src/HOL/SMT_Examples/SMT_Examples_Verit.certs

--- a/src/HOL/SMT_Examples/SMT_Examples_Verit.certs	Fri Mar 11 09:22:13 2022 +0100
+++ b/src/HOL/SMT_Examples/SMT_Examples_Verit.certs	Fri Mar 11 09:23:05 2022 +0100
@@ -1,16 +1,16 @@
-95a654bfff554e647800fe77ff2ba30347402e24 9 0
+ae54fcb9dfe8ac3652092131f8427bebbd05402c 9 0
 unsat
-(assume a0 (! (not true) :named @p_1))
+(assume axiom0 (! (not true) :named @p_1))
 (step t2 (cl (! (= @p_1 false) :named @p_2)) :rule not_simplify)
 (step t3 (cl (! (not @p_2) :named @p_4) (! (not @p_1) :named @p_3) false) :rule equiv_pos2)
 (step t4 (cl (not @p_3) true) :rule not_not)
 (step t5 (cl @p_4 true false) :rule th_resolution :premises (t4 t3))
-(step t6 (cl false) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl false) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl (not false)) :rule false)
 (step t8 (cl) :rule resolution :premises (t6 t7))
-064ce4a7bbfaa11e79501270fc838c420c703181 12 0
+ef08efbe2a4fd690de84a4f2f024c061b9c72554 12 0
 unsat
-(assume a0 (! (not (! (or p$ (not p$)) :named @p_1)) :named @p_2))
+(assume axiom0 (! (not (! (or p$ (not p$)) :named @p_1)) :named @p_2))
 (step t2 (cl (= @p_1 true)) :rule or_simplify)
 (step t3 (cl (= @p_2 (! (not true) :named @p_3))) :rule cong :premises (t2))
 (step t4 (cl (= @p_3 false)) :rule not_simplify)
@@ -18,12 +18,12 @@
 (step t6 (cl (! (not @p_4) :named @p_6) (! (not @p_2) :named @p_5) false) :rule equiv_pos2)
 (step t7 (cl (not @p_5) @p_1) :rule not_not)
 (step t8 (cl @p_6 @p_1 false) :rule th_resolution :premises (t7 t6))
-(step t9 (cl false) :rule th_resolution :premises (a0 t5 t8))
+(step t9 (cl false) :rule th_resolution :premises (axiom0 t5 t8))
 (step t10 (cl (not false)) :rule false)
 (step t11 (cl) :rule resolution :premises (t9 t10))
-d4888d8ad473d347e6ab6d509244a7583a7babd4 17 0
+b753d4b1e8a27c132b8339803a4e586242a9eed9 17 0
 unsat
-(assume a0 (! (not (! (= (! (and p$ true) :named @p_1) p$) :named @p_3)) :named @p_5))
+(assume axiom0 (! (not (! (= (! (and p$ true) :named @p_1) p$) :named @p_3)) :named @p_5))
 (step t2 (cl (= @p_1 (! (and p$) :named @p_2))) :rule and_simplify)
 (step t3 (cl (= @p_2 p$)) :rule and_simplify)
 (step t4 (cl @p_3) :rule trans :premises (t2 t3))
@@ -36,17 +36,17 @@
 (step t11 (cl (! (not @p_7) :named @p_9) (! (not @p_5) :named @p_8) false) :rule equiv_pos2)
 (step t12 (cl (not @p_8) @p_3) :rule not_not)
 (step t13 (cl @p_9 @p_3 false) :rule th_resolution :premises (t12 t11))
-(step t14 (cl false) :rule th_resolution :premises (a0 t10 t13))
+(step t14 (cl false) :rule th_resolution :premises (axiom0 t10 t13))
 (step t15 (cl (not false)) :rule false)
 (step t16 (cl) :rule resolution :premises (t14 t15))
-337e2bffaa7ce02e1ab772f593ffdbb243d5e449 15 0
+3aef0472082a0952dd5c0083a53b60410a65fb15 15 0
 unsat
-(assume a0 (! (not (! (=> (! (and (! (or p$ q$) :named @p_8) (! (not p$) :named @p_9)) :named @p_2) q$) :named @p_6)) :named @p_1))
+(assume axiom0 (! (not (! (=> (! (and (! (or p$ q$) :named @p_8) (! (not p$) :named @p_9)) :named @p_2) q$) :named @p_6)) :named @p_1))
 (step t2 (cl (! (= @p_1 (! (and @p_2 (! (not q$) :named @p_10)) :named @p_4)) :named @p_3)) :rule bool_simplify)
 (step t3 (cl (! (not @p_3) :named @p_7) (! (not @p_1) :named @p_5) @p_4) :rule equiv_pos2)
 (step t4 (cl (not @p_5) @p_6) :rule not_not)
 (step t5 (cl @p_7 @p_6 @p_4) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_4) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_4) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl (! (= @p_4 (! (and @p_8 @p_9 @p_10) :named @p_12)) :named @p_11)) :rule ac_simp)
 (step t8 (cl (not @p_11) (not @p_4) @p_12) :rule equiv_pos2)
 (step t9 (cl @p_12) :rule th_resolution :premises (t6 t7 t8))
@@ -55,35 +55,35 @@
 (step t12 (cl @p_9) :rule and :premises (t9))
 (step t13 (cl @p_10) :rule and :premises (t9))
 (step t14 (cl) :rule resolution :premises (t11 t12 t13))
-10d84ea161ad298d0be18624997ac708a1f26ba1 12 0
+a4d4a57bc38d3365a195600a7f29533d2f85c08f 12 0
 unsat
-(assume a0 (! (not (! (=> (! (or (and a$ b$) (and c$ d$)) :named @p_1) @p_1) :named @p_6)) :named @p_2))
+(assume axiom0 (! (not (! (=> (! (or (and a$ b$) (and c$ d$)) :named @p_1) @p_1) :named @p_6)) :named @p_2))
 (step t2 (cl (! (= @p_2 (! (and @p_1 (not @p_1)) :named @p_4)) :named @p_3)) :rule bool_simplify)
 (step t3 (cl (! (not @p_3) :named @p_7) (! (not @p_2) :named @p_5) @p_4) :rule equiv_pos2)
 (step t4 (cl (not @p_5) @p_6) :rule not_not)
 (step t5 (cl @p_7 @p_6 @p_4) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_4) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_4) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl (! (= @p_4 false) :named @p_8)) :rule and_simplify)
 (step t8 (cl (not @p_8) (not @p_4) false) :rule equiv_pos2)
 (step t9 (cl false) :rule th_resolution :premises (t6 t7 t8))
 (step t10 (cl (not false)) :rule false)
 (step t11 (cl) :rule resolution :premises (t9 t10))
-9edc95cdafbdeeaebc87884ea4bcc53a0e812967 12 0
+f8a0f590e48624e657155c162af04ac8e33a73bd 12 0
 unsat
-(assume a0 (! (not (! (=> (! (or (and p1$ p2$) p3$) :named @p_2) (! (or (! (=> p1$ (or (and p3$ p2$) (and p1$ p3$))) :named @p_10) p1$) :named @p_3)) :named @p_7)) :named @p_1))
+(assume axiom0 (! (not (! (=> (! (or (and p1$ p2$) p3$) :named @p_2) (! (or (! (=> p1$ (or (and p3$ p2$) (and p1$ p3$))) :named @p_10) p1$) :named @p_3)) :named @p_7)) :named @p_1))
 (step t2 (cl (! (= @p_1 (! (and @p_2 (! (not @p_3) :named @p_9)) :named @p_5)) :named @p_4)) :rule bool_simplify)
 (step t3 (cl (! (not @p_4) :named @p_8) (! (not @p_1) :named @p_6) @p_5) :rule equiv_pos2)
 (step t4 (cl (not @p_6) @p_7) :rule not_not)
 (step t5 (cl @p_8 @p_7 @p_5) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_5) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_5) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl @p_9) :rule and :premises (t6))
 (step t8 (cl (not @p_10)) :rule not_or :premises (t7))
 (step t9 (cl p1$) :rule not_implies1 :premises (t8))
 (step t10 (cl (not p1$)) :rule not_or :premises (t7))
 (step t11 (cl) :rule resolution :premises (t10 t9))
-f8dcc171fd9ab79494da2e1c5e4771e075fd9d51 29 0
+2815beadf2b8b0fa1acb410b1f6d788eddf2d2da 29 0
 unsat
-(assume a0 (! (not (! (= (! (= (! (= (! (= (! (= (! (= (! (= (! (= (! (= p$ p$) :named @p_1) p$) :named @p_2) p$) :named @p_4) p$) :named @p_5) p$) :named @p_6) p$) :named @p_7) p$) :named @p_8) p$) :named @p_9) p$) :named @p_10)) :named @p_11))
+(assume axiom0 (! (not (! (= (! (= (! (= (! (= (! (= (! (= (! (= (! (= (! (= p$ p$) :named @p_1) p$) :named @p_2) p$) :named @p_4) p$) :named @p_5) p$) :named @p_6) p$) :named @p_7) p$) :named @p_8) p$) :named @p_9) p$) :named @p_10)) :named @p_11))
 (step t2 (cl (= @p_1 true)) :rule equiv_simplify)
 (step t3 (cl (= @p_2 (! (= true p$) :named @p_3))) :rule cong :premises (t2))
 (step t4 (cl (= @p_3 p$)) :rule equiv_simplify)
@@ -108,13 +108,73 @@
 (step t23 (cl (! (not @p_13) :named @p_15) (! (not @p_11) :named @p_14) false) :rule equiv_pos2)
 (step t24 (cl (not @p_14) @p_10) :rule not_not)
 (step t25 (cl @p_15 @p_10 false) :rule th_resolution :premises (t24 t23))
-(step t26 (cl false) :rule th_resolution :premises (a0 t22 t25))
+(step t26 (cl false) :rule th_resolution :premises (axiom0 t22 t25))
 (step t27 (cl (not false)) :rule false)
 (step t28 (cl) :rule resolution :premises (t26 t27))
-a331481eed4f18a666baadda4e1010ca7a295ccf 38 0
+324d7169fc854a8e46b44966c6d6829b24a059d5 59 0
 unsat
-(assume a0 (! (forall ((?v0 A$) (?v1 A$)) (! (= (! (symm_f$ ?v0 ?v1) :named @p_2) (! (symm_f$ ?v1 ?v0) :named @p_6)) :named @p_8)) :named @p_1))
-(assume a1 (! (not (! (and (! (= a$ a$) :named @p_19) (! (= (symm_f$ a$ b$) (symm_f$ b$ a$)) :named @p_21)) :named @p_20)) :named @p_24))
+(assume axiom0 (! (or a$ (or b$ (or c$ d$))) :named @p_1))
+(assume axiom2 (! (or (! (not (! (or a$ (! (and c$ (! (not c$) :named @p_40)) :named @p_4)) :named @p_5)) :named @p_8) b$) :named @p_9))
+(assume axiom3 (! (or (! (not (! (and b$ (! (or x$ (not x$)) :named @p_13)) :named @p_14)) :named @p_17) c$) :named @p_18))
+(assume axiom4 (! (or (! (not (! (or d$ false) :named @p_22)) :named @p_24) c$) :named @p_25))
+(assume axiom5 (! (not (! (or c$ (! (and (! (not p$) :named @p_34) (! (or p$ (! (and q$ (not q$)) :named @p_29)) :named @p_30)) :named @p_33)) :named @p_36)) :named @p_39))
+(step t6 (cl (! (= @p_1 (! (or a$ b$ c$ d$) :named @p_3)) :named @p_2)) :rule ac_simp)
+(step t7 (cl (not @p_2) (not @p_1) @p_3) :rule equiv_pos2)
+(step t8 (cl @p_3) :rule th_resolution :premises (axiom0 t6 t7))
+(step t9 (cl (= @p_4 false)) :rule and_simplify)
+(step t10 (cl (= @p_5 (! (or a$ false) :named @p_6))) :rule cong :premises (t9))
+(step t11 (cl (= @p_6 (! (or a$) :named @p_7))) :rule or_simplify)
+(step t12 (cl (= @p_7 a$)) :rule or_simplify)
+(step t13 (cl (= @p_5 a$)) :rule trans :premises (t10 t11 t12))
+(step t14 (cl (= @p_8 (! (not a$) :named @p_10))) :rule cong :premises (t13))
+(step t15 (cl (! (= @p_9 (! (or @p_10 b$) :named @p_12)) :named @p_11)) :rule cong :premises (t14))
+(step t16 (cl (not @p_11) (not @p_9) @p_12) :rule equiv_pos2)
+(step t17 (cl @p_12) :rule th_resolution :premises (axiom2 t15 t16))
+(step t18 (cl (= @p_13 true)) :rule or_simplify)
+(step t19 (cl (= @p_14 (! (and b$ true) :named @p_15))) :rule cong :premises (t18))
+(step t20 (cl (= @p_15 (! (and b$) :named @p_16))) :rule and_simplify)
+(step t21 (cl (= @p_16 b$)) :rule and_simplify)
+(step t22 (cl (= @p_14 b$)) :rule trans :premises (t19 t20 t21))
+(step t23 (cl (= @p_17 (! (not b$) :named @p_19))) :rule cong :premises (t22))
+(step t24 (cl (! (= @p_18 (! (or @p_19 c$) :named @p_21)) :named @p_20)) :rule cong :premises (t23))
+(step t25 (cl (not @p_20) (not @p_18) @p_21) :rule equiv_pos2)
+(step t26 (cl @p_21) :rule th_resolution :premises (axiom3 t24 t25))
+(step t27 (cl (= @p_22 (! (or d$) :named @p_23))) :rule or_simplify)
+(step t28 (cl (= @p_23 d$)) :rule or_simplify)
+(step t29 (cl (= @p_22 d$)) :rule trans :premises (t27 t28))
+(step t30 (cl (= @p_24 (! (not d$) :named @p_26))) :rule cong :premises (t29))
+(step t31 (cl (! (= @p_25 (! (or @p_26 c$) :named @p_28)) :named @p_27)) :rule cong :premises (t30))
+(step t32 (cl (not @p_27) (not @p_25) @p_28) :rule equiv_pos2)
+(step t33 (cl @p_28) :rule th_resolution :premises (axiom4 t31 t32))
+(step t34 (cl (= @p_29 false)) :rule and_simplify)
+(step t35 (cl (= @p_30 (! (or p$ false) :named @p_31))) :rule cong :premises (t34))
+(step t36 (cl (= @p_31 (! (or p$) :named @p_32))) :rule or_simplify)
+(step t37 (cl (= @p_32 p$)) :rule or_simplify)
+(step t38 (cl (= @p_30 p$)) :rule trans :premises (t35 t36 t37))
+(step t39 (cl (= @p_33 (! (and @p_34 p$) :named @p_35))) :rule cong :premises (t38))
+(step t40 (cl (= @p_35 false)) :rule and_simplify)
+(step t41 (cl (= @p_33 false)) :rule trans :premises (t39 t40))
+(step t42 (cl (= @p_36 (! (or c$ false) :named @p_37))) :rule cong :premises (t41))
+(step t43 (cl (= @p_37 (! (or c$) :named @p_38))) :rule or_simplify)
+(step t44 (cl (= @p_38 c$)) :rule or_simplify)
+(step t45 (cl (= @p_36 c$)) :rule trans :premises (t42 t43 t44))
+(step t46 (cl (! (= @p_39 @p_40) :named @p_41)) :rule cong :premises (t45))
+(step t47 (cl (! (not @p_41) :named @p_43) (! (not @p_39) :named @p_42) @p_40) :rule equiv_pos2)
+(step t48 (cl (not @p_42) @p_36) :rule not_not)
+(step t49 (cl @p_43 @p_36 @p_40) :rule th_resolution :premises (t48 t47))
+(step t50 (cl @p_40) :rule th_resolution :premises (axiom5 t46 t49))
+(step t51 (cl a$ b$ c$ d$) :rule or :premises (t8))
+(step t52 (cl @p_10 b$) :rule or :premises (t17))
+(step t53 (cl @p_19 c$) :rule or :premises (t26))
+(step t54 (cl @p_26 c$) :rule or :premises (t33))
+(step t55 (cl @p_19) :rule resolution :premises (t53 t50))
+(step t56 (cl @p_26) :rule resolution :premises (t54 t50))
+(step t57 (cl a$) :rule resolution :premises (t51 t55 t50 t56))
+(step t58 (cl) :rule resolution :premises (t52 t55 t57))
+e724b7ec8c17b26e1986911ee66a23de60e69502 38 0
+unsat
+(assume axiom0 (! (forall ((?v0 A$) (?v1 A$)) (! (= (! (symm_f$ ?v0 ?v1) :named @p_2) (! (symm_f$ ?v1 ?v0) :named @p_6)) :named @p_8)) :named @p_1))
+(assume axiom1 (! (not (! (and (! (= a$ a$) :named @p_19) (! (= (symm_f$ a$ b$) (symm_f$ b$ a$)) :named @p_21)) :named @p_20)) :named @p_24))
 (anchor :step t3 :args ((:= (?v0 A$) veriT_vr0) (:= (?v1 A$) veriT_vr1)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr0) :named @p_5)) :rule refl)
 (step t3.t2 (cl (! (= ?v1 veriT_vr1) :named @p_4)) :rule refl)
@@ -125,7 +185,7 @@
 (step t3.t7 (cl (= @p_8 (! (= @p_3 @p_7) :named @p_9))) :rule cong :premises (t3.t3 t3.t6))
 (step t3 (cl (! (= @p_1 (! (forall ((veriT_vr0 A$) (veriT_vr1 A$)) @p_9) :named @p_11)) :named @p_10)) :rule bind)
 (step t4 (cl (not @p_10) (not @p_1) @p_11) :rule equiv_pos2)
-(step t5 (cl @p_11) :rule th_resolution :premises (a0 t3 t4))
+(step t5 (cl @p_11) :rule th_resolution :premises (axiom0 t3 t4))
 (anchor :step t6 :args ((:= (veriT_vr0 A$) veriT_vr2) (:= (veriT_vr1 A$) veriT_vr3)))
 (step t6.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_14)) :rule refl)
 (step t6.t2 (cl (! (= veriT_vr1 veriT_vr3) :named @p_13)) :rule refl)
@@ -146,296 +206,171 @@
 (step t15 (cl (! (not @p_25) :named @p_28) (! (not @p_24) :named @p_27) @p_26) :rule equiv_pos2)
 (step t16 (cl (not @p_27) @p_20) :rule not_not)
 (step t17 (cl @p_28 @p_20 @p_26) :rule th_resolution :premises (t16 t15))
-(step t18 (cl @p_26) :rule th_resolution :premises (a1 t14 t17))
+(step t18 (cl @p_26) :rule th_resolution :premises (axiom1 t14 t17))
 (step t19 (cl (or (! (not @p_18) :named @p_29) @p_21)) :rule forall_inst :args ((:= veriT_vr2 a$) (:= veriT_vr3 b$)))
 (step t20 (cl @p_29 @p_21) :rule or :premises (t19))
 (step t21 (cl) :rule resolution :premises (t20 t8 t18))
-ef250e7a4e9499952e8416cff69ed029a37c7aa3 59 0
-unsat
-(assume a0 (! (or a$ (or b$ (or c$ d$))) :named @p_1))
-(assume a2 (! (or (! (not (! (or a$ (! (and c$ (! (not c$) :named @p_40)) :named @p_4)) :named @p_5)) :named @p_8) b$) :named @p_9))
-(assume a3 (! (or (! (not (! (and b$ (! (or x$ (not x$)) :named @p_13)) :named @p_14)) :named @p_17) c$) :named @p_18))
-(assume a4 (! (or (! (not (! (or d$ false) :named @p_22)) :named @p_24) c$) :named @p_25))
-(assume a5 (! (not (! (or c$ (! (and (! (not p$) :named @p_34) (! (or p$ (! (and q$ (not q$)) :named @p_29)) :named @p_30)) :named @p_33)) :named @p_36)) :named @p_39))
-(step t6 (cl (! (= @p_1 (! (or a$ b$ c$ d$) :named @p_3)) :named @p_2)) :rule ac_simp)
-(step t7 (cl (not @p_2) (not @p_1) @p_3) :rule equiv_pos2)
-(step t8 (cl @p_3) :rule th_resolution :premises (a0 t6 t7))
-(step t9 (cl (= @p_4 false)) :rule and_simplify)
-(step t10 (cl (= @p_5 (! (or a$ false) :named @p_6))) :rule cong :premises (t9))
-(step t11 (cl (= @p_6 (! (or a$) :named @p_7))) :rule or_simplify)
-(step t12 (cl (= @p_7 a$)) :rule or_simplify)
-(step t13 (cl (= @p_5 a$)) :rule trans :premises (t10 t11 t12))
-(step t14 (cl (= @p_8 (! (not a$) :named @p_10))) :rule cong :premises (t13))
-(step t15 (cl (! (= @p_9 (! (or @p_10 b$) :named @p_12)) :named @p_11)) :rule cong :premises (t14))
-(step t16 (cl (not @p_11) (not @p_9) @p_12) :rule equiv_pos2)
-(step t17 (cl @p_12) :rule th_resolution :premises (a2 t15 t16))
-(step t18 (cl (= @p_13 true)) :rule or_simplify)
-(step t19 (cl (= @p_14 (! (and b$ true) :named @p_15))) :rule cong :premises (t18))
-(step t20 (cl (= @p_15 (! (and b$) :named @p_16))) :rule and_simplify)
-(step t21 (cl (= @p_16 b$)) :rule and_simplify)
-(step t22 (cl (= @p_14 b$)) :rule trans :premises (t19 t20 t21))
-(step t23 (cl (= @p_17 (! (not b$) :named @p_19))) :rule cong :premises (t22))
-(step t24 (cl (! (= @p_18 (! (or @p_19 c$) :named @p_21)) :named @p_20)) :rule cong :premises (t23))
-(step t25 (cl (not @p_20) (not @p_18) @p_21) :rule equiv_pos2)
-(step t26 (cl @p_21) :rule th_resolution :premises (a3 t24 t25))
-(step t27 (cl (= @p_22 (! (or d$) :named @p_23))) :rule or_simplify)
-(step t28 (cl (= @p_23 d$)) :rule or_simplify)
-(step t29 (cl (= @p_22 d$)) :rule trans :premises (t27 t28))
-(step t30 (cl (= @p_24 (! (not d$) :named @p_26))) :rule cong :premises (t29))
-(step t31 (cl (! (= @p_25 (! (or @p_26 c$) :named @p_28)) :named @p_27)) :rule cong :premises (t30))
-(step t32 (cl (not @p_27) (not @p_25) @p_28) :rule equiv_pos2)
-(step t33 (cl @p_28) :rule th_resolution :premises (a4 t31 t32))
-(step t34 (cl (= @p_29 false)) :rule and_simplify)
-(step t35 (cl (= @p_30 (! (or p$ false) :named @p_31))) :rule cong :premises (t34))
-(step t36 (cl (= @p_31 (! (or p$) :named @p_32))) :rule or_simplify)
-(step t37 (cl (= @p_32 p$)) :rule or_simplify)
-(step t38 (cl (= @p_30 p$)) :rule trans :premises (t35 t36 t37))
-(step t39 (cl (= @p_33 (! (and @p_34 p$) :named @p_35))) :rule cong :premises (t38))
-(step t40 (cl (= @p_35 false)) :rule and_simplify)
-(step t41 (cl (= @p_33 false)) :rule trans :premises (t39 t40))
-(step t42 (cl (= @p_36 (! (or c$ false) :named @p_37))) :rule cong :premises (t41))
-(step t43 (cl (= @p_37 (! (or c$) :named @p_38))) :rule or_simplify)
-(step t44 (cl (= @p_38 c$)) :rule or_simplify)
-(step t45 (cl (= @p_36 c$)) :rule trans :premises (t42 t43 t44))
-(step t46 (cl (! (= @p_39 @p_40) :named @p_41)) :rule cong :premises (t45))
-(step t47 (cl (! (not @p_41) :named @p_43) (! (not @p_39) :named @p_42) @p_40) :rule equiv_pos2)
-(step t48 (cl (not @p_42) @p_36) :rule not_not)
-(step t49 (cl @p_43 @p_36 @p_40) :rule th_resolution :premises (t48 t47))
-(step t50 (cl @p_40) :rule th_resolution :premises (a5 t46 t49))
-(step t51 (cl a$ b$ c$ d$) :rule or :premises (t8))
-(step t52 (cl @p_10 b$) :rule or :premises (t17))
-(step t53 (cl @p_19 c$) :rule or :premises (t26))
-(step t54 (cl @p_26 c$) :rule or :premises (t33))
-(step t55 (cl @p_19) :rule resolution :premises (t53 t50))
-(step t56 (cl @p_26) :rule resolution :premises (t54 t50))
-(step t57 (cl a$) :rule resolution :premises (t51 t55 t50 t56))
-(step t58 (cl) :rule resolution :premises (t52 t55 t57))
-a73b15b00e6e103b31fc48e963d878be9038a417 64 0
+2b0e7825d38340699ae4fceb3006d5eb0b5a0628 333 0
 unsat
-(define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (! (=> (! (p$ veriT_vr2) :named @p_20) (! (forall ((veriT_vr3 Int)) (! (or @p_20 (! (p$ veriT_vr3) :named @p_24)) :named @p_25)) :named @p_21)) :named @p_26))) :named @p_33))
-(define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (or (p$ @p_33) @p_24))) :named @p_37))
-(assume a0 (! (not (! (forall ((?v0 Int)) (! (=> (! (p$ ?v0) :named @p_1) (! (forall ((?v1 Int)) (! (or @p_1 (! (p$ ?v1) :named @p_8)) :named @p_10)) :named @p_4)) :named @p_12)) :named @p_2)) :named @p_14))
-(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0)))
-(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_6)) :rule refl)
-(step t2.t2 (cl (! (= @p_1 (! (p$ veriT_vr0) :named @p_3)) :named @p_7)) :rule cong :premises (t2.t1))
-(anchor :step t2.t3 :args ((:= (?v1 Int) veriT_vr1)))
-(step t2.t3.t1 (cl @p_6) :rule refl)
-(step t2.t3.t2 (cl @p_7) :rule cong :premises (t2.t3.t1))
-(step t2.t3.t3 (cl (= ?v1 veriT_vr1)) :rule refl)
-(step t2.t3.t4 (cl (= @p_8 (! (p$ veriT_vr1) :named @p_9))) :rule cong :premises (t2.t3.t3))
-(step t2.t3.t5 (cl (= @p_10 (! (or @p_3 @p_9) :named @p_11))) :rule cong :premises (t2.t3.t2 t2.t3.t4))
-(step t2.t3 (cl (= @p_4 (! (forall ((veriT_vr1 Int)) @p_11) :named @p_5))) :rule bind)
-(step t2.t4 (cl (= @p_12 (! (=> @p_3 @p_5) :named @p_13))) :rule cong :premises (t2.t2 t2.t3))
-(step t2 (cl (= @p_2 (! (forall ((veriT_vr0 Int)) @p_13) :named @p_15))) :rule bind)
-(step t3 (cl (! (= @p_14 (! (not @p_15) :named @p_17)) :named @p_16)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_16) :named @p_19) (! (not @p_14) :named @p_18) @p_17) :rule equiv_pos2)
-(step t5 (cl (not @p_18) @p_2) :rule not_not)
-(step t6 (cl @p_19 @p_2 @p_17) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_17) :rule th_resolution :premises (a0 t3 t6))
-(anchor :step t8 :args ((:= (veriT_vr0 Int) veriT_vr2)))
-(step t8.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_22)) :rule refl)
-(step t8.t2 (cl (! (= @p_3 @p_20) :named @p_23)) :rule cong :premises (t8.t1))
-(anchor :step t8.t3 :args ((:= (veriT_vr1 Int) veriT_vr3)))
-(step t8.t3.t1 (cl @p_22) :rule refl)
-(step t8.t3.t2 (cl @p_23) :rule cong :premises (t8.t3.t1))
-(step t8.t3.t3 (cl (= veriT_vr1 veriT_vr3)) :rule refl)
-(step t8.t3.t4 (cl (= @p_9 @p_24)) :rule cong :premises (t8.t3.t3))
-(step t8.t3.t5 (cl (= @p_11 @p_25)) :rule cong :premises (t8.t3.t2 t8.t3.t4))
-(step t8.t3 (cl (= @p_5 @p_21)) :rule bind)
-(step t8.t4 (cl (= @p_13 @p_26)) :rule cong :premises (t8.t2 t8.t3))
-(step t8 (cl (= @p_15 (! (forall ((veriT_vr2 Int)) @p_26) :named @p_27))) :rule bind)
-(step t9 (cl (! (= @p_17 (! (not @p_27) :named @p_29)) :named @p_28)) :rule cong :premises (t8))
-(step t10 (cl (! (not @p_28) :named @p_31) (! (not @p_17) :named @p_30) @p_29) :rule equiv_pos2)
-(step t11 (cl (not @p_30) @p_15) :rule not_not)
-(step t12 (cl @p_31 @p_15 @p_29) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_29) :rule th_resolution :premises (t7 t9 t12))
-(anchor :step t14 :args ((:= (veriT_vr2 Int) veriT_sk0)))
-(step t14.t1 (cl (! (= veriT_vr2 veriT_sk0) :named @p_35)) :rule refl)
-(step t14.t2 (cl (! (= @p_20 (! (p$ veriT_sk0) :named @p_32)) :named @p_36)) :rule cong :premises (t14.t1))
-(anchor :step t14.t3 :args ((:= (veriT_vr3 Int) veriT_sk1)))
-(step t14.t3.t1 (cl @p_35) :rule refl)
-(step t14.t3.t2 (cl @p_36) :rule cong :premises (t14.t3.t1))
-(step t14.t3.t3 (cl (= veriT_vr3 veriT_sk1)) :rule refl)
-(step t14.t3.t4 (cl (= @p_24 (! (p$ veriT_sk1) :named @p_38))) :rule cong :premises (t14.t3.t3))
-(step t14.t3.t5 (cl (= @p_25 (! (or @p_32 @p_38) :named @p_34))) :rule cong :premises (t14.t3.t2 t14.t3.t4))
-(step t14.t3 (cl (= @p_21 @p_34)) :rule sko_forall)
-(step t14.t4 (cl (= @p_26 (! (=> @p_32 @p_34) :named @p_39))) :rule cong :premises (t14.t2 t14.t3))
-(step t14 (cl (= @p_27 @p_39)) :rule sko_forall)
-(step t15 (cl (! (= @p_29 (! (not @p_39) :named @p_41)) :named @p_40)) :rule cong :premises (t14))
-(step t16 (cl (! (not @p_40) :named @p_43) (! (not @p_29) :named @p_42) @p_41) :rule equiv_pos2)
-(step t17 (cl (not @p_42) @p_27) :rule not_not)
-(step t18 (cl @p_43 @p_27 @p_41) :rule th_resolution :premises (t17 t16))
-(step t19 (cl @p_41) :rule th_resolution :premises (t13 t15 t18))
-(step t20 (cl (! (= @p_41 (! (and @p_32 (! (not @p_34) :named @p_48)) :named @p_45)) :named @p_44)) :rule bool_simplify)
-(step t21 (cl (! (not @p_44) :named @p_47) (! (not @p_41) :named @p_46) @p_45) :rule equiv_pos2)
-(step t22 (cl (not @p_46) @p_39) :rule not_not)
-(step t23 (cl @p_47 @p_39 @p_45) :rule th_resolution :premises (t22 t21))
-(step t24 (cl @p_45) :rule th_resolution :premises (t19 t20 t23))
-(step t25 (cl @p_32) :rule and :premises (t24))
-(step t26 (cl @p_48) :rule and :premises (t24))
-(step t27 (cl (not @p_32)) :rule not_or :premises (t26))
-(step t28 (cl) :rule resolution :premises (t27 t25))
-a5b152c08be1e0a4da353f094af8f11f36a16f52 333 0
-unsat
-(assume a0 (not x0$))
-(assume a1 (not x30$))
-(assume a2 (not x29$))
-(assume a3 (not x59$))
-(assume a4 (! (or x1$ (or x31$ x0$)) :named @p_57))
-(assume a6 (! (or x3$ (or x33$ x2$)) :named @p_60))
-(assume a7 (! (or x4$ (or x34$ x3$)) :named @p_63))
-(assume a8 (or x35$ x4$))
-(assume a9 (! (or x5$ (or x36$ x30$)) :named @p_66))
-(assume a11 (! (or x7$ (or x38$ (or x6$ x32$))) :named @p_69))
-(assume a13 (! (or x9$ (or x40$ (or x8$ x34$))) :named @p_72))
-(assume a16 (! (or x11$ (or x43$ (or x10$ x37$))) :named @p_75))
-(assume a18 (! (or x13$ (or x45$ (or x12$ x39$))) :named @p_78))
-(assume a20 (! (or x47$ (or x14$ x41$)) :named @p_81))
-(assume a21 (! (or x15$ (or x48$ x42$)) :named @p_84))
-(assume a23 (! (or x17$ (or x50$ (or x16$ x44$))) :named @p_87))
-(assume a25 (! (or x19$ (or x52$ (or x18$ x46$))) :named @p_90))
-(assume a28 (! (or x21$ (or x55$ (or x20$ x49$))) :named @p_93))
-(assume a30 (! (or x23$ (or x57$ (or x22$ x51$))) :named @p_96))
-(assume a32 (! (or x59$ (or x24$ x53$)) :named @p_99))
-(assume a33 (or x25$ x54$))
-(assume a35 (! (or x27$ (or x26$ x56$)) :named @p_102))
-(assume a37 (! (or x29$ (or x28$ x58$)) :named @p_105))
-(assume a41 (or (! (not x2$) :named @p_1) (! (not x32$) :named @p_2)))
-(assume a42 (or @p_1 (! (not x1$) :named @p_3)))
-(assume a43 (or @p_2 @p_3))
-(assume a47 (or (! (not x4$) :named @p_4) (! (not x34$) :named @p_5)))
-(assume a48 (or @p_4 (! (not x3$) :named @p_6)))
-(assume a49 (or @p_5 @p_6))
-(assume a54 (or (! (not x6$) :named @p_7) (! (not x37$) :named @p_8)))
-(assume a55 (or @p_7 (! (not x5$) :named @p_9)))
-(assume a56 (or @p_7 (! (not x31$) :named @p_10)))
-(assume a57 (or @p_8 @p_9))
-(assume a58 (or @p_8 @p_10))
-(assume a59 (or @p_9 @p_10))
-(assume a63 (or (! (not x38$) :named @p_11) @p_7))
-(assume a64 (or @p_11 @p_2))
-(assume a66 (or (! (not x8$) :named @p_12) (! (not x39$) :named @p_13)))
-(assume a67 (or @p_12 (! (not x7$) :named @p_14)))
-(assume a68 (or @p_12 (! (not x33$) :named @p_15)))
-(assume a69 (or @p_13 @p_14))
-(assume a70 (or @p_13 @p_15))
-(assume a71 (or @p_14 @p_15))
-(assume a78 (or (! (not x41$) :named @p_16) (! (not x9$) :named @p_17)))
-(assume a79 (or @p_16 (! (not x35$) :named @p_18)))
-(assume a80 (or @p_17 @p_18))
-(assume a81 (or (! (not x10$) :named @p_19) (! (not x42$) :named @p_20)))
-(assume a82 (or @p_19 (! (not x36$) :named @p_21)))
-(assume a83 (or @p_20 @p_21))
-(assume a90 (or (! (not x12$) :named @p_22) (! (not x44$) :named @p_23)))
-(assume a91 (or @p_22 (! (not x11$) :named @p_24)))
-(assume a92 (or @p_22 @p_11))
-(assume a93 (or @p_23 @p_24))
-(assume a94 (or @p_23 @p_11))
-(assume a95 (or @p_24 @p_11))
-(assume a99 (or (! (not x45$) :named @p_25) @p_22))
-(assume a100 (or @p_25 @p_13))
-(assume a102 (or (! (not x14$) :named @p_26) (! (not x46$) :named @p_27)))
-(assume a103 (or @p_26 (! (not x13$) :named @p_28)))
-(assume a104 (or @p_26 (! (not x40$) :named @p_29)))
-(assume a105 (or @p_27 @p_28))
-(assume a106 (or @p_27 @p_29))
-(assume a107 (or @p_28 @p_29))
-(assume a113 (or (! (not x48$) :named @p_41) @p_20))
-(assume a114 (or (! (not x16$) :named @p_30) (! (not x49$) :named @p_31)))
-(assume a115 (or @p_30 (! (not x15$) :named @p_32)))
-(assume a116 (or @p_30 (! (not x43$) :named @p_33)))
-(assume a117 (or @p_31 @p_32))
-(assume a118 (or @p_31 @p_33))
-(assume a119 (or @p_32 @p_33))
-(assume a126 (or (! (not x18$) :named @p_34) (! (not x51$) :named @p_35)))
-(assume a127 (or @p_34 (! (not x17$) :named @p_36)))
-(assume a128 (or @p_34 @p_25))
-(assume a129 (or @p_35 @p_36))
-(assume a130 (or @p_35 @p_25))
-(assume a131 (or @p_36 @p_25))
-(assume a134 (or (! (not x19$) :named @p_37) @p_27))
-(assume a138 (or (! (not x53$) :named @p_38) @p_37))
-(assume a139 (or @p_38 (! (not x47$) :named @p_39)))
-(assume a140 (or @p_37 @p_39))
-(assume a141 (or (! (not x20$) :named @p_40) (! (not x54$) :named @p_42)))
-(assume a142 (or @p_40 @p_41))
-(assume a143 (or @p_42 @p_41))
-(assume a150 (or (! (not x22$) :named @p_43) (! (not x56$) :named @p_44)))
-(assume a151 (or @p_43 (! (not x21$) :named @p_45)))
-(assume a152 (or @p_43 (! (not x50$) :named @p_46)))
-(assume a153 (or @p_44 @p_45))
-(assume a154 (or @p_44 @p_46))
-(assume a155 (or @p_45 @p_46))
-(assume a162 (or (! (not x24$) :named @p_47) (! (not x58$) :named @p_48)))
-(assume a163 (or @p_47 (! (not x23$) :named @p_49)))
-(assume a164 (or @p_47 (! (not x52$) :named @p_50)))
-(assume a165 (or @p_48 @p_49))
-(assume a166 (or @p_48 @p_50))
-(assume a167 (or @p_49 @p_50))
-(assume a172 (or (! (not x26$) :named @p_51) (! (not x25$) :named @p_52)))
-(assume a173 (or @p_51 (! (not x55$) :named @p_53)))
-(assume a174 (or @p_52 @p_53))
-(assume a178 (or (! (not x28$) :named @p_54) (! (not x27$) :named @p_55)))
-(assume a179 (or @p_54 (! (not x57$) :named @p_56)))
-(assume a180 (or @p_55 @p_56))
+(assume axiom0 (not x0$))
+(assume axiom1 (not x30$))
+(assume axiom2 (not x29$))
+(assume axiom3 (not x59$))
+(assume axiom4 (! (or x1$ (or x31$ x0$)) :named @p_57))
+(assume axiom6 (! (or x3$ (or x33$ x2$)) :named @p_60))
+(assume axiom7 (! (or x4$ (or x34$ x3$)) :named @p_63))
+(assume axiom8 (or x35$ x4$))
+(assume axiom9 (! (or x5$ (or x36$ x30$)) :named @p_66))
+(assume axiom11 (! (or x7$ (or x38$ (or x6$ x32$))) :named @p_69))
+(assume axiom13 (! (or x9$ (or x40$ (or x8$ x34$))) :named @p_72))
+(assume axiom16 (! (or x11$ (or x43$ (or x10$ x37$))) :named @p_75))
+(assume axiom18 (! (or x13$ (or x45$ (or x12$ x39$))) :named @p_78))
+(assume axiom20 (! (or x47$ (or x14$ x41$)) :named @p_81))
+(assume axiom21 (! (or x15$ (or x48$ x42$)) :named @p_84))
+(assume axiom23 (! (or x17$ (or x50$ (or x16$ x44$))) :named @p_87))
+(assume axiom25 (! (or x19$ (or x52$ (or x18$ x46$))) :named @p_90))
+(assume axiom28 (! (or x21$ (or x55$ (or x20$ x49$))) :named @p_93))
+(assume axiom30 (! (or x23$ (or x57$ (or x22$ x51$))) :named @p_96))
+(assume axiom32 (! (or x59$ (or x24$ x53$)) :named @p_99))
+(assume axiom33 (or x25$ x54$))
+(assume axiom35 (! (or x27$ (or x26$ x56$)) :named @p_102))
+(assume axiom37 (! (or x29$ (or x28$ x58$)) :named @p_105))
+(assume axiom41 (or (! (not x2$) :named @p_1) (! (not x32$) :named @p_2)))
+(assume axiom42 (or @p_1 (! (not x1$) :named @p_3)))
+(assume axiom43 (or @p_2 @p_3))
+(assume axiom47 (or (! (not x4$) :named @p_4) (! (not x34$) :named @p_5)))
+(assume axiom48 (or @p_4 (! (not x3$) :named @p_6)))
+(assume axiom49 (or @p_5 @p_6))
+(assume axiom54 (or (! (not x6$) :named @p_7) (! (not x37$) :named @p_8)))
+(assume axiom55 (or @p_7 (! (not x5$) :named @p_9)))
+(assume axiom56 (or @p_7 (! (not x31$) :named @p_10)))
+(assume axiom57 (or @p_8 @p_9))
+(assume axiom58 (or @p_8 @p_10))
+(assume axiom59 (or @p_9 @p_10))
+(assume axiom63 (or (! (not x38$) :named @p_11) @p_7))
+(assume axiom64 (or @p_11 @p_2))
+(assume axiom66 (or (! (not x8$) :named @p_12) (! (not x39$) :named @p_13)))
+(assume axiom67 (or @p_12 (! (not x7$) :named @p_14)))
+(assume axiom68 (or @p_12 (! (not x33$) :named @p_15)))
+(assume axiom69 (or @p_13 @p_14))
+(assume axiom70 (or @p_13 @p_15))
+(assume axiom71 (or @p_14 @p_15))
+(assume axiom78 (or (! (not x41$) :named @p_16) (! (not x9$) :named @p_17)))
+(assume axiom79 (or @p_16 (! (not x35$) :named @p_18)))
+(assume axiom80 (or @p_17 @p_18))
+(assume axiom81 (or (! (not x10$) :named @p_19) (! (not x42$) :named @p_20)))
+(assume axiom82 (or @p_19 (! (not x36$) :named @p_21)))
+(assume axiom83 (or @p_20 @p_21))
+(assume axiom90 (or (! (not x12$) :named @p_22) (! (not x44$) :named @p_23)))
+(assume axiom91 (or @p_22 (! (not x11$) :named @p_24)))
+(assume axiom92 (or @p_22 @p_11))
+(assume axiom93 (or @p_23 @p_24))
+(assume axiom94 (or @p_23 @p_11))
+(assume axiom95 (or @p_24 @p_11))
+(assume axiom99 (or (! (not x45$) :named @p_25) @p_22))
+(assume axiom100 (or @p_25 @p_13))
+(assume axiom102 (or (! (not x14$) :named @p_26) (! (not x46$) :named @p_27)))
+(assume axiom103 (or @p_26 (! (not x13$) :named @p_28)))
+(assume axiom104 (or @p_26 (! (not x40$) :named @p_29)))
+(assume axiom105 (or @p_27 @p_28))
+(assume axiom106 (or @p_27 @p_29))
+(assume axiom107 (or @p_28 @p_29))
+(assume axiom113 (or (! (not x48$) :named @p_41) @p_20))
+(assume axiom114 (or (! (not x16$) :named @p_30) (! (not x49$) :named @p_31)))
+(assume axiom115 (or @p_30 (! (not x15$) :named @p_32)))
+(assume axiom116 (or @p_30 (! (not x43$) :named @p_33)))
+(assume axiom117 (or @p_31 @p_32))
+(assume axiom118 (or @p_31 @p_33))
+(assume axiom119 (or @p_32 @p_33))
+(assume axiom126 (or (! (not x18$) :named @p_34) (! (not x51$) :named @p_35)))
+(assume axiom127 (or @p_34 (! (not x17$) :named @p_36)))
+(assume axiom128 (or @p_34 @p_25))
+(assume axiom129 (or @p_35 @p_36))
+(assume axiom130 (or @p_35 @p_25))
+(assume axiom131 (or @p_36 @p_25))
+(assume axiom134 (or (! (not x19$) :named @p_37) @p_27))
+(assume axiom138 (or (! (not x53$) :named @p_38) @p_37))
+(assume axiom139 (or @p_38 (! (not x47$) :named @p_39)))
+(assume axiom140 (or @p_37 @p_39))
+(assume axiom141 (or (! (not x20$) :named @p_40) (! (not x54$) :named @p_42)))
+(assume axiom142 (or @p_40 @p_41))
+(assume axiom143 (or @p_42 @p_41))
+(assume axiom150 (or (! (not x22$) :named @p_43) (! (not x56$) :named @p_44)))
+(assume axiom151 (or @p_43 (! (not x21$) :named @p_45)))
+(assume axiom152 (or @p_43 (! (not x50$) :named @p_46)))
+(assume axiom153 (or @p_44 @p_45))
+(assume axiom154 (or @p_44 @p_46))
+(assume axiom155 (or @p_45 @p_46))
+(assume axiom162 (or (! (not x24$) :named @p_47) (! (not x58$) :named @p_48)))
+(assume axiom163 (or @p_47 (! (not x23$) :named @p_49)))
+(assume axiom164 (or @p_47 (! (not x52$) :named @p_50)))
+(assume axiom165 (or @p_48 @p_49))
+(assume axiom166 (or @p_48 @p_50))
+(assume axiom167 (or @p_49 @p_50))
+(assume axiom172 (or (! (not x26$) :named @p_51) (! (not x25$) :named @p_52)))
+(assume axiom173 (or @p_51 (! (not x55$) :named @p_53)))
+(assume axiom174 (or @p_52 @p_53))
+(assume axiom178 (or (! (not x28$) :named @p_54) (! (not x27$) :named @p_55)))
+(assume axiom179 (or @p_54 (! (not x57$) :named @p_56)))
+(assume axiom180 (or @p_55 @p_56))
 (step t102 (cl (! (= @p_57 (! (or x1$ x31$ x0$) :named @p_59)) :named @p_58)) :rule ac_simp)
 (step t103 (cl (not @p_58) (not @p_57) @p_59) :rule equiv_pos2)
-(step t104 (cl @p_59) :rule th_resolution :premises (a4 t102 t103))
+(step t104 (cl @p_59) :rule th_resolution :premises (axiom4 t102 t103))
 (step t105 (cl (! (= @p_60 (! (or x3$ x33$ x2$) :named @p_62)) :named @p_61)) :rule ac_simp)
 (step t106 (cl (not @p_61) (not @p_60) @p_62) :rule equiv_pos2)
-(step t107 (cl @p_62) :rule th_resolution :premises (a6 t105 t106))
+(step t107 (cl @p_62) :rule th_resolution :premises (axiom6 t105 t106))
 (step t108 (cl (! (= @p_63 (! (or x4$ x34$ x3$) :named @p_65)) :named @p_64)) :rule ac_simp)
 (step t109 (cl (not @p_64) (not @p_63) @p_65) :rule equiv_pos2)
-(step t110 (cl @p_65) :rule th_resolution :premises (a7 t108 t109))
+(step t110 (cl @p_65) :rule th_resolution :premises (axiom7 t108 t109))
 (step t111 (cl (! (= @p_66 (! (or x5$ x36$ x30$) :named @p_68)) :named @p_67)) :rule ac_simp)
 (step t112 (cl (not @p_67) (not @p_66) @p_68) :rule equiv_pos2)
-(step t113 (cl @p_68) :rule th_resolution :premises (a9 t111 t112))
+(step t113 (cl @p_68) :rule th_resolution :premises (axiom9 t111 t112))
 (step t114 (cl (! (= @p_69 (! (or x7$ x38$ x6$ x32$) :named @p_71)) :named @p_70)) :rule ac_simp)
 (step t115 (cl (not @p_70) (not @p_69) @p_71) :rule equiv_pos2)
-(step t116 (cl @p_71) :rule th_resolution :premises (a11 t114 t115))
+(step t116 (cl @p_71) :rule th_resolution :premises (axiom11 t114 t115))
 (step t117 (cl (! (= @p_72 (! (or x9$ x40$ x8$ x34$) :named @p_74)) :named @p_73)) :rule ac_simp)
 (step t118 (cl (not @p_73) (not @p_72) @p_74) :rule equiv_pos2)
-(step t119 (cl @p_74) :rule th_resolution :premises (a13 t117 t118))
+(step t119 (cl @p_74) :rule th_resolution :premises (axiom13 t117 t118))
 (step t120 (cl (! (= @p_75 (! (or x11$ x43$ x10$ x37$) :named @p_77)) :named @p_76)) :rule ac_simp)
 (step t121 (cl (not @p_76) (not @p_75) @p_77) :rule equiv_pos2)
-(step t122 (cl @p_77) :rule th_resolution :premises (a16 t120 t121))
+(step t122 (cl @p_77) :rule th_resolution :premises (axiom16 t120 t121))
 (step t123 (cl (! (= @p_78 (! (or x13$ x45$ x12$ x39$) :named @p_80)) :named @p_79)) :rule ac_simp)
 (step t124 (cl (not @p_79) (not @p_78) @p_80) :rule equiv_pos2)
-(step t125 (cl @p_80) :rule th_resolution :premises (a18 t123 t124))
+(step t125 (cl @p_80) :rule th_resolution :premises (axiom18 t123 t124))
 (step t126 (cl (! (= @p_81 (! (or x47$ x14$ x41$) :named @p_83)) :named @p_82)) :rule ac_simp)
 (step t127 (cl (not @p_82) (not @p_81) @p_83) :rule equiv_pos2)
-(step t128 (cl @p_83) :rule th_resolution :premises (a20 t126 t127))
+(step t128 (cl @p_83) :rule th_resolution :premises (axiom20 t126 t127))
 (step t129 (cl (! (= @p_84 (! (or x15$ x48$ x42$) :named @p_86)) :named @p_85)) :rule ac_simp)
 (step t130 (cl (not @p_85) (not @p_84) @p_86) :rule equiv_pos2)
-(step t131 (cl @p_86) :rule th_resolution :premises (a21 t129 t130))
+(step t131 (cl @p_86) :rule th_resolution :premises (axiom21 t129 t130))
 (step t132 (cl (! (= @p_87 (! (or x17$ x50$ x16$ x44$) :named @p_89)) :named @p_88)) :rule ac_simp)
 (step t133 (cl (not @p_88) (not @p_87) @p_89) :rule equiv_pos2)
-(step t134 (cl @p_89) :rule th_resolution :premises (a23 t132 t133))
+(step t134 (cl @p_89) :rule th_resolution :premises (axiom23 t132 t133))
 (step t135 (cl (! (= @p_90 (! (or x19$ x52$ x18$ x46$) :named @p_92)) :named @p_91)) :rule ac_simp)
 (step t136 (cl (not @p_91) (not @p_90) @p_92) :rule equiv_pos2)
-(step t137 (cl @p_92) :rule th_resolution :premises (a25 t135 t136))
+(step t137 (cl @p_92) :rule th_resolution :premises (axiom25 t135 t136))
 (step t138 (cl (! (= @p_93 (! (or x21$ x55$ x20$ x49$) :named @p_95)) :named @p_94)) :rule ac_simp)
 (step t139 (cl (not @p_94) (not @p_93) @p_95) :rule equiv_pos2)
-(step t140 (cl @p_95) :rule th_resolution :premises (a28 t138 t139))
+(step t140 (cl @p_95) :rule th_resolution :premises (axiom28 t138 t139))
 (step t141 (cl (! (= @p_96 (! (or x23$ x57$ x22$ x51$) :named @p_98)) :named @p_97)) :rule ac_simp)
 (step t142 (cl (not @p_97) (not @p_96) @p_98) :rule equiv_pos2)
-(step t143 (cl @p_98) :rule th_resolution :premises (a30 t141 t142))
+(step t143 (cl @p_98) :rule th_resolution :premises (axiom30 t141 t142))
 (step t144 (cl (! (= @p_99 (! (or x59$ x24$ x53$) :named @p_101)) :named @p_100)) :rule ac_simp)
 (step t145 (cl (not @p_100) (not @p_99) @p_101) :rule equiv_pos2)
-(step t146 (cl @p_101) :rule th_resolution :premises (a32 t144 t145))
+(step t146 (cl @p_101) :rule th_resolution :premises (axiom32 t144 t145))
 (step t147 (cl (! (= @p_102 (! (or x27$ x26$ x56$) :named @p_104)) :named @p_103)) :rule ac_simp)
 (step t148 (cl (not @p_103) (not @p_102) @p_104) :rule equiv_pos2)
-(step t149 (cl @p_104) :rule th_resolution :premises (a35 t147 t148))
+(step t149 (cl @p_104) :rule th_resolution :premises (axiom35 t147 t148))
 (step t150 (cl (! (= @p_105 (! (or x29$ x28$ x58$) :named @p_107)) :named @p_106)) :rule ac_simp)
 (step t151 (cl (not @p_106) (not @p_105) @p_107) :rule equiv_pos2)
-(step t152 (cl @p_107) :rule th_resolution :premises (a37 t150 t151))
+(step t152 (cl @p_107) :rule th_resolution :premises (axiom37 t150 t151))
 (step t153 (cl x1$ x31$ x0$) :rule or :premises (t104))
-(step t154 (cl x1$ x31$) :rule resolution :premises (t153 a0))
+(step t154 (cl x1$ x31$) :rule resolution :premises (t153 axiom0))
 (step t155 (cl x3$ x33$ x2$) :rule or :premises (t107))
 (step t156 (cl x4$ x34$ x3$) :rule or :premises (t110))
-(step t157 (cl x35$ x4$) :rule or :premises (a8))
+(step t157 (cl x35$ x4$) :rule or :premises (axiom8))
 (step t158 (cl x5$ x36$ x30$) :rule or :premises (t113))
-(step t159 (cl x5$ x36$) :rule resolution :premises (t158 a1))
+(step t159 (cl x5$ x36$) :rule resolution :premises (t158 axiom1))
 (step t160 (cl x7$ x38$ x6$ x32$) :rule or :premises (t116))
 (step t161 (cl x9$ x40$ x8$ x34$) :rule or :premises (t119))
 (step t162 (cl x11$ x43$ x10$ x37$) :rule or :premises (t122))
@@ -447,89 +382,89 @@
 (step t168 (cl x21$ x55$ x20$ x49$) :rule or :premises (t140))
 (step t169 (cl x23$ x57$ x22$ x51$) :rule or :premises (t143))
 (step t170 (cl x59$ x24$ x53$) :rule or :premises (t146))
-(step t171 (cl x24$ x53$) :rule resolution :premises (t170 a3))
-(step t172 (cl x25$ x54$) :rule or :premises (a33))
+(step t171 (cl x24$ x53$) :rule resolution :premises (t170 axiom3))
+(step t172 (cl x25$ x54$) :rule or :premises (axiom33))
 (step t173 (cl x27$ x26$ x56$) :rule or :premises (t149))
 (step t174 (cl x29$ x28$ x58$) :rule or :premises (t152))
-(step t175 (cl x28$ x58$) :rule resolution :premises (t174 a2))
-(step t176 (cl @p_1 @p_2) :rule or :premises (a41))
-(step t177 (cl @p_1 @p_3) :rule or :premises (a42))
-(step t178 (cl @p_2 @p_3) :rule or :premises (a43))
-(step t179 (cl @p_4 @p_5) :rule or :premises (a47))
-(step t180 (cl @p_4 @p_6) :rule or :premises (a48))
-(step t181 (cl @p_5 @p_6) :rule or :premises (a49))
-(step t182 (cl @p_7 @p_8) :rule or :premises (a54))
-(step t183 (cl @p_7 @p_9) :rule or :premises (a55))
-(step t184 (cl @p_7 @p_10) :rule or :premises (a56))
-(step t185 (cl @p_8 @p_9) :rule or :premises (a57))
-(step t186 (cl @p_8 @p_10) :rule or :premises (a58))
-(step t187 (cl @p_9 @p_10) :rule or :premises (a59))
-(step t188 (cl @p_11 @p_7) :rule or :premises (a63))
-(step t189 (cl @p_11 @p_2) :rule or :premises (a64))
-(step t190 (cl @p_12 @p_13) :rule or :premises (a66))
-(step t191 (cl @p_12 @p_14) :rule or :premises (a67))
-(step t192 (cl @p_12 @p_15) :rule or :premises (a68))
-(step t193 (cl @p_13 @p_14) :rule or :premises (a69))
-(step t194 (cl @p_13 @p_15) :rule or :premises (a70))
-(step t195 (cl @p_14 @p_15) :rule or :premises (a71))
-(step t196 (cl @p_16 @p_17) :rule or :premises (a78))
-(step t197 (cl @p_16 @p_18) :rule or :premises (a79))
-(step t198 (cl @p_17 @p_18) :rule or :premises (a80))
-(step t199 (cl @p_19 @p_20) :rule or :premises (a81))
-(step t200 (cl @p_19 @p_21) :rule or :premises (a82))
-(step t201 (cl @p_20 @p_21) :rule or :premises (a83))
-(step t202 (cl @p_22 @p_23) :rule or :premises (a90))
-(step t203 (cl @p_22 @p_24) :rule or :premises (a91))
-(step t204 (cl @p_22 @p_11) :rule or :premises (a92))
-(step t205 (cl @p_23 @p_24) :rule or :premises (a93))
-(step t206 (cl @p_23 @p_11) :rule or :premises (a94))
-(step t207 (cl @p_24 @p_11) :rule or :premises (a95))
-(step t208 (cl @p_25 @p_22) :rule or :premises (a99))
-(step t209 (cl @p_25 @p_13) :rule or :premises (a100))
-(step t210 (cl @p_26 @p_27) :rule or :premises (a102))
-(step t211 (cl @p_26 @p_28) :rule or :premises (a103))
-(step t212 (cl @p_26 @p_29) :rule or :premises (a104))
-(step t213 (cl @p_27 @p_28) :rule or :premises (a105))
-(step t214 (cl @p_27 @p_29) :rule or :premises (a106))
-(step t215 (cl @p_28 @p_29) :rule or :premises (a107))
-(step t216 (cl @p_41 @p_20) :rule or :premises (a113))
-(step t217 (cl @p_30 @p_31) :rule or :premises (a114))
-(step t218 (cl @p_30 @p_32) :rule or :premises (a115))
-(step t219 (cl @p_30 @p_33) :rule or :premises (a116))
-(step t220 (cl @p_31 @p_32) :rule or :premises (a117))
-(step t221 (cl @p_31 @p_33) :rule or :premises (a118))
-(step t222 (cl @p_32 @p_33) :rule or :premises (a119))
-(step t223 (cl @p_34 @p_35) :rule or :premises (a126))
-(step t224 (cl @p_34 @p_36) :rule or :premises (a127))
-(step t225 (cl @p_34 @p_25) :rule or :premises (a128))
-(step t226 (cl @p_35 @p_36) :rule or :premises (a129))
-(step t227 (cl @p_35 @p_25) :rule or :premises (a130))
-(step t228 (cl @p_36 @p_25) :rule or :premises (a131))
-(step t229 (cl @p_37 @p_27) :rule or :premises (a134))
-(step t230 (cl @p_38 @p_37) :rule or :premises (a138))
-(step t231 (cl @p_38 @p_39) :rule or :premises (a139))
-(step t232 (cl @p_37 @p_39) :rule or :premises (a140))
-(step t233 (cl @p_40 @p_42) :rule or :premises (a141))
-(step t234 (cl @p_40 @p_41) :rule or :premises (a142))
-(step t235 (cl @p_42 @p_41) :rule or :premises (a143))
-(step t236 (cl @p_43 @p_44) :rule or :premises (a150))
-(step t237 (cl @p_43 @p_45) :rule or :premises (a151))
-(step t238 (cl @p_43 @p_46) :rule or :premises (a152))
-(step t239 (cl @p_44 @p_45) :rule or :premises (a153))
-(step t240 (cl @p_44 @p_46) :rule or :premises (a154))
-(step t241 (cl @p_45 @p_46) :rule or :premises (a155))
-(step t242 (cl @p_47 @p_48) :rule or :premises (a162))
-(step t243 (cl @p_47 @p_49) :rule or :premises (a163))
-(step t244 (cl @p_47 @p_50) :rule or :premises (a164))
-(step t245 (cl @p_48 @p_49) :rule or :premises (a165))
-(step t246 (cl @p_48 @p_50) :rule or :premises (a166))
-(step t247 (cl @p_49 @p_50) :rule or :premises (a167))
-(step t248 (cl @p_51 @p_52) :rule or :premises (a172))
-(step t249 (cl @p_51 @p_53) :rule or :premises (a173))
-(step t250 (cl @p_52 @p_53) :rule or :premises (a174))
-(step t251 (cl @p_54 @p_55) :rule or :premises (a178))
-(step t252 (cl @p_54 @p_56) :rule or :premises (a179))
-(step t253 (cl @p_55 @p_56) :rule or :premises (a180))
+(step t175 (cl x28$ x58$) :rule resolution :premises (t174 axiom2))
+(step t176 (cl @p_1 @p_2) :rule or :premises (axiom41))
+(step t177 (cl @p_1 @p_3) :rule or :premises (axiom42))
+(step t178 (cl @p_2 @p_3) :rule or :premises (axiom43))
+(step t179 (cl @p_4 @p_5) :rule or :premises (axiom47))
+(step t180 (cl @p_4 @p_6) :rule or :premises (axiom48))
+(step t181 (cl @p_5 @p_6) :rule or :premises (axiom49))
+(step t182 (cl @p_7 @p_8) :rule or :premises (axiom54))
+(step t183 (cl @p_7 @p_9) :rule or :premises (axiom55))
+(step t184 (cl @p_7 @p_10) :rule or :premises (axiom56))
+(step t185 (cl @p_8 @p_9) :rule or :premises (axiom57))
+(step t186 (cl @p_8 @p_10) :rule or :premises (axiom58))
+(step t187 (cl @p_9 @p_10) :rule or :premises (axiom59))
+(step t188 (cl @p_11 @p_7) :rule or :premises (axiom63))
+(step t189 (cl @p_11 @p_2) :rule or :premises (axiom64))
+(step t190 (cl @p_12 @p_13) :rule or :premises (axiom66))
+(step t191 (cl @p_12 @p_14) :rule or :premises (axiom67))
+(step t192 (cl @p_12 @p_15) :rule or :premises (axiom68))
+(step t193 (cl @p_13 @p_14) :rule or :premises (axiom69))
+(step t194 (cl @p_13 @p_15) :rule or :premises (axiom70))
+(step t195 (cl @p_14 @p_15) :rule or :premises (axiom71))
+(step t196 (cl @p_16 @p_17) :rule or :premises (axiom78))
+(step t197 (cl @p_16 @p_18) :rule or :premises (axiom79))
+(step t198 (cl @p_17 @p_18) :rule or :premises (axiom80))
+(step t199 (cl @p_19 @p_20) :rule or :premises (axiom81))
+(step t200 (cl @p_19 @p_21) :rule or :premises (axiom82))
+(step t201 (cl @p_20 @p_21) :rule or :premises (axiom83))
+(step t202 (cl @p_22 @p_23) :rule or :premises (axiom90))
+(step t203 (cl @p_22 @p_24) :rule or :premises (axiom91))
+(step t204 (cl @p_22 @p_11) :rule or :premises (axiom92))
+(step t205 (cl @p_23 @p_24) :rule or :premises (axiom93))
+(step t206 (cl @p_23 @p_11) :rule or :premises (axiom94))
+(step t207 (cl @p_24 @p_11) :rule or :premises (axiom95))
+(step t208 (cl @p_25 @p_22) :rule or :premises (axiom99))
+(step t209 (cl @p_25 @p_13) :rule or :premises (axiom100))
+(step t210 (cl @p_26 @p_27) :rule or :premises (axiom102))
+(step t211 (cl @p_26 @p_28) :rule or :premises (axiom103))
+(step t212 (cl @p_26 @p_29) :rule or :premises (axiom104))
+(step t213 (cl @p_27 @p_28) :rule or :premises (axiom105))
+(step t214 (cl @p_27 @p_29) :rule or :premises (axiom106))
+(step t215 (cl @p_28 @p_29) :rule or :premises (axiom107))
+(step t216 (cl @p_41 @p_20) :rule or :premises (axiom113))
+(step t217 (cl @p_30 @p_31) :rule or :premises (axiom114))
+(step t218 (cl @p_30 @p_32) :rule or :premises (axiom115))
+(step t219 (cl @p_30 @p_33) :rule or :premises (axiom116))
+(step t220 (cl @p_31 @p_32) :rule or :premises (axiom117))
+(step t221 (cl @p_31 @p_33) :rule or :premises (axiom118))
+(step t222 (cl @p_32 @p_33) :rule or :premises (axiom119))
+(step t223 (cl @p_34 @p_35) :rule or :premises (axiom126))
+(step t224 (cl @p_34 @p_36) :rule or :premises (axiom127))
+(step t225 (cl @p_34 @p_25) :rule or :premises (axiom128))
+(step t226 (cl @p_35 @p_36) :rule or :premises (axiom129))
+(step t227 (cl @p_35 @p_25) :rule or :premises (axiom130))
+(step t228 (cl @p_36 @p_25) :rule or :premises (axiom131))
+(step t229 (cl @p_37 @p_27) :rule or :premises (axiom134))
+(step t230 (cl @p_38 @p_37) :rule or :premises (axiom138))
+(step t231 (cl @p_38 @p_39) :rule or :premises (axiom139))
+(step t232 (cl @p_37 @p_39) :rule or :premises (axiom140))
+(step t233 (cl @p_40 @p_42) :rule or :premises (axiom141))
+(step t234 (cl @p_40 @p_41) :rule or :premises (axiom142))
+(step t235 (cl @p_42 @p_41) :rule or :premises (axiom143))
+(step t236 (cl @p_43 @p_44) :rule or :premises (axiom150))
+(step t237 (cl @p_43 @p_45) :rule or :premises (axiom151))
+(step t238 (cl @p_43 @p_46) :rule or :premises (axiom152))
+(step t239 (cl @p_44 @p_45) :rule or :premises (axiom153))
+(step t240 (cl @p_44 @p_46) :rule or :premises (axiom154))
+(step t241 (cl @p_45 @p_46) :rule or :premises (axiom155))
+(step t242 (cl @p_47 @p_48) :rule or :premises (axiom162))
+(step t243 (cl @p_47 @p_49) :rule or :premises (axiom163))
+(step t244 (cl @p_47 @p_50) :rule or :premises (axiom164))
+(step t245 (cl @p_48 @p_49) :rule or :premises (axiom165))
+(step t246 (cl @p_48 @p_50) :rule or :premises (axiom166))
+(step t247 (cl @p_49 @p_50) :rule or :premises (axiom167))
+(step t248 (cl @p_51 @p_52) :rule or :premises (axiom172))
+(step t249 (cl @p_51 @p_53) :rule or :premises (axiom173))
+(step t250 (cl @p_52 @p_53) :rule or :premises (axiom174))
+(step t251 (cl @p_54 @p_55) :rule or :premises (axiom178))
+(step t252 (cl @p_54 @p_56) :rule or :premises (axiom179))
+(step t253 (cl @p_55 @p_56) :rule or :premises (axiom180))
 (step t254 (cl x48$ x47$ @p_27) :rule resolution :premises (t222 t165 t162 t201 t200 t207 t159 t160 t187 t186 t184 t154 t177 t176 t155 t192 t191 t161 t180 t179 t157 t197 t196 t164 t214 t210))
 (step t255 (cl x47$ x45$ x12$ x38$ @p_9) :rule resolution :premises (t196 t161 t164 t181 t215 t211 t155 t163 t195 t193 t191 t160 t178 t177 t154 t187 t183))
 (step t256 (cl x47$ x45$ x17$ x50$ @p_32) :rule resolution :premises (t196 t161 t164 t181 t215 t211 t155 t163 t195 t193 t191 t160 t178 t177 t154 t186 t182 t162 t200 t159 t255 t206 t205 t202 t166 t222 t218))
@@ -609,13 +544,78 @@
 (step t330 (cl x36$) :rule resolution :premises (t159 t328))
 (step t331 (cl x42$) :rule resolution :premises (t287 t329))
 (step t332 (cl) :rule resolution :premises (t201 t330 t331))
-9024ca3fa3536be727200e6a5ffc1df778e7e505 155 0
+5895c6070af96c275f3f46cd6f9c0ddc1803c656 64 0
+unsat
+(define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (! (=> (! (p$ veriT_vr2) :named @p_20) (! (forall ((veriT_vr3 Int)) (! (or @p_20 (! (p$ veriT_vr3) :named @p_24)) :named @p_25)) :named @p_21)) :named @p_26))) :named @p_33))
+(define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (or (p$ @p_33) @p_24))) :named @p_37))
+(assume axiom0 (! (not (! (forall ((?v0 Int)) (! (=> (! (p$ ?v0) :named @p_1) (! (forall ((?v1 Int)) (! (or @p_1 (! (p$ ?v1) :named @p_8)) :named @p_10)) :named @p_4)) :named @p_12)) :named @p_2)) :named @p_14))
+(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0)))
+(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_6)) :rule refl)
+(step t2.t2 (cl (! (= @p_1 (! (p$ veriT_vr0) :named @p_3)) :named @p_7)) :rule cong :premises (t2.t1))
+(anchor :step t2.t3 :args ((:= (?v1 Int) veriT_vr1)))
+(step t2.t3.t1 (cl @p_6) :rule refl)
+(step t2.t3.t2 (cl @p_7) :rule cong :premises (t2.t3.t1))
+(step t2.t3.t3 (cl (= ?v1 veriT_vr1)) :rule refl)
+(step t2.t3.t4 (cl (= @p_8 (! (p$ veriT_vr1) :named @p_9))) :rule cong :premises (t2.t3.t3))
+(step t2.t3.t5 (cl (= @p_10 (! (or @p_3 @p_9) :named @p_11))) :rule cong :premises (t2.t3.t2 t2.t3.t4))
+(step t2.t3 (cl (= @p_4 (! (forall ((veriT_vr1 Int)) @p_11) :named @p_5))) :rule bind)
+(step t2.t4 (cl (= @p_12 (! (=> @p_3 @p_5) :named @p_13))) :rule cong :premises (t2.t2 t2.t3))
+(step t2 (cl (= @p_2 (! (forall ((veriT_vr0 Int)) @p_13) :named @p_15))) :rule bind)
+(step t3 (cl (! (= @p_14 (! (not @p_15) :named @p_17)) :named @p_16)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_16) :named @p_19) (! (not @p_14) :named @p_18) @p_17) :rule equiv_pos2)
+(step t5 (cl (not @p_18) @p_2) :rule not_not)
+(step t6 (cl @p_19 @p_2 @p_17) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_17) :rule th_resolution :premises (axiom0 t3 t6))
+(anchor :step t8 :args ((:= (veriT_vr0 Int) veriT_vr2)))
+(step t8.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_22)) :rule refl)
+(step t8.t2 (cl (! (= @p_3 @p_20) :named @p_23)) :rule cong :premises (t8.t1))
+(anchor :step t8.t3 :args ((:= (veriT_vr1 Int) veriT_vr3)))
+(step t8.t3.t1 (cl @p_22) :rule refl)
+(step t8.t3.t2 (cl @p_23) :rule cong :premises (t8.t3.t1))
+(step t8.t3.t3 (cl (= veriT_vr1 veriT_vr3)) :rule refl)
+(step t8.t3.t4 (cl (= @p_9 @p_24)) :rule cong :premises (t8.t3.t3))
+(step t8.t3.t5 (cl (= @p_11 @p_25)) :rule cong :premises (t8.t3.t2 t8.t3.t4))
+(step t8.t3 (cl (= @p_5 @p_21)) :rule bind)
+(step t8.t4 (cl (= @p_13 @p_26)) :rule cong :premises (t8.t2 t8.t3))
+(step t8 (cl (= @p_15 (! (forall ((veriT_vr2 Int)) @p_26) :named @p_27))) :rule bind)
+(step t9 (cl (! (= @p_17 (! (not @p_27) :named @p_29)) :named @p_28)) :rule cong :premises (t8))
+(step t10 (cl (! (not @p_28) :named @p_31) (! (not @p_17) :named @p_30) @p_29) :rule equiv_pos2)
+(step t11 (cl (not @p_30) @p_15) :rule not_not)
+(step t12 (cl @p_31 @p_15 @p_29) :rule th_resolution :premises (t11 t10))
+(step t13 (cl @p_29) :rule th_resolution :premises (t7 t9 t12))
+(anchor :step t14 :args ((:= (veriT_vr2 Int) veriT_sk0)))
+(step t14.t1 (cl (! (= veriT_vr2 veriT_sk0) :named @p_35)) :rule refl)
+(step t14.t2 (cl (! (= @p_20 (! (p$ veriT_sk0) :named @p_32)) :named @p_36)) :rule cong :premises (t14.t1))
+(anchor :step t14.t3 :args ((:= (veriT_vr3 Int) veriT_sk1)))
+(step t14.t3.t1 (cl @p_35) :rule refl)
+(step t14.t3.t2 (cl @p_36) :rule cong :premises (t14.t3.t1))
+(step t14.t3.t3 (cl (= veriT_vr3 veriT_sk1)) :rule refl)
+(step t14.t3.t4 (cl (= @p_24 (! (p$ veriT_sk1) :named @p_38))) :rule cong :premises (t14.t3.t3))
+(step t14.t3.t5 (cl (= @p_25 (! (or @p_32 @p_38) :named @p_34))) :rule cong :premises (t14.t3.t2 t14.t3.t4))
+(step t14.t3 (cl (= @p_21 @p_34)) :rule sko_forall)
+(step t14.t4 (cl (= @p_26 (! (=> @p_32 @p_34) :named @p_39))) :rule cong :premises (t14.t2 t14.t3))
+(step t14 (cl (= @p_27 @p_39)) :rule sko_forall)
+(step t15 (cl (! (= @p_29 (! (not @p_39) :named @p_41)) :named @p_40)) :rule cong :premises (t14))
+(step t16 (cl (! (not @p_40) :named @p_43) (! (not @p_29) :named @p_42) @p_41) :rule equiv_pos2)
+(step t17 (cl (not @p_42) @p_27) :rule not_not)
+(step t18 (cl @p_43 @p_27 @p_41) :rule th_resolution :premises (t17 t16))
+(step t19 (cl @p_41) :rule th_resolution :premises (t13 t15 t18))
+(step t20 (cl (! (= @p_41 (! (and @p_32 (! (not @p_34) :named @p_48)) :named @p_45)) :named @p_44)) :rule bool_simplify)
+(step t21 (cl (! (not @p_44) :named @p_47) (! (not @p_41) :named @p_46) @p_45) :rule equiv_pos2)
+(step t22 (cl (not @p_46) @p_39) :rule not_not)
+(step t23 (cl @p_47 @p_39 @p_45) :rule th_resolution :premises (t22 t21))
+(step t24 (cl @p_45) :rule th_resolution :premises (t19 t20 t23))
+(step t25 (cl @p_32) :rule and :premises (t24))
+(step t26 (cl @p_48) :rule and :premises (t24))
+(step t27 (cl (not @p_32)) :rule not_or :premises (t26))
+(step t28 (cl) :rule resolution :premises (t27 t25))
+92a1094a80c0dcb33184d755df79398cf322af19 155 0
 unsat
 (define-fun veriT_sk0 () A$ (! (choice ((veriT_vr3 A$)) (! (ite x$ (! (p$ true veriT_vr3) :named @p_48) (! (p$ false veriT_vr3) :named @p_50)) :named @p_51)) :named @p_62))
-(assume a0 (forall ((?v0 Bool) (?v1 A$)) (= (p$ ?v0 ?v1) ?v0)))
-(assume a1 (not (= (exists ((?v0 A$)) (p$ x$ ?v0)) (p$ x$ c$))))
-(step t3 (cl (! (forall ((?v1 A$)) (! (and (! (= (! (p$ false ?v1) :named @p_2) false) :named @p_4) (! (= (! (p$ true ?v1) :named @p_7) true) :named @p_9)) :named @p_11)) :named @p_1)) :rule bfun_elim :premises (a0))
-(step t4 (cl (! (not (! (= (! (exists ((?v0 A$)) (! (ite x$ (! (p$ true ?v0) :named @p_27) (! (p$ false ?v0) :named @p_30)) :named @p_32)) :named @p_26) (! (ite x$ (! (p$ true c$) :named @p_91) (! (p$ false c$) :named @p_93)) :named @p_36)) :named @p_34)) :named @p_37)) :rule bfun_elim :premises (a1))
+(assume axiom0 (forall ((?v0 Bool) (?v1 A$)) (= (p$ ?v0 ?v1) ?v0)))
+(assume axiom1 (not (= (exists ((?v0 A$)) (p$ x$ ?v0)) (p$ x$ c$))))
+(step t3 (cl (! (forall ((?v1 A$)) (! (and (! (= (! (p$ false ?v1) :named @p_2) false) :named @p_4) (! (= (! (p$ true ?v1) :named @p_7) true) :named @p_9)) :named @p_11)) :named @p_1)) :rule bfun_elim :premises (axiom0))
+(step t4 (cl (! (not (! (= (! (exists ((?v0 A$)) (! (ite x$ (! (p$ true ?v0) :named @p_27) (! (p$ false ?v0) :named @p_30)) :named @p_32)) :named @p_26) (! (ite x$ (! (p$ true c$) :named @p_91) (! (p$ false c$) :named @p_93)) :named @p_36)) :named @p_34)) :named @p_37)) :rule bfun_elim :premises (axiom1))
 (anchor :step t5 :args ((:= (?v1 A$) veriT_vr0)))
 (step t5.t1 (cl (! (= ?v1 veriT_vr0) :named @p_6)) :rule refl)
 (step t5.t2 (cl (= @p_2 (! (p$ false veriT_vr0) :named @p_3))) :rule cong :premises (t5.t1))
@@ -765,13 +765,13 @@
 (step t108 (cl (or @p_84 @p_92)) :rule forall_inst :args ((:= veriT_vr4 c$)))
 (step t109 (cl @p_84 @p_92) :rule or :premises (t108))
 (step t110 (cl) :rule resolution :premises (t109 t104 t107))
-6388f32213a8f0cba4b8bfe24dbcf79d47d5c156 143 0
+811ced85456c84c67b4bd2d5cedbf22b20ed06ce 143 0
 unsat
 (define-fun veriT_sk2 () A$ (! (choice ((veriT_vr9 A$)) (! (ite x$ (! (p$ true veriT_vr9) :named @p_48) (! (p$ false veriT_vr9) :named @p_50)) :named @p_51)) :named @p_62))
-(assume a0 (forall ((?v0 Bool) (?v1 A$)) (= (p$ ?v0 ?v1) ?v0)))
-(assume a2 (not (= (exists ((?v0 A$)) (p$ x$ ?v0)) (p$ x$ c$))))
-(step t3 (cl (! (forall ((?v1 A$)) (! (and (! (= (! (p$ false ?v1) :named @p_2) false) :named @p_4) (! (= (! (p$ true ?v1) :named @p_7) true) :named @p_9)) :named @p_11)) :named @p_1)) :rule bfun_elim :premises (a0))
