969 #28974) +#28976 := [rewrite]: #28975 +#28970 := (iff #28962 #28969) +#28967 := (= #28961 #28966) +#28968 := [rewrite]: #28967 +#28971 := [monotonicity #28968]: #28970 +#28978 := [trans #28971 #28976]: #28977 +#28987 := [monotonicity #28978 #28984]: #28986 +#28992 := [trans #28987 #28990]: #28991 +#28998 := [monotonicity #28992]: #28997 +#29002 := [trans #28998 #29000]: #29001 +#28995 := [quant-inst]: #28994 +#29003 := [mp #28995 #29002]: #28993 +#30342 := [unit-resolution #29003 #20706 #28298]: #30337 +#30331 := [unit-resolution #30342 #29270 #30324]: #28982 +#29009 := (or #28979 #28955) +#29010 := [def-axiom]: #29009 +#30332 := [unit-resolution #29010 #30331]: #28955 +#30385 := [symm #30332]: #30390 +#30388 := (= #29089 #28954) +#30353 := (= #27629 #28951) +#30351 := (= #28951 #27629) +#30349 := (= #28947 #3181) +#28847 := (uf_116 #3181) +#28851 := (uf_43 #24643 #28847) +#30362 := (= #28851 #3181) +#28852 := (= #3181 #28851) +#27883 := (uf_48 #3181 #24643) +#27884 := (= uf_9 #27883) +#30356 := (= #3182 #27883) +#28172 := (= #27883 #3182) +#28173 := [monotonicity #28190]: #28172 +#30335 := [symm #28173]: #30356 +#27886 := (= #24643 #27885) +#27987 := (* uf_298 #26849) +#27357 := (uf_116 #26867) +#27988 := (+ #27357 #27987) +#27989 := (uf_43 #24643 #27988) +#28131 := (uf_13 #27989) +#28268 := (= #28131 #27885) +#28264 := (= #27885 #28131) +#28262 := (= #3181 #27989) +#27983 := (uf_66 #26867 uf_298 #24643) +#27990 := (= #27983 #27989) +#27991 := (not #27990) +#27984 := (uf_138 #27983 #26867) +#27985 := (= uf_9 #27984) +#27986 := (not #27985) +#27994 := (or #27986 #27991) +#27997 := (not #27994) +#28002 := (or #26887 #27997) +#27992 := (or #27991 #27986) +#27993 := (not #27992) +#28000 := (or #26887 #27993) +#28004 := (iff #28000 #28002) +#28006 := (iff #28002 #28002) +#28007 := [rewrite]: #28006 +#27998 := (iff #27993 #27997) +#27995 := (iff #27992 #27994) +#27996 := [rewrite]: #27995 +#27999 := [monotonicity #27996]: #27998 +#28005 := [monotonicity #27999]: #28004 +#28008 := [trans #28005 #28007]: #28004 +#28003 := [quant-inst]: #28000 +#28078 := [mp #28003 #28008]: #28002 +#28254 := [unit-resolution #28078 #20922]: #27997 +#28081 := (or #27994 #27990) +#28082 := [def-axiom]: #28081 +#28255 := [unit-resolution #28082 #28254]: #27990 +#28260 := (= #3181 #27983) +#28258 := (= #27983 #3181) +#28248 := (= uf_288 #26851) +#28246 := (= #2980 #26851) +#28247 := [symm #28245]: #28246 +#28249 := [trans #28193 #28247]: #28248 +#28251 := [monotonicity #28188 #28249]: #28250 +#28253 := [symm #28251]: #28252 +#28259 := [monotonicity #28253 #28190]: #28258 +#28261 := [symm #28259]: #28260 +#28263 := [trans #28261 #28255]: #28262 +#28265 := [monotonicity #28263]: #28264 +#28269 := [symm #28265]: #28268 +#28132 := (= #24643 #28131) +#28071 := (or #24710 #28132) +#28072 := [quant-inst]: #28071 +#28240 := [unit-resolution #28072 #22949]: #28132 +#28270 := [trans #28240 #28269]: #27886 +#27765 := (not #27886) +#27882 := (iff #27884 #27886) +#27890 := (or #25961 #27882) +#27887 := (iff #27886 #27884) +#27891 := (or #25961 #27887) +#27761 := (iff #27891 #27890) +#27763 := (iff #27890 #27890) +#27725 := [rewrite]: #27763 +#27888 := (iff #27887 #27882) +#27889 := [rewrite]: #27888 +#27762 := [monotonicity #27889]: #27761 +#27726 := [trans #27762 #27725]: #27761 +#27760 := [quant-inst]: #27891 +#27764 := [mp #27760 #27726]: #27890 +#28170 := [unit-resolution #27764 #22936]: #27882 +#27945 := (not #27884) +#28153 := (iff #18238 #27945) +#28018 := (iff #12293 #27884) +#28181 := (iff #27884 #12293) +#28182 := [monotonicity #28173]: #28181 +#28152 := [symm #28182]: #28018 +#28227 := [monotonicity #28152]: #28153 +#28171 := [hypothesis]: #18238 +#28238 := [mp #28171 #28227]: #27945 +#27759 := (not #27882) +#27766 := (or #27759 #27884 #27765) +#27767 := [def-axiom]: #27766 +#28239 := [unit-resolution #27767 #28238 #28170]: #27765 +#28271 := [unit-resolution #28239 #28270]: false +#28272 := [lemma #28271]: #12293 +#30336 := [trans #28272 #30335]: #27884 +#28860 := (or #27945 #28852) +#28863 := (or #25945 #27945 #28852) +#28859 := (or #28852 #27945) +#28864 := (or #25945 #28859) +#28871 := (iff #28864 #28863) +#28866 := (or #25945 #28860) +#28869 := (iff #28866 #28863) +#28870 := [rewrite]: #28869 +#28867 := (iff #28864 #28866) +#28861 := (iff #28859 #28860) +#28862 := [rewrite]: #28861 +#28868 := [monotonicity #28862]: #28867 +#28872 := [trans #28868 #28870]: #28871 +#28865 := [quant-inst]: #28864 +#28873 := [mp #28865 #28872]: #28863 +#30364 := [unit-resolution #28873 #17966]: #28860 +#30347 := [unit-resolution #30364 #30336]: #28852 +#30363 := [symm #30347]: #30362 +#30346 := (= #28947 #28851) +#29189 := (* #26849 #28923) +#29193 := (+ #27108 #29189) +#29195 := (uf_43 #24643 #29193) +#30360 := (= #29195 #28851) +#30340 := (= #29193 #28847) +#30304 := (= #28847 #29193) +#30305 := (* -1::int #29193) +#30306 := (+ #28847 #30305) +#30307 := (<= #30306 0::int) +#28720 := (* -1::int #26851) +#28721 := (+ #24545 #28720) +#28723 := (>= #28721 0::int) +#28719 := (= #24545 #26851) +#30302 := [trans #28310 #28247]: #28719 +#30378 := (not #28719) +#30355 := (or #30378 #28723) +#30325 := [th-lemma]: #30355 +#30384 := [unit-resolution #30325 #30302]: #28723 +#29387 := (* -1::int #27108) +#29388 := (+ #24545 #29387) +#29389 := (<= #29388 0::int) +#29386 := (= #24545 #27108) +#30386 := [symm #28308]: #29386 +#30387 := (not #29386) +#30405 := (or #30387 #29389) +#30406 := [th-lemma]: #30405 +#30401 := [unit-resolution #30406 #30386]: #29389 +#28895 := (+ #26851 #27987) +#28896 := (uf_43 #24643 #28895) +#29061 := (uf_116 #28896) +#29065 := (* -1::int #29061) +#29086 := (+ #28847 #29065) +#29087 := (<= #29086 0::int) +#29085 := (= #28847 #29061) +#30447 := (= #29061 #28847) +#30411 := (= #28896 #3181) +#28891 := (uf_66 #24470 uf_298 #24643) +#30409 := (= #28891 #3181) +#30410 := [monotonicity #28243 #28190]: #30409 +#30404 := (= #28896 #28891) +#28897 := (= #28891 #28896) +#28898 := (not #28897) +#28892 := (uf_138 #28891 #24470) +#28893 := (= uf_9 #28892) +#28894 := (not #28893) +#28901 := (or #28894 #28898) +#28904 := (not #28901) +#28907 := (or #26887 #28904) +#28899 := (or #28898 #28894) +#28900 := (not #28899) +#28908 := (or #26887 #28900) +#28910 := (iff #28908 #28907) +#28912 := (iff #28907 #28907) +#28913 := [rewrite]: #28912 +#28905 := (iff #28900 #28904) +#28902 := (iff #28899 #28901) +#28903 := [rewrite]: #28902 +#28906 := [monotonicity #28903]: #28905 +#28911 := [monotonicity #28906]: #28910 +#28914 := [trans #28911 #28913]: #28910 +#28909 := [quant-inst]: #28908 +#28915 := [mp #28909 #28914]: #28907 +#30402 := [unit-resolution #28915 #20922]: #28904 +#28918 := (or #28901 #28897) +#28919 := [def-axiom]: #28918 +#30407 := [unit-resolution #28919 #30402]: #28897 +#30408 := [symm #30407]: #30404 +#30421 := [trans #30408 #30410]: #30411 +#30448 := [monotonicity #30421]: #30447 +#30449 := [symm #30448]: #29085 +#30450 := (not #29085) +#30445 := (or #30450 #29087) +#30451 := [th-lemma]: #30445 +#30417 := [unit-resolution #30451 #30449]: #29087 +#29066 := (+ #27987 #29065) +#29067 := (+ #26851 #29066) +#29081 := (>= #29067 0::int) +#29068 := (= #29067 0::int) +#29071 := (or #24716 #29068) +#29062 := (= #28895 #29061) +#29072 := (or #24716 #29062) +#29074 := (iff #29072 #29071) +#29076 := (iff #29071 #29071) +#29077 := [rewrite]: #29076 +#29069 := (iff #29062 #29068) +#29070 := [rewrite]: #29069 +#29075 := [monotonicity #29070]: #29074 +#29078 := [trans #29075 #29077]: #29074 +#29073 := [quant-inst]: #29072 +#29079 := [mp #29073 #29078]: #29071 +#30452 := [unit-resolution #29079 #22943]: #29068 +#30453 := (not #29068) +#30446 := (or #30453 #29081) +#30454 := [th-lemma]: #30446 +#30455 := [unit-resolution #30454 #30452]: #29081 +#28726 := (>= #26849 1::int) +#28724 := (= #26849 1::int) #2932 := (uf_139 uf_7) #2933 := (= #2932 1::int) -#11811 := [asserted]: #2933 -#29875 := (= #26315 #2932) -#29943 := [monotonicity #27656]: #29875 -#29944 := [trans #29943 #11811]: #28559 -#29945 := (not #28559) -#29946 := (or #29945 #28718) -#29947 := [th-lemma]: #29946 -#29948 := [unit-resolution #29947 #29944]: #28718 -#28736 := (<= #26315 1::int) -#29949 := (or #29945 #28736) -#29950 := [th-lemma]: #29949 -#29951 := [unit-resolution #29950 #29944]: #28736 -#28558 := (* -1::int #26317) -#28545 := (+ #24010 #28558) -#28694 := (>= #28545 0::int) -#28692 := (= #24010 #26317) -#29952 := [trans #27881 #27713]: #28692 -#29953 := (not #28692) -#29954 := (or #29953 #28694) -#29955 := [th-lemma]: #29954 -#29956 := [unit-resolution #29955 #29952]: #28694 -#29962 := (not #28548) -#29961 := (not #28082) -#29960 := (not #29277) -#29958 := (not #28736) -#29957 := (not #28718) -#29959 := (not #28694) -#29963 := (or #29871 #29957 #29958 #29959 #29957 #29958 #29960 #29961 #29962) -#29964 := [th-lemma]: #29963 -#29965 := [unit-resolution #29964 #28879 #29956 #29951 #29948 #29935 #29444]: #29871 -#29872 := (>= #29870 0::int) -#29285 := (>= #29276 0::int) -#29969 := (or #29861 #29285) -#29970 := [th-lemma]: #29969 -#29971 := [unit-resolution #29970 #29860]: #29285 -#28693 := (<= #28545 0::int) -#29975 := (or #29953 #28693) -#29976 := [th-lemma]: #29975 -#29977 := [unit-resolution #29976 #29952]: #28693 -#29979 := (not #29285) -#29978 := (not #28693) -#29982 := (or #29872 #29957 #29958 #29978 #29957 #29958 #29979 #29980 #29981) -#29983 := [th-lemma]: #29982 -#29984 := [unit-resolution #29983 #29977 #29974 #29951 #29948 #29971 #29968]: #29872 -#29986 := (not #29872) -#29985 := (not #29871) -#29987 := (or #29868 #29985 #29986) -#29988 := [th-lemma]: #29987 -#29989 := [unit-resolution #29988 #29984 #29965]: #29868 -#29577 := [symm #29989]: #29899 -#29571 := [trans #29577 #29897]: #29903 -#29578 := [trans #29571 #29902]: #29905 -#29562 := [monotonicity #29578]: #29911 -#29915 := (= #27485 #29007) -#28990 := (uf_66 #25399 #27482 #24108) -#29010 := (= #28990 #29007) -#29013 := (not #29010) -#28991 := (uf_138 #28990 #25399) -#28992 := (= uf_9 #28991) -#28993 := (not #28992) -#29019 := (or #28993 #29013) -#29024 := (not #29019) -#29041 := (or #26353 #29024) -#28994 := (* #27482 #26315) -#28995 := (+ #26574 #28994) -#28996 := (uf_43 #24108 #28995) -#28997 := (= #28990 #28996) -#28998 := (not #28997) -#28999 := (or #28998 #28993) -#29000 := (not #28999) -#29040 := (or #26353 #29000) -#29039 := (iff #29040 #29041) -#29056 := (iff #29041 #29041) -#29073 := [rewrite]: #29056 -#29025 := (iff #29000 #29024) -#29022 := (iff #28999 #29019) -#29016 := (or #29013 #28993) -#29020 := (iff #29016 #29019) -#29021 := [rewrite]: #29020 -#29017 := (iff #28999 #29016) -#29014 := (iff #28998 #29013) -#29011 := (iff #28997 #29010) -#29008 := (= #28996 #29007) -#29005 := (= #28995 #29004) -#29002 := (= #28994 #29001) -#29003 := [rewrite]: #29002 -#29006 := [monotonicity #29003]: #29005 -#29009 := [monotonicity #29006]: #29008 -#29012 := [monotonicity #29009]: #29011 -#29015 := [monotonicity #29012]: #29014 -#29018 := [monotonicity #29015]: #29017 -#29023 := [trans #29018 #29021]: #29022 -#29026 := [monotonicity #29023]: #29025 -#29072 := [monotonicity #29026]: #29039 -#29107 := [trans #29072 #29073]: #29039 -#29071 := [quant-inst]: #29040 -#29108 := [mp #29071 #29107]: #29041 -#29907 := [unit-resolution #29108 #20322]: #29024 -#29209 := (or #29019 #29010) -#29207 := [def-axiom]: #29209 -#29908 := [unit-resolution #29207 #29907]: #29010 -#29909 := (= #27485 #28990) -#29910 := [monotonicity #27889]: #29909 -#29916 := [trans #29910 #29908]: #29915 -#29561 := [trans #29916 #29562]: #29917 -#29502 := [trans #29561 #29914]: #29919 -#29563 := [monotonicity #29502]: #29921 -#29555 := [symm #29563]: #29923 -#29392 := [monotonicity #29555]: #29925 -#29556 := [trans #29392 #29928]: #29929 -#29557 := [trans #29556 #27863]: #29931 -#29559 := [monotonicity #29557]: #29558 -#29568 := [symm #29559]: #29567 -#29565 := [trans #13530 #29568]: #28582 -#29532 := (not #28582) -#29533 := (or #28638 #29532) -#29534 := [def-axiom]: #29533 -#29569 := [unit-resolution #29534 #29565]: #28638 -#29695 := (= #24648 #28596) -#29691 := (= #28596 #24648) -#29574 := (= #27351 uf_7) -#29573 := (= #27351 #24108) -#28379 := (or #27225 #27411 #27352) -#28382 := [def-axiom]: #28379 -#29572 := [unit-resolution #28382 #29878 #27636]: #27352 -#29566 := [symm #29572]: #29573 -#29575 := [trans #29566 #27656]: #29574 -#29692 := [monotonicity #29575]: #29691 -#29696 := [symm #29692]: #29695 -#29582 := [trans #27842 #29696]: #28614 -#29507 := (not #28587) -#29688 := (iff #11876 #29507) -#29586 := (iff #11873 #28587) -#28726 := (iff #28587 #11873) -#29579 := (= #28586 #2990) -#29592 := (= #28585 #2977) -#29583 := (= #28585 #24228) -#29581 := [monotonicity #29557]: #29583 -#29593 := [trans #29581 #27921]: #29592 -#29584 := [monotonicity #29593]: #29579 -#29585 := [monotonicity #29584]: #28726 -#29687 := [symm #29585]: #29586 -#29689 := [monotonicity #29687]: #29688 -#29690 := [mp #13533 #29689]: #29507 -#29698 := (iff #29038 #28593) -#29699 := (iff #27558 #28592) -#29686 := (iff #28592 #27558) -#29677 := (= #28591 #27557) -#29676 := (= #27095 #27556) -#29673 := (= #27556 #27095) -#29675 := [monotonicity #29712]: #29673 -#29674 := [symm #29675]: #29676 -#29684 := [monotonicity #29674]: #29677 -#29697 := [monotonicity #29684]: #29686 -#29700 := [symm #29697]: #29699 -#29685 := [monotonicity #29700]: #29698 -#29706 := [hypothesis]: #29038 -#29701 := [mp #29706 #29685]: #28593 -#29506 := (or #28632 #28592) -#29471 := [def-axiom]: #29506 -#29702 := [unit-resolution #29471 #29701]: #28632 -#29554 := (or #28652 #28587 #28629 #28635 #28641) -#29541 := [def-axiom]: #29554 -#29703 := [unit-resolution #29541 #29702 #29690 #29582 #29569 #29570]: false -#29705 := [lemma #29703]: #29704 -#29110 := [unit-resolution #29705 #28973 #29837 #29570]: false -#28980 := [lemma #29110]: #28981 -#30221 := [unit-resolution #28980 #29510]: #28652 -#28160 := (or #28655 #28647) -#28159 := [def-axiom]: #28160 -#30222 := [unit-resolution #28159 #30221]: #28655 -#29319 := (or #28664 #28658) -#29325 := (or #12349 #12967) -#23835 := (or #22641 #12913) -#23836 := [def-axiom]: #23835 -#29317 := [unit-resolution #23836 #28122]: #12913 -#29318 := (or #12349 #21575 #12967) -#27702 := (or #12349 #21575 #26481 #12967) -#27645 := [hypothesis]: #12913 -#27641 := (<= #27640 0::int) -#27483 := (= uf_298 #27482) -#27486 := (or #26376 #27483) -#27487 := [quant-inst]: #27486 -#27646 := [unit-resolution #27487 #16290]: #27483 -#27649 := (not #27483) -#27650 := (or #27649 #27641) -#27651 := [th-lemma]: #27650 -#27652 := [unit-resolution #27651 #27646]: #27641 -#27672 := (iff #17724 #27561) -#27670 := (iff #12349 #27560) -#27668 := (iff #27560 #12349) -#27666 := (= #27559 #3223) -#27658 := [symm #27646]: #27657 -#27665 := [monotonicity #27663 #27658 #27656]: #27664 -#27667 := [monotonicity #27665]: #27666 -#27669 := [monotonicity #27667]: #27668 -#27671 := [symm #27669]: #27670 -#27673 := [monotonicity #27671]: #27672 -#27653 := [hypothesis]: #17724 -#27674 := [mp #27653 #27673]: #27561 -#27593 := (or #27565 #27560) -#27594 := [def-axiom]: #27593 -#27675 := [unit-resolution #27594 #27674]: #27565 -#27681 := [hypothesis]: #12968 -#27682 := (or #27649 #27642) -#27683 := [th-lemma]: #27682 -#27684 := [unit-resolution #27683 #27646]: #27642 -#27690 := [unit-resolution #27689 #27684 #27681 #27680]: #27685 -#27698 := (or #27504 #27514 #27568) -#27699 := [unit-resolution #27589 #20766 #13537 #27697 #27696]: #27698 -#27700 := [unit-resolution #27699 #27690 #27675]: #27504 -#27701 := [th-lemma #27700 #27652 #27645]: false -#27703 := [lemma #27701]: #27702 -#29322 := [unit-resolution #27703 #28088]: #29318 -#29326 := [unit-resolution #29322 #29317]: #29325 -#29327 := [unit-resolution #29326 #28538]: #12349 -#28201 := (or #28664 #17724 #28658) -#28206 := [def-axiom]: #28201 -#29320 := [unit-resolution #28206 #29327]: #29319 -#30225 := [unit-resolution #29320 #30222]: #28664 -#29321 := (or #12355 #28661) -#28667 := (iff #12355 #28664) -#29514 := (not #28667) -#29693 := [hypothesis]: #29514 -#29473 := (or #27590 #28667) -#28583 := (or #28582 #28580) -#28584 := (not #28583) -#28594 := (or #28593 #28590) -#28595 := (not #28594) -#28597 := (= #28596 uf_14) -#28598 := (not #28597) -#28599 := (or #28598 #28595 #28587 #28584) -#28600 := (not #28599) -#28605 := (or #28604 #28602) -#28606 := (not #28605) -#28607 := (or #28597 #28606) -#28608 := (not #28607) -#28609 := (or #28608 #28600) -#28610 := (not #28609) -#28611 := (or #17724 #28610) -#28612 := (not #28611) -#28613 := (iff #12355 #28612) -#29474 := (or #27590 #28613) -#29531 := (iff #29474 #29473) -#29536 := (iff #29473 #29473) -#29509 := [rewrite]: #29536 -#28668 := (iff #28613 #28667) -#28665 := (iff #28612 #28664) -#28662 := (iff #28611 #28661) -#28659 := (iff #28610 #28658) -#28656 := (iff #28609 #28655) -#28653 := (iff #28600 #28652) -#28650 := (iff #28599 #28647) -#28644 := (or #28629 #28635 #28587 #28641) -#28648 := (iff #28644 #28647) -#28649 := [rewrite]: #28648 -#28645 := (iff #28599 #28644) -#28642 := (iff #28584 #28641) -#28639 := (iff #28583 #28638) -#28640 := [rewrite]: #28639 -#28643 := [monotonicity #28640]: #28642 -#28636 := (iff #28595 #28635) -#28633 := (iff #28594 #28632) -#28634 := [rewrite]: #28633 -#28637 := [monotonicity #28634]: #28636 -#28630 := (iff #28598 #28629) -#28615 := (iff #28597 #28614) -#28616 := [rewrite]: #28615 -#28631 := [monotonicity #28616]: #28630 -#28646 := [monotonicity #28631 #28637 #28643]: #28645 -#28651 := [trans #28646 #28649]: #28650 -#28654 := [monotonicity #28651]: #28653 -#28627 := (iff #28608 #28626) -#28624 := (iff #28607 #28623) -#28621 := (iff #28606 #28620) -#28618 := (iff #28605 #28617) -#28619 := [rewrite]: #28618 -#28622 := [monotonicity #28619]: #28621 -#28625 := [monotonicity #28616 #28622]: #28624 -#28628 := [monotonicity #28625]: #28627 -#28657 := [monotonicity #28628 #28654]: #28656 -#28660 := [monotonicity #28657]: #28659 -#28663 := [monotonicity #28660]: #28662 -#28666 := [monotonicity #28663]: #28665 -#28669 := [monotonicity #28666]: #28668 -#29535 := [monotonicity #28669]: #29531 -#29520 := [trans #29535 #29509]: #29531 -#29472 := [quant-inst]: #29474 -#29508 := [mp #29472 #29520]: #29473 -#29694 := [unit-resolution #29508 #21176 #29693]: false -#29580 := [lemma #29694]: #28667 -#28208 := (or #29514 #12355 #28661) -#28211 := [def-axiom]: #28208 -#29345 := [unit-resolution #28211 #29580]: #29321 -#30226 := [unit-resolution #29345 #30225]: #12355 -#29853 := (or #17730 #22574) -#23760 := (or #22595 #22589) -#23761 := [def-axiom]: #23760 -#29386 := [unit-resolution #23761 #28988]: #22589 -#29389 := (or #22592 #17724 #22586) -#23752 := (or #22592 #17721 #17724 #22586) -#23753 := [def-axiom]: #23752 -#29181 := [unit-resolution #23753 #27738]: #29389 -#29213 := [unit-resolution #29181 #29386 #29327]: #22586 -#23742 := (or #22583 #22577) -#23743 := [def-axiom]: #23742 -#29850 := [unit-resolution #23743 #29213]: #22577 -#29851 := (or #22580 #17730 #22574) -#23736 := (or #22580 #17721 #17730 #22574) -#23737 := [def-axiom]: #23736 -#29852 := [unit-resolution #23737 #27738]: #29851 -#29854 := [unit-resolution #29852 #29850]: #29853 -#30229 := [unit-resolution #29854 #30226]: #22574 -#30232 := (or #22571 #22532) -#28690 := [unit-resolution #29740 #20106 #28525 #27869 #29448]: #27522 -#28541 := [unit-resolution #29773 #28690]: #27495 -#29313 := [unit-resolution #29705 #28973 #28541]: #28652 -#29314 := [unit-resolution #28159 #29313]: #28655 -#29323 := [unit-resolution #29320 #29314]: #28664 -#29346 := [unit-resolution #29345 #29323]: #12355 -#29264 := [unit-resolution #29854 #29346]: #22574 -#29855 := [hypothesis]: #22526 -#23652 := (or #22529 #22523) -#23653 := [def-axiom]: #23652 -#29856 := [unit-resolution #23653 #29855]: #22529 -#23708 := (or #22559 #22523) -#23709 := [def-axiom]: #23708 -#29857 := [unit-resolution #23709 #29855]: #22559 -#29858 := (or #22571 #22562 #22532) -#28575 := (or #22571 #17724 #22562 #22532) -#28560 := [hypothesis]: #12349 -#28561 := [hypothesis]: #22529 -#28562 := [hypothesis]: #22574 -#23720 := (or #22571 #12355) -#23721 := [def-axiom]: #23720 -#28563 := [unit-resolution #23721 #28562]: #12355 -#28564 := (or #22538 #17730 #22532) -#23662 := (or #22538 #17721 #17730 #22532) -#23663 := [def-axiom]: #23662 -#28565 := [unit-resolution #23663 #27738]: #28564 -#28566 := [unit-resolution #28565 #28563 #28561]: #22538 -#23668 := (or #22541 #22535) -#23669 := [def-axiom]: #23668 -#28567 := [unit-resolution #23669 #28566]: #22541 -#28568 := [hypothesis]: #22559 -#23726 := (or #22571 #22565) -#23727 := [def-axiom]: #23726 -#28569 := [unit-resolution #23727 #28562]: #22565 -#23716 := (or #22568 #22556 #22562) -#23717 := [def-axiom]: #23716 -#28570 := [unit-resolution #23717 #28569 #28568]: #22556 -#23686 := (or #22553 #22547) -#23687 := [def-axiom]: #23686 -#28571 := [unit-resolution #23687 #28570]: #22547 -#28572 := (or #22550 #17724 #22544) -#23678 := (or #22550 #17721 #17724 #22544) -#23679 := [def-axiom]: #23678 -#28573 := [unit-resolution #23679 #27738]: #28572 -#28574 := [unit-resolution #28573 #28571 #28567 #28560]: false -#28576 := [lemma #28574]: #28575 -#29859 := [unit-resolution #28576 #29327]: #29858 -#29993 := [unit-resolution #29859 #29857 #29856 #29264]: false -#29994 := [lemma #29993]: #22523 -#30143 := (or #22526 #22520) -#28967 := (or #15127 #12967) -#14990 := (<= uf_286 4294967295::int) -#14993 := (iff #12726 #14990) -#14984 := (+ 4294967295::int #12727) -#14987 := (>= #14984 0::int) -#14991 := (iff #14987 #14990) -#14992 := [rewrite]: #14991 -#14988 := (iff #12726 #14987) -#14985 := (= #12728 #14984) -#14986 := [monotonicity #7481]: #14985 -#14989 := [monotonicity #14986]: #14988 -#14994 := [trans #14989 #14992]: #14993 -#13540 := [and-elim #13524]: #12726 -#14995 := [mp #13540 #14994]: #14990 -#28956 := [hypothesis]: #17745 -#28957 := [th-lemma #27681 #28956 #14995]: false -#28968 := [lemma #28957]: #28967 -#30138 := [unit-resolution #28968 #28538]: #15127 -#30141 := (or #22526 #17745 #22520) -#30136 := (or #21575 #13051) -#30139 := [th-lemma]: #30136 -#30140 := [unit-resolution #30139 #29317]: #13051 -#23632 := (or #22526 #17742 #17745 #22520) -#23633 := [def-axiom]: #23632 -#30142 := [unit-resolution #23633 #30140]: #30141 -#30144 := [unit-resolution #30142 #30138]: #30143 -#30150 := [unit-resolution #30144 #29994]: #22520 -#23622 := (or #22517 #22511) -#23623 := [def-axiom]: #23622 -#30127 := [unit-resolution #23623 #30150]: #22511 -#23568 := (>= #13063 -1::int) -#23618 := (or #22517 #13061) -#23619 := [def-axiom]: #23618 -#30124 := [unit-resolution #23619 #30150]: #13061 -#30129 := (or #21556 #23568) -#30128 := [th-lemma]: #30129 -#30130 := [unit-resolution #30128 #30124]: #23568 -#29095 := (not #23568) -#30131 := (or #13089 #29095) -#29096 := (or #13089 #12967 #29095) -#29081 := [hypothesis]: #23568 -#29082 := [hypothesis]: #13093 -#29094 := [th-lemma #29082 #27681 #29081]: false -#29097 := [lemma #29094]: #29096 -#30132 := [unit-resolution #29097 #28538]: #30131 -#30133 := [unit-resolution #30132 #30130]: #13089 -#23608 := (or #22514 #13093 #22508) -#23609 := [def-axiom]: #23608 -#30134 := [unit-resolution #23609 #30133 #30127]: #22508 -#23600 := (or #22505 #22499) -#23601 := [def-axiom]: #23600 -#30135 := [unit-resolution #23601 #30134]: #22499 -#23693 := (+ uf_297 #13126) -#23695 := (>= #23693 0::int) -#30148 := [hypothesis]: #22562 -#23698 := (or #22559 #12524) -#23699 := [def-axiom]: #23698 -#30154 := [unit-resolution #23699 #30148]: #12524 -#30155 := (or #21614 #23695) -#30153 := [th-lemma]: #30155 -#30156 := [unit-resolution #30153 #30154]: #23695 -#30164 := (not #23695) -#30174 := (or #13129 #30164) -#30165 := (or #13129 #13358 #30164) -#30173 := [th-lemma]: #30165 -#30146 := [unit-resolution #30173 #28859]: #30174 -#30163 := [unit-resolution #30146 #30156]: #13129 -#30161 := (= #3101 #3272) -#30159 := (= #3272 #3101) -#30157 := (= #3271 #3100) -#30149 := (= #28166 uf_297) -#30166 := [symm #29826]: #30149 -#30147 := [trans #28479 #30166]: #27364 -#30152 := [monotonicity #30147]: #27366 -#30172 := (= #3271 #27249) -#30170 := (= uf_305 #26870) -#30168 := (= uf_305 #28166) -#30167 := [symm #30154]: #3288 -#30169 := [trans #30167 #29826]: #30168 -#30171 := [trans #30169 #28499]: #30170 -#30180 := [monotonicity #30171]: #30172 -#30151 := [trans #30180 #30152]: #30157 -#30160 := [monotonicity #30151]: #30159 -#30162 := [symm #30160]: #30161 -#30194 := (= uf_304 #3101) -#23696 := (or #22559 #12521) -#23697 := [def-axiom]: #23696 -#30145 := [unit-resolution #23697 #30148]: #12521 -#30158 := [symm #30145]: #3287 -#30195 := [trans #30158 #28875]: #30194 -#30190 := [trans #30195 #30162]: #12446 -#23573 := (or #21468 #21466 #13128) -#23574 := [def-axiom]: #23573 -#30196 := [unit-resolution #23574 #30190 #30163]: #21468 -#23575 := (or #22493 #21467) -#23576 := [def-axiom]: #23575 -#30197 := [unit-resolution #23576 #30196]: #22493 -#23596 := (or #22502 #22496 #21531) -#23597 := [def-axiom]: #23596 -#30176 := [unit-resolution #23597 #30197 #30135]: #21531 -#23588 := (or #21526 #18027) -#23589 := [def-axiom]: #23588 -#30178 := [unit-resolution #23589 #30176]: #18027 -#29153 := (+ uf_298 #18020) -#30137 := (>= #29153 0::int) -#30208 := (not #30137) -#30288 := (not #30181) -#30175 := (= #3230 #17765) -#30256 := (not #30175) -#30251 := (+ #3230 #18007) -#30253 := (>= #30251 0::int) -#30263 := (not #30253) -#23704 := (or #22559 #12997) -#23705 := [def-axiom]: #23704 -#30179 := [unit-resolution #23705 #30148]: #12997 -#23690 := (+ uf_296 #13112) -#23691 := (<= #23690 0::int) -#30199 := (or #21613 #23691) -#30200 := [th-lemma]: #30199 -#30182 := [unit-resolution #30200 #30145]: #23691 -#23585 := (not #18009) -#23586 := (or #21526 #23585) -#23587 := [def-axiom]: #23586 -#30183 := [unit-resolution #23587 #30176]: #23585 -#30264 := (not #23691) -#30265 := (or #30263 #18009 #30264 #12996) -#30258 := [hypothesis]: #12997 -#30259 := [hypothesis]: #23691 -#30260 := [hypothesis]: #23585 -#30261 := [hypothesis]: #30253 -#30262 := [th-lemma #30261 #30260 #30259 #30258]: false -#30266 := [lemma #30262]: #30265 -#30184 := [unit-resolution #30266 #30183 #30182 #30179]: #30263 -#30257 := (or #30256 #30253) -#30267 := [th-lemma]: #30257 -#30185 := [unit-resolution #30267 #30184]: #30256 -#30289 := (or #30288 #30175) -#30284 := (= #17765 #3230) -#30282 := (= #17764 #3220) -#30280 := (= #17764 #27555) -#30276 := (= ?x785!14 #27482) -#30274 := (= ?x785!14 #28213) -#30272 := (= ?x785!14 uf_298) -#30271 := [hypothesis]: #30181 -#30273 := [symm #30271]: #30272 -#30275 := [trans #30273 #28873]: #30274 -#30277 := [trans #30275 #29458]: #30276 -#30278 := (= #2979 #26469) -#30279 := [symm #27663]: #30278 -#30281 := [monotonicity #30279 #30277 #27654]: #30280 -#30283 := [trans #30281 #29712]: #30282 -#30285 := [monotonicity #30283]: #30284 -#30286 := [symm #30285]: #30175 -#30250 := [hypothesis]: #30256 -#30287 := [unit-resolution #30250 #30286]: false -#30290 := [lemma #30287]: #30289 -#30186 := [unit-resolution #30290 #30185]: #30288 -#30213 := (or #30181 #30208) -#29154 := (<= #29153 0::int) -#29165 := (+ uf_296 #18007) -#29166 := (>= #29165 0::int) -#30187 := (not #29166) -#30177 := (or #30187 #18009 #30264) -#30207 := [th-lemma]: #30177 -#30189 := [unit-resolution #30207 #30183 #30182]: #30187 -#23583 := (or #21526 #17761) -#23584 := [def-axiom]: #23583 -#30191 := [unit-resolution #23584 #30176]: #17761 -#23581 := (or #21526 #17757) -#23582 := [def-axiom]: #23581 -#30192 := [unit-resolution #23582 #30176]: #17757 -#30050 := (or #22482 #21510 #21511 #29154 #29166) -#29142 := (+ #17765 #13378) -#29143 := (<= #29142 0::int) -#29144 := (+ ?x785!14 #12965) -#29145 := (>= #29144 0::int) -#29146 := (or #21511 #29145 #29143 #21510) -#30051 := (or #22482 #29146) -#30058 := (iff #30051 #30050) -#29174 := (or #21510 #21511 #29154 #29166) -#30053 := (or #22482 #29174) -#30056 := (iff #30053 #30050) +#11813 := [asserted]: #2933 +#30462 := (= #26849 #2932) +#30463 := [monotonicity #28190]: #30462 +#30464 := [trans #30463 #11813]: #28724 +#30465 := (not #28724) +#30466 := (or #30465 #28726) +#30461 := [th-lemma]: #30466 +#30416 := [unit-resolution #30461 #30464]: #28726 +#28725 := (<= #26849 1::int) +#30467 := (or #30465 #28725) +#30422 := [th-lemma]: #30467 +#30468 := [unit-resolution #30422 #30464]: #28725 +#30482 := (not #29389) +#30487 := (not #29083) +#30486 := (not #28725) +#30484 := (not #28726) +#30471 := (not #28723) +#30470 := (not #29081) +#30469 := (not #29087) +#30483 := (or #30307 #30469 #30470 #30471 #30484 #30486 #30484 #30486 #30487 #30482) +#30488 := [th-lemma]: #30483 +#30485 := [unit-resolution #30488 #30468 #30416 #30455 #29268 #30417 #30401 #30384]: #30307 +#30317 := (>= #30306 0::int) +#28722 := (<= #28721 0::int) +#30489 := (or #30378 #28722) +#30490 := [th-lemma]: #30489 +#30491 := [unit-resolution #30490 #30302]: #28722 +#29390 := (>= #29388 