-(step t4 (cl (! (not (! (= (! (exists ((?v0 A$)) (! (ite x$ (! (p$ true ?v0) :named @p_27) (! (p$ false ?v0) :named @p_30)) :named @p_32)) :named @p_26) (! (ite x$ (! (p$ true c$) :named @p_91) (p$ false c$)) :named @p_36)) :named @p_34)) :named @p_37)) :rule bfun_elim :premises (a2))
+(assume axiom0 (forall ((?v0 Bool) (?v1 A$)) (= (p$ ?v0 ?v1) ?v0)))
+(assume axiom2 (not (= (exists ((?v0 A$)) (p$ x$ ?v0)) (p$ x$ c$))))
+(step t3 (cl (! (forall ((?v1 A$)) (! (and (! (= (! (p$ false ?v1) :named @p_2) false) :named @p_4) (! (= (! (p$ true ?v1) :named @p_7) true) :named @p_9)) :named @p_11)) :named @p_1)) :rule bfun_elim :premises (axiom0))
+(step t4 (cl (! (not (! (= (! (exists ((?v0 A$)) (! (ite x$ (! (p$ true ?v0) :named @p_27) (! (p$ false ?v0) :named @p_30)) :named @p_32)) :named @p_26) (! (ite x$ (! (p$ true c$) :named @p_91) (p$ false c$)) :named @p_36)) :named @p_34)) :named @p_37)) :rule bfun_elim :premises (axiom2))
 (anchor :step t5 :args ((:= (?v1 A$) veriT_vr0)))
 (step t5.t1 (cl (! (= ?v1 veriT_vr0) :named @p_6)) :rule refl)
 (step t5.t2 (cl (= @p_2 (! (p$ false veriT_vr0) :named @p_3))) :rule cong :premises (t5.t1))
@@ -909,10 +909,10 @@
 (step t96 (cl (or @p_84 @p_106)) :rule forall_inst :args ((:= veriT_vr10 c$)))
 (step t97 (cl @p_84 @p_106) :rule or :premises (t96))
 (step t98 (cl) :rule resolution :premises (t97 t94 t95))
-8a6f5819f9bec363751118815580748c0df0e998 57 0
+fa33723879319b6b43d6be3aebc3d4bf112ced6c 57 0
 unsat
-(assume a0 (! (ite (! (p$ x$) :named @p_2) (! (not (! (exists ((?v0 A$)) (! (p$ ?v0) :named @p_1)) :named @p_3)) :named @p_5) (! (forall ((?v0 A$)) (! (not @p_1) :named @p_10)) :named @p_7)) :named @p_12))
-(assume a1 (! (not (! (=> @p_2 (! (p$ y$) :named @p_35)) :named @p_39)) :named @p_34))
+(assume axiom0 (! (ite (! (p$ x$) :named @p_2) (! (not (! (exists ((?v0 A$)) (! (p$ ?v0) :named @p_1)) :named @p_3)) :named @p_5) (! (forall ((?v0 A$)) (! (not @p_1) :named @p_10)) :named @p_7)) :named @p_12))
+(assume axiom1 (! (not (! (=> @p_2 (! (p$ y$) :named @p_35)) :named @p_39)) :named @p_34))
 (anchor :step t3 :args ((:= (?v0 A$) veriT_vr0)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr0) :named @p_8)) :rule refl)
 (step t3.t2 (cl (! (= @p_1 (! (p$ veriT_vr0) :named @p_4)) :named @p_9)) :rule cong :premises (t3.t1))
@@ -925,7 +925,7 @@
 (step t5 (cl (= @p_7 (! (forall ((veriT_vr0 A$)) @p_11) :named @p_14))) :rule bind)
 (step t6 (cl (! (= @p_12 (! (ite @p_2 @p_13 @p_14) :named @p_16)) :named @p_15)) :rule cong :premises (t4 t5))
 (step t7 (cl (not @p_15) (not @p_12) @p_16) :rule equiv_pos2)
-(step t8 (cl @p_16) :rule th_resolution :premises (a0 t6 t7))
+(step t8 (cl @p_16) :rule th_resolution :premises (axiom0 t6 t7))
 (anchor :step t9 :args ((:= (veriT_vr0 A$) veriT_vr1)))
 (step t9.t1 (cl (= veriT_vr0 veriT_vr1)) :rule refl)
 (step t9.t2 (cl (= @p_4 (! (p$ veriT_vr1) :named @p_17))) :rule cong :premises (t9.t1))
@@ -956,7 +956,7 @@
 (step t25 (cl (! (not @p_36) :named @p_40) (! (not @p_34) :named @p_38) @p_37) :rule equiv_pos2)
 (step t26 (cl (not @p_38) @p_39) :rule not_not)
 (step t27 (cl @p_40 @p_39 @p_37) :rule th_resolution :premises (t26 t25))
-(step t28 (cl @p_37) :rule th_resolution :premises (a1 t24 t27))
+(step t28 (cl @p_37) :rule th_resolution :premises (axiom1 t24 t27))
 (step t29 (cl (= @p_31 @p_41)) :rule not_simplify)
 (step t30 (cl (! (= @p_33 (! (ite @p_2 @p_41 @p_27) :named @p_43)) :named @p_42)) :rule cong :premises (t29))
 (step t31 (cl (not @p_42) (not @p_33) @p_43) :rule equiv_pos2)
@@ -967,9 +967,9 @@
 (step t36 (cl (or @p_30 @p_44)) :rule forall_inst :args ((:= veriT_vr2 x$)))
 (step t37 (cl @p_30 @p_44) :rule or :premises (t36))
 (step t38 (cl) :rule resolution :premises (t37 t34 t35))
-ccb9d5509f5273cf85143c83133df9d0fe59cf61 12 0
+3a011b0429bfc23b05e60ee65e41832adbfa1a5a 12 0
 unsat
-(assume a0 (! (not (! (= 3 3) :named @p_1)) :named @p_2))
+(assume axiom0 (! (not (! (= 3 3) :named @p_1)) :named @p_2))
 (step t2 (cl (= @p_1 true)) :rule eq_simplify)
 (step t3 (cl (= @p_2 (! (not true) :named @p_3))) :rule cong :premises (t2))
 (step t4 (cl (= @p_3 false)) :rule not_simplify)
@@ -977,12 +977,12 @@
 (step t6 (cl (! (not @p_4) :named @p_6) (! (not @p_2) :named @p_5) false) :rule equiv_pos2)
 (step t7 (cl (not @p_5) @p_1) :rule not_not)
 (step t8 (cl @p_6 @p_1 false) :rule th_resolution :premises (t7 t6))
-(step t9 (cl false) :rule th_resolution :premises (a0 t5 t8))
+(step t9 (cl false) :rule th_resolution :premises (axiom0 t5 t8))
 (step t10 (cl (not false)) :rule false)
 (step t11 (cl) :rule resolution :premises (t9 t10))
-fa126f313953bee2fb2b0380ecf176cbb28700f5 12 0
+ed9c8e3326f1e52cfa128cd451ceb8afc62fa2fc 12 0
 unsat
-(assume a0 (! (not (! (= 3.0 3.0) :named @p_1)) :named @p_2))
+(assume axiom0 (! (not (! (= 3.0 3.0) :named @p_1)) :named @p_2))
 (step t2 (cl (= @p_1 true)) :rule eq_simplify)
 (step t3 (cl (= @p_2 (! (not true) :named @p_3))) :rule cong :premises (t2))
 (step t4 (cl (= @p_3 false)) :rule not_simplify)
@@ -990,12 +990,22 @@
 (step t6 (cl (! (not @p_4) :named @p_6) (! (not @p_2) :named @p_5) false) :rule equiv_pos2)
 (step t7 (cl (not @p_5) @p_1) :rule not_not)
 (step t8 (cl @p_6 @p_1 false) :rule th_resolution :premises (t7 t6))
-(step t9 (cl false) :rule th_resolution :premises (a0 t5 t8))
+(step t9 (cl false) :rule th_resolution :premises (axiom0 t5 t8))
 (step t10 (cl (not false)) :rule false)
 (step t11 (cl) :rule resolution :premises (t9 t10))
-2b1aff746608c673784b02123c7a44746cecbe40 15 0
+1702d82a39b3f9713bf57e315ab761c4a81dbe59 9 0
 unsat
-(assume a0 (! (not (! (= (+ 3 1) 4) :named @p_1)) :named @p_3))
+(assume axiom0 (not (! (= (! (+ x$ (+ y$ z$)) :named @p_2) (! (+ y$ (+ z$ x$)) :named @p_3)) :named @p_1)))
+(step t2 (cl (or @p_1 (! (not (! (<= @p_2 @p_3) :named @p_6)) :named @p_4) (! (not (! (<= @p_3 @p_2) :named @p_7)) :named @p_5))) :rule la_disequality)
+(step t3 (cl @p_1 @p_4 @p_5) :rule or :premises (t2))
+(step t4 (cl @p_4 @p_5) :rule resolution :premises (t3 axiom0))
+(step t5 (cl @p_6) :rule la_generic :args (1))
+(step t6 (cl @p_5) :rule resolution :premises (t4 t5))
+(step t7 (cl @p_7) :rule la_generic :args (1))
+(step t8 (cl) :rule resolution :premises (t7 t6))
+ffb6c06c5ee6006629798f020d7438a4445f818d 15 0
+unsat
+(assume axiom0 (! (not (! (= (+ 3 1) 4) :named @p_1)) :named @p_3))
 (step t2 (cl @p_1) :rule sum_simplify)
 (step t3 (cl (= @p_1 (! (= 4 4) :named @p_2))) :rule cong :premises (t2))
 (step t4 (cl (= @p_2 true)) :rule eq_simplify)
@@ -1006,22 +1016,12 @@
 (step t9 (cl (! (not @p_5) :named @p_7) (! (not @p_3) :named @p_6) false) :rule equiv_pos2)
 (step t10 (cl (not @p_6) @p_1) :rule not_not)
 (step t11 (cl @p_7 @p_1 false) :rule th_resolution :premises (t10 t9))
-(step t12 (cl false) :rule th_resolution :premises (a0 t8 t11))
+(step t12 (cl false) :rule th_resolution :premises (axiom0 t8 t11))
 (step t13 (cl (not false)) :rule false)
 (step t14 (cl) :rule resolution :premises (t12 t13))
-c6b09353a7be5ebe2570119db169d6f24068d0d9 9 0
+dc0e836fbcd3ce41657a40fc20a29630682bbe52 18 0
 unsat
-(assume a0 (not (! (= (! (+ x$ (+ y$ z$)) :named @p_2) (! (+ y$ (+ z$ x$)) :named @p_3)) :named @p_1)))
-(step t2 (cl (or @p_1 (! (not (! (<= @p_2 @p_3) :named @p_6)) :named @p_4) (! (not (! (<= @p_3 @p_2) :named @p_7)) :named @p_5))) :rule la_disequality)
-(step t3 (cl @p_1 @p_4 @p_5) :rule or :premises (t2))
-(step t4 (cl @p_4 @p_5) :rule resolution :premises (t3 a0))
-(step t5 (cl @p_6) :rule la_generic :args (1))
-(step t6 (cl @p_5) :rule resolution :premises (t4 t5))
-(step t7 (cl @p_7) :rule la_generic :args (1))
-(step t8 (cl) :rule resolution :premises (t7 t6))
-91dfb7793d7cbf20aa8e7b00578ee445d34e2640 18 0
-unsat
-(assume a0 (! (not (! (< 5 (! (ite (! (<= 3 8) :named @p_1) 8 3) :named @p_2)) :named @p_4)) :named @p_6))
+(assume axiom0 (! (not (! (< 5 (! (ite (! (<= 3 8) :named @p_1) 8 3) :named @p_2)) :named @p_4)) :named @p_6))
 (step t2 (cl (= @p_1 true)) :rule comp_simplify)
 (step t3 (cl (= @p_2 (! (ite true 8 3) :named @p_3))) :rule cong :premises (t2))
 (step t4 (cl (= 8 @p_3)) :rule ite_simplify)
@@ -1035,17 +1035,17 @@
 (step t12 (cl (! (not @p_8) :named @p_10) (! (not @p_6) :named @p_9) false) :rule equiv_pos2)
 (step t13 (cl (not @p_9) @p_4) :rule not_not)
 (step t14 (cl @p_10 @p_4 false) :rule th_resolution :premises (t13 t12))
-(step t15 (cl false) :rule th_resolution :premises (a0 t11 t14))
+(step t15 (cl false) :rule th_resolution :premises (axiom0 t11 t14))
 (step t16 (cl (not false)) :rule false)
 (step t17 (cl) :rule resolution :premises (t15 t16))
-97cec8dc2da703d81d93c4024dc370fb1ecba1f5 52 0
+00e71b7773518acdf4ff42fd31ed0e8e2cc40c59 52 0
 unsat
-(assume a0 (! (not (! (<= (! (ite (! (< (! (+ x$ y$) :named @p_1) 0.0) :named @p_6) (! (- @p_1) :named @p_7) @p_1) :named @p_3) (+ (! (ite (! (< x$ 0.0) :named @p_8) (! (- x$) :named @p_9) x$) :named @p_4) (! (ite (! (< y$ 0.0) :named @p_10) (! (- y$) :named @p_11) y$) :named @p_5))) :named @p_15)) :named @p_2))
+(assume axiom0 (! (not (! (<= (! (ite (! (< (! (+ x$ y$) :named @p_1) 0.0) :named @p_6) (! (- @p_1) :named @p_7) @p_1) :named @p_3) (+ (! (ite (! (< x$ 0.0) :named @p_8) (! (- x$) :named @p_9) x$) :named @p_4) (! (ite (! (< y$ 0.0) :named @p_10) (! (- y$) :named @p_11) y$) :named @p_5))) :named @p_15)) :named @p_2))
 (step t2 (cl (! (= @p_2 (! (and (! (not (! (<= @p_3 (+ @p_4 @p_5)) :named @p_28)) :named @p_17) (! (ite @p_6 (! (= @p_7 @p_3) :named @p_20) (! (= @p_1 @p_3) :named @p_19)) :named @p_18) (! (ite @p_8 (! (= @p_9 @p_4) :named @p_23) (! (= x$ @p_4) :named @p_22)) :named @p_21) (! (ite @p_10 (! (= @p_11 @p_5) :named @p_26) (! (= y$ @p_5) :named @p_25)) :named @p_24)) :named @p_13)) :named @p_12)) :rule ite_intro)
 (step t3 (cl (! (not @p_12) :named @p_16) (! (not @p_2) :named @p_14) @p_13) :rule equiv_pos2)
 (step t4 (cl (not @p_14) @p_15) :rule not_not)
 (step t5 (cl @p_16 @p_15 @p_13) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_13) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_13) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl @p_17) :rule and :premises (t6))
 (step t8 (cl @p_18) :rule and :premises (t6))
 (step t9 (cl @p_6 @p_19) :rule ite1 :premises (t8))
@@ -1091,10 +1091,10 @@
 (step t49 (cl @p_19) :rule resolution :premises (t9 t48))
 (step t50 (cl @p_28 @p_36 @p_31 @p_29 @p_34) :rule la_generic :args (1.0 2.0 1 (- 1) (- 1)))
 (step t51 (cl) :rule resolution :premises (t50 t7 t49 t45 t46 t43))
-7769e70c7b5fc90175ef68eb5528034a2de273a9 19 0
+402dc6e98a3b5a465e12e6bcdd5fca0ae68d74d8 19 0
 unsat
-(assume a0 (not (= (p$ (! (< 2 3) :named @p_2)) (! (p$ true) :named @p_1))))
-(step t2 (cl (! (not (! (= @p_1 (! (ite @p_2 @p_1 (! (p$ false) :named @p_4)) :named @p_3)) :named @p_6)) :named @p_8)) :rule bfun_elim :premises (a0))
+(assume axiom0 (not (= (p$ (! (< 2 3) :named @p_2)) (! (p$ true) :named @p_1))))
+(step t2 (cl (! (not (! (= @p_1 (! (ite @p_2 @p_1 (! (p$ false) :named @p_4)) :named @p_3)) :named @p_6)) :named @p_8)) :rule bfun_elim :premises (axiom0))
 (step t3 (cl (= @p_2 true)) :rule comp_simplify)
 (step t4 (cl (= @p_3 (! (ite true @p_1 @p_4) :named @p_5))) :rule cong :premises (t3))
 (step t5 (cl (= @p_1 @p_5)) :rule ite_simplify)
@@ -1111,9 +1111,9 @@
 (step t16 (cl false) :rule th_resolution :premises (t2 t12 t15))
 (step t17 (cl (not false)) :rule false)
 (step t18 (cl) :rule resolution :premises (t16 t17))
-8efe160efd738ec7872179ed94f190d410e1ef4b 14 0
+ed3db2a47b567944ed8f84b91963c7783c1f6052 14 0
 unsat
-(assume a0 (! (not (! (or (! (<= 4 (! (+ x$ 3) :named @p_1)) :named @p_2) (! (< x$ 1) :named @p_6)) :named @p_4)) :named @p_7))
+(assume axiom0 (! (not (! (or (! (<= 4 (! (+ x$ 3) :named @p_1)) :named @p_2) (! (< x$ 1) :named @p_6)) :named @p_4)) :named @p_7))
 (step t2 (cl (= @p_1 (! (+ 3 x$) :named @p_3))) :rule sum_simplify)
 (step t3 (cl (= @p_2 (! (<= 4 @p_3) :named @p_5))) :rule cong :premises (t2))
 (step t4 (cl (= @p_4 (! (or @p_5 @p_6) :named @p_8))) :rule cong :premises (t3))
@@ -1121,26 +1121,26 @@
 (step t6 (cl (! (not @p_9) :named @p_12) (! (not @p_7) :named @p_11) @p_10) :rule equiv_pos2)
 (step t7 (cl (not @p_11) @p_4) :rule not_not)
 (step t8 (cl @p_12 @p_4 @p_10) :rule th_resolution :premises (t7 t6))
-(step t9 (cl @p_10) :rule th_resolution :premises (a0 t5 t8))
+(step t9 (cl @p_10) :rule th_resolution :premises (axiom0 t5 t8))
 (step t10 (cl (not @p_5)) :rule not_or :premises (t9))
 (step t11 (cl (not @p_6)) :rule not_or :premises (t9))
 (step t12 (cl @p_6 @p_5) :rule la_generic :args (1 1))
 (step t13 (cl) :rule resolution :premises (t12 t10 t11))
-2644c68299be3dd9fabbbba4920be4f3ffe3485b 9 0
+d2678f4fb6d818fd1c6e93a61560f2dfba8a9409 9 0
 unsat
-(assume a1 (! (= y$ (! (+ x$ 4) :named @p_1)) :named @p_2))
-(assume a2 (not (! (< 0 (- y$ x$)) :named @p_6)))
+(assume axiom1 (! (= y$ (! (+ x$ 4) :named @p_1)) :named @p_2))
+(assume axiom2 (not (! (< 0 (- y$ x$)) :named @p_6)))
 (step t3 (cl (= @p_1 (! (+ 4 x$) :named @p_3))) :rule sum_simplify)
 (step t4 (cl (! (= @p_2 (! (= y$ @p_3) :named @p_5)) :named @p_4)) :rule cong :premises (t3))
 (step t5 (cl (not @p_4) (not @p_2) @p_5) :rule equiv_pos2)
-(step t6 (cl @p_5) :rule th_resolution :premises (a1 t4 t5))
+(step t6 (cl @p_5) :rule th_resolution :premises (axiom1 t4 t5))
 (step t7 (cl @p_6 (not @p_5)) :rule la_generic :args (1 1))
-(step t8 (cl) :rule resolution :premises (t7 t6 a2))
-478778f1172d1db195bd4eb0883b9dd6613297c3 20 0
+(step t8 (cl) :rule resolution :premises (t7 t6 axiom2))
+4e88c3cf4e2da31d65e91a3805e3cea4a5a2813d 20 0
 unsat
-(assume a0 (! (not (! (not (! (= (! (+ 2 2) :named @p_3) 5) :named @p_2)) :named @p_5)) :named @p_1))
+(assume axiom0 (! (not (! (not (! (= (! (+ 2 2) :named @p_3) 5) :named @p_2)) :named @p_5)) :named @p_1))
 (step t2 (cl (! (not @p_1) :named @p_9) @p_2) :rule not_not)
-(step t3 (cl @p_2) :rule th_resolution :premises (t2 a0))
+(step t3 (cl @p_2) :rule th_resolution :premises (t2 axiom0))
 (step t4 (cl (= @p_3 4)) :rule sum_simplify)
 (step t5 (cl (= @p_2 (! (= 5 4) :named @p_4))) :rule cong :premises (t4))
 (step t6 (cl (= @p_4 false)) :rule eq_simplify)
@@ -1157,23 +1157,23 @@
 (step t17 (cl false) :rule th_resolution :premises (t3 t13 t16))
 (step t18 (cl @p_6) :rule false)
 (step t19 (cl) :rule resolution :premises (t17 t18))
-04820c02101d5d6a8a322ddf869652416ac9ae19 6 0
+3bbfe9f2086fe18bc1f9eeb965fef30f8b2c9daa 6 0
 unsat
-(assume a0 (! (< (+ (* 3 x$) (* 7 a$)) 4) :named @p_3))
-(assume a1 (! (< 3 (* 2 x$)) :named @p_1))
-(assume a2 (not (! (< a$ 0) :named @p_2)))
+(assume axiom0 (! (< (+ (* 3 x$) (* 7 a$)) 4) :named @p_3))
+(assume axiom1 (! (< 3 (* 2 x$)) :named @p_1))
+(assume axiom2 (not (! (< a$ 0) :named @p_2)))
 (step t4 (cl (not @p_1) @p_2 (not @p_3)) :rule la_generic :args ((div 3 2) 7 1))
-(step t5 (cl) :rule resolution :premises (t4 a0 a1 a2))
-699e547ad956b6867c5f571d9e08d46038579011 29 0
+(step t5 (cl) :rule resolution :premises (t4 axiom0 axiom1 axiom2))
+dbde8d1b71dac8b258507f86acdbe195bf64b2b7 29 0
 unsat
-(assume a0 (! (not (! (= (! (or (! (<= 0 (! (+ y$ (! (* (! (- 1) :named @p_14) x$) :named @p_15)) :named @p_16)) :named @p_3) (or (! (not (! (<= 0 x$) :named @p_1)) :named @p_4) @p_1)) :named @p_2) (! (not false) :named @p_7)) :named @p_5)) :named @p_8))
+(assume axiom0 (! (not (! (= (! (or (! (<= 0 (! (+ y$ (! (* (! (- 1) :named @p_14) x$) :named @p_15)) :named @p_16)) :named @p_3) (or (! (not (! (<= 0 x$) :named @p_1)) :named @p_4) @p_1)) :named @p_2) (! (not false) :named @p_7)) :named @p_5)) :named @p_8))
 (step t2 (cl (= @p_2 (! (or @p_3 @p_4 @p_1) :named @p_6))) :rule ac_simp)
 (step t3 (cl (= @p_5 (! (= @p_6 @p_7) :named @p_9))) :rule cong :premises (t2))
 (step t4 (cl (! (= @p_8 (! (not @p_9) :named @p_11)) :named @p_10)) :rule cong :premises (t3))
 (step t5 (cl (! (not @p_10) :named @p_13) (! (not @p_8) :named @p_12) @p_11) :rule equiv_pos2)
 (step t6 (cl (not @p_12) @p_5) :rule not_not)
 (step t7 (cl @p_13 @p_5 @p_11) :rule th_resolution :premises (t6 t5))
-(step t8 (cl @p_11) :rule th_resolution :premises (a0 t4 t7))
+(step t8 (cl @p_11) :rule th_resolution :premises (axiom0 t4 t7))
 (step t9 (cl (= @p_14 (- 1))) :rule minus_simplify)
 (step t10 (cl (= @p_15 (! (* (- 1) x$) :named @p_17))) :rule cong :premises (t9))
 (step t11 (cl (= @p_16 (! (+ y$ @p_17) :named @p_18))) :rule cong :premises (t10))
@@ -1194,15 +1194,37 @@
 (step t26 (cl false) :rule th_resolution :premises (t8 t22 t25))
 (step t27 (cl @p_7) :rule false)
 (step t28 (cl) :rule resolution :premises (t26 t27))
-bf46578ff4814695a5afd6f19836b2d606a6b97c 62 0
+d6ba634ec42000181b77274dd94c91d844cf476e 21 0
 unsat
-(assume a0 (! (not (! (or (! (and (! (< n$ m$) :named @p_1) (! (< m$ n$a) :named @p_3)) :named @p_11) (or (! (and @p_1 (! (= m$ n$a) :named @p_6)) :named @p_12) (or (! (and (! (< n$ n$a) :named @p_8) (! (< n$a m$) :named @p_2)) :named @p_13) (or (! (and (! (= n$ n$a) :named @p_5) @p_2) :named @p_14) (or (! (and (! (= n$ m$) :named @p_4) @p_3) :named @p_15) (or (! (and @p_2 (! (< m$ n$) :named @p_7)) :named @p_16) (or (! (and @p_2 @p_4) :named @p_17) (or (! (and (! (< n$a n$) :named @p_9) @p_1) :named @p_18) (or (! (and @p_5 @p_1) :named @p_19) (or (! (and @p_6 @p_7) :named @p_20) (or (! (and @p_7 @p_8) :named @p_21) (or (! (and @p_7 @p_5) :named @p_22) (or (! (and @p_3 @p_9) :named @p_23) (or (! (and @p_4 @p_8) :named @p_24) (or (! (and @p_6 @p_9) :named @p_25) (! (and @p_6 @p_4) :named @p_26)))))))))))))))) :named @p_10)) :named @p_27))
+(assume axiom0 (! (not (! (or (! (< (! (+ x$ x$) :named @p_11) (! (+ (! (* 2.0 x$) :named @p_10) 1.0) :named @p_9)) :named @p_1) (or false @p_1)) :named @p_2)) :named @p_3))
+(step t2 (cl (= @p_2 (! (or @p_1 false) :named @p_4))) :rule ac_simp)
+(step t3 (cl (! (= @p_3 (! (not @p_4) :named @p_6)) :named @p_5)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_5) :named @p_8) (! (not @p_3) :named @p_7) @p_6) :rule equiv_pos2)
+(step t5 (cl (not @p_7) @p_2) :rule not_not)
+(step t6 (cl @p_8 @p_2 @p_6) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_6) :rule th_resolution :premises (axiom0 t3 t6))
+(step t8 (cl (= @p_9 (! (+ 1.0 @p_10) :named @p_12))) :rule sum_simplify)
+(step t9 (cl (= @p_1 (! (< @p_11 @p_12) :named @p_13))) :rule cong :premises (t8))
+(step t10 (cl (= @p_4 (! (or @p_13 false) :named @p_14))) :rule cong :premises (t9))
+(step t11 (cl (= @p_14 (! (or @p_13) :named @p_15))) :rule or_simplify)
+(step t12 (cl (= @p_15 @p_13)) :rule or_simplify)
+(step t13 (cl (= @p_4 @p_13)) :rule trans :premises (t10 t11 t12))
+(step t14 (cl (! (= @p_6 (! (not @p_13) :named @p_17)) :named @p_16)) :rule cong :premises (t13))
+(step t15 (cl (! (not @p_16) :named @p_19) (! (not @p_6) :named @p_18) @p_17) :rule equiv_pos2)
+(step t16 (cl (not @p_18) @p_4) :rule not_not)
+(step t17 (cl @p_19 @p_4 @p_17) :rule th_resolution :premises (t16 t15))
+(step t18 (cl @p_17) :rule th_resolution :premises (t7 t14 t17))
+(step t19 (cl @p_13) :rule la_tautology)
+(step t20 (cl) :rule resolution :premises (t19 t18))
[phone]b84a23b6c0020065f8c8597823332a77 62 0
+unsat
+(assume axiom0 (! (not (! (or (! (and (! (< n$ m$) :named @p_1) (! (< m$ n$a) :named @p_3)) :named @p_11) (or (! (and @p_1 (! (= m$ n$a) :named @p_6)) :named @p_12) (or (! (and (! (< n$ n$a) :named @p_8) (! (< n$a m$) :named @p_2)) :named @p_13) (or (! (and (! (= n$ n$a) :named @p_5) @p_2) :named @p_14) (or (! (and (! (= n$ m$) :named @p_4) @p_3) :named @p_15) (or (! (and @p_2 (! (< m$ n$) :named @p_7)) :named @p_16) (or (! (and @p_2 @p_4) :named @p_17) (or (! (and (! (< n$a n$) :named @p_9) @p_1) :named @p_18) (or (! (and @p_5 @p_1) :named @p_19) (or (! (and @p_6 @p_7) :named @p_20) (or (! (and @p_7 @p_8) :named @p_21) (or (! (and @p_7 @p_5) :named @p_22) (or (! (and @p_3 @p_9) :named @p_23) (or (! (and @p_4 @p_8) :named @p_24) (or (! (and @p_6 @p_9) :named @p_25) (! (and @p_6 @p_4) :named @p_26)))))))))))))))) :named @p_10)) :named @p_27))
 (step t2 (cl (= @p_10 (! (or @p_11 @p_12 @p_13 @p_14 @p_15 @p_16 @p_17 @p_18 @p_19 @p_20 @p_21 @p_22 @p_23 @p_24 @p_25 @p_26) :named @p_28))) :rule ac_simp)
 (step t3 (cl (! (= @p_27 (! (not @p_28) :named @p_30)) :named @p_29)) :rule cong :premises (t2))
 (step t4 (cl (! (not @p_29) :named @p_32) (! (not @p_27) :named @p_31) @p_30) :rule equiv_pos2)
 (step t5 (cl (not @p_31) @p_10) :rule not_not)
 (step t6 (cl @p_32 @p_10 @p_30) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_30) :rule th_resolution :premises (a0 t3 t6))
+(step t7 (cl @p_30) :rule th_resolution :premises (axiom0 t3 t6))
 (step t8 (cl (not @p_11)) :rule not_or :premises (t7))
 (step t9 (cl (! (not @p_1) :named @p_33) (! (not @p_3) :named @p_38)) :rule not_and :premises (t8))
 (step t10 (cl (not @p_12)) :rule not_or :premises (t7))
@@ -1257,14 +1279,253 @@
 (step t59 (cl @p_40) :rule resolution :premises (t17 t57))
 (step t60 (cl @p_50) :rule resolution :premises (t42 t58))
 (step t61 (cl) :rule resolution :premises (t35 t59 t54 t60))
-4aba1ea4675669f505d0a9484fd751da13811782 371 0
+ce9ae392bbb004278cf4005c9cdc4ec6dc2c6c3e 16 0
+unsat
+(assume axiom0 (! (not (! (not (! (exists ((?v0 Real)) false) :named @p_2)) :named @p_3)) :named @p_1))
+(step t2 (cl (! (not @p_1) :named @p_6) @p_2) :rule not_not)
+(step t3 (cl @p_2) :rule th_resolution :premises (t2 axiom0))
+(step t4 (cl (= @p_2 false)) :rule qnt_rm_unused)
+(step t5 (cl (= @p_3 (! (not false) :named @p_4))) :rule cong :premises (t4))
+(step t6 (cl (! (= @p_1 (! (not @p_4) :named @p_7)) :named @p_5)) :rule cong :premises (t5))
+(step t7 (cl (! (not @p_5) :named @p_8) @p_6 @p_7) :rule equiv_pos2)
+(step t8 (cl (not @p_6) @p_3) :rule not_not)
+(step t9 (cl @p_8 @p_3 @p_7) :rule th_resolution :premises (t8 t7))
+(step t10 (cl (not @p_7) false) :rule not_not)
+(step t11 (cl @p_8 @p_3 false) :rule th_resolution :premises (t10 t9))
+(step t12 (cl @p_7) :rule th_resolution :premises (t3 t6 t11))
+(step t13 (cl false) :rule th_resolution :premises (t10 t12))
+(step t14 (cl @p_4) :rule false)
+(step t15 (cl) :rule resolution :premises (t13 t14))
+be1ac1d3f1b32c69d4c86a7bb2fc544d58daa87d 16 0
+unsat
+(assume axiom0 (! (not (! (not (! (exists ((?v0 Int)) false) :named @p_2)) :named @p_3)) :named @p_1))
+(step t2 (cl (! (not @p_1) :named @p_6) @p_2) :rule not_not)
+(step t3 (cl @p_2) :rule th_resolution :premises (t2 axiom0))
+(step t4 (cl (= @p_2 false)) :rule qnt_rm_unused)
+(step t5 (cl (= @p_3 (! (not false) :named @p_4))) :rule cong :premises (t4))
+(step t6 (cl (! (= @p_1 (! (not @p_4) :named @p_7)) :named @p_5)) :rule cong :premises (t5))
+(step t7 (cl (! (not @p_5) :named @p_8) @p_6 @p_7) :rule equiv_pos2)
+(step t8 (cl (not @p_6) @p_3) :rule not_not)
+(step t9 (cl @p_8 @p_3 @p_7) :rule th_resolution :premises (t8 t7))
+(step t10 (cl (not @p_7) false) :rule not_not)
+(step t11 (cl @p_8 @p_3 false) :rule th_resolution :premises (t10 t9))
+(step t12 (cl @p_7) :rule th_resolution :premises (t3 t6 t11))
+(step t13 (cl false) :rule th_resolution :premises (t10 t12))
+(step t14 (cl @p_4) :rule false)
+(step t15 (cl) :rule resolution :premises (t13 t14))
+7c2862b95580cb7e81a355724e88267dce92987c 44 0
+unsat
+(assume axiom0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (=> (! (and (! (= 0 ?v0) :named @p_2) (! (= 1 ?v1) :named @p_4)) :named @p_6) (! (not (! (= ?v0 ?v1) :named @p_8)) :named @p_10)) :named @p_12)) :named @p_1)) :named @p_14))
+(anchor :step t2 :args ((:= (?v0 Int) 0) (:= (?v1 Int) 1)))
+(step t2.t1 (cl @p_2) :rule refl)
+(step t2.t2 (cl (= @p_2 (! (= 0 0) :named @p_3))) :rule cong :premises (t2.t1))
+(step t2.t3 (cl @p_4) :rule refl)
+(step t2.t4 (cl (= @p_4 (! (= 1 1) :named @p_5))) :rule cong :premises (t2.t3))
+(step t2.t5 (cl (= @p_6 (! (and @p_3 @p_5) :named @p_7))) :rule cong :premises (t2.t2 t2.t4))
+(step t2.t6 (cl @p_2) :rule refl)
+(step t2.t7 (cl @p_4) :rule refl)
+(step t2.t8 (cl (= @p_8 (! (= 0 1) :named @p_9))) :rule cong :premises (t2.t6 t2.t7))
+(step t2.t9 (cl (= @p_10 (! (not @p_9) :named @p_11))) :rule cong :premises (t2.t8))
+(step t2.t10 (cl (= @p_12 (! (=> @p_7 @p_11) :named @p_13))) :rule cong :premises (t2.t5 t2.t9))
+(step t2 (cl (= @p_1 @p_13)) :rule onepoint)
+(step t3 (cl (! (= @p_14 (! (not @p_13) :named @p_16)) :named @p_15)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_15) :named @p_18) (! (not @p_14) :named @p_17) @p_16) :rule equiv_pos2)
+(step t5 (cl (not @p_17) @p_1) :rule not_not)
+(step t6 (cl @p_18 @p_1 @p_16) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_16) :rule th_resolution :premises (axiom0 t3 t6))
+(step t8 (cl (! (= @p_16 (! (and @p_7 (! (not @p_11) :named @p_23)) :named @p_20)) :named @p_19)) :rule bool_simplify)
+(step t9 (cl (! (not @p_19) :named @p_22) (! (not @p_16) :named @p_21) @p_20) :rule equiv_pos2)
+(step t10 (cl (not @p_21) @p_13) :rule not_not)
+(step t11 (cl @p_22 @p_13 @p_20) :rule th_resolution :premises (t10 t9))
+(step t12 (cl @p_20) :rule th_resolution :premises (t7 t8 t11))
+(step t13 (cl (! (= @p_20 (! (and @p_3 @p_5 @p_23) :named @p_25)) :named @p_24)) :rule ac_simp)
+(step t14 (cl (not @p_24) (not @p_20) @p_25) :rule equiv_pos2)
+(step t15 (cl @p_25) :rule th_resolution :premises (t12 t13 t14))
+(step t16 (cl (= @p_3 true)) :rule eq_simplify)
+(step t17 (cl (= @p_5 true)) :rule eq_simplify)
+(step t18 (cl (= @p_9 false)) :rule eq_simplify)
+(step t19 (cl (= @p_11 (! (not false) :named @p_26))) :rule cong :premises (t18))
+(step t20 (cl (= @p_26 true)) :rule not_simplify)
+(step t21 (cl (= @p_11 true)) :rule trans :premises (t19 t20))
+(step t22 (cl (= @p_23 (! (not true) :named @p_27))) :rule cong :premises (t21))
+(step t23 (cl (= @p_27 false)) :rule not_simplify)
+(step t24 (cl (= @p_23 false)) :rule trans :premises (t22 t23))
+(step t25 (cl (= @p_25 (! (and true true false) :named @p_28))) :rule cong :premises (t16 t17 t24))
+(step t26 (cl (= @p_28 (! (and false) :named @p_29))) :rule and_simplify)
+(step t27 (cl (= @p_29 false)) :rule and_simplify)
+(step t28 (cl (! (= @p_25 false) :named @p_30)) :rule trans :premises (t25 t26 t27))
+(step t29 (cl (not @p_30) (not @p_25) false) :rule equiv_pos2)
+(step t30 (cl false) :rule th_resolution :premises (t15 t28 t29))
+(step t31 (cl @p_26) :rule false)
+(step t32 (cl) :rule resolution :premises (t30 t31))
+632d72943748607b3a6a192dc119caef23e9e71d 74 0
 unsat
-(assume a0 (! (not (! (=> (! (and (! (= x3$ (- (! (ite (! (< x2$ 0) :named @p_30) (! (- x2$) :named @p_31) x2$) :named @p_21) x1$)) :named @p_9) (and (! (= x4$ (- (! (ite (! (< x3$ 0) :named @p_32) (! (- x3$) :named @p_33) x3$) :named @p_22) x2$)) :named @p_10) (and (! (= x5$ (- (! (ite (! (< x4$ 0) :named @p_34) (! (- x4$) :named @p_35) x4$) :named @p_23) x3$)) :named @p_11) (and (! (= x6$ (- (! (ite (! (< x5$ 0) :named @p_36) (! (- x5$) :named @p_37) x5$) :named @p_24) x4$)) :named @p_12) (and (! (= x7$ (- (! (ite (! (< x6$ 0) :named @p_38) (! (- x6$) :named @p_39) x6$) :named @p_25) x5$)) :named @p_13) (and (! (= x8$ (- (! (ite (! (< x7$ 0) :named @p_40) (! (- x7$) :named @p_41) x7$) :named @p_26) x6$)) :named @p_14) (and (! (= x9$ (- (! (ite (! (< x8$ 0) :named @p_42) (! (- x8$) :named @p_43) x8$) :named @p_27) x7$)) :named @p_15) (and (! (= x10$ (- (! (ite (! (< x9$ 0) :named @p_44) (! (- x9$) :named @p_45) x9$) :named @p_28) x8$)) :named @p_16) (! (= x11$ (- (! (ite (! (< x10$ 0) :named @p_46) (! (- x10$) :named @p_47) x10$) :named @p_29) x9$)) :named @p_17))))))))) :named @p_2) (! (and (! (= x1$ x10$) :named @p_70) (! (= x2$ x11$) :named @p_71)) :named @p_3)) :named @p_7)) :named @p_1))
+(define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Int)) (! (=> (! (< veriT_vr2 veriT_vr3) :named @p_30) (! (< (! (+ 1 (! (* 2 veriT_vr2) :named @p_32)) :named @p_33) (! (* 2 veriT_vr3) :named @p_35)) :named @p_36)) :named @p_37)))) :named @p_43))
+(define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (=> (< @p_43 veriT_vr3) (< (+ 1 (* 2 @p_43)) @p_35)))) :named @p_44))
+(assume axiom0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (=> (! (< ?v0 ?v1) :named @p_2) (! (< (! (+ (! (* 2 ?v0) :named @p_5) 1) :named @p_7) (! (* 2 ?v1) :named @p_10)) :named @p_12)) :named @p_14)) :named @p_1)) :named @p_16))
+(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0) (:= (?v1 Int) veriT_vr1)))
+(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
+(step t2.t2 (cl (! (= ?v1 veriT_vr1) :named @p_9)) :rule refl)
+(step t2.t3 (cl (= @p_2 (! (< veriT_vr0 veriT_vr1) :named @p_3))) :rule cong :premises (t2.t1 t2.t2))
+(step t2.t4 (cl @p_4) :rule refl)
+(step t2.t5 (cl (= @p_5 (! (* 2 veriT_vr0) :named @p_6))) :rule cong :premises (t2.t4))
+(step t2.t6 (cl (= @p_7 (! (+ @p_6 1) :named @p_8))) :rule cong :premises (t2.t5))
+(step t2.t7 (cl @p_9) :rule refl)
+(step t2.t8 (cl (= @p_10 (! (* 2 veriT_vr1) :named @p_11))) :rule cong :premises (t2.t7))
+(step t2.t9 (cl (= @p_12 (! (< @p_8 @p_11) :named @p_13))) :rule cong :premises (t2.t6 t2.t8))
+(step t2.t10 (cl (= @p_14 (! (=> @p_3 @p_13) :named @p_15))) :rule cong :premises (t2.t3 t2.t9))
+(step t2 (cl (= @p_1 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_15) :named @p_17))) :rule bind)
+(step t3 (cl (! (= @p_16 (! (not @p_17) :named @p_19)) :named @p_18)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_18) :named @p_21) (! (not @p_16) :named @p_20) @p_19) :rule equiv_pos2)
+(step t5 (cl (not @p_20) @p_1) :rule not_not)
+(step t6 (cl @p_21 @p_1 @p_19) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_19) :rule th_resolution :premises (axiom0 t3 t6))
+(anchor :step t8 :args ((veriT_vr0 Int) (veriT_vr1 Int)))
+(step t8.t1 (cl (= @p_8 (! (+ 1 @p_6) :named @p_22))) :rule sum_simplify)
+(step t8.t2 (cl (= @p_13 (! (< @p_22 @p_11) :named @p_23))) :rule cong :premises (t8.t1))
+(step t8.t3 (cl (= @p_15 (! (=> @p_3 @p_23) :named @p_24))) :rule cong :premises (t8.t2))
+(step t8 (cl (= @p_17 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_24) :named @p_25))) :rule bind)
+(step t9 (cl (! (= @p_19 (! (not @p_25) :named @p_27)) :named @p_26)) :rule cong :premises (t8))
+(step t10 (cl (! (not @p_26) :named @p_29) (! (not @p_19) :named @p_28) @p_27) :rule equiv_pos2)
+(step t11 (cl (not @p_28) @p_17) :rule not_not)
+(step t12 (cl @p_29 @p_17 @p_27) :rule th_resolution :premises (t11 t10))
+(step t13 (cl @p_27) :rule th_resolution :premises (t7 t9 t12))
+(anchor :step t14 :args ((:= (veriT_vr0 Int) veriT_vr2) (:= (veriT_vr1 Int) veriT_vr3)))
+(step t14.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_31)) :rule refl)
+(step t14.t2 (cl (! (= veriT_vr1 veriT_vr3) :named @p_34)) :rule refl)
+(step t14.t3 (cl (= @p_3 @p_30)) :rule cong :premises (t14.t1 t14.t2))
+(step t14.t4 (cl @p_31) :rule refl)
+(step t14.t5 (cl (= @p_6 @p_32)) :rule cong :premises (t14.t4))
+(step t14.t6 (cl (= @p_22 @p_33)) :rule cong :premises (t14.t5))
+(step t14.t7 (cl @p_34) :rule refl)
+(step t14.t8 (cl (= @p_11 @p_35)) :rule cong :premises (t14.t7))
+(step t14.t9 (cl (= @p_23 @p_36)) :rule cong :premises (t14.t6 t14.t8))
+(step t14.t10 (cl (= @p_24 @p_37)) :rule cong :premises (t14.t3 t14.t9))
+(step t14 (cl (= @p_25 (! (forall ((veriT_vr2 Int) (veriT_vr3 Int)) @p_37) :named @p_38))) :rule bind)
+(step t15 (cl (! (= @p_27 (! (not @p_38) :named @p_40)) :named @p_39)) :rule cong :premises (t14))
+(step t16 (cl (! (not @p_39) :named @p_42) (! (not @p_27) :named @p_41) @p_40) :rule equiv_pos2)
+(step t17 (cl (not @p_41) @p_25) :rule not_not)
+(step t18 (cl @p_42 @p_25 @p_40) :rule th_resolution :premises (t17 t16))
+(step t19 (cl @p_40) :rule th_resolution :premises (t13 t15 t18))
+(anchor :step t20 :args ((:= (veriT_vr2 Int) veriT_sk0) (:= (veriT_vr3 Int) veriT_sk1)))
+(step t20.t1 (cl (! (= veriT_vr2 veriT_sk0) :named @p_46)) :rule refl)
+(step t20.t2 (cl (! (= veriT_vr3 veriT_sk1) :named @p_49)) :rule refl)
+(step t20.t3 (cl (= @p_30 (! (< veriT_sk0 veriT_sk1) :named @p_45))) :rule cong :premises (t20.t1 t20.t2))
+(step t20.t4 (cl @p_46) :rule refl)
+(step t20.t5 (cl (= @p_32 (! (* 2 veriT_sk0) :named @p_47))) :rule cong :premises (t20.t4))
+(step t20.t6 (cl (= @p_33 (! (+ 1 @p_47) :named @p_48))) :rule cong :premises (t20.t5))
+(step t20.t7 (cl @p_49) :rule refl)
+(step t20.t8 (cl (= @p_35 (! (* 2 veriT_sk1) :named @p_50))) :rule cong :premises (t20.t7))
+(step t20.t9 (cl (= @p_36 (! (< @p_48 @p_50) :named @p_51))) :rule cong :premises (t20.t6 t20.t8))
+(step t20.t10 (cl (= @p_37 (! (=> @p_45 @p_51) :named @p_52))) :rule cong :premises (t20.t3 t20.t9))
+(step t20 (cl (= @p_38 @p_52)) :rule sko_forall)
+(step t21 (cl (! (= @p_40 (! (not @p_52) :named @p_54)) :named @p_53)) :rule cong :premises (t20))
+(step t22 (cl (! (not @p_53) :named @p_56) (! (not @p_40) :named @p_55) @p_54) :rule equiv_pos2)
+(step t23 (cl (not @p_55) @p_38) :rule not_not)
+(step t24 (cl @p_56 @p_38 @p_54) :rule th_resolution :premises (t23 t22))
+(step t25 (cl @p_54) :rule th_resolution :premises (t19 t21 t24))
+(step t26 (cl (! (= @p_54 (! (and @p_45 (! (not @p_51) :named @p_61)) :named @p_58)) :named @p_57)) :rule bool_simplify)
+(step t27 (cl (! (not @p_57) :named @p_60) (! (not @p_54) :named @p_59) @p_58) :rule equiv_pos2)
+(step t28 (cl (not @p_59) @p_52) :rule not_not)
+(step t29 (cl @p_60 @p_52 @p_58) :rule th_resolution :premises (t28 t27))
+(step t30 (cl @p_58) :rule th_resolution :premises (t25 t26 t29))
+(step t31 (cl @p_45) :rule and :premises (t30))
+(step t32 (cl @p_61) :rule and :premises (t30))
+(step t33 (cl @p_51 (not @p_45)) :rule la_generic :args ((div 1 2) 1))
+(step t34 (cl) :rule resolution :premises (t33 t31 t32))
+b3000c2a2d0d57028ec3d5228440616f9e6398d4 84 0
+unsat
+(define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Int)) (! (or (! (< 2 (! (+ veriT_vr2 veriT_vr3) :named @p_29)) :named @p_30) (! (= 2 @p_29) :named @p_34) (! (< @p_29 2) :named @p_35)) :named @p_36)))) :named @p_42))
+(define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (or (< 2 (! (+ @p_42 veriT_vr3) :named @p_43)) (= 2 @p_43) (< @p_43 2)))) :named @p_45))
+(assume axiom0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (or (! (< 2 (! (+ ?v0 ?v1) :named @p_1)) :named @p_4) (! (or (! (= 2 @p_1) :named @p_9) (! (< @p_1 2) :named @p_11)) :named @p_13)) :named @p_15)) :named @p_2)) :named @p_17))
+(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0) (:= (?v1 Int) veriT_vr1)))
+(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_6)) :rule refl)
+(step t2.t2 (cl (! (= ?v1 veriT_vr1) :named @p_7)) :rule refl)
+(step t2.t3 (cl (! (= @p_1 (! (+ veriT_vr0 veriT_vr1) :named @p_3)) :named @p_8)) :rule cong :premises (t2.t1 t2.t2))
+(step t2.t4 (cl (= @p_4 (! (< 2 @p_3) :named @p_5))) :rule cong :premises (t2.t3))
+(step t2.t5 (cl @p_6) :rule refl)
+(step t2.t6 (cl @p_7) :rule refl)
+(step t2.t7 (cl @p_8) :rule cong :premises (t2.t5 t2.t6))
+(step t2.t8 (cl (= @p_9 (! (= 2 @p_3) :named @p_10))) :rule cong :premises (t2.t7))
+(step t2.t9 (cl @p_6) :rule refl)
+(step t2.t10 (cl @p_7) :rule refl)
+(step t2.t11 (cl @p_8) :rule cong :premises (t2.t9 t2.t10))
+(step t2.t12 (cl (= @p_11 (! (< @p_3 2) :named @p_12))) :rule cong :premises (t2.t11))
+(step t2.t13 (cl (= @p_13 (! (or @p_10 @p_12) :named @p_14))) :rule cong :premises (t2.t8 t2.t12))
+(step t2.t14 (cl (= @p_15 (! (or @p_5 @p_14) :named @p_16))) :rule cong :premises (t2.t4 t2.t13))
+(step t2 (cl (= @p_2 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_16) :named @p_18))) :rule bind)
+(step t3 (cl (! (= @p_17 (! (not @p_18) :named @p_20)) :named @p_19)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_19) :named @p_22) (! (not @p_17) :named @p_21) @p_20) :rule equiv_pos2)
+(step t5 (cl (not @p_21) @p_2) :rule not_not)
+(step t6 (cl @p_22 @p_2 @p_20) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_20) :rule th_resolution :premises (axiom0 t3 t6))
+(anchor :step t8 :args ((veriT_vr0 Int) (veriT_vr1 Int)))
+(step t8.t1 (cl (= @p_16 (! (or @p_5 @p_10 @p_12) :named @p_23))) :rule ac_simp)
+(step t8 (cl (= @p_18 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_23) :named @p_24))) :rule bind)
+(step t9 (cl (! (= @p_20 (! (not @p_24) :named @p_26)) :named @p_25)) :rule cong :premises (t8))
+(step t10 (cl (! (not @p_25) :named @p_28) (! (not @p_20) :named @p_27) @p_26) :rule equiv_pos2)
+(step t11 (cl (not @p_27) @p_18) :rule not_not)
+(step t12 (cl @p_28 @p_18 @p_26) :rule th_resolution :premises (t11 t10))
+(step t13 (cl @p_26) :rule th_resolution :premises (t7 t9 t12))
+(anchor :step t14 :args ((:= (veriT_vr0 Int) veriT_vr2) (:= (veriT_vr1 Int) veriT_vr3)))
+(step t14.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_31)) :rule refl)
+(step t14.t2 (cl (! (= veriT_vr1 veriT_vr3) :named @p_32)) :rule refl)
+(step t14.t3 (cl (! (= @p_3 @p_29) :named @p_33)) :rule cong :premises (t14.t1 t14.t2))
+(step t14.t4 (cl (= @p_5 @p_30)) :rule cong :premises (t14.t3))
+(step t14.t5 (cl @p_31) :rule refl)
+(step t14.t6 (cl @p_32) :rule refl)
+(step t14.t7 (cl @p_33) :rule cong :premises (t14.t5 t14.t6))
+(step t14.t8 (cl (= @p_10 @p_34)) :rule cong :premises (t14.t7))
+(step t14.t9 (cl @p_31) :rule refl)
+(step t14.t10 (cl @p_32) :rule refl)
+(step t14.t11 (cl @p_33) :rule cong :premises (t14.t9 t14.t10))
+(step t14.t12 (cl (= @p_12 @p_35)) :rule cong :premises (t14.t11))
+(step t14.t13 (cl (= @p_23 @p_36)) :rule cong :premises (t14.t4 t14.t8 t14.t12))
+(step t14 (cl (= @p_24 (! (forall ((veriT_vr2 Int) (veriT_vr3 Int)) @p_36) :named @p_37))) :rule bind)
+(step t15 (cl (! (= @p_26 (! (not @p_37) :named @p_39)) :named @p_38)) :rule cong :premises (t14))
+(step t16 (cl (! (not @p_38) :named @p_41) (! (not @p_26) :named @p_40) @p_39) :rule equiv_pos2)
+(step t17 (cl (not @p_40) @p_24) :rule not_not)
+(step t18 (cl @p_41 @p_24 @p_39) :rule th_resolution :premises (t17 t16))
+(step t19 (cl @p_39) :rule th_resolution :premises (t13 t15 t18))
+(anchor :step t20 :args ((:= (veriT_vr2 Int) veriT_sk0) (:= (veriT_vr3 Int) veriT_sk1)))
+(step t20.t1 (cl (! (= veriT_vr2 veriT_sk0) :named @p_47)) :rule refl)
+(step t20.t2 (cl (! (= veriT_vr3 veriT_sk1) :named @p_48)) :rule refl)
+(step t20.t3 (cl (! (= @p_29 (! (+ veriT_sk0 veriT_sk1) :named @p_44)) :named @p_49)) :rule cong :premises (t20.t1 t20.t2))
+(step t20.t4 (cl (= @p_30 (! (< 2 @p_44) :named @p_46))) :rule cong :premises (t20.t3))
+(step t20.t5 (cl @p_47) :rule refl)
+(step t20.t6 (cl @p_48) :rule refl)
+(step t20.t7 (cl @p_49) :rule cong :premises (t20.t5 t20.t6))
+(step t20.t8 (cl (= @p_34 (! (= 2 @p_44) :named @p_50))) :rule cong :premises (t20.t7))
+(step t20.t9 (cl @p_47) :rule refl)
+(step t20.t10 (cl @p_48) :rule refl)
+(step t20.t11 (cl @p_49) :rule cong :premises (t20.t9 t20.t10))
+(step t20.t12 (cl (= @p_35 (! (< @p_44 2) :named @p_51))) :rule cong :premises (t20.t11))
+(step t20.t13 (cl (= @p_36 (! (or @p_46 @p_50 @p_51) :named @p_52))) :rule cong :premises (t20.t4 t20.t8 t20.t12))
+(step t20 (cl (= @p_37 @p_52)) :rule sko_forall)
+(step t21 (cl (! (= @p_39 (! (not @p_52) :named @p_54)) :named @p_53)) :rule cong :premises (t20))
+(step t22 (cl (! (not @p_53) :named @p_56) (! (not @p_39) :named @p_55) @p_54) :rule equiv_pos2)
+(step t23 (cl (not @p_55) @p_37) :rule not_not)
+(step t24 (cl @p_56 @p_37 @p_54) :rule th_resolution :premises (t23 t22))
+(step t25 (cl @p_54) :rule th_resolution :premises (t19 t21 t24))
+(step t26 (cl (not @p_46)) :rule not_or :premises (t25))
+(step t27 (cl (not @p_50)) :rule not_or :premises (t25))
+(step t28 (cl (not @p_51)) :rule not_or :premises (t25))
+(step t29 (cl (or @p_50 (! (not (! (<= 2 @p_44) :named @p_59)) :named @p_57) (! (not (! (<= @p_44 2) :named @p_60)) :named @p_58))) :rule la_disequality)
+(step t30 (cl @p_50 @p_57 @p_58) :rule or :premises (t29))
+(step t31 (cl @p_57 @p_58) :rule resolution :premises (t30 t27))
+(step t32 (cl @p_59 @p_51) :rule la_generic :args (1 1))
+(step t33 (cl @p_59) :rule resolution :premises (t32 t28))
+(step t34 (cl @p_58) :rule resolution :premises (t31 t33))
+(step t35 (cl @p_60 @p_46) :rule la_generic :args (1 1))
+(step t36 (cl) :rule resolution :premises (t35 t26 t34))
+ea93df392983d8a481a89ee529b9a9f976280447 371 0
+unsat
+(assume axiom0 (! (not (! (=> (! (and (! (= x3$ (- (! (ite (! (< x2$ 0) :named @p_30) (! (- x2$) :named @p_31) x2$) :named @p_21) x1$)) :named @p_9) (and (! (= x4$ (- (! (ite (! (< x3$ 0) :named @p_32) (! (- x3$) :named @p_33) x3$) :named @p_22) x2$)) :named @p_10) (and (! (= x5$ (- (! (ite (! (< x4$ 0) :named @p_34) (! (- x4$) :named @p_35) x4$) :named @p_23) x3$)) :named @p_11) (and (! (= x6$ (- (! (ite (! (< x5$ 0) :named @p_36) (! (- x5$) :named @p_37) x5$) :named @p_24) x4$)) :named @p_12) (and (! (= x7$ (- (! (ite (! (< x6$ 0) :named @p_38) (! (- x6$) :named @p_39) x6$) :named @p_25) x5$)) :named @p_13) (and (! (= x8$ (- (! (ite (! (< x7$ 0) :named @p_40) (! (- x7$) :named @p_41) x7$) :named @p_26) x6$)) :named @p_14) (and (! (= x9$ (- (! (ite (! (< x8$ 0) :named @p_42) (! (- x8$) :named @p_43) x8$) :named @p_27) x7$)) :named @p_15) (and (! (= x10$ (- (! (ite (! (< x9$ 0) :named @p_44) (! (- x9$) :named @p_45) x9$) :named @p_28) x8$)) :named @p_16) (! (= x11$ (- (! (ite (! (< x10$ 0) :named @p_46) (! (- x10$) :named @p_47) x10$) :named @p_29) x9$)) :named @p_17))))))))) :named @p_2) (! (and (! (= x1$ x10$) :named @p_70) (! (= x2$ x11$) :named @p_71)) :named @p_3)) :named @p_7)) :named @p_1))
 (step t2 (cl (! (= @p_1 (! (and @p_2 (! (not @p_3) :named @p_18)) :named @p_5)) :named @p_4)) :rule bool_simplify)
 (step t3 (cl (! (not @p_4) :named @p_8) (! (not @p_1) :named @p_6) @p_5) :rule equiv_pos2)
 (step t4 (cl (not @p_6) @p_7) :rule not_not)
 (step t5 (cl @p_8 @p_7 @p_5) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_5) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_5) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl (! (= @p_5 (! (and @p_9 @p_10 @p_11 @p_12 @p_13 @p_14 @p_15 @p_16 @p_17 @p_18) :named @p_20)) :named @p_19)) :rule ac_simp)
 (step t8 (cl (not @p_19) (not @p_5) @p_20) :rule equiv_pos2)
 (step t9 (cl @p_20) :rule th_resolution :premises (t6 t7 t8))
@@ -1629,271 +1890,10 @@
 (step t368 (cl @p_74) :rule resolution :premises (t31 t367))
 (step t369 (cl @p_140) :rule resolution :premises (t107 t367 t368 t365))
 (step t370 (cl) :rule resolution :premises (t243 t368 t327 t326 t366 t308 t369))
-8bfcf7a37e6d407d5cd3eb931a35cdc0c65c7e57 21 0
-unsat
-(assume a0 (! (not (! (or (! (< (! (+ x$ x$) :named @p_11) (! (+ (! (* 2.0 x$) :named @p_10) 1.0) :named @p_9)) :named @p_1) (or false @p_1)) :named @p_2)) :named @p_3))
-(step t2 (cl (= @p_2 (! (or @p_1 false) :named @p_4))) :rule ac_simp)
-(step t3 (cl (! (= @p_3 (! (not @p_4) :named @p_6)) :named @p_5)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_5) :named @p_8) (! (not @p_3) :named @p_7) @p_6) :rule equiv_pos2)
-(step t5 (cl (not @p_7) @p_2) :rule not_not)
-(step t6 (cl @p_8 @p_2 @p_6) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_6) :rule th_resolution :premises (a0 t3 t6))
-(step t8 (cl (= @p_9 (! (+ 1.0 @p_10) :named @p_12))) :rule sum_simplify)
-(step t9 (cl (= @p_1 (! (< @p_11 @p_12) :named @p_13))) :rule cong :premises (t8))
-(step t10 (cl (= @p_4 (! (or @p_13 false) :named @p_14))) :rule cong :premises (t9))
-(step t11 (cl (= @p_14 (! (or @p_13) :named @p_15))) :rule or_simplify)
-(step t12 (cl (= @p_15 @p_13)) :rule or_simplify)
-(step t13 (cl (= @p_4 @p_13)) :rule trans :premises (t10 t11 t12))
-(step t14 (cl (! (= @p_6 (! (not @p_13) :named @p_17)) :named @p_16)) :rule cong :premises (t13))
-(step t15 (cl (! (not @p_16) :named @p_19) (! (not @p_6) :named @p_18) @p_17) :rule equiv_pos2)
-(step t16 (cl (not @p_18) @p_4) :rule not_not)
-(step t17 (cl @p_19 @p_4 @p_17) :rule th_resolution :premises (t16 t15))
-(step t18 (cl @p_17) :rule th_resolution :premises (t7 t14 t17))
-(step t19 (cl @p_13) :rule la_tautology)
-(step t20 (cl) :rule resolution :premises (t19 t18))
-3982a32a09aa6c7a103906438cf1f4eedfd441ab 16 0
-unsat
-(assume a0 (! (not (! (not (! (exists ((?v0 Int)) false) :named @p_2)) :named @p_3)) :named @p_1))
-(step t2 (cl (! (not @p_1) :named @p_6) @p_2) :rule not_not)
-(step t3 (cl @p_2) :rule th_resolution :premises (t2 a0))
-(step t4 (cl (= @p_2 false)) :rule qnt_rm_unused)
-(step t5 (cl (= @p_3 (! (not false) :named @p_4))) :rule cong :premises (t4))
-(step t6 (cl (! (= @p_1 (! (not @p_4) :named @p_7)) :named @p_5)) :rule cong :premises (t5))
-(step t7 (cl (! (not @p_5) :named @p_8) @p_6 @p_7) :rule equiv_pos2)
-(step t8 (cl (not @p_6) @p_3) :rule not_not)
-(step t9 (cl @p_8 @p_3 @p_7) :rule th_resolution :premises (t8 t7))
-(step t10 (cl (not @p_7) false) :rule not_not)
-(step t11 (cl @p_8 @p_3 false) :rule th_resolution :premises (t10 t9))
-(step t12 (cl @p_7) :rule th_resolution :premises (t3 t6 t11))
-(step t13 (cl false) :rule th_resolution :premises (t10 t12))
-(step t14 (cl @p_4) :rule false)
-(step t15 (cl) :rule resolution :premises (t13 t14))
-74d9e4df0e27627f80a8b0c06331b33d5f261c17 16 0
-unsat
-(assume a0 (! (not (! (not (! (exists ((?v0 Real)) false) :named @p_2)) :named @p_3)) :named @p_1))
-(step t2 (cl (! (not @p_1) :named @p_6) @p_2) :rule not_not)
-(step t3 (cl @p_2) :rule th_resolution :premises (t2 a0))
-(step t4 (cl (= @p_2 false)) :rule qnt_rm_unused)
-(step t5 (cl (= @p_3 (! (not false) :named @p_4))) :rule cong :premises (t4))
-(step t6 (cl (! (= @p_1 (! (not @p_4) :named @p_7)) :named @p_5)) :rule cong :premises (t5))
-(step t7 (cl (! (not @p_5) :named @p_8) @p_6 @p_7) :rule equiv_pos2)
-(step t8 (cl (not @p_6) @p_3) :rule not_not)
-(step t9 (cl @p_8 @p_3 @p_7) :rule th_resolution :premises (t8 t7))
-(step t10 (cl (not @p_7) false) :rule not_not)
-(step t11 (cl @p_8 @p_3 false) :rule th_resolution :premises (t10 t9))
-(step t12 (cl @p_7) :rule th_resolution :premises (t3 t6 t11))
-(step t13 (cl false) :rule th_resolution :premises (t10 t12))
-(step t14 (cl @p_4) :rule false)
-(step t15 (cl) :rule resolution :premises (t13 t14))
-17b588accea82f232f85c0c80edac2592c83c741 44 0
-unsat
-(assume a0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (=> (! (and (! (= 0 ?v0) :named @p_2) (! (= 1 ?v1) :named @p_4)) :named @p_6) (! (not (! (= ?v0 ?v1) :named @p_8)) :named @p_10)) :named @p_12)) :named @p_1)) :named @p_14))
-(anchor :step t2 :args ((:= (?v0 Int) 0) (:= (?v1 Int) 1)))
-(step t2.t1 (cl @p_2) :rule refl)
-(step t2.t2 (cl (= @p_2 (! (= 0 0) :named @p_3))) :rule cong :premises (t2.t1))
-(step t2.t3 (cl @p_4) :rule refl)
-(step t2.t4 (cl (= @p_4 (! (= 1 1) :named @p_5))) :rule cong :premises (t2.t3))
-(step t2.t5 (cl (= @p_6 (! (and @p_3 @p_5) :named @p_7))) :rule cong :premises (t2.t2 t2.t4))
-(step t2.t6 (cl @p_2) :rule refl)
-(step t2.t7 (cl @p_4) :rule refl)
-(step t2.t8 (cl (= @p_8 (! (= 0 1) :named @p_9))) :rule cong :premises (t2.t6 t2.t7))
-(step t2.t9 (cl (= @p_10 (! (not @p_9) :named @p_11))) :rule cong :premises (t2.t8))
-(step t2.t10 (cl (= @p_12 (! (=> @p_7 @p_11) :named @p_13))) :rule cong :premises (t2.t5 t2.t9))
-(step t2 (cl (= @p_1 @p_13)) :rule onepoint)
-(step t3 (cl (! (= @p_14 (! (not @p_13) :named @p_16)) :named @p_15)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_15) :named @p_18) (! (not @p_14) :named @p_17) @p_16) :rule equiv_pos2)
-(step t5 (cl (not @p_17) @p_1) :rule not_not)
-(step t6 (cl @p_18 @p_1 @p_16) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_16) :rule th_resolution :premises (a0 t3 t6))
-(step t8 (cl (! (= @p_16 (! (and @p_7 (! (not @p_11) :named @p_23)) :named @p_20)) :named @p_19)) :rule bool_simplify)
-(step t9 (cl (! (not @p_19) :named @p_22) (! (not @p_16) :named @p_21) @p_20) :rule equiv_pos2)
-(step t10 (cl (not @p_21) @p_13) :rule not_not)
-(step t11 (cl @p_22 @p_13 @p_20) :rule th_resolution :premises (t10 t9))
-(step t12 (cl @p_20) :rule th_resolution :premises (t7 t8 t11))
-(step t13 (cl (! (= @p_20 (! (and @p_3 @p_5 @p_23) :named @p_25)) :named @p_24)) :rule ac_simp)
-(step t14 (cl (not @p_24) (not @p_20) @p_25) :rule equiv_pos2)
-(step t15 (cl @p_25) :rule th_resolution :premises (t12 t13 t14))
-(step t16 (cl (= @p_3 true)) :rule eq_simplify)
-(step t17 (cl (= @p_5 true)) :rule eq_simplify)
-(step t18 (cl (= @p_9 false)) :rule eq_simplify)
-(step t19 (cl (= @p_11 (! (not false) :named @p_26))) :rule cong :premises (t18))
-(step t20 (cl (= @p_26 true)) :rule not_simplify)
-(step t21 (cl (= @p_11 true)) :rule trans :premises (t19 t20))
-(step t22 (cl (= @p_23 (! (not true) :named @p_27))) :rule cong :premises (t21))
-(step t23 (cl (= @p_27 false)) :rule not_simplify)
-(step t24 (cl (= @p_23 false)) :rule trans :premises (t22 t23))
-(step t25 (cl (= @p_25 (! (and true true false) :named @p_28))) :rule cong :premises (t16 t17 t24))
-(step t26 (cl (= @p_28 (! (and false) :named @p_29))) :rule and_simplify)
-(step t27 (cl (= @p_29 false)) :rule and_simplify)
-(step t28 (cl (! (= @p_25 false) :named @p_30)) :rule trans :premises (t25 t26 t27))
-(step t29 (cl (not @p_30) (not @p_25) false) :rule equiv_pos2)
-(step t30 (cl false) :rule th_resolution :premises (t15 t28 t29))
-(step t31 (cl @p_26) :rule false)
-(step t32 (cl) :rule resolution :premises (t30 t31))
-126e26a1f138f1b616eeae4aad01c11068cd71e0 74 0
-unsat
-(define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Int)) (! (=> (! (< veriT_vr2 veriT_vr3) :named @p_30) (! (< (! (+ 1 (! (* 2 veriT_vr2) :named @p_32)) :named @p_33) (! (* 2 veriT_vr3) :named @p_35)) :named @p_36)) :named @p_37)))) :named @p_43))
-(define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (=> (< @p_43 veriT_vr3) (< (+ 1 (* 2 @p_43)) @p_35)))) :named @p_44))
-(assume a0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (=> (! (< ?v0 ?v1) :named @p_2) (! (< (! (+ (! (* 2 ?v0) :named @p_5) 1) :named @p_7) (! (* 2 ?v1) :named @p_10)) :named @p_12)) :named @p_14)) :named @p_1)) :named @p_16))
-(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0) (:= (?v1 Int) veriT_vr1)))
-(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
-(step t2.t2 (cl (! (= ?v1 veriT_vr1) :named @p_9)) :rule refl)
-(step t2.t3 (cl (= @p_2 (! (< veriT_vr0 veriT_vr1) :named @p_3))) :rule cong :premises (t2.t1 t2.t2))
-(step t2.t4 (cl @p_4) :rule refl)
-(step t2.t5 (cl (= @p_5 (! (* 2 veriT_vr0) :named @p_6))) :rule cong :premises (t2.t4))
-(step t2.t6 (cl (= @p_7 (! (+ @p_6 1) :named @p_8))) :rule cong :premises (t2.t5))
-(step t2.t7 (cl @p_9) :rule refl)
-(step t2.t8 (cl (= @p_10 (! (* 2 veriT_vr1) :named @p_11))) :rule cong :premises (t2.t7))
-(step t2.t9 (cl (= @p_12 (! (< @p_8 @p_11) :named @p_13))) :rule cong :premises (t2.t6 t2.t8))
-(step t2.t10 (cl (= @p_14 (! (=> @p_3 @p_13) :named @p_15))) :rule cong :premises (t2.t3 t2.t9))
-(step t2 (cl (= @p_1 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_15) :named @p_17))) :rule bind)
-(step t3 (cl (! (= @p_16 (! (not @p_17) :named @p_19)) :named @p_18)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_18) :named @p_21) (! (not @p_16) :named @p_20) @p_19) :rule equiv_pos2)
-(step t5 (cl (not @p_20) @p_1) :rule not_not)
-(step t6 (cl @p_21 @p_1 @p_19) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_19) :rule th_resolution :premises (a0 t3 t6))
-(anchor :step t8 :args ((veriT_vr0 Int) (veriT_vr1 Int)))
-(step t8.t1 (cl (= @p_8 (! (+ 1 @p_6) :named @p_22))) :rule sum_simplify)
-(step t8.t2 (cl (= @p_13 (! (< @p_22 @p_11) :named @p_23))) :rule cong :premises (t8.t1))
-(step t8.t3 (cl (= @p_15 (! (=> @p_3 @p_23) :named @p_24))) :rule cong :premises (t8.t2))
-(step t8 (cl (= @p_17 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_24) :named @p_25))) :rule bind)
-(step t9 (cl (! (= @p_19 (! (not @p_25) :named @p_27)) :named @p_26)) :rule cong :premises (t8))
-(step t10 (cl (! (not @p_26) :named @p_29) (! (not @p_19) :named @p_28) @p_27) :rule equiv_pos2)
-(step t11 (cl (not @p_28) @p_17) :rule not_not)
-(step t12 (cl @p_29 @p_17 @p_27) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_27) :rule th_resolution :premises (t7 t9 t12))
-(anchor :step t14 :args ((:= (veriT_vr0 Int) veriT_vr2) (:= (veriT_vr1 Int) veriT_vr3)))
-(step t14.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_31)) :rule refl)
-(step t14.t2 (cl (! (= veriT_vr1 veriT_vr3) :named @p_34)) :rule refl)
-(step t14.t3 (cl (= @p_3 @p_30)) :rule cong :premises (t14.t1 t14.t2))
-(step t14.t4 (cl @p_31) :rule refl)
-(step t14.t5 (cl (= @p_6 @p_32)) :rule cong :premises (t14.t4))
-(step t14.t6 (cl (= @p_22 @p_33)) :rule cong :premises (t14.t5))
-(step t14.t7 (cl @p_34) :rule refl)
-(step t14.t8 (cl (= @p_11 @p_35)) :rule cong :premises (t14.t7))
-(step t14.t9 (cl (= @p_23 @p_36)) :rule cong :premises (t14.t6 t14.t8))
-(step t14.t10 (cl (= @p_24 @p_37)) :rule cong :premises (t14.t3 t14.t9))
-(step t14 (cl (= @p_25 (! (forall ((veriT_vr2 Int) (veriT_vr3 Int)) @p_37) :named @p_38))) :rule bind)
-(step t15 (cl (! (= @p_27 (! (not @p_38) :named @p_40)) :named @p_39)) :rule cong :premises (t14))
-(step t16 (cl (! (not @p_39) :named @p_42) (! (not @p_27) :named @p_41) @p_40) :rule equiv_pos2)
-(step t17 (cl (not @p_41) @p_25) :rule not_not)
-(step t18 (cl @p_42 @p_25 @p_40) :rule th_resolution :premises (t17 t16))
-(step t19 (cl @p_40) :rule th_resolution :premises (t13 t15 t18))
-(anchor :step t20 :args ((:= (veriT_vr2 Int) veriT_sk0) (:= (veriT_vr3 Int) veriT_sk1)))
-(step t20.t1 (cl (! (= veriT_vr2 veriT_sk0) :named @p_46)) :rule refl)
-(step t20.t2 (cl (! (= veriT_vr3 veriT_sk1) :named @p_49)) :rule refl)
-(step t20.t3 (cl (= @p_30 (! (< veriT_sk0 veriT_sk1) :named @p_45))) :rule cong :premises (t20.t1 t20.t2))
-(step t20.t4 (cl @p_46) :rule refl)
-(step t20.t5 (cl (= @p_32 (! (* 2 veriT_sk0) :named @p_47))) :rule cong :premises (t20.t4))
-(step t20.t6 (cl (= @p_33 (! (+ 1 @p_47) :named @p_48))) :rule cong :premises (t20.t5))
-(step t20.t7 (cl @p_49) :rule refl)
-(step t20.t8 (cl (= @p_35 (! (* 2 veriT_sk1) :named @p_50))) :rule cong :premises (t20.t7))
-(step t20.t9 (cl (= @p_36 (! (< @p_48 @p_50) :named @p_51))) :rule cong :premises (t20.t6 t20.t8))
-(step t20.t10 (cl (= @p_37 (! (=> @p_45 @p_51) :named @p_52))) :rule cong :premises (t20.t3 t20.t9))
-(step t20 (cl (= @p_38 @p_52)) :rule sko_forall)
-(step t21 (cl (! (= @p_40 (! (not @p_52) :named @p_54)) :named @p_53)) :rule cong :premises (t20))
-(step t22 (cl (! (not @p_53) :named @p_56) (! (not @p_40) :named @p_55) @p_54) :rule equiv_pos2)
-(step t23 (cl (not @p_55) @p_38) :rule not_not)
-(step t24 (cl @p_56 @p_38 @p_54) :rule th_resolution :premises (t23 t22))
-(step t25 (cl @p_54) :rule th_resolution :premises (t19 t21 t24))
-(step t26 (cl (! (= @p_54 (! (and @p_45 (! (not @p_51) :named @p_61)) :named @p_58)) :named @p_57)) :rule bool_simplify)
-(step t27 (cl (! (not @p_57) :named @p_60) (! (not @p_54) :named @p_59) @p_58) :rule equiv_pos2)
-(step t28 (cl (not @p_59) @p_52) :rule not_not)
-(step t29 (cl @p_60 @p_52 @p_58) :rule th_resolution :premises (t28 t27))
-(step t30 (cl @p_58) :rule th_resolution :premises (t25 t26 t29))
-(step t31 (cl @p_45) :rule and :premises (t30))
-(step t32 (cl @p_61) :rule and :premises (t30))
-(step t33 (cl @p_51 (not @p_45)) :rule la_generic :args ((div 1 2) 1))
-(step t34 (cl) :rule resolution :premises (t33 t31 t32))
-8ef63c3af9accda70a9adb945698c9dc83c299cb 84 0
-unsat
-(define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Int)) (! (or (! (< 2 (! (+ veriT_vr2 veriT_vr3) :named @p_29)) :named @p_30) (! (= 2 @p_29) :named @p_34) (! (< @p_29 2) :named @p_35)) :named @p_36)))) :named @p_42))
-(define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (or (< 2 (! (+ @p_42 veriT_vr3) :named @p_43)) (= 2 @p_43) (< @p_43 2)))) :named @p_45))
-(assume a0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (or (! (< 2 (! (+ ?v0 ?v1) :named @p_1)) :named @p_4) (! (or (! (= 2 @p_1) :named @p_9) (! (< @p_1 2) :named @p_11)) :named @p_13)) :named @p_15)) :named @p_2)) :named @p_17))
-(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0) (:= (?v1 Int) veriT_vr1)))
-(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_6)) :rule refl)
-(step t2.t2 (cl (! (= ?v1 veriT_vr1) :named @p_7)) :rule refl)
-(step t2.t3 (cl (! (= @p_1 (! (+ veriT_vr0 veriT_vr1) :named @p_3)) :named @p_8)) :rule cong :premises (t2.t1 t2.t2))
-(step t2.t4 (cl (= @p_4 (! (< 2 @p_3) :named @p_5))) :rule cong :premises (t2.t3))
-(step t2.t5 (cl @p_6) :rule refl)
-(step t2.t6 (cl @p_7) :rule refl)
-(step t2.t7 (cl @p_8) :rule cong :premises (t2.t5 t2.t6))
-(step t2.t8 (cl (= @p_9 (! (= 2 @p_3) :named @p_10))) :rule cong :premises (t2.t7))
-(step t2.t9 (cl @p_6) :rule refl)
-(step t2.t10 (cl @p_7) :rule refl)
-(step t2.t11 (cl @p_8) :rule cong :premises (t2.t9 t2.t10))
-(step t2.t12 (cl (= @p_11 (! (< @p_3 2) :named @p_12))) :rule cong :premises (t2.t11))
-(step t2.t13 (cl (= @p_13 (! (or @p_10 @p_12) :named @p_14))) :rule cong :premises (t2.t8 t2.t12))
-(step t2.t14 (cl (= @p_15 (! (or @p_5 @p_14) :named @p_16))) :rule cong :premises (t2.t4 t2.t13))
-(step t2 (cl (= @p_2 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_16) :named @p_18))) :rule bind)
-(step t3 (cl (! (= @p_17 (! (not @p_18) :named @p_20)) :named @p_19)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_19) :named @p_22) (! (not @p_17) :named @p_21) @p_20) :rule equiv_pos2)
-(step t5 (cl (not @p_21) @p_2) :rule not_not)
-(step t6 (cl @p_22 @p_2 @p_20) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_20) :rule th_resolution :premises (a0 t3 t6))
-(anchor :step t8 :args ((veriT_vr0 Int) (veriT_vr1 Int)))
-(step t8.t1 (cl (= @p_16 (! (or @p_5 @p_10 @p_12) :named @p_23))) :rule ac_simp)
-(step t8 (cl (= @p_18 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_23) :named @p_24))) :rule bind)
-(step t9 (cl (! (= @p_20 (! (not @p_24) :named @p_26)) :named @p_25)) :rule cong :premises (t8))
-(step t10 (cl (! (not @p_25) :named @p_28) (! (not @p_20) :named @p_27) @p_26) :rule equiv_pos2)
-(step t11 (cl (not @p_27) @p_18) :rule not_not)
-(step t12 (cl @p_28 @p_18 @p_26) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_26) :rule th_resolution :premises (t7 t9 t12))
-(anchor :step t14 :args ((:= (veriT_vr0 Int) veriT_vr2) (:= (veriT_vr1 Int) veriT_vr3)))
-(step t14.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_31)) :rule refl)
-(step t14.t2 (cl (! (= veriT_vr1 veriT_vr3) :named @p_32)) :rule refl)
-(step t14.t3 (cl (! (= @p_3 @p_29) :named @p_33)) :rule cong :premises (t14.t1 t14.t2))
-(step t14.t4 (cl (= @p_5 @p_30)) :rule cong :premises (t14.t3))
-(step t14.t5 (cl @p_31) :rule refl)
-(step t14.t6 (cl @p_32) :rule refl)
-(step t14.t7 (cl @p_33) :rule cong :premises (t14.t5 t14.t6))
-(step t14.t8 (cl (= @p_10 @p_34)) :rule cong :premises (t14.t7))
-(step t14.t9 (cl @p_31) :rule refl)
-(step t14.t10 (cl @p_32) :rule refl)
-(step t14.t11 (cl @p_33) :rule cong :premises (t14.t9 t14.t10))
-(step t14.t12 (cl (= @p_12 @p_35)) :rule cong :premises (t14.t11))
-(step t14.t13 (cl (= @p_23 @p_36)) :rule cong :premises (t14.t4 t14.t8 t14.t12))
-(step t14 (cl (= @p_24 (! (forall ((veriT_vr2 Int) (veriT_vr3 Int)) @p_36) :named @p_37))) :rule bind)
-(step t15 (cl (! (= @p_26 (! (not @p_37) :named @p_39)) :named @p_38)) :rule cong :premises (t14))
-(step t16 (cl (! (not @p_38) :named @p_41) (! (not @p_26) :named @p_40) @p_39) :rule equiv_pos2)
-(step t17 (cl (not @p_40) @p_24) :rule not_not)
-(step t18 (cl @p_41 @p_24 @p_39) :rule th_resolution :premises (t17 t16))
-(step t19 (cl @p_39) :rule th_resolution :premises (t13 t15 t18))
-(anchor :step t20 :args ((:= (veriT_vr2 Int) veriT_sk0) (:= (veriT_vr3 Int) veriT_sk1)))
-(step t20.t1 (cl (! (= veriT_vr2 veriT_sk0) :named @p_47)) :rule refl)
-(step t20.t2 (cl (! (= veriT_vr3 veriT_sk1) :named @p_48)) :rule refl)
-(step t20.t3 (cl (! (= @p_29 (! (+ veriT_sk0 veriT_sk1) :named @p_44)) :named @p_49)) :rule cong :premises (t20.t1 t20.t2))
-(step t20.t4 (cl (= @p_30 (! (< 2 @p_44) :named @p_46))) :rule cong :premises (t20.t3))
-(step t20.t5 (cl @p_47) :rule refl)
-(step t20.t6 (cl @p_48) :rule refl)
-(step t20.t7 (cl @p_49) :rule cong :premises (t20.t5 t20.t6))
-(step t20.t8 (cl (= @p_34 (! (= 2 @p_44) :named @p_50))) :rule cong :premises (t20.t7))
-(step t20.t9 (cl @p_47) :rule refl)
-(step t20.t10 (cl @p_48) :rule refl)
-(step t20.t11 (cl @p_49) :rule cong :premises (t20.t9 t20.t10))
-(step t20.t12 (cl (= @p_35 (! (< @p_44 2) :named @p_51))) :rule cong :premises (t20.t11))
-(step t20.t13 (cl (= @p_36 (! (or @p_46 @p_50 @p_51) :named @p_52))) :rule cong :premises (t20.t4 t20.t8 t20.t12))
-(step t20 (cl (= @p_37 @p_52)) :rule sko_forall)
-(step t21 (cl (! (= @p_39 (! (not @p_52) :named @p_54)) :named @p_53)) :rule cong :premises (t20))
-(step t22 (cl (! (not @p_53) :named @p_56) (! (not @p_39) :named @p_55) @p_54) :rule equiv_pos2)
-(step t23 (cl (not @p_55) @p_37) :rule not_not)
-(step t24 (cl @p_56 @p_37 @p_54) :rule th_resolution :premises (t23 t22))
-(step t25 (cl @p_54) :rule th_resolution :premises (t19 t21 t24))
-(step t26 (cl (not @p_46)) :rule not_or :premises (t25))
-(step t27 (cl (not @p_50)) :rule not_or :premises (t25))
-(step t28 (cl (not @p_51)) :rule not_or :premises (t25))
-(step t29 (cl (or @p_50 (! (not (! (<= 2 @p_44) :named @p_59)) :named @p_57) (! (not (! (<= @p_44 2) :named @p_60)) :named @p_58))) :rule la_disequality)
-(step t30 (cl @p_50 @p_57 @p_58) :rule or :premises (t29))
-(step t31 (cl @p_57 @p_58) :rule resolution :premises (t30 t27))
-(step t32 (cl @p_59 @p_51) :rule la_generic :args (1 1))
-(step t33 (cl @p_59) :rule resolution :premises (t32 t28))
-(step t34 (cl @p_58) :rule resolution :premises (t31 t33))
-(step t35 (cl @p_60 @p_46) :rule la_generic :args (1 1))
-(step t36 (cl) :rule resolution :premises (t35 t26 t34))
-009068a6f752b63c0ec5b63adbd0474d11cb4745 67 0
+eddc1b21e40e4136745e32bdb4d4d38dda531d49 67 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr1 Int)) (not (! (ite (! (< 0 veriT_vr1) :named @p_27) (! (< 0 (! (+ 1 veriT_vr1) :named @p_29)) :named @p_30) (! (< veriT_vr1 1) :named @p_31)) :named @p_32))) :named @p_38))
-(assume a0 (! (not (! (forall ((?v0 Int)) (! (ite (! (< 0 ?v0) :named @p_2) (! (< 0 (! (+ ?v0 1) :named @p_5)) :named @p_7) (! (< ?v0 1) :named @p_9)) :named @p_11)) :named @p_1)) :named @p_13))
+(assume axiom0 (! (not (! (forall ((?v0 Int)) (! (ite (! (< 0 ?v0) :named @p_2) (! (< 0 (! (+ ?v0 1) :named @p_5)) :named @p_7) (! (< ?v0 1) :named @p_9)) :named @p_11)) :named @p_1)) :named @p_13))
 (anchor :step t2 :args ((:= (?v0 Int) veriT_vr0)))
 (step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
 (step t2.t2 (cl (= @p_2 (! (< 0 veriT_vr0) :named @p_3))) :rule cong :premises (t2.t1))
@@ -1908,7 +1908,7 @@
 (step t4 (cl (! (not @p_15) :named @p_18) (! (not @p_13) :named @p_17) @p_16) :rule equiv_pos2)
 (step t5 (cl (not @p_17) @p_1) :rule not_not)
 (step t6 (cl @p_18 @p_1 @p_16) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_16) :rule th_resolution :premises (a0 t3 t6))
+(step t7 (cl @p_16) :rule th_resolution :premises (axiom0 t3 t6))
 (anchor :step t8 :args ((veriT_vr0 Int)))
 (step t8.t1 (cl (= @p_6 (! (+ 1 veriT_vr0) :named @p_19))) :rule sum_simplify)
 (step t8.t2 (cl (= @p_8 (! (< 0 @p_19) :named @p_20))) :rule cong :premises (t8.t1))
@@ -1958,10 +1958,10 @@
 (step t32 (cl @p_50) :rule resolution :premises (t26 t31))
 (step t33 (cl @p_43 @p_39) :rule la_generic :args (1 1))
 (step t34 (cl) :rule resolution :premises (t33 t31 t32))
-72ef753af86f7012e75f73f9bc2d3adda07e800b 107 0
+3b346287f457d2c0655eb09f3d5280a06ca3434a 107 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr1 Int)) (not (! (or (! (< veriT_vr1 0) :named @p_37) (! (< 0 veriT_vr1) :named @p_39)) :named @p_40))) :named @p_51))
-(assume a0 (! (not (! (< 0 (! (ite (! (forall ((?v0 Int)) (! (or (! (< ?v0 0) :named @p_2) (! (< 0 ?v0) :named @p_5)) :named @p_7)) :named @p_1) (! (- 1) :named @p_11) 3) :named @p_9)) :named @p_12)) :named @p_14))
+(assume axiom0 (! (not (! (< 0 (! (ite (! (forall ((?v0 Int)) (! (or (! (< ?v0 0) :named @p_2) (! (< 0 ?v0) :named @p_5)) :named @p_7)) :named @p_1) (! (- 1) :named @p_11) 3) :named @p_9)) :named @p_12)) :named @p_14))
 (anchor :step t2 :args ((:= (?v0 Int) veriT_vr0)))
 (step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
 (step t2.t2 (cl (= @p_2 (! (< veriT_vr0 0) :named @p_3))) :rule cong :premises (t2.t1))
@@ -1975,7 +1975,7 @@
 (step t6 (cl (! (not @p_16) :named @p_19) (! (not @p_14) :named @p_18) @p_17) :rule equiv_pos2)
 (step t7 (cl (not @p_18) @p_12) :rule not_not)
 (step t8 (cl @p_19 @p_12 @p_17) :rule th_resolution :premises (t7 t6))
-(step t9 (cl @p_17) :rule th_resolution :premises (a0 t5 t8))
+(step t9 (cl @p_17) :rule th_resolution :premises (axiom0 t5 t8))
 (step t10 (cl (= @p_11 (- 1))) :rule minus_simplify)
 (step t11 (cl (= @p_13 (! (ite @p_10 (- 1) 3) :named @p_20))) :rule cong :premises (t10))
 (step t12 (cl (= @p_15 (! (< 0 @p_20) :named @p_21))) :rule cong :premises (t11))
@@ -2066,17 +2066,17 @@
 (step t71 (cl @p_85) :rule false)
 (step t72 (cl @p_65 false) :rule or :premises (t70))
 (step t73 (cl) :rule resolution :premises (t72 t63 t71))
-79c36cccfa675d72431ed7e3c2f6afc45f85907a 74 0
+f2b4e98e9e25f5e157253b295acc06d5501334ba 74 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Int)) (! (=> (! (and (! (< 0 veriT_vr2) :named @p_27) (! (< 0 veriT_vr3) :named @p_28)) :named @p_29) (! (< 0 (! (+ veriT_vr2 veriT_vr3) :named @p_32)) :named @p_33)) :named @p_34)))) :named @p_40))
 (define-fun veriT_sk1 () Int (! (choice ((veriT_vr3 Int)) (not (=> (and (< 0 @p_40) @p_28) (< 0 (+ @p_40 veriT_vr3))))) :named @p_41))
-(assume a0 (! (not (! (exists ((?v0 Int)) (! (forall ((?v1 Int) (?v2 Int)) (! (=> (! (and (! (< 0 ?v1) :named @p_8) (! (< 0 ?v2) :named @p_10)) :named @p_12) (! (< 0 (! (+ ?v1 ?v2) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_2)) :named @p_1)) :named @p_3))
+(assume axiom0 (! (not (! (exists ((?v0 Int)) (! (forall ((?v1 Int) (?v2 Int)) (! (=> (! (and (! (< 0 ?v1) :named @p_8) (! (< 0 ?v2) :named @p_10)) :named @p_12) (! (< 0 (! (+ ?v1 ?v2) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_2)) :named @p_1)) :named @p_3))
 (step t2 (cl (= @p_1 @p_2)) :rule qnt_rm_unused)
 (step t3 (cl (! (= @p_3 (! (not @p_2) :named @p_5)) :named @p_4)) :rule cong :premises (t2))
 (step t4 (cl (! (not @p_4) :named @p_7) (! (not @p_3) :named @p_6) @p_5) :rule equiv_pos2)
 (step t5 (cl (not @p_6) @p_1) :rule not_not)
 (step t6 (cl @p_7 @p_1 @p_5) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_5) :rule th_resolution :premises (a0 t3 t6))
+(step t7 (cl @p_5) :rule th_resolution :premises (axiom0 t3 t6))
 (anchor :step t8 :args ((:= (?v1 Int) veriT_vr0) (:= (?v2 Int) veriT_vr1)))
 (step t8.t1 (cl (! (= ?v1 veriT_vr0) :named @p_14)) :rule refl)
 (step t8.t2 (cl (= @p_8 (! (< 0 veriT_vr0) :named @p_9))) :rule cong :premises (t8.t1))
@@ -2141,17 +2141,17 @@
 (step t36 (cl @p_58) :rule and :premises (t33))
 (step t37 (cl (not @p_43) @p_48 (not @p_42)) :rule la_generic :args (1 1 1))
 (step t38 (cl) :rule resolution :premises (t37 t34 t35 t36))
-967b369bde4b5569be04c05ebef7c7c11a7dd949 77 0
+373457faab0c37c0d0d8b85464bbfee7e80cb98a 77 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Real)) (! (=> (! (and (! (< 0 veriT_vr2) :named @p_32) (! (< 0.0 veriT_vr3) :named @p_33)) :named @p_34) (! (< (- 1) veriT_vr2) :named @p_36)) :named @p_37)))) :named @p_43))
 (define-fun veriT_sk1 () Real (! (choice ((veriT_vr3 Real)) (not (=> (and (< 0 @p_43) @p_33) (< (- 1) @p_43)))) :named @p_45))
-(assume a0 (! (not (! (exists ((?v0 Int)) (! (forall ((?v1 Int) (?v2 Real)) (! (=> (! (and (! (< 0 ?v1) :named @p_9) (! (< 0.0 ?v2) :named @p_11)) :named @p_13) (! (< (! (- 1) :named @p_8) ?v1) :named @p_16)) :named @p_18)) :named @p_2)) :named @p_1)) :named @p_3))
+(assume axiom0 (! (not (! (exists ((?v0 Int)) (! (forall ((?v1 Int) (?v2 Real)) (! (=> (! (and (! (< 0 ?v1) :named @p_9) (! (< 0.0 ?v2) :named @p_11)) :named @p_13) (! (< (! (- 1) :named @p_8) ?v1) :named @p_16)) :named @p_18)) :named @p_2)) :named @p_1)) :named @p_3))
 (step t2 (cl (= @p_1 @p_2)) :rule qnt_rm_unused)
 (step t3 (cl (! (= @p_3 (! (not @p_2) :named @p_5)) :named @p_4)) :rule cong :premises (t2))
 (step t4 (cl (! (not @p_4) :named @p_7) (! (not @p_3) :named @p_6) @p_5) :rule equiv_pos2)
 (step t5 (cl (not @p_6) @p_1) :rule not_not)
 (step t6 (cl @p_7 @p_1 @p_5) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_5) :rule th_resolution :premises (a0 t3 t6))
+(step t7 (cl @p_5) :rule th_resolution :premises (axiom0 t3 t6))
 (anchor :step t8 :args ((:= (?v1 Int) veriT_vr0) (:= (?v2 Real) veriT_vr1)))
 (step t8.t1 (cl (! (= ?v1 veriT_vr0) :named @p_15)) :rule refl)
 (step t8.t2 (cl (= @p_9 (! (< 0 veriT_vr0) :named @p_10))) :rule cong :premises (t8.t1))
@@ -2219,16 +2219,16 @@
 (step t41 (cl @p_59) :rule and :premises (t39))
 (step t42 (cl @p_49 (not @p_44)) :rule la_generic :args (1.0 1.0))
 (step t43 (cl) :rule resolution :premises (t42 t40 t41))
-ad30a685f8670d5c182050b2758f164c00fa02de 49 0
+3b8147fceb728295aa24bd5bef9bf1721184b75c 49 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr1 Int)) (not (! (or (! (< 0 veriT_vr1) :named @p_20) (! (< veriT_vr1 1) :named @p_22)) :named @p_23))) :named @p_29))
-(assume a0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (or (! (< 0 ?v1) :named @p_9) (! (< ?v1 1) :named @p_12)) :named @p_2)) :named @p_1)) :named @p_3))
+(assume axiom0 (! (not (! (forall ((?v0 Int) (?v1 Int)) (! (or (! (< 0 ?v1) :named @p_9) (! (< ?v1 1) :named @p_12)) :named @p_2)) :named @p_1)) :named @p_3))
 (step t2 (cl (= @p_1 (! (forall ((?v1 Int)) @p_2) :named @p_4))) :rule qnt_rm_unused)
 (step t3 (cl (! (= @p_3 (! (not @p_4) :named @p_6)) :named @p_5)) :rule cong :premises (t2))
 (step t4 (cl (! (not @p_5) :named @p_8) (! (not @p_3) :named @p_7) @p_6) :rule equiv_pos2)
 (step t5 (cl (not @p_7) @p_1) :rule not_not)
 (step t6 (cl @p_8 @p_1 @p_6) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_6) :rule th_resolution :premises (a0 t3 t6))
+(step t7 (cl @p_6) :rule th_resolution :premises (axiom0 t3 t6))
 (anchor :step t8 :args ((:= (?v1 Int) veriT_vr0)))
 (step t8.t1 (cl (! (= ?v1 veriT_vr0) :named @p_11)) :rule refl)
 (step t8.t2 (cl (= @p_9 (! (< 0 veriT_vr0) :named @p_10))) :rule cong :premises (t8.t1))
@@ -2269,36 +2269,36 @@
 (step t27 (cl (not @p_32)) :rule not_or :premises (t25))
 (step t28 (cl @p_32 @p_30) :rule la_generic :args (1 1))
 (step t29 (cl) :rule resolution :premises (t28 t26 t27))
-c9141d00ebba589372c1920648d35b166a7ea6d0 7 0
+467ecef4941df0c9404f2c8e1d81f077fb40e73a 7 0
 unsat
-(assume a0 (! (not (! (not (! (= 1 (* 2 (of_nat$ x$))) :named @p_2)) :named @p_3)) :named @p_1))
+(assume axiom0 (! (not (! (not (! (= 1 (* 2 (of_nat$ x$))) :named @p_2)) :named @p_3)) :named @p_1))
 (step t2 (cl (not @p_1) @p_2) :rule not_not)
-(step t3 (cl @p_2) :rule th_resolution :premises (t2 a0))
+(step t3 (cl @p_2) :rule th_resolution :premises (t2 axiom0))
 (step t4 (cl @p_3 @p_3) :rule lia_generic)
 (step t5 (cl @p_3) :rule contraction :premises (t4))
 (step t6 (cl) :rule resolution :premises (t5 t3))
-5c421c4131db57d719eecccd76e666bae936fa11 11 0
+3549c5e5446637c428a1dc6a809dddaffe6daeca 11 0
 unsat
-(assume a0 (! (not (! (=> (! (< (! (of_nat$ a$) :named @p_1) 3) :named @p_3) (! (< (* 2 @p_1) 7) :named @p_4)) :named @p_8)) :named @p_2))
+(assume axiom0 (! (not (! (=> (! (< (! (of_nat$ a$) :named @p_1) 3) :named @p_3) (! (< (* 2 @p_1) 7) :named @p_4)) :named @p_8)) :named @p_2))
 (step t2 (cl (! (= @p_2 (! (and @p_3 (! (not @p_4) :named @p_10)) :named @p_6)) :named @p_5)) :rule bool_simplify)
 (step t3 (cl (! (not @p_5) :named @p_9) (! (not @p_2) :named @p_7) @p_6) :rule equiv_pos2)
 (step t4 (cl (not @p_7) @p_8) :rule not_not)
 (step t5 (cl @p_9 @p_8 @p_6) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_6) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_6) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl @p_3) :rule and :premises (t6))
 (step t8 (cl @p_10) :rule and :premises (t6))
 (step t9 (cl @p_4 (not @p_3)) :rule la_generic :args ((div 1 2) 1))
 (step t10 (cl) :rule resolution :premises (t9 t7 t8))
-92da6e97ba29a34a876c0fa16d5e6d53b05316de 21 0
+af4e96cd41efee9e27fd5c2ad7650835fd28bdc9 21 0
 unsat
-(assume a0 (! (not (! (< (! (* 0 (! (+ 1 (! (of_nat$ y$) :named @p_2)) :named @p_1)) :named @p_3) (! (ite (! (< @p_1 @p_2) :named @p_12) 0 (! (- @p_1 @p_2) :named @p_13)) :named @p_5)) :named @p_4)) :named @p_6))
+(assume axiom0 (! (not (! (< (! (* 0 (! (+ 1 (! (of_nat$ y$) :named @p_2)) :named @p_1)) :named @p_3) (! (ite (! (< @p_1 @p_2) :named @p_12) 0 (! (- @p_1 @p_2) :named @p_13)) :named @p_5)) :named @p_4)) :named @p_6))
 (step t2 (cl (= 0 @p_3)) :rule prod_simplify)
 (step t3 (cl (= @p_4 (! (< 0 @p_5) :named @p_7))) :rule cong :premises (t2))
 (step t4 (cl (! (= @p_6 (! (not @p_7) :named @p_9)) :named @p_8)) :rule cong :premises (t3))
 (step t5 (cl (! (not @p_8) :named @p_11) (! (not @p_6) :named @p_10) @p_9) :rule equiv_pos2)
 (step t6 (cl (not @p_10) @p_4) :rule not_not)
 (step t7 (cl @p_11 @p_4 @p_9) :rule th_resolution :premises (t6 t5))
-(step t8 (cl @p_9) :rule th_resolution :premises (a0 t4 t7))
+(step t8 (cl @p_9) :rule th_resolution :premises (axiom0 t4 t7))
 (step t9 (cl (! (= @p_9 (! (and (! (not (! (< 0 @p_5) :named @p_21)) :named @p_18) (! (ite @p_12 (= 0 @p_5) (! (= @p_13 @p_5) :named @p_20)) :named @p_19)) :named @p_15)) :named @p_14)) :rule ite_intro)
 (step t10 (cl (! (not @p_14) :named @p_17) (! (not @p_9) :named @p_16) @p_15) :rule equiv_pos2)
 (step t11 (cl (not @p_16) @p_7) :rule not_not)
@@ -2311,16 +2311,16 @@
 (step t18 (cl @p_20) :rule resolution :premises (t16 t17))
 (step t19 (cl @p_21 (not @p_20)) :rule la_generic :args (1 (- 1)))
 (step t20 (cl) :rule resolution :premises (t19 t14 t18))
-d2911e8674cbcffa4830ead7c6ef3c57cef2d6fa 33 0
+efbe007514b68c6b40ac16694834314f7692069b 33 0
 unsat
-(assume a0 (! (not (! (or false (or (! (= (! (ite (! (< 0 (! (+ 1 (! (of_nat$ y$) :named @p_1)) :named @p_2)) :named @p_13) true false) :named @p_3) (! (= @p_1 (! (ite (! (< @p_2 1) :named @p_27) 0 (! (- @p_2 1) :named @p_28)) :named @p_26)) :named @p_14)) :named @p_5) (! (=> (! (not @p_3) :named @p_15) false) :named @p_6))) :named @p_4)) :named @p_7))
-(assume a1 (! (<= 0 @p_1) :named @p_34))
+(assume axiom0 (! (not (! (or false (or (! (= (! (ite (! (< 0 (! (+ 1 (! (of_nat$ y$) :named @p_1)) :named @p_2)) :named @p_13) true false) :named @p_3) (! (= @p_1 (! (ite (! (< @p_2 1) :named @p_27) 0 (! (- @p_2 1) :named @p_28)) :named @p_26)) :named @p_14)) :named @p_5) (! (=> (! (not @p_3) :named @p_15) false) :named @p_6))) :named @p_4)) :named @p_7))
+(assume axiom1 (! (<= 0 @p_1) :named @p_34))
 (step t3 (cl (= @p_4 (! (or false @p_5 @p_6) :named @p_8))) :rule ac_simp)
 (step t4 (cl (! (= @p_7 (! (not @p_8) :named @p_10)) :named @p_9)) :rule cong :premises (t3))
 (step t5 (cl (! (not @p_9) :named @p_12) (! (not @p_7) :named @p_11) @p_10) :rule equiv_pos2)
 (step t6 (cl (not @p_11) @p_4) :rule not_not)
 (step t7 (cl @p_12 @p_4 @p_10) :rule th_resolution :premises (t6 t5))
-(step t8 (cl @p_10) :rule th_resolution :premises (a0 t4 t7))
+(step t8 (cl @p_10) :rule th_resolution :premises (axiom0 t4 t7))
 (step t9 (cl (= @p_3 @p_13)) :rule ite_simplify)
 (step t10 (cl (= @p_5 (! (= @p_13 @p_14) :named @p_19))) :rule cong :premises (t9))
 (step t11 (cl (= @p_15 (! (not @p_13) :named @p_16))) :rule cong :premises (t9))
@@ -2344,11 +2344,11 @@
 (step t29 (cl @p_33) :rule and :premises (t28))
 (step t30 (cl @p_16) :rule not_or :premises (t29))
 (step t31 (cl @p_13 (not @p_34)) :rule la_generic :args (1 1))
-(step t32 (cl) :rule resolution :premises (t31 t30 a1))
-1b01a203f415236790472915120aeba1d69e507b 76 0
+(step t32 (cl) :rule resolution :premises (t31 t30 axiom1))
+d3c98c27318a98e589a892ffe99adffc556ea833 76 0
 unsat
-(assume a4 (! (forall ((?v0 Int)) (! (= (! (of_nat$ (! (nat$ ?v0) :named @p_3)) :named @p_5) (! (ite (! (<= 0 ?v0) :named @p_8) ?v0 0) :named @p_10)) :named @p_12)) :named @p_2))
-(assume a1 (! (not (! (= (! (ite (! (< x$ 0) :named @p_25) (! (- x$) :named @p_26) x$) :named @p_1) (of_nat$ (nat$ @p_1))) :named @p_30)) :named @p_24))
+(assume axiom4 (! (forall ((?v0 Int)) (! (= (! (of_nat$ (! (nat$ ?v0) :named @p_3)) :named @p_5) (! (ite (! (<= 0 ?v0) :named @p_8) ?v0 0) :named @p_10)) :named @p_12)) :named @p_2))
+(assume axiom1 (! (not (! (= (! (ite (! (< x$ 0) :named @p_25) (! (- x$) :named @p_26) x$) :named @p_1) (of_nat$ (nat$ @p_1))) :named @p_30)) :named @p_24))
 (anchor :step t3 :args ((:= (?v0 Int) veriT_vr0)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr0) :named @p_7)) :rule refl)
 (step t3.t2 (cl (= @p_3 (! (nat$ veriT_vr0) :named @p_4))) :rule cong :premises (t3.t1))
@@ -2360,7 +2360,7 @@
 (step t3.t8 (cl (= @p_12 (! (= @p_6 @p_11) :named @p_13))) :rule cong :premises (t3.t3 t3.t7))
 (step t3 (cl (! (= @p_2 (! (forall ((veriT_vr0 Int)) @p_13) :named @p_15)) :named @p_14)) :rule bind)
 (step t4 (cl (not @p_14) (not @p_2) @p_15) :rule equiv_pos2)
-(step t5 (cl @p_15) :rule th_resolution :premises (a4 t3 t4))
+(step t5 (cl @p_15) :rule th_resolution :premises (axiom4 t3 t4))
 (anchor :step t6 :args ((:= (veriT_vr0 Int) veriT_vr1)))
 (step t6.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_18)) :rule refl)
 (step t6.t2 (cl (= @p_4 (! (nat$ veriT_vr1) :named @p_16))) :rule cong :premises (t6.t1))
@@ -2377,7 +2377,7 @@
 (step t10 (cl (! (not @p_27) :named @p_31) (! (not @p_24) :named @p_29) @p_28) :rule equiv_pos2)
 (step t11 (cl (not @p_29) @p_30) :rule not_not)
 (step t12 (cl @p_31 @p_30 @p_28) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_28) :rule th_resolution :premises (a1 t9 t12))
+(step t13 (cl @p_28) :rule th_resolution :premises (axiom1 t9 t12))
 (step t14 (cl @p_32) :rule and :premises (t13))
 (step t15 (cl @p_33) :rule and :premises (t13))
 (step t16 (cl @p_25 @p_34) :rule ite1 :premises (t15))
@@ -2422,13 +2422,13 @@
 (step t50 (cl @p_62 @p_64 @p_58 (! (not @p_35) :named @p_65)) :rule la_generic :args (1 1 1 (- 1)))
 (step t51 (cl @p_62 @p_64 @p_65 @p_61 @p_55) :rule th_resolution :premises (t50 t42))
 (step t52 (cl) :rule resolution :premises (t51 t48 t49 t32 t39 t44))
-59999ffb5d66c5ffe3c4bd998e52a95d515ab9b4 337 0
+d4fe162ae425370cea445760001be7c859bc0288 337 0
 unsat
 (define-fun veriT_sk1 () Nat$ (! (choice ((veriT_vr18 Nat$)) (not (! (=> (! (dvd$ veriT_vr18 (! (nat$ (! (+ 1 (! (* 4 (! (of_nat$ m$) :named @p_3)) :named @p_117)) :named @p_119)) :named @p_120)) :named @p_206) (! (or (! (= 1 (! (of_nat$ veriT_vr18) :named @p_171)) :named @p_208) (! (= (! (of_nat$ @p_120) :named @p_158) @p_171) :named @p_210)) :named @p_211)) :named @p_205))) :named @p_172))
-(assume a0 (! (forall ((?v0 Nat$)) (! (= (! (prime_nat$ ?v0) :named @p_7) (! (and (! (< 1 (! (of_nat$ ?v0) :named @p_1)) :named @p_10) (! (forall ((?v1 Nat$)) (! (=> (! (dvd$ ?v1 ?v0) :named @p_14) (! (or (! (= 1 (! (of_nat$ ?v1) :named @p_2)) :named @p_17) (! (= @p_1 @p_2) :named @p_21)) :named @p_23)) :named @p_25)) :named @p_12)) :named @p_27)) :named @p_29)) :named @p_4))
-(assume a1 (! (not (! (=> (! (prime_nat$ (! (nat$ (! (+ @p_117 1) :named @p_116)) :named @p_118)) :named @p_109) (! (<= 1 @p_3) :named @p_110)) :named @p_114)) :named @p_108))
-(assume a2 (! (forall ((?v0 Nat$)) (! (<= 0 @p_1) :named @p_127)) :named @p_125))
-(assume a4 (! (forall ((?v0 Int)) (! (= (! (of_nat$ (! (nat$ ?v0) :named @p_136)) :named @p_138) (! (ite (! (<= 0 ?v0) :named @p_141) ?v0 0) :named @p_143)) :named @p_145)) :named @p_135))
+(assume axiom0 (! (forall ((?v0 Nat$)) (! (= (! (prime_nat$ ?v0) :named @p_7) (! (and (! (< 1 (! (of_nat$ ?v0) :named @p_1)) :named @p_10) (! (forall ((?v1 Nat$)) (! (=> (! (dvd$ ?v1 ?v0) :named @p_14) (! (or (! (= 1 (! (of_nat$ ?v1) :named @p_2)) :named @p_17) (! (= @p_1 @p_2) :named @p_21)) :named @p_23)) :named @p_25)) :named @p_12)) :named @p_27)) :named @p_29)) :named @p_4))
+(assume axiom1 (! (not (! (=> (! (prime_nat$ (! (nat$ (! (+ @p_117 1) :named @p_116)) :named @p_118)) :named @p_109) (! (<= 1 @p_3) :named @p_110)) :named @p_114)) :named @p_108))
+(assume axiom2 (! (forall ((?v0 Nat$)) (! (<= 0 @p_1) :named @p_127)) :named @p_125))
+(assume axiom4 (! (forall ((?v0 Int)) (! (= (! (of_nat$ (! (nat$ ?v0) :named @p_136)) :named @p_138) (! (ite (! (<= 0 ?v0) :named @p_141) ?v0 0) :named @p_143)) :named @p_145)) :named @p_135))
 (anchor :step t5 :args ((:= (?v0 Nat$) veriT_vr0)))
 (step t5.t1 (cl (! (= ?v0 veriT_vr0) :named @p_9)) :rule refl)
 (step t5.t2 (cl (= @p_7 (! (prime_nat$ veriT_vr0) :named @p_8))) :rule cong :premises (t5.t1))
@@ -2454,7 +2454,7 @@
 (step t5.t8 (cl (= @p_29 (! (= @p_8 @p_28) :named @p_30))) :rule cong :premises (t5.t2 t5.t7))
 (step t5 (cl (! (= @p_4 (! (forall ((veriT_vr0 Nat$)) @p_30) :named @p_32)) :named @p_31)) :rule bind)
 (step t6 (cl (not @p_31) (not @p_4) @p_32) :rule equiv_pos2)
-(step t7 (cl @p_32) :rule th_resolution :premises (a0 t5 t6))
+(step t7 (cl @p_32) :rule th_resolution :premises (axiom0 t5 t6))
 (anchor :step t8 :args ((veriT_vr0 Nat$)))
 (step t8.t1 (cl (= @p_30 (! (and (! (=> @p_8 @p_28) :named @p_52) (! (=> @p_28 @p_8) :named @p_65)) :named @p_33))) :rule connective_def)
 (step t8 (cl (! (= @p_32 (! (forall ((veriT_vr0 Nat$)) @p_33) :named @p_35)) :named @p_34)) :rule bind)
@@ -2581,7 +2581,7 @@
 (step t21 (cl (! (not @p_111) :named @p_115) (! (not @p_108) :named @p_113) @p_112) :rule equiv_pos2)
 (step t22 (cl (not @p_113) @p_114) :rule not_not)
 (step t23 (cl @p_115 @p_114 @p_112) :rule th_resolution :premises (t22 t21))
-(step t24 (cl @p_112) :rule th_resolution :premises (a1 t20 t23))
+(step t24 (cl @p_112) :rule th_resolution :premises (axiom1 t20 t23))
 (step t25 (cl (= @p_116 @p_119)) :rule sum_simplify)
 (step t26 (cl (= @p_118 @p_120)) :rule cong :premises (t25))
 (step t27 (cl (= @p_109 (! (prime_nat$ @p_120) :named @p_121))) :rule cong :premises (t26))
@@ -2594,7 +2594,7 @@
 (step t31.t3 (cl (= @p_127 (! (<= 0 @p_126) :named @p_128))) :rule cong :premises (t31.t2))
 (step t31 (cl (! (= @p_125 (! (forall ((veriT_vr8 Nat$)) @p_128) :named @p_130)) :named @p_129)) :rule bind)
 (step t32 (cl (not @p_129) (not @p_125) @p_130) :rule equiv_pos2)
-(step t33 (cl @p_130) :rule th_resolution :premises (a2 t31 t32))
+(step t33 (cl @p_130) :rule th_resolution :premises (axiom2 t31 t32))
 (anchor :step t34 :args ((:= (veriT_vr8 Nat$) veriT_vr9)))
 (step t34.t1 (cl (= veriT_vr8 veriT_vr9)) :rule refl)
 (step t34.t2 (cl (= @p_126 (! (of_nat$ veriT_vr9) :named @p_131))) :rule cong :premises (t34.t1))
@@ -2613,7 +2613,7 @@
 (step t37.t8 (cl (= @p_145 (! (= @p_139 @p_144) :named @p_146))) :rule cong :premises (t37.t3 t37.t7))
 (step t37 (cl (! (= @p_135 (! (forall ((veriT_vr12 Int)) @p_146) :named @p_148)) :named @p_147)) :rule bind)
 (step t38 (cl (not @p_147) (not @p_135) @p_148) :rule equiv_pos2)
-(step t39 (cl @p_148) :rule th_resolution :premises (a4 t37 t38))
+(step t39 (cl @p_148) :rule th_resolution :premises (axiom4 t37 t38))
 (anchor :step t40 :args ((:= (veriT_vr12 Int) veriT_vr13)))
 (step t40.t1 (cl (! (= veriT_vr12 veriT_vr13) :named @p_151)) :rule refl)
 (step t40.t2 (cl (= @p_137 (! (nat$ veriT_vr13) :named @p_149))) :rule cong :premises (t40.t1))
@@ -2760,18 +2760,18 @@
 (step t84 (cl (! (not @p_246) :named @p_253) (! (not @p_244) :named @p_254) @p_251) :rule eq_transitive)
 (step t85 (cl @p_252 @p_110 @p_253 @p_254) :rule th_resolution :premises (t83 t84))
 (step t86 (cl) :rule resolution :premises (t85 t44 t67 t82 t79))
-195c5f4e7eb20baa5a32cf916824c8152dd91637 7 0
+8d6d329bb2354ffa218e4b6256b283b3915c3682 7 0
 unsat
-(assume a0 (! (not (! (not (! (= 1 (* 2 x$)) :named @p_2)) :named @p_3)) :named @p_1))
+(assume axiom0 (! (not (! (not (! (= 1 (* 2 x$)) :named @p_2)) :named @p_3)) :named @p_1))
 (step t2 (cl (not @p_1) @p_2) :rule not_not)
-(step t3 (cl @p_2) :rule th_resolution :premises (t2 a0))
+(step t3 (cl @p_2) :rule th_resolution :premises (t2 axiom0))
 (step t4 (cl @p_3 @p_3) :rule lia_generic)
 (step t5 (cl @p_3) :rule contraction :premises (t4))
 (step t6 (cl) :rule resolution :premises (t5 t3))
-f45af256a4bceda428e7fbee4e1e3dbdf14a491e 35 0
+1cf2d299f7ccd81bab0d38f30ec8595b5f133da6 35 0
 unsat
-(assume a0 (! (forall ((?v0 A$) (?v1 B$)) (! (= ?v0 (! (fst$ (! (pair$ ?v0 ?v1) :named @p_3)) :named @p_5)) :named @p_7)) :named @p_1))
-(assume a1 (! (not (! (=> (! (= (! (fst$ (pair$ x$ y$)) :named @p_26) a$) :named @p_18) (! (= x$ a$) :named @p_19)) :named @p_23)) :named @p_17))
+(assume axiom0 (! (forall ((?v0 A$) (?v1 B$)) (! (= ?v0 (! (fst$ (! (pair$ ?v0 ?v1) :named @p_3)) :named @p_5)) :named @p_7)) :named @p_1))
+(assume axiom1 (! (not (! (=> (! (= (! (fst$ (pair$ x$ y$)) :named @p_26) a$) :named @p_18) (! (= x$ a$) :named @p_19)) :named @p_23)) :named @p_17))
 (anchor :step t3 :args ((:= (?v0 A$) veriT_vr0) (:= (?v1 B$) veriT_vr1)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr0) :named @p_2)) :rule refl)
 (step t3.t2 (cl @p_2) :rule refl)
@@ -2781,7 +2781,7 @@
 (step t3.t6 (cl (= @p_7 (! (= veriT_vr0 @p_6) :named @p_8))) :rule cong :premises (t3.t1 t3.t5))
 (step t3 (cl (! (= @p_1 (! (forall ((veriT_vr0 A$) (veriT_vr1 B$)) @p_8) :named @p_10)) :named @p_9)) :rule bind)
 (step t4 (cl (not @p_9) (not @p_1) @p_10) :rule equiv_pos2)
-(step t5 (cl @p_10) :rule th_resolution :premises (a0 t3 t4))
+(step t5 (cl @p_10) :rule th_resolution :premises (axiom0 t3 t4))
 (anchor :step t6 :args ((:= (veriT_vr0 A$) veriT_vr2) (:= (veriT_vr1 B$) veriT_vr3)))
 (step t6.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_11)) :rule refl)
 (step t6.t2 (cl @p_11) :rule refl)
@@ -2796,7 +2796,7 @@
 (step t10 (cl (! (not @p_20) :named @p_24) (! (not @p_17) :named @p_22) @p_21) :rule equiv_pos2)
 (step t11 (cl (not @p_22) @p_23) :rule not_not)
 (step t12 (cl @p_24 @p_23 @p_21) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_21) :rule th_resolution :premises (a1 t9 t12))
+(step t13 (cl @p_21) :rule th_resolution :premises (axiom1 t9 t12))
 (step t14 (cl @p_18) :rule and :premises (t13))
 (step t15 (cl @p_25) :rule and :premises (t13))
 (step t16 (cl (or (! (not @p_16) :named @p_27) (! (= x$ @p_26) :named @p_28))) :rule forall_inst :args ((:= veriT_vr2 x$) (:= veriT_vr3 y$)))
@@ -2804,10 +2804,104 @@
 (step t18 (cl @p_28) :rule resolution :premises (t17 t8))
 (step t19 (cl (not @p_28) (not @p_18) @p_19) :rule eq_transitive)
 (step t20 (cl) :rule resolution :premises (t19 t14 t15 t18))
-323770b82ef8fd021b5433671b6c4077843fd9d7 97 0
+48c92486160c88d9d50f41cf6a3fd33cb769b2b7 67 0
 unsat
-(assume a1 (! (forall ((?v0 A_b_fun$) (?v1 A$) (?v2 B$) (?v3 A$)) (! (= (! (fun_app$ (! (fun_upd$ ?v0 ?v1 ?v2) :named @p_2) ?v3) :named @p_4) (! (ite (! (= ?v1 ?v3) :named @p_8) ?v2 (! (fun_app$ ?v0 ?v3) :named @p_12)) :named @p_14)) :named @p_16)) :named @p_1))
-(assume a2 (! (not (! (=> (! (and (! (not (! (= i$ i1$) :named @p_62)) :named @p_40) (! (not (! (= i$ i2$) :named @p_46)) :named @p_41)) :named @p_33) (! (= (! (fun_app$ (fun_upd$ (! (fun_upd$ f$ i1$ v1$) :named @p_47) i2$ v2$) i$) :named @p_45) (! (fun_app$ f$ i$) :named @p_63)) :named @p_34)) :named @p_38)) :named @p_32))
+(assume axiom1 (! (forall ((?v0 A$) (?v1 B$)) (! (= ?v0 (! (fst$a (! (pair$a ?v0 ?v1) :named @p_3)) :named @p_5)) :named @p_7)) :named @p_1))
+(assume axiom3 (! (forall ((?v0 B$) (?v1 A$)) (! (= ?v1 (! (snd$a (! (pair$ ?v0 ?v1) :named @p_19)) :named @p_21)) :named @p_23)) :named @p_17))
+(assume axiom4 (! (not (! (=> (! (and (! (= p1$ (! (pair$a x$ y$) :named @p_47)) :named @p_41) (! (= p2$ (! (pair$ y$ x$) :named @p_46)) :named @p_42)) :named @p_34) (! (= (! (fst$a p1$) :named @p_52) (! (snd$a p2$) :named @p_54)) :named @p_35)) :named @p_39)) :named @p_33))
+(anchor :step t4 :args ((:= (?v0 A$) veriT_vr4) (:= (?v1 B$) veriT_vr5)))
+(step t4.t1 (cl (! (= ?v0 veriT_vr4) :named @p_2)) :rule refl)
+(step t4.t2 (cl @p_2) :rule refl)
+(step t4.t3 (cl (= ?v1 veriT_vr5)) :rule refl)
+(step t4.t4 (cl (= @p_3 (! (pair$a veriT_vr4 veriT_vr5) :named @p_4))) :rule cong :premises (t4.t2 t4.t3))
+(step t4.t5 (cl (= @p_5 (! (fst$a @p_4) :named @p_6))) :rule cong :premises (t4.t4))
+(step t4.t6 (cl (= @p_7 (! (= veriT_vr4 @p_6) :named @p_8))) :rule cong :premises (t4.t1 t4.t5))
+(step t4 (cl (! (= @p_1 (! (forall ((veriT_vr4 A$) (veriT_vr5 B$)) @p_8) :named @p_10)) :named @p_9)) :rule bind)
+(step t5 (cl (not @p_9) (not @p_1) @p_10) :rule equiv_pos2)
+(step t6 (cl @p_10) :rule th_resolution :premises (axiom1 t4 t5))
+(anchor :step t7 :args ((:= (veriT_vr4 A$) veriT_vr6) (:= (veriT_vr5 B$) veriT_vr7)))
+(step t7.t1 (cl (! (= veriT_vr4 veriT_vr6) :named @p_11)) :rule refl)
+(step t7.t2 (cl @p_11) :rule refl)
+(step t7.t3 (cl (= veriT_vr5 veriT_vr7)) :rule refl)
+(step t7.t4 (cl (= @p_4 (! (pair$a veriT_vr6 veriT_vr7) :named @p_12))) :rule cong :premises (t7.t2 t7.t3))
+(step t7.t5 (cl (= @p_6 (! (fst$a @p_12) :named @p_13))) :rule cong :premises (t7.t4))
+(step t7.t6 (cl (= @p_8 (! (= veriT_vr6 @p_13) :named @p_14))) :rule cong :premises (t7.t1 t7.t5))
+(step t7 (cl (! (= @p_10 (! (forall ((veriT_vr6 A$) (veriT_vr7 B$)) @p_14) :named @p_16)) :named @p_15)) :rule bind)
+(step t8 (cl (not @p_15) (not @p_10) @p_16) :rule equiv_pos2)
+(step t9 (cl @p_16) :rule th_resolution :premises (t6 t7 t8))
+(anchor :step t10 :args ((:= (?v0 B$) veriT_vr12) (:= (?v1 A$) veriT_vr13)))
+(step t10.t1 (cl (! (= ?v1 veriT_vr13) :named @p_18)) :rule refl)
+(step t10.t2 (cl (= ?v0 veriT_vr12)) :rule refl)
+(step t10.t3 (cl @p_18) :rule refl)
+(step t10.t4 (cl (= @p_19 (! (pair$ veriT_vr12 veriT_vr13) :named @p_20))) :rule cong :premises (t10.t2 t10.t3))
+(step t10.t5 (cl (= @p_21 (! (snd$a @p_20) :named @p_22))) :rule cong :premises (t10.t4))
+(step t10.t6 (cl (= @p_23 (! (= veriT_vr13 @p_22) :named @p_24))) :rule cong :premises (t10.t1 t10.t5))
+(step t10 (cl (! (= @p_17 (! (forall ((veriT_vr12 B$) (veriT_vr13 A$)) @p_24) :named @p_26)) :named @p_25)) :rule bind)
+(step t11 (cl (not @p_25) (not @p_17) @p_26) :rule equiv_pos2)
+(step t12 (cl @p_26) :rule th_resolution :premises (axiom3 t10 t11))
+(anchor :step t13 :args ((:= (veriT_vr12 B$) veriT_vr14) (:= (veriT_vr13 A$) veriT_vr15)))
+(step t13.t1 (cl (! (= veriT_vr13 veriT_vr15) :named @p_27)) :rule refl)
+(step t13.t2 (cl (= veriT_vr12 veriT_vr14)) :rule refl)
+(step t13.t3 (cl @p_27) :rule refl)
+(step t13.t4 (cl (= @p_20 (! (pair$ veriT_vr14 veriT_vr15) :named @p_28))) :rule cong :premises (t13.t2 t13.t3))
+(step t13.t5 (cl (= @p_22 (! (snd$a @p_28) :named @p_29))) :rule cong :premises (t13.t4))
+(step t13.t6 (cl (= @p_24 (! (= veriT_vr15 @p_29) :named @p_30))) :rule cong :premises (t13.t1 t13.t5))
+(step t13 (cl (! (= @p_26 (! (forall ((veriT_vr14 B$) (veriT_vr15 A$)) @p_30) :named @p_32)) :named @p_31)) :rule bind)
+(step t14 (cl (not @p_31) (not @p_26) @p_32) :rule equiv_pos2)
+(step t15 (cl @p_32) :rule th_resolution :premises (t12 t13 t14))
+(step t16 (cl (! (= @p_33 (! (and @p_34 (! (not @p_35) :named @p_43)) :named @p_37)) :named @p_36)) :rule bool_simplify)
+(step t17 (cl (! (not @p_36) :named @p_40) (! (not @p_33) :named @p_38) @p_37) :rule equiv_pos2)
+(step t18 (cl (not @p_38) @p_39) :rule not_not)
+(step t19 (cl @p_40 @p_39 @p_37) :rule th_resolution :premises (t18 t17))
+(step t20 (cl @p_37) :rule th_resolution :premises (axiom4 t16 t19))
+(step t21 (cl (! (= @p_37 (! (and @p_41 @p_42 @p_43) :named @p_45)) :named @p_44)) :rule ac_simp)
+(step t22 (cl (not @p_44) (not @p_37) @p_45) :rule equiv_pos2)
+(step t23 (cl @p_45) :rule th_resolution :premises (t20 t21 t22))
+(step t24 (cl @p_41) :rule and :premises (t23))
+(step t25 (cl @p_42) :rule and :premises (t23))
+(step t26 (cl @p_43) :rule and :premises (t23))
+(step t27 (cl (or (! (not @p_32) :named @p_48) (! (= x$ (! (snd$a @p_46) :named @p_55)) :named @p_49))) :rule forall_inst :args ((:= veriT_vr14 y$) (:= veriT_vr15 x$)))
+(step t28 (cl (or (! (not @p_16) :named @p_50) (! (= x$ (! (fst$a @p_47) :named @p_53)) :named @p_51))) :rule forall_inst :args ((:= veriT_vr6 x$) (:= veriT_vr7 y$)))
+(step t29 (cl @p_48 @p_49) :rule or :premises (t27))
+(step t30 (cl @p_49) :rule resolution :premises (t29 t15))
+(step t31 (cl @p_50 @p_51) :rule or :premises (t28))
+(step t32 (cl @p_51) :rule resolution :premises (t31 t9))
+(step t33 (cl (! (not (! (= @p_52 @p_53) :named @p_61)) :named @p_57) (! (not @p_51) :named @p_58) (! (not @p_49) :named @p_59) (not (! (= @p_54 @p_55) :named @p_56)) @p_35) :rule eq_transitive)
+(step t34 (cl (! (not @p_42) :named @p_60) @p_56) :rule eq_congruent)
+(step t35 (cl @p_57 @p_58 @p_59 @p_35 @p_60) :rule th_resolution :premises (t33 t34))
+(step t36 (cl (! (not @p_41) :named @p_62) @p_61) :rule eq_congruent)
+(step t37 (cl @p_58 @p_59 @p_35 @p_60 @p_62) :rule th_resolution :premises (t35 t36))
+(step t38 (cl) :rule resolution :premises (t37 t24 t25 t26 t30 t32))
+d98294078e51b7d929ca2e2c002b0b435565488d 25 0
+unsat
+(assume axiom0 (! (not (! (or (! (= (! (f$ g$ x$) :named @p_1) (! (and (! (fun_app$ g$ x$) :named @p_2) true) :named @p_13)) :named @p_4) (or (! (= @p_1 true) :named @p_5) (! (= @p_2 true) :named @p_6))) :named @p_3)) :named @p_7))
+(step t2 (cl (= @p_3 (! (or @p_4 @p_5 @p_6) :named @p_8))) :rule ac_simp)
+(step t3 (cl (! (= @p_7 (! (not @p_8) :named @p_10)) :named @p_9)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_9) :named @p_12) (! (not @p_7) :named @p_11) @p_10) :rule equiv_pos2)
+(step t5 (cl (not @p_11) @p_3) :rule not_not)
+(step t6 (cl @p_12 @p_3 @p_10) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_10) :rule th_resolution :premises (axiom0 t3 t6))
+(step t8 (cl (= @p_13 (! (and @p_2) :named @p_14))) :rule and_simplify)
+(step t9 (cl (= @p_14 @p_2)) :rule and_simplify)
+(step t10 (cl (= @p_13 @p_2)) :rule trans :premises (t8 t9))
+(step t11 (cl (= @p_4 (! (= @p_1 @p_2) :named @p_15))) :rule cong :premises (t10))
+(step t12 (cl (= @p_5 @p_1)) :rule equiv_simplify)
+(step t13 (cl (= @p_6 @p_2)) :rule equiv_simplify)
+(step t14 (cl (= @p_8 (! (or @p_15 @p_1 @p_2) :named @p_16))) :rule cong :premises (t11 t12 t13))
+(step t15 (cl (! (= @p_10 (! (not @p_16) :named @p_18)) :named @p_17)) :rule cong :premises (t14))
+(step t16 (cl (! (not @p_17) :named @p_20) (! (not @p_10) :named @p_19) @p_18) :rule equiv_pos2)
+(step t17 (cl (not @p_19) @p_8) :rule not_not)
+(step t18 (cl @p_20 @p_8 @p_18) :rule th_resolution :premises (t17 t16))
+(step t19 (cl @p_18) :rule th_resolution :premises (t7 t15 t18))
+(step t20 (cl (not @p_15)) :rule not_or :premises (t19))
+(step t21 (cl @p_1 @p_2) :rule not_equiv1 :premises (t20))
+(step t22 (cl (not @p_1)) :rule not_or :premises (t19))
+(step t23 (cl (not @p_2)) :rule not_or :premises (t19))
+(step t24 (cl) :rule resolution :premises (t21 t22 t23))
+a6d9c8f29a4df3b9eaa40764e38a8a41a8961f01 97 0
+unsat
+(assume axiom1 (! (forall ((?v0 A_b_fun$) (?v1 A$) (?v2 B$) (?v3 A$)) (! (= (! (fun_app$ (! (fun_upd$ ?v0 ?v1 ?v2) :named @p_2) ?v3) :named @p_4) (! (ite (! (= ?v1 ?v3) :named @p_8) ?v2 (! (fun_app$ ?v0 ?v3) :named @p_12)) :named @p_14)) :named @p_16)) :named @p_1))
+(assume axiom2 (! (not (! (=> (! (and (! (not (! (= i$ i1$) :named @p_62)) :named @p_40) (! (not (! (= i$ i2$) :named @p_46)) :named @p_41)) :named @p_33) (! (= (! (fun_app$ (fun_upd$ (! (fun_upd$ f$ i1$ v1$) :named @p_47) i2$ v2$) i$) :named @p_45) (! (fun_app$ f$ i$) :named @p_63)) :named @p_34)) :named @p_38)) :named @p_32))
 (anchor :step t3 :args ((:= (?v0 A_b_fun$) veriT_vr6) (:= (?v1 A$) veriT_vr7) (:= (?v2 B$) veriT_vr8) (:= (?v3 A$) veriT_vr9)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr6) :named @p_11)) :rule refl)
 (step t3.t2 (cl (! (= ?v1 veriT_vr7) :named @p_6)) :rule refl)
@@ -2826,7 +2920,7 @@
 (step t3.t15 (cl (= @p_16 (! (= @p_5 @p_15) :named @p_17))) :rule cong :premises (t3.t6 t3.t14))
 (step t3 (cl (! (= @p_1 (! (forall ((veriT_vr6 A_b_fun$) (veriT_vr7 A$) (veriT_vr8 B$) (veriT_vr9 A$)) @p_17) :named @p_19)) :named @p_18)) :rule bind)
 (step t4 (cl (not @p_18) (not @p_1) @p_19) :rule equiv_pos2)
-(step t5 (cl @p_19) :rule th_resolution :premises (a1 t3 t4))
+(step t5 (cl @p_19) :rule th_resolution :premises (axiom1 t3 t4))
 (anchor :step t6 :args ((:= (veriT_vr6 A_b_fun$) veriT_vr10) (:= (veriT_vr7 A$) veriT_vr11) (:= (veriT_vr8 B$) veriT_vr12) (:= (veriT_vr9 A$) veriT_vr13)))
 (step t6.t1 (cl (! (= veriT_vr6 veriT_vr10) :named @p_26)) :rule refl)
 (step t6.t2 (cl (! (= veriT_vr7 veriT_vr11) :named @p_22)) :rule refl)
@@ -2850,7 +2944,7 @@
 (step t10 (cl (! (not @p_35) :named @p_39) (! (not @p_32) :named @p_37) @p_36) :rule equiv_pos2)
 (step t11 (cl (not @p_37) @p_38) :rule not_not)
 (step t12 (cl @p_39 @p_38 @p_36) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_36) :rule th_resolution :premises (a2 t9 t12))
+(step t13 (cl @p_36) :rule th_resolution :premises (axiom2 t9 t12))
 (step t14 (cl (! (= @p_36 (! (and @p_40 @p_41 @p_42) :named @p_44)) :named @p_43)) :rule ac_simp)
 (step t15 (cl (not @p_43) (not @p_36) @p_44) :rule equiv_pos2)
 (step t16 (cl @p_44) :rule th_resolution :premises (t13 t14 t15))
@@ -2902,106 +2996,12 @@
 (step t52 (cl @p_73) :rule resolution :premises (t48 t51))
 (step t53 (cl (not @p_58) (not @p_60) (not @p_71) (not @p_73) @p_34) :rule eq_transitive)
 (step t54 (cl) :rule resolution :premises (t53 t19 t34 t36 t50 t52))
-22e3ad7a3ba163eb9b2786d30a493e2c63cf8f81 67 0
+6c882ad63eb28539c511430af509d5d6577b2638 38 0
 unsat
-(assume a1 (! (forall ((?v0 A$) (?v1 B$)) (! (= ?v0 (! (fst$a (! (pair$a ?v0 ?v1) :named @p_3)) :named @p_5)) :named @p_7)) :named @p_1))
-(assume a3 (! (forall ((?v0 B$) (?v1 A$)) (! (= ?v1 (! (snd$a (! (pair$ ?v0 ?v1) :named @p_19)) :named @p_21)) :named @p_23)) :named @p_17))
-(assume a4 (! (not (! (=> (! (and (! (= p1$ (! (pair$a x$ y$) :named @p_47)) :named @p_41) (! (= p2$ (! (pair$ y$ x$) :named @p_46)) :named @p_42)) :named @p_34) (! (= (! (fst$a p1$) :named @p_52) (! (snd$a p2$) :named @p_54)) :named @p_35)) :named @p_39)) :named @p_33))
-(anchor :step t4 :args ((:= (?v0 A$) veriT_vr4) (:= (?v1 B$) veriT_vr5)))
-(step t4.t1 (cl (! (= ?v0 veriT_vr4) :named @p_2)) :rule refl)
-(step t4.t2 (cl @p_2) :rule refl)
-(step t4.t3 (cl (= ?v1 veriT_vr5)) :rule refl)
-(step t4.t4 (cl (= @p_3 (! (pair$a veriT_vr4 veriT_vr5) :named @p_4))) :rule cong :premises (t4.t2 t4.t3))
-(step t4.t5 (cl (= @p_5 (! (fst$a @p_4) :named @p_6))) :rule cong :premises (t4.t4))
-(step t4.t6 (cl (= @p_7 (! (= veriT_vr4 @p_6) :named @p_8))) :rule cong :premises (t4.t1 t4.t5))
-(step t4 (cl (! (= @p_1 (! (forall ((veriT_vr4 A$) (veriT_vr5 B$)) @p_8) :named @p_10)) :named @p_9)) :rule bind)
-(step t5 (cl (not @p_9) (not @p_1) @p_10) :rule equiv_pos2)
-(step t6 (cl @p_10) :rule th_resolution :premises (a1 t4 t5))
-(anchor :step t7 :args ((:= (veriT_vr4 A$) veriT_vr6) (:= (veriT_vr5 B$) veriT_vr7)))
-(step t7.t1 (cl (! (= veriT_vr4 veriT_vr6) :named @p_11)) :rule refl)
-(step t7.t2 (cl @p_11) :rule refl)
-(step t7.t3 (cl (= veriT_vr5 veriT_vr7)) :rule refl)
-(step t7.t4 (cl (= @p_4 (! (pair$a veriT_vr6 veriT_vr7) :named @p_12))) :rule cong :premises (t7.t2 t7.t3))
-(step t7.t5 (cl (= @p_6 (! (fst$a @p_12) :named @p_13))) :rule cong :premises (t7.t4))
-(step t7.t6 (cl (= @p_8 (! (= veriT_vr6 @p_13) :named @p_14))) :rule cong :premises (t7.t1 t7.t5))
-(step t7 (cl (! (= @p_10 (! (forall ((veriT_vr6 A$) (veriT_vr7 B$)) @p_14) :named @p_16)) :named @p_15)) :rule bind)
-(step t8 (cl (not @p_15) (not @p_10) @p_16) :rule equiv_pos2)
-(step t9 (cl @p_16) :rule th_resolution :premises (t6 t7 t8))
-(anchor :step t10 :args ((:= (?v0 B$) veriT_vr12) (:= (?v1 A$) veriT_vr13)))
-(step t10.t1 (cl (! (= ?v1 veriT_vr13) :named @p_18)) :rule refl)
-(step t10.t2 (cl (= ?v0 veriT_vr12)) :rule refl)
-(step t10.t3 (cl @p_18) :rule refl)
-(step t10.t4 (cl (= @p_19 (! (pair$ veriT_vr12 veriT_vr13) :named @p_20))) :rule cong :premises (t10.t2 t10.t3))
-(step t10.t5 (cl (= @p_21 (! (snd$a @p_20) :named @p_22))) :rule cong :premises (t10.t4))
-(step t10.t6 (cl (= @p_23 (! (= veriT_vr13 @p_22) :named @p_24))) :rule cong :premises (t10.t1 t10.t5))
-(step t10 (cl (! (= @p_17 (! (forall ((veriT_vr12 B$) (veriT_vr13 A$)) @p_24) :named @p_26)) :named @p_25)) :rule bind)
-(step t11 (cl (not @p_25) (not @p_17) @p_26) :rule equiv_pos2)
-(step t12 (cl @p_26) :rule th_resolution :premises (a3 t10 t11))
-(anchor :step t13 :args ((:= (veriT_vr12 B$) veriT_vr14) (:= (veriT_vr13 A$) veriT_vr15)))
-(step t13.t1 (cl (! (= veriT_vr13 veriT_vr15) :named @p_27)) :rule refl)
-(step t13.t2 (cl (= veriT_vr12 veriT_vr14)) :rule refl)
-(step t13.t3 (cl @p_27) :rule refl)
-(step t13.t4 (cl (= @p_20 (! (pair$ veriT_vr14 veriT_vr15) :named @p_28))) :rule cong :premises (t13.t2 t13.t3))
-(step t13.t5 (cl (= @p_22 (! (snd$a @p_28) :named @p_29))) :rule cong :premises (t13.t4))
-(step t13.t6 (cl (= @p_24 (! (= veriT_vr15 @p_29) :named @p_30))) :rule cong :premises (t13.t1 t13.t5))
-(step t13 (cl (! (= @p_26 (! (forall ((veriT_vr14 B$) (veriT_vr15 A$)) @p_30) :named @p_32)) :named @p_31)) :rule bind)
-(step t14 (cl (not @p_31) (not @p_26) @p_32) :rule equiv_pos2)
-(step t15 (cl @p_32) :rule th_resolution :premises (t12 t13 t14))
-(step t16 (cl (! (= @p_33 (! (and @p_34 (! (not @p_35) :named @p_43)) :named @p_37)) :named @p_36)) :rule bool_simplify)
-(step t17 (cl (! (not @p_36) :named @p_40) (! (not @p_33) :named @p_38) @p_37) :rule equiv_pos2)
-(step t18 (cl (not @p_38) @p_39) :rule not_not)
-(step t19 (cl @p_40 @p_39 @p_37) :rule th_resolution :premises (t18 t17))
-(step t20 (cl @p_37) :rule th_resolution :premises (a4 t16 t19))
-(step t21 (cl (! (= @p_37 (! (and @p_41 @p_42 @p_43) :named @p_45)) :named @p_44)) :rule ac_simp)
-(step t22 (cl (not @p_44) (not @p_37) @p_45) :rule equiv_pos2)
-(step t23 (cl @p_45) :rule th_resolution :premises (t20 t21 t22))
-(step t24 (cl @p_41) :rule and :premises (t23))
-(step t25 (cl @p_42) :rule and :premises (t23))
-(step t26 (cl @p_43) :rule and :premises (t23))
-(step t27 (cl (or (! (not @p_32) :named @p_48) (! (= x$ (! (snd$a @p_46) :named @p_55)) :named @p_49))) :rule forall_inst :args ((:= veriT_vr14 y$) (:= veriT_vr15 x$)))
-(step t28 (cl (or (! (not @p_16) :named @p_50) (! (= x$ (! (fst$a @p_47) :named @p_53)) :named @p_51))) :rule forall_inst :args ((:= veriT_vr6 x$) (:= veriT_vr7 y$)))
-(step t29 (cl @p_48 @p_49) :rule or :premises (t27))
-(step t30 (cl @p_49) :rule resolution :premises (t29 t15))
-(step t31 (cl @p_50 @p_51) :rule or :premises (t28))
-(step t32 (cl @p_51) :rule resolution :premises (t31 t9))
-(step t33 (cl (! (not (! (= @p_52 @p_53) :named @p_61)) :named @p_57) (! (not @p_51) :named @p_58) (! (not @p_49) :named @p_59) (not (! (= @p_54 @p_55) :named @p_56)) @p_35) :rule eq_transitive)
-(step t34 (cl (! (not @p_42) :named @p_60) @p_56) :rule eq_congruent)
-(step t35 (cl @p_57 @p_58 @p_59 @p_35 @p_60) :rule th_resolution :premises (t33 t34))
-(step t36 (cl (! (not @p_41) :named @p_62) @p_61) :rule eq_congruent)
-(step t37 (cl @p_58 @p_59 @p_35 @p_60 @p_62) :rule th_resolution :premises (t35 t36))
-(step t38 (cl) :rule resolution :premises (t37 t24 t25 t26 t30 t32))
-5c8ad736381ed7e2bc55bcefd8a06994784b278f 25 0
-unsat
-(assume a0 (! (not (! (or (! (= (! (f$ g$ x$) :named @p_1) (! (and (! (fun_app$ g$ x$) :named @p_2) true) :named @p_13)) :named @p_4) (or (! (= @p_1 true) :named @p_5) (! (= @p_2 true) :named @p_6))) :named @p_3)) :named @p_7))
-(step t2 (cl (= @p_3 (! (or @p_4 @p_5 @p_6) :named @p_8))) :rule ac_simp)
-(step t3 (cl (! (= @p_7 (! (not @p_8) :named @p_10)) :named @p_9)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_9) :named @p_12) (! (not @p_7) :named @p_11) @p_10) :rule equiv_pos2)
-(step t5 (cl (not @p_11) @p_3) :rule not_not)
-(step t6 (cl @p_12 @p_3 @p_10) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_10) :rule th_resolution :premises (a0 t3 t6))
-(step t8 (cl (= @p_13 (! (and @p_2) :named @p_14))) :rule and_simplify)
-(step t9 (cl (= @p_14 @p_2)) :rule and_simplify)
-(step t10 (cl (= @p_13 @p_2)) :rule trans :premises (t8 t9))
-(step t11 (cl (= @p_4 (! (= @p_1 @p_2) :named @p_15))) :rule cong :premises (t10))
-(step t12 (cl (= @p_5 @p_1)) :rule equiv_simplify)
-(step t13 (cl (= @p_6 @p_2)) :rule equiv_simplify)
-(step t14 (cl (= @p_8 (! (or @p_15 @p_1 @p_2) :named @p_16))) :rule cong :premises (t11 t12 t13))
-(step t15 (cl (! (= @p_10 (! (not @p_16) :named @p_18)) :named @p_17)) :rule cong :premises (t14))
-(step t16 (cl (! (not @p_17) :named @p_20) (! (not @p_10) :named @p_19) @p_18) :rule equiv_pos2)
-(step t17 (cl (not @p_19) @p_8) :rule not_not)
-(step t18 (cl @p_20 @p_8 @p_18) :rule th_resolution :premises (t17 t16))
-(step t19 (cl @p_18) :rule th_resolution :premises (t7 t15 t18))
-(step t20 (cl (not @p_15)) :rule not_or :premises (t19))
-(step t21 (cl @p_1 @p_2) :rule not_equiv1 :premises (t20))
-(step t22 (cl (not @p_1)) :rule not_or :premises (t19))
-(step t23 (cl (not @p_2)) :rule not_or :premises (t19))
-(step t24 (cl) :rule resolution :premises (t21 t22 t23))
-866c42407f20d04dcdd5beace79be280ba36c916 38 0
-unsat
-(assume a0 (! (forall ((?v0 A$)) (! (= ?v0 (! (id$ ?v0) :named @p_4)) :named @p_6)) :named @p_2))
-(assume a1 (forall ((?v0 Bool)) (= (id$a ?v0) ?v0)))
-(assume a2 (! (not (! (and (! (= x$ (id$ x$)) :named @p_23) (! (= (! (id$a true) :named @p_17) true) :named @p_1)) :named @p_22)) :named @p_24))
-(step t4 (cl (! (and (! (= (! (id$a false) :named @p_16) false) :named @p_15) @p_1) :named @p_18)) :rule bfun_elim :premises (a1))
+(assume axiom0 (! (forall ((?v0 A$)) (! (= ?v0 (! (id$ ?v0) :named @p_4)) :named @p_6)) :named @p_2))
+(assume axiom1 (forall ((?v0 Bool)) (= (id$a ?v0) ?v0)))
+(assume axiom2 (! (not (! (and (! (= x$ (id$ x$)) :named @p_23) (! (= (! (id$a true) :named @p_17) true) :named @p_1)) :named @p_22)) :named @p_24))
+(step t4 (cl (! (and (! (= (! (id$a false) :named @p_16) false) :named @p_15) @p_1) :named @p_18)) :rule bfun_elim :premises (axiom1))
 (anchor :step t5 :args ((:= (?v0 A$) veriT_vr0)))
 (step t5.t1 (cl (! (= ?v0 veriT_vr0) :named @p_3)) :rule refl)
 (step t5.t2 (cl @p_3) :rule refl)
@@ -3009,7 +3009,7 @@
 (step t5.t4 (cl (= @p_6 (! (= veriT_vr0 @p_5) :named @p_7))) :rule cong :premises (t5.t1 t5.t3))
 (step t5 (cl (! (= @p_2 (! (forall ((veriT_vr0 A$)) @p_7) :named @p_9)) :named @p_8)) :rule bind)
 (step t6 (cl (not @p_8) (not @p_2) @p_9) :rule equiv_pos2)
-(step t7 (cl @p_9) :rule th_resolution :premises (a0 t5 t6))
+(step t7 (cl @p_9) :rule th_resolution :premises (axiom0 t5 t6))
 (anchor :step t8 :args ((:= (veriT_vr0 A$) veriT_vr1)))
 (step t8.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_10)) :rule refl)
 (step t8.t2 (cl @p_10) :rule refl)
@@ -3028,17 +3028,17 @@
 (step t18 (cl (! (not @p_26) :named @p_29) (! (not @p_24) :named @p_28) @p_27) :rule equiv_pos2)
 (step t19 (cl (not @p_28) @p_22) :rule not_not)
 (step t20 (cl @p_29 @p_22 @p_27) :rule th_resolution :premises (t19 t18))
-(step t21 (cl @p_27) :rule th_resolution :premises (a2 t17 t20))
+(step t21 (cl @p_27) :rule th_resolution :premises (axiom2 t17 t20))
 (step t22 (cl @p_17) :rule and :premises (t15))
 (step t23 (cl (! (not @p_23) :named @p_30) (not @p_17)) :rule not_and :premises (t21))
 (step t24 (cl @p_30) :rule resolution :premises (t23 t22))
 (step t25 (cl (or (! (not @p_14) :named @p_31) @p_23)) :rule forall_inst :args ((:= veriT_vr1 x$)))
 (step t26 (cl @p_31 @p_23) :rule or :premises (t25))
 (step t27 (cl) :rule resolution :premises (t26 t10 t24))
-75683ef8683272f0e70a656b2aaeeba1b535ac8d 27 0
+395426c1e77b0b2b43dd37f4fdc5b1794b758773 27 0
 unsat
-(assume a0 (not (=> (f$ (! (exists ((?v0 A$)) (! (g$ ?v0) :named @p_2)) :named @p_1)) true)))
-(step t2 (cl (! (not (! (=> (! (ite @p_1 (! (f$ true) :named @p_6) (! (f$ false) :named @p_7)) :named @p_4) true) :named @p_8)) :named @p_10)) :rule bfun_elim :premises (a0))
+(assume axiom0 (not (=> (f$ (! (exists ((?v0 A$)) (! (g$ ?v0) :named @p_2)) :named @p_1)) true)))
+(step t2 (cl (! (not (! (=> (! (ite @p_1 (! (f$ true) :named @p_6) (! (f$ false) :named @p_7)) :named @p_4) true) :named @p_8)) :named @p_10)) :rule bfun_elim :premises (axiom0))
 (anchor :step t3 :args ((:= (?v0 A$) veriT_vr0)))
 (step t3.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
 (step t3.t2 (cl (= @p_2 (! (g$ veriT_vr0) :named @p_3))) :rule cong :premises (t3.t1))
@@ -3063,10 +3063,10 @@
 (step t21 (cl false) :rule th_resolution :premises (t15 t19 t20))
 (step t22 (cl (not false)) :rule false)
 (step t23 (cl) :rule resolution :premises (t21 t22))
-bfe8d775ab64ce32fa8986be49dfdcae57d75099 60 0
+2bbe312ac0bf24de2abf59ed85b8b3b02d04d4eb 60 0
 unsat
-(assume a0 (! (forall ((?v0 Int) (?v1 Int)) (! (= (! (fun_app$ (! (fun_app$a uu$ ?v0) :named @p_2) ?v1) :named @p_4) (! (<= ?v0 ?v1) :named @p_8)) :named @p_10)) :named @p_1))
-(assume a1 (! (not (! (=> (! (= uu$ le$) :named @p_23) (! (fun_app$ (! (fun_app$a le$ 3) :named @p_40) 42) :named @p_24)) :named @p_28)) :named @p_22))
+(assume axiom0 (! (forall ((?v0 Int) (?v1 Int)) (! (= (! (fun_app$ (! (fun_app$a uu$ ?v0) :named @p_2) ?v1) :named @p_4) (! (<= ?v0 ?v1) :named @p_8)) :named @p_10)) :named @p_1))
+(assume axiom1 (! (not (! (=> (! (= uu$ le$) :named @p_23) (! (fun_app$ (! (fun_app$a le$ 3) :named @p_40) 42) :named @p_24)) :named @p_28)) :named @p_22))
 (anchor :step t3 :args ((:= (?v0 Int) veriT_vr0) (:= (?v1 Int) veriT_vr1)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr0) :named @p_6)) :rule refl)
 (step t3.t2 (cl (= @p_2 (! (fun_app$a uu$ veriT_vr0) :named @p_3))) :rule cong :premises (t3.t1))
@@ -3078,7 +3078,7 @@
 (step t3.t8 (cl (= @p_10 (! (= @p_5 @p_9) :named @p_11))) :rule cong :premises (t3.t4 t3.t7))
 (step t3 (cl (! (= @p_1 (! (forall ((veriT_vr0 Int) (veriT_vr1 Int)) @p_11) :named @p_13)) :named @p_12)) :rule bind)
 (step t4 (cl (not @p_12) (not @p_1) @p_13) :rule equiv_pos2)
-(step t5 (cl @p_13) :rule th_resolution :premises (a0 t3 t4))
+(step t5 (cl @p_13) :rule th_resolution :premises (axiom0 t3 t4))
 (anchor :step t6 :args ((:= (veriT_vr0 Int) veriT_vr2) (:= (veriT_vr1 Int) veriT_vr3)))
 (step t6.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_16)) :rule refl)
 (step t6.t2 (cl (= @p_3 (! (fun_app$a uu$ veriT_vr2) :named @p_14))) :rule cong :premises (t6.t1))
@@ -3095,7 +3095,7 @@
 (step t10 (cl (! (not @p_25) :named @p_29) (! (not @p_22) :named @p_27) @p_26) :rule equiv_pos2)
 (step t11 (cl (not @p_27) @p_28) :rule not_not)
 (step t12 (cl @p_29 @p_28 @p_26) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_26) :rule th_resolution :premises (a1 t9 t12))
+(step t13 (cl @p_26) :rule th_resolution :premises (axiom1 t9 t12))
 (step t14 (cl @p_23) :rule and :premises (t13))
 (step t15 (cl @p_30) :rule and :premises (t13))
 (step t16 (cl (or (! (not @p_21) :named @p_37) (! (= (! (fun_app$ (! (fun_app$a uu$ 3) :named @p_41) 42) :named @p_32) (! (<= 3 42) :named @p_33)) :named @p_31))) :rule forall_inst :args ((:= veriT_vr2 3) (:= veriT_vr3 42)))
@@ -3124,10 +3124,10 @@
 (step t31 (cl @p_47) :rule eq_reflexive)
 (step t32 (cl @p_42 @p_24 @p_45) :rule th_resolution :premises (t30 t31))
 (step t33 (cl) :rule resolution :premises (t32 t14 t15 t25))
-c16c43a541a3283a006315d4b74b5196ee73be5b 27 0
+cff62aa4cee92583faa1651c31b596d6853191d1 27 0
 unsat
-(assume a0 (not (=> (f$ (! (forall ((?v0 A$)) (! (g$ ?v0) :named @p_2)) :named @p_1)) true)))
-(step t2 (cl (! (not (! (=> (! (ite @p_1 (! (f$ true) :named @p_6) (! (f$ false) :named @p_7)) :named @p_4) true) :named @p_8)) :named @p_10)) :rule bfun_elim :premises (a0))
+(assume axiom0 (not (=> (f$ (! (forall ((?v0 A$)) (! (g$ ?v0) :named @p_2)) :named @p_1)) true)))
+(step t2 (cl (! (not (! (=> (! (ite @p_1 (! (f$ true) :named @p_6) (! (f$ false) :named @p_7)) :named @p_4) true) :named @p_8)) :named @p_10)) :rule bfun_elim :premises (axiom0))
 (anchor :step t3 :args ((:= (?v0 A$) veriT_vr0)))
 (step t3.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
 (step t3.t2 (cl (= @p_2 (! (g$ veriT_vr0) :named @p_3))) :rule cong :premises (t3.t1))
@@ -3152,12 +3152,12 @@
 (step t21 (cl false) :rule th_resolution :premises (t15 t19 t20))
 (step t22 (cl (not false)) :rule false)
 (step t23 (cl) :rule resolution :premises (t21 t22))
-2224e31ba45ff13284551d05730c64492fbe999c 125 0
+b98ce8490503b759ff8b992327f85a4088d1bb79 125 0
 unsat
-(assume a0 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uu$ ?v0) :named @p_2) (! (+ ?v0 1) :named @p_5)) :named @p_7)) :named @p_1))
-(assume a1 (! (forall ((?v0 Int_int_fun$)) (! (= nil$ (! (map$ ?v0 nil$) :named @p_22)) :named @p_24)) :named @p_21))
-(assume a2 (! (forall ((?v0 Int_int_fun$) (?v1 Int) (?v2 Int_list$)) (! (= (! (map$ ?v0 (! (cons$ ?v1 ?v2) :named @p_33)) :named @p_35) (! (cons$ (! (fun_app$ ?v0 ?v1) :named @p_39) (! (map$ ?v0 ?v2) :named @p_42)) :named @p_44)) :named @p_46)) :named @p_32))
-(assume a3 (not (! (= (! (map$ uu$ (cons$ 0 (! (cons$ 1 nil$) :named @p_62))) :named @p_61) (! (cons$ 1 (! (cons$ 2 nil$) :named @p_90)) :named @p_86)) :named @p_88)))
+(assume axiom0 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uu$ ?v0) :named @p_2) (! (+ ?v0 1) :named @p_5)) :named @p_7)) :named @p_1))
+(assume axiom1 (! (forall ((?v0 Int_int_fun$)) (! (= nil$ (! (map$ ?v0 nil$) :named @p_22)) :named @p_24)) :named @p_21))
+(assume axiom2 (! (forall ((?v0 Int_int_fun$) (?v1 Int) (?v2 Int_list$)) (! (= (! (map$ ?v0 (! (cons$ ?v1 ?v2) :named @p_33)) :named @p_35) (! (cons$ (! (fun_app$ ?v0 ?v1) :named @p_39) (! (map$ ?v0 ?v2) :named @p_42)) :named @p_44)) :named @p_46)) :named @p_32))
+(assume axiom3 (not (! (= (! (map$ uu$ (cons$ 0 (! (cons$ 1 nil$) :named @p_62))) :named @p_61) (! (cons$ 1 (! (cons$ 2 nil$) :named @p_90)) :named @p_86)) :named @p_88)))
 (anchor :step t5 :args ((:= (?v0 Int) veriT_vr0)))
 (step t5.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
 (step t5.t2 (cl (= @p_2 (! (fun_app$ uu$ veriT_vr0) :named @p_3))) :rule cong :premises (t5.t1))
@@ -3166,7 +3166,7 @@
 (step t5.t5 (cl (= @p_7 (! (= @p_3 @p_6) :named @p_8))) :rule cong :premises (t5.t2 t5.t4))
 (step t5 (cl (! (= @p_1 (! (forall ((veriT_vr0 Int)) @p_8) :named @p_10)) :named @p_9)) :rule bind)
 (step t6 (cl (not @p_9) (not @p_1) @p_10) :rule equiv_pos2)
-(step t7 (cl @p_10) :rule th_resolution :premises (a0 t5 t6))
+(step t7 (cl @p_10) :rule th_resolution :premises (axiom0 t5 t6))
 (anchor :step t8 :args ((veriT_vr0 Int)))
 (step t8.t1 (cl (= @p_6 (! (+ 1 veriT_vr0) :named @p_11))) :rule sum_simplify)
 (step t8.t2 (cl (= @p_8 (! (= @p_3 @p_11) :named @p_12))) :rule cong :premises (t8.t1))
@@ -3188,7 +3188,7 @@