0::int) +#30492 := (or #30387 #29390) +#30493 := [th-lemma]: #30492 +#30494 := [unit-resolution #30493 #30386]: #29390 +#29088 := (>= #29086 0::int) +#30495 := (or #30450 #29088) +#30498 := [th-lemma]: #30495 +#30530 := [unit-resolution #30498 #30449]: #29088 +#29080 := (<= #29067 0::int) +#30531 := (or #30453 #29080) +#30532 := [th-lemma]: #30531 +#30533 := [unit-resolution #30532 #30452]: #29080 +#30537 := (not #29390) +#30536 := (not #28722) +#30535 := (not #29080) +#30534 := (not #29088) +#30538 := (or #30317 #30534 #30535 #30536 #30484 #30486 #30484 #30486 #30318 #30537) +#30539 := [th-lemma]: #30538 +#30540 := [unit-resolution #30539 #30468 #30416 #30533 #30316 #30530 #30494 #30491]: #30317 +#30542 := (not #30317) +#30541 := (not #30307) +#30543 := (or #30304 #30541 #30542) +#30544 := [th-lemma]: #30543 +#30545 := [unit-resolution #30544 #30540 #30485]: #30304 +#29850 := [symm #30545]: #30340 +#29848 := [monotonicity #29850]: #30360 +#30376 := (= #28947 #29195) +#29247 := (uf_66 #25933 #28923 #24643) +#29198 := (= #29247 #29195) +#29266 := (= #29195 #29247) +#29276 := (not #29266) +#29248 := (uf_138 #29247 #25933) +#29249 := (= uf_9 #29248) +#29182 := (not #29249) +#29306 := (or #29182 #29276) +#29310 := (not #29306) +#29317 := (or #26887 #29310) +#29183 := (* #28923 #26849) +#29181 := (+ #27108 #29183) +#29184 := (uf_43 #24643 #29181) +#29185 := (= #29247 #29184) +#29186 := (not #29185) +#29187 := (or #29186 #29182) +#29188 := (not #29187) +#29318 := (or #26887 #29188) +#29327 := (iff #29318 #29317) +#29329 := (iff #29317 #29317) +#29330 := [rewrite]: #29329 +#29311 := (iff #29188 #29310) +#29308 := (iff #29187 #29306) +#29303 := (or #29276 #29182) +#29307 := (iff #29303 #29306) +#29302 := [rewrite]: #29307 +#29304 := (iff #29187 #29303) +#29287 := (iff #29186 #29276) +#29274 := (iff #29185 #29266) +#29272 := (iff #29198 #29266) +#29273 := [rewrite]: #29272 +#29199 := (iff #29185 #29198) +#29196 := (= #29184 #29195) +#29191 := (= #29181 #29193) +#29277 := (= #29183 #29189) +#29192 := [rewrite]: #29277 +#29194 := [monotonicity #29192]: #29191 +#29197 := [monotonicity #29194]: #29196 +#29271 := [monotonicity #29197]: #29199 +#29275 := [trans #29271 #29273]: #29274 +#29288 := [monotonicity #29275]: #29287 +#29305 := [monotonicity #29288]: #29304 +#29309 := [trans #29305 #29302]: #29308 +#29312 := [monotonicity #29309]: #29311 +#29328 := [monotonicity #29312]: #29327 +#29331 := [trans #29328 #29330]: #29327 +#29326 := [quant-inst]: #29318 +#29324 := [mp #29326 #29331]: #29317 +#30334 := [unit-resolution #29324 #20922]: #29310 +#29382 := (or #29306 #29266) +#29383 := [def-axiom]: #29382 +#30357 := [unit-resolution #29383 #30334]: #29266 +#30359 := [symm #30357]: #29198 +#30333 := (= #28947 #29247) +#30358 := [monotonicity #28318]: #30333 +#30339 := [trans #30358 #30359]: #30376 +#29851 := [trans #30339 #29848]: #30346 +#29852 := [trans #29851 #30363]: #30349 +#29893 := [monotonicity #29852]: #30351 +#29853 := [symm #29893]: #30353 +#29854 := [monotonicity #29853]: #30388 +#29855 := [trans #29854 #30385]: #30391 +#29856 := [trans #29855 #28292]: #30393 +#29902 := [monotonicity #29856]: #29899 +#29910 := [symm #29902]: #29898 +#29866 := [trans #14075 #29910]: #29093 +#29863 := (not #29093) +#29864 := (or #29149 #29863) +#29865 := [def-axiom]: #29864 +#29868 := [unit-resolution #29865 #29866]: #29149 +#29981 := (= #25182 #29107) +#29939 := (= #29107 #25182) +#29897 := (= #27885 uf_7) +#29867 := (= #27885 #24643) +#28874 := (or #27759 #27945 #27886) +#28875 := [def-axiom]: #28874 +#29869 := [unit-resolution #28875 #30336 #28170]: #27886 +#29904 := [symm #29869]: #29867 +#29938 := [trans #29904 #28190]: #29897 +#29978 := [monotonicity #29938]: #29939 +#29947 := [symm #29978]: #29981 +#29948 := [trans #27481 #29947]: #29125 +#29688 := (not #29098) +#29881 := (iff #11878 #29688) +#29879 := (iff #11875 #29098) +#29877 := (iff #29098 #11875) +#29892 := (= #29097 #2990) +#29889 := (= #29096 #2977) +#29687 := (= #29096 #24763) +#29949 := [monotonicity #29856]: #29687 +#29891 := [trans #29949 #28353]: #29889 +#29890 := [monotonicity #29891]: #29892 +#29878 := [monotonicity #29890]: #29877 +#29880 := [symm #29878]: #29879 +#29876 := [monotonicity #29880]: #29881 +#29944 := [mp #14078 #29876]: #29688 +#29015 := (uf_66 #27003 #28923 #24643) +#29016 := (uf_58 #3150 #29015) +#29017 := (uf_136 #29016) +#29018 := (= uf_9 #29017) +#29050 := (not #29018) +#30097 := (iff #29050 #29104) +#30107 := (iff #29018 #29103) +#30105 := (iff #29103 #29018) +#29984 := (= #29102 #29017) +#29995 := (= #27629 #29016) +#29993 := (= #29016 #27629) +#29950 := (= #29015 #3181) +#29983 := (= #28923 uf_298) +#29952 := [symm #29280]: #29983 +#29951 := [monotonicity #28197 #29952 #28190]: #29950 +#29994 := [monotonicity #29951]: #29993 +#29707 := [symm #29994]: #29995 +#29996 := [monotonicity #29707]: #29984 +#30106 := [monotonicity #29996]: #30105 +#30110 := [symm #30106]: #30107 +#30116 := [monotonicity #30110]: #30097 +#29019 := (uf_24 uf_287 #29015) +#29020 := (= uf_9 #29019) +#29021 := (not #29020) +#29025 := (or #29018 #29021) +#29028 := (not #29025) +#29977 := (or #28964 #28974 #29028) +#29039 := (or #27034 #24483 #27015 #27018 #28964 #28974 #29028) +#29022 := (or #29021 #29018) +#29023 := (not #29022) +#29024 := (or #27018 #28964 #28962 #24483 #27015 #29023) +#29040 := (or #27034 #29024) +#29047 := (iff #29040 #29039) +#29034 := (or #24483 #27015 #27018 #28964 #28974 #29028) +#29042 := (or #27034 #29034) +#29045 := (iff #29042 #29039) +#29046 := [rewrite]: #29045 +#29043 := (iff #29040 #29042) +#29037 := (iff #29024 #29034) +#29031 := (or #27018 #28964 #28974 #24483 #27015 #29028) +#29035 := (iff #29031 #29034) +#29036 := [rewrite]: #29035 +#29032 := (iff #29024 #29031) +#29029 := (iff #29023 #29028) +#29026 := (iff #29022 #29025) +#29027 := [rewrite]: #29026 +#29030 := [monotonicity #29027]: #29029 +#29033 := [monotonicity #28978 #29030]: #29032 +#29038 := [trans #29033 #29036]: #29037 +#29044 := [monotonicity #29038]: #29043 +#29048 := [trans #29044 #29046]: #29047 +#29041 := [quant-inst]: #29040 +#29049 := [mp #29041 #29048]: #29039 +#29985 := [unit-resolution #29049 #21366 #14064 #28636 #28230]: #29977 +#29986 := [unit-resolution #29985 #29270 #30324]: #29028 +#29051 := (or #29025 #29050) +#29052 := [def-axiom]: #29051 +#29943 := [unit-resolution #29052 #29986]: #29050 +#30117 := [mp #29943 #30116]: #29104 +#29857 := (or #29143 #29103) +#29858 := [def-axiom]: #29857 +#30151 := [unit-resolution #29858 #30117]: #29143 +#29678 := (or #29163 #29098 #29140 #29146 #29152) +#29700 := [def-axiom]: #29678 +#30152 := [unit-resolution #29700 #30151 #29944 #29948 #29868 #29847]: false +#30153 := [lemma #30152]: #29163 +#29736 := (or #29166 #29158) +#29737 := [def-axiom]: #29736 +#30575 := [unit-resolution #29737 #30153]: #29166 +#24370 := (or #23173 #13225) +#24371 := [def-axiom]: #24370 +#29434 := [unit-resolution #24371 #29337]: #13225 +#28236 := (or #12296 #13365 #27015 #13510) +#28179 := [hypothesis]: #13225 +#28015 := (uf_66 #26867 uf_298 #27402) +#28016 := (uf_125 #28015 #26867) +#28046 := (* -1::int #28016) +#28174 := (+ uf_298 #28046) +#28175 := (<= #28174 0::int) +#28017 := (= uf_298 #28016) +#28020 := (or #26910 #28017) +#28021 := [quant-inst]: #28020 +#28180 := [unit-resolution #28021 #16791]: #28017 +#28183 := (not #28017) +#28184 := (or #28183 #28175) +#28185 := [th-lemma]: #28184 +#28186 := [unit-resolution #28185 #28180]: #28175 +#28037 := (>= #28016 0::int) +#28038 := (not #28037) +#28089 := (uf_66 #27003 #28016 #24643) +#28093 := (uf_24 uf_287 #28089) +#28094 := (= uf_9 #28093) +#28095 := (not #28094) +#28090 := (uf_58 #3150 #28089) +#28091 := (uf_136 #28090) +#28092 := (= uf_9 #28091) +#28099 := (or #28092 #28095) +#28206 := (iff #18241 #28095) +#28204 := (iff #12296 #28094) +#28202 := (iff #28094 #12296) +#28200 := (= #28093 #3184) +#28198 := (= #28089 #3181) +#28191 := (= #28016 uf_298) +#28192 := [symm #28180]: #28191 +#28199 := [monotonicity #28197 #28192 #28190]: #28198 +#28201 := [monotonicity #28199]: #28200 +#28203 := [monotonicity #28201]: #28202 +#28205 := [symm #28203]: #28204 +#28207 := [monotonicity #28205]: #28206 +#28187 := [hypothesis]: #18241 +#28208 := [mp #28187 #28207]: #28095 +#28127 := (or #28099 #28094) +#28128 := [def-axiom]: #28127 +#28209 := [unit-resolution #28128 #28208]: #28099 +#28047 := (+ #24645 #28046) +#28048 := (<= #28047 0::int) +#28219 := (not #28048) +#28215 := [hypothesis]: #13511 +#28176 := (>= #28174 0::int) +#28216 := (or #28183 #28176) +#28217 := [th-lemma]: #28216 +#28218 := [unit-resolution #28217 #28180]: #28176 +#28221 := (not #28176) +#28222 := (or #28219 #28220 #28221 #13510) +#28223 := [th-lemma]: #28222 +#28224 := [unit-resolution #28223 #28218 #28215 #28214]: #28219 +#28102 := (not #28099) +#28232 := (or #28038 #28048 #28102) +#28113 := (or #27034 #24483 #27015 #27018 #28038 #28048 #28102) +#28096 := (or #28095 #28092) +#28097 := (not #28096) +#28035 := (+ #28016 #26944) +#28036 := (>= #28035 0::int) +#28098 := (or #27018 #28038 #28036 #24483 #27015 #28097) +#28114 := (or #27034 #28098) +#28121 := (iff #28114 #28113) +#28108 := (or #24483 #27015 #27018 #28038 #28048 #28102) +#28116 := (or #27034 #28108) +#28119 := (iff #28116 #28113) +#28120 := [rewrite]: #28119 +#28117 := (iff #28114 #28116) +#28111 := (iff #28098 #28108) +#28105 := (or #27018 #28038 #28048 #24483 #27015 #28102) +#28109 := (iff #28105 #28108) +#28110 := [rewrite]: #28109 +#28106 := (iff #28098 #28105) +#28103 := (iff #28097 #28102) +#28100 := (iff #28096 #28099) +#28101 := [rewrite]: #28100 +#28104 := [monotonicity #28101]: #28103 +#28051 := (iff #28036 #28048) +#28040 := (+ #26944 #28016) +#28043 := (>= #28040 0::int) +#28049 := (iff #28043 #28048) +#28050 := [rewrite]: #28049 +#28044 := (iff #28036 #28043) +#28041 := (= #28035 #28040) +#28042 := [rewrite]: #28041 +#28045 := [monotonicity #28042]: #28044 +#28052 := [trans #28045 #28050]: #28051 +#28107 := [monotonicity #28052 #28104]: #28106 +#28112 := [trans #28107 #28110]: #28111 +#28118 := [monotonicity #28112]: #28117 +#28122 := [trans #28118 #28120]: #28121 +#28115 := [quant-inst]: #28114 +#28123 := [mp #28115 #28122]: #28113 +#28233 := [unit-resolution #28123 #21366 #14064 #28231 #28230]: #28232 +#28234 := [unit-resolution #28233 #28224 #28209]: #28038 +#28235 := [th-lemma #28234 #28186 #28179]: false +#28237 := [lemma #28235]: #28236 +#29435 := [unit-resolution #28237 #29377 #28636 #29434]: #12296 +#29885 := (or #29175 #18241 #29169) +#29886 := [def-axiom]: #29885 +#30576 := [unit-resolution #29886 #29435 #30575]: #29175 +#29751 := (or #29750 #12302 #29172) +#29749 := [def-axiom]: #29751 +#30581 := [unit-resolution #29749 #30576]: #30580 +#30582 := [unit-resolution #30581 #29980]: #12302 +#30590 := (or #18247 #23106) +#24294 := (or #23127 #23121) +#24295 := [def-axiom]: #24294 +#30583 := [unit-resolution #24295 #29376]: #23121 +#30584 := (or #23124 #18241 #23118) +#24286 := (or #23124 #18238 #18241 #23118) +#24287 := [def-axiom]: #24286 +#30585 := [unit-resolution #24287 #28272]: #30584 +#30586 := [unit-resolution #30585 #29435 #30583]: #23118 +#24276 := (or #23115 #23109) +#24277 := [def-axiom]: #24276 +#30587 := [unit-resolution #24277 #30586]: #23109 +#30588 := (or #23112 #18247 #23106) +#24270 := (or #23112 #18238 #18247 #23106) +#24271 := [def-axiom]: #24270 +#30589 := [unit-resolution #24271 #28272]: #30588 +#30591 := [unit-resolution #30589 #30587]: #30590 +#30592 := [unit-resolution #30591 #30582]: #23106 +#30593 := (or #23103 #23064) +#24118 := (not #18612) +#30252 := (= #3083 #3220) +#30250 := (= #3220 #3083) +#30246 := (= #3219 #3082) +#30243 := [hypothesis]: #23094 +#24232 := (or #23091 #12551) +#24233 := [def-axiom]: #24232 +#30244 := [unit-resolution #24233 #30243]: #12551 +#30245 := [symm #30244]: #3250 +#30247 := [monotonicity #30245]: #30246 +#30251 := [monotonicity #30247]: #30250 +#30253 := [symm #30251]: #30252 +#30254 := (= uf_304 #3083) +#24230 := (or #23091 #12548) +#24231 := [def-axiom]: #24230 +#30248 := [unit-resolution #24231 #30243]: #12548 +#30249 := [symm #30248]: #3249 +#30255 := [trans #30249 #29340]: #30254 +#30256 := [trans #30255 #30253]: #12352 +#24227 := (+ uf_297 #13301) +#24229 := (>= #24227 0::int) +#30257 := (or #12557 #24229) +#30258 := [th-lemma]: #30257 +#30209 := [unit-resolution #30258 #30244]: #24229 +#29871 := (not #24229) +#29872 := (or #13304 #29871) +#29900 := [hypothesis]: #24229 +#29901 := [hypothesis]: #13303 +#29870 := [th-lemma #29901 #29900 #29342]: false +#29873 := [lemma #29870]: #29872 +#30213 := [unit-resolution #29873 #30209]: #13304 +#24106 := (or #22046 #22044 #13303) +#24107 := [def-axiom]: #24106 +#30214 := [unit-resolution #24107 #30213 #30256]: #22046 +#24108 := (or #23025 #22045) +#24109 := [def-axiom]: #24108 +#30210 := [unit-resolution #24109 #30214]: #23025 +#24242 := (or #23091 #23055) +#24243 := [def-axiom]: #24242 +#30215 := [unit-resolution #24243 #30243]: #23055 +#30219 := (or #23058 #23052) +#15520 := (<= uf_286 4294967295::int) +#15523 := (iff #13150 #15520) +#15514 := (+ 4294967295::int #13151) +#15517 := (>= #15514 0::int) +#15521 := (iff #15517 #15520) +#15522 := [rewrite]: #15521 +#15518 := (iff #13150 #15517) +#15515 := (= #13152 #15514) +#15516 := [monotonicity #7483]: #15515 +#15519 := [monotonicity #15516]: #15518 +#15524 := [trans #15519 #15522]: #15523 +#14066 := [not-or-elim #14055]: #13155 +#14068 := [and-elim #14066]: #13150 +#15525 := [mp #14068 #15524]: #15520 +#29378 := [hypothesis]: #18279 +#29379 := [th-lemma #29378 #29377 #15525]: false +#29380 := [lemma #29379]: #15609 +#30216 := (or #13365 #13243) +#30217 := [th-lemma]: #30216 +#30218 := [unit-resolution #30217 #29434]: #13243 +#24166 := (or #23058 #18276 #18279 #23052) +#24167 := [def-axiom]: #24166 +#30220 := [unit-resolution #24167 #30218 #29380]: #30219 +#30221 := [unit-resolution #30220 #30215]: #23052 +#24156 := (or #23049 #23043) +#24157 := [def-axiom]: #24156 +#30223 := [unit-resolution #24157 #30221]: #23043 +#24101 := (>= #13328 -1::int) +#24152 := (or #23049 #13327) +#24153 := [def-axiom]: #24152 +#30224 := [unit-resolution #24153 #30221]: #13327 +#30222 := (or #13331 #24101) +#30225 := [th-lemma]: #30222 +#30226 := [unit-resolution #30225 #30224]: #24101 +#29915 := (not #24101) +#29916 := (or #13259 #29915) +#29874 := [hypothesis]: #24101 +#29875 := [hypothesis]: #13264 +#29909 := [th-lemma #29875 #29377 #29874]: false +#29917 := [lemma #29909]: #29916 +#30227 := [unit-resolution #29917 #30226]: #13259 +#24142 := (or #23046 #13264 #23040) +#24143 := [def-axiom]: #24142 +#30228 := [unit-resolution #24143 #30227 #30223]: #23040 +#24134 := (or #23037 #23031) +#24135 := [def-axiom]: #24134 +#30229 := [unit-resolution #24135 #30228]: #23031 +#24130 := (or #23034 #23028 #22098) +#24131 := [def-axiom]: #24130 +#30230 := [unit-resolution #24131 #30229 #30210]: #22098 +#24119 := (or #22093 #24118) +#24120 := [def-axiom]: #24119 +#30271 := [unit-resolution #24120 #30230]: #24118 +#30015 := (+ uf_298 #18610) +#30242 := (>= #30015 0::int) +#30270 := (not #30242) +#30496 := (= uf_298 ?x785!14) +#30527 := (not #30496) +#24240 := (or #23091 #13417) +#24241 := [def-axiom]: #24240 +#30232 := [unit-resolution #24241 #30243]: #13417 +#24224 := (+ uf_296 #13279) +#24225 := (<= #24224 0::int) +#30234 := (or #12566 #24225) +#30235 := [th-lemma]: #30234 +#30233 := [unit-resolution #30235 #30248]: #24225 +#24121 := (not #18625) +#24122 := (or #22093 #24121) +#24123 := [def-axiom]: #24122 +#30236 := [unit-resolution #24123 #30230]: #24121 +#30514 := (not #24225) +#30515 := (or #30513 #18625 #30514 #13416) +#30508 := [hypothesis]: #13417 +#30509 := [hypothesis]: #24225 +#30510 := [hypothesis]: #24121 +#30511 := [hypothesis]: #30503 +#30512 := [th-lemma #30511 #30510 #30509 #30508]: false +#30516 := [lemma #30512]: #30515 +#30237 := [unit-resolution #30516 #30236 #30233 #30232]: #30513 +#30504 := (or #30502 #30503) +#30505 := [th-lemma]: #30504 +#30238 := [unit-resolution #30505 #30237]: #30502 +#30528 := (or #30527 #30497) +#30523 := (= #18302 #3190) +#30521 := (= #18301 #3181) +#30519 := (= ?x785!14 uf_298) +#30518 := [hypothesis]: #30496 +#30520 := [symm #30518]: #30519 +#30522 := [monotonicity #30520]: #30521 +#30524 := [monotonicity #30522]: #30523 +#30525 := [symm #30524]: #30497 +#30517 := [hypothesis]: #30502 +#30526 := [unit-resolution #30517 #30525]: false +#30529 := [lemma #30526]: #30528 +#30239 := [unit-resolution #30529 #30238]: #30527 +#30274 := (or #30496 #30270) +#30013 := (<= #30015 0::int) +#30051 := (+ uf_296 #18623) +#30052 := (>= #30051 0::int) +#30240 := (not #30052) +#30241 := (or #30240 #18625 #30514) +#30283 := [th-lemma]: #30241 +#30284 := [unit-resolution #30283 #30233 #30236]: #30240 +#30286 := (or #30013 #30052) +#24116 := (or #22093 #18298) +#24117 := [def-axiom]: #24116 +#30285 := [unit-resolution #24117 #30230]: #18298 +#24114 := (or #22093 #18297) +#24115 := [def-axiom]: #24114 +#30280 := [unit-resolution #24115 #30230]: #18297 +#30068 := (or #23014 #22077 #22078 #30013 #30052) +#29997 := (+ #18302 #13715) +#29992 := (<= #29997 0::int) +#29998 := (+ ?x785!14 #13246) +#29999 := (>= #29998 0::int) +#30001 := (or #22078 #29999 #29992 #22077) +#30069 := (or #23014 #30001) +#30076 := (iff #30069 #30068) +#30063 := (or #22077 #22078 #30013 #30052) +#30071 := (or #23014 #30063) +#30074 := (iff #30071 #30068) +#30075 := [rewrite]: #30074 +#30072 := (iff #30069 #30071) +#30066 := (iff #30001 #30063) +#30060 := (or #22078 #30013 #30052 #22077) +#30064 := (iff #30060 #30063) +#30065 := [rewrite]: #30064 +#30061 := (iff #30001 #30060) +#30058 := (iff #29992 #30052) +#30046 := (+ #13715 #18302) +#30048 := (<= #30046 0::int) +#30056 := (iff #30048 #30052) #30057 := [rewrite]: #30056 -#30054 := (iff #30051 #30053) -#29177 := (iff #29146 #29174) -#29171 := (or #21511 #29154 #29166 #21510) -#29175 := (iff #29171 #29174) -#29176 := [rewrite]: #29175 -#29172 := (iff #29146 #29171) -#29169 := (iff #29143 #29166) -#29159 := (+ #13378 #17765) -#29162 := (<= #29159 0::int) -#29167 := (iff #29162 #29166) -#29168 := [rewrite]: #29167 -#29163 := (iff #29143 #29162) -#29160 := (= #29142 #29159) -#29161 := [rewrite]: #29160 -#29164 := [monotonicity #29161]: #29163 -#29170 := [trans #29164 #29168]: #29169 -#29157 := (iff #29145 #29154) -#29147 := (+ #12965 ?x785!14) -#29150 := (>= #29147 0::int) -#29155 := (iff #29150 #29154) -#29156 := [rewrite]: #29155 -#29151 := (iff #29145 #29150) -#29148 := (= #29144 #29147) -#29149 := [rewrite]: #29148 -#29152 := [monotonicity #29149]: #29151 -#29158 := [trans #29152 #29156]: #29157 -#29173 := [monotonicity #29158 #29170]: #29172 -#29178 := [trans #29173 #29176]: #29177 -#30055 := [monotonicity #29178]: #30054 -#30059 := [trans #30055 #30057]: #30058 -#30052 := [quant-inst]: #30051 -#30060 := [mp #30052 #30059]: #30050 -#30193 := [unit-resolution #30060 #28540 #30192 #30191 #30189]: #29154 -#30210 := (not #29154) -#30211 := (or #30181 #30210 #30208) -#30212 := [th-lemma]: #30211 -#30214 := [unit-resolution #30212 #30193]: #30213 -#30215 := [unit-resolution #30214 #30186]: #30208 -#30216 := [th-lemma #30130 #30215 #30178]: false -#30219 := [lemma #30216]: #22559 -#30241 := [unit-resolution #29859 #30219]: #30232 -#30236 := [unit-resolution #30241 #30229]: #22532 -#23646 := (or #22529 #12383) -#23647 := [def-axiom]: #23646 -#30293 := [unit-resolution #23647 #30236]: #12383 -#28986 := [symm #30293]: #3242 -#29080 := [trans #28986 #28873]: #28951 -#29269 := [trans #29080 #29458]: #29074 -#29334 := [monotonicity #30279 #29269 #27654]: #29208 -#29357 := [trans #29334 #29712]: #29112 -#29125 := [monotonicity #29357]: #28979 -#28987 := [symm #29125]: #28730 -#29079 := (= uf_304 #3230) -#23642 := (or #22529 #12375) -#23643 := [def-axiom]: #23642 -#28983 := [unit-resolution #23643 #30236]: #12375 -#29211 := [symm #28983]: #3235 -#23644 := (or #22529 #12380) -#23645 := [def-axiom]: #23644 -#29034 := [unit-resolution #23645 #30236]: #12380 -#28946 := [symm #29034]: #3240 -#28982 := [trans #28946 #29211]: #29079 -#29212 := [trans #28982 #28987]: #12446 -#28731 := [hypothesis]: #21466 -#29304 := [unit-resolution #28731 #29212]: false -#28976 := [lemma #29304]: #12446 -#30304 := (or #21466 #21468) -#28528 := (+ uf_298 #13126) -#28529 := (>= #28528 0::int) -#30294 := (or #21574 #28529) -#30295 := [th-lemma]: #30294 -#30296 := [unit-resolution #30295 #30293]: #28529 -#30297 := [hypothesis]: #21467 -#30298 := [hypothesis]: #12446 -#30299 := [unit-resolution #23574 #30298 #30297]: #13128 -#30300 := (not #28529) -#30301 := (or #13129 #12967 #30300) -#30302 := [th-lemma]: #30301 -#30303 := [unit-resolution #30302 #30299 #30296 #28538]: false -#30305 := [lemma #30303]: #30304 -#29076 := [unit-resolution #30305 #28976]: #21468 -#29124 := [unit-resolution #23576 #29076]: #22493 -#28962 := [unit-resolution #23597 #30135]: #22499 -#29358 := [unit-resolution #28962 #29124]: #21531 -#23692 := (>= #23690 0::int) -#30027 := (not #23692) -#29111 := [unit-resolution #23727 #30229]: #22565 -#29289 := (or #22568 #22556) -#29333 := [unit-resolution #23717 #30219]: #29289 -#29311 := [unit-resolution #29333 #29111]: #22556 -#23684 := (or #22553 #12996) -#23685 := [def-axiom]: #23684 -#29113 := [unit-resolution #23685 #29311]: #12996 -#29780 := (+ #3230 #13112) -#29809 := (<= #29780 0::int) -#29719 := (= #3230 uf_304) -#29564 := (or #22529 #29719) -#29576 := [hypothesis]: #22532 -#29720 := [unit-resolution #23645 #29576]: #12380 -#29761 := [unit-resolution #23643 #29576]: #12375 -#29723 := [trans #29761 #29720]: #29719 -#30001 := (not #29719) -#29829 := [hypothesis]: #30001 -#29786 := [unit-resolution #29829 #29723]: false -#29787 := [lemma #29786]: #29564 -#30237 := [unit-resolution #29787 #30236]: #29719 -#30002 := (or #30001 #29809) -#30003 := [th-lemma]: #30002 -#30238 := [unit-resolution #30003 #30237]: #29809 -#30026 := (not #29809) -#30028 := (or #30026 #30027 #12997) -#30023 := [hypothesis]: #29809 -#30024 := [hypothesis]: #12996 -#30025 := [hypothesis]: #23692 -#30020 := [th-lemma #30025 #30024 #30023]: false -#30029 := [lemma #30020]: #30028 -#29339 := [unit-resolution #30029 #30238 #29113]: #30027 -#29268 := (or #23692 #23691) -#29308 := [th-lemma]: #29268 -#29306 := [unit-resolution #29308 #29339]: #23691 -#29309 := [unit-resolution #23587 #29358]: #23585 -#29290 := [unit-resolution #30207 #29309 #29306]: #30187 -#30126 := (or #21526 #29166 #30181) -#30089 := [hypothesis]: #30288 -#30114 := [hypothesis]: #21531 -#30115 := [unit-resolution #23589 #30114]: #18027 -#30110 := (or #30137 #18022 #29095) -#30116 := [th-lemma]: #30110 -#30117 := [unit-resolution #30116 #30115 #30130]: #30137 -#30113 := [unit-resolution #30212 #30117 #30089]: #30210 -#30118 := [hypothesis]: #30187 -#30119 := [unit-resolution #23584 #30114]: #17761 -#30120 := [unit-resolution #23582 #30114]: #17757 -#30125 := [unit-resolution #30060 #28540 #30120 #30119 #30118 #30113]: false -#30076 := [lemma #30125]: #30126 -#29305 := [unit-resolution #30076 #29290 #29358]: #30181 -#30233 := (or #30263 #18009) -#30239 := [th-lemma #30261 #30260 #30238]: false -#30234 := [lemma #30239]: #30233 -#28425 := [unit-resolution #30234 #29309]: #30263 -#29077 := [unit-resolution #30267 #28425]: #30256 -[unit-resolution #30290 #29077 #29305]: false +#30049 := (iff #29992 #30048) +#30047 := (= #29997 #30046) +#30042 := [rewrite]: #30047 +#30050 := [monotonicity #30042]: #30049 +#30059 := [trans #30050 #30057]: #30058 +#30030 := (iff #29999 #30013) +#30002 := (+ #13246 ?x785!14) +#30012 := (>= #30002 0::int) +#30016 := (iff #30012 #30013) +#30017 := [rewrite]: #30016 +#30000 := (iff #29999 #30012) +#30007 := (= #29998 #30002) +#30008 := [rewrite]: #30007 +#30014 := [monotonicity #30008]: #30000 +#30031 := [trans #30014 #30017]: #30030 +#30062 := [monotonicity #30031 #30059]: #30061 +#30067 := [trans #30062 #30065]: #30066 +#30073 := [monotonicity #30067]: #30072 +#30077 := [trans #30073 #30075]: #30076 +#30070 := [quant-inst]: #30069 +#30078 := [mp #30070 #30077]: #30068 +#30287 := [unit-resolution #30078 #29339 #30280 #30285]: #30286 +#30288 := [unit-resolution #30287 #30284]: #30013 +#30289 := (not #30013) +#30299 := (or #30496 #30289 #30270) +#30273 := [th-lemma]: #30299 +#30269 := [unit-resolution #30273 #30288]: #30274 +#30275 := [unit-resolution #30269 #30239]: #30270 +#30276 := [th-lemma #30275 #30226 #30271]: false +#30272 := [lemma #30276]: #23091 +#29441 := (or #23103 #23094 #23064) +#29421 := [hypothesis]: #23061 +#29422 := [hypothesis]: #23106 +#24254 := (or #23103 #12302) +#24255 := [def-axiom]: #24254 +#29425 := [unit-resolution #24255 #29422]: #12302 +#29426 := (or #23070 #18247 #23064) +#24196 := (or #23070 #18238 #18247 #23064) +#24197 := [def-axiom]: #24196 +#29427 := [unit-resolution #24197 #28272]: #29426 +#29428 := [unit-resolution #29427 #29425 #29421]: #23070 +#24202 := (or #23073 #23067) +#24203 := [def-axiom]: #24202 +#29429 := [unit-resolution #24203 #29428]: #23073 +#29430 := [hypothesis]: #23091 +#24260 := (or #23103 #23097) +#24261 := [def-axiom]: #24260 +#29431 := [unit-resolution #24261 #29422]: #23097 +#24250 := (or #23100 #23088 #23094) +#24251 := [def-axiom]: #24250 +#29432 := [unit-resolution #24251 #29431 #29430]: #23088 +#24220 := (or #23085 #23079) +#24221 := [def-axiom]: #24220 +#29433 := [unit-resolution #24221 #29432]: #23079 +#29438 := (or #23082 #23076) +#29436 := (or #23082 #18241 #23076) +#24212 := (or #23082 #18238 #18241 #23076) +#24213 := [def-axiom]: #24212 +#29437 := [unit-resolution #24213 #28272]: #29436 +#29439 := [unit-resolution #29437 #29435]: #29438 +#29440 := [unit-resolution #29439 #29433 #29429]: false +#29442 := [lemma #29440]: #29441 +#30594 := [unit-resolution #29442 #30272]: #30593 +#30595 := [unit-resolution #30594 #30592]: #23064 +#24178 := (or #23061 #12313) +#24179 := [def-axiom]: #24178 +#30596 := [unit-resolution #24179 #30595]: #12313 +#24176 := (or #23061 #12308) +#24177 := [def-axiom]: #24176 +#30597 := [unit-resolution #24177 #30595]: #12308 +#30598 := [trans #30597 #30596]: #30154 +#30599 := (not #30154) +#30600 := (or #30599 #30108) +#30601 := [th-lemma]: #30600 +#30602 := [unit-resolution #30601 #30598]: #30108 +#24186 := (or #23061 #23055) +#24187 := [def-axiom]: #24186 +#30603 := [unit-resolution #24187 #30595]: #23055 +#30604 := [unit-resolution #30220 #30603]: #23052 +#30605 := [unit-resolution #24157 #30604]: #23043 +#30606 := [unit-resolution #24153 #30604]: #13327 +#30607 := [unit-resolution #30225 #30606]: #24101 +#30608 := [unit-resolution #29917 #30607]: #13259 +#30609 := [unit-resolution #24143 #30608 #30605]: #23040 +#30610 := [unit-resolution #24135 #30609]: #23031 +#30619 := (= #3190 #3220) +#30615 := (= #3220 #3190) +#30613 := (= #3219 #3181) +#24180 := (or #23061 #12316) +#24181 := [def-axiom]: #24180 +#30611 := [unit-resolution #24181 #30595]: #12316 +#30612 := [symm #30611]: #3200 +#30614 := [monotonicity #30612]: #30613 +#30616 := [monotonicity #30614]: #30615 +#30620 := [symm #30616]: #30619 +#30621 := (= uf_304 #3190) +#30618 := [symm #30597]: #3193 +#30617 := [symm #30596]: #3198 +#30622 := [trans #30617 #30618]: #30621 +#30623 := [trans #30622 #30620]: #12352 +#29903 := (+ uf_298 #13301) +#29849 := (>= #29903 0::int) +#30624 := (or #12440 #29849) +#30625 := [th-lemma]: #30624 +#30626 := [unit-resolution #30625 #30611]: #29849 +#30627 := (not #29849) +#30628 := (or #13304 #30627 #13510) +#30629 := [th-lemma]: #30628 +#30630 := [unit-resolution #30629 #29377 #30626]: #13304 +#30631 := [unit-resolution #24107 #30630 #30623]: #22046 +#30632 := [unit-resolution #24109 #30631]: #23025 +#30633 := [unit-resolution #24131 #30632 #30610]: #22098 +#30634 := [unit-resolution #24123 #30633]: #24121 +#30635 := (not #30108) +#30636 := (or #30513 #18625 #30635) +#30637 := [th-lemma]: #30636 +#30638 := [unit-resolution #30637 #30634 #30602]: #30513 +#30639 := [unit-resolution #30505 #30638]: #30502 +#30640 := [unit-resolution #24120 #30633]: #24118 +#30641 := (or #30242 #18612 #29915) +#30642 := [th-lemma]: #30641 +#30643 := [unit-resolution #30642 #30640 #30607]: #30242 +#30644 := [unit-resolution #24261 #30592]: #23097 +#30645 := (or #23100 #23088) +#30646 := [unit-resolution #24251 #30272]: #30645 +#30647 := [unit-resolution #30646 #30644]: #23088 +#24218 := (or #23085 #13416) +#24219 := [def-axiom]: #24218 +#30648 := [unit-resolution #24219 #30647]: #13416 +#30649 := (or #24225 #30635 #13417) +#30650 := [th-lemma]: #30649 +#30651 := [unit-resolution #30650 #30648 #30602]: #24225 +#30652 := [unit-resolution #30283 #30634 #30651]: #30240 +#30653 := [unit-resolution #24117 #30633]: #18298 +#30654 := [unit-resolution #24115 #30633]: #18297 +#30655 := [unit-resolution #30078 #29339 #30654 #30653 #30652]: #30013 +#30656 := [unit-resolution #30273 #30655 #30643]: #30496 +[unit-resolution #30529 #30656 #30639]: false unsat