 (step t14.t3 (cl (= @p_24 (! (= nil$ @p_23) :named @p_25))) :rule cong :premises (t14.t2))
 (step t14 (cl (! (= @p_21 (! (forall ((veriT_vr2 Int_int_fun$)) @p_25) :named @p_27)) :named @p_26)) :rule bind)
 (step t15 (cl (not @p_26) (not @p_21) @p_27) :rule equiv_pos2)
-(step t16 (cl @p_27) :rule th_resolution :premises (a1 t14 t15))
+(step t16 (cl @p_27) :rule th_resolution :premises (axiom1 t14 t15))
 (anchor :step t17 :args ((:= (veriT_vr2 Int_int_fun$) veriT_vr3)))
 (step t17.t1 (cl (= veriT_vr2 veriT_vr3)) :rule refl)
 (step t17.t2 (cl (= @p_23 (! (map$ veriT_vr3 nil$) :named @p_28))) :rule cong :premises (t17.t1))
@@ -3212,7 +3212,7 @@
 (step t20.t13 (cl (= @p_46 (! (= @p_36 @p_45) :named @p_47))) :rule cong :premises (t20.t5 t20.t12))
 (step t20 (cl (! (= @p_32 (! (forall ((veriT_vr4 Int_int_fun$) (veriT_vr5 Int) (veriT_vr6 Int_list$)) @p_47) :named @p_49)) :named @p_48)) :rule bind)
 (step t21 (cl (not @p_48) (not @p_32) @p_49) :rule equiv_pos2)
-(step t22 (cl @p_49) :rule th_resolution :premises (a2 t20 t21))
+(step t22 (cl @p_49) :rule th_resolution :premises (axiom2 t20 t21))
 (anchor :step t23 :args ((:= (veriT_vr4 Int_int_fun$) veriT_vr7) (:= (veriT_vr5 Int) veriT_vr8) (:= (veriT_vr6 Int_list$) veriT_vr9)))
 (step t23.t1 (cl (! (= veriT_vr4 veriT_vr7) :named @p_52)) :rule refl)
 (step t23.t2 (cl (! (= veriT_vr5 veriT_vr8) :named @p_53)) :rule refl)
@@ -3277,10 +3277,10 @@
 (step t58 (cl @p_96 @p_93 @p_94 @p_97) :rule th_resolution :premises (t56 t57))
 (step t59 (cl @p_89 @p_91 @p_96 @p_94 @p_97) :rule th_resolution :premises (t55 t58))
 (step t60 (cl @p_98 @p_88 @p_89 @p_96 @p_94 @p_97) :rule th_resolution :premises (t54 t59))
-(step t61 (cl) :rule resolution :premises (t60 a3 t28 t39 t41 t51 t53))
-9bfeafd531163b7b5dc1f3e29f35b01c7ed668dc 23 0
+(step t61 (cl) :rule resolution :premises (t60 axiom3 t28 t39 t41 t51 t53))
+4bfba84466bed875a9d6690636344a2452d6f312 23 0
 unsat
-(assume a0 (! (not (! (or (! (forall ((?v0 A$)) (! (p$ ?v0) :named @p_2)) :named @p_1) (! (not @p_1) :named @p_4)) :named @p_6)) :named @p_8))
+(assume axiom0 (! (not (! (or (! (forall ((?v0 A$)) (! (p$ ?v0) :named @p_2)) :named @p_1) (! (not @p_1) :named @p_4)) :named @p_6)) :named @p_8))
 (anchor :step t2 :args ((:= (?v0 A$) veriT_vr0)))
 (step t2.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
 (step t2.t2 (cl (= @p_2 (! (p$ veriT_vr0) :named @p_3))) :rule cong :premises (t2.t1))
@@ -3291,7 +3291,7 @@
 (step t6 (cl (! (not @p_10) :named @p_13) (! (not @p_8) :named @p_12) @p_11) :rule equiv_pos2)
 (step t7 (cl (not @p_12) @p_6) :rule not_not)
 (step t8 (cl @p_13 @p_6 @p_11) :rule th_resolution :premises (t7 t6))
-(step t9 (cl @p_11) :rule th_resolution :premises (a0 t5 t8))
+(step t9 (cl @p_11) :rule th_resolution :premises (axiom0 t5 t8))
 (step t10 (cl (= @p_9 true)) :rule or_simplify)
 (step t11 (cl (= @p_11 (! (not true) :named @p_14))) :rule cong :premises (t10))
 (step t12 (cl (= @p_14 false)) :rule not_simplify)
@@ -3302,10 +3302,59 @@
 (step t17 (cl false) :rule th_resolution :premises (t9 t13 t16))
 (step t18 (cl (not false)) :rule false)
 (step t19 (cl) :rule resolution :premises (t17 t18))
-3fb3269903eddb271bcd0f8b72a806a38020c0d1 107 0
+2f429461f6d8832eb5f04c2d4afd47dfd1b769d9 48 0
 unsat
-(assume a0 (! (forall ((?v0 Int)) (! (= (! (dec_10$ ?v0) :named @p_2) (! (ite (! (< ?v0 10) :named @p_5) ?v0 (! (dec_10$ (! (- ?v0 10) :named @p_7)) :named @p_9)) :named @p_11)) :named @p_13)) :named @p_1))
-(assume a1 (not (! (= (! (dec_10$ (! (* 4 (! (dec_10$ 4) :named @p_38)) :named @p_27)) :named @p_26) 6) :named @p_74)))
+(assume axiom2 (! (forall ((?v0 A$) (?v1 A$) (?v2 A$)) (! (=> (! (and (! (less_eq$ ?v0 ?v1) :named @p_4) (! (less_eq$ ?v1 ?v2) :named @p_7)) :named @p_9) (! (less_eq$ ?v0 ?v2) :named @p_13)) :named @p_15)) :named @p_3))
+(assume axiom3 (! (less_eq$ (! (sup$ (collect$ uu$)) :named @p_2) (! (sup$ (collect$ uua$)) :named @p_1)) :named @p_31))
+(assume axiom4 (! (less_eq$ @p_1 @p_2) :named @p_32))
+(assume axiom5 (not (! (less_eq$ @p_2 @p_2) :named @p_33)))
+(anchor :step t5 :args ((:= (?v0 A$) veriT_vr4) (:= (?v1 A$) veriT_vr5) (:= (?v2 A$) veriT_vr6)))
+(step t5.t1 (cl (! (= ?v0 veriT_vr4) :named @p_11)) :rule refl)
+(step t5.t2 (cl (! (= ?v1 veriT_vr5) :named @p_6)) :rule refl)
+(step t5.t3 (cl (= @p_4 (! (less_eq$ veriT_vr4 veriT_vr5) :named @p_5))) :rule cong :premises (t5.t1 t5.t2))
+(step t5.t4 (cl @p_6) :rule refl)
+(step t5.t5 (cl (! (= ?v2 veriT_vr6) :named @p_12)) :rule refl)
+(step t5.t6 (cl (= @p_7 (! (less_eq$ veriT_vr5 veriT_vr6) :named @p_8))) :rule cong :premises (t5.t4 t5.t5))
+(step t5.t7 (cl (= @p_9 (! (and @p_5 @p_8) :named @p_10))) :rule cong :premises (t5.t3 t5.t6))
+(step t5.t8 (cl @p_11) :rule refl)
+(step t5.t9 (cl @p_12) :rule refl)
+(step t5.t10 (cl (= @p_13 (! (less_eq$ veriT_vr4 veriT_vr6) :named @p_14))) :rule cong :premises (t5.t8 t5.t9))
+(step t5.t11 (cl (= @p_15 (! (=> @p_10 @p_14) :named @p_16))) :rule cong :premises (t5.t7 t5.t10))
+(step t5 (cl (! (= @p_3 (! (forall ((veriT_vr4 A$) (veriT_vr5 A$) (veriT_vr6 A$)) @p_16) :named @p_18)) :named @p_17)) :rule bind)
+(step t6 (cl (not @p_17) (not @p_3) @p_18) :rule equiv_pos2)
+(step t7 (cl @p_18) :rule th_resolution :premises (axiom2 t5 t6))
+(anchor :step t8 :args ((:= (veriT_vr4 A$) veriT_vr7) (:= (veriT_vr5 A$) veriT_vr8) (:= (veriT_vr6 A$) veriT_vr9)))
+(step t8.t1 (cl (! (= veriT_vr4 veriT_vr7) :named @p_23)) :rule refl)
+(step t8.t2 (cl (! (= veriT_vr5 veriT_vr8) :named @p_20)) :rule refl)
+(step t8.t3 (cl (= @p_5 (! (less_eq$ veriT_vr7 veriT_vr8) :named @p_19))) :rule cong :premises (t8.t1 t8.t2))
+(step t8.t4 (cl @p_20) :rule refl)
+(step t8.t5 (cl (! (= veriT_vr6 veriT_vr9) :named @p_24)) :rule refl)
+(step t8.t6 (cl (= @p_8 (! (less_eq$ veriT_vr8 veriT_vr9) :named @p_21))) :rule cong :premises (t8.t4 t8.t5))
+(step t8.t7 (cl (= @p_10 (! (and @p_19 @p_21) :named @p_22))) :rule cong :premises (t8.t3 t8.t6))
+(step t8.t8 (cl @p_23) :rule refl)
+(step t8.t9 (cl @p_24) :rule refl)
+(step t8.t10 (cl (= @p_14 (! (less_eq$ veriT_vr7 veriT_vr9) :named @p_25))) :rule cong :premises (t8.t8 t8.t9))
+(step t8.t11 (cl (= @p_16 (! (=> @p_22 @p_25) :named @p_26))) :rule cong :premises (t8.t7 t8.t10))
+(step t8 (cl (! (= @p_18 (! (forall ((veriT_vr7 A$) (veriT_vr8 A$) (veriT_vr9 A$)) @p_26) :named @p_28)) :named @p_27)) :rule bind)
+(step t9 (cl (not @p_27) (not @p_18) @p_28) :rule equiv_pos2)
+(step t10 (cl @p_28) :rule th_resolution :premises (t7 t8 t9))
+(step t11 (cl (or (! (not @p_28) :named @p_29) (! (forall ((veriT_vr7 A$) (veriT_vr8 A$) (veriT_vr9 A$)) (or (not @p_19) (not @p_21) @p_25)) :named @p_30))) :rule qnt_cnf)
+(step t12 (cl @p_29 @p_30) :rule or :premises (t11))
+(step t13 (cl (or (! (not @p_30) :named @p_34) (! (or (! (not @p_31) :named @p_39) (! (not @p_32) :named @p_40) @p_33) :named @p_35))) :rule forall_inst :args ((:= veriT_vr7 @p_2) (:= veriT_vr8 @p_1) (:= veriT_vr9 @p_2)))
+(step t14 (cl @p_34 @p_35) :rule or :premises (t13))
+(step t15 (cl (! (or @p_29 @p_35) :named @p_37) (! (not @p_29) :named @p_36)) :rule or_neg)
+(step t16 (cl (not @p_36) @p_28) :rule not_not)
+(step t17 (cl @p_37 @p_28) :rule th_resolution :premises (t16 t15))
+(step t18 (cl @p_37 (! (not @p_35) :named @p_38)) :rule or_neg)
+(step t19 (cl @p_37) :rule th_resolution :premises (t12 t14 t17 t18))
+(step t20 (cl @p_38 @p_39 @p_40 @p_33) :rule or_pos)
+(step t21 (cl @p_29 @p_35) :rule or :premises (t19))
+(step t22 (cl @p_38) :rule resolution :premises (t20 axiom3 axiom4 axiom5))
+(step t23 (cl) :rule resolution :premises (t21 t10 t22))
+8f4bf1893caa103dd59d38dee5686b501773527d 107 0
+unsat
+(assume axiom0 (! (forall ((?v0 Int)) (! (= (! (dec_10$ ?v0) :named @p_2) (! (ite (! (< ?v0 10) :named @p_5) ?v0 (! (dec_10$ (! (- ?v0 10) :named @p_7)) :named @p_9)) :named @p_11)) :named @p_13)) :named @p_1))
+(assume axiom1 (not (! (= (! (dec_10$ (! (* 4 (! (dec_10$ 4) :named @p_38)) :named @p_27)) :named @p_26) 6) :named @p_74)))
 (anchor :step t3 :args ((:= (?v0 Int) veriT_vr0)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
 (step t3.t2 (cl (= @p_2 (! (dec_10$ veriT_vr0) :named @p_3))) :rule cong :premises (t3.t1))
@@ -3319,7 +3368,7 @@
 (step t3.t10 (cl (= @p_13 (! (= @p_3 @p_12) :named @p_14))) :rule cong :premises (t3.t2 t3.t9))
 (step t3 (cl (! (= @p_1 (! (forall ((veriT_vr0 Int)) @p_14) :named @p_16)) :named @p_15)) :rule bind)
 (step t4 (cl (not @p_15) (not @p_1) @p_16) :rule equiv_pos2)
-(step t5 (cl @p_16) :rule th_resolution :premises (a0 t3 t4))
+(step t5 (cl @p_16) :rule th_resolution :premises (axiom0 t3 t4))
 (anchor :step t6 :args ((:= (veriT_vr0 Int) veriT_vr1)))
 (step t6.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_18)) :rule refl)
 (step t6.t2 (cl (= @p_3 (! (dec_10$ veriT_vr1) :named @p_17))) :rule cong :premises (t6.t1))
@@ -3406,94 +3455,45 @@
 (step t57 (cl (! (not @p_64) :named @p_77) (! (not @p_66) :named @p_78) (! (not @p_68) :named @p_79) (! (= 6 @p_31) :named @p_73)) :rule eq_transitive)
 (step t58 (cl (not @p_73) (! (not @p_53) :named @p_75) (! (not @p_51) :named @p_76) @p_74) :rule eq_transitive)
 (step t59 (cl @p_75 @p_76 @p_74 @p_77 @p_78 @p_79) :rule th_resolution :premises (t58 t57))
-(step t60 (cl @p_75) :rule resolution :premises (t59 a1 t29 t45 t49 t56))
+(step t60 (cl @p_75) :rule resolution :premises (t59 axiom1 t29 t45 t49 t56))
 (step t61 (cl @p_30) :rule resolution :premises (t25 t60 t30))
 (step t62 (cl (not @p_30) @p_67) :rule la_generic :args (1 (- 4)))
 (step t63 (cl) :rule resolution :premises (t62 t61 t32))
-21ed8993747dbe3d7fd900d61cf02456b0a38afa 48 0
-unsat
-(assume a2 (! (forall ((?v0 A$) (?v1 A$) (?v2 A$)) (! (=> (! (and (! (less_eq$ ?v0 ?v1) :named @p_4) (! (less_eq$ ?v1 ?v2) :named @p_7)) :named @p_9) (! (less_eq$ ?v0 ?v2) :named @p_13)) :named @p_15)) :named @p_3))
-(assume a3 (! (less_eq$ (! (sup$ (collect$ uu$)) :named @p_2) (! (sup$ (collect$ uua$)) :named @p_1)) :named @p_31))
-(assume a4 (! (less_eq$ @p_1 @p_2) :named @p_32))
-(assume a5 (not (! (less_eq$ @p_2 @p_2) :named @p_33)))
-(anchor :step t5 :args ((:= (?v0 A$) veriT_vr4) (:= (?v1 A$) veriT_vr5) (:= (?v2 A$) veriT_vr6)))
-(step t5.t1 (cl (! (= ?v0 veriT_vr4) :named @p_11)) :rule refl)
-(step t5.t2 (cl (! (= ?v1 veriT_vr5) :named @p_6)) :rule refl)
-(step t5.t3 (cl (= @p_4 (! (less_eq$ veriT_vr4 veriT_vr5) :named @p_5))) :rule cong :premises (t5.t1 t5.t2))
-(step t5.t4 (cl @p_6) :rule refl)
-(step t5.t5 (cl (! (= ?v2 veriT_vr6) :named @p_12)) :rule refl)
-(step t5.t6 (cl (= @p_7 (! (less_eq$ veriT_vr5 veriT_vr6) :named @p_8))) :rule cong :premises (t5.t4 t5.t5))
-(step t5.t7 (cl (= @p_9 (! (and @p_5 @p_8) :named @p_10))) :rule cong :premises (t5.t3 t5.t6))
-(step t5.t8 (cl @p_11) :rule refl)
-(step t5.t9 (cl @p_12) :rule refl)
-(step t5.t10 (cl (= @p_13 (! (less_eq$ veriT_vr4 veriT_vr6) :named @p_14))) :rule cong :premises (t5.t8 t5.t9))
-(step t5.t11 (cl (= @p_15 (! (=> @p_10 @p_14) :named @p_16))) :rule cong :premises (t5.t7 t5.t10))
-(step t5 (cl (! (= @p_3 (! (forall ((veriT_vr4 A$) (veriT_vr5 A$) (veriT_vr6 A$)) @p_16) :named @p_18)) :named @p_17)) :rule bind)
-(step t6 (cl (not @p_17) (not @p_3) @p_18) :rule equiv_pos2)
-(step t7 (cl @p_18) :rule th_resolution :premises (a2 t5 t6))
-(anchor :step t8 :args ((:= (veriT_vr4 A$) veriT_vr7) (:= (veriT_vr5 A$) veriT_vr8) (:= (veriT_vr6 A$) veriT_vr9)))
-(step t8.t1 (cl (! (= veriT_vr4 veriT_vr7) :named @p_23)) :rule refl)
-(step t8.t2 (cl (! (= veriT_vr5 veriT_vr8) :named @p_20)) :rule refl)
-(step t8.t3 (cl (= @p_5 (! (less_eq$ veriT_vr7 veriT_vr8) :named @p_19))) :rule cong :premises (t8.t1 t8.t2))
-(step t8.t4 (cl @p_20) :rule refl)
-(step t8.t5 (cl (! (= veriT_vr6 veriT_vr9) :named @p_24)) :rule refl)
-(step t8.t6 (cl (= @p_8 (! (less_eq$ veriT_vr8 veriT_vr9) :named @p_21))) :rule cong :premises (t8.t4 t8.t5))
-(step t8.t7 (cl (= @p_10 (! (and @p_19 @p_21) :named @p_22))) :rule cong :premises (t8.t3 t8.t6))
-(step t8.t8 (cl @p_23) :rule refl)
-(step t8.t9 (cl @p_24) :rule refl)
-(step t8.t10 (cl (= @p_14 (! (less_eq$ veriT_vr7 veriT_vr9) :named @p_25))) :rule cong :premises (t8.t8 t8.t9))
-(step t8.t11 (cl (= @p_16 (! (=> @p_22 @p_25) :named @p_26))) :rule cong :premises (t8.t7 t8.t10))
-(step t8 (cl (! (= @p_18 (! (forall ((veriT_vr7 A$) (veriT_vr8 A$) (veriT_vr9 A$)) @p_26) :named @p_28)) :named @p_27)) :rule bind)
-(step t9 (cl (not @p_27) (not @p_18) @p_28) :rule equiv_pos2)
-(step t10 (cl @p_28) :rule th_resolution :premises (t7 t8 t9))
-(step t11 (cl (or (! (not @p_28) :named @p_29) (! (forall ((veriT_vr7 A$) (veriT_vr8 A$) (veriT_vr9 A$)) (or (not @p_19) (not @p_21) @p_25)) :named @p_30))) :rule qnt_cnf)
-(step t12 (cl @p_29 @p_30) :rule or :premises (t11))
-(step t13 (cl (or (! (not @p_30) :named @p_34) (! (or (! (not @p_31) :named @p_39) (! (not @p_32) :named @p_40) @p_33) :named @p_35))) :rule forall_inst :args ((:= veriT_vr7 @p_2) (:= veriT_vr8 @p_1) (:= veriT_vr9 @p_2)))
-(step t14 (cl @p_34 @p_35) :rule or :premises (t13))
-(step t15 (cl (! (or @p_29 @p_35) :named @p_37) (! (not @p_29) :named @p_36)) :rule or_neg)
-(step t16 (cl (not @p_36) @p_28) :rule not_not)
-(step t17 (cl @p_37 @p_28) :rule th_resolution :premises (t16 t15))
-(step t18 (cl @p_37 (! (not @p_35) :named @p_38)) :rule or_neg)
-(step t19 (cl @p_37) :rule th_resolution :premises (t12 t14 t17 t18))
-(step t20 (cl @p_38 @p_39 @p_40 @p_33) :rule or_pos)
-(step t21 (cl @p_29 @p_35) :rule or :premises (t19))
-(step t22 (cl @p_38) :rule resolution :premises (t20 a3 a4 a5))
-(step t23 (cl) :rule resolution :premises (t21 t10 t22))
-c14292db1124938af032dfdc907662d28ea67e96 1434 0
+170ac60e28eef34728b56b5ef83cebdd5889b03f 1434 0
 unsat
 (define-fun veriT_sk0 () A$ (! (choice ((veriT_vr57 A$)) (not (! (=> (! (member$ veriT_vr57 (! (set$ (! (remdups$ xs$) :named @p_9)) :named @p_380)) :named @p_429) (! (not (! (member$ veriT_vr57 (! (set$ (! (remdups$ ys$) :named @p_10)) :named @p_381)) :named @p_431)) :named @p_432)) :named @p_433))) :named @p_449))
 (define-fun veriT_sk1 () A$ (! (choice ((veriT_vr58 A$)) (not (! (=> (! (member$ veriT_vr58 @p_381) :named @p_434) (! (not (! (member$ veriT_vr58 @p_380) :named @p_436)) :named @p_437)) :named @p_438))) :named @p_455))
-(define-fun veriT_sk5 () A$ (! (choice ((veriT_vr100 A$)) (not (! (=> (! (member$ veriT_vr100 @p_380) :named @p_828) (! (not (! (member$ veriT_vr100 @p_381) :named @p_830)) :named @p_831)) :named @p_827))) :named @p_802))
-(define-fun veriT_sk6 () A$ (! (choice ((veriT_vr103 A$)) (not (! (=> (! (member$ veriT_vr103 (! (set$ xs$) :named @p_715)) :named @p_879) (! (not (! (member$ veriT_vr103 @p_381) :named @p_881)) :named @p_882)) :named @p_878))) :named @p_857))
+(define-fun veriT_sk4 () A$ (! (choice ((veriT_vr97 A$)) (not (! (=> (! (member$ veriT_vr97 (! (set$ xs$) :named @p_715)) :named @p_825) (! (not (! (member$ veriT_vr97 @p_381) :named @p_827)) :named @p_828)) :named @p_824))) :named @p_799))
+(define-fun veriT_sk6 () A$ (! (choice ((veriT_vr103 A$)) (not (! (=> (! (member$ veriT_vr103 @p_380) :named @p_879) (! (not (! (member$ veriT_vr103 @p_381) :named @p_881)) :named @p_882)) :named @p_878))) :named @p_857))
 (define-fun veriT_sk11 () A$ (! (choice ((veriT_vr117 A$)) (not (! (=> (! (member$ veriT_vr117 (! (coset$ xs$) :named @p_21)) :named @p_924) (! (member$ veriT_vr117 (! (set$ (! (append$ xs$ @p_10) :named @p_761)) :named @p_760)) :named @p_926)) :named @p_923))) :named @p_909))
 (define-fun veriT_sk14 () A$ (! (choice ((veriT_vr123 A$)) (not (! (=> (! (member$ veriT_vr123 @p_715) :named @p_969) (! (not (! (member$ veriT_vr123 @p_381) :named @p_971)) :named @p_972)) :named @p_968))) :named @p_943))
-(assume a0 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (= (! (fun_app$ (! (fun_app$a uu$ ?v0) :named @p_23) ?v1) :named @p_25) (! (= ?v0 ?v1) :named @p_13)) :named @p_30)) :named @p_22))
-(assume a1 (! (forall ((?v0 A_list$)) (! (= (! (fun_app$ (! (fun_app$a subset$ @p_21) :named @p_43) (! (set$ ?v0) :named @p_2)) :named @p_46) (! (and (! (less$ zero$ (! (fun_app$b card$ top$) :named @p_1)) :named @p_44) (! (= @p_1 (! (fun_app$b card$ (! (set$ (! (append$ xs$ ?v0) :named @p_49)) :named @p_51)) :named @p_53)) :named @p_55)) :named @p_57)) :named @p_59)) :named @p_42))
-(assume a2 (! (forall ((?v0 A$) (?v1 A_set$)) (! (=> (! (member$ ?v0 (! (uminus$ ?v1) :named @p_75)) :named @p_77) (! (not (! (member$ ?v0 ?v1) :named @p_81)) :named @p_83)) :named @p_85)) :named @p_74))
-(assume a3 (! (forall ((?v0 A_list$)) (! (= (! (fun_app$b card$ @p_2) :named @p_100) (! (size$ (! (remdups$ ?v0) :named @p_14)) :named @p_104)) :named @p_106)) :named @p_98))
-(assume a4 (! (forall ((?v0 A_list$)) (! (finite$ @p_2) :named @p_120)) :named @p_118))
-(assume a5 (! (forall ((?v0 A$)) (! (member$ ?v0 top$) :named @p_129)) :named @p_128))
-(assume a6 (not (! (= top$ bot$) :named @p_717)))
-(assume a9 (! (forall ((?v0 Nat$) (?v1 Nat$)) (! (= (! (= ?v0 (! (plus$ ?v0 ?v1) :named @p_138)) :named @p_140) (! (= zero$ ?v1) :named @p_143)) :named @p_145)) :named @p_136))
-(assume a10 (! (= (! (fun_app$b card$a @p_715) :named @p_1077) (! (size$ @p_9) :named @p_8)) :named @p_1076))
-(assume a11 (! (= card$ card$a) :named @p_1079))
-(assume a12 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (=> (! (and (! (finite$ ?v0) :named @p_4) (! (finite$ ?v1) :named @p_159)) :named @p_161) (! (= (! (plus$ (! (fun_app$b card$ ?v0) :named @p_3) (! (fun_app$b card$ ?v1) :named @p_166)) :named @p_168) (! (plus$ (! (fun_app$b card$ (! (sup$ ?v0 ?v1) :named @p_170)) :named @p_172) (! (fun_app$b card$ (! (inf$ ?v0 ?v1) :named @p_6)) :named @p_175)) :named @p_177)) :named @p_179)) :named @p_181)) :named @p_157))
-(assume a13 (! (forall ((?v0 A_set$)) (! (= (! (= zero$ @p_3) :named @p_204) (! (or (! (= ?v0 bot$) :named @p_207) (! (not @p_4) :named @p_210)) :named @p_212)) :named @p_214)) :named @p_202))
-(assume a14 (! (forall ((?v0 A_set$)) (! (=> (! (and (! (finite$ top$) :named @p_7) (! (= @p_1 @p_3) :named @p_230)) :named @p_232) (! (= ?v0 top$) :named @p_235)) :named @p_237)) :named @p_228))
-(assume a15 (! (forall ((?v0 A_list$)) (! (= @p_2 (! (uminus$ (! (coset$ ?v0) :named @p_5)) :named @p_253)) :named @p_255)) :named @p_249))
-(assume a16 (! (forall ((?v0 A_list$)) (! (= @p_5 (! (uminus$ @p_2) :named @p_270)) :named @p_272)) :named @p_266))
-(assume a17 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (= (! (= bot$ @p_6) :named @p_285) (! (forall ((?v2 A$)) (! (=> (! (member$ ?v2 ?v0) :named @p_15) (! (not (! (member$ ?v2 ?v1) :named @p_16)) :named @p_294)) :named @p_296)) :named @p_287)) :named @p_298)) :named @p_283))
-(assume a18 (! (= uu$ eq_set$) :named @p_1100))
-(assume a19 (! (forall ((?v0 A_set$)) (! (=> @p_4 (! (= (! (finite$ (! (uminus$ ?v0) :named @p_361)) :named @p_363) @p_7) :named @p_365)) :named @p_367)) :named @p_358))
-(assume a20 (! (= rhs$ (! (ite (! (= zero$ @p_1) :named @p_403) false (! (and (! (= @p_1 (! (plus$ @p_8 (! (size$ @p_10) :named @p_719)) :named @p_1056)) :named @p_400) (! (and (! (forall ((?v0 A$)) (! (=> (! (member$ ?v0 @p_380) :named @p_12) (! (not (! (member$ ?v0 @p_381) :named @p_11)) :named @p_385)) :named @p_387)) :named @p_379) (! (forall ((?v0 A$)) (! (=> @p_11 (! (not @p_12) :named @p_392)) :named @p_394)) :named @p_389)) :named @p_396)) :named @p_399)) :named @p_402)) :named @p_405))
-(assume a21 (! (forall ((?v0 A_list$) (?v1 A_list$)) (! (= (! (set$ (! (append$ ?v0 ?v1) :named @p_498)) :named @p_500) (! (sup$ @p_2 (! (set$ ?v1) :named @p_20)) :named @p_506)) :named @p_508)) :named @p_497))
-(assume a22 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (= @p_13 (! (and (! (fun_app$ (! (fun_app$a less_eq$ ?v0) :named @p_19) ?v1) :named @p_17) (! (fun_app$ (! (fun_app$a less_eq$ ?v1) :named @p_528) ?v0) :named @p_530)) :named @p_18)) :named @p_533)) :named @p_522))
-(assume a23 (! (forall ((?v0 A_list$)) (! (= @p_2 (! (set$ @p_14) :named @p_552)) :named @p_554)) :named @p_548))
-(assume a24 (! (= subset$ less_eq$) :named @p_1090))
-(assume a25 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (=> (! (forall ((?v2 A$)) (! (=> @p_15 @p_16) :named @p_571)) :named @p_566) @p_17) :named @p_577)) :named @p_565))
-(assume a26 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (=> @p_18 @p_13) :named @p_602)) :named @p_593))
-(assume a27 (! (forall ((?v0 A_set$) (?v1 A_list$)) (! (= (! (fun_app$ @p_19 (! (coset$ ?v1) :named @p_619)) :named @p_621) (! (forall ((?v2 A$)) (! (=> (! (member$ ?v2 @p_20) :named @p_627) (! (not @p_15) :named @p_632)) :named @p_634)) :named @p_623)) :named @p_636)) :named @p_617))
-(assume a28 (not (= (! (fun_app$ (! (fun_app$a eq_set$ @p_21) :named @p_1097) (! (set$ ys$) :named @p_713)) :named @p_711) rhs$)))
+(assume axiom0 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (= (! (fun_app$ (! (fun_app$a uu$ ?v0) :named @p_23) ?v1) :named @p_25) (! (= ?v0 ?v1) :named @p_13)) :named @p_30)) :named @p_22))
+(assume axiom1 (! (forall ((?v0 A_list$)) (! (= (! (fun_app$ (! (fun_app$a subset$ @p_21) :named @p_43) (! (set$ ?v0) :named @p_2)) :named @p_46) (! (and (! (less$ zero$ (! (fun_app$b card$ top$) :named @p_1)) :named @p_44) (! (= @p_1 (! (fun_app$b card$ (! (set$ (! (append$ xs$ ?v0) :named @p_49)) :named @p_51)) :named @p_53)) :named @p_55)) :named @p_57)) :named @p_59)) :named @p_42))
+(assume axiom2 (! (forall ((?v0 A$) (?v1 A_set$)) (! (=> (! (member$ ?v0 (! (uminus$ ?v1) :named @p_75)) :named @p_77) (! (not (! (member$ ?v0 ?v1) :named @p_81)) :named @p_83)) :named @p_85)) :named @p_74))
+(assume axiom3 (! (forall ((?v0 A_list$)) (! (= (! (fun_app$b card$ @p_2) :named @p_100) (! (size$ (! (remdups$ ?v0) :named @p_14)) :named @p_104)) :named @p_106)) :named @p_98))
+(assume axiom4 (! (forall ((?v0 A_list$)) (! (finite$ @p_2) :named @p_120)) :named @p_118))
+(assume axiom5 (! (forall ((?v0 A$)) (! (member$ ?v0 top$) :named @p_129)) :named @p_128))
+(assume axiom6 (not (! (= top$ bot$) :named @p_717)))
+(assume axiom9 (! (forall ((?v0 Nat$) (?v1 Nat$)) (! (= (! (= ?v0 (! (plus$ ?v0 ?v1) :named @p_138)) :named @p_140) (! (= zero$ ?v1) :named @p_143)) :named @p_145)) :named @p_136))
+(assume axiom10 (! (= (! (fun_app$b card$a @p_715) :named @p_1077) (! (size$ @p_9) :named @p_8)) :named @p_1076))
+(assume axiom11 (! (= card$ card$a) :named @p_1079))
+(assume axiom12 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (=> (! (and (! (finite$ ?v0) :named @p_4) (! (finite$ ?v1) :named @p_159)) :named @p_161) (! (= (! (plus$ (! (fun_app$b card$ ?v0) :named @p_3) (! (fun_app$b card$ ?v1) :named @p_166)) :named @p_168) (! (plus$ (! (fun_app$b card$ (! (sup$ ?v0 ?v1) :named @p_170)) :named @p_172) (! (fun_app$b card$ (! (inf$ ?v0 ?v1) :named @p_6)) :named @p_175)) :named @p_177)) :named @p_179)) :named @p_181)) :named @p_157))
+(assume axiom13 (! (forall ((?v0 A_set$)) (! (= (! (= zero$ @p_3) :named @p_204) (! (or (! (= ?v0 bot$) :named @p_207) (! (not @p_4) :named @p_210)) :named @p_212)) :named @p_214)) :named @p_202))
+(assume axiom14 (! (forall ((?v0 A_set$)) (! (=> (! (and (! (finite$ top$) :named @p_7) (! (= @p_1 @p_3) :named @p_230)) :named @p_232) (! (= ?v0 top$) :named @p_235)) :named @p_237)) :named @p_228))
+(assume axiom15 (! (forall ((?v0 A_list$)) (! (= @p_2 (! (uminus$ (! (coset$ ?v0) :named @p_5)) :named @p_253)) :named @p_255)) :named @p_249))
+(assume axiom16 (! (forall ((?v0 A_list$)) (! (= @p_5 (! (uminus$ @p_2) :named @p_270)) :named @p_272)) :named @p_266))
+(assume axiom17 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (= (! (= bot$ @p_6) :named @p_285) (! (forall ((?v2 A$)) (! (=> (! (member$ ?v2 ?v0) :named @p_15) (! (not (! (member$ ?v2 ?v1) :named @p_16)) :named @p_294)) :named @p_296)) :named @p_287)) :named @p_298)) :named @p_283))
+(assume axiom18 (! (= uu$ eq_set$) :named @p_1100))
+(assume axiom19 (! (forall ((?v0 A_set$)) (! (=> @p_4 (! (= (! (finite$ (! (uminus$ ?v0) :named @p_361)) :named @p_363) @p_7) :named @p_365)) :named @p_367)) :named @p_358))
+(assume axiom20 (! (= rhs$ (! (ite (! (= zero$ @p_1) :named @p_403) false (! (and (! (= @p_1 (! (plus$ @p_8 (! (size$ @p_10) :named @p_719)) :named @p_1056)) :named @p_400) (! (and (! (forall ((?v0 A$)) (! (=> (! (member$ ?v0 @p_380) :named @p_12) (! (not (! (member$ ?v0 @p_381) :named @p_11)) :named @p_385)) :named @p_387)) :named @p_379) (! (forall ((?v0 A$)) (! (=> @p_11 (! (not @p_12) :named @p_392)) :named @p_394)) :named @p_389)) :named @p_396)) :named @p_399)) :named @p_402)) :named @p_405))
+(assume axiom21 (! (forall ((?v0 A_list$) (?v1 A_list$)) (! (= (! (set$ (! (append$ ?v0 ?v1) :named @p_498)) :named @p_500) (! (sup$ @p_2 (! (set$ ?v1) :named @p_20)) :named @p_506)) :named @p_508)) :named @p_497))
+(assume axiom22 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (= @p_13 (! (and (! (fun_app$ (! (fun_app$a less_eq$ ?v0) :named @p_19) ?v1) :named @p_17) (! (fun_app$ (! (fun_app$a less_eq$ ?v1) :named @p_528) ?v0) :named @p_530)) :named @p_18)) :named @p_533)) :named @p_522))
+(assume axiom23 (! (forall ((?v0 A_list$)) (! (= @p_2 (! (set$ @p_14) :named @p_552)) :named @p_554)) :named @p_548))
+(assume axiom24 (! (= subset$ less_eq$) :named @p_1090))
+(assume axiom25 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (=> (! (forall ((?v2 A$)) (! (=> @p_15 @p_16) :named @p_571)) :named @p_566) @p_17) :named @p_577)) :named @p_565))
+(assume axiom26 (! (forall ((?v0 A_set$) (?v1 A_set$)) (! (=> @p_18 @p_13) :named @p_602)) :named @p_593))
+(assume axiom27 (! (forall ((?v0 A_set$) (?v1 A_list$)) (! (= (! (fun_app$ @p_19 (! (coset$ ?v1) :named @p_619)) :named @p_621) (! (forall ((?v2 A$)) (! (=> (! (member$ ?v2 @p_20) :named @p_627) (! (not @p_15) :named @p_632)) :named @p_634)) :named @p_623)) :named @p_636)) :named @p_617))
+(assume axiom28 (not (= (! (fun_app$ (! (fun_app$a eq_set$ @p_21) :named @p_1097) (! (set$ ys$) :named @p_713)) :named @p_711) rhs$)))
 (anchor :step t28 :args ((:= (?v0 A_set$) veriT_vr0) (:= (?v1 A_set$) veriT_vr1)))
 (step t28.t1 (cl (! (= ?v0 veriT_vr0) :named @p_27)) :rule refl)
 (step t28.t2 (cl (= @p_23 (! (fun_app$a uu$ veriT_vr0) :named @p_24))) :rule cong :premises (t28.t1))
@@ -3505,7 +3505,7 @@
 (step t28.t8 (cl (= @p_30 (! (= @p_26 @p_29) :named @p_31))) :rule cong :premises (t28.t4 t28.t7))
 (step t28 (cl (! (= @p_22 (! (forall ((veriT_vr0 A_set$) (veriT_vr1 A_set$)) @p_31) :named @p_33)) :named @p_32)) :rule bind)
 (step t29 (cl (not @p_32) (not @p_22) @p_33) :rule equiv_pos2)
-(step t30 (cl @p_33) :rule th_resolution :premises (a0 t28 t29))
+(step t30 (cl @p_33) :rule th_resolution :premises (axiom0 t28 t29))
 (anchor :step t31 :args ((:= (veriT_vr0 A_set$) veriT_vr2) (:= (veriT_vr1 A_set$) veriT_vr3)))
 (step t31.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_36)) :rule refl)
 (step t31.t2 (cl (= @p_24 (! (fun_app$a uu$ veriT_vr2) :named @p_34))) :rule cong :premises (t31.t1))
@@ -3531,7 +3531,7 @@
 (step t34.t10 (cl (= @p_59 (! (= @p_47 @p_58) :named @p_60))) :rule cong :premises (t34.t3 t34.t9))
 (step t34 (cl (! (= @p_42 (! (forall ((veriT_vr4 A_list$)) @p_60) :named @p_62)) :named @p_61)) :rule bind)
 (step t35 (cl (not @p_61) (not @p_42) @p_62) :rule equiv_pos2)
-(step t36 (cl @p_62) :rule th_resolution :premises (a1 t34 t35))
+(step t36 (cl @p_62) :rule th_resolution :premises (axiom1 t34 t35))
 (anchor :step t37 :args ((:= (veriT_vr4 A_list$) veriT_vr5)))
 (step t37.t1 (cl (! (= veriT_vr4 veriT_vr5) :named @p_65)) :rule refl)
 (step t37.t2 (cl (= @p_45 (! (set$ veriT_vr5) :named @p_63))) :rule cong :premises (t37.t1))
@@ -3558,7 +3558,7 @@
 (step t40.t9 (cl (= @p_85 (! (=> @p_78 @p_84) :named @p_86))) :rule cong :premises (t40.t4 t40.t8))
 (step t40 (cl (! (= @p_74 (! (forall ((veriT_vr6 A$) (veriT_vr7 A_set$)) @p_86) :named @p_88)) :named @p_87)) :rule bind)
 (step t41 (cl (not @p_87) (not @p_74) @p_88) :rule equiv_pos2)
-(step t42 (cl @p_88) :rule th_resolution :premises (a2 t40 t41))
+(step t42 (cl @p_88) :rule th_resolution :premises (axiom2 t40 t41))
 (anchor :step t43 :args ((:= (veriT_vr6 A$) veriT_vr8) (:= (veriT_vr7 A_set$) veriT_vr9)))
 (step t43.t1 (cl (! (= veriT_vr6 veriT_vr8) :named @p_91)) :rule refl)
 (step t43.t2 (cl (! (= veriT_vr7 veriT_vr9) :named @p_92)) :rule refl)
@@ -3582,7 +3582,7 @@
 (step t46.t7 (cl (= @p_106 (! (= @p_101 @p_105) :named @p_107))) :rule cong :premises (t46.t3 t46.t6))
 (step t46 (cl (! (= @p_98 (! (forall ((veriT_vr10 A_list$)) @p_107) :named @p_109)) :named @p_108)) :rule bind)
 (step t47 (cl (not @p_108) (not @p_98) @p_109) :rule equiv_pos2)
-(step t48 (cl @p_109) :rule th_resolution :premises (a3 t46 t47))
+(step t48 (cl @p_109) :rule th_resolution :premises (axiom3 t46 t47))
 (anchor :step t49 :args ((:= (veriT_vr10 A_list$) veriT_vr11)))
 (step t49.t1 (cl (! (= veriT_vr10 veriT_vr11) :named @p_112)) :rule refl)
 (step t49.t2 (cl (= @p_99 (! (set$ veriT_vr11) :named @p_110))) :rule cong :premises (t49.t1))
@@ -3600,7 +3600,7 @@
 (step t52.t3 (cl (= @p_120 (! (finite$ @p_119) :named @p_121))) :rule cong :premises (t52.t2))
 (step t52 (cl (! (= @p_118 (! (forall ((veriT_vr12 A_list$)) @p_121) :named @p_123)) :named @p_122)) :rule bind)
 (step t53 (cl (not @p_122) (not @p_118) @p_123) :rule equiv_pos2)
-(step t54 (cl @p_123) :rule th_resolution :premises (a4 t52 t53))
+(step t54 (cl @p_123) :rule th_resolution :premises (axiom4 t52 t53))
 (anchor :step t55 :args ((:= (veriT_vr12 A_list$) veriT_vr13)))
 (step t55.t1 (cl (= veriT_vr12 veriT_vr13)) :rule refl)
 (step t55.t2 (cl (= @p_119 (! (set$ veriT_vr13) :named @p_124))) :rule cong :premises (t55.t1))
@@ -3613,7 +3613,7 @@
 (step t58.t2 (cl (= @p_129 (! (member$ veriT_vr14 top$) :named @p_130))) :rule cong :premises (t58.t1))
 (step t58 (cl (! (= @p_128 (! (forall ((veriT_vr14 A$)) @p_130) :named @p_132)) :named @p_131)) :rule bind)
 (step t59 (cl (not @p_131) (not @p_128) @p_132) :rule equiv_pos2)
-(step t60 (cl @p_132) :rule th_resolution :premises (a5 t58 t59))
+(step t60 (cl @p_132) :rule th_resolution :premises (axiom5 t58 t59))
 (anchor :step t61 :args ((:= (veriT_vr14 A$) veriT_vr15)))
 (step t61.t1 (cl (= veriT_vr14 veriT_vr15)) :rule refl)
 (step t61.t2 (cl (= @p_130 (! (member$ veriT_vr15 top$) :named @p_133))) :rule cong :premises (t61.t1))
@@ -3631,7 +3631,7 @@
 (step t64.t8 (cl (= @p_145 (! (= @p_141 @p_144) :named @p_146))) :rule cong :premises (t64.t5 t64.t7))
 (step t64 (cl (! (= @p_136 (! (forall ((veriT_vr26 Nat$) (veriT_vr27 Nat$)) @p_146) :named @p_148)) :named @p_147)) :rule bind)
 (step t65 (cl (not @p_147) (not @p_136) @p_148) :rule equiv_pos2)
-(step t66 (cl @p_148) :rule th_resolution :premises (a9 t64 t65))
+(step t66 (cl @p_148) :rule th_resolution :premises (axiom9 t64 t65))
 (anchor :step t67 :args ((:= (veriT_vr26 Nat$) veriT_vr28) (:= (veriT_vr27 Nat$) veriT_vr29)))
 (step t67.t1 (cl (! (= veriT_vr26 veriT_vr28) :named @p_149)) :rule refl)
 (step t67.t2 (cl @p_149) :rule refl)
@@ -3668,7 +3668,7 @@
 (step t70.t21 (cl (= @p_181 (! (=> @p_162 @p_180) :named @p_182))) :rule cong :premises (t70.t5 t70.t20))
 (step t70 (cl (! (= @p_157 (! (forall ((veriT_vr30 A_set$) (veriT_vr31 A_set$)) @p_182) :named @p_184)) :named @p_183)) :rule bind)
 (step t71 (cl (not @p_183) (not @p_157) @p_184) :rule equiv_pos2)
-(step t72 (cl @p_184) :rule th_resolution :premises (a12 t70 t71))
+(step t72 (cl @p_184) :rule th_resolution :premises (axiom12 t70 t71))
 (anchor :step t73 :args ((:= (veriT_vr30 A_set$) veriT_vr32) (:= (veriT_vr31 A_set$) veriT_vr33)))
 (step t73.t1 (cl (! (= veriT_vr30 veriT_vr32) :named @p_188)) :rule refl)
 (step t73.t2 (cl (= @p_158 (! (finite$ veriT_vr32) :named @p_185))) :rule cong :premises (t73.t1))
@@ -3707,7 +3707,7 @@
 (step t76.t10 (cl (= @p_214 (! (= @p_205 @p_213) :named @p_215))) :rule cong :premises (t76.t3 t76.t9))
 (step t76 (cl (! (= @p_202 (! (forall ((veriT_vr34 A_set$)) @p_215) :named @p_217)) :named @p_216)) :rule bind)
 (step t77 (cl (not @p_216) (not @p_202) @p_217) :rule equiv_pos2)
-(step t78 (cl @p_217) :rule th_resolution :premises (a13 t76 t77))
+(step t78 (cl @p_217) :rule th_resolution :premises (axiom13 t76 t77))
 (anchor :step t79 :args ((:= (veriT_vr34 A_set$) veriT_vr35)))
 (step t79.t1 (cl (! (= veriT_vr34 veriT_vr35) :named @p_220)) :rule refl)
 (step t79.t2 (cl (= @p_203 (! (fun_app$b card$ veriT_vr35) :named @p_218))) :rule cong :premises (t79.t1))
@@ -3732,7 +3732,7 @@
 (step t82.t7 (cl (= @p_237 (! (=> @p_233 @p_236) :named @p_238))) :rule cong :premises (t82.t4 t82.t6))
 (step t82 (cl (! (= @p_228 (! (forall ((veriT_vr36 A_set$)) @p_238) :named @p_240)) :named @p_239)) :rule bind)
 (step t83 (cl (not @p_239) (not @p_228) @p_240) :rule equiv_pos2)
-(step t84 (cl @p_240) :rule th_resolution :premises (a14 t82 t83))
+(step t84 (cl @p_240) :rule th_resolution :premises (axiom14 t82 t83))
 (anchor :step t85 :args ((:= (veriT_vr36 A_set$) veriT_vr37)))
 (step t85.t1 (cl (! (= veriT_vr36 veriT_vr37) :named @p_244)) :rule refl)
 (step t85.t2 (cl (= @p_229 (! (fun_app$b card$ veriT_vr37) :named @p_241))) :rule cong :premises (t85.t1))
@@ -3753,7 +3753,7 @@
 (step t88.t6 (cl (= @p_255 (! (= @p_250 @p_254) :named @p_256))) :rule cong :premises (t88.t2 t88.t5))
 (step t88 (cl (! (= @p_249 (! (forall ((veriT_vr38 A_list$)) @p_256) :named @p_258)) :named @p_257)) :rule bind)
 (step t89 (cl (not @p_257) (not @p_249) @p_258) :rule equiv_pos2)
-(step t90 (cl @p_258) :rule th_resolution :premises (a15 t88 t89))
+(step t90 (cl @p_258) :rule th_resolution :premises (axiom15 t88 t89))
 (anchor :step t91 :args ((:= (veriT_vr38 A_list$) veriT_vr39)))
 (step t91.t1 (cl (! (= veriT_vr38 veriT_vr39) :named @p_260)) :rule refl)
 (step t91.t2 (cl (= @p_250 (! (set$ veriT_vr39) :named @p_259))) :rule cong :premises (t91.t1))
@@ -3773,7 +3773,7 @@
 (step t94.t6 (cl (= @p_272 (! (= @p_267 @p_271) :named @p_273))) :rule cong :premises (t94.t2 t94.t5))
 (step t94 (cl (! (= @p_266 (! (forall ((veriT_vr40 A_list$)) @p_273) :named @p_275)) :named @p_274)) :rule bind)
 (step t95 (cl (not @p_274) (not @p_266) @p_275) :rule equiv_pos2)
-(step t96 (cl @p_275) :rule th_resolution :premises (a16 t94 t95))
+(step t96 (cl @p_275) :rule th_resolution :premises (axiom16 t94 t95))
 (anchor :step t97 :args ((:= (veriT_vr40 A_list$) veriT_vr41)))
 (step t97.t1 (cl (! (= veriT_vr40 veriT_vr41) :named @p_277)) :rule refl)
 (step t97.t2 (cl (= @p_267 (! (coset$ veriT_vr41) :named @p_276))) :rule cong :premises (t97.t1))
@@ -3802,7 +3802,7 @@
 (step t100.t6 (cl (= @p_298 (! (= @p_286 @p_288) :named @p_299))) :rule cong :premises (t100.t4 t100.t5))
 (step t100 (cl (! (= @p_283 (! (forall ((veriT_vr42 A_set$) (veriT_vr43 A_set$)) @p_299) :named @p_301)) :named @p_300)) :rule bind)
 (step t101 (cl (not @p_300) (not @p_283) @p_301) :rule equiv_pos2)
-(step t102 (cl @p_301) :rule th_resolution :premises (a17 t100 t101))
+(step t102 (cl @p_301) :rule th_resolution :premises (axiom17 t100 t101))
 (anchor :step t103 :args ((veriT_vr42 A_set$) (veriT_vr43 A_set$)))
 (step t103.t1 (cl (= @p_299 (! (and (! (=> @p_286 @p_288) :named @p_315) (! (=> @p_288 @p_286) :named @p_325)) :named @p_302))) :rule connective_def)
 (step t103 (cl (! (= @p_301 (! (forall ((veriT_vr42 A_set$) (veriT_vr43 A_set$)) @p_302) :named @p_304)) :named @p_303)) :rule bind)
@@ -3902,7 +3902,7 @@
 (step t115.t7 (cl (= @p_367 (! (=> @p_359 @p_366) :named @p_368))) :rule cong :premises (t115.t2 t115.t6))
 (step t115 (cl (! (= @p_358 (! (forall ((veriT_vr53 A_set$)) @p_368) :named @p_370)) :named @p_369)) :rule bind)
 (step t116 (cl (not @p_369) (not @p_358) @p_370) :rule equiv_pos2)
-(step t117 (cl @p_370) :rule th_resolution :premises (a19 t115 t116))
+(step t117 (cl @p_370) :rule th_resolution :premises (axiom19 t115 t116))
 (anchor :step t118 :args ((:= (veriT_vr53 A_set$) veriT_vr54)))
 (step t118.t1 (cl (! (= veriT_vr53 veriT_vr54) :named @p_372)) :rule refl)
 (step t118.t2 (cl (= @p_359 (! (finite$ veriT_vr54) :named @p_371))) :rule cong :premises (t118.t1))
@@ -3935,7 +3935,7 @@
 (step t125 (cl (= @p_402 (! (ite @p_403 false @p_404) :named @p_406))) :rule cong :premises (t124))
 (step t126 (cl (! (= @p_405 (! (= rhs$ @p_406) :named @p_408)) :named @p_407)) :rule cong :premises (t125))
 (step t127 (cl (not @p_407) (not @p_405) @p_408) :rule equiv_pos2)
-(step t128 (cl @p_408) :rule th_resolution :premises (a20 t126 t127))
+(step t128 (cl @p_408) :rule th_resolution :premises (axiom20 t126 t127))
 (step t129 (cl (= @p_404 (! (and @p_400 @p_397 @p_398) :named @p_409))) :rule ac_simp)
 (step t130 (cl (= @p_406 (! (ite @p_403 false @p_409) :named @p_410))) :rule cong :premises (t129))
 (step t131 (cl (! (= @p_408 (! (= rhs$ @p_410) :named @p_412)) :named @p_411)) :rule cong :premises (t130))
@@ -4061,7 +4061,7 @@
 (step t185.t10 (cl (= @p_508 (! (= @p_501 @p_507) :named @p_509))) :rule cong :premises (t185.t4 t185.t9))
 (step t185 (cl (! (= @p_497 (! (forall ((veriT_vr61 A_list$) (veriT_vr62 A_list$)) @p_509) :named @p_511)) :named @p_510)) :rule bind)
 (step t186 (cl (not @p_510) (not @p_497) @p_511) :rule equiv_pos2)
-(step t187 (cl @p_511) :rule th_resolution :premises (a21 t185 t186))
+(step t187 (cl @p_511) :rule th_resolution :premises (axiom21 t185 t186))
 (anchor :step t188 :args ((:= (veriT_vr61 A_list$) veriT_vr63) (:= (veriT_vr62 A_list$) veriT_vr64)))
 (step t188.t1 (cl (! (= veriT_vr61 veriT_vr63) :named @p_514)) :rule refl)
 (step t188.t2 (cl (! (= veriT_vr62 veriT_vr64) :named @p_516)) :rule refl)
@@ -4092,7 +4092,7 @@
 (step t191.t13 (cl (= @p_533 (! (= @p_523 @p_532) :named @p_534))) :rule cong :premises (t191.t3 t191.t12))
 (step t191 (cl (! (= @p_522 (! (forall ((veriT_vr65 A_set$) (veriT_vr66 A_set$)) @p_534) :named @p_536)) :named @p_535)) :rule bind)
 (step t192 (cl (not @p_535) (not @p_522) @p_536) :rule equiv_pos2)
-(step t193 (cl @p_536) :rule th_resolution :premises (a22 t191 t192))
+(step t193 (cl @p_536) :rule th_resolution :premises (axiom22 t191 t192))
 (anchor :step t194 :args ((:= (veriT_vr65 A_set$) veriT_vr67) (:= (veriT_vr66 A_set$) veriT_vr68)))
 (step t194.t1 (cl (! (= veriT_vr65 veriT_vr67) :named @p_538)) :rule refl)
 (step t194.t2 (cl (! (= veriT_vr66 veriT_vr68) :named @p_540)) :rule refl)
@@ -4119,7 +4119,7 @@
 (step t197.t6 (cl (= @p_554 (! (= @p_549 @p_553) :named @p_555))) :rule cong :premises (t197.t2 t197.t5))
 (step t197 (cl (! (= @p_548 (! (forall ((veriT_vr69 A_list$)) @p_555) :named @p_557)) :named @p_556)) :rule bind)
 (step t198 (cl (not @p_556) (not @p_548) @p_557) :rule equiv_pos2)
-(step t199 (cl @p_557) :rule th_resolution :premises (a23 t197 t198))
+(step t199 (cl @p_557) :rule th_resolution :premises (axiom23 t197 t198))
 (anchor :step t200 :args ((:= (veriT_vr69 A_list$) veriT_vr70)))
 (step t200.t1 (cl (! (= veriT_vr69 veriT_vr70) :named @p_559)) :rule refl)
 (step t200.t2 (cl (= @p_549 (! (set$ veriT_vr70) :named @p_558))) :rule cong :premises (t200.t1))
@@ -4147,7 +4147,7 @@
 (step t203.t6 (cl (= @p_577 (! (=> @p_567 @p_576) :named @p_578))) :rule cong :premises (t203.t1 t203.t5))
 (step t203 (cl (! (= @p_565 (! (forall ((veriT_vr71 A_set$) (veriT_vr72 A_set$)) @p_578) :named @p_580)) :named @p_579)) :rule bind)
 (step t204 (cl (not @p_579) (not @p_565) @p_580) :rule equiv_pos2)
-(step t205 (cl @p_580) :rule th_resolution :premises (a25 t203 t204))
+(step t205 (cl @p_580) :rule th_resolution :premises (axiom25 t203 t204))
 (anchor :step t206 :args ((:= (veriT_vr71 A_set$) veriT_vr74) (:= (veriT_vr72 A_set$) veriT_vr75)))
 (anchor :step t206.t1 :args ((:= (veriT_vr73 A$) veriT_vr76)))
 (step t206.t1.t1 (cl (! (= veriT_vr73 veriT_vr76) :named @p_583)) :rule refl)
@@ -4182,7 +4182,7 @@
 (step t209.t13 (cl (= @p_602 (! (=> @p_600 @p_601) :named @p_603))) :rule cong :premises (t209.t9 t209.t12))
 (step t209 (cl (! (= @p_593 (! (forall ((veriT_vr77 A_set$) (veriT_vr78 A_set$)) @p_603) :named @p_605)) :named @p_604)) :rule bind)
 (step t210 (cl (not @p_604) (not @p_593) @p_605) :rule equiv_pos2)
-(step t211 (cl @p_605) :rule th_resolution :premises (a26 t209 t210))
+(step t211 (cl @p_605) :rule th_resolution :premises (axiom26 t209 t210))
 (anchor :step t212 :args ((:= (veriT_vr77 A_set$) veriT_vr79) (:= (veriT_vr78 A_set$) veriT_vr80)))
 (step t212.t1 (cl (! (= veriT_vr77 veriT_vr79) :named @p_610)) :rule refl)
 (step t212.t2 (cl (= @p_594 (! (fun_app$a less_eq$ veriT_vr79) :named @p_606))) :rule cong :premises (t212.t1))
@@ -4220,7 +4220,7 @@
 (step t215.t7 (cl (= @p_636 (! (= @p_622 @p_624) :named @p_637))) :rule cong :premises (t215.t5 t215.t6))
 (step t215 (cl (! (= @p_617 (! (forall ((veriT_vr81 A_set$) (veriT_vr82 A_list$)) @p_637) :named @p_639)) :named @p_638)) :rule bind)
 (step t216 (cl (not @p_638) (not @p_617) @p_639) :rule equiv_pos2)
-(step t217 (cl @p_639) :rule th_resolution :premises (a27 t215 t216))
+(step t217 (cl @p_639) :rule th_resolution :premises (axiom27 t215 t216))
 (anchor :step t218 :args ((veriT_vr81 A_set$) (veriT_vr82 A_list$)))
 (step t218.t1 (cl (= @p_637 (! (and (! (=> @p_622 @p_624) :named @p_655) (! (=> @p_624 @p_622) :named @p_667)) :named @p_640))) :rule connective_def)
 (step t218 (cl (! (= @p_639 (! (forall ((veriT_vr81 A_set$) (veriT_vr82 A_list$)) @p_640) :named @p_642)) :named @p_641)) :rule bind)
@@ -4336,8 +4336,8 @@
 (step t245 (cl (not @p_707) @p_403) :rule not_not)
 (step t246 (cl @p_482 @p_403 @p_708 @p_709 @p_710) :rule th_resolution :premises (t245 t244))
 (step t247 (cl (not @p_482) rhs$) :rule implies :premises (t235))
-(step t248 (cl @p_711 rhs$) :rule not_equiv1 :premises (a28))
-(step t249 (cl (! (not @p_711) :named @p_1099) @p_712) :rule not_equiv2 :premises (a28))
+(step t248 (cl @p_711 rhs$) :rule not_equiv1 :premises (axiom28))
+(step t249 (cl (! (not @p_711) :named @p_1099) @p_712) :rule not_equiv2 :premises (axiom28))
 (step t250 (cl (or (! (not @p_474) :named @p_1028) (! (forall ((veriT_vr59 A$)) (or @p_472 @p_469)) :named @p_1029))) :rule qnt_cnf)
 (step t251 (cl (or (! (not @p_564) :named @p_714) (! (= @p_381 @p_713) :named @p_722))) :rule forall_inst :args ((:= veriT_vr70 ys$)))
 (step t252 (cl (or @p_714 (! (= @p_715 @p_380) :named @p_723))) :rule forall_inst :args ((:= veriT_vr70 xs$)))
@@ -4372,7 +4372,7 @@
 (step t281 (cl (! (not @p_732) :named @p_734) @p_403 @p_733) :rule equiv_pos1)
 (step t282 (cl @p_734 @p_422 @p_729) :rule equiv_pos2)
 (step t283 (cl @p_735 @p_732) :rule or :premises (t257))
-(step t284 (cl @p_733 @p_730) :rule resolution :premises (t277 a6))
+(step t284 (cl @p_733 @p_730) :rule resolution :premises (t277 axiom6))
 (step t285 (cl @p_732) :rule resolution :premises (t283 t81))
 (step t286 (cl @p_718 @p_736) :rule or :premises (t258))
 (step t287 (cl @p_736) :rule resolution :premises (t286 t57))
@@ -4392,7 +4392,7 @@
 (step t301 (cl @p_750 (! (not @p_748) :named @p_1107) @p_749) :rule equiv_pos2)
 (step t302 (cl @p_751 @p_747) :rule or :premises (t264))
 (step t303 (cl @p_747) :rule resolution :premises (t302 t33))
-(step t304 (cl (or (! (not @p_616) :named @p_765) (! (=> (! (and (! (fun_app$ (! (fun_app$a less_eq$ @p_381) :named @p_799) @p_21) :named @p_762) (! (fun_app$ (! (fun_app$a less_eq$ @p_21) :named @p_907) @p_381) :named @p_763)) :named @p_755) (! (= @p_21 @p_381) :named @p_754)) :named @p_764))) :rule forall_inst :args ((:= veriT_vr79 @p_381) (:= veriT_vr80 @p_21)))
+(step t304 (cl (or (! (not @p_616) :named @p_765) (! (=> (! (and (! (fun_app$ (! (fun_app$a less_eq$ @p_381) :named @p_854) @p_21) :named @p_762) (! (fun_app$ (! (fun_app$a less_eq$ @p_21) :named @p_907) @p_381) :named @p_763)) :named @p_755) (! (= @p_21 @p_381) :named @p_754)) :named @p_764))) :rule forall_inst :args ((:= veriT_vr79 @p_381) (:= veriT_vr80 @p_21)))
 (step t305 (cl (not (! (not (! (not @p_592) :named @p_906)) :named @p_936)) @p_592) :rule not_not)
 (step t306 (cl (or @p_714 (! (= @p_752 (! (set$ (! (remdups$ @p_753) :named @p_938)) :named @p_939)) :named @p_766))) :rule forall_inst :args ((:= veriT_vr70 @p_753)))
 (step t307 (cl (or (! (not @p_547) :named @p_769) (! (= @p_754 @p_755) :named @p_768))) :rule forall_inst :args ((:= veriT_vr67 @p_381) (:= veriT_vr68 @p_21)))
@@ -4402,7 +4402,7 @@
 (step t311 (cl (or (! (not @p_248) :named @p_781) (! (=> (! (and @p_7 (! (= @p_1 (! (fun_app$b card$ @p_758) :named @p_1112)) :named @p_778)) :named @p_777) (! (= top$ @p_758) :named @p_780)) :named @p_779))) :rule forall_inst :args ((:= veriT_vr37 @p_758)))
 (step t312 (cl (or (! (not @p_201) :named @p_786) (! (=> (! (and @p_738 @p_737) :named @p_782) (! (= (! (plus$ (! (fun_app$b card$ @p_715) :named @p_1073) (! (fun_app$b card$ @p_381) :named @p_1074)) :named @p_1057) (! (plus$ (! (fun_app$b card$ @p_759) :named @p_999) (! (fun_app$b card$ (! (inf$ @p_715 @p_381) :named @p_940)) :named @p_998)) :named @p_1000)) :named @p_785)) :named @p_784))) :rule forall_inst :args ((:= veriT_vr32 @p_715) (:= veriT_vr33 @p_381)))
 (step t313 (cl (or (! (not @p_73) :named @p_791) (! (= (! (fun_app$ @p_43 @p_760) :named @p_790) (! (and @p_44 (= @p_1 (fun_app$b card$ (set$ (append$ xs$ @p_761))))) :named @p_788)) :named @p_789))) :rule forall_inst :args ((:= veriT_vr5 @p_761)))
-(step t314 (cl @p_755 (! (not @p_762) :named @p_1005) (! (not @p_763) :named @p_1120)) :rule and_neg)
+(step t314 (cl @p_755 (! (not @p_762) :named @p_1003) (! (not @p_763) :named @p_1120)) :rule and_neg)
 (step t315 (cl (not @p_764) (! (not @p_755) :named @p_767) @p_754) :rule implies_pos)
 (step t316 (cl @p_765 @p_764) :rule or :premises (t304))
 (step t317 (cl @p_764) :rule resolution :premises (t316 t214))
@@ -4440,95 +4440,95 @@
 (step t349 (cl (! (not @p_726) :named @p_794) (! (not (! (= @p_721 @p_757) :named @p_793)) :named @p_1044) (! (not @p_725) :named @p_795) (! (= @p_21 @p_792) :named @p_796)) :rule eq_transitive)
 (step t350 (cl (! (not @p_723) :named @p_797) @p_793) :rule eq_congruent)
 (step t351 (cl @p_794 @p_795 @p_796 @p_797) :rule th_resolution :premises (t349 t350))
-(step t352 (cl (not (! (not (! (not @p_703) :named @p_798)) :named @p_854)) @p_703) :rule not_not)
-(step t353 (cl (or @p_798 (! (and (! (=> (! (fun_app$ @p_799 @p_792) :named @p_800) (! (forall ((veriT_vr90 A$)) (! (=> (! (member$ veriT_vr90 @p_380) :named @p_804) (! (not (! (member$ veriT_vr90 @p_381) :named @p_807)) :named @p_809)) :named @p_811)) :named @p_803)) :named @p_813) (! (=> (! (forall ((veriT_vr91 A$)) (! (=> (! (member$ veriT_vr91 @p_380) :named @p_816) (! (not (! (member$ veriT_vr91 @p_381) :named @p_818)) :named @p_819)) :named @p_820)) :named @p_815) @p_800) :named @p_821)) :named @p_801))) :rule forall_inst :args ((:= veriT_vr88 @p_381) (:= veriT_vr89 @p_9)))
-(anchor :step t354)
-(assume t354.h1 @p_801)
-(anchor :step t354.t2 :args ((:= (veriT_vr90 A$) veriT_vr99)))
-(step t354.t2.t1 (cl (! (= veriT_vr90 veriT_vr99) :named @p_806)) :rule refl)
-(step t354.t2.t2 (cl (= @p_804 (! (member$ veriT_vr99 @p_380) :named @p_805))) :rule cong :premises (t354.t2.t1))
-(step t354.t2.t3 (cl @p_806) :rule refl)
-(step t354.t2.t4 (cl (= @p_807 (! (member$ veriT_vr99 @p_381) :named @p_808))) :rule cong :premises (t354.t2.t3))
-(step t354.t2.t5 (cl (= @p_809 (! (not @p_808) :named @p_810))) :rule cong :premises (t354.t2.t4))
-(step t354.t2.t6 (cl (= @p_811 (! (=> @p_805 @p_810) :named @p_812))) :rule cong :premises (t354.t2.t2 t354.t2.t5))
-(step t354.t2 (cl (= @p_803 (! (forall ((veriT_vr99 A$)) @p_812) :named @p_814))) :rule bind)
-(step t354.t3 (cl (= @p_813 (! (=> @p_800 @p_814) :named @p_822))) :rule cong :premises (t354.t2))
-(anchor :step t354.t4 :args ((:= (veriT_vr91 A$) veriT_vr99)))
-(step t354.t4.t1 (cl (! (= veriT_vr91 veriT_vr99) :named @p_817)) :rule refl)
-(step t354.t4.t2 (cl (= @p_816 @p_805)) :rule cong :premises (t354.t4.t1))
-(step t354.t4.t3 (cl @p_817) :rule refl)
-(step t354.t4.t4 (cl (= @p_818 @p_808)) :rule cong :premises (t354.t4.t3))
-(step t354.t4.t5 (cl (= @p_819 @p_810)) :rule cong :premises (t354.t4.t4))
-(step t354.t4.t6 (cl (= @p_820 @p_812)) :rule cong :premises (t354.t4.t2 t354.t4.t5))
-(step t354.t4 (cl (= @p_815 @p_814)) :rule bind)
-(step t354.t5 (cl (= @p_821 (! (=> @p_814 @p_800) :named @p_823))) :rule cong :premises (t354.t4))
-(step t354.t6 (cl (! (= @p_801 (! (and @p_822 @p_823) :named @p_826)) :named @p_824)) :rule cong :premises (t354.t3 t354.t5))
-(step t354.t7 (cl (not @p_824) (! (not @p_801) :named @p_825) @p_826) :rule equiv_pos2)
-(step t354.t8 (cl @p_826) :rule th_resolution :premises (t354.h1 t354.t6 t354.t7))
-(anchor :step t354.t9 :args ((:= (veriT_vr99 A$) veriT_vr100)))
-(step t354.t9.t1 (cl (! (= veriT_vr99 veriT_vr100) :named @p_829)) :rule refl)
-(step t354.t9.t2 (cl (= @p_805 @p_828)) :rule cong :premises (t354.t9.t1))
-(step t354.t9.t3 (cl @p_829) :rule refl)
-(step t354.t9.t4 (cl (= @p_808 @p_830)) :rule cong :premises (t354.t9.t3))
-(step t354.t9.t5 (cl (= @p_810 @p_831)) :rule cong :premises (t354.t9.t4))
-(step t354.t9.t6 (cl (= @p_812 @p_827)) :rule cong :premises (t354.t9.t2 t354.t9.t5))
-(step t354.t9 (cl (= @p_814 (! (forall ((veriT_vr100 A$)) @p_827) :named @p_832))) :rule bind)
-(step t354.t10 (cl (= @p_822 (! (=> @p_800 @p_832) :named @p_833))) :rule cong :premises (t354.t9))
-(step t354.t11 (cl (= @p_823 (! (=> @p_832 @p_800) :named @p_834))) :rule cong :premises (t354.t9))
-(step t354.t12 (cl (! (= @p_826 (! (and @p_833 @p_834) :named @p_836)) :named @p_835)) :rule cong :premises (t354.t10 t354.t11))
-(step t354.t13 (cl (not @p_835) (not @p_826) @p_836) :rule equiv_pos2)
-(step t354.t14 (cl @p_836) :rule th_resolution :premises (t354.t8 t354.t12 t354.t13))
-(anchor :step t354.t15 :args ((:= (veriT_vr100 A$) veriT_sk5)))
-(step t354.t15.t1 (cl (! (= veriT_vr100 veriT_sk5) :named @p_839)) :rule refl)
-(step t354.t15.t2 (cl (= @p_828 (! (member$ veriT_sk5 @p_380) :named @p_838))) :rule cong :premises (t354.t15.t1))
-(step t354.t15.t3 (cl @p_839) :rule refl)
-(step t354.t15.t4 (cl (= @p_830 (! (member$ veriT_sk5 @p_381) :named @p_840))) :rule cong :premises (t354.t15.t3))
-(step t354.t15.t5 (cl (= @p_831 (! (not @p_840) :named @p_841))) :rule cong :premises (t354.t15.t4))
-(step t354.t15.t6 (cl (= @p_827 (! (=> @p_838 @p_841) :named @p_837))) :rule cong :premises (t354.t15.t2 t354.t15.t5))
-(step t354.t15 (cl (= @p_832 @p_837)) :rule sko_forall)
-(step t354.t16 (cl (= @p_834 (! (=> @p_837 @p_800) :named @p_842))) :rule cong :premises (t354.t15))
-(step t354.t17 (cl (! (= @p_836 (! (and @p_833 @p_842) :named @p_844)) :named @p_843)) :rule cong :premises (t354.t16))
-(step t354.t18 (cl (not @p_843) (not @p_836) @p_844) :rule equiv_pos2)
-(step t354.t19 (cl @p_844) :rule th_resolution :premises (t354.t14 t354.t17 t354.t18))
-(anchor :step t354.t20 :args ((:= (veriT_vr100 A$) veriT_vr101)))
-(step t354.t20.t1 (cl (! (= veriT_vr100 veriT_vr101) :named @p_847)) :rule refl)
-(step t354.t20.t2 (cl (= @p_828 (! (member$ veriT_vr101 @p_380) :named @p_846))) :rule cong :premises (t354.t20.t1))
-(step t354.t20.t3 (cl @p_847) :rule refl)
-(step t354.t20.t4 (cl (= @p_830 (! (member$ veriT_vr101 @p_381) :named @p_848))) :rule cong :premises (t354.t20.t3))
-(step t354.t20.t5 (cl (= @p_831 (! (not @p_848) :named @p_849))) :rule cong :premises (t354.t20.t4))
-(step t354.t20.t6 (cl (= @p_827 (! (=> @p_846 @p_849) :named @p_850))) :rule cong :premises (t354.t20.t2 t354.t20.t5))
-(step t354.t20 (cl (= @p_832 (! (forall ((veriT_vr101 A$)) @p_850) :named @p_845))) :rule bind)
-(step t354.t21 (cl (= @p_833 (! (=> @p_800 @p_845) :named @p_851))) :rule cong :premises (t354.t20))
-(step t354.t22 (cl (! (= @p_844 (! (and @p_851 @p_842) :named @p_852)) :named @p_853)) :rule cong :premises (t354.t21))
-(step t354.t23 (cl (not @p_853) (not @p_844) @p_852) :rule equiv_pos2)
-(step t354.t24 (cl @p_852) :rule th_resolution :premises (t354.t19 t354.t22 t354.t23))
-(step t354 (cl @p_825 @p_852) :rule subproof :discharge (h1))
-(step t355 (cl @p_798 @p_801) :rule or :premises (t353))
-(step t356 (cl (! (or @p_798 @p_852) :named @p_855) @p_854) :rule or_neg)
-(step t357 (cl @p_855 @p_703) :rule th_resolution :premises (t352 t356))
-(step t358 (cl @p_855 (! (not @p_852) :named @p_1004)) :rule or_neg)
-(step t359 (cl @p_855) :rule th_resolution :premises (t355 t354 t357 t358))
-(step t360 (cl (or @p_798 (! (and (! (=> @p_762 (! (forall ((veriT_vr90 A$)) (! (=> (! (member$ veriT_vr90 @p_715) :named @p_859) @p_809) :named @p_864)) :named @p_858)) :named @p_866) (! (=> (! (forall ((veriT_vr91 A$)) (! (=> (! (member$ veriT_vr91 @p_715) :named @p_869) @p_819) :named @p_871)) :named @p_868) @p_762) :named @p_872)) :named @p_856))) :rule forall_inst :args ((:= veriT_vr88 @p_381) (:= veriT_vr89 xs$)))
+(step t352 (cl (or (! (not @p_703) :named @p_851) (! (and (! (=> @p_762 (! (forall ((veriT_vr90 A$)) (! (=> (! (member$ veriT_vr90 @p_715) :named @p_801) (! (not (! (member$ veriT_vr90 @p_381) :named @p_804)) :named @p_806)) :named @p_808)) :named @p_800)) :named @p_810) (! (=> (! (forall ((veriT_vr91 A$)) (! (=> (! (member$ veriT_vr91 @p_715) :named @p_813) (! (not (! (member$ veriT_vr91 @p_381) :named @p_815)) :named @p_816)) :named @p_817)) :named @p_812) @p_762) :named @p_818)) :named @p_798))) :rule forall_inst :args ((:= veriT_vr88 @p_381) (:= veriT_vr89 xs$)))
+(anchor :step t353)
+(assume t353.h1 @p_798)
+(anchor :step t353.t2 :args ((:= (veriT_vr90 A$) veriT_vr96)))
+(step t353.t2.t1 (cl (! (= veriT_vr90 veriT_vr96) :named @p_803)) :rule refl)
+(step t353.t2.t2 (cl (= @p_801 (! (member$ veriT_vr96 @p_715) :named @p_802))) :rule cong :premises (t353.t2.t1))
+(step t353.t2.t3 (cl @p_803) :rule refl)
+(step t353.t2.t4 (cl (= @p_804 (! (member$ veriT_vr96 @p_381) :named @p_805))) :rule cong :premises (t353.t2.t3))
+(step t353.t2.t5 (cl (= @p_806 (! (not @p_805) :named @p_807))) :rule cong :premises (t353.t2.t4))
+(step t353.t2.t6 (cl (= @p_808 (! (=> @p_802 @p_807) :named @p_809))) :rule cong :premises (t353.t2.t2 t353.t2.t5))
+(step t353.t2 (cl (= @p_800 (! (forall ((veriT_vr96 A$)) @p_809) :named @p_811))) :rule bind)
+(step t353.t3 (cl (= @p_810 (! (=> @p_762 @p_811) :named @p_819))) :rule cong :premises (t353.t2))
+(anchor :step t353.t4 :args ((:= (veriT_vr91 A$) veriT_vr96)))
+(step t353.t4.t1 (cl (! (= veriT_vr91 veriT_vr96) :named @p_814)) :rule refl)
+(step t353.t4.t2 (cl (= @p_813 @p_802)) :rule cong :premises (t353.t4.t1))
+(step t353.t4.t3 (cl @p_814) :rule refl)
+(step t353.t4.t4 (cl (= @p_815 @p_805)) :rule cong :premises (t353.t4.t3))
+(step t353.t4.t5 (cl (= @p_816 @p_807)) :rule cong :premises (t353.t4.t4))
+(step t353.t4.t6 (cl (= @p_817 @p_809)) :rule cong :premises (t353.t4.t2 t353.t4.t5))
+(step t353.t4 (cl (= @p_812 @p_811)) :rule bind)
+(step t353.t5 (cl (= @p_818 (! (=> @p_811 @p_762) :named @p_820))) :rule cong :premises (t353.t4))
+(step t353.t6 (cl (! (= @p_798 (! (and @p_819 @p_820) :named @p_823)) :named @p_821)) :rule cong :premises (t353.t3 t353.t5))
+(step t353.t7 (cl (not @p_821) (! (not @p_798) :named @p_822) @p_823) :rule equiv_pos2)
+(step t353.t8 (cl @p_823) :rule th_resolution :premises (t353.h1 t353.t6 t353.t7))
+(anchor :step t353.t9 :args ((:= (veriT_vr96 A$) veriT_vr97)))
+(step t353.t9.t1 (cl (! (= veriT_vr96 veriT_vr97) :named @p_826)) :rule refl)
+(step t353.t9.t2 (cl (= @p_802 @p_825)) :rule cong :premises (t353.t9.t1))
+(step t353.t9.t3 (cl @p_826) :rule refl)
+(step t353.t9.t4 (cl (= @p_805 @p_827)) :rule cong :premises (t353.t9.t3))
+(step t353.t9.t5 (cl (= @p_807 @p_828)) :rule cong :premises (t353.t9.t4))
+(step t353.t9.t6 (cl (= @p_809 @p_824)) :rule cong :premises (t353.t9.t2 t353.t9.t5))
+(step t353.t9 (cl (= @p_811 (! (forall ((veriT_vr97 A$)) @p_824) :named @p_829))) :rule bind)
+(step t353.t10 (cl (= @p_819 (! (=> @p_762 @p_829) :named @p_830))) :rule cong :premises (t353.t9))
+(step t353.t11 (cl (= @p_820 (! (=> @p_829 @p_762) :named @p_831))) :rule cong :premises (t353.t9))
+(step t353.t12 (cl (! (= @p_823 (! (and @p_830 @p_831) :named @p_833)) :named @p_832)) :rule cong :premises (t353.t10 t353.t11))
+(step t353.t13 (cl (not @p_832) (not @p_823) @p_833) :rule equiv_pos2)
+(step t353.t14 (cl @p_833) :rule th_resolution :premises (t353.t8 t353.t12 t353.t13))
+(anchor :step t353.t15 :args ((:= (veriT_vr97 A$) veriT_sk4)))
+(step t353.t15.t1 (cl (! (= veriT_vr97 veriT_sk4) :named @p_836)) :rule refl)
+(step t353.t15.t2 (cl (= @p_825 (! (member$ veriT_sk4 @p_715) :named @p_835))) :rule cong :premises (t353.t15.t1))
+(step t353.t15.t3 (cl @p_836) :rule refl)
+(step t353.t15.t4 (cl (= @p_827 (! (member$ veriT_sk4 @p_381) :named @p_837))) :rule cong :premises (t353.t15.t3))
+(step t353.t15.t5 (cl (= @p_828 (! (not @p_837) :named @p_838))) :rule cong :premises (t353.t15.t4))
+(step t353.t15.t6 (cl (= @p_824 (! (=> @p_835 @p_838) :named @p_834))) :rule cong :premises (t353.t15.t2 t353.t15.t5))
+(step t353.t15 (cl (= @p_829 @p_834)) :rule sko_forall)
+(step t353.t16 (cl (= @p_831 (! (=> @p_834 @p_762) :named @p_839))) :rule cong :premises (t353.t15))
+(step t353.t17 (cl (! (= @p_833 (! (and @p_830 @p_839) :named @p_841)) :named @p_840)) :rule cong :premises (t353.t16))
+(step t353.t18 (cl (not @p_840) (not @p_833) @p_841) :rule equiv_pos2)
+(step t353.t19 (cl @p_841) :rule th_resolution :premises (t353.t14 t353.t17 t353.t18))
+(anchor :step t353.t20 :args ((:= (veriT_vr97 A$) veriT_vr98)))
+(step t353.t20.t1 (cl (! (= veriT_vr97 veriT_vr98) :named @p_844)) :rule refl)
+(step t353.t20.t2 (cl (= @p_825 (! (member$ veriT_vr98 @p_715) :named @p_843))) :rule cong :premises (t353.t20.t1))
+(step t353.t20.t3 (cl @p_844) :rule refl)
+(step t353.t20.t4 (cl (= @p_827 (! (member$ veriT_vr98 @p_381) :named @p_845))) :rule cong :premises (t353.t20.t3))
+(step t353.t20.t5 (cl (= @p_828 (! (not @p_845) :named @p_846))) :rule cong :premises (t353.t20.t4))
+(step t353.t20.t6 (cl (= @p_824 (! (=> @p_843 @p_846) :named @p_847))) :rule cong :premises (t353.t20.t2 t353.t20.t5))
+(step t353.t20 (cl (= @p_829 (! (forall ((veriT_vr98 A$)) @p_847) :named @p_842))) :rule bind)
+(step t353.t21 (cl (= @p_830 (! (=> @p_762 @p_842) :named @p_848))) :rule cong :premises (t353.t20))
+(step t353.t22 (cl (! (= @p_841 (! (and @p_848 @p_839) :named @p_849)) :named @p_850)) :rule cong :premises (t353.t21))
+(step t353.t23 (cl (not @p_850) (not @p_841) @p_849) :rule equiv_pos2)
+(step t353.t24 (cl @p_849) :rule th_resolution :premises (t353.t19 t353.t22 t353.t23))
+(step t353 (cl @p_822 @p_849) :rule subproof :discharge (h1))
+(step t354 (cl @p_851 @p_798) :rule or :premises (t352))
+(step t355 (cl (! (or @p_851 @p_849) :named @p_853) (! (not @p_851) :named @p_852)) :rule or_neg)
+(step t356 (cl (not @p_852) @p_703) :rule not_not)
+(step t357 (cl @p_853 @p_703) :rule th_resolution :premises (t356 t355))
+(step t358 (cl @p_853 (! (not @p_849) :named @p_1004)) :rule or_neg)
+(step t359 (cl @p_853) :rule th_resolution :premises (t354 t353 t357 t358))
+(step t360 (cl (or @p_851 (! (and (! (=> (! (fun_app$ @p_854 @p_792) :named @p_855) (! (forall ((veriT_vr90 A$)) (! (=> (! (member$ veriT_vr90 @p_380) :named @p_859) @p_806) :named @p_864)) :named @p_858)) :named @p_866) (! (=> (! (forall ((veriT_vr91 A$)) (! (=> (! (member$ veriT_vr91 @p_380) :named @p_869) @p_816) :named @p_871)) :named @p_868) @p_855) :named @p_872)) :named @p_856))) :rule forall_inst :args ((:= veriT_vr88 @p_381) (:= veriT_vr89 @p_9)))
 (anchor :step t361)
 (assume t361.h1 @p_856)
 (anchor :step t361.t2 :args ((:= (veriT_vr90 A$) veriT_vr102)))
 (step t361.t2.t1 (cl (! (= veriT_vr90 veriT_vr102) :named @p_861)) :rule refl)
-(step t361.t2.t2 (cl (= @p_859 (! (member$ veriT_vr102 @p_715) :named @p_860))) :rule cong :premises (t361.t2.t1))
+(step t361.t2.t2 (cl (= @p_859 (! (member$ veriT_vr102 @p_380) :named @p_860))) :rule cong :premises (t361.t2.t1))
 (step t361.t2.t3 (cl @p_861) :rule refl)
-(step t361.t2.t4 (cl (= @p_807 (! (member$ veriT_vr102 @p_381) :named @p_862))) :rule cong :premises (t361.t2.t3))
-(step t361.t2.t5 (cl (= @p_809 (! (not @p_862) :named @p_863))) :rule cong :premises (t361.t2.t4))
+(step t361.t2.t4 (cl (= @p_804 (! (member$ veriT_vr102 @p_381) :named @p_862))) :rule cong :premises (t361.t2.t3))
+(step t361.t2.t5 (cl (= @p_806 (! (not @p_862) :named @p_863))) :rule cong :premises (t361.t2.t4))
 (step t361.t2.t6 (cl (= @p_864 (! (=> @p_860 @p_863) :named @p_865))) :rule cong :premises (t361.t2.t2 t361.t2.t5))
 (step t361.t2 (cl (= @p_858 (! (forall ((veriT_vr102 A$)) @p_865) :named @p_867))) :rule bind)
-(step t361.t3 (cl (= @p_866 (! (=> @p_762 @p_867) :named @p_873))) :rule cong :premises (t361.t2))
+(step t361.t3 (cl (= @p_866 (! (=> @p_855 @p_867) :named @p_873))) :rule cong :premises (t361.t2))
 (anchor :step t361.t4 :args ((:= (veriT_vr91 A$) veriT_vr102)))
 (step t361.t4.t1 (cl (! (= veriT_vr91 veriT_vr102) :named @p_870)) :rule refl)
 (step t361.t4.t2 (cl (= @p_869 @p_860)) :rule cong :premises (t361.t4.t1))
 (step t361.t4.t3 (cl @p_870) :rule refl)
-(step t361.t4.t4 (cl (= @p_818 @p_862)) :rule cong :premises (t361.t4.t3))
-(step t361.t4.t5 (cl (= @p_819 @p_863)) :rule cong :premises (t361.t4.t4))
+(step t361.t4.t4 (cl (= @p_815 @p_862)) :rule cong :premises (t361.t4.t3))
+(step t361.t4.t5 (cl (= @p_816 @p_863)) :rule cong :premises (t361.t4.t4))
 (step t361.t4.t6 (cl (= @p_871 @p_865)) :rule cong :premises (t361.t4.t2 t361.t4.t5))
 (step t361.t4 (cl (= @p_868 @p_867)) :rule bind)
-(step t361.t5 (cl (= @p_872 (! (=> @p_867 @p_762) :named @p_874))) :rule cong :premises (t361.t4))
+(step t361.t5 (cl (= @p_872 (! (=> @p_867 @p_855) :named @p_874))) :rule cong :premises (t361.t4))
 (step t361.t6 (cl (! (= @p_856 (! (and @p_873 @p_874) :named @p_877)) :named @p_875)) :rule cong :premises (t361.t3 t361.t5))
 (step t361.t7 (cl (not @p_875) (! (not @p_856) :named @p_876) @p_877) :rule equiv_pos2)
 (step t361.t8 (cl @p_877) :rule th_resolution :premises (t361.h1 t361.t6 t361.t7))
@@ -4540,39 +4540,39 @@
 (step t361.t9.t5 (cl (= @p_863 @p_882)) :rule cong :premises (t361.t9.t4))
 (step t361.t9.t6 (cl (= @p_865 @p_878)) :rule cong :premises (t361.t9.t2 t361.t9.t5))
 (step t361.t9 (cl (= @p_867 (! (forall ((veriT_vr103 A$)) @p_878) :named @p_883))) :rule bind)
-(step t361.t10 (cl (= @p_873 (! (=> @p_762 @p_883) :named @p_884))) :rule cong :premises (t361.t9))
-(step t361.t11 (cl (= @p_874 (! (=> @p_883 @p_762) :named @p_885))) :rule cong :premises (t361.t9))
+(step t361.t10 (cl (= @p_873 (! (=> @p_855 @p_883) :named @p_884))) :rule cong :premises (t361.t9))
+(step t361.t11 (cl (= @p_874 (! (=> @p_883 @p_855) :named @p_885))) :rule cong :premises (t361.t9))
 (step t361.t12 (cl (! (= @p_877 (! (and @p_884 @p_885) :named @p_887)) :named @p_886)) :rule cong :premises (t361.t10 t361.t11))
 (step t361.t13 (cl (not @p_886) (not @p_877) @p_887) :rule equiv_pos2)
 (step t361.t14 (cl @p_887) :rule th_resolution :premises (t361.t8 t361.t12 t361.t13))
 (anchor :step t361.t15 :args ((:= (veriT_vr103 A$) veriT_sk6)))
 (step t361.t15.t1 (cl (! (= veriT_vr103 veriT_sk6) :named @p_890)) :rule refl)
-(step t361.t15.t2 (cl (= @p_879 (! (member$ veriT_sk6 @p_715) :named @p_889))) :rule cong :premises (t361.t15.t1))
+(step t361.t15.t2 (cl (= @p_879 (! (member$ veriT_sk6 @p_380) :named @p_889))) :rule cong :premises (t361.t15.t1))
 (step t361.t15.t3 (cl @p_890) :rule refl)
 (step t361.t15.t4 (cl (= @p_881 (! (member$ veriT_sk6 @p_381) :named @p_891))) :rule cong :premises (t361.t15.t3))
 (step t361.t15.t5 (cl (= @p_882 (! (not @p_891) :named @p_892))) :rule cong :premises (t361.t15.t4))
 (step t361.t15.t6 (cl (= @p_878 (! (=> @p_889 @p_892) :named @p_888))) :rule cong :premises (t361.t15.t2 t361.t15.t5))
 (step t361.t15 (cl (= @p_883 @p_888)) :rule sko_forall)
-(step t361.t16 (cl (= @p_885 (! (=> @p_888 @p_762) :named @p_893))) :rule cong :premises (t361.t15))
+(step t361.t16 (cl (= @p_885 (! (=> @p_888 @p_855) :named @p_893))) :rule cong :premises (t361.t15))
 (step t361.t17 (cl (! (= @p_887 (! (and @p_884 @p_893) :named @p_895)) :named @p_894)) :rule cong :premises (t361.t16))
 (step t361.t18 (cl (not @p_894) (not @p_887) @p_895) :rule equiv_pos2)
 (step t361.t19 (cl @p_895) :rule th_resolution :premises (t361.t14 t361.t17 t361.t18))
 (anchor :step t361.t20 :args ((:= (veriT_vr103 A$) veriT_vr104)))
 (step t361.t20.t1 (cl (! (= veriT_vr103 veriT_vr104) :named @p_898)) :rule refl)
-(step t361.t20.t2 (cl (= @p_879 (! (member$ veriT_vr104 @p_715) :named @p_897))) :rule cong :premises (t361.t20.t1))
+(step t361.t20.t2 (cl (= @p_879 (! (member$ veriT_vr104 @p_380) :named @p_897))) :rule cong :premises (t361.t20.t1))
 (step t361.t20.t3 (cl @p_898) :rule refl)
 (step t361.t20.t4 (cl (= @p_881 (! (member$ veriT_vr104 @p_381) :named @p_899))) :rule cong :premises (t361.t20.t3))
 (step t361.t20.t5 (cl (= @p_882 (! (not @p_899) :named @p_900))) :rule cong :premises (t361.t20.t4))
 (step t361.t20.t6 (cl (= @p_878 (! (=> @p_897 @p_900) :named @p_901))) :rule cong :premises (t361.t20.t2 t361.t20.t5))
 (step t361.t20 (cl (= @p_883 (! (forall ((veriT_vr104 A$)) @p_901) :named @p_896))) :rule bind)
-(step t361.t21 (cl (= @p_884 (! (=> @p_762 @p_896) :named @p_902))) :rule cong :premises (t361.t20))
+(step t361.t21 (cl (= @p_884 (! (=> @p_855 @p_896) :named @p_902))) :rule cong :premises (t361.t20))
 (step t361.t22 (cl (! (= @p_895 (! (and @p_902 @p_893) :named @p_903)) :named @p_904)) :rule cong :premises (t361.t21))
 (step t361.t23 (cl (not @p_904) (not @p_895) @p_903) :rule equiv_pos2)
 (step t361.t24 (cl @p_903) :rule th_resolution :premises (t361.t19 t361.t22 t361.t23))
 (step t361 (cl @p_876 @p_903) :rule subproof :discharge (h1))
-(step t362 (cl @p_798 @p_856) :rule or :premises (t360))
-(step t363 (cl (! (or @p_798 @p_903) :named @p_905) @p_854) :rule or_neg)
-(step t364 (cl @p_905 @p_703) :rule th_resolution :premises (t352 t363))
+(step t362 (cl @p_851 @p_856) :rule or :premises (t360))
+(step t363 (cl (! (or @p_851 @p_903) :named @p_905) @p_852) :rule or_neg)
+(step t364 (cl @p_905 @p_703) :rule th_resolution :premises (t356 t363))
 (step t365 (cl @p_905 (! (not @p_903) :named @p_1006)) :rule or_neg)
 (step t366 (cl @p_905) :rule th_resolution :premises (t362 t361 t364 t365))
 (step t367 (cl (or @p_906 (! (=> (! (forall ((veriT_vr76 A$)) (! (=> (! (member$ veriT_vr76 @p_21) :named @p_912) (! (member$ veriT_vr76 @p_760) :named @p_915)) :named @p_917)) :named @p_911) (! (fun_app$ @p_907 @p_760) :named @p_910)) :named @p_908))) :rule forall_inst :args ((:= veriT_vr74 @p_21) (:= veriT_vr75 @p_760)))
@@ -4686,20 +4686,20 @@
 (step t383 (cl (or @p_735 (! (= (! (= zero$ @p_998) :named @p_1001) (! (or @p_941 (not (finite$ @p_940))) :named @p_1011)) :named @p_1012))) :rule forall_inst :args ((:= veriT_vr35 @p_940)))
 (step t384 (cl (or (! (not @p_156) :named @p_1015) (! (= (! (= @p_999 @p_1000) :named @p_1014) @p_1001) :named @p_1013))) :rule forall_inst :args ((:= veriT_vr28 @p_999) (:= veriT_vr29 @p_998)))
 (step t385 (cl (or @p_791 (! (= (! (fun_app$ @p_43 @p_939) :named @p_1019) (! (and @p_44 (! (= @p_1 (! (fun_app$b card$ @p_1002) :named @p_1055)) :named @p_1017)) :named @p_1016)) :named @p_1018))) :rule forall_inst :args ((:= veriT_vr5 @p_938)))
-(step t386 (cl @p_837 @p_838) :rule implies_neg1)
-(step t387 (cl @p_837 (! (not @p_841) :named @p_1003)) :rule implies_neg2)
-(step t388 (cl (not @p_1003) @p_840) :rule not_not)
-(step t389 (cl @p_837 @p_840) :rule th_resolution :premises (t388 t387))
-(step t390 (cl (not @p_842) (not @p_837) @p_800) :rule implies_pos)
-(step t391 (cl @p_1004 @p_842) :rule and_pos)
-(step t392 (cl @p_798 @p_852) :rule or :premises (t359))
-(step t393 (cl @p_852) :rule resolution :premises (t392 t229))
-(step t394 (cl @p_842) :rule resolution :premises (t391 t393))
-(step t395 (cl (not @p_902) @p_1005 @p_896) :rule implies_pos)
-(step t396 (cl @p_1006 @p_902) :rule and_pos)
-(step t397 (cl @p_798 @p_903) :rule or :premises (t366))
+(step t386 (cl (not @p_848) @p_1003 @p_842) :rule implies_pos)
+(step t387 (cl @p_1004 @p_848) :rule and_pos)
+(step t388 (cl @p_851 @p_849) :rule or :premises (t359))
+(step t389 (cl @p_849) :rule resolution :premises (t388 t229))
+(step t390 (cl @p_848) :rule resolution :premises (t387 t389))
+(step t391 (cl @p_888 @p_889) :rule implies_neg1)
+(step t392 (cl @p_888 (! (not @p_892) :named @p_1005)) :rule implies_neg2)
+(step t393 (cl (not @p_1005) @p_891) :rule not_not)
+(step t394 (cl @p_888 @p_891) :rule th_resolution :premises (t393 t392))
+(step t395 (cl (not @p_893) (not @p_888) @p_855) :rule implies_pos)
+(step t396 (cl @p_1006 @p_893) :rule and_pos)
+(step t397 (cl @p_851 @p_903) :rule or :premises (t366))
 (step t398 (cl @p_903) :rule resolution :premises (t397 t229))
-(step t399 (cl @p_902) :rule resolution :premises (t396 t398))
+(step t399 (cl @p_893) :rule resolution :premises (t396 t398))
 (step t400 (cl @p_930 (not @p_933)) :rule implies_neg2)
 (step t401 (cl @p_1007 (not @p_930) @p_910) :rule implies_pos)
 (step t402 (cl @p_906 @p_934) :rule or :premises (t373))
@@ -4728,33 +4728,33 @@
 (step t425 (cl @p_1021 (! (not @p_1019) :named @p_1121) @p_1016) :rule equiv_pos2)
 (step t426 (cl @p_791 @p_1018) :rule or :premises (t385))
 (step t427 (cl @p_1018) :rule resolution :premises (t426 t39))
-(step t428 (cl (or (! (not @p_896) :named @p_1022) (! (forall ((veriT_vr104 A$)) (or (not @p_897) @p_900)) :named @p_1023))) :rule qnt_cnf)
+(step t428 (cl (or (! (not @p_842) :named @p_1022) (! (forall ((veriT_vr98 A$)) (or (not @p_843) @p_846)) :named @p_1023))) :rule qnt_cnf)
 (step t429 (cl @p_1022 @p_1023) :rule or :premises (t428))
-(step t430 (cl (or (! (not @p_1023) :named @p_1024) (! (or (! (not @p_979) :named @p_1031) @p_982) :named @p_1025))) :rule forall_inst :args ((:= veriT_vr104 veriT_sk14)))
+(step t430 (cl (or (! (not @p_1023) :named @p_1024) (! (or (! (not @p_979) :named @p_1031) @p_982) :named @p_1025))) :rule forall_inst :args ((:= veriT_vr98 veriT_sk14)))
 (step t431 (cl @p_1024 @p_1025) :rule or :premises (t430))
 (step t432 (cl (! (or @p_1022 @p_1025) :named @p_1027) (! (not @p_1022) :named @p_1026)) :rule or_neg)
-(step t433 (cl (not @p_1026) @p_896) :rule not_not)
-(step t434 (cl @p_1027 @p_896) :rule th_resolution :premises (t433 t432))
+(step t433 (cl (not @p_1026) @p_842) :rule not_not)
+(step t434 (cl @p_1027 @p_842) :rule th_resolution :premises (t433 t432))
 (step t435 (cl @p_1027 (! (not @p_1025) :named @p_1030)) :rule or_neg)
 (step t436 (cl @p_1027) :rule th_resolution :premises (t429 t431 t434 t435))
 (step t437 (cl @p_1028 @p_1029) :rule or :premises (t250))
 (step t438 (cl (not (! (not @p_1028) :named @p_1034)) @p_474) :rule not_not)
 (step t439 (cl @p_1030 @p_1031 @p_982) :rule or_pos)
 (step t440 (cl @p_1022 @p_1025) :rule or :premises (t436))
-(step t441 (cl (or (! (not @p_1029) :named @p_1032) (! (or (! (not @p_838) :named @p_1037) @p_841) :named @p_1033))) :rule forall_inst :args ((:= veriT_vr59 veriT_sk5)))
+(step t441 (cl (or (! (not @p_1029) :named @p_1032) (! (or (! (not @p_889) :named @p_1037) @p_892) :named @p_1033))) :rule forall_inst :args ((:= veriT_vr59 veriT_sk6)))
 (step t442 (cl @p_1032 @p_1033) :rule or :premises (t441))
 (step t443 (cl (! (or @p_1028 @p_1033) :named @p_1035) @p_1034) :rule or_neg)
 (step t444 (cl @p_1035 @p_474) :rule th_resolution :premises (t438 t443))
 (step t445 (cl @p_1035 (! (not @p_1033) :named @p_1036)) :rule or_neg)
 (step t446 (cl @p_1035) :rule th_resolution :premises (t437 t442 t444 t445))
 (step t447 (cl (or (! (not @p_135) :named @p_1038) (! (member$ veriT_sk11 top$) :named @p_1039))) :rule forall_inst :args ((:= veriT_vr15 veriT_sk11)))
-(step t448 (cl @p_1036 @p_1037 @p_841) :rule or_pos)
+(step t448 (cl @p_1036 @p_1037 @p_892) :rule or_pos)
 (step t449 (cl @p_1028 @p_1033) :rule or :premises (t446))
 (step t450 (cl @p_1038 @p_1039) :rule or :premises (t447))
 (step t451 (cl @p_1039) :rule resolution :premises (t450 t63))
 (step t452 (cl @p_1030 @p_978) :rule resolution :premises (t439 t409 t406))
 (step t453 (cl @p_1040 (! (not @p_722) :named @p_1043) @p_754) :rule eq_transitive)
-(step t454 (cl @p_1036 @p_837) :rule resolution :premises (t448 t389 t386))
+(step t454 (cl @p_1036 @p_888) :rule resolution :premises (t448 t394 t391))
 (step t455 (cl (not (! (= veriT_sk0 veriT_sk0) :named @p_1041)) (! (not (! (= @p_381 @p_721) :named @p_1045)) :named @p_1042) @p_453 @p_745) :rule eq_congruent_pred)
 (step t456 (cl @p_1041) :rule eq_reflexive)
 (step t457 (cl @p_1042 @p_453 @p_745) :rule th_resolution :premises (t455 t456))
@@ -4797,15 +4797,15 @@
 (step t494 (cl @p_1089 @p_1086 @p_1043) :rule th_resolution :premises (t491 t493))
 (step t495 (cl @p_1075 @p_1083 @p_1082 @p_1089 @p_1043) :rule th_resolution :premises (t490 t494))
 (step t496 (cl @p_1054 @p_1070 @p_1071 @p_400 @p_1069 @p_1067 @p_1068 @p_1083 @p_1082 @p_1089 @p_1043) :rule th_resolution :premises (t484 t495))
-(step t497 (cl @p_1054 @p_1070 @p_400) :rule resolution :premises (t496 t270 a10 t319 t344 t405 t293 a11 t266))
-(step t498 (cl (not (! (= @p_43 @p_799) :named @p_1091)) (! (not (! (= @p_21 @p_939) :named @p_1094)) :named @p_1093) @p_1019 @p_1005) :rule eq_congruent_pred)
+(step t497 (cl @p_1054 @p_1070 @p_400) :rule resolution :premises (t496 t270 axiom10 t319 t344 t405 t293 axiom11 t266))
+(step t498 (cl (not (! (= @p_43 @p_854) :named @p_1091)) (! (not (! (= @p_21 @p_939) :named @p_1094)) :named @p_1093) @p_1019 @p_1003) :rule eq_congruent_pred)
 (step t499 (cl (! (not @p_1090) :named @p_1092) @p_1051 @p_1091) :rule eq_congruent)
 (step t500 (cl @p_1092 @p_1091 @p_1040 @p_1043) :rule th_resolution :premises (t499 t453))
-(step t501 (cl @p_1093 @p_1019 @p_1005 @p_1092 @p_1040 @p_1043) :rule th_resolution :premises (t498 t500))
+(step t501 (cl @p_1093 @p_1019 @p_1003 @p_1092 @p_1040 @p_1043) :rule th_resolution :premises (t498 t500))
 (step t502 (cl @p_1040 @p_1043 @p_1067 @p_1068 @p_1094) :rule eq_transitive)
-(step t503 (cl @p_1019 @p_1005 @p_1092 @p_1040 @p_1043 @p_1040 @p_1043 @p_1067 @p_1068) :rule th_resolution :premises (t501 t502))
-(step t504 (cl @p_1019 @p_1005 @p_1092 @p_1040 @p_1043 @p_1067 @p_1068) :rule contraction :premises (t503))
-(step t505 (cl @p_1019 @p_1005 @p_1040) :rule resolution :premises (t504 a24 t266 t319 t270))
+(step t503 (cl @p_1019 @p_1003 @p_1092 @p_1040 @p_1043 @p_1040 @p_1043 @p_1067 @p_1068) :rule th_resolution :premises (t501 t502))
+(step t504 (cl @p_1019 @p_1003 @p_1092 @p_1040 @p_1043 @p_1067 @p_1068) :rule contraction :premises (t503))
+(step t505 (cl @p_1019 @p_1003 @p_1040) :rule resolution :premises (t504 axiom24 t266 t319 t270))
 (step t506 (cl (not (! (= @p_713 @p_757) :named @p_1095)) @p_773 (! (not @p_736) :named @p_1096)) :rule eq_congruent_pred)
 (step t507 (cl @p_1040 @p_794 @p_1095) :rule eq_transitive)
 (step t508 (cl @p_773 @p_1096 @p_1040 @p_794) :rule th_resolution :premises (t506 t507))
@@ -4818,8 +4818,8 @@
 (step t515 (cl @p_1104 @p_748 @p_1099 @p_1103) :rule th_resolution :premises (t511 t514))
 (step t516 (cl @p_1105) :rule eq_reflexive)
 (step t517 (cl @p_748 @p_1099 @p_1103) :rule th_resolution :premises (t515 t516))
-(step t518 (cl @p_748 @p_1099) :rule resolution :premises (t517 a18))
-(step t519 (cl rhs$) :rule resolution :premises (t471 t294 t243 t240 t246 t462 t497 t419 t416 t415 t410 t452 t422 t425 t505 t440 t282 t395 t284 t320 t328 t321 t509 t510 t301 t518 t248 t247 t296 t421 t418 t414 t427 t285 t399 t333 t323 t303))
+(step t518 (cl @p_748 @p_1099) :rule resolution :premises (t517 axiom18))
+(step t519 (cl rhs$) :rule resolution :premises (t471 t294 t243 t240 t246 t462 t497 t419 t416 t415 t410 t452 t422 t425 t505 t440 t282 t386 t284 t320 t328 t321 t509 t510 t301 t518 t248 t247 t296 t421 t418 t414 t427 t285 t390 t333 t323 t303))
 (step t520 (cl @p_493) :rule resolution :premises (t234 t519))
 (step t521 (cl @p_1099) :rule resolution :premises (t249 t519))
 (step t522 (cl @p_422) :rule resolution :premises (t231 t520))
@@ -4828,19 +4828,19 @@
 (step t525 (cl @p_733) :rule resolution :premises (t281 t522 t285))
 (step t526 (cl @p_1033) :rule resolution :premises (t449 t524))
 (step t527 (cl @p_7) :rule resolution :premises (t280 t525))
-(step t528 (cl @p_837) :rule resolution :premises (t454 t526))
-(step t529 (cl @p_800) :rule resolution :premises (t390 t528 t394))
+(step t528 (cl @p_888) :rule resolution :premises (t454 t526))
+(step t529 (cl @p_855) :rule resolution :premises (t395 t528 t399))
 (step t530 (cl @p_1106 @p_1104 @p_1107 @p_711) :rule eq_congruent_pred)
 (step t531 (cl @p_1104 @p_1107 @p_711 @p_1103) :rule th_resolution :premises (t530 t514))
 (step t532 (cl @p_1107 @p_711 @p_1103) :rule th_resolution :premises (t531 t516))
-(step t533 (cl @p_1107) :rule resolution :premises (t532 a18 t521))
-(step t534 (cl (! (not (! (= @p_799 @p_799) :named @p_1110)) :named @p_1108) (not @p_796) @p_762 (! (not @p_800) :named @p_1109)) :rule eq_congruent_pred)
+(step t533 (cl @p_1107) :rule resolution :premises (t532 axiom18 t521))
+(step t534 (cl (! (not (! (= @p_854 @p_854) :named @p_1110)) :named @p_1108) (not @p_796) @p_762 (! (not @p_855) :named @p_1109)) :rule eq_congruent_pred)
 (step t535 (cl @p_1108 @p_762 @p_1109 @p_794 @p_795 @p_797) :rule th_resolution :premises (t534 t351))
 (step t536 (cl @p_1110) :rule eq_reflexive)
 (step t537 (cl @p_762 @p_1109 @p_794 @p_795 @p_797) :rule th_resolution :premises (t535 t536))
 (step t538 (cl @p_762) :rule resolution :premises (t537 t268 t272 t274 t529))
 (step t539 (cl @p_1040) :rule resolution :premises (t300 t533 t303))
-(step t540 (cl @p_896) :rule resolution :premises (t395 t538 t399))
+(step t540 (cl @p_842) :rule resolution :premises (t386 t538 t390))
 (step t541 (cl @p_1025) :rule resolution :premises (t440 t540))
 (step t542 (cl @p_978) :rule resolution :premises (t452 t541))
 (step t543 (cl @p_941) :rule resolution :premises (t410 t542 t414))
@@ -4861,11 +4861,11 @@
 (step t558 (cl @p_708 @p_1072 @p_1071 @p_1070 @p_778 @p_1118 @p_1043) :rule th_resolution :premises (t550 t557))
 (step t559 (cl @p_708 @p_1071 @p_1070 @p_778 @p_1118 @p_1043 @p_1083 @p_1082 @p_1089 @p_1043) :rule th_resolution :premises (t558 t495))
 (step t560 (cl @p_708 @p_1071 @p_1070 @p_778 @p_1118 @p_1043 @p_1083 @p_1082 @p_1089) :rule contraction :premises (t559))
-(step t561 (cl @p_778) :rule resolution :premises (t560 a11 t523 t266 t293 t327 t344 a10 t546))
+(step t561 (cl @p_778) :rule resolution :premises (t560 axiom11 t523 t266 t293 t327 t344 axiom10 t546))
 (step t562 (cl @p_708 @p_1072 @p_1071 @p_1070 @p_1119 @p_1017) :rule eq_transitive)
 (step t563 (cl @p_708 @p_1072 @p_1071 @p_1070 @p_1017 @p_1069 @p_1067 @p_1068) :rule th_resolution :premises (t562 t483))
 (step t564 (cl @p_708 @p_1071 @p_1070 @p_1017 @p_1069 @p_1067 @p_1068 @p_1083 @p_1082 @p_1089 @p_1043) :rule th_resolution :premises (t563 t495))
-(step t565 (cl @p_1017) :rule resolution :premises (t564 a11 t523 t266 t270 a10 t319 t344 t405 t546 t293))
+(step t565 (cl @p_1017) :rule resolution :premises (t564 axiom11 t523 t266 t270 axiom10 t319 t344 t405 t546 t293))
 (step t566 (cl @p_767) :rule resolution :premises (t315 t549 t317))
 (step t567 (cl @p_777) :rule resolution :premises (t334 t561 t527))
 (step t568 (cl @p_1120) :rule resolution :premises (t314 t566 t538))
@@ -4875,7 +4875,7 @@
 (step t572 (cl @p_1092 @p_1111 @p_1123) :rule eq_congruent)
 (step t573 (cl @p_1092 @p_1123) :rule th_resolution :premises (t572 t513))
 (step t574 (cl @p_1121 @p_763 @p_1067 @p_1068 @p_1092) :rule th_resolution :premises (t571 t573))
-(step t575 (cl @p_1121) :rule resolution :premises (t574 a24 t270 t568 t319))
+(step t575 (cl @p_1121) :rule resolution :premises (t574 axiom24 t270 t568 t319))
 (step t576 (cl (not (! (= veriT_sk11 veriT_sk11) :named @p_1124)) (! (not (! (= top$ @p_760) :named @p_1128)) :named @p_1125) @p_933 (! (not @p_1039) :named @p_1126)) :rule eq_congruent_pred)
 (step t577 (cl @p_1124) :rule eq_reflexive)
 (step t578 (cl @p_1125 @p_933 @p_1126) :rule th_resolution :premises (t576 t577))
@@ -4893,36 +4893,36 @@
 (step t590 (cl @p_1134 @p_1135 @p_790 @p_1092) :rule th_resolution :premises (t589 t573))
 (step t591 (cl @p_1136) :rule eq_reflexive)
 (step t592 (cl @p_1135 @p_790 @p_1092) :rule th_resolution :premises (t590 t591))
-(step t593 (cl) :rule resolution :premises (t592 a24 t588 t586))
-8616c6debd3ebae49adf8409b8c1ecb6665bc881 654 0
+(step t593 (cl) :rule resolution :premises (t592 axiom24 t588 t586))
+d8bde960a6a2cb3d70d1b157d08487440b364301 654 0
 unsat
-(assume a0 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uua$ ?v0) :named @p_13) (! (line_integral_exists$ f$ (! (insert$ j$ bot$) :named @p_7)) :named @p_12)) :named @p_15)) :named @p_11))
-(assume a1 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uu$ ?v0) :named @p_25) (! (line_integral_exists$ f$ (! (insert$ i$ bot$) :named @p_5)) :named @p_24)) :named @p_27)) :named @p_23))
-(assume a2 (! (forall ((?v0 Int_real_real_real_prod_fun_bool_fun_fun$) (?v1 Int_real_real_real_prod_fun_prod$)) (! (= (! (case_prod$ ?v0 ?v1) :named @p_36) (! (fun_app$a (! (fun_app$ ?v0 (! (fst$ ?v1) :named @p_40)) :named @p_42) (! (snd$ ?v1) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
-(assume a3 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$)) (! (=> (! (= (! (insert$ ?v0 bot$) :named @p_3) (! (insert$ ?v1 bot$) :named @p_64)) :named @p_66) (! (= ?v0 ?v1) :named @p_70)) :named @p_72)) :named @p_62))
-(assume a4 (! (forall ((?v0 Int) (?v1 Real_real_real_prod_fun$)) (! (= ?v1 (! (snd$ (! (pair$ ?v0 ?v1) :named @p_87)) :named @p_89)) :named @p_91)) :named @p_85))
-(assume a5 (! (forall ((?v0 Real) (?v1 Real)) (! (= ?v1 (! (snd$a (! (fun_app$b (! (pair$a ?v0) :named @p_102) ?v1) :named @p_105)) :named @p_107)) :named @p_109)) :named @p_101))
-(assume a6 (! (member$ (! (pair$ k$ g$) :named @p_403) one_chain_typeI$) :named @p_402))
-(assume a7 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (= bot$ (! (inf$ ?v0 (! (insert$ ?v1 ?v2) :named @p_1)) :named @p_122)) :named @p_124) (! (and (! (not (! (member$a ?v1 ?v0) :named @p_128)) :named @p_130) (! (= bot$ (! (inf$ ?v0 ?v2) :named @p_133)) :named @p_135)) :named @p_137)) :named @p_139)) :named @p_120))
-(assume a8 (! (finite$ bot$) :named @p_414))
-(assume a9 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$)) (! (=> (! (finite$ ?v0) :named @p_4) (! (finite$ (! (insert$ ?v1 ?v0) :named @p_160)) :named @p_162)) :named @p_164)) :named @p_157))
-(assume a10 (! (= i$ (! (fun_app$b (pair$a 1.0) 0.0) :named @p_417)) :named @p_499))
-(assume a11 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (=> (! (member$a ?v0 ?v1) :named @p_176) (! (= ?v1 (! (insert$ ?v0 ?v1) :named @p_2)) :named @p_181)) :named @p_183)) :named @p_175))
-(assume a12 (! (= j$ (! (fun_app$b (pair$a 0.0) 1.0) :named @p_419)) :named @p_500))
-(assume a13 (! (forall ((?v0 Real_real_prod_set$)) (! (= bot$ (! (inf$ ?v0 bot$) :named @p_196)) :named @p_198)) :named @p_195))
-(assume a14 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (insert$ ?v0 @p_1) :named @p_208) (! (insert$ ?v1 (! (insert$ ?v0 ?v2) :named @p_213)) :named @p_215)) :named @p_217)) :named @p_206))
-(assume a15 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (= @p_2 (! (sup$ @p_3 ?v1) :named @p_236)) :named @p_238)) :named @p_231))
-(assume a16 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod_real_real_prod_fun$) (?v2 Real_real_prod_set$) (?v3 Real_real_real_prod_fun$) (?v4 Real_real_prod_set$)) (! (=> (! (and @p_4 (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v2) :named @p_252) ?v3) :named @p_254) (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v4) :named @p_257) ?v3) :named @p_260) (! (and (! (= ?v0 (! (sup$ ?v2 ?v4) :named @p_265)) :named @p_267) (! (= bot$ (! (inf$ ?v2 ?v4) :named @p_269)) :named @p_271)) :named @p_273)) :named @p_275)) :named @p_277)) :named @p_279) (! (= (! (line_integral$ ?v1 ?v0 ?v3) :named @p_281) (! (+ (! (line_integral$ ?v1 ?v2 ?v3) :named @p_283) (! (line_integral$ ?v1 ?v4 ?v3) :named @p_285)) :named @p_287)) :named @p_289)) :named @p_291)) :named @p_250))
-(assume a17 (! (and (! (= (one_chain_line_integral$ f$ @p_5 one_chain_typeI$) (one_chain_line_integral$ f$ @p_5 one_chain_typeII$)) :named @p_337) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeI$) :named @p_9) (! (case_prod$ uu$ ?v0) :named @p_6)) :named @p_326)) :named @p_322) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeII$) :named @p_8) @p_6) :named @p_331)) :named @p_328)) :named @p_333)) :named @p_336))
-(assume a18 (! (and (! (= (one_chain_line_integral$ f$ @p_7 one_chain_typeII$) (one_chain_line_integral$ f$ @p_7 one_chain_typeI$)) :named @p_377) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_8 (! (case_prod$ uua$ ?v0) :named @p_10)) :named @p_366)) :named @p_362) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_9 @p_10) :named @p_371)) :named @p_368)) :named @p_373)) :named @p_376))
-(assume a19 (not (! (= (! (line_integral$ f$ (! (insert$ i$ @p_7) :named @p_407) g$) :named @p_462) (! (+ (! (line_integral$ f$ @p_5 g$) :named @p_404) (! (line_integral$ f$ @p_7 g$) :named @p_405)) :named @p_463)) :named @p_410)))
+(assume axiom0 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uua$ ?v0) :named @p_13) (! (line_integral_exists$ f$ (! (insert$ j$ bot$) :named @p_7)) :named @p_12)) :named @p_15)) :named @p_11))
+(assume axiom1 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uu$ ?v0) :named @p_25) (! (line_integral_exists$ f$ (! (insert$ i$ bot$) :named @p_5)) :named @p_24)) :named @p_27)) :named @p_23))
+(assume axiom2 (! (forall ((?v0 Int_real_real_real_prod_fun_bool_fun_fun$) (?v1 Int_real_real_real_prod_fun_prod$)) (! (= (! (case_prod$ ?v0 ?v1) :named @p_36) (! (fun_app$a (! (fun_app$ ?v0 (! (fst$ ?v1) :named @p_40)) :named @p_42) (! (snd$ ?v1) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
+(assume axiom3 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$)) (! (=> (! (= (! (insert$ ?v0 bot$) :named @p_3) (! (insert$ ?v1 bot$) :named @p_64)) :named @p_66) (! (= ?v0 ?v1) :named @p_70)) :named @p_72)) :named @p_62))
+(assume axiom4 (! (forall ((?v0 Int) (?v1 Real_real_real_prod_fun$)) (! (= ?v1 (! (snd$ (! (pair$ ?v0 ?v1) :named @p_87)) :named @p_89)) :named @p_91)) :named @p_85))
+(assume axiom5 (! (forall ((?v0 Real) (?v1 Real)) (! (= ?v1 (! (snd$a (! (fun_app$b (! (pair$a ?v0) :named @p_102) ?v1) :named @p_105)) :named @p_107)) :named @p_109)) :named @p_101))
+(assume axiom6 (! (member$ (! (pair$ k$ g$) :named @p_403) one_chain_typeI$) :named @p_402))
+(assume axiom7 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (= bot$ (! (inf$ ?v0 (! (insert$ ?v1 ?v2) :named @p_1)) :named @p_122)) :named @p_124) (! (and (! (not (! (member$a ?v1 ?v0) :named @p_128)) :named @p_130) (! (= bot$ (! (inf$ ?v0 ?v2) :named @p_133)) :named @p_135)) :named @p_137)) :named @p_139)) :named @p_120))
+(assume axiom8 (! (finite$ bot$) :named @p_414))
+(assume axiom9 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$)) (! (=> (! (finite$ ?v0) :named @p_4) (! (finite$ (! (insert$ ?v1 ?v0) :named @p_160)) :named @p_162)) :named @p_164)) :named @p_157))
+(assume axiom10 (! (= i$ (! (fun_app$b (pair$a 1.0) 0.0) :named @p_417)) :named @p_499))
+(assume axiom11 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (=> (! (member$a ?v0 ?v1) :named @p_176) (! (= ?v1 (! (insert$ ?v0 ?v1) :named @p_2)) :named @p_181)) :named @p_183)) :named @p_175))
+(assume axiom12 (! (= j$ (! (fun_app$b (pair$a 0.0) 1.0) :named @p_419)) :named @p_500))
+(assume axiom13 (! (forall ((?v0 Real_real_prod_set$)) (! (= bot$ (! (inf$ ?v0 bot$) :named @p_196)) :named @p_198)) :named @p_195))
+(assume axiom14 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (insert$ ?v0 @p_1) :named @p_208) (! (insert$ ?v1 (! (insert$ ?v0 ?v2) :named @p_213)) :named @p_215)) :named @p_217)) :named @p_206))
+(assume axiom15 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (= @p_2 (! (sup$ @p_3 ?v1) :named @p_236)) :named @p_238)) :named @p_231))
+(assume axiom16 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod_real_real_prod_fun$) (?v2 Real_real_prod_set$) (?v3 Real_real_real_prod_fun$) (?v4 Real_real_prod_set$)) (! (=> (! (and @p_4 (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v2) :named @p_252) ?v3) :named @p_254) (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v4) :named @p_257) ?v3) :named @p_260) (! (and (! (= ?v0 (! (sup$ ?v2 ?v4) :named @p_265)) :named @p_267) (! (= bot$ (! (inf$ ?v2 ?v4) :named @p_269)) :named @p_271)) :named @p_273)) :named @p_275)) :named @p_277)) :named @p_279) (! (= (! (line_integral$ ?v1 ?v0 ?v3) :named @p_281) (! (+ (! (line_integral$ ?v1 ?v2 ?v3) :named @p_283) (! (line_integral$ ?v1 ?v4 ?v3) :named @p_285)) :named @p_287)) :named @p_289)) :named @p_291)) :named @p_250))
+(assume axiom17 (! (and (! (= (one_chain_line_integral$ f$ @p_5 one_chain_typeI$) (one_chain_line_integral$ f$ @p_5 one_chain_typeII$)) :named @p_337) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeI$) :named @p_9) (! (case_prod$ uu$ ?v0) :named @p_6)) :named @p_326)) :named @p_322) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeII$) :named @p_8) @p_6) :named @p_331)) :named @p_328)) :named @p_333)) :named @p_336))
+(assume axiom18 (! (and (! (= (one_chain_line_integral$ f$ @p_7 one_chain_typeII$) (one_chain_line_integral$ f$ @p_7 one_chain_typeI$)) :named @p_377) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_8 (! (case_prod$ uua$ ?v0) :named @p_10)) :named @p_366)) :named @p_362) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_9 @p_10) :named @p_371)) :named @p_368)) :named @p_373)) :named @p_376))
+(assume axiom19 (not (! (= (! (line_integral$ f$ (! (insert$ i$ @p_7) :named @p_407) g$) :named @p_462) (! (+ (! (line_integral$ f$ @p_5 g$) :named @p_404) (! (line_integral$ f$ @p_7 g$) :named @p_405)) :named @p_463)) :named @p_410)))
 (anchor :step t21 :args ((:= (?v0 Int) veriT_vr0)))
 (step t21.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
 (step t21.t2 (cl (= @p_13 (! (fun_app$ uua$ veriT_vr0) :named @p_14))) :rule cong :premises (t21.t1))
 (step t21.t3 (cl (= @p_15 (! (= @p_12 @p_14) :named @p_16))) :rule cong :premises (t21.t2))
 (step t21 (cl (! (= @p_11 (! (forall ((veriT_vr0 Int)) @p_16) :named @p_18)) :named @p_17)) :rule bind)
 (step t22 (cl (not @p_17) (not @p_11) @p_18) :rule equiv_pos2)
-(step t23 (cl @p_18) :rule th_resolution :premises (a0 t21 t22))
+(step t23 (cl @p_18) :rule th_resolution :premises (axiom0 t21 t22))
 (anchor :step t24 :args ((:= (veriT_vr0 Int) veriT_vr1)))
 (step t24.t1 (cl (= veriT_vr0 veriT_vr1)) :rule refl)
 (step t24.t2 (cl (= @p_14 (! (fun_app$ uua$ veriT_vr1) :named @p_19))) :rule cong :premises (t24.t1))
@@ -4936,7 +4936,7 @@
 (step t27.t3 (cl (= @p_27 (! (= @p_24 @p_26) :named @p_28))) :rule cong :premises (t27.t2))
 (step t27 (cl (! (= @p_23 (! (forall ((veriT_vr2 Int)) @p_28) :named @p_30)) :named @p_29)) :rule bind)
 (step t28 (cl (not @p_29) (not @p_23) @p_30) :rule equiv_pos2)
-(step t29 (cl @p_30) :rule th_resolution :premises (a1 t27 t28))
+(step t29 (cl @p_30) :rule th_resolution :premises (axiom1 t27 t28))
 (anchor :step t30 :args ((:= (veriT_vr2 Int) veriT_vr3)))
 (step t30.t1 (cl (= veriT_vr2 veriT_vr3)) :rule refl)
 (step t30.t2 (cl (= @p_26 (! (fun_app$ uu$ veriT_vr3) :named @p_31))) :rule cong :premises (t30.t1))
@@ -4958,7 +4958,7 @@
 (step t33.t11 (cl (= @p_48 (! (= @p_37 @p_47) :named @p_49))) :rule cong :premises (t33.t3 t33.t10))
 (step t33 (cl (! (= @p_35 (! (forall ((veriT_vr4 Int_real_real_real_prod_fun_bool_fun_fun$) (veriT_vr5 Int_real_real_real_prod_fun_prod$)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
 (step t34 (cl (not @p_50) (not @p_35) @p_51) :rule equiv_pos2)
-(step t35 (cl @p_51) :rule th_resolution :premises (a2 t33 t34))
+(step t35 (cl @p_51) :rule th_resolution :premises (axiom2 t33 t34))
 (anchor :step t36 :args ((:= (veriT_vr4 Int_real_real_real_prod_fun_bool_fun_fun$) veriT_vr6) (:= (veriT_vr5 Int_real_real_real_prod_fun_prod$) veriT_vr7)))
 (step t36.t1 (cl (! (= veriT_vr4 veriT_vr6) :named @p_53)) :rule refl)
 (step t36.t2 (cl (! (= veriT_vr5 veriT_vr7) :named @p_54)) :rule refl)
@@ -4986,7 +4986,7 @@
 (step t39.t9 (cl (= @p_72 (! (=> @p_67 @p_71) :named @p_73))) :rule cong :premises (t39.t5 t39.t8))
 (step t39 (cl (! (= @p_62 (! (forall ((veriT_vr8 Real_real_prod$) (veriT_vr9 Real_real_prod$)) @p_73) :named @p_75)) :named @p_74)) :rule bind)
 (step t40 (cl (not @p_74) (not @p_62) @p_75) :rule equiv_pos2)
-(step t41 (cl @p_75) :rule th_resolution :premises (a3 t39 t40))
+(step t41 (cl @p_75) :rule th_resolution :premises (axiom3 t39 t40))
 (anchor :step t42 :args ((:= (veriT_vr8 Real_real_prod$) veriT_vr10) (:= (veriT_vr9 Real_real_prod$) veriT_vr11)))
 (step t42.t1 (cl (! (= veriT_vr8 veriT_vr10) :named @p_79)) :rule refl)
 (step t42.t2 (cl (= @p_63 (! (insert$ veriT_vr10 bot$) :named @p_76))) :rule cong :premises (t42.t1))
@@ -5009,7 +5009,7 @@
 (step t45.t6 (cl (= @p_91 (! (= veriT_vr13 @p_90) :named @p_92))) :rule cong :premises (t45.t1 t45.t5))
 (step t45 (cl (! (= @p_85 (! (forall ((veriT_vr12 Int) (veriT_vr13 Real_real_real_prod_fun$)) @p_92) :named @p_94)) :named @p_93)) :rule bind)
 (step t46 (cl (not @p_93) (not @p_85) @p_94) :rule equiv_pos2)
-(step t47 (cl @p_94) :rule th_resolution :premises (a4 t45 t46))
+(step t47 (cl @p_94) :rule th_resolution :premises (axiom4 t45 t46))
 (anchor :step t48 :args ((:= (veriT_vr12 Int) veriT_vr14) (:= (veriT_vr13 Real_real_real_prod_fun$) veriT_vr15)))
 (step t48.t1 (cl (! (= veriT_vr13 veriT_vr15) :named @p_95)) :rule refl)
 (step t48.t2 (cl (= veriT_vr12 veriT_vr14)) :rule refl)
@@ -5030,7 +5030,7 @@
 (step t51.t7 (cl (= @p_109 (! (= veriT_vr17 @p_108) :named @p_110))) :rule cong :premises (t51.t1 t51.t6))
 (step t51 (cl (! (= @p_101 (! (forall ((veriT_vr16 Real) (veriT_vr17 Real)) @p_110) :named @p_112)) :named @p_111)) :rule bind)
 (step t52 (cl (not @p_111) (not @p_101) @p_112) :rule equiv_pos2)
-(step t53 (cl @p_112) :rule th_resolution :premises (a5 t51 t52))
+(step t53 (cl @p_112) :rule th_resolution :premises (axiom5 t51 t52))
 (anchor :step t54 :args ((:= (veriT_vr16 Real) veriT_vr18) (:= (veriT_vr17 Real) veriT_vr19)))
 (step t54.t1 (cl (! (= veriT_vr17 veriT_vr19) :named @p_114)) :rule refl)
 (step t54.t2 (cl (= veriT_vr16 veriT_vr18)) :rule refl)
@@ -5061,7 +5061,7 @@
 (step t57.t16 (cl (= @p_139 (! (= @p_125 @p_138) :named @p_140))) :rule cong :premises (t57.t6 t57.t15))
 (step t57 (cl (! (= @p_120 (! (forall ((veriT_vr20 Real_real_prod_set$) (veriT_vr21 Real_real_prod$) (veriT_vr22 Real_real_prod_set$)) @p_140) :named @p_142)) :named @p_141)) :rule bind)
 (step t58 (cl (not @p_141) (not @p_120) @p_142) :rule equiv_pos2)
-(step t59 (cl @p_142) :rule th_resolution :premises (a7 t57 t58))
+(step t59 (cl @p_142) :rule th_resolution :premises (axiom7 t57 t58))
 (anchor :step t60 :args ((:= (veriT_vr20 Real_real_prod_set$) veriT_vr23) (:= (veriT_vr21 Real_real_prod$) veriT_vr24) (:= (veriT_vr22 Real_real_prod_set$) veriT_vr25)))
 (step t60.t1 (cl (! (= veriT_vr20 veriT_vr23) :named @p_147)) :rule refl)
 (step t60.t2 (cl (! (= veriT_vr21 veriT_vr24) :named @p_146)) :rule refl)
@@ -5092,7 +5092,7 @@
 (step t63.t7 (cl (= @p_164 (! (=> @p_158 @p_163) :named @p_165))) :rule cong :premises (t63.t2 t63.t6))
 (step t63 (cl (! (= @p_157 (! (forall ((veriT_vr26 Real_real_prod_set$) (veriT_vr27 Real_real_prod$)) @p_165) :named @p_167)) :named @p_166)) :rule bind)
 (step t64 (cl (not @p_166) (not @p_157) @p_167) :rule equiv_pos2)
-(step t65 (cl @p_167) :rule th_resolution :premises (a9 t63 t64))
+(step t65 (cl @p_167) :rule th_resolution :premises (axiom9 t63 t64))
 (anchor :step t66 :args ((:= (veriT_vr26 Real_real_prod_set$) veriT_vr28) (:= (veriT_vr27 Real_real_prod$) veriT_vr29)))
 (step t66.t1 (cl (! (= veriT_vr26 veriT_vr28) :named @p_169)) :rule refl)
 (step t66.t2 (cl (= @p_158 (! (finite$ veriT_vr28) :named @p_168))) :rule cong :premises (t66.t1))
@@ -5116,7 +5116,7 @@
 (step t69.t9 (cl (= @p_183 (! (=> @p_177 @p_182) :named @p_184))) :rule cong :premises (t69.t3 t69.t8))
 (step t69 (cl (! (= @p_175 (! (forall ((veriT_vr30 Real_real_prod$) (veriT_vr31 Real_real_prod_set$)) @p_184) :named @p_186)) :named @p_185)) :rule bind)
 (step t70 (cl (not @p_185) (not @p_175) @p_186) :rule equiv_pos2)
-(step t71 (cl @p_186) :rule th_resolution :premises (a11 t69 t70))
+(step t71 (cl @p_186) :rule th_resolution :premises (axiom11 t69 t70))
 (anchor :step t72 :args ((:= (veriT_vr30 Real_real_prod$) veriT_vr32) (:= (veriT_vr31 Real_real_prod_set$) veriT_vr33)))
 (step t72.t1 (cl (! (= veriT_vr30 veriT_vr32) :named @p_189)) :rule refl)
 (step t72.t2 (cl (! (= veriT_vr31 veriT_vr33) :named @p_188)) :rule refl)
@@ -5136,7 +5136,7 @@
 (step t75.t3 (cl (= @p_198 (! (= bot$ @p_197) :named @p_199))) :rule cong :premises (t75.t2))
 (step t75 (cl (! (= @p_195 (! (forall ((veriT_vr34 Real_real_prod_set$)) @p_199) :named @p_201)) :named @p_200)) :rule bind)
 (step t76 (cl (not @p_200) (not @p_195) @p_201) :rule equiv_pos2)
-(step t77 (cl @p_201) :rule th_resolution :premises (a13 t75 t76))
+(step t77 (cl @p_201) :rule th_resolution :premises (axiom13 t75 t76))
 (anchor :step t78 :args ((:= (veriT_vr34 Real_real_prod_set$) veriT_vr35)))
 (step t78.t1 (cl (= veriT_vr34 veriT_vr35)) :rule refl)
 (step t78.t2 (cl (= @p_197 (! (inf$ veriT_vr35 bot$) :named @p_202))) :rule cong :premises (t78.t1))
@@ -5158,7 +5158,7 @@
 (step t81.t11 (cl (= @p_217 (! (= @p_209 @p_216) :named @p_218))) :rule cong :premises (t81.t5 t81.t10))
 (step t81 (cl (! (= @p_206 (! (forall ((veriT_vr36 Real_real_prod$) (veriT_vr37 Real_real_prod$) (veriT_vr38 Real_real_prod_set$)) @p_218) :named @p_220)) :named @p_219)) :rule bind)
 (step t82 (cl (not @p_219) (not @p_206) @p_220) :rule equiv_pos2)
-(step t83 (cl @p_220) :rule th_resolution :premises (a14 t81 t82))
+(step t83 (cl @p_220) :rule th_resolution :premises (axiom14 t81 t82))
 (anchor :step t84 :args ((:= (veriT_vr36 Real_real_prod$) veriT_vr39) (:= (veriT_vr37 Real_real_prod$) veriT_vr40) (:= (veriT_vr38 Real_real_prod_set$) veriT_vr41)))
 (step t84.t1 (cl (! (= veriT_vr36 veriT_vr39) :named @p_224)) :rule refl)
 (step t84.t2 (cl (! (= veriT_vr37 veriT_vr40) :named @p_223)) :rule refl)
@@ -5185,7 +5185,7 @@
 (step t87.t8 (cl (= @p_238 (! (= @p_232 @p_237) :named @p_239))) :rule cong :premises (t87.t3 t87.t7))
 (step t87 (cl (! (= @p_231 (! (forall ((veriT_vr42 Real_real_prod$) (veriT_vr43 Real_real_prod_set$)) @p_239) :named @p_241)) :named @p_240)) :rule bind)
 (step t88 (cl (not @p_240) (not @p_231) @p_241) :rule equiv_pos2)
-(step t89 (cl @p_241) :rule th_resolution :premises (a15 t87 t88))
+(step t89 (cl @p_241) :rule th_resolution :premises (axiom15 t87 t88))
 (anchor :step t90 :args ((:= (veriT_vr42 Real_real_prod$) veriT_vr44) (:= (veriT_vr43 Real_real_prod_set$) veriT_vr45)))
 (step t90.t1 (cl (! (= veriT_vr42 veriT_vr44) :named @p_243)) :rule refl)
 (step t90.t2 (cl (! (= veriT_vr43 veriT_vr45) :named @p_245)) :rule refl)
@@ -5241,7 +5241,7 @@
 (step t93.t40 (cl (= @p_291 (! (=> @p_280 @p_290) :named @p_292))) :rule cong :premises (t93.t25 t93.t39))
 (step t93 (cl (! (= @p_250 (! (forall ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)) @p_292) :named @p_294)) :named @p_293)) :rule bind)
 (step t94 (cl (not @p_293) (not @p_250) @p_294) :rule equiv_pos2)
-(step t95 (cl @p_294) :rule th_resolution :premises (a16 t93 t94))
+(step t95 (cl @p_294) :rule th_resolution :premises (axiom16 t93 t94))
 (anchor :step t96 :args ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)))
 (step t96.t1 (cl (= @p_280 (! (and @p_251 @p_255 @p_261 @p_268 @p_272) :named @p_295))) :rule ac_simp)
 (step t96.t2 (cl (= @p_292 (! (=> @p_295 @p_290) :named @p_296))) :rule cong :premises (t96.t1))
@@ -5306,7 +5306,7 @@
 (step t104 (cl (= @p_333 (! (and @p_334 @p_335) :named @p_338))) :rule cong :premises (t102 t103))
 (step t105 (cl (! (= @p_336 (! (and @p_337 @p_338) :named @p_340)) :named @p_339)) :rule cong :premises (t104))
 (step t106 (cl (not @p_339) (not @p_336) @p_340) :rule equiv_pos2)
-(step t107 (cl @p_340) :rule th_resolution :premises (a17 t105 t106))
+(step t107 (cl @p_340) :rule th_resolution :premises (axiom17 t105 t106))
 (step t108 (cl (! (= @p_340 (! (and @p_337 @p_334 @p_335) :named @p_342)) :named @p_341)) :rule ac_simp)
 (step t109 (cl (not @p_341) (not @p_340) @p_342) :rule equiv_pos2)
 (step t110 (cl @p_342) :rule th_resolution :premises (t107 t108 t109))
@@ -5354,7 +5354,7 @@
 (step t122 (cl (= @p_373 (! (and @p_374 @p_375) :named @p_378))) :rule cong :premises (t120 t121))
 (step t123 (cl (! (= @p_376 (! (and @p_377 @p_378) :named @p_380)) :named @p_379)) :rule cong :premises (t122))
 (step t124 (cl (not @p_379) (not @p_376) @p_380) :rule equiv_pos2)
-(step t125 (cl @p_380) :rule th_resolution :premises (a18 t123 t124))
+(step t125 (cl @p_380) :rule th_resolution :premises (axiom18 t123 t124))
 (step t126 (cl (! (= @p_380 (! (and @p_377 @p_374 @p_375) :named @p_382)) :named @p_381)) :rule ac_simp)
 (step t127 (cl (not @p_381) (not @p_380) @p_382) :rule equiv_pos2)
 (step t128 (cl @p_382) :rule th_resolution :premises (t125 t126 t127))
@@ -5403,12 +5403,12 @@
 (step t153 (cl (or (! (not @p_84) :named @p_461) (! (=> (! (= @p_7 @p_5) :named @p_459) (! (= j$ i$) :named @p_460)) :named @p_458))) :rule forall_inst :args ((:= veriT_vr10 i$) (:= veriT_vr11 j$)))
 (step t154 (cl (! (not @p_420) :named @p_423) (! (not @p_402) :named @p_425) @p_421) :rule implies_pos)
 (step t155 (cl @p_422 @p_420) :rule or :premises (t140))
-(step t156 (cl @p_423 @p_421) :rule resolution :premises (t154 a6))
+(step t156 (cl @p_423 @p_421) :rule resolution :premises (t154 axiom6))
 (step t157 (cl @p_420) :rule resolution :premises (t155 t139))
 (step t158 (cl @p_421) :rule resolution :premises (t156 t157))
 (step t159 (cl (! (not @p_424) :named @p_428) @p_425 @p_426) :rule implies_pos)
 (step t160 (cl @p_427 @p_424) :rule or :premises (t141))
-(step t161 (cl @p_428 @p_426) :rule resolution :premises (t159 a6))
+(step t161 (cl @p_428 @p_426) :rule resolution :premises (t159 axiom6))
 (step t162 (cl @p_424) :rule resolution :premises (t160 t138))
 (step t163 (cl @p_426) :rule resolution :premises (t161 t162))
 (step t164 (cl @p_429 (not @p_415) (! (not @p_409) :named @p_436) (! (not @p_408) :named @p_435) (not @p_430) (not @p_431)) :rule and_neg)
@@ -5418,7 +5418,7 @@
 (step t168 (cl @p_434 (not @p_412) @p_435 @p_436 (not @p_411) (! (not @p_437) :named @p_515)) :rule and_neg)
 (step t169 (cl (! (not @p_438) :named @p_439) (! (not @p_434) :named @p_440) @p_410) :rule implies_pos)
 (step t170 (cl @p_406 @p_438) :rule or :premises (t143))
-(step t171 (cl @p_439 @p_440) :rule resolution :premises (t169 a19))
+(step t171 (cl @p_439 @p_440) :rule resolution :premises (t169 axiom19))
 (step t172 (cl @p_438) :rule resolution :premises (t170 t101))
 (step t173 (cl @p_440) :rule resolution :premises (t171 t172))
 (step t174 (cl @p_441 @p_411) :rule or :premises (t144))
@@ -5433,12 +5433,12 @@
 (step t183 (cl @p_448) :rule resolution :premises (t182 t68))
 (step t184 (cl (! (not @p_449) :named @p_450) (! (not @p_414) :named @p_452) @p_415) :rule implies_pos)
 (step t185 (cl @p_413 @p_449) :rule or :premises (t148))
-(step t186 (cl @p_450 @p_415) :rule resolution :premises (t184 a8))
+(step t186 (cl @p_450 @p_415) :rule resolution :premises (t184 axiom8))
 (step t187 (cl @p_449) :rule resolution :premises (t185 t68))
 (step t188 (cl @p_415) :rule resolution :premises (t186 t187))
 (step t189 (cl (! (not @p_451) :named @p_453) @p_452 @p_416) :rule implies_pos)
 (step t190 (cl @p_413 @p_451) :rule or :premises (t149))
-(step t191 (cl @p_453 @p_416) :rule resolution :premises (t189 a8))
+(step t191 (cl @p_453 @p_416) :rule resolution :premises (t189 axiom8))
 (step t192 (cl @p_451) :rule resolution :premises (t190 t68))
 (step t193 (cl @p_416) :rule resolution :premises (t191 t192))
 (step t194 (cl @p_412) :rule resolution :premises (t181 t193 t183))
@@ -5453,7 +5453,7 @@
 (step t203 (cl @p_458) :rule resolution :premises (t202 t44))
 (step t204 (cl (or @p_410 (! (not (! (<= @p_462 @p_463) :named @p_534)) :named @p_464) (! (not (! (<= @p_463 @p_462) :named @p_535)) :named @p_465))) :rule la_disequality)
 (step t205 (cl @p_410 @p_464 @p_465) :rule or :premises (t204))
-(step t206 (cl @p_464 @p_465) :rule resolution :premises (t205 a19))
+(step t206 (cl @p_464 @p_465) :rule resolution :premises (t205 axiom19))
 (step t207 (cl (or @p_441 (! (= @p_466 @p_467) :named @p_474))) :rule forall_inst :args ((:= veriT_vr44 j$) (:= veriT_vr45 @p_5)))
 (step t208 (cl (or @p_447 (! (=> (! (member$a j$ @p_5) :named @p_468) (! (= @p_5 @p_467) :named @p_477)) :named @p_475))) :rule forall_inst :args ((:= veriT_vr32 j$) (:= veriT_vr33 @p_5)))
 (step t209 (cl (or (! (not @p_156) :named @p_469) (! (= @p_437 (! (and (! (not @p_468) :named @p_476) (! (= bot$ (inf$ @p_5 bot$)) :named @p_479)) :named @p_478)) :named @p_482))) :rule forall_inst :args ((:= veriT_vr23 @p_5) (:= veriT_vr24 j$) (:= veriT_vr25 bot$)))
@@ -5501,7 +5501,7 @@
 (step t251 (cl @p_498 @p_502 @p_503 @p_504) :rule th_resolution :premises (t249 t250))
 (step t252 (cl @p_505 @p_506 @p_497 @p_502 @p_503 @p_504) :rule th_resolution :premises (t248 t251))
 (step t253 (cl @p_505 @p_506 @p_502 @p_503 @p_504) :rule th_resolution :premises (t247 t252))
-(step t254 (cl @p_503) :rule resolution :premises (t253 a10 a12 t196 t198))
+(step t254 (cl @p_503) :rule resolution :premises (t253 axiom10 axiom12 t196 t198))
 (step t255 (cl @p_507) :rule resolution :premises (t201 t254 t203))
 (step t256 (cl (! (= f$ f$) :named @p_523)) :rule eq_reflexive)
 (step t257 (cl (! (= g$ g$) :named @p_524)) :rule eq_reflexive)
@@ -5549,24 +5549,24 @@
 (step t299 (cl @p_535 @p_529 @p_536) :rule la_generic :args (1.0 2 1))
 (step t300 (cl @p_535 @p_517 @p_518 @p_532) :rule th_resolution :premises (t299 t284 t294))
 (step t301 (cl) :rule resolution :premises (t300 t289 t177 t298 t272))
-7d1d28af77b48e47cf45f7abbbccb64bffffc3f9 6 0
+5fc0f54f0190d5b6a4967f69daa36736ef3d3325 6 0
 unsat
-(assume a0 (! (< 0.0 (+ x$ (! (* 2.0 y$) :named @p_1))) :named @p_2))
-(assume a1 (! (< 0.0 (- x$ @p_1)) :named @p_3))
-(assume a2 (! (< x$ 0.0) :named @p_4))
+(assume axiom0 (! (< 0.0 (+ x$ (! (* 2.0 y$) :named @p_1))) :named @p_2))
+(assume axiom1 (! (< 0.0 (- x$ @p_1)) :named @p_3))
+(assume axiom2 (! (< x$ 0.0) :named @p_4))
 (step t4 (cl (not @p_2) (not @p_3) (not @p_4)) :rule la_generic :args (1.0 1.0 2.0))
-(step t5 (cl) :rule resolution :premises (t4 a0 a1 a2))
-f17b9d0590c7cefc8013c1518981dc710a40e813 735 0
+(step t5 (cl) :rule resolution :premises (t4 axiom0 axiom1 axiom2))
+809cc2252f6f1da6c3a4347a531733952ab0b99f 467 0
 unsat
-(assume a0 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uuc$ ?v0) :named @p_9) (! (pair$ (! (times$ (! (- ?v0 (! (divide$ 1.0 2.0) :named @p_7)) :named @p_12) d$) :named @p_1) (! (diamond_y$ @p_1) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_6))
-(assume a3 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uub$ ?v0) :named @p_37) (! (pair$ (! (- (! (divide$ d$ 2.0) :named @p_3)) :named @p_2) (! (times$ (! (- (! (* 2.0 ?v0) :named @p_40) 1.0) :named @p_42) (! (diamond_y$ @p_2) :named @p_36)) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
-(assume a4 (! (< 0.0 d$) :named @p_269))
-(assume a5 (! (forall ((?v0 Real)) (! (= (! (diamond_y$ ?v0) :named @p_62) (! (- @p_3 (! (ite (! (< ?v0 0.0) :named @p_65) (! (- ?v0) :named @p_4) ?v0) :named @p_68)) :named @p_70)) :named @p_72)) :named @p_61))
-(assume a7 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real)) (! (= (! (< (! (divide$ ?v0 ?v1) :named @p_5) (! (divide$ ?v2 ?v1) :named @p_88)) :named @p_90) (! (and (! (=> (! (< 0.0 ?v1) :named @p_92) (! (< ?v0 ?v2) :named @p_96)) :named @p_98) (! (and (! (=> (! (< ?v1 0.0) :named @p_100) (! (< ?v2 ?v0) :named @p_102)) :named @p_104) (! (not (! (= 0.0 ?v1) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_112)) :named @p_114)) :named @p_85))
-(assume a8 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (divide$ @p_4 ?v1) :named @p_142) (! (- @p_5) :named @p_147)) :named @p_149)) :named @p_140))
-(assume a9 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (times$ @p_4 ?v1) :named @p_164) (! (- (! (times$ ?v0 ?v1) :named @p_168)) :named @p_170)) :named @p_172)) :named @p_162))
-(assume a10 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real) (?v3 Real)) (! (= (! (= (! (pair$ ?v0 ?v1) :named @p_186) (! (pair$ ?v2 ?v3) :named @p_188)) :named @p_190) (! (and (! (= ?v0 ?v2) :named @p_194) (! (= ?v1 ?v3) :named @p_198)) :named @p_200)) :named @p_202)) :named @p_185))
-(assume a11 (! (not (! (=> (! (and (! (not (= uua$ uu$)) :named @p_226) (! (= uuc$ uub$) :named @p_227)) :named @p_220) false) :named @p_224)) :named @p_219))
+(assume axiom0 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uuc$ ?v0) :named @p_9) (! (pair$ (! (times$ (! (- ?v0 (! (divide$ 1.0 2.0) :named @p_7)) :named @p_12) d$) :named @p_1) (! (diamond_y$ @p_1) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_6))
+(assume axiom3 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uub$ ?v0) :named @p_37) (! (pair$ (! (- (! (divide$ d$ 2.0) :named @p_3)) :named @p_2) (! (times$ (! (- (! (* 2.0 ?v0) :named @p_40) 1.0) :named @p_42) (! (diamond_y$ @p_2) :named @p_36)) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
+(assume axiom4 (! (< 0.0 d$) :named @p_257))
+(assume axiom5 (! (forall ((?v0 Real)) (! (= (! (diamond_y$ ?v0) :named @p_62) (! (- @p_3 (! (ite (! (< ?v0 0.0) :named @p_65) (! (- ?v0) :named @p_4) ?v0) :named @p_68)) :named @p_70)) :named @p_72)) :named @p_61))
+(assume axiom7 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real)) (! (= (! (< (! (divide$ ?v0 ?v1) :named @p_5) (! (divide$ ?v2 ?v1) :named @p_88)) :named @p_90) (! (and (! (=> (! (< 0.0 ?v1) :named @p_92) (! (< ?v0 ?v2) :named @p_96)) :named @p_98) (! (and (! (=> (! (< ?v1 0.0) :named @p_100) (! (< ?v2 ?v0) :named @p_102)) :named @p_104) (! (not (! (= 0.0 ?v1) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_112)) :named @p_114)) :named @p_85))
+(assume axiom8 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (divide$ @p_4 ?v1) :named @p_142) (! (- @p_5) :named @p_147)) :named @p_149)) :named @p_140))
+(assume axiom9 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (times$ @p_4 ?v1) :named @p_164) (! (- (! (times$ ?v0 ?v1) :named @p_168)) :named @p_170)) :named @p_172)) :named @p_162))
+(assume axiom10 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real) (?v3 Real)) (! (= (! (= (! (pair$ ?v0 ?v1) :named @p_186) (! (pair$ ?v2 ?v3) :named @p_188)) :named @p_190) (! (and (! (= ?v0 ?v2) :named @p_194) (! (= ?v1 ?v3) :named @p_198)) :named @p_200)) :named @p_202)) :named @p_185))
+(assume axiom11 (! (not (! (=> (! (and (! (not (= uua$ uu$)) :named @p_226) (! (= uuc$ uub$) :named @p_227)) :named @p_220) false) :named @p_224)) :named @p_219))
 (anchor :step t10 :args ((:= (?v0 Real) veriT_vr0)))
 (step t10.t1 (cl (! (= ?v0 veriT_vr0) :named @p_11)) :rule refl)
 (step t10.t2 (cl (= @p_9 (! (fun_app$ uuc$ veriT_vr0) :named @p_10))) :rule cong :premises (t10.t1))
@@ -5581,7 +5581,7 @@
 (step t10.t11 (cl (= @p_20 (! (= @p_10 @p_19) :named @p_21))) :rule cong :premises (t10.t2 t10.t10))
 (step t10 (cl (! (= @p_6 (! (forall ((veriT_vr0 Real)) @p_21) :named @p_23)) :named @p_22)) :rule bind)
 (step t11 (cl (not @p_22) (not @p_6) @p_23) :rule equiv_pos2)
-(step t12 (cl @p_23) :rule th_resolution :premises (a0 t10 t11))
+(step t12 (cl @p_23) :rule th_resolution :premises (axiom0 t10 t11))
 (anchor :step t13 :args ((:= (veriT_vr0 Real) veriT_vr1)))
 (step t13.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_26)) :rule refl)
 (step t13.t2 (cl (= @p_10 (! (fun_app$ uuc$ veriT_vr1) :named @p_25))) :rule cong :premises (t13.t1))
@@ -5608,7 +5608,7 @@
 (step t16.t8 (cl (= @p_48 (! (= @p_38 @p_47) :named @p_49))) :rule cong :premises (t16.t2 t16.t7))
 (step t16 (cl (! (= @p_35 (! (forall ((veriT_vr6 Real)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
 (step t17 (cl (not @p_50) (not @p_35) @p_51) :rule equiv_pos2)
-(step t18 (cl @p_51) :rule th_resolution :premises (a3 t16 t17))
+(step t18 (cl @p_51) :rule th_resolution :premises (axiom3 t16 t17))
 (anchor :step t19 :args ((:= (veriT_vr6 Real) veriT_vr7)))
 (step t19.t1 (cl (! (= veriT_vr6 veriT_vr7) :named @p_53)) :rule refl)
 (step t19.t2 (cl (= @p_38 (! (fun_app$ uub$ veriT_vr7) :named @p_52))) :rule cong :premises (t19.t1))
@@ -5634,7 +5634,7 @@
 (step t22.t10 (cl (= @p_72 (! (= @p_63 @p_71) :named @p_73))) :rule cong :premises (t22.t2 t22.t9))
 (step t22 (cl (! (= @p_61 (! (forall ((veriT_vr8 Real)) @p_73) :named @p_75)) :named @p_74)) :rule bind)
 (step t23 (cl (not @p_74) (not @p_61) @p_75) :rule equiv_pos2)
-(step t24 (cl @p_75) :rule th_resolution :premises (a5 t22 t23))
+(step t24 (cl @p_75) :rule th_resolution :premises (axiom5 t22 t23))
 (anchor :step t25 :args ((:= (veriT_vr8 Real) veriT_vr9)))
 (step t25.t1 (cl (! (= veriT_vr8 veriT_vr9) :named @p_77)) :rule refl)
 (step t25.t2 (cl (= @p_63 (! (diamond_y$ veriT_vr9) :named @p_76))) :rule cong :premises (t25.t1))
@@ -5677,7 +5677,7 @@
 (step t28.t25 (cl (= @p_114 (! (= @p_91 @p_113) :named @p_115))) :rule cong :premises (t28.t7 t28.t24))
 (step t28 (cl (! (= @p_85 (! (forall ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)) @p_115) :named @p_117)) :named @p_116)) :rule bind)
 (step t29 (cl (not @p_116) (not @p_85) @p_117) :rule equiv_pos2)
-(step t30 (cl @p_117) :rule th_resolution :premises (a7 t28 t29))
+(step t30 (cl @p_117) :rule th_resolution :premises (axiom7 t28 t29))
 (anchor :step t31 :args ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)))
 (step t31.t1 (cl (= @p_113 (! (and @p_99 @p_105 @p_109) :named @p_118))) :rule ac_simp)
 (step t31.t2 (cl (= @p_115 (! (= @p_91 @p_118) :named @p_119))) :rule cong :premises (t31.t1))
@@ -5724,7 +5724,7 @@
 (step t37.t9 (cl (= @p_149 (! (= @p_143 @p_148) :named @p_150))) :rule cong :premises (t37.t4 t37.t8))
 (step t37 (cl (! (= @p_140 (! (forall ((veriT_vr16 Real) (veriT_vr17 Real)) @p_150) :named @p_152)) :named @p_151)) :rule bind)
 (step t38 (cl (not @p_151) (not @p_140) @p_152) :rule equiv_pos2)
-(step t39 (cl @p_152) :rule th_resolution :premises (a8 t37 t38))
+(step t39 (cl @p_152) :rule th_resolution :premises (axiom8 t37 t38))
 (anchor :step t40 :args ((:= (veriT_vr16 Real) veriT_vr18) (:= (veriT_vr17 Real) veriT_vr19)))
 (step t40.t1 (cl (! (= veriT_vr16 veriT_vr18) :named @p_155)) :rule refl)
 (step t40.t2 (cl (= @p_141 (! (- veriT_vr18) :named @p_153))) :rule cong :premises (t40.t1))
@@ -5750,7 +5750,7 @@
 (step t43.t9 (cl (= @p_172 (! (= @p_165 @p_171) :named @p_173))) :rule cong :premises (t43.t4 t43.t8))
 (step t43 (cl (! (= @p_162 (! (forall ((veriT_vr20 Real) (veriT_vr21 Real)) @p_173) :named @p_175)) :named @p_174)) :rule bind)
 (step t44 (cl (not @p_174) (not @p_162) @p_175) :rule equiv_pos2)
-(step t45 (cl @p_175) :rule th_resolution :premises (a9 t43 t44))
+(step t45 (cl @p_175) :rule th_resolution :premises (axiom9 t43 t44))
 (anchor :step t46 :args ((:= (veriT_vr20 Real) veriT_vr22) (:= (veriT_vr21 Real) veriT_vr23)))
 (step t46.t1 (cl (! (= veriT_vr20 veriT_vr22) :named @p_178)) :rule refl)
 (step t46.t2 (cl (= @p_163 (! (- veriT_vr22) :named @p_176))) :rule cong :premises (t46.t1))
@@ -5782,7 +5782,7 @@
 (step t49.t15 (cl (= @p_202 (! (= @p_191 @p_201) :named @p_203))) :rule cong :premises (t49.t7 t49.t14))
 (step t49 (cl (! (= @p_185 (! (forall ((veriT_vr24 Real) (veriT_vr25 Real) (veriT_vr26 Real) (veriT_vr27 Real)) @p_203) :named @p_205)) :named @p_204)) :rule bind)
 (step t50 (cl (not @p_204) (not @p_185) @p_205) :rule equiv_pos2)
-(step t51 (cl @p_205) :rule th_resolution :premises (a10 t49 t50))
+(step t51 (cl @p_205) :rule th_resolution :premises (axiom10 t49 t50))
 (anchor :step t52 :args ((:= (veriT_vr24 Real) veriT_vr28) (:= (veriT_vr25 Real) veriT_vr29) (:= (veriT_vr26 Real) veriT_vr30) (:= (veriT_vr27 Real) veriT_vr31)))
 (step t52.t1 (cl (! (= veriT_vr24 veriT_vr28) :named @p_209)) :rule refl)
 (step t52.t2 (cl (! (= veriT_vr25 veriT_vr29) :named @p_212)) :rule refl)
@@ -5806,984 +5806,231 @@
 (step t56 (cl (! (not @p_221) :named @p_225) (! (not @p_219) :named @p_223) @p_222) :rule equiv_pos2)
 (step t57 (cl (not @p_223) @p_224) :rule not_not)
 (step t58 (cl @p_225 @p_224 @p_222) :rule th_resolution :premises (t57 t56))
-(step t59 (cl @p_222) :rule th_resolution :premises (a11 t55 t58))
+(step t59 (cl @p_222) :rule th_resolution :premises (axiom11 t55 t58))
 (step t60 (cl (! (= @p_222 (! (and @p_226 @p_227 @p_228) :named @p_230)) :named @p_229)) :rule ac_simp)
 (step t61 (cl (not @p_229) (not @p_222) @p_230) :rule equiv_pos2)
 (step t62 (cl @p_230) :rule th_resolution :premises (t59 t60 t61))
-(step t63 (cl (! (= @p_228 true) :named @p_281)) :rule not_simplify)
+(step t63 (cl (! (= @p_228 true) :named @p_269)) :rule not_simplify)
 (step t64 (cl (= @p_230 (! (and @p_226 @p_227 true) :named @p_231))) :rule cong :premises (t63))
 (step t65 (cl (= @p_231 @p_220)) :rule and_simplify)
 (step t66 (cl (! (= @p_230 @p_220) :named @p_232)) :rule trans :premises (t64 t65))
 (step t67 (cl (not @p_232) (not @p_230) @p_220) :rule equiv_pos2)
 (step t68 (cl @p_220) :rule th_resolution :premises (t62 t66 t67))
 (step t69 (cl @p_227) :rule and :premises (t68))
-(step t70 (cl (or (! (not @p_218) :named @p_233) (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) (or (! (not @p_208) :named @p_234) @p_211)) :named @p_499))) :rule qnt_cnf)
-(step t71 (cl (or @p_233 (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) (or @p_234 @p_214)) :named @p_488))) :rule qnt_cnf)
-(step t72 (cl (not (! (not @p_233) :named @p_493)) @p_218) :rule not_not)
-(step t73 (cl (or (! (not @p_184) :named @p_236) (! (= (! (times$ (! (- @p_36) :named @p_237) (! (diamond_y$ @p_3) :named @p_235)) :named @p_446) (! (- (! (times$ @p_36 @p_235) :named @p_445)) :named @p_426)) :named @p_389))) :rule forall_inst :args ((:= veriT_vr22 @p_36) (:= veriT_vr23 @p_235)))
-(step t74 (cl (or @p_236 (! (= (! (times$ @p_237 d$) :named @p_477) (! (- (times$ @p_36 d$)) :named @p_471)) :named @p_390))) :rule forall_inst :args ((:= veriT_vr22 @p_36) (:= veriT_vr23 d$)))
-(step t75 (cl (not (! (not @p_236) :named @p_246)) @p_184) :rule not_not)
-(step t76 (cl (or @p_236 (! (= (! (times$ (! (- 0.0) :named @p_241) d$) :named @p_242) (! (- (! (times$ 0.0 d$) :named @p_239)) :named @p_240)) :named @p_238))) :rule forall_inst :args ((:= veriT_vr22 0.0) (:= veriT_vr23 d$)))
-(anchor :step t77)
-(assume t77.h1 @p_238)
-(step t77.t2 (cl (! (= 0.0 @p_241) :named @p_261)) :rule minus_simplify)
-(step t77.t3 (cl (= @p_242 @p_239)) :rule cong :premises (t77.t2))
-(step t77.t4 (cl (! (= @p_238 (! (= @p_239 @p_240) :named @p_243)) :named @p_244)) :rule cong :premises (t77.t3))
-(step t77.t5 (cl (not @p_244) (! (not @p_238) :named @p_245) @p_243) :rule equiv_pos2)
-(step t77.t6 (cl @p_243) :rule th_resolution :premises (t77.h1 t77.t4 t77.t5))
-(step t77 (cl @p_245 @p_243) :rule subproof :discharge (h1))
-(step t78 (cl @p_236 @p_238) :rule or :premises (t76))
-(step t79 (cl (! (or @p_236 @p_243) :named @p_247) @p_246) :rule or_neg)
-(step t80 (cl @p_247 @p_184) :rule th_resolution :premises (t75 t79))
-(step t81 (cl @p_247 (! (not @p_243) :named @p_476)) :rule or_neg)
-(step t82 (cl @p_247) :rule th_resolution :premises (t78 t77 t80 t81))
-(step t83 (cl (or @p_236 (! (= (! (times$ (! (- 1.0) :named @p_250) @p_36) :named @p_251) (! (- (! (times$ 1.0 @p_36) :named @p_348)) :named @p_249)) :named @p_248))) :rule forall_inst :args ((:= veriT_vr22 1.0) (:= veriT_vr23 @p_36)))
-(anchor :step t84)
-(assume t84.h1 @p_248)
-(step t84.t2 (cl (= @p_250 (- 1.0))) :rule minus_simplify)
-(step t84.t3 (cl (= @p_251 (! (times$ (- 1.0) @p_36) :named @p_252))) :rule cong :premises (t84.t2))
-(step t84.t4 (cl (! (= @p_248 (! (= @p_249 @p_252) :named @p_253)) :named @p_254)) :rule cong :premises (t84.t3))
-(step t84.t5 (cl (not @p_254) (! (not @p_248) :named @p_255) @p_253) :rule equiv_pos2)
-(step t84.t6 (cl @p_253) :rule th_resolution :premises (t84.h1 t84.t4 t84.t5))
-(step t84 (cl @p_255 @p_253) :rule subproof :discharge (h1))
-(step t85 (cl @p_236 @p_248) :rule or :premises (t83))
-(step t86 (cl (! (or @p_236 @p_253) :named @p_256) @p_246) :rule or_neg)
-(step t87 (cl @p_256 @p_184) :rule th_resolution :premises (t75 t86))
-(step t88 (cl @p_256 (! (not @p_253) :named @p_554)) :rule or_neg)
-(step t89 (cl @p_256) :rule th_resolution :premises (t85 t84 t87 t88))
-(step t90 (cl (not (! (not (! (not @p_161) :named @p_257)) :named @p_266)) @p_161) :rule not_not)
-(step t91 (cl (or @p_257 (! (= (! (divide$ @p_241 2.0) :named @p_262) (! (- (! (divide$ 0.0 2.0) :named @p_259)) :named @p_260)) :named @p_258))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 2.0)))
-(anchor :step t92)
-(assume t92.h1 @p_258)
-(step t92.t2 (cl @p_261) :rule minus_simplify)
-(step t92.t3 (cl (= @p_262 @p_259)) :rule cong :premises (t92.t2))
-(step t92.t4 (cl (! (= @p_258 (! (= @p_259 @p_260) :named @p_263)) :named @p_264)) :rule cong :premises (t92.t3))
-(step t92.t5 (cl (not @p_264) (! (not @p_258) :named @p_265) @p_263) :rule equiv_pos2)
-(step t92.t6 (cl @p_263) :rule th_resolution :premises (t92.h1 t92.t4 t92.t5))
-(step t92 (cl @p_265 @p_263) :rule subproof :discharge (h1))
-(step t93 (cl @p_257 @p_258) :rule or :premises (t91))
-(step t94 (cl (! (or @p_257 @p_263) :named @p_267) @p_266) :rule or_neg)
-(step t95 (cl @p_267 @p_161) :rule th_resolution :premises (t90 t94))
-(step t96 (cl @p_267 (! (not @p_263) :named @p_407)) :rule or_neg)
-(step t97 (cl @p_267) :rule th_resolution :premises (t93 t92 t95 t96))
-(step t98 (cl (not (! (not (! (not @p_139) :named @p_268)) :named @p_288)) @p_139) :rule not_not)
-(step t99 (cl (or @p_268 (! (= (! (< @p_259 @p_3) :named @p_271) (! (and (! (=> (! (< 0.0 2.0) :named @p_272) @p_269) :named @p_273) (! (=> (! (< 2.0 0.0) :named @p_275) (! (< d$ 0.0) :named @p_277)) :named @p_276) (! (not (! (= 2.0 0.0) :named @p_279)) :named @p_280)) :named @p_282)) :named @p_270))) :rule forall_inst :args ((:= veriT_vr13 0.0) (:= veriT_vr14 2.0) (:= veriT_vr15 d$)))
-(anchor :step t100)
-(assume t100.h1 @p_270)
-(step t100.t2 (cl (= @p_272 true)) :rule comp_simplify)
-(step t100.t3 (cl (= @p_273 (! (=> true @p_269) :named @p_274))) :rule cong :premises (t100.t2))
-(step t100.t4 (cl (= @p_274 @p_269)) :rule implies_simplify)
-(step t100.t5 (cl (= @p_273 @p_269)) :rule trans :premises (t100.t3 t100.t4))
-(step t100.t6 (cl (= @p_275 false)) :rule comp_simplify)
-(step t100.t7 (cl (= @p_276 (! (=> false @p_277) :named @p_278))) :rule cong :premises (t100.t6))
-(step t100.t8 (cl (= @p_278 true)) :rule implies_simplify)
-(step t100.t9 (cl (= @p_276 true)) :rule trans :premises (t100.t7 t100.t8))
-(step t100.t10 (cl (= @p_279 false)) :rule eq_simplify)
-(step t100.t11 (cl (= @p_280 @p_228)) :rule cong :premises (t100.t10))
-(step t100.t12 (cl @p_281) :rule not_simplify)
-(step t100.t13 (cl (= @p_280 true)) :rule trans :premises (t100.t11 t100.t12))
-(step t100.t14 (cl (= @p_282 (! (and @p_269 true true) :named @p_283))) :rule cong :premises (t100.t5 t100.t9 t100.t13))
-(step t100.t15 (cl (= @p_283 (! (and @p_269) :named @p_284))) :rule and_simplify)
-(step t100.t16 (cl (= @p_284 @p_269)) :rule and_simplify)
-(step t100.t17 (cl (= @p_282 @p_269)) :rule trans :premises (t100.t14 t100.t15 t100.t16))
-(step t100.t18 (cl (! (= @p_270 (! (= @p_271 @p_269) :named @p_285)) :named @p_286)) :rule cong :premises (t100.t17))
-(step t100.t19 (cl (not @p_286) (! (not @p_270) :named @p_287) @p_285) :rule equiv_pos2)
-(step t100.t20 (cl @p_285) :rule th_resolution :premises (t100.h1 t100.t18 t100.t19))
-(step t100 (cl @p_287 @p_285) :rule subproof :discharge (h1))
-(step t101 (cl @p_268 @p_270) :rule or :premises (t99))
-(step t102 (cl (! (or @p_268 @p_285) :named @p_289) @p_288) :rule or_neg)
-(step t103 (cl @p_289 @p_139) :rule th_resolution :premises (t98 t102))
-(step t104 (cl @p_289 (! (not @p_285) :named @p_391)) :rule or_neg)
-(step t105 (cl @p_289) :rule th_resolution :premises (t101 t100 t103 t104))
-(step t106 (cl (not (! (not (! (not @p_84) :named @p_290)) :named @p_303)) @p_84) :rule not_not)
-(step t107 (cl (or @p_290 (! (= @p_36 (! (- @p_3 (! (ite (! (< @p_2 0.0) :named @p_292) (! (- @p_2) :named @p_294) @p_2) :named @p_295)) :named @p_296)) :named @p_291))) :rule forall_inst :args ((:= veriT_vr9 @p_2)))
-(anchor :step t108)
-(assume t108.h1 @p_291)
-(step t108.t2 (cl (= @p_3 @p_294)) :rule minus_simplify)
-(step t108.t3 (cl (= @p_295 (! (ite @p_292 @p_3 @p_2) :named @p_293))) :rule cong :premises (t108.t2))
-(step t108.t4 (cl (= @p_296 (! (- @p_3 @p_293) :named @p_297))) :rule cong :premises (t108.t3))
-(step t108.t5 (cl (! (= @p_291 (! (= @p_36 @p_297) :named @p_300)) :named @p_298)) :rule cong :premises (t108.t4))
-(step t108.t6 (cl (not @p_298) (! (not @p_291) :named @p_299) @p_300) :rule equiv_pos2)
-(step t108.t7 (cl @p_300) :rule th_resolution :premises (t108.h1 t108.t5 t108.t6))
-(step t108.t8 (cl (! (= @p_300 (! (and (! (= @p_36 (! (- @p_3 @p_293) :named @p_417)) :named @p_393) (! (ite @p_292 (! (= @p_3 @p_293) :named @p_395) (! (= @p_2 @p_293) :named @p_413)) :named @p_394)) :named @p_301)) :named @p_302)) :rule ite_intro)
-(step t108.t9 (cl (not @p_302) (not @p_300) @p_301) :rule equiv_pos2)
-(step t108.t10 (cl @p_301) :rule th_resolution :premises (t108.t7 t108.t8 t108.t9))
-(step t108 (cl @p_299 @p_301) :rule subproof :discharge (h1))
-(step t109 (cl @p_290 @p_291) :rule or :premises (t107))
-(step t110 (cl (! (or @p_290 @p_301) :named @p_304) @p_303) :rule or_neg)
-(step t111 (cl @p_304 @p_84) :rule th_resolution :premises (t106 t110))
-(step t112 (cl @p_304 (! (not @p_301) :named @p_392)) :rule or_neg)
-(step t113 (cl @p_304) :rule th_resolution :premises (t109 t108 t111 t112))
-(step t114 (cl (or @p_290 (! (= (! (diamond_y$ @p_235) :named @p_306) (- @p_3 (! (ite (! (< @p_235 0.0) :named @p_308) (! (- @p_235) :named @p_309) @p_235) :named @p_307))) :named @p_305))) :rule forall_inst :args ((:= veriT_vr9 @p_235)))
-(anchor :step t115)
-(assume t115.h1 @p_305)
-(step t115.t2 (cl (! (= @p_305 (! (and (= @p_306 (- @p_3 @p_307)) (! (ite @p_308 (! (= @p_309 @p_307) :named @p_450) (! (= @p_235 @p_307) :named @p_397)) :named @p_396)) :named @p_310)) :named @p_311)) :rule ite_intro)
-(step t115.t3 (cl (not @p_311) (! (not @p_305) :named @p_312) @p_310) :rule equiv_pos2)
-(step t115.t4 (cl @p_310) :rule th_resolution :premises (t115.h1 t115.t2 t115.t3))
-(step t115 (cl @p_312 @p_310) :rule subproof :discharge (h1))
-(step t116 (cl @p_290 @p_305) :rule or :premises (t114))
-(step t117 (cl (! (or @p_290 @p_310) :named @p_313) @p_303) :rule or_neg)
-(step t118 (cl @p_313 @p_84) :rule th_resolution :premises (t106 t117))
-(step t119 (cl @p_313 (! (not @p_310) :named @p_398)) :rule or_neg)
-(step t120 (cl @p_313) :rule th_resolution :premises (t116 t115 t118 t119))
-(step t121 (cl (or @p_290 (! (= @p_235 (- @p_3 (! (ite (! (< @p_3 0.0) :named @p_316) @p_2 @p_3) :named @p_315))) :named @p_314))) :rule forall_inst :args ((:= veriT_vr9 @p_3)))
-(anchor :step t122)
-(assume t122.h1 @p_314)
-(step t122.t2 (cl (! (= @p_314 (! (and (! (= @p_235 (! (- @p_3 @p_315) :named @p_418)) :named @p_400) (! (ite @p_316 (= @p_2 @p_315) (! (= @p_3 @p_315) :named @p_402)) :named @p_401)) :named @p_317)) :named @p_318)) :rule ite_intro)
-(step t122.t3 (cl (not @p_318) (! (not @p_314) :named @p_319) @p_317) :rule equiv_pos2)
-(step t122.t4 (cl @p_317) :rule th_resolution :premises (t122.h1 t122.t2 t122.t3))
-(step t122 (cl @p_319 @p_317) :rule subproof :discharge (h1))
-(step t123 (cl @p_290 @p_314) :rule or :premises (t121))
-(step t124 (cl (! (or @p_290 @p_317) :named @p_320) @p_303) :rule or_neg)
-(step t125 (cl @p_320 @p_84) :rule th_resolution :premises (t106 t124))
-(step t126 (cl @p_320 (! (not @p_317) :named @p_399)) :rule or_neg)
-(step t127 (cl @p_320) :rule th_resolution :premises (t123 t122 t125 t126))
-(step t128 (cl (or @p_290 (! (= (! (diamond_y$ 0.0) :named @p_322) (! (- @p_3 (! (ite (! (< 0.0 0.0) :named @p_323) @p_241 0.0) :named @p_324)) :named @p_326)) :named @p_321))) :rule forall_inst :args ((:= veriT_vr9 0.0)))
-(anchor :step t129)
-(assume t129.h1 @p_321)
-(step t129.t2 (cl (= @p_323 false)) :rule comp_simplify)
-(step t129.t3 (cl @p_261) :rule minus_simplify)
-(step t129.t4 (cl (= @p_324 (! (ite false 0.0 0.0) :named @p_325))) :rule cong :premises (t129.t2 t129.t3))
-(step t129.t5 (cl (= 0.0 @p_325)) :rule ite_simplify)
-(step t129.t6 (cl (= 0.0 @p_324)) :rule trans :premises (t129.t4 t129.t5))
-(step t129.t7 (cl (= @p_326 (! (- @p_3 0.0) :named @p_327))) :rule cong :premises (t129.t6))
-(step t129.t8 (cl (= @p_3 @p_327)) :rule minus_simplify)
-(step t129.t9 (cl (= @p_3 @p_326)) :rule trans :premises (t129.t7 t129.t8))
-(step t129.t10 (cl (! (= @p_321 (! (= @p_3 @p_322) :named @p_328)) :named @p_329)) :rule cong :premises (t129.t9))
-(step t129.t11 (cl (not @p_329) (! (not @p_321) :named @p_330) @p_328) :rule equiv_pos2)
-(step t129.t12 (cl @p_328) :rule th_resolution :premises (t129.h1 t129.t10 t129.t11))
-(step t129 (cl @p_330 @p_328) :rule subproof :discharge (h1))
-(step t130 (cl @p_290 @p_321) :rule or :premises (t128))
-(step t131 (cl (! (or @p_290 @p_328) :named @p_331) @p_303) :rule or_neg)
-(step t132 (cl @p_331 @p_84) :rule th_resolution :premises (t106 t131))
-(step t133 (cl @p_331 (! (not @p_328) :named @p_574)) :rule or_neg)
-(step t134 (cl @p_331) :rule th_resolution :premises (t130 t129 t132 t133))
-(step t135 (cl (or (! (not @p_60) :named @p_332) (! (= (! (fun_app$ uub$ @p_36) :named @p_525) (! (pair$ @p_2 (! (times$ (- (* 2.0 @p_36) 1.0) @p_36) :named @p_509)) :named @p_508)) :named @p_403))) :rule forall_inst :args ((:= veriT_vr7 @p_36)))
-(step t136 (cl (or @p_332 (! (= (! (fun_app$ uub$ @p_7) :named @p_533) (! (pair$ @p_2 (! (times$ (- (* 2.0 @p_7) 1.0) @p_36) :named @p_505)) :named @p_504)) :named @p_404))) :rule forall_inst :args ((:= veriT_vr7 @p_7)))
-(step t137 (cl (not (! (not @p_332) :named @p_344)) @p_60) :rule not_not)
-(step t138 (cl (or @p_332 (! (= (! (fun_app$ uub$ 0.0) :named @p_334) (! (pair$ @p_2 (! (times$ (! (- (! (* 2.0 0.0) :named @p_335) 1.0) :named @p_336) @p_36) :named @p_338)) :named @p_339)) :named @p_333))) :rule forall_inst :args ((:= veriT_vr7 0.0)))
-(anchor :step t139)
-(assume t139.h1 @p_333)
-(step t139.t2 (cl (= 0.0 @p_335)) :rule prod_simplify)
-(step t139.t3 (cl (= @p_336 (! (- 0.0 1.0) :named @p_337))) :rule cong :premises (t139.t2))
-(step t139.t4 (cl (= (- 1.0) @p_337)) :rule minus_simplify)
-(step t139.t5 (cl (= (- 1.0) @p_336)) :rule trans :premises (t139.t3 t139.t4))
-(step t139.t6 (cl (= @p_252 @p_338)) :rule cong :premises (t139.t5))
-(step t139.t7 (cl (= @p_339 (! (pair$ @p_2 @p_252) :named @p_340))) :rule cong :premises (t139.t6))
-(step t139.t8 (cl (! (= @p_333 (! (= @p_334 @p_340) :named @p_341)) :named @p_342)) :rule cong :premises (t139.t7))
-(step t139.t9 (cl (not @p_342) (! (not @p_333) :named @p_343) @p_341) :rule equiv_pos2)
-(step t139.t10 (cl @p_341) :rule th_resolution :premises (t139.h1 t139.t8 t139.t9))
-(step t139 (cl @p_343 @p_341) :rule subproof :discharge (h1))
-(step t140 (cl @p_332 @p_333) :rule or :premises (t138))
-(step t141 (cl (! (or @p_332 @p_341) :named @p_345) @p_344) :rule or_neg)
-(step t142 (cl @p_345 @p_60) :rule th_resolution :premises (t137 t141))
-(step t143 (cl @p_345 (! (not @p_341) :named @p_544)) :rule or_neg)
-(step t144 (cl @p_345) :rule th_resolution :premises (t140 t139 t142 t143))
-(step t145 (cl (or @p_332 (! (= (! (fun_app$ uub$ 1.0) :named @p_347) (! (pair$ @p_2 (! (times$ (! (- (! (* 2.0 1.0) :named @p_349) 1.0) :named @p_350) @p_36) :named @p_352)) :named @p_353)) :named @p_346))) :rule forall_inst :args ((:= veriT_vr7 1.0)))
-(anchor :step t146)
-(assume t146.h1 @p_346)
-(step t146.t2 (cl (= 2.0 @p_349)) :rule prod_simplify)
-(step t146.t3 (cl (= @p_350 (! (- 2.0 1.0) :named @p_351))) :rule cong :premises (t146.t2))
-(step t146.t4 (cl (= 1.0 @p_351)) :rule minus_simplify)
-(step t146.t5 (cl (= 1.0 @p_350)) :rule trans :premises (t146.t3 t146.t4))
-(step t146.t6 (cl (= @p_348 @p_352)) :rule cong :premises (t146.t5))
-(step t146.t7 (cl (= @p_353 (! (pair$ @p_2 @p_348) :named @p_354))) :rule cong :premises (t146.t6))
-(step t146.t8 (cl (! (= @p_346 (! (= @p_347 @p_354) :named @p_355)) :named @p_356)) :rule cong :premises (t146.t7))
-(step t146.t9 (cl (not @p_356) (! (not @p_346) :named @p_357) @p_355) :rule equiv_pos2)
-(step t146.t10 (cl @p_355) :rule th_resolution :premises (t146.h1 t146.t8 t146.t9))
-(step t146 (cl @p_357 @p_355) :rule subproof :discharge (h1))
-(step t147 (cl @p_332 @p_346) :rule or :premises (t145))
-(step t148 (cl (! (or @p_332 @p_355) :named @p_358) @p_344) :rule or_neg)
-(step t149 (cl @p_358 @p_60) :rule th_resolution :premises (t137 t148))
-(step t150 (cl @p_358 (! (not @p_355) :named @p_538)) :rule or_neg)
-(step t151 (cl @p_358) :rule th_resolution :premises (t147 t146 t149 t150))
-(step t152 (cl (or (! (not @p_34) :named @p_360) (! (= (! (fun_app$ uuc$ @p_36) :named @p_526) (! (pair$ (! (times$ (! (- @p_36 @p_7) :named @p_424) d$) :named @p_359) (! (diamond_y$ @p_359) :named @p_496)) :named @p_495)) :named @p_405))) :rule forall_inst :args ((:= veriT_vr1 @p_36)))
-(step t153 (cl (or @p_360 (! (= (! (fun_app$ uuc$ @p_7) :named @p_363) (! (pair$ (! (times$ (! (- @p_7 @p_7) :named @p_364) d$) :named @p_361) (! (diamond_y$ @p_361) :named @p_365)) :named @p_367)) :named @p_362))) :rule forall_inst :args ((:= veriT_vr1 @p_7)))
-(anchor :step t154)
-(assume t154.h1 @p_362)
-(step t154.t2 (cl (= 0.0 @p_364)) :rule minus_simplify)
-(step t154.t3 (cl (= @p_239 @p_361)) :rule cong :premises (t154.t2))
-(step t154.t4 (cl (= @p_365 (! (diamond_y$ @p_239) :named @p_366))) :rule cong :premises (t154.t3))
-(step t154.t5 (cl (= @p_367 (! (pair$ @p_239 @p_366) :named @p_368))) :rule cong :premises (t154.t3 t154.t4))
-(step t154.t6 (cl (! (= @p_362 (! (= @p_363 @p_368) :named @p_369)) :named @p_370)) :rule cong :premises (t154.t5))
-(step t154.t7 (cl (not @p_370) (! (not @p_362) :named @p_371) @p_369) :rule equiv_pos2)
-(step t154.t8 (cl @p_369) :rule th_resolution :premises (t154.h1 t154.t6 t154.t7))
-(step t154 (cl @p_371 @p_369) :rule subproof :discharge (h1))
-(step t155 (cl @p_360 @p_362) :rule or :premises (t153))
-(step t156 (cl (! (or @p_360 @p_369) :named @p_373) (! (not @p_360) :named @p_372)) :rule or_neg)
-(step t157 (cl (not @p_372) @p_34) :rule not_not)
-(step t158 (cl @p_373 @p_34) :rule th_resolution :premises (t157 t156))
-(step t159 (cl @p_373 (! (not @p_369) :named @p_534)) :rule or_neg)
-(step t160 (cl @p_373) :rule th_resolution :premises (t155 t154 t158 t159))
-(step t161 (cl (or @p_360 (! (= (! (fun_app$ uuc$ 0.0) :named @p_376) (! (pair$ (! (times$ (! (- 0.0 @p_7) :named @p_379) d$) :named @p_374) (! (diamond_y$ @p_374) :named @p_380)) :named @p_382)) :named @p_375))) :rule forall_inst :args ((:= veriT_vr1 0.0)))
-(anchor :step t162)
-(assume t162.h1 @p_375)
-(step t162.t2 (cl (= (! (- @p_7) :named @p_378) @p_379)) :rule minus_simplify)
-(step t162.t3 (cl (= (! (times$ @p_378 d$) :named @p_377) @p_374)) :rule cong :premises (t162.t2))
-(step t162.t4 (cl (= @p_380 (! (diamond_y$ @p_377) :named @p_381))) :rule cong :premises (t162.t3))
-(step t162.t5 (cl (= @p_382 (! (pair$ @p_377 @p_381) :named @p_383))) :rule cong :premises (t162.t3 t162.t4))
-(step t162.t6 (cl (! (= @p_375 (! (= @p_376 @p_383) :named @p_384)) :named @p_385)) :rule cong :premises (t162.t5))
-(step t162.t7 (cl (not @p_385) (! (not @p_375) :named @p_386) @p_384) :rule equiv_pos2)
-(step t162.t8 (cl @p_384) :rule th_resolution :premises (t162.h1 t162.t6 t162.t7))
-(step t162 (cl @p_386 @p_384) :rule subproof :discharge (h1))
-(step t163 (cl @p_360 @p_375) :rule or :premises (t161))
-(step t164 (cl (! (or @p_360 @p_384) :named @p_387) @p_372) :rule or_neg)
-(step t165 (cl @p_387 @p_34) :rule th_resolution :premises (t157 t164))
-(step t166 (cl @p_387 (! (not @p_384) :named @p_545)) :rule or_neg)
-(step t167 (cl @p_387) :rule th_resolution :premises (t163 t162 t165 t166))
-(step t168 (cl (or @p_360 (! (= (! (fun_app$ uuc$ 1.0) :named @p_539) (! (pair$ (! (times$ (- 1.0 @p_7) d$) :named @p_388) (! (diamond_y$ @p_388) :named @p_490)) :named @p_489)) :named @p_406))) :rule forall_inst :args ((:= veriT_vr1 1.0)))
-(step t169 (cl @p_236 @p_389) :rule or :premises (t73))
-(step t170 (cl @p_389) :rule resolution :premises (t169 t48))
-(step t171 (cl @p_236 @p_390) :rule or :premises (t74))
-(step t172 (cl @p_390) :rule resolution :premises (t171 t48))
-(step t173 (cl @p_236 @p_243) :rule or :premises (t82))
-(step t174 (cl @p_243) :rule resolution :premises (t173 t48))
-(step t175 (cl @p_236 @p_253) :rule or :premises (t89))
-(step t176 (cl @p_253) :rule resolution :premises (t175 t48))
-(step t177 (cl @p_257 @p_263) :rule or :premises (t97))
-(step t178 (cl @p_263) :rule resolution :premises (t177 t42))
-(step t179 (cl @p_391 @p_271 (not @p_269)) :rule equiv_pos1)
-(step t180 (cl @p_268 @p_285) :rule or :premises (t105))
-(step t181 (cl @p_391 @p_271) :rule resolution :premises (t179 a4))
-(step t182 (cl @p_285) :rule resolution :premises (t180 t36))
-(step t183 (cl @p_271) :rule resolution :premises (t181 t182))
-(step t184 (cl @p_392 @p_393) :rule and_pos)
-(step t185 (cl (not @p_394) (! (not @p_292) :named @p_410) @p_395) :rule ite_pos2)
-(step t186 (cl @p_392 @p_394) :rule and_pos)
-(step t187 (cl @p_290 @p_301) :rule or :premises (t113))
-(step t188 (cl @p_301) :rule resolution :premises (t187 t27))
-(step t189 (cl @p_393) :rule resolution :premises (t184 t188))
-(step t190 (cl @p_394) :rule resolution :premises (t186 t188))
-(step t191 (cl (not @p_396) @p_308 @p_397) :rule ite_pos1)
-(step t192 (cl @p_398 @p_396) :rule and_pos)
-(step t193 (cl @p_290 @p_310) :rule or :premises (t120))
-(step t194 (cl @p_310) :rule resolution :premises (t193 t27))
-(step t195 (cl @p_396) :rule resolution :premises (t192 t194))
-(step t196 (cl @p_399 @p_400) :rule and_pos)
-(step t197 (cl (not @p_401) @p_316 @p_402) :rule ite_pos1)
-(step t198 (cl @p_399 @p_401) :rule and_pos)
-(step t199 (cl @p_290 @p_317) :rule or :premises (t127))
-(step t200 (cl @p_317) :rule resolution :premises (t199 t27))
-(step t201 (cl @p_400) :rule resolution :premises (t196 t200))
-(step t202 (cl @p_401) :rule resolution :premises (t198 t200))
-(step t203 (cl @p_290 @p_328) :rule or :premises (t134))
-(step t204 (cl @p_328) :rule resolution :premises (t203 t27))
-(step t205 (cl @p_332 @p_403) :rule or :premises (t135))
-(step t206 (cl @p_403) :rule resolution :premises (t205 t21))
-(step t207 (cl @p_332 @p_404) :rule or :premises (t136))
-(step t208 (cl @p_404) :rule resolution :premises (t207 t21))
-(step t209 (cl @p_332 @p_341) :rule or :premises (t144))
-(step t210 (cl @p_341) :rule resolution :premises (t209 t21))
-(step t211 (cl @p_332 @p_355) :rule or :premises (t151))
-(step t212 (cl @p_355) :rule resolution :premises (t211 t21))
-(step t213 (cl @p_360 @p_405) :rule or :premises (t152))
-(step t214 (cl @p_405) :rule resolution :premises (t213 t15))
-(step t215 (cl @p_360 @p_369) :rule or :premises (t160))
-(step t216 (cl @p_369) :rule resolution :premises (t215 t15))
-(step t217 (cl @p_360 @p_384) :rule or :premises (t167))
-(step t218 (cl @p_384) :rule resolution :premises (t217 t15))
-(step t219 (cl @p_360 @p_406) :rule or :premises (t168))
-(step t220 (cl @p_406) :rule resolution :premises (t219 t15))
-(step t221 (cl (! (not @p_271) :named @p_409) (! (not @p_316) :named @p_408) @p_407) :rule la_generic :args (2.0 2.0 1))
-(step t222 (cl @p_408) :rule resolution :premises (t221 t178 t183))
-(step t223 (cl @p_402) :rule resolution :premises (t197 t222 t202))
-(step t224 (cl @p_409 @p_292 @p_407) :rule la_generic :args (2.0 2.0 1))
-(step t225 (cl @p_292) :rule resolution :premises (t224 t178 t183))
-(step t226 (cl @p_395) :rule resolution :premises (t185 t225 t190))
-(step t227 (cl (! (not (! (= @p_3 @p_2) :named @p_414)) :named @p_412) (! (not (! (= 0.0 0.0) :named @p_411)) :named @p_461) @p_410 @p_316) :rule eq_congruent_pred)
-(step t228 (cl @p_411) :rule eq_reflexive)
-(step t229 (cl @p_412 @p_410 @p_316) :rule th_resolution :premises (t227 t228))
-(step t230 (cl (! (not @p_395) :named @p_415) (! (not @p_413) :named @p_416) @p_414) :rule eq_transitive)
-(step t231 (cl @p_410 @p_316 @p_415 @p_416) :rule th_resolution :premises (t229 t230))
-(step t232 (cl @p_416) :rule resolution :premises (t231 t225 t226 t222))
-(step t233 (cl (! (not (! (= @p_3 @p_3) :named @p_423)) :named @p_420) (not (! (= @p_293 @p_315) :named @p_419)) (! (= @p_417 @p_418) :named @p_421)) :rule eq_congruent)
-(step t234 (cl @p_415 (! (not @p_402) :named @p_422) @p_419) :rule eq_transitive)
-(step t235 (cl @p_420 @p_421 @p_415 @p_422) :rule th_resolution :premises (t233 t234))
-(step t236 (cl @p_423) :rule eq_reflexive)
-(step t237 (cl @p_421 @p_415 @p_422) :rule th_resolution :premises (t235 t236))
-(step t238 (cl (not (! (= @p_378 @p_424) :named @p_437)) (! (not (! (= d$ d$) :named @p_425)) :named @p_479) (! (= @p_377 @p_359) :named @p_547)) :rule eq_congruent)
-(step t239 (cl @p_425) :rule eq_reflexive)
-(step t240 (cl (or (! (= @p_36 @p_426) :named @p_427) (! (not (! (<= @p_36 @p_426) :named @p_464)) :named @p_428) (! (not (! (<= @p_426 @p_36) :named @p_444)) :named @p_429))) :rule la_disequality)
-(step t241 (cl @p_427 @p_428 @p_429) :rule or :premises (t240))
-(step t242 (cl (or (! (= @p_378 (! (- @p_235 @p_7) :named @p_430)) :named @p_431) (! (not (! (<= @p_378 @p_430) :named @p_435)) :named @p_432) (! (not (! (<= @p_430 @p_378) :named @p_434)) :named @p_433))) :rule la_disequality)
-(step t243 (cl @p_431 @p_432 @p_433) :rule or :premises (t242))
-(step t244 (cl @p_434 (! (not @p_400) :named @p_436) @p_422) :rule la_generic :args (1.0 (- 1) (- 1)))
-(step t245 (cl @p_434) :rule resolution :premises (t244 t201 t223))
-(step t246 (cl @p_435 @p_436 @p_422) :rule la_generic :args (1.0 1 1))
-(step t247 (cl @p_435) :rule resolution :premises (t246 t201 t223))
-(step t248 (cl @p_431) :rule resolution :premises (t243 t247 t245))
-(step t249 (cl (! (not @p_431) :named @p_443) (not (! (= @p_424 @p_430) :named @p_438)) @p_437) :rule eq_transitive)
-(step t250 (cl (! (not (! (= @p_235 @p_36) :named @p_439)) :named @p_455) (! (not (! (= @p_7 @p_7) :named @p_442)) :named @p_441) @p_438) :rule eq_congruent)
-(step t251 (cl @p_436 (! (not @p_421) :named @p_449) (! (not @p_393) :named @p_440) @p_439) :rule eq_transitive)
-(step t252 (cl @p_436 @p_440 @p_439 @p_415 @p_422) :rule th_resolution :premises (t251 t237))
-(step t253 (cl @p_441 @p_438 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t250 t252))
-(step t254 (cl @p_442) :rule eq_reflexive)
-(step t255 (cl @p_438 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t253 t254))
-(step t256 (cl @p_443 @p_437 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t249 t255))
-(step t257 (cl @p_444 @p_440 @p_415 (! (not (! (= @p_445 @p_426) :named @p_447)) :named @p_465)) :rule la_generic :args (2.0 2 2 1))
-(step t258 (cl (not (! (= @p_446 @p_445) :named @p_448)) (! (not @p_389) :named @p_459) @p_447) :rule eq_transitive)
-(step t259 (cl (not (! (= @p_36 @p_237) :named @p_451)) (! (not (! (= @p_235 @p_235) :named @p_458)) :named @p_457) @p_448) :rule eq_congruent)
-(step t260 (cl @p_440 @p_449 @p_436 (! (not @p_397) :named @p_452) (! (not @p_450) :named @p_453) (! (not (! (= @p_237 @p_309) :named @p_456)) :named @p_454) @p_451) :rule eq_transitive)
-(step t261 (cl @p_440 @p_436 @p_452 @p_453 @p_454 @p_451 @p_415 @p_422) :rule th_resolution :premises (t260 t237))
-(step t262 (cl @p_455 @p_456) :rule eq_congruent)
-(step t263 (cl @p_456 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t262 t252))
-(step t264 (cl @p_440 @p_436 @p_452 @p_453 @p_451 @p_415 @p_422 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t261 t263))
-(step t265 (cl @p_440 @p_436 @p_452 @p_453 @p_451 @p_415 @p_422) :rule contraction :premises (t264))
-(step t266 (cl @p_457 @p_448 @p_440 @p_436 @p_452 @p_453 @p_415 @p_422) :rule th_resolution :premises (t259 t265))
-(step t267 (cl @p_458) :rule eq_reflexive)
-(step t268 (cl @p_448 @p_440 @p_436 @p_452 @p_453 @p_415 @p_422) :rule th_resolution :premises (t266 t267))
-(step t269 (cl @p_459 @p_447 @p_440 @p_436 @p_452 @p_453 @p_415 @p_422) :rule th_resolution :premises (t258 t268))
-(step t270 (cl @p_444 @p_440 @p_415 @p_459 @p_436 @p_452 @p_453 @p_422) :rule th_resolution :premises (t257 t269))
-(step t271 (cl @p_444 @p_452 @p_453) :rule resolution :premises (t270 t170 t189 t226 t201 t223))
-(step t272 (cl (! (not (! (< @p_36 0.0) :named @p_462)) :named @p_460) @p_440 @p_415) :rule la_generic :args (1.0 1 1))
-(step t273 (cl @p_460) :rule resolution :premises (t272 t189 t226))
-(step t274 (cl @p_455 @p_461 (! (not @p_308) :named @p_463) @p_462) :rule eq_congruent_pred)
-(step t275 (cl @p_455 @p_463 @p_462) :rule th_resolution :premises (t274 t228))
-(step t276 (cl @p_463 @p_462 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t275 t252))
-(step t277 (cl @p_463) :rule resolution :premises (t276 t273 t189 t226 t201 t223))
-(step t278 (cl @p_397) :rule resolution :premises (t191 t277 t195))
-(step t279 (cl @p_464 @p_440 @p_415 @p_465) :rule la_generic :args (2.0 (- 2) (- 2) (- 1)))
-(step t280 (cl @p_464 @p_440 @p_415 @p_459 @p_436 @p_452 @p_453 @p_422) :rule th_resolution :premises (t279 t269))
-(step t281 (cl @p_464 @p_453) :rule resolution :premises (t280 t170 t189 t226 t278 t201 t223))
-(step t282 (cl (or (! (= 0.0 @p_426) :named @p_466) (! (not (! (<= 0.0 @p_426) :named @p_470)) :named @p_467) (! (not (! (<= @p_426 0.0) :named @p_469)) :named @p_468))) :rule la_disequality)
-(step t283 (cl @p_466 @p_467 @p_468) :rule or :premises (t282))
-(step t284 (cl @p_429 @p_469 @p_440 @p_415) :rule la_generic :args (1.0 1.0 (- 1) (- 1)))
-(step t285 (cl @p_429 @p_469) :rule resolution :premises (t284 t189 t226))
-(step t286 (cl @p_428 @p_470 @p_440 @p_415) :rule la_generic :args (1.0 1.0 1 1))
-(step t287 (cl @p_428 @p_470) :rule resolution :premises (t286 t189 t226))
-(step t288 (cl (or (! (= @p_426 @p_471) :named @p_472) (! (not (! (<= @p_426 @p_471) :named @p_486)) :named @p_473) (! (not (! (<= @p_471 @p_426) :named @p_475)) :named @p_474))) :rule la_disequality)
-(step t289 (cl @p_472 @p_473 @p_474) :rule or :premises (t288))
-(step t290 (cl @p_428 @p_475 @p_440 @p_415 (! (not (! (= @p_471 @p_239) :named @p_478)) :named @p_487) @p_476) :rule la_generic :args (2.0 2.0 2 2 (- 2) (- 1)))
-(step t291 (cl (! (not @p_390) :named @p_485) (! (not (! (= @p_477 @p_239) :named @p_480)) :named @p_567) @p_478) :rule eq_transitive)
-(step t292 (cl (! (not (! (= 0.0 @p_237) :named @p_482)) :named @p_481) @p_479 @p_480) :rule eq_congruent)
-(step t293 (cl @p_481 @p_480) :rule th_resolution :premises (t292 t239))
-(step t294 (cl (! (not @p_466) :named @p_483) (! (not @p_427) :named @p_484) @p_440 @p_449 @p_436 @p_452 @p_453 @p_454 @p_482) :rule eq_transitive)
-(step t295 (cl @p_483 @p_484 @p_440 @p_436 @p_452 @p_453 @p_454 @p_482 @p_415 @p_422) :rule th_resolution :premises (t294 t237))
-(step t296 (cl @p_483 @p_484 @p_440 @p_436 @p_452 @p_453 @p_482 @p_415 @p_422 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t295 t263))
-(step t297 (cl @p_483 @p_484 @p_440 @p_436 @p_452 @p_453 @p_482 @p_415 @p_422) :rule contraction :premises (t296))
-(step t298 (cl @p_480 @p_483 @p_484 @p_440 @p_436 @p_452 @p_453 @p_415 @p_422) :rule th_resolution :premises (t293 t297))
-(step t299 (cl @p_485 @p_478 @p_483 @p_484 @p_440 @p_436 @p_452 @p_453 @p_415 @p_422) :rule th_resolution :premises (t291 t298))
-(step t300 (cl @p_428 @p_475 @p_440 @p_415 @p_476 @p_485 @p_483 @p_484 @p_436 @p_452 @p_453 @p_422) :rule th_resolution :premises (t290 t299))
-(step t301 (cl @p_428 @p_475 @p_483 @p_484 @p_453) :rule resolution :premises (t300 t172 t174 t189 t226 t278 t201 t223))
-(step t302 (cl @p_429 @p_486 @p_440 @p_415 @p_487 @p_476) :rule la_generic :args (2.0 2.0 (- 2) (- 2) 2 1))
-(step t303 (cl @p_429 @p_486 @p_440 @p_415 @p_476 @p_485 @p_483 @p_484 @p_436 @p_452 @p_453 @p_422) :rule th_resolution :premises (t302 t299))
-(step t304 (cl @p_429 @p_486 @p_483 @p_484 @p_453) :rule resolution :premises (t303 t172 t174 t189 t226 t278 t201 t223))
-(step t305 (cl @p_233 @p_488) :rule or :premises (t71))
-(step t306 (cl (or (! (not @p_488) :named @p_491) (! (or (! (not (! (= @p_354 @p_489) :named @p_540)) :named @p_500) (! (= @p_348 @p_490) :named @p_513)) :named @p_492))) :rule forall_inst :args ((:= veriT_vr28 @p_388) (:= veriT_vr29 @p_490) (:= veriT_vr30 @p_2) (:= veriT_vr31 @p_348)))
-(step t307 (cl @p_491 @p_492) :rule or :premises (t306))
-(step t308 (cl (! (or @p_233 @p_492) :named @p_494) @p_493) :rule or_neg)
-(step t309 (cl @p_494 @p_218) :rule th_resolution :premises (t72 t308))
-(step t310 (cl @p_494 (! (not @p_492) :named @p_512)) :rule or_neg)
-(step t311 (cl @p_494) :rule th_resolution :premises (t305 t307 t309 t310))
-(step t312 (cl (or @p_491 (! (or (! (not (! (= @p_340 @p_495) :named @p_546)) :named @p_515) (! (= @p_252 @p_496) :named @p_516)) :named @p_497))) :rule forall_inst :args ((:= veriT_vr28 @p_2) (:= veriT_vr29 @p_252) (:= veriT_vr30 @p_359) (:= veriT_vr31 @p_496)))
-(step t313 (cl @p_491 @p_497) :rule or :premises (t312))
-(step t314 (cl (! (or @p_233 @p_497) :named @p_498) @p_493) :rule or_neg)
-(step t315 (cl @p_498 @p_218) :rule th_resolution :premises (t72 t314))
-(step t316 (cl @p_498 (! (not @p_497) :named @p_514)) :rule or_neg)
-(step t317 (cl @p_498) :rule th_resolution :premises (t305 t313 t315 t316))
-(step t318 (cl @p_233 @p_499) :rule or :premises (t70))
-(step t319 (cl (or (! (not @p_499) :named @p_501) (! (or @p_500 (! (= @p_2 @p_388) :named @p_518)) :named @p_502))) :rule forall_inst :args ((:= veriT_vr28 @p_388) (:= veriT_vr29 @p_490) (:= veriT_vr30 @p_2) (:= veriT_vr31 @p_348)))
-(step t320 (cl @p_501 @p_502) :rule or :premises (t319))
-(step t321 (cl (! (or @p_233 @p_502) :named @p_503) @p_493) :rule or_neg)
-(step t322 (cl @p_503 @p_218) :rule th_resolution :premises (t72 t321))
-(step t323 (cl @p_503 (! (not @p_502) :named @p_517)) :rule or_neg)
-(step t324 (cl @p_503) :rule th_resolution :premises (t318 t320 t322 t323))
-(step t325 (cl (or @p_501 (! (or (! (not (! (= @p_504 @p_368) :named @p_535)) :named @p_520) (! (= @p_2 @p_239) :named @p_521)) :named @p_506))) :rule forall_inst :args ((:= veriT_vr28 @p_2) (:= veriT_vr29 @p_505) (:= veriT_vr30 @p_239) (:= veriT_vr31 @p_366)))
-(step t326 (cl @p_501 @p_506) :rule or :premises (t325))
-(step t327 (cl (! (or @p_233 @p_506) :named @p_507) @p_493) :rule or_neg)
-(step t328 (cl @p_507 @p_218) :rule th_resolution :premises (t72 t327))
-(step t329 (cl @p_507 (! (not @p_506) :named @p_519)) :rule or_neg)
-(step t330 (cl @p_507) :rule th_resolution :premises (t318 t326 t328 t329))
-(step t331 (cl (or @p_501 (! (or (! (not (! (= @p_508 @p_495) :named @p_527)) :named @p_523) (! (= @p_2 @p_359) :named @p_524)) :named @p_510))) :rule forall_inst :args ((:= veriT_vr28 @p_2) (:= veriT_vr29 @p_509) (:= veriT_vr30 @p_359) (:= veriT_vr31 @p_496)))
-(step t332 (cl @p_501 @p_510) :rule or :premises (t331))
-(step t333 (cl (! (or @p_233 @p_510) :named @p_511) @p_493) :rule or_neg)
-(step t334 (cl @p_511 @p_218) :rule th_resolution :premises (t72 t333))
-(step t335 (cl @p_511 (! (not @p_510) :named @p_522)) :rule or_neg)
-(step t336 (cl @p_511) :rule th_resolution :premises (t318 t332 t334 t335))
-(step t337 (cl @p_512 @p_500 @p_513) :rule or_pos)
-(step t338 (cl @p_233 @p_492) :rule or :premises (t311))
-(step t339 (cl @p_492) :rule resolution :premises (t338 t54))
-(step t340 (cl @p_514 @p_515 @p_516) :rule or_pos)
-(step t341 (cl @p_233 @p_497) :rule or :premises (t317))
-(step t342 (cl @p_497) :rule resolution :premises (t341 t54))
-(step t343 (cl @p_517 @p_500 @p_518) :rule or_pos)
-(step t344 (cl @p_233 @p_502) :rule or :premises (t324))
-(step t345 (cl @p_502) :rule resolution :premises (t344 t54))
-(step t346 (cl @p_519 @p_520 @p_521) :rule or_pos)
-(step t347 (cl @p_233 @p_506) :rule or :premises (t330))
-(step t348 (cl @p_506) :rule resolution :premises (t347 t54))
-(step t349 (cl @p_522 @p_523 @p_524) :rule or_pos)
-(step t350 (cl @p_233 @p_510) :rule or :premises (t336))
-(step t351 (cl @p_510) :rule resolution :premises (t350 t54))
-(step t352 (cl (! (not @p_403) :named @p_531) (not (! (= @p_525 @p_526) :named @p_528)) (! (not @p_405) :named @p_532) @p_527) :rule eq_transitive)
-(step t353 (cl (! (not @p_227) :named @p_530) (not (! (= @p_36 @p_36) :named @p_529)) @p_528) :rule eq_congruent)
-(step t354 (cl @p_529) :rule eq_reflexive)
-(step t355 (cl @p_530 @p_528) :rule th_resolution :premises (t353 t354))
-(step t356 (cl @p_531 @p_532 @p_527 @p_530) :rule th_resolution :premises (t352 t355))
-(step t357 (cl @p_527) :rule resolution :premises (t356 t69 t206 t214))
-(step t358 (cl (! (not @p_404) :named @p_537) (not (! (= @p_533 @p_363) :named @p_536)) @p_534 @p_535) :rule eq_transitive)
-(step t359 (cl @p_530 @p_441 @p_536) :rule eq_congruent)
-(step t360 (cl @p_530 @p_536) :rule th_resolution :premises (t359 t254))
-(step t361 (cl @p_537 @p_534 @p_535 @p_530) :rule th_resolution :premises (t358 t360))
-(step t362 (cl @p_535) :rule resolution :premises (t361 t69 t208 t216))
-(step t363 (cl @p_538 (not (! (= @p_347 @p_539) :named @p_541)) (! (not @p_406) :named @p_543) @p_540) :rule eq_transitive)
-(step t364 (cl @p_530 (not (! (= 1.0 1.0) :named @p_542)) @p_541) :rule eq_congruent)
-(step t365 (cl @p_542) :rule eq_reflexive)
-(step t366 (cl @p_530 @p_541) :rule th_resolution :premises (t364 t365))
-(step t367 (cl @p_538 @p_543 @p_540 @p_530) :rule th_resolution :premises (t363 t366))
-(step t368 (cl @p_540) :rule resolution :premises (t367 t69 t212 t220))
-(step t369 (cl @p_544 (! (not (! (= @p_334 @p_376) :named @p_553)) :named @p_552) @p_545 (not (! (= @p_495 @p_383) :named @p_548)) @p_546) :rule eq_transitive)
-(step t370 (cl (! (not @p_547) :named @p_550) (! (not (! (= @p_496 @p_381) :named @p_551)) :named @p_549) @p_548) :rule eq_congruent)
-(step t371 (cl @p_479 @p_547 @p_443 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t238 t256))
-(step t372 (cl @p_547 @p_443 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t371 t239))
-(step t373 (cl @p_549 @p_548 @p_443 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t370 t372))
-(step t374 (cl @p_550 @p_551) :rule eq_congruent)
-(step t375 (cl @p_551 @p_443 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t374 t372))
-(step t376 (cl @p_548 @p_443 @p_436 @p_440 @p_415 @p_422 @p_443 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t373 t375))
-(step t377 (cl @p_548 @p_443 @p_436 @p_440 @p_415 @p_422) :rule contraction :premises (t376))
-(step t378 (cl @p_544 @p_552 @p_545 @p_546 @p_443 @p_436 @p_440 @p_415 @p_422) :rule th_resolution :premises (t369 t377))
-(step t379 (cl @p_530 @p_461 @p_553) :rule eq_congruent)
-(step t380 (cl @p_530 @p_553) :rule th_resolution :premises (t379 t228))
-(step t381 (cl @p_544 @p_545 @p_546 @p_443 @p_436 @p_440 @p_415 @p_422 @p_530) :rule th_resolution :premises (t378 t380))
-(step t382 (cl @p_546) :rule resolution :premises (t381 t189 t226 t201 t69 t210 t218 t248 t223))
-(step t383 (cl @p_524) :rule resolution :premises (t349 t357 t351))
-(step t384 (cl @p_521) :rule resolution :premises (t346 t362 t348))
-(step t385 (cl @p_513) :rule resolution :premises (t337 t368 t339))
-(step t386 (cl @p_518) :rule resolution :premises (t343 t368 t345))
-(step t387 (cl @p_516) :rule resolution :premises (t340 t382 t342))
-(step t388 (cl (! (not (! (= @p_309 @p_249) :named @p_559)) :named @p_556) @p_554 (! (not @p_516) :named @p_557) (! (not (! (= @p_36 @p_496) :named @p_555)) :named @p_569) @p_440 @p_449 @p_436 @p_452 @p_450) :rule eq_transitive)
-(step t389 (cl (! (not @p_524) :named @p_558) @p_555) :rule eq_congruent)
-(step t390 (cl @p_556 @p_554 @p_557 @p_440 @p_449 @p_436 @p_452 @p_450 @p_558) :rule th_resolution :premises (t388 t389))
-(step t391 (cl @p_556 @p_554 @p_557 @p_440 @p_436 @p_452 @p_450 @p_558 @p_415 @p_422) :rule th_resolution :premises (t390 t237))
-(step t392 (cl (not (! (= @p_235 @p_348) :named @p_560)) @p_559) :rule eq_congruent)
-(step t393 (cl @p_436 @p_449 @p_440 (! (not (! (= @p_36 @p_490) :named @p_561)) :named @p_564) (! (not @p_513) :named @p_562) @p_560) :rule eq_transitive)
-(step t394 (cl (! (not @p_518) :named @p_563) @p_561) :rule eq_congruent)
-(step t395 (cl @p_436 @p_449 @p_440 @p_562 @p_560 @p_563) :rule th_resolution :premises (t393 t394))
-(step t396 (cl @p_436 @p_440 @p_562 @p_560 @p_563 @p_415 @p_422) :rule th_resolution :premises (t395 t237))
-(step t397 (cl @p_559 @p_436 @p_440 @p_562 @p_563 @p_415 @p_422) :rule th_resolution :premises (t392 t396))
-(step t398 (cl @p_554 @p_557 @p_440 @p_436 @p_452 @p_450 @p_558 @p_415 @p_422 @p_436 @p_440 @p_562 @p_563 @p_415 @p_422) :rule th_resolution :premises (t391 t397))
-(step t399 (cl @p_554 @p_557 @p_440 @p_436 @p_452 @p_450 @p_558 @p_415 @p_422 @p_562 @p_563) :rule contraction :premises (t398))
-(step t400 (cl @p_450) :rule resolution :premises (t399 t189 t226 t278 t201 t223 t385 t387 t386 t176 t383))
-(step t401 (cl (not (! (= @p_36 @p_348) :named @p_565)) (! (= @p_237 @p_249) :named @p_566)) :rule eq_congruent)
-(step t402 (cl @p_564 @p_562 @p_565) :rule eq_transitive)
-(step t403 (cl @p_562 @p_565 @p_563) :rule th_resolution :premises (t402 t394))
-(step t404 (cl @p_566 @p_562 @p_563) :rule th_resolution :premises (t401 t403))
-(step t405 (cl @p_444) :rule resolution :premises (t271 t400 t278))
-(step t406 (cl @p_464) :rule resolution :premises (t281 t400))
-(step t407 (cl @p_469) :rule resolution :premises (t285 t405))
-(step t408 (cl @p_427) :rule resolution :premises (t241 t406 t405))
-(step t409 (cl @p_470) :rule resolution :premises (t287 t406))
-(step t410 (cl @p_466) :rule resolution :premises (t283 t409 t407))
-(step t411 (cl @p_475) :rule resolution :premises (t301 t410 t400 t406 t408))
-(step t412 (cl @p_486) :rule resolution :premises (t304 t410 t400 t405 t408))
-(step t413 (cl @p_472) :rule resolution :premises (t289 t412 t411))
-(step t414 (cl (not (! (= @p_2 0.0) :named @p_568)) (! (= @p_36 @p_322) :named @p_573)) :rule eq_congruent)
-(step t415 (cl (! (not @p_521) :named @p_571) @p_567 @p_485 (! (not @p_472) :named @p_572) @p_483 @p_568) :rule eq_transitive)
-(step t416 (cl @p_483 @p_484 @p_569 @p_557 @p_554 (! (not @p_566) :named @p_570) @p_482) :rule eq_transitive)
-(step t417 (cl @p_483 @p_484 @p_557 @p_554 @p_570 @p_482 @p_558) :rule th_resolution :premises (t416 t389))
-(step t418 (cl @p_483 @p_484 @p_557 @p_554 @p_482 @p_558 @p_562 @p_563) :rule th_resolution :premises (t417 t404))
-(step t419 (cl @p_480 @p_483 @p_484 @p_557 @p_554 @p_558 @p_562 @p_563) :rule th_resolution :premises (t293 t418))
-(step t420 (cl @p_571 @p_485 @p_572 @p_483 @p_568 @p_483 @p_484 @p_557 @p_554 @p_558 @p_562 @p_563) :rule th_resolution :premises (t415 t419))
-(step t421 (cl @p_571 @p_485 @p_572 @p_483 @p_568 @p_484 @p_557 @p_554 @p_558 @p_562 @p_563) :rule contraction :premises (t420))
-(step t422 (cl @p_573 @p_571 @p_485 @p_572 @p_483 @p_484 @p_557 @p_554 @p_558 @p_562 @p_563) :rule th_resolution :premises (t414 t421))
-(step t423 (cl @p_571 @p_567 @p_485 @p_572 @p_484 (not @p_573) @p_574 @p_415 @p_413) :rule eq_transitive)
-(step t424 (cl @p_571 @p_567 @p_485 @p_572 @p_484 @p_574 @p_415 @p_413 @p_571 @p_485 @p_572 @p_483 @p_484 @p_557 @p_554 @p_558 @p_562 @p_563) :rule th_resolution :premises (t423 t422))
-(step t425 (cl @p_571 @p_567 @p_485 @p_572 @p_484 @p_574 @p_415 @p_413 @p_483 @p_557 @p_554 @p_558 @p_562 @p_563) :rule contraction :premises (t424))
-(step t426 (cl @p_571 @p_485 @p_572 @p_484 @p_574 @p_415 @p_413 @p_483 @p_557 @p_554 @p_558 @p_562 @p_563 @p_483 @p_484 @p_557 @p_554 @p_558 @p_562 @p_563) :rule th_resolution :premises (t425 t419))
-(step t427 (cl @p_571 @p_485 @p_572 @p_484 @p_574 @p_415 @p_413 @p_483 @p_557 @p_554 @p_558 @p_562 @p_563) :rule contraction :premises (t426))
-(step t428 (cl) :rule resolution :premises (t427 t172 t176 t232 t226 t204 t408 t410 t413 t385 t387 t386 t384 t383))
-268d7e42d22bc05b4bcc195eddbced079a39fedf 484 0
+(step t70 (cl (or (! (not @p_218) :named @p_233) (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) (or (not @p_208) @p_211)) :named @p_359))) :rule qnt_cnf)
+(step t71 (cl (not (! (not @p_233) :named @p_364)) @p_218) :rule not_not)
+(step t72 (cl (not (! (not (! (not @p_184) :named @p_234)) :named @p_243)) @p_184) :rule not_not)
+(step t73 (cl (or @p_234 (! (= (! (times$ (! (- 0.0) :named @p_238) d$) :named @p_239) (! (- (! (times$ 0.0 d$) :named @p_236)) :named @p_237)) :named @p_235))) :rule forall_inst :args ((:= veriT_vr22 0.0) (:= veriT_vr23 d$)))
+(anchor :step t74)
+(assume t74.h1 @p_235)
+(step t74.t2 (cl (! (= 0.0 @p_238) :named @p_249)) :rule minus_simplify)
+(step t74.t3 (cl (= @p_239 @p_236)) :rule cong :premises (t74.t2))
+(step t74.t4 (cl (! (= @p_235 (! (= @p_236 @p_237) :named @p_240)) :named @p_241)) :rule cong :premises (t74.t3))
+(step t74.t5 (cl (not @p_241) (! (not @p_235) :named @p_242) @p_240) :rule equiv_pos2)
+(step t74.t6 (cl @p_240) :rule th_resolution :premises (t74.h1 t74.t4 t74.t5))
+(step t74 (cl @p_242 @p_240) :rule subproof :discharge (h1))
+(step t75 (cl @p_234 @p_235) :rule or :premises (t73))
+(step t76 (cl (! (or @p_234 @p_240) :named @p_244) @p_243) :rule or_neg)
+(step t77 (cl @p_244 @p_184) :rule th_resolution :premises (t72 t76))
+(step t78 (cl @p_244 (! (not @p_240) :named @p_350)) :rule or_neg)
+(step t79 (cl @p_244) :rule th_resolution :premises (t75 t74 t77 t78))
+(step t80 (cl (not (! (not (! (not @p_161) :named @p_245)) :named @p_254)) @p_161) :rule not_not)
+(step t81 (cl (or @p_245 (! (= (! (divide$ @p_238 2.0) :named @p_250) (! (- (! (divide$ 0.0 2.0) :named @p_247)) :named @p_248)) :named @p_246))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 2.0)))
+(anchor :step t82)
+(assume t82.h1 @p_246)
+(step t82.t2 (cl @p_249) :rule minus_simplify)
+(step t82.t3 (cl (= @p_250 @p_247)) :rule cong :premises (t82.t2))
+(step t82.t4 (cl (! (= @p_246 (! (= @p_247 @p_248) :named @p_251)) :named @p_252)) :rule cong :premises (t82.t3))
+(step t82.t5 (cl (not @p_252) (! (not @p_246) :named @p_253) @p_251) :rule equiv_pos2)
+(step t82.t6 (cl @p_251) :rule th_resolution :premises (t82.h1 t82.t4 t82.t5))
+(step t82 (cl @p_253 @p_251) :rule subproof :discharge (h1))
+(step t83 (cl @p_245 @p_246) :rule or :premises (t81))
+(step t84 (cl (! (or @p_245 @p_251) :named @p_255) @p_254) :rule or_neg)
+(step t85 (cl @p_255 @p_161) :rule th_resolution :premises (t80 t84))
+(step t86 (cl @p_255 (! (not @p_251) :named @p_336)) :rule or_neg)
+(step t87 (cl @p_255) :rule th_resolution :premises (t83 t82 t85 t86))
+(step t88 (cl (not (! (not (! (not @p_139) :named @p_256)) :named @p_276)) @p_139) :rule not_not)
+(step t89 (cl (or @p_256 (! (= (! (< @p_247 @p_3) :named @p_259) (! (and (! (=> (! (< 0.0 2.0) :named @p_260) @p_257) :named @p_261) (! (=> (! (< 2.0 0.0) :named @p_263) (! (< d$ 0.0) :named @p_265)) :named @p_264) (! (not (! (= 2.0 0.0) :named @p_267)) :named @p_268)) :named @p_270)) :named @p_258))) :rule forall_inst :args ((:= veriT_vr13 0.0) (:= veriT_vr14 2.0) (:= veriT_vr15 d$)))
+(anchor :step t90)
+(assume t90.h1 @p_258)
+(step t90.t2 (cl (= @p_260 true)) :rule comp_simplify)
+(step t90.t3 (cl (= @p_261 (! (=> true @p_257) :named @p_262))) :rule cong :premises (t90.t2))
+(step t90.t4 (cl (= @p_262 @p_257)) :rule implies_simplify)
+(step t90.t5 (cl (= @p_261 @p_257)) :rule trans :premises (t90.t3 t90.t4))
+(step t90.t6 (cl (= @p_263 false)) :rule comp_simplify)
+(step t90.t7 (cl (= @p_264 (! (=> false @p_265) :named @p_266))) :rule cong :premises (t90.t6))
+(step t90.t8 (cl (= @p_266 true)) :rule implies_simplify)
+(step t90.t9 (cl (= @p_264 true)) :rule trans :premises (t90.t7 t90.t8))
+(step t90.t10 (cl (= @p_267 false)) :rule eq_simplify)
+(step t90.t11 (cl (= @p_268 @p_228)) :rule cong :premises (t90.t10))
+(step t90.t12 (cl @p_269) :rule not_simplify)
+(step t90.t13 (cl (= @p_268 true)) :rule trans :premises (t90.t11 t90.t12))
+(step t90.t14 (cl (= @p_270 (! (and @p_257 true true) :named @p_271))) :rule cong :premises (t90.t5 t90.t9 t90.t13))
+(step t90.t15 (cl (= @p_271 (! (and @p_257) :named @p_272))) :rule and_simplify)
+(step t90.t16 (cl (= @p_272 @p_257)) :rule and_simplify)
+(step t90.t17 (cl (= @p_270 @p_257)) :rule trans :premises (t90.t14 t90.t15 t90.t16))
+(step t90.t18 (cl (! (= @p_258 (! (= @p_259 @p_257) :named @p_273)) :named @p_274)) :rule cong :premises (t90.t17))
+(step t90.t19 (cl (not @p_274) (! (not @p_258) :named @p_275) @p_273) :rule equiv_pos2)
+(step t90.t20 (cl @p_273) :rule th_resolution :premises (t90.h1 t90.t18 t90.t19))
+(step t90 (cl @p_275 @p_273) :rule subproof :discharge (h1))
+(step t91 (cl @p_256 @p_258) :rule or :premises (t89))
+(step t92 (cl (! (or @p_256 @p_273) :named @p_277) @p_276) :rule or_neg)
+(step t93 (cl @p_277 @p_139) :rule th_resolution :premises (t88 t92))
+(step t94 (cl @p_277 (! (not @p_273) :named @p_326)) :rule or_neg)
+(step t95 (cl @p_277) :rule th_resolution :premises (t91 t90 t93 t94))
+(step t96 (cl (not (! (not (! (not @p_84) :named @p_278)) :named @p_291)) @p_84) :rule not_not)
+(step t97 (cl (or @p_278 (! (= @p_36 (! (- @p_3 (! (ite (! (< @p_2 0.0) :named @p_280) (! (- @p_2) :named @p_282) @p_2) :named @p_283)) :named @p_284)) :named @p_279))) :rule forall_inst :args ((:= veriT_vr9 @p_2)))
+(anchor :step t98)
+(assume t98.h1 @p_279)
+(step t98.t2 (cl (= @p_3 @p_282)) :rule minus_simplify)
+(step t98.t3 (cl (= @p_283 (! (ite @p_280 @p_3 @p_2) :named @p_281))) :rule cong :premises (t98.t2))
+(step t98.t4 (cl (= @p_284 (! (- @p_3 @p_281) :named @p_285))) :rule cong :premises (t98.t3))
+(step t98.t5 (cl (! (= @p_279 (! (= @p_36 @p_285) :named @p_288)) :named @p_286)) :rule cong :premises (t98.t4))
+(step t98.t6 (cl (not @p_286) (! (not @p_279) :named @p_287) @p_288) :rule equiv_pos2)
+(step t98.t7 (cl @p_288) :rule th_resolution :premises (t98.h1 t98.t5 t98.t6))
+(step t98.t8 (cl (! (= @p_288 (! (and (! (= @p_36 (- @p_3 @p_281)) :named @p_328) (! (ite @p_280 (! (= @p_3 @p_281) :named @p_330) (= @p_2 @p_281)) :named @p_329)) :named @p_289)) :named @p_290)) :rule ite_intro)
+(step t98.t9 (cl (not @p_290) (not @p_288) @p_289) :rule equiv_pos2)
+(step t98.t10 (cl @p_289) :rule th_resolution :premises (t98.t7 t98.t8 t98.t9))
+(step t98 (cl @p_287 @p_289) :rule subproof :discharge (h1))
+(step t99 (cl @p_278 @p_279) :rule or :premises (t97))
+(step t100 (cl (! (or @p_278 @p_289) :named @p_292) @p_291) :rule or_neg)
+(step t101 (cl @p_292 @p_84) :rule th_resolution :premises (t96 t100))
+(step t102 (cl @p_292 (! (not @p_289) :named @p_327)) :rule or_neg)
+(step t103 (cl @p_292) :rule th_resolution :premises (t99 t98 t101 t102))
+(step t104 (cl (or @p_278 (! (= (! (diamond_y$ @p_3) :named @p_294) (- @p_3 (! (ite (! (< @p_3 0.0) :named @p_296) @p_2 @p_3) :named @p_295))) :named @p_293))) :rule forall_inst :args ((:= veriT_vr9 @p_3)))
+(anchor :step t105)
+(assume t105.h1 @p_293)
+(step t105.t2 (cl (! (= @p_293 (! (and (= @p_294 (- @p_3 @p_295)) (! (ite @p_296 (! (= @p_2 @p_295) :named @p_342) (! (= @p_3 @p_295) :named @p_332)) :named @p_331)) :named @p_297)) :named @p_298)) :rule ite_intro)
+(step t105.t3 (cl (not @p_298) (! (not @p_293) :named @p_299) @p_297) :rule equiv_pos2)
+(step t105.t4 (cl @p_297) :rule th_resolution :premises (t105.h1 t105.t2 t105.t3))
+(step t105 (cl @p_299 @p_297) :rule subproof :discharge (h1))
+(step t106 (cl @p_278 @p_293) :rule or :premises (t104))
+(step t107 (cl (! (or @p_278 @p_297) :named @p_300) @p_291) :rule or_neg)
+(step t108 (cl @p_300 @p_84) :rule th_resolution :premises (t96 t107))
+(step t109 (cl @p_300 (! (not @p_297) :named @p_333)) :rule or_neg)
+(step t110 (cl @p_300) :rule th_resolution :premises (t106 t105 t108 t109))
+(step t111 (cl (or @p_278 (! (= (! (diamond_y$ 0.0) :named @p_302) (! (- @p_3 (! (ite (! (< 0.0 0.0) :named @p_303) @p_238 0.0) :named @p_304)) :named @p_306)) :named @p_301))) :rule forall_inst :args ((:= veriT_vr9 0.0)))
+(anchor :step t112)
+(assume t112.h1 @p_301)
+(step t112.t2 (cl (= @p_303 false)) :rule comp_simplify)
+(step t112.t3 (cl @p_249) :rule minus_simplify)
+(step t112.t4 (cl (= @p_304 (! (ite false 0.0 0.0) :named @p_305))) :rule cong :premises (t112.t2 t112.t3))
+(step t112.t5 (cl (= 0.0 @p_305)) :rule ite_simplify)
+(step t112.t6 (cl (= 0.0 @p_304)) :rule trans :premises (t112.t4 t112.t5))
+(step t112.t7 (cl (= @p_306 (! (- @p_3 0.0) :named @p_307))) :rule cong :premises (t112.t6))
+(step t112.t8 (cl (= @p_3 @p_307)) :rule minus_simplify)
+(step t112.t9 (cl (= @p_3 @p_306)) :rule trans :premises (t112.t7 t112.t8))
+(step t112.t10 (cl (! (= @p_301 (! (= @p_3 @p_302) :named @p_308)) :named @p_309)) :rule cong :premises (t112.t9))
+(step t112.t11 (cl (not @p_309) (! (not @p_301) :named @p_310) @p_308) :rule equiv_pos2)
+(step t112.t12 (cl @p_308) :rule th_resolution :premises (t112.h1 t112.t10 t112.t11))
+(step t112 (cl @p_310 @p_308) :rule subproof :discharge (h1))
+(step t113 (cl @p_278 @p_301) :rule or :premises (t111))
+(step t114 (cl (! (or @p_278 @p_308) :named @p_311) @p_291) :rule or_neg)
+(step t115 (cl @p_311 @p_84) :rule th_resolution :premises (t96 t114))
+(step t116 (cl @p_311 (! (not @p_308) :named @p_376)) :rule or_neg)
+(step t117 (cl @p_311) :rule th_resolution :premises (t113 t112 t115 t116))
+(step t118 (cl (or (! (not @p_60) :named @p_334) (! (= (! (fun_app$ uub$ @p_7) :named @p_369) (! (pair$ @p_2 (! (times$ (- (* 2.0 @p_7) 1.0) @p_36) :named @p_361)) :named @p_360)) :named @p_335))) :rule forall_inst :args ((:= veriT_vr7 @p_7)))
+(step t119 (cl (or (! (not @p_34) :named @p_323) (! (= (! (fun_app$ uuc$ @p_7) :named @p_314) (! (pair$ (! (times$ (! (- @p_7 @p_7) :named @p_315) d$) :named @p_312) (! (diamond_y$ @p_312) :named @p_316)) :named @p_318)) :named @p_313))) :rule forall_inst :args ((:= veriT_vr1 @p_7)))
+(anchor :step t120)
+(assume t120.h1 @p_313)
+(step t120.t2 (cl (= 0.0 @p_315)) :rule minus_simplify)
+(step t120.t3 (cl (= @p_236 @p_312)) :rule cong :premises (t120.t2))
+(step t120.t4 (cl (= @p_316 (! (diamond_y$ @p_236) :named @p_317))) :rule cong :premises (t120.t3))
+(step t120.t5 (cl (= @p_318 (! (pair$ @p_236 @p_317) :named @p_319))) :rule cong :premises (t120.t3 t120.t4))
+(step t120.t6 (cl (! (= @p_313 (! (= @p_314 @p_319) :named @p_320)) :named @p_321)) :rule cong :premises (t120.t5))
+(step t120.t7 (cl (not @p_321) (! (not @p_313) :named @p_322) @p_320) :rule equiv_pos2)
+(step t120.t8 (cl @p_320) :rule th_resolution :premises (t120.h1 t120.t6 t120.t7))
+(step t120 (cl @p_322 @p_320) :rule subproof :discharge (h1))
+(step t121 (cl @p_323 @p_313) :rule or :premises (t119))
+(step t122 (cl (! (or @p_323 @p_320) :named @p_325) (! (not @p_323) :named @p_324)) :rule or_neg)
+(step t123 (cl (not @p_324) @p_34) :rule not_not)
+(step t124 (cl @p_325 @p_34) :rule th_resolution :premises (t123 t122))
+(step t125 (cl @p_325 (! (not @p_320) :named @p_370)) :rule or_neg)
+(step t126 (cl @p_325) :rule th_resolution :premises (t121 t120 t124 t125))
+(step t127 (cl @p_234 @p_240) :rule or :premises (t79))
+(step t128 (cl @p_240) :rule resolution :premises (t127 t48))
+(step t129 (cl @p_245 @p_251) :rule or :premises (t87))
+(step t130 (cl @p_251) :rule resolution :premises (t129 t42))
+(step t131 (cl @p_326 @p_259 (not @p_257)) :rule equiv_pos1)
+(step t132 (cl @p_256 @p_273) :rule or :premises (t95))
+(step t133 (cl @p_326 @p_259) :rule resolution :premises (t131 axiom4))
+(step t134 (cl @p_273) :rule resolution :premises (t132 t36))
+(step t135 (cl @p_259) :rule resolution :premises (t133 t134))
+(step t136 (cl @p_327 @p_328) :rule and_pos)
+(step t137 (cl (not @p_329) (! (not @p_280) :named @p_339) @p_330) :rule ite_pos2)
+(step t138 (cl @p_327 @p_329) :rule and_pos)
+(step t139 (cl @p_278 @p_289) :rule or :premises (t103))
+(step t140 (cl @p_289) :rule resolution :premises (t139 t27))
+(step t141 (cl @p_328) :rule resolution :premises (t136 t140))
+(step t142 (cl @p_329) :rule resolution :premises (t138 t140))
+(step t143 (cl (not @p_331) @p_296 @p_332) :rule ite_pos1)
+(step t144 (cl @p_333 @p_331) :rule and_pos)
+(step t145 (cl @p_278 @p_297) :rule or :premises (t110))
+(step t146 (cl @p_297) :rule resolution :premises (t145 t27))
+(step t147 (cl @p_331) :rule resolution :premises (t144 t146))
+(step t148 (cl @p_278 @p_308) :rule or :premises (t117))
+(step t149 (cl @p_308) :rule resolution :premises (t148 t27))
+(step t150 (cl @p_334 @p_335) :rule or :premises (t118))
+(step t151 (cl @p_335) :rule resolution :premises (t150 t21))
+(step t152 (cl @p_323 @p_320) :rule or :premises (t126))
+(step t153 (cl @p_320) :rule resolution :premises (t152 t15))
+(step t154 (cl (! (not @p_259) :named @p_338) (! (not @p_296) :named @p_337) @p_336) :rule la_generic :args (2.0 2.0 1))
+(step t155 (cl @p_337) :rule resolution :premises (t154 t130 t135))
+(step t156 (cl @p_332) :rule resolution :premises (t143 t155 t147))
+(step t157 (cl @p_338 @p_280 @p_336) :rule la_generic :args (2.0 2.0 1))
+(step t158 (cl @p_280) :rule resolution :premises (t157 t130 t135))
+(step t159 (cl @p_330) :rule resolution :premises (t137 t158 t142))
+(step t160 (cl (! (not (! (= @p_3 @p_2) :named @p_343)) :named @p_341) (not (! (= 0.0 0.0) :named @p_340)) @p_339 @p_296) :rule eq_congruent_pred)
+(step t161 (cl @p_340) :rule eq_reflexive)
+(step t162 (cl @p_341 @p_339 @p_296) :rule th_resolution :premises (t160 t161))
+(step t163 (cl (! (not @p_332) :named @p_344) (! (not @p_342) :named @p_345) @p_343) :rule eq_transitive)
+(step t164 (cl @p_339 @p_296 @p_344 @p_345) :rule th_resolution :premises (t162 t163))
+(step t165 (cl @p_345) :rule resolution :premises (t164 t155 t158 t156))
+(step t166 (cl (! (= @p_7 @p_7) :named @p_372)) :rule eq_reflexive)
+(step t167 (cl (or (! (= 0.0 @p_236) :named @p_346) (! (not (! (<= 0.0 @p_236) :named @p_351)) :named @p_347) (! (not (! (<= @p_236 0.0) :named @p_349)) :named @p_348))) :rule la_disequality)
+(step t168 (cl @p_346 @p_347 @p_348) :rule or :premises (t167))
+(step t169 (cl @p_349 @p_350) :rule la_generic :args (2.0 (- 1)))
+(step t170 (cl @p_349) :rule resolution :premises (t169 t128))
+(step t171 (cl @p_351 @p_350) :rule la_generic :args (2.0 1))
+(step t172 (cl @p_351) :rule resolution :premises (t171 t128))
+(step t173 (cl @p_346) :rule resolution :premises (t168 t172 t170))
+(step t174 (cl (or (! (= @p_36 @p_236) :named @p_352) (! (not (! (<= @p_36 @p_236) :named @p_356)) :named @p_353) (! (not (! (<= @p_236 @p_36) :named @p_355)) :named @p_354))) :rule la_disequality)
+(step t175 (cl @p_352 @p_353 @p_354) :rule or :premises (t174))
+(step t176 (cl @p_355 @p_350 (! (not @p_328) :named @p_357) (! (not @p_330) :named @p_358)) :rule la_generic :args (2.0 (- 1) 2 2))
+(step t177 (cl @p_355) :rule resolution :premises (t176 t128 t141 t159))
+(step t178 (cl @p_356 @p_350 @p_357 @p_358) :rule la_generic :args (2.0 1 (- 2) (- 2)))
+(step t179 (cl @p_356) :rule resolution :premises (t178 t128 t141 t159))
+(step t180 (cl @p_352) :rule resolution :premises (t175 t179 t177))
+(step t181 (cl @p_233 @p_359) :rule or :premises (t70))
+(step t182 (cl (or (! (not @p_359) :named @p_362) (! (or (! (not (! (= @p_360 @p_319) :named @p_371)) :named @p_367) (! (= @p_2 @p_236) :named @p_368)) :named @p_363))) :rule forall_inst :args ((:= veriT_vr28 @p_2) (:= veriT_vr29 @p_361) (:= veriT_vr30 @p_236) (:= veriT_vr31 @p_317)))
+(step t183 (cl @p_362 @p_363) :rule or :premises (t182))
+(step t184 (cl (! (or @p_233 @p_363) :named @p_365) @p_364) :rule or_neg)
+(step t185 (cl @p_365 @p_218) :rule th_resolution :premises (t71 t184))
+(step t186 (cl @p_365 (! (not @p_363) :named @p_366)) :rule or_neg)
+(step t187 (cl @p_365) :rule th_resolution :premises (t181 t183 t185 t186))
+(step t188 (cl @p_366 @p_367 @p_368) :rule or_pos)
+(step t189 (cl @p_233 @p_363) :rule or :premises (t187))
+(step t190 (cl @p_363) :rule resolution :premises (t189 t54))
+(step t191 (cl (! (not @p_335) :named @p_375) (not (! (= @p_369 @p_314) :named @p_373)) @p_370 @p_371) :rule eq_transitive)
+(step t192 (cl (! (not @p_227) :named @p_374) (not @p_372) @p_373) :rule eq_congruent)
+(step t193 (cl @p_374 @p_373) :rule th_resolution :premises (t192 t166))
+(step t194 (cl @p_375 @p_370 @p_371 @p_374) :rule th_resolution :premises (t191 t193))
+(step t195 (cl @p_371) :rule resolution :premises (t194 t69 t151 t153))
+(step t196 (cl @p_368) :rule resolution :premises (t188 t195 t190))
+(step t197 (cl (! (not @p_368) :named @p_378) (! (not @p_352) :named @p_381) (not (! (= @p_36 @p_302) :named @p_377)) @p_376 @p_344 @p_342) :rule eq_transitive)
+(step t198 (cl (not (! (= @p_2 0.0) :named @p_379)) @p_377) :rule eq_congruent)
+(step t199 (cl @p_378 (! (not @p_346) :named @p_380) @p_379) :rule eq_transitive)
+(step t200 (cl @p_377 @p_378 @p_380) :rule th_resolution :premises (t198 t199))
+(step t201 (cl @p_378 @p_381 @p_376 @p_344 @p_342 @p_378 @p_380) :rule th_resolution :premises (t197 t200))
+(step t202 (cl @p_378 @p_381 @p_376 @p_344 @p_342 @p_380) :rule contraction :premises (t201))
+(step t203 (cl) :rule resolution :premises (t202 t156 t165 t149 t173 t180 t196))
+42dfad143cfae67cfed01ebeb5997e53c8d08b98 26 0
 unsat
-(assume a0 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uuc$ ?v0) :named @p_9) (! (pair$ (! (times$ (! (- ?v0 (! (divide$ 1.0 2.0) :named @p_7)) :named @p_12) d$) :named @p_1) (! (diamond_y$ @p_1) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_6))
-(assume a3 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uub$ ?v0) :named @p_37) (! (pair$ (! (- (! (divide$ d$ 2.0) :named @p_3)) :named @p_2) (! (times$ (! (- (! (* 2.0 ?v0) :named @p_40) 1.0) :named @p_42) (! (diamond_y$ @p_2) :named @p_36)) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
-(assume a4 (! (< 0.0 d$) :named @p_279))
-(assume a5 (! (forall ((?v0 Real)) (! (= (! (diamond_y$ ?v0) :named @p_62) (! (- @p_3 (! (ite (! (< ?v0 0.0) :named @p_65) (! (- ?v0) :named @p_4) ?v0) :named @p_68)) :named @p_70)) :named @p_72)) :named @p_61))
-(assume a7 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real)) (! (= (! (< (! (divide$ ?v0 ?v1) :named @p_5) (! (divide$ ?v2 ?v1) :named @p_88)) :named @p_90) (! (and (! (=> (! (< 0.0 ?v1) :named @p_92) (! (< ?v0 ?v2) :named @p_96)) :named @p_98) (! (and (! (=> (! (< ?v1 0.0) :named @p_100) (! (< ?v2 ?v0) :named @p_102)) :named @p_104) (! (not (! (= 0.0 ?v1) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_112)) :named @p_114)) :named @p_85))
-(assume a8 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (divide$ @p_4 ?v1) :named @p_142) (! (- @p_5) :named @p_147)) :named @p_149)) :named @p_140))
-(assume a9 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (times$ @p_4 ?v1) :named @p_164) (! (- (! (times$ ?v0 ?v1) :named @p_168)) :named @p_170)) :named @p_172)) :named @p_162))
-(assume a10 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real) (?v3 Real)) (! (= (! (= (! (pair$ ?v0 ?v1) :named @p_186) (! (pair$ ?v2 ?v3) :named @p_188)) :named @p_190) (! (and (! (= ?v0 ?v2) :named @p_194) (! (= ?v1 ?v3) :named @p_198)) :named @p_200)) :named @p_202)) :named @p_185))
-(assume a11 (! (not (! (=> (! (and (! (not (= uua$ uu$)) :named @p_226) (! (= uuc$ uub$) :named @p_227)) :named @p_220) false) :named @p_224)) :named @p_219))
-(anchor :step t10 :args ((:= (?v0 Real) veriT_vr0)))
-(step t10.t1 (cl (! (= ?v0 veriT_vr0) :named @p_11)) :rule refl)
-(step t10.t2 (cl (= @p_9 (! (fun_app$ uuc$ veriT_vr0) :named @p_10))) :rule cong :premises (t10.t1))
-(step t10.t3 (cl @p_11) :rule refl)
-(step t10.t4 (cl (! (= @p_12 (! (- veriT_vr0 @p_7) :named @p_13)) :named @p_14)) :rule cong :premises (t10.t3))
-(step t10.t5 (cl (! (= @p_1 (! (times$ @p_13 d$) :named @p_8)) :named @p_15)) :rule cong :premises (t10.t4))
-(step t10.t6 (cl @p_11) :rule refl)
-(step t10.t7 (cl @p_14) :rule cong :premises (t10.t6))
-(step t10.t8 (cl @p_15) :rule cong :premises (t10.t7))
-(step t10.t9 (cl (= @p_16 (! (diamond_y$ @p_8) :named @p_17))) :rule cong :premises (t10.t8))
-(step t10.t10 (cl (= @p_18 (! (pair$ @p_8 @p_17) :named @p_19))) :rule cong :premises (t10.t5 t10.t9))
-(step t10.t11 (cl (= @p_20 (! (= @p_10 @p_19) :named @p_21))) :rule cong :premises (t10.t2 t10.t10))
-(step t10 (cl (! (= @p_6 (! (forall ((veriT_vr0 Real)) @p_21) :named @p_23)) :named @p_22)) :rule bind)
-(step t11 (cl (not @p_22) (not @p_6) @p_23) :rule equiv_pos2)
-(step t12 (cl @p_23) :rule th_resolution :premises (a0 t10 t11))
-(anchor :step t13 :args ((:= (veriT_vr0 Real) veriT_vr1)))
-(step t13.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_26)) :rule refl)
-(step t13.t2 (cl (= @p_10 (! (fun_app$ uuc$ veriT_vr1) :named @p_25))) :rule cong :premises (t13.t1))
-(step t13.t3 (cl @p_26) :rule refl)
-(step t13.t4 (cl (! (= @p_13 (! (- veriT_vr1 @p_7) :named @p_27)) :named @p_28)) :rule cong :premises (t13.t3))
-(step t13.t5 (cl (! (= @p_8 (! (times$ @p_27 d$) :named @p_24)) :named @p_29)) :rule cong :premises (t13.t4))
-(step t13.t6 (cl @p_26) :rule refl)
-(step t13.t7 (cl @p_28) :rule cong :premises (t13.t6))
-(step t13.t8 (cl @p_29) :rule cong :premises (t13.t7))
-(step t13.t9 (cl (= @p_17 (! (diamond_y$ @p_24) :named @p_30))) :rule cong :premises (t13.t8))
-(step t13.t10 (cl (= @p_19 (! (pair$ @p_24 @p_30) :named @p_31))) :rule cong :premises (t13.t5 t13.t9))
-(step t13.t11 (cl (= @p_21 (! (= @p_25 @p_31) :named @p_32))) :rule cong :premises (t13.t2 t13.t10))
-(step t13 (cl (! (= @p_23 (! (forall ((veriT_vr1 Real)) @p_32) :named @p_34)) :named @p_33)) :rule bind)
-(step t14 (cl (not @p_33) (not @p_23) @p_34) :rule equiv_pos2)
-(step t15 (cl @p_34) :rule th_resolution :premises (t12 t13 t14))
-(anchor :step t16 :args ((:= (?v0 Real) veriT_vr6)))
-(step t16.t1 (cl (! (= ?v0 veriT_vr6) :named @p_39)) :rule refl)
-(step t16.t2 (cl (= @p_37 (! (fun_app$ uub$ veriT_vr6) :named @p_38))) :rule cong :premises (t16.t1))
-(step t16.t3 (cl @p_39) :rule refl)
-(step t16.t4 (cl (= @p_40 (! (* 2.0 veriT_vr6) :named @p_41))) :rule cong :premises (t16.t3))
-(step t16.t5 (cl (= @p_42 (! (- @p_41 1.0) :named @p_43))) :rule cong :premises (t16.t4))
-(step t16.t6 (cl (= @p_44 (! (times$ @p_43 @p_36) :named @p_45))) :rule cong :premises (t16.t5))
-(step t16.t7 (cl (= @p_46 (! (pair$ @p_2 @p_45) :named @p_47))) :rule cong :premises (t16.t6))
-(step t16.t8 (cl (= @p_48 (! (= @p_38 @p_47) :named @p_49))) :rule cong :premises (t16.t2 t16.t7))
-(step t16 (cl (! (= @p_35 (! (forall ((veriT_vr6 Real)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
-(step t17 (cl (not @p_50) (not @p_35) @p_51) :rule equiv_pos2)
-(step t18 (cl @p_51) :rule th_resolution :premises (a3 t16 t17))
-(anchor :step t19 :args ((:= (veriT_vr6 Real) veriT_vr7)))
-(step t19.t1 (cl (! (= veriT_vr6 veriT_vr7) :named @p_53)) :rule refl)
-(step t19.t2 (cl (= @p_38 (! (fun_app$ uub$ veriT_vr7) :named @p_52))) :rule cong :premises (t19.t1))
-(step t19.t3 (cl @p_53) :rule refl)
-(step t19.t4 (cl (= @p_41 (! (* 2.0 veriT_vr7) :named @p_54))) :rule cong :premises (t19.t3))
-(step t19.t5 (cl (= @p_43 (! (- @p_54 1.0) :named @p_55))) :rule cong :premises (t19.t4))
-(step t19.t6 (cl (= @p_45 (! (times$ @p_55 @p_36) :named @p_56))) :rule cong :premises (t19.t5))
-(step t19.t7 (cl (= @p_47 (! (pair$ @p_2 @p_56) :named @p_57))) :rule cong :premises (t19.t6))
-(step t19.t8 (cl (= @p_49 (! (= @p_52 @p_57) :named @p_58))) :rule cong :premises (t19.t2 t19.t7))
-(step t19 (cl (! (= @p_51 (! (forall ((veriT_vr7 Real)) @p_58) :named @p_60)) :named @p_59)) :rule bind)
-(step t20 (cl (not @p_59) (not @p_51) @p_60) :rule equiv_pos2)
-(step t21 (cl @p_60) :rule th_resolution :premises (t18 t19 t20))
-(anchor :step t22 :args ((:= (?v0 Real) veriT_vr8)))
-(step t22.t1 (cl (! (= ?v0 veriT_vr8) :named @p_64)) :rule refl)
-(step t22.t2 (cl (= @p_62 (! (diamond_y$ veriT_vr8) :named @p_63))) :rule cong :premises (t22.t1))
-(step t22.t3 (cl @p_64) :rule refl)
-(step t22.t4 (cl (= @p_65 (! (< veriT_vr8 0.0) :named @p_66))) :rule cong :premises (t22.t3))
-(step t22.t5 (cl @p_64) :rule refl)
-(step t22.t6 (cl (= @p_4 (! (- veriT_vr8) :named @p_67))) :rule cong :premises (t22.t5))
-(step t22.t7 (cl @p_64) :rule refl)
-(step t22.t8 (cl (= @p_68 (! (ite @p_66 @p_67 veriT_vr8) :named @p_69))) :rule cong :premises (t22.t4 t22.t6 t22.t7))
-(step t22.t9 (cl (= @p_70 (! (- @p_3 @p_69) :named @p_71))) :rule cong :premises (t22.t8))
-(step t22.t10 (cl (= @p_72 (! (= @p_63 @p_71) :named @p_73))) :rule cong :premises (t22.t2 t22.t9))
-(step t22 (cl (! (= @p_61 (! (forall ((veriT_vr8 Real)) @p_73) :named @p_75)) :named @p_74)) :rule bind)
-(step t23 (cl (not @p_74) (not @p_61) @p_75) :rule equiv_pos2)
-(step t24 (cl @p_75) :rule th_resolution :premises (a5 t22 t23))
-(anchor :step t25 :args ((:= (veriT_vr8 Real) veriT_vr9)))
-(step t25.t1 (cl (! (= veriT_vr8 veriT_vr9) :named @p_77)) :rule refl)
-(step t25.t2 (cl (= @p_63 (! (diamond_y$ veriT_vr9) :named @p_76))) :rule cong :premises (t25.t1))
-(step t25.t3 (cl @p_77) :rule refl)
-(step t25.t4 (cl (= @p_66 (! (< veriT_vr9 0.0) :named @p_78))) :rule cong :premises (t25.t3))
-(step t25.t5 (cl @p_77) :rule refl)
-(step t25.t6 (cl (= @p_67 (! (- veriT_vr9) :named @p_79))) :rule cong :premises (t25.t5))
-(step t25.t7 (cl @p_77) :rule refl)
-(step t25.t8 (cl (= @p_69 (! (ite @p_78 @p_79 veriT_vr9) :named @p_80))) :rule cong :premises (t25.t4 t25.t6 t25.t7))
-(step t25.t9 (cl (= @p_71 (! (- @p_3 @p_80) :named @p_81))) :rule cong :premises (t25.t8))
-(step t25.t10 (cl (= @p_73 (! (= @p_76 @p_81) :named @p_82))) :rule cong :premises (t25.t2 t25.t9))
-(step t25 (cl (! (= @p_75 (! (forall ((veriT_vr9 Real)) @p_82) :named @p_84)) :named @p_83)) :rule bind)
-(step t26 (cl (not @p_83) (not @p_75) @p_84) :rule equiv_pos2)
-(step t27 (cl @p_84) :rule th_resolution :premises (t24 t25 t26))
-(anchor :step t28 :args ((:= (?v0 Real) veriT_vr10) (:= (?v1 Real) veriT_vr11) (:= (?v2 Real) veriT_vr12)))
-(step t28.t1 (cl (! (= ?v0 veriT_vr10) :named @p_94)) :rule refl)
-(step t28.t2 (cl (! (= ?v1 veriT_vr11) :named @p_87)) :rule refl)
-(step t28.t3 (cl (= @p_5 (! (divide$ veriT_vr10 veriT_vr11) :named @p_86))) :rule cong :premises (t28.t1 t28.t2))
-(step t28.t4 (cl (! (= ?v2 veriT_vr12) :named @p_95)) :rule refl)
-(step t28.t5 (cl @p_87) :rule refl)
-(step t28.t6 (cl (= @p_88 (! (divide$ veriT_vr12 veriT_vr11) :named @p_89))) :rule cong :premises (t28.t4 t28.t5))
-(step t28.t7 (cl (= @p_90 (! (< @p_86 @p_89) :named @p_91))) :rule cong :premises (t28.t3 t28.t6))
-(step t28.t8 (cl @p_87) :rule refl)
-(step t28.t9 (cl (= @p_92 (! (< 0.0 veriT_vr11) :named @p_93))) :rule cong :premises (t28.t8))
-(step t28.t10 (cl @p_94) :rule refl)
-(step t28.t11 (cl @p_95) :rule refl)
-(step t28.t12 (cl (= @p_96 (! (< veriT_vr10 veriT_vr12) :named @p_97))) :rule cong :premises (t28.t10 t28.t11))
-(step t28.t13 (cl (= @p_98 (! (=> @p_93 @p_97) :named @p_99))) :rule cong :premises (t28.t9 t28.t12))
-(step t28.t14 (cl @p_87) :rule refl)
-(step t28.t15 (cl (= @p_100 (! (< veriT_vr11 0.0) :named @p_101))) :rule cong :premises (t28.t14))
-(step t28.t16 (cl @p_95) :rule refl)
-(step t28.t17 (cl @p_94) :rule refl)
-(step t28.t18 (cl (= @p_102 (! (< veriT_vr12 veriT_vr10) :named @p_103))) :rule cong :premises (t28.t16 t28.t17))
-(step t28.t19 (cl (= @p_104 (! (=> @p_101 @p_103) :named @p_105))) :rule cong :premises (t28.t15 t28.t18))
-(step t28.t20 (cl @p_87) :rule refl)
-(step t28.t21 (cl (= @p_106 (! (= 0.0 veriT_vr11) :named @p_107))) :rule cong :premises (t28.t20))
-(step t28.t22 (cl (= @p_108 (! (not @p_107) :named @p_109))) :rule cong :premises (t28.t21))
-(step t28.t23 (cl (= @p_110 (! (and @p_105 @p_109) :named @p_111))) :rule cong :premises (t28.t19 t28.t22))
-(step t28.t24 (cl (= @p_112 (! (and @p_99 @p_111) :named @p_113))) :rule cong :premises (t28.t13 t28.t23))
-(step t28.t25 (cl (= @p_114 (! (= @p_91 @p_113) :named @p_115))) :rule cong :premises (t28.t7 t28.t24))
-(step t28 (cl (! (= @p_85 (! (forall ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)) @p_115) :named @p_117)) :named @p_116)) :rule bind)
-(step t29 (cl (not @p_116) (not @p_85) @p_117) :rule equiv_pos2)
-(step t30 (cl @p_117) :rule th_resolution :premises (a7 t28 t29))
-(anchor :step t31 :args ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)))
-(step t31.t1 (cl (= @p_113 (! (and @p_99 @p_105 @p_109) :named @p_118))) :rule ac_simp)
-(step t31.t2 (cl (= @p_115 (! (= @p_91 @p_118) :named @p_119))) :rule cong :premises (t31.t1))
-(step t31 (cl (! (= @p_117 (! (forall ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)) @p_119) :named @p_121)) :named @p_120)) :rule bind)
-(step t32 (cl (not @p_120) (not @p_117) @p_121) :rule equiv_pos2)
-(step t33 (cl @p_121) :rule th_resolution :premises (t30 t31 t32))
-(anchor :step t34 :args ((:= (veriT_vr10 Real) veriT_vr13) (:= (veriT_vr11 Real) veriT_vr14) (:= (veriT_vr12 Real) veriT_vr15)))
-(step t34.t1 (cl (! (= veriT_vr10 veriT_vr13) :named @p_127)) :rule refl)
-(step t34.t2 (cl (! (= veriT_vr11 veriT_vr14) :named @p_123)) :rule refl)
-(step t34.t3 (cl (= @p_86 (! (divide$ veriT_vr13 veriT_vr14) :named @p_122))) :rule cong :premises (t34.t1 t34.t2))
-(step t34.t4 (cl (! (= veriT_vr12 veriT_vr15) :named @p_128)) :rule refl)
-(step t34.t5 (cl @p_123) :rule refl)
-(step t34.t6 (cl (= @p_89 (! (divide$ veriT_vr15 veriT_vr14) :named @p_124))) :rule cong :premises (t34.t4 t34.t5))
-(step t34.t7 (cl (= @p_91 (! (< @p_122 @p_124) :named @p_125))) :rule cong :premises (t34.t3 t34.t6))
-(step t34.t8 (cl @p_123) :rule refl)
-(step t34.t9 (cl (= @p_93 (! (< 0.0 veriT_vr14) :named @p_126))) :rule cong :premises (t34.t8))
-(step t34.t10 (cl @p_127) :rule refl)
-(step t34.t11 (cl @p_128) :rule refl)
-(step t34.t12 (cl (= @p_97 (! (< veriT_vr13 veriT_vr15) :named @p_129))) :rule cong :premises (t34.t10 t34.t11))
-(step t34.t13 (cl (= @p_99 (! (=> @p_126 @p_129) :named @p_130))) :rule cong :premises (t34.t9 t34.t12))
-(step t34.t14 (cl @p_123) :rule refl)
-(step t34.t15 (cl (= @p_101 (! (< veriT_vr14 0.0) :named @p_131))) :rule cong :premises (t34.t14))
-(step t34.t16 (cl @p_128) :rule refl)
-(step t34.t17 (cl @p_127) :rule refl)
-(step t34.t18 (cl (= @p_103 (! (< veriT_vr15 veriT_vr13) :named @p_132))) :rule cong :premises (t34.t16 t34.t17))
-(step t34.t19 (cl (= @p_105 (! (=> @p_131 @p_132) :named @p_133))) :rule cong :premises (t34.t15 t34.t18))
-(step t34.t20 (cl @p_123) :rule refl)
-(step t34.t21 (cl (= @p_107 (! (= 0.0 veriT_vr14) :named @p_134))) :rule cong :premises (t34.t20))
-(step t34.t22 (cl (= @p_109 (! (not @p_134) :named @p_135))) :rule cong :premises (t34.t21))
-(step t34.t23 (cl (= @p_118 (! (and @p_130 @p_133 @p_135) :named @p_136))) :rule cong :premises (t34.t13 t34.t19 t34.t22))
-(step t34.t24 (cl (= @p_119 (! (= @p_125 @p_136) :named @p_137))) :rule cong :premises (t34.t7 t34.t23))
-(step t34 (cl (! (= @p_121 (! (forall ((veriT_vr13 Real) (veriT_vr14 Real) (veriT_vr15 Real)) @p_137) :named @p_139)) :named @p_138)) :rule bind)
-(step t35 (cl (not @p_138) (not @p_121) @p_139) :rule equiv_pos2)
-(step t36 (cl @p_139) :rule th_resolution :premises (t33 t34 t35))
-(anchor :step t37 :args ((:= (?v0 Real) veriT_vr16) (:= (?v1 Real) veriT_vr17)))
-(step t37.t1 (cl (! (= ?v0 veriT_vr16) :named @p_144)) :rule refl)
-(step t37.t2 (cl (= @p_4 (! (- veriT_vr16) :named @p_141))) :rule cong :premises (t37.t1))
-(step t37.t3 (cl (! (= ?v1 veriT_vr17) :named @p_145)) :rule refl)
-(step t37.t4 (cl (= @p_142 (! (divide$ @p_141 veriT_vr17) :named @p_143))) :rule cong :premises (t37.t2 t37.t3))
-(step t37.t5 (cl @p_144) :rule refl)
-(step t37.t6 (cl @p_145) :rule refl)
-(step t37.t7 (cl (= @p_5 (! (divide$ veriT_vr16 veriT_vr17) :named @p_146))) :rule cong :premises (t37.t5 t37.t6))
-(step t37.t8 (cl (= @p_147 (! (- @p_146) :named @p_148))) :rule cong :premises (t37.t7))
-(step t37.t9 (cl (= @p_149 (! (= @p_143 @p_148) :named @p_150))) :rule cong :premises (t37.t4 t37.t8))
-(step t37 (cl (! (= @p_140 (! (forall ((veriT_vr16 Real) (veriT_vr17 Real)) @p_150) :named @p_152)) :named @p_151)) :rule bind)
-(step t38 (cl (not @p_151) (not @p_140) @p_152) :rule equiv_pos2)
-(step t39 (cl @p_152) :rule th_resolution :premises (a8 t37 t38))
-(anchor :step t40 :args ((:= (veriT_vr16 Real) veriT_vr18) (:= (veriT_vr17 Real) veriT_vr19)))
-(step t40.t1 (cl (! (= veriT_vr16 veriT_vr18) :named @p_155)) :rule refl)
-(step t40.t2 (cl (= @p_141 (! (- veriT_vr18) :named @p_153))) :rule cong :premises (t40.t1))
-(step t40.t3 (cl (! (= veriT_vr17 veriT_vr19) :named @p_156)) :rule refl)
-(step t40.t4 (cl (= @p_143 (! (divide$ @p_153 veriT_vr19) :named @p_154))) :rule cong :premises (t40.t2 t40.t3))
-(step t40.t5 (cl @p_155) :rule refl)
-(step t40.t6 (cl @p_156) :rule refl)
-(step t40.t7 (cl (= @p_146 (! (divide$ veriT_vr18 veriT_vr19) :named @p_157))) :rule cong :premises (t40.t5 t40.t6))
-(step t40.t8 (cl (= @p_148 (! (- @p_157) :named @p_158))) :rule cong :premises (t40.t7))
-(step t40.t9 (cl (= @p_150 (! (= @p_154 @p_158) :named @p_159))) :rule cong :premises (t40.t4 t40.t8))
-(step t40 (cl (! (= @p_152 (! (forall ((veriT_vr18 Real) (veriT_vr19 Real)) @p_159) :named @p_161)) :named @p_160)) :rule bind)
-(step t41 (cl (not @p_160) (not @p_152) @p_161) :rule equiv_pos2)
-(step t42 (cl @p_161) :rule th_resolution :premises (t39 t40 t41))
-(anchor :step t43 :args ((:= (?v0 Real) veriT_vr20) (:= (?v1 Real) veriT_vr21)))
-(step t43.t1 (cl (! (= ?v0 veriT_vr20) :named @p_166)) :rule refl)
-(step t43.t2 (cl (= @p_4 (! (- veriT_vr20) :named @p_163))) :rule cong :premises (t43.t1))
-(step t43.t3 (cl (! (= ?v1 veriT_vr21) :named @p_167)) :rule refl)
-(step t43.t4 (cl (= @p_164 (! (times$ @p_163 veriT_vr21) :named @p_165))) :rule cong :premises (t43.t2 t43.t3))
-(step t43.t5 (cl @p_166) :rule refl)
-(step t43.t6 (cl @p_167) :rule refl)
-(step t43.t7 (cl (= @p_168 (! (times$ veriT_vr20 veriT_vr21) :named @p_169))) :rule cong :premises (t43.t5 t43.t6))
-(step t43.t8 (cl (= @p_170 (! (- @p_169) :named @p_171))) :rule cong :premises (t43.t7))
-(step t43.t9 (cl (= @p_172 (! (= @p_165 @p_171) :named @p_173))) :rule cong :premises (t43.t4 t43.t8))
-(step t43 (cl (! (= @p_162 (! (forall ((veriT_vr20 Real) (veriT_vr21 Real)) @p_173) :named @p_175)) :named @p_174)) :rule bind)
-(step t44 (cl (not @p_174) (not @p_162) @p_175) :rule equiv_pos2)
-(step t45 (cl @p_175) :rule th_resolution :premises (a9 t43 t44))
-(anchor :step t46 :args ((:= (veriT_vr20 Real) veriT_vr22) (:= (veriT_vr21 Real) veriT_vr23)))
-(step t46.t1 (cl (! (= veriT_vr20 veriT_vr22) :named @p_178)) :rule refl)
-(step t46.t2 (cl (= @p_163 (! (- veriT_vr22) :named @p_176))) :rule cong :premises (t46.t1))
-(step t46.t3 (cl (! (= veriT_vr21 veriT_vr23) :named @p_179)) :rule refl)
-(step t46.t4 (cl (= @p_165 (! (times$ @p_176 veriT_vr23) :named @p_177))) :rule cong :premises (t46.t2 t46.t3))
-(step t46.t5 (cl @p_178) :rule refl)
-(step t46.t6 (cl @p_179) :rule refl)
-(step t46.t7 (cl (= @p_169 (! (times$ veriT_vr22 veriT_vr23) :named @p_180))) :rule cong :premises (t46.t5 t46.t6))
-(step t46.t8 (cl (= @p_171 (! (- @p_180) :named @p_181))) :rule cong :premises (t46.t7))
-(step t46.t9 (cl (= @p_173 (! (= @p_177 @p_181) :named @p_182))) :rule cong :premises (t46.t4 t46.t8))
-(step t46 (cl (! (= @p_175 (! (forall ((veriT_vr22 Real) (veriT_vr23 Real)) @p_182) :named @p_184)) :named @p_183)) :rule bind)
-(step t47 (cl (not @p_183) (not @p_175) @p_184) :rule equiv_pos2)
-(step t48 (cl @p_184) :rule th_resolution :premises (t45 t46 t47))
-(anchor :step t49 :args ((:= (?v0 Real) veriT_vr24) (:= (?v1 Real) veriT_vr25) (:= (?v2 Real) veriT_vr26) (:= (?v3 Real) veriT_vr27)))
-(step t49.t1 (cl (! (= ?v0 veriT_vr24) :named @p_192)) :rule refl)
-(step t49.t2 (cl (! (= ?v1 veriT_vr25) :named @p_196)) :rule refl)
-(step t49.t3 (cl (= @p_186 (! (pair$ veriT_vr24 veriT_vr25) :named @p_187))) :rule cong :premises (t49.t1 t49.t2))
-(step t49.t4 (cl (! (= ?v2 veriT_vr26) :named @p_193)) :rule refl)
-(step t49.t5 (cl (! (= ?v3 veriT_vr27) :named @p_197)) :rule refl)
-(step t49.t6 (cl (= @p_188 (! (pair$ veriT_vr26 veriT_vr27) :named @p_189))) :rule cong :premises (t49.t4 t49.t5))
-(step t49.t7 (cl (= @p_190 (! (= @p_187 @p_189) :named @p_191))) :rule cong :premises (t49.t3 t49.t6))
-(step t49.t8 (cl @p_192) :rule refl)
-(step t49.t9 (cl @p_193) :rule refl)
-(step t49.t10 (cl (= @p_194 (! (= veriT_vr24 veriT_vr26) :named @p_195))) :rule cong :premises (t49.t8 t49.t9))
-(step t49.t11 (cl @p_196) :rule refl)
-(step t49.t12 (cl @p_197) :rule refl)
-(step t49.t13 (cl (= @p_198 (! (= veriT_vr25 veriT_vr27) :named @p_199))) :rule cong :premises (t49.t11 t49.t12))
-(step t49.t14 (cl (= @p_200 (! (and @p_195 @p_199) :named @p_201))) :rule cong :premises (t49.t10 t49.t13))
-(step t49.t15 (cl (= @p_202 (! (= @p_191 @p_201) :named @p_203))) :rule cong :premises (t49.t7 t49.t14))
-(step t49 (cl (! (= @p_185 (! (forall ((veriT_vr24 Real) (veriT_vr25 Real) (veriT_vr26 Real) (veriT_vr27 Real)) @p_203) :named @p_205)) :named @p_204)) :rule bind)
-(step t50 (cl (not @p_204) (not @p_185) @p_205) :rule equiv_pos2)
-(step t51 (cl @p_205) :rule th_resolution :premises (a10 t49 t50))
-(anchor :step t52 :args ((:= (veriT_vr24 Real) veriT_vr28) (:= (veriT_vr25 Real) veriT_vr29) (:= (veriT_vr26 Real) veriT_vr30) (:= (veriT_vr27 Real) veriT_vr31)))
-(step t52.t1 (cl (! (= veriT_vr24 veriT_vr28) :named @p_209)) :rule refl)
-(step t52.t2 (cl (! (= veriT_vr25 veriT_vr29) :named @p_212)) :rule refl)
-(step t52.t3 (cl (= @p_187 (! (pair$ veriT_vr28 veriT_vr29) :named @p_206))) :rule cong :premises (t52.t1 t52.t2))
-(step t52.t4 (cl (! (= veriT_vr26 veriT_vr30) :named @p_210)) :rule refl)
-(step t52.t5 (cl (! (= veriT_vr27 veriT_vr31) :named @p_213)) :rule refl)
-(step t52.t6 (cl (= @p_189 (! (pair$ veriT_vr30 veriT_vr31) :named @p_207))) :rule cong :premises (t52.t4 t52.t5))
-(step t52.t7 (cl (= @p_191 (! (= @p_206 @p_207) :named @p_208))) :rule cong :premises (t52.t3 t52.t6))
-(step t52.t8 (cl @p_209) :rule refl)
-(step t52.t9 (cl @p_210) :rule refl)
-(step t52.t10 (cl (= @p_195 (! (= veriT_vr28 veriT_vr30) :named @p_211))) :rule cong :premises (t52.t8 t52.t9))
-(step t52.t11 (cl @p_212) :rule refl)
-(step t52.t12 (cl @p_213) :rule refl)
-(step t52.t13 (cl (= @p_199 (! (= veriT_vr29 veriT_vr31) :named @p_214))) :rule cong :premises (t52.t11 t52.t12))
-(step t52.t14 (cl (= @p_201 (! (and @p_211 @p_214) :named @p_215))) :rule cong :premises (t52.t10 t52.t13))
-(step t52.t15 (cl (= @p_203 (! (= @p_208 @p_215) :named @p_216))) :rule cong :premises (t52.t7 t52.t14))
-(step t52 (cl (! (= @p_205 (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) @p_216) :named @p_218)) :named @p_217)) :rule bind)
-(step t53 (cl (not @p_217) (not @p_205) @p_218) :rule equiv_pos2)
-(step t54 (cl @p_218) :rule th_resolution :premises (t51 t52 t53))
-(step t55 (cl (! (= @p_219 (! (and @p_220 (! (not false) :named @p_228)) :named @p_222)) :named @p_221)) :rule bool_simplify)
-(step t56 (cl (! (not @p_221) :named @p_225) (! (not @p_219) :named @p_223) @p_222) :rule equiv_pos2)
-(step t57 (cl (not @p_223) @p_224) :rule not_not)
-(step t58 (cl @p_225 @p_224 @p_222) :rule th_resolution :premises (t57 t56))
-(step t59 (cl @p_222) :rule th_resolution :premises (a11 t55 t58))
-(step t60 (cl (! (= @p_222 (! (and @p_226 @p_227 @p_228) :named @p_230)) :named @p_229)) :rule ac_simp)
-(step t61 (cl (not @p_229) (not @p_222) @p_230) :rule equiv_pos2)
-(step t62 (cl @p_230) :rule th_resolution :premises (t59 t60 t61))
-(step t63 (cl (! (= @p_228 true) :named @p_291)) :rule not_simplify)
-(step t64 (cl (= @p_230 (! (and @p_226 @p_227 true) :named @p_231))) :rule cong :premises (t63))
-(step t65 (cl (= @p_231 @p_220)) :rule and_simplify)
-(step t66 (cl (! (= @p_230 @p_220) :named @p_232)) :rule trans :premises (t64 t65))
-(step t67 (cl (not @p_232) (not @p_230) @p_220) :rule equiv_pos2)
-(step t68 (cl @p_220) :rule th_resolution :premises (t62 t66 t67))
-(step t69 (cl @p_227) :rule and :premises (t68))
-(step t70 (cl (or (! (not @p_218) :named @p_233) (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) (or (not @p_208) @p_211)) :named @p_369))) :rule qnt_cnf)
-(step t71 (cl (not (! (not (! (not @p_161) :named @p_245)) :named @p_254)) @p_161) :rule not_not)
-(step t72 (cl (not (! (not (! (not @p_139) :named @p_256)) :named @p_276)) @p_139) :rule not_not)
-(step t73 (cl (not (! (not @p_233) :named @p_374)) @p_218) :rule not_not)
-(step t74 (cl (not (! (not (! (not @p_184) :named @p_234)) :named @p_243)) @p_184) :rule not_not)
-(step t75 (cl (or @p_234 (! (= (! (times$ (! (- 0.0) :named @p_238) d$) :named @p_239) (! (- (! (times$ 0.0 d$) :named @p_236)) :named @p_237)) :named @p_235))) :rule forall_inst :args ((:= veriT_vr22 0.0) (:= veriT_vr23 d$)))
-(anchor :step t76)
-(assume t76.h1 @p_235)
-(step t76.t2 (cl (! (= 0.0 @p_238) :named @p_249)) :rule minus_simplify)
-(step t76.t3 (cl (= @p_239 @p_236)) :rule cong :premises (t76.t2))
-(step t76.t4 (cl (! (= @p_235 (! (= @p_236 @p_237) :named @p_240)) :named @p_241)) :rule cong :premises (t76.t3))
-(step t76.t5 (cl (not @p_241) (! (not @p_235) :named @p_242) @p_240) :rule equiv_pos2)
-(step t76.t6 (cl @p_240) :rule th_resolution :premises (t76.h1 t76.t4 t76.t5))
-(step t76 (cl @p_242 @p_240) :rule subproof :discharge (h1))
-(step t77 (cl @p_234 @p_235) :rule or :premises (t75))
-(step t78 (cl (! (or @p_234 @p_240) :named @p_244) @p_243) :rule or_neg)
-(step t79 (cl @p_244 @p_184) :rule th_resolution :premises (t74 t78))
-(step t80 (cl @p_244 (! (not @p_240) :named @p_367)) :rule or_neg)
-(step t81 (cl @p_244) :rule th_resolution :premises (t77 t76 t79 t80))
-(step t82 (cl (or @p_245 (! (= (! (divide$ @p_238 2.0) :named @p_250) (! (- (! (divide$ 0.0 2.0) :named @p_247)) :named @p_248)) :named @p_246))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 2.0)))
-(anchor :step t83)
-(assume t83.h1 @p_246)
-(step t83.t2 (cl @p_249) :rule minus_simplify)
-(step t83.t3 (cl (= @p_250 @p_247)) :rule cong :premises (t83.t2))
-(step t83.t4 (cl (! (= @p_246 (! (= @p_247 @p_248) :named @p_251)) :named @p_252)) :rule cong :premises (t83.t3))
-(step t83.t5 (cl (not @p_252) (! (not @p_246) :named @p_253) @p_251) :rule equiv_pos2)
-(step t83.t6 (cl @p_251) :rule th_resolution :premises (t83.h1 t83.t4 t83.t5))
-(step t83 (cl @p_253 @p_251) :rule subproof :discharge (h1))
-(step t84 (cl @p_245 @p_246) :rule or :premises (t82))
-(step t85 (cl (! (or @p_245 @p_251) :named @p_255) @p_254) :rule or_neg)
-(step t86 (cl @p_255 @p_161) :rule th_resolution :premises (t71 t85))
-(step t87 (cl @p_255 (! (not @p_251) :named @p_350)) :rule or_neg)
-(step t88 (cl @p_255) :rule th_resolution :premises (t84 t83 t86 t87))
-(step t89 (cl (or @p_256 (! (= (! (< (! (divide$ @p_36 @p_36) :named @p_257) @p_257) :named @p_263) (! (and (! (=> (! (< 0.0 @p_36) :named @p_260) (! (< @p_36 @p_36) :named @p_258)) :named @p_264) (! (=> (! (< @p_36 0.0) :named @p_261) @p_258) :named @p_267) (! (not (! (= @p_36 0.0) :named @p_342)) :named @p_262)) :named @p_270)) :named @p_259))) :rule forall_inst :args ((:= veriT_vr13 @p_36) (:= veriT_vr14 @p_36) (:= veriT_vr15 @p_36)))
-(anchor :step t90)
-(assume t90.h1 @p_259)
-(step t90.t2 (cl (= @p_263 false)) :rule comp_simplify)
-(step t90.t3 (cl (= @p_258 false)) :rule comp_simplify)
-(step t90.t4 (cl (= @p_264 (! (=> @p_260 false) :named @p_265))) :rule cong :premises (t90.t3))
-(step t90.t5 (cl (= @p_265 (! (not @p_260) :named @p_266))) :rule implies_simplify)
-(step t90.t6 (cl (= @p_264 @p_266)) :rule trans :premises (t90.t4 t90.t5))
-(step t90.t7 (cl (= @p_267 (! (=> @p_261 false) :named @p_268))) :rule cong :premises (t90.t3))
-(step t90.t8 (cl (= @p_268 (! (not @p_261) :named @p_269))) :rule implies_simplify)
-(step t90.t9 (cl (= @p_267 @p_269)) :rule trans :premises (t90.t7 t90.t8))
-(step t90.t10 (cl (= @p_270 (! (and @p_266 @p_269 @p_262) :named @p_271))) :rule cong :premises (t90.t6 t90.t9))
-(step t90.t11 (cl (= @p_259 (! (= false @p_271) :named @p_272))) :rule cong :premises (t90.t2 t90.t10))
-(step t90.t12 (cl (= @p_272 (! (not @p_271) :named @p_273))) :rule equiv_simplify)
-(step t90.t13 (cl (! (= @p_259 @p_273) :named @p_274)) :rule trans :premises (t90.t11 t90.t12))
-(step t90.t14 (cl (not @p_274) (! (not @p_259) :named @p_275) @p_273) :rule equiv_pos2)
-(step t90.t15 (cl @p_273) :rule th_resolution :premises (t90.h1 t90.t13 t90.t14))
-(step t90 (cl @p_275 @p_273) :rule subproof :discharge (h1))
-(step t91 (cl @p_256 @p_259) :rule or :premises (t89))
-(step t92 (cl (! (or @p_256 @p_273) :named @p_277) @p_276) :rule or_neg)
-(step t93 (cl @p_277 @p_139) :rule th_resolution :premises (t72 t92))
-(step t94 (cl @p_277 (! (not @p_273) :named @p_278)) :rule or_neg)
-(step t95 (cl (not @p_278) @p_271) :rule not_not)
-(step t96 (cl @p_277 @p_271) :rule th_resolution :premises (t95 t94))
-(step t97 (cl @p_277) :rule th_resolution :premises (t91 t90 t93 t96))
-(step t98 (cl (or @p_256 (! (= (! (< @p_247 @p_3) :named @p_281) (! (and (! (=> (! (< 0.0 2.0) :named @p_282) @p_279) :named @p_283) (! (=> (! (< 2.0 0.0) :named @p_285) (! (< d$ 0.0) :named @p_287)) :named @p_286) (! (not (! (= 2.0 0.0) :named @p_289)) :named @p_290)) :named @p_292)) :named @p_280))) :rule forall_inst :args ((:= veriT_vr13 0.0) (:= veriT_vr14 2.0) (:= veriT_vr15 d$)))
-(anchor :step t99)
-(assume t99.h1 @p_280)
-(step t99.t2 (cl (= @p_282 true)) :rule comp_simplify)
-(step t99.t3 (cl (= @p_283 (! (=> true @p_279) :named @p_284))) :rule cong :premises (t99.t2))
-(step t99.t4 (cl (= @p_284 @p_279)) :rule implies_simplify)
-(step t99.t5 (cl (= @p_283 @p_279)) :rule trans :premises (t99.t3 t99.t4))
-(step t99.t6 (cl (= @p_285 false)) :rule comp_simplify)
-(step t99.t7 (cl (= @p_286 (! (=> false @p_287) :named @p_288))) :rule cong :premises (t99.t6))
-(step t99.t8 (cl (= @p_288 true)) :rule implies_simplify)
-(step t99.t9 (cl (= @p_286 true)) :rule trans :premises (t99.t7 t99.t8))
-(step t99.t10 (cl (= @p_289 false)) :rule eq_simplify)
-(step t99.t11 (cl (= @p_290 @p_228)) :rule cong :premises (t99.t10))
-(step t99.t12 (cl @p_291) :rule not_simplify)
-(step t99.t13 (cl (= @p_290 true)) :rule trans :premises (t99.t11 t99.t12))
-(step t99.t14 (cl (= @p_292 (! (and @p_279 true true) :named @p_293))) :rule cong :premises (t99.t5 t99.t9 t99.t13))
-(step t99.t15 (cl (= @p_293 (! (and @p_279) :named @p_294))) :rule and_simplify)
-(step t99.t16 (cl (= @p_294 @p_279)) :rule and_simplify)
-(step t99.t17 (cl (= @p_292 @p_279)) :rule trans :premises (t99.t14 t99.t15 t99.t16))
-(step t99.t18 (cl (! (= @p_280 (! (= @p_281 @p_279) :named @p_295)) :named @p_296)) :rule cong :premises (t99.t17))
-(step t99.t19 (cl (not @p_296) (! (not @p_280) :named @p_297) @p_295) :rule equiv_pos2)
-(step t99.t20 (cl @p_295) :rule th_resolution :premises (t99.h1 t99.t18 t99.t19))
-(step t99 (cl @p_297 @p_295) :rule subproof :discharge (h1))
-(step t100 (cl @p_256 @p_280) :rule or :premises (t98))
-(step t101 (cl (! (or @p_256 @p_295) :named @p_298) @p_276) :rule or_neg)
-(step t102 (cl @p_298 @p_139) :rule th_resolution :premises (t72 t101))
-(step t103 (cl @p_298 (! (not @p_295) :named @p_343)) :rule or_neg)
-(step t104 (cl @p_298) :rule th_resolution :premises (t100 t99 t102 t103))
-(step t105 (cl (not (! (not (! (not @p_84) :named @p_299)) :named @p_312)) @p_84) :rule not_not)
-(step t106 (cl (or @p_299 (! (= @p_36 (! (- @p_3 (! (ite (! (< @p_2 0.0) :named @p_301) (! (- @p_2) :named @p_303) @p_2) :named @p_304)) :named @p_305)) :named @p_300))) :rule forall_inst :args ((:= veriT_vr9 @p_2)))
-(anchor :step t107)
-(assume t107.h1 @p_300)
-(step t107.t2 (cl (= @p_3 @p_303)) :rule minus_simplify)
-(step t107.t3 (cl (= @p_304 (! (ite @p_301 @p_3 @p_2) :named @p_302))) :rule cong :premises (t107.t2))
-(step t107.t4 (cl (= @p_305 (! (- @p_3 @p_302) :named @p_306))) :rule cong :premises (t107.t3))
-(step t107.t5 (cl (! (= @p_300 (! (= @p_36 @p_306) :named @p_309)) :named @p_307)) :rule cong :premises (t107.t4))
-(step t107.t6 (cl (not @p_307) (! (not @p_300) :named @p_308) @p_309) :rule equiv_pos2)
-(step t107.t7 (cl @p_309) :rule th_resolution :premises (t107.h1 t107.t5 t107.t6))
-(step t107.t8 (cl (! (= @p_309 (! (and (! (= @p_36 (- @p_3 @p_302)) :named @p_345) (! (ite @p_301 (! (= @p_3 @p_302) :named @p_347) (= @p_2 @p_302)) :named @p_346)) :named @p_310)) :named @p_311)) :rule ite_intro)
-(step t107.t9 (cl (not @p_311) (not @p_309) @p_310) :rule equiv_pos2)
-(step t107.t10 (cl @p_310) :rule th_resolution :premises (t107.t7 t107.t8 t107.t9))
-(step t107 (cl @p_308 @p_310) :rule subproof :discharge (h1))
-(step t108 (cl @p_299 @p_300) :rule or :premises (t106))
-(step t109 (cl (! (or @p_299 @p_310) :named @p_313) @p_312) :rule or_neg)
-(step t110 (cl @p_313 @p_84) :rule th_resolution :premises (t105 t109))
-(step t111 (cl @p_313 (! (not @p_310) :named @p_344)) :rule or_neg)
-(step t112 (cl @p_313) :rule th_resolution :premises (t108 t107 t110 t111))
-(step t113 (cl (or @p_299 (! (= (! (diamond_y$ 0.0) :named @p_315) (! (- @p_3 (! (ite (! (< 0.0 0.0) :named @p_316) @p_238 0.0) :named @p_317)) :named @p_319)) :named @p_314))) :rule forall_inst :args ((:= veriT_vr9 0.0)))
-(anchor :step t114)
-(assume t114.h1 @p_314)
-(step t114.t2 (cl (= @p_316 false)) :rule comp_simplify)
-(step t114.t3 (cl @p_249) :rule minus_simplify)
-(step t114.t4 (cl (= @p_317 (! (ite false 0.0 0.0) :named @p_318))) :rule cong :premises (t114.t2 t114.t3))
-(step t114.t5 (cl (= 0.0 @p_318)) :rule ite_simplify)
-(step t114.t6 (cl (= 0.0 @p_317)) :rule trans :premises (t114.t4 t114.t5))
-(step t114.t7 (cl (= @p_319 (! (- @p_3 0.0) :named @p_320))) :rule cong :premises (t114.t6))
-(step t114.t8 (cl (= @p_3 @p_320)) :rule minus_simplify)
-(step t114.t9 (cl (= @p_3 @p_319)) :rule trans :premises (t114.t7 t114.t8))
-(step t114.t10 (cl (! (= @p_314 (! (= @p_3 @p_315) :named @p_321)) :named @p_322)) :rule cong :premises (t114.t9))
-(step t114.t11 (cl (not @p_322) (! (not @p_314) :named @p_323) @p_321) :rule equiv_pos2)
-(step t114.t12 (cl @p_321) :rule th_resolution :premises (t114.h1 t114.t10 t114.t11))
-(step t114 (cl @p_323 @p_321) :rule subproof :discharge (h1))
-(step t115 (cl @p_299 @p_314) :rule or :premises (t113))
-(step t116 (cl (! (or @p_299 @p_321) :named @p_324) @p_312) :rule or_neg)
-(step t117 (cl @p_324 @p_84) :rule th_resolution :premises (t105 t116))
-(step t118 (cl @p_324 (! (not @p_321) :named @p_359)) :rule or_neg)
-(step t119 (cl @p_324) :rule th_resolution :premises (t115 t114 t117 t118))
-(step t120 (cl (or (! (not @p_60) :named @p_348) (! (= (! (fun_app$ uub$ @p_7) :named @p_379) (! (pair$ @p_2 (! (times$ (- (* 2.0 @p_7) 1.0) @p_36) :named @p_371)) :named @p_370)) :named @p_349))) :rule forall_inst :args ((:= veriT_vr7 @p_7)))
-(step t121 (cl (or (! (not @p_34) :named @p_336) (! (= (! (fun_app$ uuc$ @p_7) :named @p_327) (! (pair$ (! (times$ (! (- @p_7 @p_7) :named @p_328) d$) :named @p_325) (! (diamond_y$ @p_325) :named @p_329)) :named @p_331)) :named @p_326))) :rule forall_inst :args ((:= veriT_vr1 @p_7)))
-(anchor :step t122)
-(assume t122.h1 @p_326)
-(step t122.t2 (cl (= 0.0 @p_328)) :rule minus_simplify)
-(step t122.t3 (cl (= @p_236 @p_325)) :rule cong :premises (t122.t2))
-(step t122.t4 (cl (= @p_329 (! (diamond_y$ @p_236) :named @p_330))) :rule cong :premises (t122.t3))
-(step t122.t5 (cl (= @p_331 (! (pair$ @p_236 @p_330) :named @p_332))) :rule cong :premises (t122.t3 t122.t4))
-(step t122.t6 (cl (! (= @p_326 (! (= @p_327 @p_332) :named @p_333)) :named @p_334)) :rule cong :premises (t122.t5))
-(step t122.t7 (cl (not @p_334) (! (not @p_326) :named @p_335) @p_333) :rule equiv_pos2)
-(step t122.t8 (cl @p_333) :rule th_resolution :premises (t122.h1 t122.t6 t122.t7))
-(step t122 (cl @p_335 @p_333) :rule subproof :discharge (h1))
-(step t123 (cl @p_336 @p_326) :rule or :premises (t121))
-(step t124 (cl (! (or @p_336 @p_333) :named @p_338) (! (not @p_336) :named @p_337)) :rule or_neg)
-(step t125 (cl (not @p_337) @p_34) :rule not_not)
-(step t126 (cl @p_338 @p_34) :rule th_resolution :premises (t125 t124))
-(step t127 (cl @p_338 (! (not @p_333) :named @p_380)) :rule or_neg)
-(step t128 (cl @p_338) :rule th_resolution :premises (t123 t122 t126 t127))
-(step t129 (cl @p_234 @p_240) :rule or :premises (t81))
-(step t130 (cl @p_240) :rule resolution :premises (t129 t48))
-(step t131 (cl @p_245 @p_251) :rule or :premises (t88))
-(step t132 (cl @p_251) :rule resolution :premises (t131 t42))
-(step t133 (cl @p_271 (! (not @p_266) :named @p_339) (! (not @p_269) :named @p_340) (! (not @p_262) :named @p_341)) :rule and_neg)
-(step t134 (cl (not @p_339) @p_260) :rule not_not)
-(step t135 (cl @p_271 @p_260 @p_340 @p_341) :rule th_resolution :premises (t134 t133))
-(step t136 (cl (not @p_340) @p_261) :rule not_not)
-(step t137 (cl @p_271 @p_260 @p_261 @p_341) :rule th_resolution :premises (t136 t135))
-(step t138 (cl (not @p_341) @p_342) :rule not_not)
-(step t139 (cl @p_271 @p_260 @p_261 @p_342) :rule th_resolution :premises (t138 t137))
-(step t140 (cl @p_256 @p_273) :rule or :premises (t97))
-(step t141 (cl @p_273) :rule resolution :premises (t140 t36))
-(step t142 (cl @p_343 @p_281 (not @p_279)) :rule equiv_pos1)
-(step t143 (cl @p_256 @p_295) :rule or :premises (t104))
-(step t144 (cl @p_343 @p_281) :rule resolution :premises (t142 a4))
-(step t145 (cl @p_295) :rule resolution :premises (t143 t36))
-(step t146 (cl @p_281) :rule resolution :premises (t144 t145))
-(step t147 (cl @p_344 @p_345) :rule and_pos)
-(step t148 (cl (not @p_346) (not @p_301) @p_347) :rule ite_pos2)
-(step t149 (cl @p_344 @p_346) :rule and_pos)
-(step t150 (cl @p_299 @p_310) :rule or :premises (t112))
-(step t151 (cl @p_310) :rule resolution :premises (t150 t27))
-(step t152 (cl @p_345) :rule resolution :premises (t147 t151))
-(step t153 (cl @p_346) :rule resolution :premises (t149 t151))
-(step t154 (cl @p_299 @p_321) :rule or :premises (t119))
-(step t155 (cl @p_321) :rule resolution :premises (t154 t27))
-(step t156 (cl @p_348 @p_349) :rule or :premises (t120))
-(step t157 (cl @p_349) :rule resolution :premises (t156 t21))
-(step t158 (cl @p_336 @p_333) :rule or :premises (t128))
-(step t159 (cl @p_333) :rule resolution :premises (t158 t15))
-(step t160 (cl (! (not @p_281) :named @p_352) (! (<= @p_2 @p_3) :named @p_351) @p_350) :rule la_generic :args (2.0 1.0 1))
-(step t161 (cl @p_351) :rule resolution :premises (t160 t132 t146))
-(step t162 (cl @p_352 (! (not (! (<= @p_3 @p_2) :named @p_355)) :named @p_353) @p_350) :rule la_generic :args (2.0 1.0 1))
-(step t163 (cl @p_353) :rule resolution :premises (t162 t132 t146))
-(step t164 (cl (! (not (! (= @p_3 @p_2) :named @p_360)) :named @p_354) @p_354 (! (not @p_351) :named @p_356) @p_355) :rule eq_congruent_pred)
-(step t165 (cl @p_354 @p_356 @p_355) :rule contraction :premises (t164))
-(step t166 (cl @p_354) :rule resolution :premises (t165 t163 t161))
-(step t167 (cl @p_352 @p_301 @p_350) :rule la_generic :args (2.0 2.0 1))
-(step t168 (cl @p_301) :rule resolution :premises (t167 t132 t146))
-(step t169 (cl @p_347) :rule resolution :premises (t148 t168 t153))
-(step t170 (cl (! (= @p_2 @p_2) :named @p_386)) :rule eq_reflexive)
-(step t171 (cl @p_266 (! (not @p_345) :named @p_357) (! (not @p_347) :named @p_358)) :rule la_generic :args (1.0 (- 1) (- 1)))
-(step t172 (cl @p_266) :rule resolution :premises (t171 t152 t169))
-(step t173 (cl @p_269 @p_357 @p_358) :rule la_generic :args (1.0 1 1))
-(step t174 (cl @p_269) :rule resolution :premises (t173 t152 t169))
-(step t175 (cl @p_342) :rule resolution :premises (t139 t174 t141 t172))
-(step t176 (cl (! (= @p_7 @p_7) :named @p_382)) :rule eq_reflexive)
-(step t177 (cl @p_359 (not (! (= @p_36 @p_315) :named @p_362)) @p_262 (! (not (! (= @p_2 0.0) :named @p_388)) :named @p_361) @p_360) :rule eq_transitive)
-(step t178 (cl @p_361 @p_362) :rule eq_congruent)
-(step t179 (cl @p_359 @p_262 @p_361 @p_360 @p_361) :rule th_resolution :premises (t177 t178))
-(step t180 (cl @p_359 @p_262 @p_361 @p_360) :rule contraction :premises (t179))
-(step t181 (cl @p_361) :rule resolution :premises (t180 t175 t155 t166))
-(step t182 (cl (or (! (= @p_36 @p_236) :named @p_363) (! (not (! (<= @p_36 @p_236) :named @p_366)) :named @p_364) (! (not (! (<= @p_236 @p_36) :named @p_368)) :named @p_365))) :rule la_disequality)
-(step t183 (cl @p_363 @p_364 @p_365) :rule or :premises (t182))
-(step t184 (cl @p_366 @p_367 @p_357 @p_358) :rule la_generic :args (2.0 1 (- 2) (- 2)))
-(step t185 (cl @p_366) :rule resolution :premises (t184 t130 t152 t169))
-(step t186 (cl @p_368 @p_367 @p_357 @p_358) :rule la_generic :args (2.0 (- 1) 2 2))
-(step t187 (cl @p_368) :rule resolution :premises (t186 t130 t152 t169))
-(step t188 (cl @p_363) :rule resolution :premises (t183 t187 t185))
-(step t189 (cl (! (not @p_363) :named @p_391) @p_262 (! (= 0.0 @p_236) :named @p_387)) :rule eq_transitive)
-(step t190 (cl @p_233 @p_369) :rule or :premises (t70))
-(step t191 (cl (or (! (not @p_369) :named @p_372) (! (or (! (not (! (= @p_370 @p_332) :named @p_381)) :named @p_377) (! (= @p_2 @p_236) :named @p_378)) :named @p_373))) :rule forall_inst :args ((:= veriT_vr28 @p_236) (:= veriT_vr29 @p_330) (:= veriT_vr30 @p_2) (:= veriT_vr31 @p_371)))
-(step t192 (cl @p_372 @p_373) :rule or :premises (t191))
-(step t193 (cl (! (or @p_233 @p_373) :named @p_375) @p_374) :rule or_neg)
-(step t194 (cl @p_375 @p_218) :rule th_resolution :premises (t73 t193))
-(step t195 (cl @p_375 (! (not @p_373) :named @p_376)) :rule or_neg)
-(step t196 (cl @p_375) :rule th_resolution :premises (t190 t192 t194 t195))
-(step t197 (cl @p_376 @p_377 @p_378) :rule or_pos)
-(step t198 (cl @p_233 @p_373) :rule or :premises (t196))
-(step t199 (cl @p_373) :rule resolution :premises (t198 t54))
-(step t200 (cl (! (not @p_349) :named @p_385) (not (! (= @p_379 @p_327) :named @p_383)) @p_380 @p_381) :rule eq_transitive)
-(step t201 (cl (! (not @p_227) :named @p_384) (not @p_382) @p_383) :rule eq_congruent)
-(step t202 (cl @p_384 @p_383) :rule th_resolution :premises (t201 t176))
-(step t203 (cl @p_385 @p_380 @p_381 @p_384) :rule th_resolution :premises (t200 t202))
-(step t204 (cl @p_381) :rule resolution :premises (t203 t69 t157 t159))
-(step t205 (cl (not @p_386) (! (not @p_378) :named @p_389) (! (not @p_387) :named @p_390) @p_388) :rule eq_transitive)
-(step t206 (cl @p_389 @p_390 @p_388) :rule th_resolution :premises (t205 t170))
-(step t207 (cl @p_389 @p_388 @p_391 @p_262) :rule th_resolution :premises (t206 t189))
-(step t208 (cl @p_389) :rule resolution :premises (t207 t175 t181 t188))
-(step t209 (cl) :rule resolution :premises (t197 t204 t199 t208))
-64700034c370281d48d21e99833e7ceba6103960 26 0
-unsat
-(assume a0 (! (forall ((?v0 A$) (?v1 B$) (?v2 C$)) (! (p$ ?v0 ?v1) :named @p_2)) :named @p_1))
-(assume a1 (! (=> (! (p$ z$ y$) :named @p_12) false) :named @p_11))
+(assume axiom0 (! (forall ((?v0 A$) (?v1 B$) (?v2 C$)) (! (p$ ?v0 ?v1) :named @p_2)) :named @p_1))
+(assume axiom1 (! (=> (! (p$ z$ y$) :named @p_12) false) :named @p_11))
 (step t3 (cl (! (= @p_1 (! (forall ((?v0 A$) (?v1 B$)) @p_2) :named @p_4)) :named @p_3)) :rule qnt_rm_unused)
 (step t4 (cl (not @p_3) (not @p_1) @p_4) :rule equiv_pos2)
-(step t5 (cl @p_4) :rule th_resolution :premises (a0 t3 t4))
+(step t5 (cl @p_4) :rule th_resolution :premises (axiom0 t3 t4))
 (anchor :step t6 :args ((:= (?v0 A$) veriT_vr0) (:= (?v1 B$) veriT_vr1)))
 (step t6.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
 (step t6.t2 (cl (= ?v1 veriT_vr1)) :rule refl)
@@ -6800,18 +6047,18 @@
 (step t11 (cl @p_10) :rule th_resolution :premises (t8 t9 t10))
 (step t12 (cl (! (= @p_11 (! (not @p_12) :named @p_14)) :named @p_13)) :rule implies_simplify)
 (step t13 (cl (not @p_13) (not @p_11) @p_14) :rule equiv_pos2)
-(step t14 (cl @p_14) :rule th_resolution :premises (a1 t12 t13))
+(step t14 (cl @p_14) :rule th_resolution :premises (axiom1 t12 t13))
 (step t15 (cl (or (! (not @p_10) :named @p_15) @p_12)) :rule forall_inst :args ((:= veriT_vr2 z$) (:= veriT_vr3 y$)))
 (step t16 (cl @p_15 @p_12) :rule or :premises (t15))
 (step t17 (cl) :rule resolution :premises (t16 t11 t14))
-732d0d825854417fe8b0c85959caf9624dd11670 23 0
+d91a4d59e816a47672957ce0be20acd9aa3eef3e 23 0
 unsat
-(assume a0 (! (not (! (<= y$ (! (ite (! (<= x$ y$) :named @p_3) y$ x$) :named @p_2)) :named @p_7)) :named @p_1))
+(assume axiom0 (! (not (! (<= y$ (! (ite (! (<= x$ y$) :named @p_3) y$ x$) :named @p_2)) :named @p_7)) :named @p_1))
 (step t2 (cl (! (= @p_1 (! (and (! (not (! (<= y$ @p_2) :named @p_13)) :named @p_9) (! (ite @p_3 (! (= y$ @p_2) :named @p_12) (! (= x$ @p_2) :named @p_11)) :named @p_10)) :named @p_5)) :named @p_4)) :rule ite_intro)
 (step t3 (cl (! (not @p_4) :named @p_8) (! (not @p_1) :named @p_6) @p_5) :rule equiv_pos2)
 (step t4 (cl (not @p_6) @p_7) :rule not_not)
 (step t5 (cl @p_8 @p_7 @p_5) :rule th_resolution :premises (t4 t3))
-(step t6 (cl @p_5) :rule th_resolution :premises (a0 t2 t5))
+(step t6 (cl @p_5) :rule th_resolution :premises (axiom0 t2 t5))
 (step t7 (cl @p_9) :rule and :premises (t6))
 (step t8 (cl @p_10) :rule and :premises (t6))
 (step t9 (cl @p_3 @p_11) :rule ite1 :premises (t8))
@@ -6828,24 +6075,24 @@
 (step t20 (cl @p_12) :rule resolution :premises (t10 t19))
 (step t21 (cl @p_13 @p_16) :rule la_generic :args (1 (- 1)))
 (step t22 (cl) :rule resolution :premises (t21 t7 t20))
-f79704028180f39e90d9e958e4416fd1e60a60df 567 0
+47bc3239fb0fd8c5f8f4969f0c6c1996f0a21574 567 0
 unsat
 (define-fun veriT_sk0 () A$ (! (choice ((veriT_vr145 A$)) (not (! (not (! (and (! (= (! (arg_min_on$ f$ (! (image$b g$ b$) :named @p_6)) :named @p_336) (! (fun_app$b g$ veriT_vr145) :named @p_378)) :named @p_379) (! (member$a veriT_vr145 b$) :named @p_381)) :named @p_382)) :named @p_377))) :named @p_357))
-(assume a29 (! (forall ((?v0 B_set$) (?v1 B_c_fun$)) (! (=> (! (and (! (finite$ ?v0) :named @p_1) (! (not (! (= ?v0 bot$) :named @p_10)) :named @p_2)) :named @p_13) (! (member$ (! (arg_min_on$ ?v1 ?v0) :named @p_15) ?v0) :named @p_17)) :named @p_19)) :named @p_7))
-(assume a31 (! (forall ((?v0 B_set$) (?v1 B$) (?v2 B_c_fun$)) (! (=> (! (and @p_1 (! (and @p_2 (! (member$ ?v1 ?v0) :named @p_38)) :named @p_40)) :named @p_42) (! (less_eq$ (! (fun_app$ ?v2 (! (arg_min_on$ ?v2 ?v0) :named @p_45)) :named @p_47) (! (fun_app$ ?v2 ?v1) :named @p_50)) :named @p_52)) :named @p_54)) :named @p_33))
-(assume a33 (! (forall ((?v0 B_c_fun$) (?v1 A_b_fun$) (?v2 A$)) (! (= (! (fun_app$a (! (comp$ ?v0 ?v1) :named @p_78) ?v2) :named @p_80) (! (fun_app$ ?v0 (! (fun_app$b ?v1 ?v2) :named @p_3)) :named @p_86)) :named @p_88)) :named @p_77))
-(assume a36 (! (forall ((?v0 A_set$) (?v1 A_b_fun$)) (! (=> (! (finite$a ?v0) :named @p_103) (! (finite$ (! (image$b ?v1 ?v0) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_102))
-(assume a40 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A_set$)) (! (=> (! (and (! (member$ ?v0 (! (image$b ?v1 ?v2) :named @p_122)) :named @p_124) (! (forall ((?v3 A$)) (! (=> (! (and (! (= ?v0 (! (fun_app$b ?v1 ?v3) :named @p_130)) :named @p_132) (! (member$a ?v3 ?v2) :named @p_136)) :named @p_138) false) :named @p_140)) :named @p_126)) :named @p_142) false) :named @p_144)) :named @p_121))
-(assume a44 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A$) (?v3 A_set$)) (! (=> (! (and (! (= @p_3 ?v0) :named @p_173) (! (member$a ?v2 ?v3) :named @p_176)) :named @p_178) (! (member$ ?v0 (! (image$b ?v1 ?v3) :named @p_183)) :named @p_185)) :named @p_187)) :named @p_171))
-(assume a48 (! (forall ((?v0 A_b_fun$) (?v1 A_set$)) (! (= (! (= bot$ (! (image$b ?v0 ?v1) :named @p_205)) :named @p_207) (! (= bot$a ?v1) :named @p_210)) :named @p_212)) :named @p_204))
-(assume a50 (! (forall ((?v0 B_c_fun$) (?v1 B_set$) (?v2 B$) (?v3 B$)) (! (=> (! (and (! (inj_on$ ?v0 ?v1) :named @p_224) (! (and (! (= (! (fun_app$ ?v0 ?v2) :named @p_227) (! (fun_app$ ?v0 ?v3) :named @p_229)) :named @p_231) (! (and (! (member$ ?v2 ?v1) :named @p_235) (! (member$ ?v3 ?v1) :named @p_238)) :named @p_240)) :named @p_242)) :named @p_244) (! (= ?v3 ?v2) :named @p_246)) :named @p_248)) :named @p_223))
-(assume a51 (! (forall ((?v0 C$) (?v1 C$)) (! (= (! (less$ ?v0 ?v1) :named @p_272) (! (and (! (less_eq$ ?v0 ?v1) :named @p_276) (! (not (! (= ?v0 ?v1) :named @p_278)) :named @p_280)) :named @p_282)) :named @p_284)) :named @p_271))
-(assume a23 (! (inj_on$ f$ @p_6) :named @p_353))
-(assume a24 (! (finite$a b$) :named @p_332))
-(assume a25 (not (! (= bot$a b$) :named @p_331)))
-(assume a26 (! (member$a (! (arg_min_on$a (! (comp$ f$ g$) :named @p_4) b$) :named @p_5) b$) :named @p_423))
-(assume a27 (! (not (! (exists ((?v0 A$)) (! (and (! (member$a ?v0 b$) :named @p_300) (! (less$ (! (fun_app$a @p_4 ?v0) :named @p_303) (! (fun_app$a @p_4 @p_5) :named @p_299)) :named @p_305)) :named @p_307)) :named @p_298)) :named @p_309))
-(assume a52 (not (! (= @p_336 (! (fun_app$b g$ @p_5) :named @p_333)) :named @p_355)))
+(assume axiom29 (! (forall ((?v0 B_set$) (?v1 B_c_fun$)) (! (=> (! (and (! (finite$ ?v0) :named @p_1) (! (not (! (= ?v0 bot$) :named @p_10)) :named @p_2)) :named @p_13) (! (member$ (! (arg_min_on$ ?v1 ?v0) :named @p_15) ?v0) :named @p_17)) :named @p_19)) :named @p_7))
+(assume axiom31 (! (forall ((?v0 B_set$) (?v1 B$) (?v2 B_c_fun$)) (! (=> (! (and @p_1 (! (and @p_2 (! (member$ ?v1 ?v0) :named @p_38)) :named @p_40)) :named @p_42) (! (less_eq$ (! (fun_app$ ?v2 (! (arg_min_on$ ?v2 ?v0) :named @p_45)) :named @p_47) (! (fun_app$ ?v2 ?v1) :named @p_50)) :named @p_52)) :named @p_54)) :named @p_33))
+(assume axiom33 (! (forall ((?v0 B_c_fun$) (?v1 A_b_fun$) (?v2 A$)) (! (= (! (fun_app$a (! (comp$ ?v0 ?v1) :named @p_78) ?v2) :named @p_80) (! (fun_app$ ?v0 (! (fun_app$b ?v1 ?v2) :named @p_3)) :named @p_86)) :named @p_88)) :named @p_77))
+(assume axiom36 (! (forall ((?v0 A_set$) (?v1 A_b_fun$)) (! (=> (! (finite$a ?v0) :named @p_103) (! (finite$ (! (image$b ?v1 ?v0) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_102))
+(assume axiom40 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A_set$)) (! (=> (! (and (! (member$ ?v0 (! (image$b ?v1 ?v2) :named @p_122)) :named @p_124) (! (forall ((?v3 A$)) (! (=> (! (and (! (= ?v0 (! (fun_app$b ?v1 ?v3) :named @p_130)) :named @p_132) (! (member$a ?v3 ?v2) :named @p_136)) :named @p_138) false) :named @p_140)) :named @p_126)) :named @p_142) false) :named @p_144)) :named @p_121))
+(assume axiom44 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A$) (?v3 A_set$)) (! (=> (! (and (! (= @p_3 ?v0) :named @p_173) (! (member$a ?v2 ?v3) :named @p_176)) :named @p_178) (! (member$ ?v0 (! (image$b ?v1 ?v3) :named @p_183)) :named @p_185)) :named @p_187)) :named @p_171))
+(assume axiom48 (! (forall ((?v0 A_b_fun$) (?v1 A_set$)) (! (= (! (= bot$ (! (image$b ?v0 ?v1) :named @p_205)) :named @p_207) (! (= bot$a ?v1) :named @p_210)) :named @p_212)) :named @p_204))
+(assume axiom50 (! (forall ((?v0 B_c_fun$) (?v1 B_set$) (?v2 B$) (?v3 B$)) (! (=> (! (and (! (inj_on$ ?v0 ?v1) :named @p_224) (! (and (! (= (! (fun_app$ ?v0 ?v2) :named @p_227) (! (fun_app$ ?v0 ?v3) :named @p_229)) :named @p_231) (! (and (! (member$ ?v2 ?v1) :named @p_235) (! (member$ ?v3 ?v1) :named @p_238)) :named @p_240)) :named @p_242)) :named @p_244) (! (= ?v3 ?v2) :named @p_246)) :named @p_248)) :named @p_223))
+(assume axiom51 (! (forall ((?v0 C$) (?v1 C$)) (! (= (! (less$ ?v0 ?v1) :named @p_272) (! (and (! (less_eq$ ?v0 ?v1) :named @p_276) (! (not (! (= ?v0 ?v1) :named @p_278)) :named @p_280)) :named @p_282)) :named @p_284)) :named @p_271))
+(assume axiom23 (! (inj_on$ f$ @p_6) :named @p_353))
+(assume axiom24 (! (finite$a b$) :named @p_332))
+(assume axiom25 (not (! (= bot$a b$) :named @p_331)))
+(assume axiom26 (! (member$a (! (arg_min_on$a (! (comp$ f$ g$) :named @p_4) b$) :named @p_5) b$) :named @p_423))
+(assume axiom27 (! (not (! (exists ((?v0 A$)) (! (and (! (member$a ?v0 b$) :named @p_300) (! (less$ (! (fun_app$a @p_4 ?v0) :named @p_303) (! (fun_app$a @p_4 @p_5) :named @p_299)) :named @p_305)) :named @p_307)) :named @p_298)) :named @p_309))
+(assume axiom52 (not (! (= @p_336 (! (fun_app$b g$ @p_5) :named @p_333)) :named @p_355)))
 (anchor :step t16 :args ((:= (?v0 B_set$) veriT_vr0) (:= (?v1 B_c_fun$) veriT_vr1)))
 (step t16.t1 (cl (! (= ?v0 veriT_vr0) :named @p_9)) :rule refl)
 (step t16.t2 (cl (= @p_1 (! (finite$ veriT_vr0) :named @p_8))) :rule cong :premises (t16.t1))
@@ -6861,7 +6108,7 @@
 (step t16.t12 (cl (= @p_19 (! (=> @p_14 @p_18) :named @p_20))) :rule cong :premises (t16.t6 t16.t11))
 (step t16 (cl (! (= @p_7 (! (forall ((veriT_vr0 B_set$) (veriT_vr1 B_c_fun$)) @p_20) :named @p_22)) :named @p_21)) :rule bind)
 (step t17 (cl (not @p_21) (not @p_7) @p_22) :rule equiv_pos2)
-(step t18 (cl @p_22) :rule th_resolution :premises (a29 t16 t17))
+(step t18 (cl @p_22) :rule th_resolution :premises (axiom29 t16 t17))
 (anchor :step t19 :args ((:= (veriT_vr0 B_set$) veriT_vr2) (:= (veriT_vr1 B_c_fun$) veriT_vr3)))
 (step t19.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_24)) :rule refl)
 (step t19.t2 (cl (= @p_8 (! (finite$ veriT_vr2) :named @p_23))) :rule cong :premises (t19.t1))
@@ -6901,7 +6148,7 @@
 (step t22.t20 (cl (= @p_54 (! (=> @p_43 @p_53) :named @p_55))) :rule cong :premises (t22.t10 t22.t19))
 (step t22 (cl (! (= @p_33 (! (forall ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)) @p_55) :named @p_57)) :named @p_56)) :rule bind)
 (step t23 (cl (not @p_56) (not @p_33) @p_57) :rule equiv_pos2)
-(step t24 (cl @p_57) :rule th_resolution :premises (a31 t22 t23))
+(step t24 (cl @p_57) :rule th_resolution :premises (axiom31 t22 t23))
 (anchor :step t25 :args ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)))
 (step t25.t1 (cl (= @p_43 (! (and @p_34 @p_37 @p_39) :named @p_58))) :rule ac_simp)
 (step t25.t2 (cl (= @p_55 (! (=> @p_58 @p_53) :named @p_59))) :rule cong :premises (t25.t1))
@@ -6945,7 +6192,7 @@
 (step t31.t11 (cl (= @p_88 (! (= @p_81 @p_87) :named @p_89))) :rule cong :premises (t31.t5 t31.t10))
 (step t31 (cl (! (= @p_77 (! (forall ((veriT_vr20 B_c_fun$) (veriT_vr21 A_b_fun$) (veriT_vr22 A$)) @p_89) :named @p_91)) :named @p_90)) :rule bind)
 (step t32 (cl (not @p_90) (not @p_77) @p_91) :rule equiv_pos2)
-(step t33 (cl @p_91) :rule th_resolution :premises (a33 t31 t32))
+(step t33 (cl @p_91) :rule th_resolution :premises (axiom33 t31 t32))
 (anchor :step t34 :args ((:= (veriT_vr20 B_c_fun$) veriT_vr23) (:= (veriT_vr21 A_b_fun$) veriT_vr24) (:= (veriT_vr22 A$) veriT_vr25)))
 (step t34.t1 (cl (! (= veriT_vr20 veriT_vr23) :named @p_94)) :rule refl)
 (step t34.t2 (cl (! (= veriT_vr21 veriT_vr24) :named @p_95)) :rule refl)
@@ -6971,7 +6218,7 @@
 (step t37.t7 (cl (= @p_110 (! (=> @p_104 @p_109) :named @p_111))) :rule cong :premises (t37.t2 t37.t6))
 (step t37 (cl (! (= @p_102 (! (forall ((veriT_vr34 A_set$) (veriT_vr35 A_b_fun$)) @p_111) :named @p_113)) :named @p_112)) :rule bind)
 (step t38 (cl (not @p_112) (not @p_102) @p_113) :rule equiv_pos2)
-(step t39 (cl @p_113) :rule th_resolution :premises (a36 t37 t38))
+(step t39 (cl @p_113) :rule th_resolution :premises (axiom36 t37 t38))
 (anchor :step t40 :args ((:= (veriT_vr34 A_set$) veriT_vr36) (:= (veriT_vr35 A_b_fun$) veriT_vr37)))
 (step t40.t1 (cl (! (= veriT_vr34 veriT_vr36) :named @p_115)) :rule refl)
 (step t40.t2 (cl (= @p_104 (! (finite$a veriT_vr36) :named @p_114))) :rule cong :premises (t40.t1))
@@ -7005,7 +6252,7 @@
 (step t43.t8 (cl (= @p_144 (! (=> @p_143 false) :named @p_145))) :rule cong :premises (t43.t7))
 (step t43 (cl (! (= @p_121 (! (forall ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)) @p_145) :named @p_147)) :named @p_146)) :rule bind)
 (step t44 (cl (not @p_146) (not @p_121) @p_147) :rule equiv_pos2)
-(step t45 (cl @p_147) :rule th_resolution :premises (a40 t43 t44))
+(step t45 (cl @p_147) :rule th_resolution :premises (axiom40 t43 t44))
 (anchor :step t46 :args ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)))
 (anchor :step t46.t1 :args ((veriT_vr61 A$)))
 (step t46.t1.t1 (cl (= @p_141 (! (not @p_139) :named @p_149))) :rule implies_simplify)
@@ -7058,7 +6305,7 @@
 (step t52.t15 (cl (= @p_187 (! (=> @p_179 @p_186) :named @p_188))) :rule cong :premises (t52.t9 t52.t14))
 (step t52 (cl (! (= @p_171 (! (forall ((veriT_vr90 B$) (veriT_vr91 A_b_fun$) (veriT_vr92 A$) (veriT_vr93 A_set$)) @p_188) :named @p_190)) :named @p_189)) :rule bind)
 (step t53 (cl (not @p_189) (not @p_171) @p_190) :rule equiv_pos2)
-(step t54 (cl @p_190) :rule th_resolution :premises (a44 t52 t53))
+(step t54 (cl @p_190) :rule th_resolution :premises (axiom44 t52 t53))
 (anchor :step t55 :args ((:= (veriT_vr90 B$) veriT_vr94) (:= (veriT_vr91 A_b_fun$) veriT_vr95) (:= (veriT_vr92 A$) veriT_vr96) (:= (veriT_vr93 A_set$) veriT_vr97)))
 (step t55.t1 (cl (! (= veriT_vr90 veriT_vr94) :named @p_196)) :rule refl)
 (step t55.t2 (cl (! (= veriT_vr91 veriT_vr95) :named @p_197)) :rule refl)
@@ -7088,7 +6335,7 @@
 (step t58.t7 (cl (= @p_212 (! (= @p_208 @p_211) :named @p_213))) :rule cong :premises (t58.t4 t58.t6))
 (step t58 (cl (! (= @p_204 (! (forall ((veriT_vr114 A_b_fun$) (veriT_vr115 A_set$)) @p_213) :named @p_215)) :named @p_214)) :rule bind)
 (step t59 (cl (not @p_214) (not @p_204) @p_215) :rule equiv_pos2)
-(step t60 (cl @p_215) :rule th_resolution :premises (a48 t58 t59))
+(step t60 (cl @p_215) :rule th_resolution :premises (axiom48 t58 t59))
 (anchor :step t61 :args ((:= (veriT_vr114 A_b_fun$) veriT_vr116) (:= (veriT_vr115 A_set$) veriT_vr117)))
 (step t61.t1 (cl (= veriT_vr114 veriT_vr116)) :rule refl)
 (step t61.t2 (cl (! (= veriT_vr115 veriT_vr117) :named @p_218)) :rule refl)
@@ -7126,7 +6373,7 @@
 (step t64.t23 (cl (= @p_248 (! (=> @p_245 @p_247) :named @p_249))) :rule cong :premises (t64.t19 t64.t22))
 (step t64 (cl (! (= @p_223 (! (forall ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)) @p_249) :named @p_251)) :named @p_250)) :rule bind)
 (step t65 (cl (not @p_250) (not @p_223) @p_251) :rule equiv_pos2)
-(step t66 (cl @p_251) :rule th_resolution :premises (a50 t64 t65))
+(step t66 (cl @p_251) :rule th_resolution :premises (axiom50 t64 t65))
 (anchor :step t67 :args ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)))
 (step t67.t1 (cl (= @p_245 (! (and @p_225 @p_232 @p_236 @p_239) :named @p_252))) :rule ac_simp)
 (step t67.t2 (cl (= @p_249 (! (=> @p_252 @p_247) :named @p_253))) :rule cong :premises (t67.t1))
@@ -7173,7 +6420,7 @@
 (step t73.t12 (cl (= @p_284 (! (= @p_273 @p_283) :named @p_285))) :rule cong :premises (t73.t3 t73.t11))
 (step t73 (cl (! (= @p_271 (! (forall ((veriT_vr130 C$) (veriT_vr131 C$)) @p_285) :named @p_287)) :named @p_286)) :rule bind)
 (step t74 (cl (not @p_286) (not @p_271) @p_287) :rule equiv_pos2)
-(step t75 (cl @p_287) :rule th_resolution :premises (a51 t73 t74))
+(step t75 (cl @p_287) :rule th_resolution :premises (axiom51 t73 t74))
 (anchor :step t76 :args ((:= (veriT_vr130 C$) veriT_vr132) (:= (veriT_vr131 C$) veriT_vr133)))
 (step t76.t1 (cl (! (= veriT_vr130 veriT_vr132) :named @p_289)) :rule refl)
 (step t76.t2 (cl (! (= veriT_vr131 veriT_vr133) :named @p_290)) :rule refl)
@@ -7202,7 +6449,7 @@
 (step t81 (cl (! (not @p_311) :named @p_314) (! (not @p_309) :named @p_313) @p_312) :rule equiv_pos2)
 (step t82 (cl (not @p_313) @p_298) :rule not_not)
 (step t83 (cl @p_314 @p_298 @p_312) :rule th_resolution :premises (t82 t81))
-(step t84 (cl @p_312) :rule th_resolution :premises (a27 t80 t83))
+(step t84 (cl @p_312) :rule th_resolution :premises (axiom27 t80 t83))
 (anchor :step t85 :args ((:= (veriT_vr134 A$) veriT_vr135)))
 (step t85.t1 (cl (! (= veriT_vr134 veriT_vr135) :named @p_316)) :rule refl)
 (step t85.t2 (cl (= @p_301 (! (member$a veriT_vr135 b$) :named @p_315))) :rule cong :premises (t85.t1))
@@ -7232,12 +6479,12 @@
 (step t104 (cl (or (! (not @p_32) :named @p_351) (! (=> (! (and @p_334 (! (not @p_335) :named @p_338)) :named @p_346) (! (member$ @p_336 @p_6) :named @p_350)) :named @p_349))) :rule forall_inst :args ((:= veriT_vr2 @p_6) (:= veriT_vr3 f$)))
 (step t105 (cl (! (not @p_337) :named @p_340) @p_338 @p_331) :rule equiv_pos2)
 (step t106 (cl @p_339 @p_337) :rule or :premises (t101))
-(step t107 (cl @p_340 @p_338) :rule resolution :premises (t105 a25))
+(step t107 (cl @p_340 @p_338) :rule resolution :premises (t105 axiom25))
 (step t108 (cl @p_337) :rule resolution :premises (t106 t63))
 (step t109 (cl @p_338) :rule resolution :premises (t107 t108))
 (step t110 (cl (! (not @p_341) :named @p_343) (not @p_332) @p_334) :rule implies_pos)
 (step t111 (cl @p_342 @p_341) :rule or :premises (t102))
-(step t112 (cl @p_343 @p_334) :rule resolution :premises (t110 a24))
+(step t112 (cl @p_343 @p_334) :rule resolution :premises (t110 axiom24))
 (step t113 (cl @p_341) :rule resolution :premises (t111 t42))
 (step t114 (cl @p_334) :rule resolution :premises (t112 t113))
 (step t115 (cl @p_344 @p_345) :rule or :premises (t103))
@@ -7315,8 +6562,8 @@
 (step t140 (cl @p_407 (not @p_353) (! (not @p_408) :named @p_411) (! (not @p_350) :named @p_415) (! (not @p_405) :named @p_412)) :rule and_neg)
 (step t141 (cl (! (not @p_409) :named @p_413) (! (not @p_407) :named @p_414) @p_355) :rule implies_pos)
 (step t142 (cl @p_410 @p_409) :rule or :premises (t126))
-(step t143 (cl @p_407 @p_411 @p_412) :rule resolution :premises (t140 a23 t125))
-(step t144 (cl @p_413 @p_414) :rule resolution :premises (t141 a52))
+(step t143 (cl @p_407 @p_411 @p_412) :rule resolution :premises (t140 axiom23 t125))
+(step t144 (cl @p_413 @p_414) :rule resolution :premises (t141 axiom52))
 (step t145 (cl @p_409) :rule resolution :premises (t142 t72))
 (step t146 (cl @p_414) :rule resolution :premises (t144 t145))
 (step t147 (cl @p_389 @p_391) :rule and_pos)
@@ -7363,7 +6610,7 @@
 (step t177 (cl @p_436) :rule th_resolution :premises (t173 t172 t175 t176))
 (step t178 (cl @p_437 @p_429 @p_405) :rule or_pos)
 (step t179 (cl @p_421 @p_434) :rule or :premises (t177))
-(step t180 (cl @p_437 @p_405) :rule resolution :premises (t178 a26))
+(step t180 (cl @p_437 @p_405) :rule resolution :premises (t178 axiom26))
 (step t181 (cl @p_434) :rule resolution :premises (t179 t57))
 (step t182 (cl @p_405) :rule resolution :premises (t180 t181))
 (step t183 (cl @p_411) :rule resolution :premises (t143 t182 t146))
@@ -7396,9 +6643,801 @@
 (step t210 (cl @p_456 @p_452 @p_455) :rule th_resolution :premises (t206 t209))
 (step t211 (cl @p_457 @p_458 @p_440 @p_456 @p_455) :rule th_resolution :premises (t205 t210))
 (step t212 (cl) :rule resolution :premises (t211 t116 t156 t193 t202 t204))
-ba9da4ba7350e0a8fc453119da89963e8ee28018 323 0
+2c004ebfd8457fdbede51bb75b1997f1f1e2bc6d 791 0
 unsat
-(assume a1 (! (not (! (=> (! (forall ((?v0 Real_a_fun$) (?v1 B_list$)) (! (= (! (=> (! (and (! (= (! (rec_join$ ?v1) :named @p_3) ?v0) :named @p_68) (! (and (! (=> (! (and (! (= ?v1 nil$) :named @p_4) (! (= uu$ ?v0) :named @p_72)) :named @p_74) false) :named @p_76) (! (and (! (forall ((?v2 B$)) (! (=> (! (and (! (= ?v1 (! (cons$ ?v2 nil$) :named @p_8)) :named @p_5) (! (= ?v0 (! (coeff_cube_to_path$ ?v2) :named @p_1)) :named @p_82)) :named @p_84) false) :named @p_86)) :named @p_78) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and (! (= ?v1 (! (cons$ ?v2 (! (cons$ ?v3 ?v4) :named @p_2)) :named @p_9)) :named @p_6) (! (= ?v0 (! (joinpaths$ @p_1 (! (rec_join$ @p_2) :named @p_95)) :named @p_7)) :named @p_97)) :named @p_99) false) :named @p_101)) :named @p_88)) :named @p_103)) :named @p_105)) :named @p_107) false) :named @p_109) (! (=> (! (and (! (= @p_3 @p_3) :named @p_112) (! (and (! (=> (! (and @p_4 (! (= uu$ @p_3) :named @p_115)) :named @p_117) false) :named @p_119) (! (and (! (forall ((?v2 B$)) (! (=> (! (and @p_5 (! (= @p_3 @p_1) :named @p_125)) :named @p_127) false) :named @p_129)) :named @p_121) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and @p_6 (! (= @p_3 @p_7) :named @p_137)) :named @p_139) false) :named @p_141)) :named @p_131)) :named @p_143)) :named @p_145)) :named @p_147) false) :named @p_149)) :named @p_151)) :named @p_53) (! (= (! (forall ((?v0 B_list$) (?v1 Real_a_fun$)) (! (=> (! (and (! (= (! (rec_join$ ?v0) :named @p_10) ?v1) :named @p_19) (! (and (! (=> (! (and (! (= nil$ ?v0) :named @p_11) (! (= uu$ ?v1) :named @p_20)) :named @p_22) false) :named @p_24) (! (and (! (forall ((?v2 B$)) (! (=> (! (and (! (= @p_8 ?v0) :named @p_17) (! (= @p_1 ?v1) :named @p_27)) :named @p_29) false) :named @p_31)) :named @p_25) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and (! (= @p_9 ?v0) :named @p_18) (! (= @p_7 ?v1) :named @p_35)) :named @p_37) false) :named @p_39)) :named @p_33)) :named @p_41)) :named @p_43)) :named @p_45) false) :named @p_47)) :named @p_14) (! (forall ((?v0 B_list$)) (! (=> (! (and (! (= @p_10 @p_10) :named @p_15) (! (and (! (=> (! (and @p_11 (! (= uu$ @p_10) :named @p_21)) :named @p_23) false) :named @p_16) (! (and (! (forall ((?v1 B$)) (! (=> (! (and (! (= ?v0 (! (cons$ ?v1 nil$) :named @p_162)) :named @p_163) (! (= @p_10 (! (coeff_cube_to_path$ ?v1) :named @p_12)) :named @p_165)) :named @p_166) false) :named @p_167)) :named @p_161) (! (forall ((?v1 B$) (?v2 B$) (?v3 B_list$)) (! (=> (! (and (! (= ?v0 (! (cons$ ?v1 (! (cons$ ?v2 ?v3) :named @p_13)) :named @p_169)) :named @p_170) (! (= @p_10 (! (joinpaths$ @p_12 (! (rec_join$ @p_13) :named @p_175)) :named @p_176)) :named @p_177)) :named @p_178) false) :named @p_179)) :named @p_168)) :named @p_180)) :named @p_181)) :named @p_182) false) :named @p_183)) :named @p_51)) :named @p_49)) :named @p_52)) :named @p_55))
+(assume axiom0 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uuc$ ?v0) :named @p_9) (! (pair$ (! (times$ (! (- ?v0 (! (divide$ 1.0 2.0) :named @p_7)) :named @p_12) d$) :named @p_1) (! (diamond_y$ @p_1) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_6))
+(assume axiom3 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uub$ ?v0) :named @p_37) (! (pair$ (! (- (! (divide$ d$ 2.0) :named @p_3)) :named @p_2) (! (times$ (! (- (! (* 2.0 ?v0) :named @p_40) 1.0) :named @p_42) (! (diamond_y$ @p_2) :named @p_36)) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
+(assume axiom4 (! (< 0.0 d$) :named @p_453))
+(assume axiom5 (! (forall ((?v0 Real)) (! (= (! (diamond_y$ ?v0) :named @p_62) (! (- @p_3 (! (ite (! (< ?v0 0.0) :named @p_65) (! (- ?v0) :named @p_4) ?v0) :named @p_68)) :named @p_70)) :named @p_72)) :named @p_61))
+(assume axiom7 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real)) (! (= (! (< (! (divide$ ?v0 ?v1) :named @p_5) (! (divide$ ?v2 ?v1) :named @p_88)) :named @p_90) (! (and (! (=> (! (< 0.0 ?v1) :named @p_92) (! (< ?v0 ?v2) :named @p_96)) :named @p_98) (! (and (! (=> (! (< ?v1 0.0) :named @p_100) (! (< ?v2 ?v0) :named @p_102)) :named @p_104) (! (not (! (= 0.0 ?v1) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_112)) :named @p_114)) :named @p_85))
+(assume axiom8 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (divide$ @p_4 ?v1) :named @p_142) (! (- @p_5) :named @p_147)) :named @p_149)) :named @p_140))
+(assume axiom9 (! (forall ((?v0 Real) (?v1 Real)) (! (= (! (times$ @p_4 ?v1) :named @p_164) (! (- (! (times$ ?v0 ?v1) :named @p_168)) :named @p_170)) :named @p_172)) :named @p_162))
+(assume axiom10 (! (forall ((?v0 Real) (?v1 Real) (?v2 Real) (?v3 Real)) (! (= (! (= (! (pair$ ?v0 ?v1) :named @p_186) (! (pair$ ?v2 ?v3) :named @p_188)) :named @p_190) (! (and (! (= ?v0 ?v2) :named @p_194) (! (= ?v1 ?v3) :named @p_198)) :named @p_200)) :named @p_202)) :named @p_185))
+(assume axiom11 (! (not (! (=> (! (and (! (not (= uua$ uu$)) :named @p_226) (! (= uuc$ uub$) :named @p_227)) :named @p_220) false) :named @p_224)) :named @p_219))
+(anchor :step t10 :args ((:= (?v0 Real) veriT_vr0)))
+(step t10.t1 (cl (! (= ?v0 veriT_vr0) :named @p_11)) :rule refl)
+(step t10.t2 (cl (= @p_9 (! (fun_app$ uuc$ veriT_vr0) :named @p_10))) :rule cong :premises (t10.t1))
+(step t10.t3 (cl @p_11) :rule refl)
+(step t10.t4 (cl (! (= @p_12 (! (- veriT_vr0 @p_7) :named @p_13)) :named @p_14)) :rule cong :premises (t10.t3))
+(step t10.t5 (cl (! (= @p_1 (! (times$ @p_13 d$) :named @p_8)) :named @p_15)) :rule cong :premises (t10.t4))
+(step t10.t6 (cl @p_11) :rule refl)
+(step t10.t7 (cl @p_14) :rule cong :premises (t10.t6))
+(step t10.t8 (cl @p_15) :rule cong :premises (t10.t7))
+(step t10.t9 (cl (= @p_16 (! (diamond_y$ @p_8) :named @p_17))) :rule cong :premises (t10.t8))
+(step t10.t10 (cl (= @p_18 (! (pair$ @p_8 @p_17) :named @p_19))) :rule cong :premises (t10.t5 t10.t9))
+(step t10.t11 (cl (= @p_20 (! (= @p_10 @p_19) :named @p_21))) :rule cong :premises (t10.t2 t10.t10))
+(step t10 (cl (! (= @p_6 (! (forall ((veriT_vr0 Real)) @p_21) :named @p_23)) :named @p_22)) :rule bind)
+(step t11 (cl (not @p_22) (not @p_6) @p_23) :rule equiv_pos2)
+(step t12 (cl @p_23) :rule th_resolution :premises (axiom0 t10 t11))
+(anchor :step t13 :args ((:= (veriT_vr0 Real) veriT_vr1)))
+(step t13.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_26)) :rule refl)
+(step t13.t2 (cl (= @p_10 (! (fun_app$ uuc$ veriT_vr1) :named @p_25))) :rule cong :premises (t13.t1))
+(step t13.t3 (cl @p_26) :rule refl)
+(step t13.t4 (cl (! (= @p_13 (! (- veriT_vr1 @p_7) :named @p_27)) :named @p_28)) :rule cong :premises (t13.t3))
+(step t13.t5 (cl (! (= @p_8 (! (times$ @p_27 d$) :named @p_24)) :named @p_29)) :rule cong :premises (t13.t4))
+(step t13.t6 (cl @p_26) :rule refl)
+(step t13.t7 (cl @p_28) :rule cong :premises (t13.t6))
+(step t13.t8 (cl @p_29) :rule cong :premises (t13.t7))
+(step t13.t9 (cl (= @p_17 (! (diamond_y$ @p_24) :named @p_30))) :rule cong :premises (t13.t8))
+(step t13.t10 (cl (= @p_19 (! (pair$ @p_24 @p_30) :named @p_31))) :rule cong :premises (t13.t5 t13.t9))
+(step t13.t11 (cl (= @p_21 (! (= @p_25 @p_31) :named @p_32))) :rule cong :premises (t13.t2 t13.t10))
+(step t13 (cl (! (= @p_23 (! (forall ((veriT_vr1 Real)) @p_32) :named @p_34)) :named @p_33)) :rule bind)
+(step t14 (cl (not @p_33) (not @p_23) @p_34) :rule equiv_pos2)
+(step t15 (cl @p_34) :rule th_resolution :premises (t12 t13 t14))
+(anchor :step t16 :args ((:= (?v0 Real) veriT_vr6)))
+(step t16.t1 (cl (! (= ?v0 veriT_vr6) :named @p_39)) :rule refl)
+(step t16.t2 (cl (= @p_37 (! (fun_app$ uub$ veriT_vr6) :named @p_38))) :rule cong :premises (t16.t1))
+(step t16.t3 (cl @p_39) :rule refl)
+(step t16.t4 (cl (= @p_40 (! (* 2.0 veriT_vr6) :named @p_41))) :rule cong :premises (t16.t3))
+(step t16.t5 (cl (= @p_42 (! (- @p_41 1.0) :named @p_43))) :rule cong :premises (t16.t4))
+(step t16.t6 (cl (= @p_44 (! (times$ @p_43 @p_36) :named @p_45))) :rule cong :premises (t16.t5))
+(step t16.t7 (cl (= @p_46 (! (pair$ @p_2 @p_45) :named @p_47))) :rule cong :premises (t16.t6))
+(step t16.t8 (cl (= @p_48 (! (= @p_38 @p_47) :named @p_49))) :rule cong :premises (t16.t2 t16.t7))
+(step t16 (cl (! (= @p_35 (! (forall ((veriT_vr6 Real)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
+(step t17 (cl (not @p_50) (not @p_35) @p_51) :rule equiv_pos2)
+(step t18 (cl @p_51) :rule th_resolution :premises (axiom3 t16 t17))
+(anchor :step t19 :args ((:= (veriT_vr6 Real) veriT_vr7)))
+(step t19.t1 (cl (! (= veriT_vr6 veriT_vr7) :named @p_53)) :rule refl)
+(step t19.t2 (cl (= @p_38 (! (fun_app$ uub$ veriT_vr7) :named @p_52))) :rule cong :premises (t19.t1))
+(step t19.t3 (cl @p_53) :rule refl)
+(step t19.t4 (cl (= @p_41 (! (* 2.0 veriT_vr7) :named @p_54))) :rule cong :premises (t19.t3))
+(step t19.t5 (cl (= @p_43 (! (- @p_54 1.0) :named @p_55))) :rule cong :premises (t19.t4))
+(step t19.t6 (cl (= @p_45 (! (times$ @p_55 @p_36) :named @p_56))) :rule cong :premises (t19.t5))
+(step t19.t7 (cl (= @p_47 (! (pair$ @p_2 @p_56) :named @p_57))) :rule cong :premises (t19.t6))
+(step t19.t8 (cl (= @p_49 (! (= @p_52 @p_57) :named @p_58))) :rule cong :premises (t19.t2 t19.t7))
+(step t19 (cl (! (= @p_51 (! (forall ((veriT_vr7 Real)) @p_58) :named @p_60)) :named @p_59)) :rule bind)
+(step t20 (cl (not @p_59) (not @p_51) @p_60) :rule equiv_pos2)
+(step t21 (cl @p_60) :rule th_resolution :premises (t18 t19 t20))
+(anchor :step t22 :args ((:= (?v0 Real) veriT_vr8)))
+(step t22.t1 (cl (! (= ?v0 veriT_vr8) :named @p_64)) :rule refl)
+(step t22.t2 (cl (= @p_62 (! (diamond_y$ veriT_vr8) :named @p_63))) :rule cong :premises (t22.t1))
+(step t22.t3 (cl @p_64) :rule refl)
+(step t22.t4 (cl (= @p_65 (! (< veriT_vr8 0.0) :named @p_66))) :rule cong :premises (t22.t3))
+(step t22.t5 (cl @p_64) :rule refl)
+(step t22.t6 (cl (= @p_4 (! (- veriT_vr8) :named @p_67))) :rule cong :premises (t22.t5))
+(step t22.t7 (cl @p_64) :rule refl)
+(step t22.t8 (cl (= @p_68 (! (ite @p_66 @p_67 veriT_vr8) :named @p_69))) :rule cong :premises (t22.t4 t22.t6 t22.t7))
+(step t22.t9 (cl (= @p_70 (! (- @p_3 @p_69) :named @p_71))) :rule cong :premises (t22.t8))
+(step t22.t10 (cl (= @p_72 (! (= @p_63 @p_71) :named @p_73))) :rule cong :premises (t22.t2 t22.t9))
+(step t22 (cl (! (= @p_61 (! (forall ((veriT_vr8 Real)) @p_73) :named @p_75)) :named @p_74)) :rule bind)
+(step t23 (cl (not @p_74) (not @p_61) @p_75) :rule equiv_pos2)
+(step t24 (cl @p_75) :rule th_resolution :premises (axiom5 t22 t23))
+(anchor :step t25 :args ((:= (veriT_vr8 Real) veriT_vr9)))
+(step t25.t1 (cl (! (= veriT_vr8 veriT_vr9) :named @p_77)) :rule refl)
+(step t25.t2 (cl (= @p_63 (! (diamond_y$ veriT_vr9) :named @p_76))) :rule cong :premises (t25.t1))
+(step t25.t3 (cl @p_77) :rule refl)
+(step t25.t4 (cl (= @p_66 (! (< veriT_vr9 0.0) :named @p_78))) :rule cong :premises (t25.t3))
+(step t25.t5 (cl @p_77) :rule refl)
+(step t25.t6 (cl (= @p_67 (! (- veriT_vr9) :named @p_79))) :rule cong :premises (t25.t5))
+(step t25.t7 (cl @p_77) :rule refl)
+(step t25.t8 (cl (= @p_69 (! (ite @p_78 @p_79 veriT_vr9) :named @p_80))) :rule cong :premises (t25.t4 t25.t6 t25.t7))
+(step t25.t9 (cl (= @p_71 (! (- @p_3 @p_80) :named @p_81))) :rule cong :premises (t25.t8))
+(step t25.t10 (cl (= @p_73 (! (= @p_76 @p_81) :named @p_82))) :rule cong :premises (t25.t2 t25.t9))
+(step t25 (cl (! (= @p_75 (! (forall ((veriT_vr9 Real)) @p_82) :named @p_84)) :named @p_83)) :rule bind)
+(step t26 (cl (not @p_83) (not @p_75) @p_84) :rule equiv_pos2)
+(step t27 (cl @p_84) :rule th_resolution :premises (t24 t25 t26))
+(anchor :step t28 :args ((:= (?v0 Real) veriT_vr10) (:= (?v1 Real) veriT_vr11) (:= (?v2 Real) veriT_vr12)))
+(step t28.t1 (cl (! (= ?v0 veriT_vr10) :named @p_94)) :rule refl)
+(step t28.t2 (cl (! (= ?v1 veriT_vr11) :named @p_87)) :rule refl)
+(step t28.t3 (cl (= @p_5 (! (divide$ veriT_vr10 veriT_vr11) :named @p_86))) :rule cong :premises (t28.t1 t28.t2))
+(step t28.t4 (cl (! (= ?v2 veriT_vr12) :named @p_95)) :rule refl)
+(step t28.t5 (cl @p_87) :rule refl)
+(step t28.t6 (cl (= @p_88 (! (divide$ veriT_vr12 veriT_vr11) :named @p_89))) :rule cong :premises (t28.t4 t28.t5))
+(step t28.t7 (cl (= @p_90 (! (< @p_86 @p_89) :named @p_91))) :rule cong :premises (t28.t3 t28.t6))
+(step t28.t8 (cl @p_87) :rule refl)
+(step t28.t9 (cl (= @p_92 (! (< 0.0 veriT_vr11) :named @p_93))) :rule cong :premises (t28.t8))
+(step t28.t10 (cl @p_94) :rule refl)
+(step t28.t11 (cl @p_95) :rule refl)
+(step t28.t12 (cl (= @p_96 (! (< veriT_vr10 veriT_vr12) :named @p_97))) :rule cong :premises (t28.t10 t28.t11))
+(step t28.t13 (cl (= @p_98 (! (=> @p_93 @p_97) :named @p_99))) :rule cong :premises (t28.t9 t28.t12))
+(step t28.t14 (cl @p_87) :rule refl)
+(step t28.t15 (cl (= @p_100 (! (< veriT_vr11 0.0) :named @p_101))) :rule cong :premises (t28.t14))
+(step t28.t16 (cl @p_95) :rule refl)
+(step t28.t17 (cl @p_94) :rule refl)
+(step t28.t18 (cl (= @p_102 (! (< veriT_vr12 veriT_vr10) :named @p_103))) :rule cong :premises (t28.t16 t28.t17))
+(step t28.t19 (cl (= @p_104 (! (=> @p_101 @p_103) :named @p_105))) :rule cong :premises (t28.t15 t28.t18))
+(step t28.t20 (cl @p_87) :rule refl)
+(step t28.t21 (cl (= @p_106 (! (= 0.0 veriT_vr11) :named @p_107))) :rule cong :premises (t28.t20))
+(step t28.t22 (cl (= @p_108 (! (not @p_107) :named @p_109))) :rule cong :premises (t28.t21))
+(step t28.t23 (cl (= @p_110 (! (and @p_105 @p_109) :named @p_111))) :rule cong :premises (t28.t19 t28.t22))
+(step t28.t24 (cl (= @p_112 (! (and @p_99 @p_111) :named @p_113))) :rule cong :premises (t28.t13 t28.t23))
+(step t28.t25 (cl (= @p_114 (! (= @p_91 @p_113) :named @p_115))) :rule cong :premises (t28.t7 t28.t24))
+(step t28 (cl (! (= @p_85 (! (forall ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)) @p_115) :named @p_117)) :named @p_116)) :rule bind)
+(step t29 (cl (not @p_116) (not @p_85) @p_117) :rule equiv_pos2)
+(step t30 (cl @p_117) :rule th_resolution :premises (axiom7 t28 t29))
+(anchor :step t31 :args ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)))
+(step t31.t1 (cl (= @p_113 (! (and @p_99 @p_105 @p_109) :named @p_118))) :rule ac_simp)
+(step t31.t2 (cl (= @p_115 (! (= @p_91 @p_118) :named @p_119))) :rule cong :premises (t31.t1))
+(step t31 (cl (! (= @p_117 (! (forall ((veriT_vr10 Real) (veriT_vr11 Real) (veriT_vr12 Real)) @p_119) :named @p_121)) :named @p_120)) :rule bind)
+(step t32 (cl (not @p_120) (not @p_117) @p_121) :rule equiv_pos2)
+(step t33 (cl @p_121) :rule th_resolution :premises (t30 t31 t32))
+(anchor :step t34 :args ((:= (veriT_vr10 Real) veriT_vr13) (:= (veriT_vr11 Real) veriT_vr14) (:= (veriT_vr12 Real) veriT_vr15)))
+(step t34.t1 (cl (! (= veriT_vr10 veriT_vr13) :named @p_127)) :rule refl)
+(step t34.t2 (cl (! (= veriT_vr11 veriT_vr14) :named @p_123)) :rule refl)
+(step t34.t3 (cl (= @p_86 (! (divide$ veriT_vr13 veriT_vr14) :named @p_122))) :rule cong :premises (t34.t1 t34.t2))
+(step t34.t4 (cl (! (= veriT_vr12 veriT_vr15) :named @p_128)) :rule refl)
+(step t34.t5 (cl @p_123) :rule refl)
+(step t34.t6 (cl (= @p_89 (! (divide$ veriT_vr15 veriT_vr14) :named @p_124))) :rule cong :premises (t34.t4 t34.t5))
+(step t34.t7 (cl (= @p_91 (! (< @p_122 @p_124) :named @p_125))) :rule cong :premises (t34.t3 t34.t6))
+(step t34.t8 (cl @p_123) :rule refl)
+(step t34.t9 (cl (= @p_93 (! (< 0.0 veriT_vr14) :named @p_126))) :rule cong :premises (t34.t8))
+(step t34.t10 (cl @p_127) :rule refl)
+(step t34.t11 (cl @p_128) :rule refl)
+(step t34.t12 (cl (= @p_97 (! (< veriT_vr13 veriT_vr15) :named @p_129))) :rule cong :premises (t34.t10 t34.t11))
+(step t34.t13 (cl (= @p_99 (! (=> @p_126 @p_129) :named @p_130))) :rule cong :premises (t34.t9 t34.t12))
+(step t34.t14 (cl @p_123) :rule refl)
+(step t34.t15 (cl (= @p_101 (! (< veriT_vr14 0.0) :named @p_131))) :rule cong :premises (t34.t14))
+(step t34.t16 (cl @p_128) :rule refl)
+(step t34.t17 (cl @p_127) :rule refl)
+(step t34.t18 (cl (= @p_103 (! (< veriT_vr15 veriT_vr13) :named @p_132))) :rule cong :premises (t34.t16 t34.t17))
+(step t34.t19 (cl (= @p_105 (! (=> @p_131 @p_132) :named @p_133))) :rule cong :premises (t34.t15 t34.t18))
+(step t34.t20 (cl @p_123) :rule refl)
+(step t34.t21 (cl (= @p_107 (! (= 0.0 veriT_vr14) :named @p_134))) :rule cong :premises (t34.t20))
+(step t34.t22 (cl (= @p_109 (! (not @p_134) :named @p_135))) :rule cong :premises (t34.t21))
+(step t34.t23 (cl (= @p_118 (! (and @p_130 @p_133 @p_135) :named @p_136))) :rule cong :premises (t34.t13 t34.t19 t34.t22))
+(step t34.t24 (cl (= @p_119 (! (= @p_125 @p_136) :named @p_137))) :rule cong :premises (t34.t7 t34.t23))
+(step t34 (cl (! (= @p_121 (! (forall ((veriT_vr13 Real) (veriT_vr14 Real) (veriT_vr15 Real)) @p_137) :named @p_139)) :named @p_138)) :rule bind)
+(step t35 (cl (not @p_138) (not @p_121) @p_139) :rule equiv_pos2)
+(step t36 (cl @p_139) :rule th_resolution :premises (t33 t34 t35))
+(anchor :step t37 :args ((:= (?v0 Real) veriT_vr16) (:= (?v1 Real) veriT_vr17)))
+(step t37.t1 (cl (! (= ?v0 veriT_vr16) :named @p_144)) :rule refl)
+(step t37.t2 (cl (= @p_4 (! (- veriT_vr16) :named @p_141))) :rule cong :premises (t37.t1))
+(step t37.t3 (cl (! (= ?v1 veriT_vr17) :named @p_145)) :rule refl)
+(step t37.t4 (cl (= @p_142 (! (divide$ @p_141 veriT_vr17) :named @p_143))) :rule cong :premises (t37.t2 t37.t3))
+(step t37.t5 (cl @p_144) :rule refl)
+(step t37.t6 (cl @p_145) :rule refl)
+(step t37.t7 (cl (= @p_5 (! (divide$ veriT_vr16 veriT_vr17) :named @p_146))) :rule cong :premises (t37.t5 t37.t6))
+(step t37.t8 (cl (= @p_147 (! (- @p_146) :named @p_148))) :rule cong :premises (t37.t7))
+(step t37.t9 (cl (= @p_149 (! (= @p_143 @p_148) :named @p_150))) :rule cong :premises (t37.t4 t37.t8))
+(step t37 (cl (! (= @p_140 (! (forall ((veriT_vr16 Real) (veriT_vr17 Real)) @p_150) :named @p_152)) :named @p_151)) :rule bind)
+(step t38 (cl (not @p_151) (not @p_140) @p_152) :rule equiv_pos2)
+(step t39 (cl @p_152) :rule th_resolution :premises (axiom8 t37 t38))
+(anchor :step t40 :args ((:= (veriT_vr16 Real) veriT_vr18) (:= (veriT_vr17 Real) veriT_vr19)))
+(step t40.t1 (cl (! (= veriT_vr16 veriT_vr18) :named @p_155)) :rule refl)
+(step t40.t2 (cl (= @p_141 (! (- veriT_vr18) :named @p_153))) :rule cong :premises (t40.t1))
+(step t40.t3 (cl (! (= veriT_vr17 veriT_vr19) :named @p_156)) :rule refl)
+(step t40.t4 (cl (= @p_143 (! (divide$ @p_153 veriT_vr19) :named @p_154))) :rule cong :premises (t40.t2 t40.t3))
+(step t40.t5 (cl @p_155) :rule refl)
+(step t40.t6 (cl @p_156) :rule refl)
+(step t40.t7 (cl (= @p_146 (! (divide$ veriT_vr18 veriT_vr19) :named @p_157))) :rule cong :premises (t40.t5 t40.t6))
+(step t40.t8 (cl (= @p_148 (! (- @p_157) :named @p_158))) :rule cong :premises (t40.t7))
+(step t40.t9 (cl (= @p_150 (! (= @p_154 @p_158) :named @p_159))) :rule cong :premises (t40.t4 t40.t8))
+(step t40 (cl (! (= @p_152 (! (forall ((veriT_vr18 Real) (veriT_vr19 Real)) @p_159) :named @p_161)) :named @p_160)) :rule bind)
+(step t41 (cl (not @p_160) (not @p_152) @p_161) :rule equiv_pos2)
+(step t42 (cl @p_161) :rule th_resolution :premises (t39 t40 t41))
+(anchor :step t43 :args ((:= (?v0 Real) veriT_vr20) (:= (?v1 Real) veriT_vr21)))
+(step t43.t1 (cl (! (= ?v0 veriT_vr20) :named @p_166)) :rule refl)
+(step t43.t2 (cl (= @p_4 (! (- veriT_vr20) :named @p_163))) :rule cong :premises (t43.t1))
+(step t43.t3 (cl (! (= ?v1 veriT_vr21) :named @p_167)) :rule refl)
+(step t43.t4 (cl (= @p_164 (! (times$ @p_163 veriT_vr21) :named @p_165))) :rule cong :premises (t43.t2 t43.t3))
+(step t43.t5 (cl @p_166) :rule refl)
+(step t43.t6 (cl @p_167) :rule refl)
+(step t43.t7 (cl (= @p_168 (! (times$ veriT_vr20 veriT_vr21) :named @p_169))) :rule cong :premises (t43.t5 t43.t6))
+(step t43.t8 (cl (= @p_170 (! (- @p_169) :named @p_171))) :rule cong :premises (t43.t7))
+(step t43.t9 (cl (= @p_172 (! (= @p_165 @p_171) :named @p_173))) :rule cong :premises (t43.t4 t43.t8))
+(step t43 (cl (! (= @p_162 (! (forall ((veriT_vr20 Real) (veriT_vr21 Real)) @p_173) :named @p_175)) :named @p_174)) :rule bind)
+(step t44 (cl (not @p_174) (not @p_162) @p_175) :rule equiv_pos2)
+(step t45 (cl @p_175) :rule th_resolution :premises (axiom9 t43 t44))
+(anchor :step t46 :args ((:= (veriT_vr20 Real) veriT_vr22) (:= (veriT_vr21 Real) veriT_vr23)))
+(step t46.t1 (cl (! (= veriT_vr20 veriT_vr22) :named @p_178)) :rule refl)
+(step t46.t2 (cl (= @p_163 (! (- veriT_vr22) :named @p_176))) :rule cong :premises (t46.t1))
+(step t46.t3 (cl (! (= veriT_vr21 veriT_vr23) :named @p_179)) :rule refl)
+(step t46.t4 (cl (= @p_165 (! (times$ @p_176 veriT_vr23) :named @p_177))) :rule cong :premises (t46.t2 t46.t3))
+(step t46.t5 (cl @p_178) :rule refl)
+(step t46.t6 (cl @p_179) :rule refl)
+(step t46.t7 (cl (= @p_169 (! (times$ veriT_vr22 veriT_vr23) :named @p_180))) :rule cong :premises (t46.t5 t46.t6))
+(step t46.t8 (cl (= @p_171 (! (- @p_180) :named @p_181))) :rule cong :premises (t46.t7))
+(step t46.t9 (cl (= @p_173 (! (= @p_177 @p_181) :named @p_182))) :rule cong :premises (t46.t4 t46.t8))
+(step t46 (cl (! (= @p_175 (! (forall ((veriT_vr22 Real) (veriT_vr23 Real)) @p_182) :named @p_184)) :named @p_183)) :rule bind)
+(step t47 (cl (not @p_183) (not @p_175) @p_184) :rule equiv_pos2)
+(step t48 (cl @p_184) :rule th_resolution :premises (t45 t46 t47))
+(anchor :step t49 :args ((:= (?v0 Real) veriT_vr24) (:= (?v1 Real) veriT_vr25) (:= (?v2 Real) veriT_vr26) (:= (?v3 Real) veriT_vr27)))
+(step t49.t1 (cl (! (= ?v0 veriT_vr24) :named @p_192)) :rule refl)
+(step t49.t2 (cl (! (= ?v1 veriT_vr25) :named @p_196)) :rule refl)
+(step t49.t3 (cl (= @p_186 (! (pair$ veriT_vr24 veriT_vr25) :named @p_187))) :rule cong :premises (t49.t1 t49.t2))
+(step t49.t4 (cl (! (= ?v2 veriT_vr26) :named @p_193)) :rule refl)
+(step t49.t5 (cl (! (= ?v3 veriT_vr27) :named @p_197)) :rule refl)
+(step t49.t6 (cl (= @p_188 (! (pair$ veriT_vr26 veriT_vr27) :named @p_189))) :rule cong :premises (t49.t4 t49.t5))
+(step t49.t7 (cl (= @p_190 (! (= @p_187 @p_189) :named @p_191))) :rule cong :premises (t49.t3 t49.t6))
+(step t49.t8 (cl @p_192) :rule refl)
+(step t49.t9 (cl @p_193) :rule refl)
+(step t49.t10 (cl (= @p_194 (! (= veriT_vr24 veriT_vr26) :named @p_195))) :rule cong :premises (t49.t8 t49.t9))
+(step t49.t11 (cl @p_196) :rule refl)
+(step t49.t12 (cl @p_197) :rule refl)
+(step t49.t13 (cl (= @p_198 (! (= veriT_vr25 veriT_vr27) :named @p_199))) :rule cong :premises (t49.t11 t49.t12))
+(step t49.t14 (cl (= @p_200 (! (and @p_195 @p_199) :named @p_201))) :rule cong :premises (t49.t10 t49.t13))
+(step t49.t15 (cl (= @p_202 (! (= @p_191 @p_201) :named @p_203))) :rule cong :premises (t49.t7 t49.t14))
+(step t49 (cl (! (= @p_185 (! (forall ((veriT_vr24 Real) (veriT_vr25 Real) (veriT_vr26 Real) (veriT_vr27 Real)) @p_203) :named @p_205)) :named @p_204)) :rule bind)
+(step t50 (cl (not @p_204) (not @p_185) @p_205) :rule equiv_pos2)
+(step t51 (cl @p_205) :rule th_resolution :premises (axiom10 t49 t50))
+(anchor :step t52 :args ((:= (veriT_vr24 Real) veriT_vr28) (:= (veriT_vr25 Real) veriT_vr29) (:= (veriT_vr26 Real) veriT_vr30) (:= (veriT_vr27 Real) veriT_vr31)))
+(step t52.t1 (cl (! (= veriT_vr24 veriT_vr28) :named @p_209)) :rule refl)
+(step t52.t2 (cl (! (= veriT_vr25 veriT_vr29) :named @p_212)) :rule refl)
+(step t52.t3 (cl (= @p_187 (! (pair$ veriT_vr28 veriT_vr29) :named @p_206))) :rule cong :premises (t52.t1 t52.t2))
+(step t52.t4 (cl (! (= veriT_vr26 veriT_vr30) :named @p_210)) :rule refl)
+(step t52.t5 (cl (! (= veriT_vr27 veriT_vr31) :named @p_213)) :rule refl)
+(step t52.t6 (cl (= @p_189 (! (pair$ veriT_vr30 veriT_vr31) :named @p_207))) :rule cong :premises (t52.t4 t52.t5))
+(step t52.t7 (cl (= @p_191 (! (= @p_206 @p_207) :named @p_208))) :rule cong :premises (t52.t3 t52.t6))
+(step t52.t8 (cl @p_209) :rule refl)
+(step t52.t9 (cl @p_210) :rule refl)
+(step t52.t10 (cl (= @p_195 (! (= veriT_vr28 veriT_vr30) :named @p_211))) :rule cong :premises (t52.t8 t52.t9))
+(step t52.t11 (cl @p_212) :rule refl)
+(step t52.t12 (cl @p_213) :rule refl)
+(step t52.t13 (cl (= @p_199 (! (= veriT_vr29 veriT_vr31) :named @p_214))) :rule cong :premises (t52.t11 t52.t12))
+(step t52.t14 (cl (= @p_201 (! (and @p_211 @p_214) :named @p_215))) :rule cong :premises (t52.t10 t52.t13))
+(step t52.t15 (cl (= @p_203 (! (= @p_208 @p_215) :named @p_216))) :rule cong :premises (t52.t7 t52.t14))
+(step t52 (cl (! (= @p_205 (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) @p_216) :named @p_218)) :named @p_217)) :rule bind)
+(step t53 (cl (not @p_217) (not @p_205) @p_218) :rule equiv_pos2)
+(step t54 (cl @p_218) :rule th_resolution :premises (t51 t52 t53))
+(step t55 (cl (! (= @p_219 (! (and @p_220 (! (not false) :named @p_228)) :named @p_222)) :named @p_221)) :rule bool_simplify)
+(step t56 (cl (! (not @p_221) :named @p_225) (! (not @p_219) :named @p_223) @p_222) :rule equiv_pos2)
+(step t57 (cl (not @p_223) @p_224) :rule not_not)
+(step t58 (cl @p_225 @p_224 @p_222) :rule th_resolution :premises (t57 t56))
+(step t59 (cl @p_222) :rule th_resolution :premises (axiom11 t55 t58))
+(step t60 (cl (! (= @p_222 (! (and @p_226 @p_227 @p_228) :named @p_230)) :named @p_229)) :rule ac_simp)
+(step t61 (cl (not @p_229) (not @p_222) @p_230) :rule equiv_pos2)
+(step t62 (cl @p_230) :rule th_resolution :premises (t59 t60 t61))
+(step t63 (cl (! (= @p_228 true) :named @p_379)) :rule not_simplify)
+(step t64 (cl (= @p_230 (! (and @p_226 @p_227 true) :named @p_231))) :rule cong :premises (t63))
+(step t65 (cl (= @p_231 @p_220)) :rule and_simplify)
+(step t66 (cl (! (= @p_230 @p_220) :named @p_232)) :rule trans :premises (t64 t65))
+(step t67 (cl (not @p_232) (not @p_230) @p_220) :rule equiv_pos2)
+(step t68 (cl @p_220) :rule th_resolution :premises (t62 t66 t67))
+(step t69 (cl @p_227) :rule and :premises (t68))
+(step t70 (cl (or (! (not @p_218) :named @p_244) (! (forall ((veriT_vr28 Real) (veriT_vr29 Real) (veriT_vr30 Real) (veriT_vr31 Real)) (or (not @p_208) @p_211)) :named @p_533))) :rule qnt_cnf)
+(step t71 (cl (or (! (not @p_161) :named @p_241) (! (= (! (divide$ (! (- 0.0) :named @p_236) d$) :named @p_237) (! (- (! (divide$ 0.0 d$) :named @p_234)) :named @p_235)) :named @p_233))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 d$)))
+(anchor :step t72)
+(assume t72.h1 @p_233)
+(step t72.t2 (cl (! (= 0.0 @p_236) :named @p_249)) :rule minus_simplify)
+(step t72.t3 (cl (= @p_234 @p_237)) :rule cong :premises (t72.t2))
+(step t72.t4 (cl (! (= @p_233 (! (= @p_234 @p_235) :named @p_238)) :named @p_239)) :rule cong :premises (t72.t3))
+(step t72.t5 (cl (not @p_239) (! (not @p_233) :named @p_240) @p_238) :rule equiv_pos2)
+(step t72.t6 (cl @p_238) :rule th_resolution :premises (t72.h1 t72.t4 t72.t5))
+(step t72 (cl @p_240 @p_238) :rule subproof :discharge (h1))
+(step t73 (cl @p_241 @p_233) :rule or :premises (t71))
+(step t74 (cl (! (or @p_241 @p_238) :named @p_243) (! (not @p_241) :named @p_242)) :rule or_neg)
+(step t75 (cl (not @p_242) @p_161) :rule not_not)
+(step t76 (cl @p_243 @p_161) :rule th_resolution :premises (t75 t74))
+(step t77 (cl @p_243 (! (not @p_238) :named @p_527)) :rule or_neg)
+(step t78 (cl @p_243) :rule th_resolution :premises (t73 t72 t76 t77))
+(step t79 (cl (not (! (not (! (not @p_139) :named @p_282)) :named @p_302)) @p_139) :rule not_not)
+(step t80 (cl @p_241 @p_238) :rule or :premises (t78))
+(step t81 (cl @p_238) :rule resolution :premises (t80 t42))
+(step t82 (cl (not (! (not @p_244) :named @p_538)) @p_218) :rule not_not)
+(step t83 (cl (not (! (not (! (not @p_184) :named @p_245)) :named @p_254)) @p_184) :rule not_not)
+(step t84 (cl (or @p_245 (! (= (! (times$ @p_236 d$) :named @p_250) (! (- (! (times$ 0.0 d$) :named @p_247)) :named @p_248)) :named @p_246))) :rule forall_inst :args ((:= veriT_vr22 0.0) (:= veriT_vr23 d$)))
+(anchor :step t85)
+(assume t85.h1 @p_246)
+(step t85.t2 (cl @p_249) :rule minus_simplify)
+(step t85.t3 (cl (= @p_250 @p_247)) :rule cong :premises (t85.t2))
+(step t85.t4 (cl (! (= @p_246 (! (= @p_247 @p_248) :named @p_251)) :named @p_252)) :rule cong :premises (t85.t3))
+(step t85.t5 (cl (not @p_252) (! (not @p_246) :named @p_253) @p_251) :rule equiv_pos2)
+(step t85.t6 (cl @p_251) :rule th_resolution :premises (t85.h1 t85.t4 t85.t5))
+(step t85 (cl @p_253 @p_251) :rule subproof :discharge (h1))
+(step t86 (cl @p_245 @p_246) :rule or :premises (t84))
+(step t87 (cl (! (or @p_245 @p_251) :named @p_255) @p_254) :rule or_neg)
+(step t88 (cl @p_255 @p_184) :rule th_resolution :premises (t83 t87))
+(step t89 (cl @p_255 (! (not @p_251) :named @p_531)) :rule or_neg)
+(step t90 (cl @p_255) :rule th_resolution :premises (t86 t85 t88 t89))
+(step t91 (cl (or @p_241 (! (= (! (divide$ (! (- @p_2) :named @p_258) 2.0) :named @p_259) (! (- (! (divide$ @p_2 2.0) :named @p_366)) :named @p_257)) :named @p_256))) :rule forall_inst :args ((:= veriT_vr18 @p_2) (:= veriT_vr19 2.0)))
+(anchor :step t92)
+(assume t92.h1 @p_256)
+(step t92.t2 (cl (! (= @p_3 @p_258) :named @p_267)) :rule minus_simplify)
+(step t92.t3 (cl (= @p_259 (! (divide$ @p_3 2.0) :named @p_260))) :rule cong :premises (t92.t2))
+(step t92.t4 (cl (! (= @p_256 (! (= @p_257 @p_260) :named @p_261)) :named @p_262)) :rule cong :premises (t92.t3))
+(step t92.t5 (cl (not @p_262) (! (not @p_256) :named @p_263) @p_261) :rule equiv_pos2)
+(step t92.t6 (cl @p_261) :rule th_resolution :premises (t92.h1 t92.t4 t92.t5))
+(step t92 (cl @p_263 @p_261) :rule subproof :discharge (h1))
+(step t93 (cl @p_241 @p_256) :rule or :premises (t91))
+(step t94 (cl (! (or @p_241 @p_261) :named @p_264) @p_242) :rule or_neg)
+(step t95 (cl @p_264 @p_161) :rule th_resolution :premises (t75 t94))
+(step t96 (cl @p_264 (! (not @p_261) :named @p_563)) :rule or_neg)
+(step t97 (cl @p_264) :rule th_resolution :premises (t93 t92 t95 t96))
+(step t98 (cl (or @p_241 (! (= (! (divide$ @p_258 0.0) :named @p_268) (! (- (! (divide$ @p_2 0.0) :named @p_305)) :named @p_266)) :named @p_265))) :rule forall_inst :args ((:= veriT_vr18 @p_2) (:= veriT_vr19 0.0)))
+(anchor :step t99)
+(assume t99.h1 @p_265)
+(step t99.t2 (cl @p_267) :rule minus_simplify)
+(step t99.t3 (cl (= @p_268 (! (divide$ @p_3 0.0) :named @p_269))) :rule cong :premises (t99.t2))
+(step t99.t4 (cl (! (= @p_265 (! (= @p_266 @p_269) :named @p_270)) :named @p_271)) :rule cong :premises (t99.t3))
+(step t99.t5 (cl (not @p_271) (! (not @p_265) :named @p_272) @p_270) :rule equiv_pos2)
+(step t99.t6 (cl @p_270) :rule th_resolution :premises (t99.h1 t99.t4 t99.t5))
+(step t99 (cl @p_272 @p_270) :rule subproof :discharge (h1))
+(step t100 (cl @p_241 @p_265) :rule or :premises (t98))
+(step t101 (cl (! (or @p_241 @p_270) :named @p_273) @p_242) :rule or_neg)
+(step t102 (cl @p_273 @p_161) :rule th_resolution :premises (t75 t101))
+(step t103 (cl @p_273 (! (not @p_270) :named @p_528)) :rule or_neg)
+(step t104 (cl @p_273) :rule th_resolution :premises (t100 t99 t102 t103))
+(step t105 (cl (or @p_241 (! (= (! (divide$ @p_235 2.0) :named @p_562) (! (- (! (divide$ @p_234 2.0) :named @p_552)) :named @p_558)) :named @p_495))) :rule forall_inst :args ((:= veriT_vr18 @p_234) (:= veriT_vr19 2.0)))
+(step t106 (cl (or @p_241 (! (= (! (divide$ @p_236 2.0) :named @p_277) (! (- (! (divide$ 0.0 2.0) :named @p_275)) :named @p_276)) :named @p_274))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 2.0)))
+(anchor :step t107)
+(assume t107.h1 @p_274)
+(step t107.t2 (cl @p_249) :rule minus_simplify)
+(step t107.t3 (cl (= @p_277 @p_275)) :rule cong :premises (t107.t2))
+(step t107.t4 (cl (! (= @p_274 (! (= @p_275 @p_276) :named @p_278)) :named @p_279)) :rule cong :premises (t107.t3))
+(step t107.t5 (cl (not @p_279) (! (not @p_274) :named @p_280) @p_278) :rule equiv_pos2)
+(step t107.t6 (cl @p_278) :rule th_resolution :premises (t107.h1 t107.t4 t107.t5))
+(step t107 (cl @p_280 @p_278) :rule subproof :discharge (h1))
+(step t108 (cl @p_241 @p_274) :rule or :premises (t106))
+(step t109 (cl (! (or @p_241 @p_278) :named @p_281) @p_242) :rule or_neg)
+(step t110 (cl @p_281 @p_161) :rule th_resolution :premises (t75 t109))
+(step t111 (cl @p_281 (! (not @p_278) :named @p_510)) :rule or_neg)
+(step t112 (cl @p_281) :rule th_resolution :premises (t108 t107 t110 t111))
+(step t113 (cl (or @p_282 (! (= (! (< (! (divide$ @p_36 @p_36) :named @p_283) @p_283) :named @p_289) (! (and (! (=> (! (< 0.0 @p_36) :named @p_286) (! (< @p_36 @p_36) :named @p_284)) :named @p_290) (! (=> (! (< @p_36 0.0) :named @p_287) @p_284) :named @p_293) (! (not (! (= @p_36 0.0) :named @p_499)) :named @p_288)) :named @p_296)) :named @p_285))) :rule forall_inst :args ((:= veriT_vr13 @p_36) (:= veriT_vr14 @p_36) (:= veriT_vr15 @p_36)))
+(anchor :step t114)
+(assume t114.h1 @p_285)
+(step t114.t2 (cl (= @p_289 false)) :rule comp_simplify)
+(step t114.t3 (cl (= @p_284 false)) :rule comp_simplify)
+(step t114.t4 (cl (= @p_290 (! (=> @p_286 false) :named @p_291))) :rule cong :premises (t114.t3))
+(step t114.t5 (cl (= @p_291 (! (not @p_286) :named @p_292))) :rule implies_simplify)
+(step t114.t6 (cl (= @p_290 @p_292)) :rule trans :premises (t114.t4 t114.t5))
+(step t114.t7 (cl (= @p_293 (! (=> @p_287 false) :named @p_294))) :rule cong :premises (t114.t3))
+(step t114.t8 (cl (= @p_294 (! (not @p_287) :named @p_295))) :rule implies_simplify)
+(step t114.t9 (cl (= @p_293 @p_295)) :rule trans :premises (t114.t7 t114.t8))
+(step t114.t10 (cl (= @p_296 (! (and @p_292 @p_295 @p_288) :named @p_297))) :rule cong :premises (t114.t6 t114.t9))
+(step t114.t11 (cl (= @p_285 (! (= false @p_297) :named @p_298))) :rule cong :premises (t114.t2 t114.t10))
+(step t114.t12 (cl (= @p_298 (! (not @p_297) :named @p_299))) :rule equiv_simplify)
+(step t114.t13 (cl (! (= @p_285 @p_299) :named @p_300)) :rule trans :premises (t114.t11 t114.t12))
+(step t114.t14 (cl (not @p_300) (! (not @p_285) :named @p_301) @p_299) :rule equiv_pos2)
+(step t114.t15 (cl @p_299) :rule th_resolution :premises (t114.h1 t114.t13 t114.t14))
+(step t114 (cl @p_301 @p_299) :rule subproof :discharge (h1))
+(step t115 (cl @p_282 @p_285) :rule or :premises (t113))
+(step t116 (cl (! (or @p_282 @p_299) :named @p_303) @p_302) :rule or_neg)
+(step t117 (cl @p_303 @p_139) :rule th_resolution :premises (t79 t116))
+(step t118 (cl @p_303 (! (not @p_299) :named @p_304)) :rule or_neg)
+(step t119 (cl (not @p_304) @p_297) :rule not_not)
+(step t120 (cl @p_303 @p_297) :rule th_resolution :premises (t119 t118))
+(step t121 (cl @p_303) :rule th_resolution :premises (t115 t114 t117 t120))
+(step t122 (cl (or @p_282 (! (= (! (< (! (divide$ (! (diamond_y$ @p_3) :named @p_306) 0.0) :named @p_328) @p_305) :named @p_309) (! (and (! (=> (! (< 0.0 0.0) :named @p_307) (! (< @p_306 @p_2) :named @p_311)) :named @p_310) (! (=> @p_307 (! (< @p_2 @p_306) :named @p_314)) :named @p_313) (! (not (! (= 0.0 0.0) :named @p_316)) :named @p_317)) :named @p_319)) :named @p_308))) :rule forall_inst :args ((:= veriT_vr13 @p_306) (:= veriT_vr14 0.0) (:= veriT_vr15 @p_2)))
+(anchor :step t123)
+(assume t123.h1 @p_308)
+(step t123.t2 (cl (! (= @p_307 false) :named @p_331)) :rule comp_simplify)
+(step t123.t3 (cl (! (= @p_310 (! (=> false @p_311) :named @p_312)) :named @p_392)) :rule cong :premises (t123.t2))
+(step t123.t4 (cl (! (= @p_312 true) :named @p_393)) :rule implies_simplify)
+(step t123.t5 (cl (! (= @p_310 true) :named @p_394)) :rule trans :premises (t123.t3 t123.t4))
+(step t123.t6 (cl (! (= @p_313 (! (=> false @p_314) :named @p_315)) :named @p_389)) :rule cong :premises (t123.t2))
+(step t123.t7 (cl (! (= @p_315 true) :named @p_390)) :rule implies_simplify)
+(step t123.t8 (cl (! (= @p_313 true) :named @p_391)) :rule trans :premises (t123.t6 t123.t7))
+(step t123.t9 (cl (! (= @p_316 true) :named @p_338)) :rule eq_simplify)
+(step t123.t10 (cl (! (= @p_317 (! (not true) :named @p_318)) :named @p_339)) :rule cong :premises (t123.t9))
+(step t123.t11 (cl (! (= @p_318 false) :named @p_340)) :rule not_simplify)
+(step t123.t12 (cl (! (= @p_317 false) :named @p_341)) :rule trans :premises (t123.t10 t123.t11))
+(step t123.t13 (cl (= @p_319 (! (and true true false) :named @p_320))) :rule cong :premises (t123.t5 t123.t8 t123.t12))
+(step t123.t14 (cl (! (= @p_320 (! (and false) :named @p_321)) :named @p_343)) :rule and_simplify)
+(step t123.t15 (cl (! (= @p_321 false) :named @p_344)) :rule and_simplify)
+(step t123.t16 (cl (= @p_319 false)) :rule trans :premises (t123.t13 t123.t14 t123.t15))
+(step t123.t17 (cl (= @p_308 (! (= @p_309 false) :named @p_322))) :rule cong :premises (t123.t16))
+(step t123.t18 (cl (= @p_322 (! (not @p_309) :named @p_323))) :rule equiv_simplify)
+(step t123.t19 (cl (! (= @p_308 @p_323) :named @p_324)) :rule trans :premises (t123.t17 t123.t18))
+(step t123.t20 (cl (not @p_324) (! (not @p_308) :named @p_325) @p_323) :rule equiv_pos2)
+(step t123.t21 (cl @p_323) :rule th_resolution :premises (t123.h1 t123.t19 t123.t20))
+(step t123 (cl @p_325 @p_323) :rule subproof :discharge (h1))
+(step t124 (cl @p_282 @p_308) :rule or :premises (t122))
+(step t125 (cl (! (or @p_282 @p_323) :named @p_326) @p_302) :rule or_neg)
+(step t126 (cl @p_326 @p_139) :rule th_resolution :premises (t79 t125))
+(step t127 (cl @p_326 (! (not @p_323) :named @p_327)) :rule or_neg)
+(step t128 (cl (not @p_327) @p_309) :rule not_not)
+(step t129 (cl @p_326 @p_309) :rule th_resolution :premises (t128 t127))
+(step t130 (cl @p_326) :rule th_resolution :premises (t124 t123 t126 t129))
+(step t131 (cl (or @p_282 (! (= (! (< @p_328 @p_269) :named @p_330) (! (and (! (=> @p_307 (! (< @p_306 @p_3) :named @p_333)) :named @p_332) (! (=> @p_307 (! (< @p_3 @p_306) :named @p_336)) :named @p_335) @p_317) :named @p_342)) :named @p_329))) :rule forall_inst :args ((:= veriT_vr13 @p_306) (:= veriT_vr14 0.0) (:= veriT_vr15 @p_3)))
+(anchor :step t132)
+(assume t132.h1 @p_329)
+(step t132.t2 (cl @p_331) :rule comp_simplify)
+(step t132.t3 (cl (! (= @p_332 (! (=> false @p_333) :named @p_334)) :named @p_427)) :rule cong :premises (t132.t2))
+(step t132.t4 (cl (! (= @p_334 true) :named @p_428)) :rule implies_simplify)
+(step t132.t5 (cl (! (= @p_332 true) :named @p_429)) :rule trans :premises (t132.t3 t132.t4))
+(step t132.t6 (cl (! (= @p_335 (! (=> false @p_336) :named @p_337)) :named @p_424)) :rule cong :premises (t132.t2))
+(step t132.t7 (cl (! (= @p_337 true) :named @p_425)) :rule implies_simplify)
+(step t132.t8 (cl (! (= @p_335 true) :named @p_426)) :rule trans :premises (t132.t6 t132.t7))
+(step t132.t9 (cl @p_338) :rule eq_simplify)
+(step t132.t10 (cl @p_339) :rule cong :premises (t132.t9))
+(step t132.t11 (cl @p_340) :rule not_simplify)
+(step t132.t12 (cl @p_341) :rule trans :premises (t132.t10 t132.t11))
+(step t132.t13 (cl (= @p_342 @p_320)) :rule cong :premises (t132.t5 t132.t8 t132.t12))
+(step t132.t14 (cl @p_343) :rule and_simplify)
+(step t132.t15 (cl @p_344) :rule and_simplify)
+(step t132.t16 (cl (= @p_342 false)) :rule trans :premises (t132.t13 t132.t14 t132.t15))
+(step t132.t17 (cl (= @p_329 (! (= @p_330 false) :named @p_345))) :rule cong :premises (t132.t16))
+(step t132.t18 (cl (= @p_345 (! (not @p_330) :named @p_346))) :rule equiv_simplify)
+(step t132.t19 (cl (! (= @p_329 @p_346) :named @p_347)) :rule trans :premises (t132.t17 t132.t18))
+(step t132.t20 (cl (not @p_347) (! (not @p_329) :named @p_348) @p_346) :rule equiv_pos2)
+(step t132.t21 (cl @p_346) :rule th_resolution :premises (t132.h1 t132.t19 t132.t20))
+(step t132 (cl @p_348 @p_346) :rule subproof :discharge (h1))
+(step t133 (cl @p_282 @p_329) :rule or :premises (t131))
+(step t134 (cl (! (or @p_282 @p_346) :named @p_349) @p_302) :rule or_neg)
+(step t135 (cl @p_349 @p_139) :rule th_resolution :premises (t79 t134))
+(step t136 (cl @p_349 (! (not @p_346) :named @p_350)) :rule or_neg)
+(step t137 (cl (not @p_350) @p_330) :rule not_not)
+(step t138 (cl @p_349 @p_330) :rule th_resolution :premises (t137 t136))
+(step t139 (cl @p_349) :rule th_resolution :premises (t133 t132 t135 t138))
+(step t140 (cl (or @p_282 (! (= (! (< @p_328 (! (divide$ 2.0 0.0) :named @p_437)) :named @p_352) (! (and (! (=> @p_307 (! (< @p_306 2.0) :named @p_354)) :named @p_353) (! (=> @p_307 (! (< 2.0 @p_306) :named @p_357)) :named @p_356) @p_317) :named @p_359)) :named @p_351))) :rule forall_inst :args ((:= veriT_vr13 @p_306) (:= veriT_vr14 0.0) (:= veriT_vr15 2.0)))
+(anchor :step t141)
+(assume t141.h1 @p_351)
+(step t141.t2 (cl @p_331) :rule comp_simplify)
+(step t141.t3 (cl (! (= @p_353 (! (=> false @p_354) :named @p_355)) :named @p_443)) :rule cong :premises (t141.t2))
+(step t141.t4 (cl (! (= @p_355 true) :named @p_444)) :rule implies_simplify)
+(step t141.t5 (cl (! (= @p_353 true) :named @p_445)) :rule trans :premises (t141.t3 t141.t4))
+(step t141.t6 (cl (! (= @p_356 (! (=> false @p_357) :named @p_358)) :named @p_440)) :rule cong :premises (t141.t2))
+(step t141.t7 (cl (! (= @p_358 true) :named @p_441)) :rule implies_simplify)
+(step t141.t8 (cl (! (= @p_356 true) :named @p_442)) :rule trans :premises (t141.t6 t141.t7))
+(step t141.t9 (cl @p_338) :rule eq_simplify)
+(step t141.t10 (cl @p_339) :rule cong :premises (t141.t9))
+(step t141.t11 (cl @p_340) :rule not_simplify)
+(step t141.t12 (cl @p_341) :rule trans :premises (t141.t10 t141.t11))
+(step t141.t13 (cl (= @p_359 @p_320)) :rule cong :premises (t141.t5 t141.t8 t141.t12))
+(step t141.t14 (cl @p_343) :rule and_simplify)
+(step t141.t15 (cl @p_344) :rule and_simplify)
+(step t141.t16 (cl (= @p_359 false)) :rule trans :premises (t141.t13 t141.t14 t141.t15))
+(step t141.t17 (cl (= @p_351 (! (= @p_352 false) :named @p_360))) :rule cong :premises (t141.t16))
+(step t141.t18 (cl (= @p_360 (! (not @p_352) :named @p_361))) :rule equiv_simplify)
+(step t141.t19 (cl (! (= @p_351 @p_361) :named @p_362)) :rule trans :premises (t141.t17 t141.t18))
+(step t141.t20 (cl (not @p_362) (! (not @p_351) :named @p_363) @p_361) :rule equiv_pos2)
+(step t141.t21 (cl @p_361) :rule th_resolution :premises (t141.h1 t141.t19 t141.t20))
+(step t141 (cl @p_363 @p_361) :rule subproof :discharge (h1))
+(step t142 (cl @p_282 @p_351) :rule or :premises (t140))
+(step t143 (cl (! (or @p_282 @p_361) :named @p_364) @p_302) :rule or_neg)
+(step t144 (cl @p_364 @p_139) :rule th_resolution :premises (t79 t143))
+(step t145 (cl @p_364 (! (not @p_361) :named @p_365)) :rule or_neg)
+(step t146 (cl (not @p_365) @p_352) :rule not_not)
+(step t147 (cl @p_364 @p_352) :rule th_resolution :premises (t146 t145))
+(step t148 (cl @p_364) :rule th_resolution :premises (t142 t141 t144 t147))
+(step t149 (cl (or @p_282 (! (= (! (< @p_366 @p_275) :named @p_368) (! (and (! (=> (! (< 0.0 2.0) :named @p_370) (! (< @p_2 0.0) :named @p_369)) :named @p_371) (! (=> (! (< 2.0 0.0) :named @p_373) (! (< 0.0 @p_2) :named @p_375)) :named @p_374) (! (not (! (= 2.0 0.0) :named @p_377)) :named @p_378)) :named @p_380)) :named @p_367))) :rule forall_inst :args ((:= veriT_vr13 @p_2) (:= veriT_vr14 2.0) (:= veriT_vr15 0.0)))
+(anchor :step t150)
+(assume t150.h1 @p_367)
+(step t150.t2 (cl (! (= @p_370 true) :named @p_405)) :rule comp_simplify)
+(step t150.t3 (cl (= @p_371 (! (=> true @p_369) :named @p_372))) :rule cong :premises (t150.t2))
+(step t150.t4 (cl (= @p_372 @p_369)) :rule implies_simplify)
+(step t150.t5 (cl (= @p_371 @p_369)) :rule trans :premises (t150.t3 t150.t4))
+(step t150.t6 (cl (! (= @p_373 false) :named @p_408)) :rule comp_simplify)
+(step t150.t7 (cl (= @p_374 (! (=> false @p_375) :named @p_376))) :rule cong :premises (t150.t6))
+(step t150.t8 (cl (= @p_376 true)) :rule implies_simplify)
+(step t150.t9 (cl (= @p_374 true)) :rule trans :premises (t150.t7 t150.t8))
+(step t150.t10 (cl (! (= @p_377 false) :named @p_412)) :rule eq_simplify)
+(step t150.t11 (cl (! (= @p_378 @p_228) :named @p_413)) :rule cong :premises (t150.t10))
+(step t150.t12 (cl @p_379) :rule not_simplify)
+(step t150.t13 (cl (! (= @p_378 true) :named @p_414)) :rule trans :premises (t150.t11 t150.t12))
+(step t150.t14 (cl (= @p_380 (! (and @p_369 true true) :named @p_381))) :rule cong :premises (t150.t5 t150.t9 t150.t13))
+(step t150.t15 (cl (= @p_381 (! (and @p_369) :named @p_382))) :rule and_simplify)
+(step t150.t16 (cl (= @p_382 @p_369)) :rule and_simplify)
+(step t150.t17 (cl (= @p_380 @p_369)) :rule trans :premises (t150.t14 t150.t15 t150.t16))
+(step t150.t18 (cl (! (= @p_367 (! (= @p_368 @p_369) :named @p_383)) :named @p_384)) :rule cong :premises (t150.t17))
+(step t150.t19 (cl (not @p_384) (! (not @p_367) :named @p_385) @p_383) :rule equiv_pos2)
+(step t150.t20 (cl @p_383) :rule th_resolution :premises (t150.h1 t150.t18 t150.t19))
+(step t150 (cl @p_385 @p_383) :rule subproof :discharge (h1))
+(step t151 (cl @p_282 @p_367) :rule or :premises (t149))
+(step t152 (cl (! (or @p_282 @p_383) :named @p_386) @p_302) :rule or_neg)
+(step t153 (cl @p_386 @p_139) :rule th_resolution :premises (t79 t152))
+(step t154 (cl @p_386 (! (not @p_383) :named @p_500)) :rule or_neg)
+(step t155 (cl @p_386) :rule th_resolution :premises (t151 t150 t153 t154))
+(step t156 (cl (or @p_282 (! (= (! (< @p_305 @p_328) :named @p_388) (! (and @p_313 @p_310 @p_317) :named @p_395)) :named @p_387))) :rule forall_inst :args ((:= veriT_vr13 @p_2) (:= veriT_vr14 0.0) (:= veriT_vr15 @p_306)))
+(anchor :step t157)
+(assume t157.h1 @p_387)
+(step t157.t2 (cl @p_331) :rule comp_simplify)
+(step t157.t3 (cl @p_389) :rule cong :premises (t157.t2))
+(step t157.t4 (cl @p_390) :rule implies_simplify)
+(step t157.t5 (cl @p_391) :rule trans :premises (t157.t3 t157.t4))
+(step t157.t6 (cl @p_392) :rule cong :premises (t157.t2))
+(step t157.t7 (cl @p_393) :rule implies_simplify)
+(step t157.t8 (cl @p_394) :rule trans :premises (t157.t6 t157.t7))
+(step t157.t9 (cl @p_338) :rule eq_simplify)
+(step t157.t10 (cl @p_339) :rule cong :premises (t157.t9))
+(step t157.t11 (cl @p_340) :rule not_simplify)
+(step t157.t12 (cl @p_341) :rule trans :premises (t157.t10 t157.t11))
+(step t157.t13 (cl (= @p_395 @p_320)) :rule cong :premises (t157.t5 t157.t8 t157.t12))
+(step t157.t14 (cl @p_343) :rule and_simplify)
+(step t157.t15 (cl @p_344) :rule and_simplify)
+(step t157.t16 (cl (= @p_395 false)) :rule trans :premises (t157.t13 t157.t14 t157.t15))
+(step t157.t17 (cl (= @p_387 (! (= @p_388 false) :named @p_396))) :rule cong :premises (t157.t16))
+(step t157.t18 (cl (= @p_396 (! (not @p_388) :named @p_397))) :rule equiv_simplify)
+(step t157.t19 (cl (! (= @p_387 @p_397) :named @p_398)) :rule trans :premises (t157.t17 t157.t18))
+(step t157.t20 (cl (not @p_398) (! (not @p_387) :named @p_399) @p_397) :rule equiv_pos2)
+(step t157.t21 (cl @p_397) :rule th_resolution :premises (t157.h1 t157.t19 t157.t20))
+(step t157 (cl @p_399 @p_397) :rule subproof :discharge (h1))
+(step t158 (cl @p_282 @p_387) :rule or :premises (t156))
+(step t159 (cl (! (or @p_282 @p_397) :named @p_400) @p_302) :rule or_neg)
+(step t160 (cl @p_400 @p_139) :rule th_resolution :premises (t79 t159))
+(step t161 (cl @p_400 (! (not @p_397) :named @p_401)) :rule or_neg)
+(step t162 (cl (not @p_401) @p_388) :rule not_not)
+(step t163 (cl @p_400 @p_388) :rule th_resolution :premises (t162 t161))
+(step t164 (cl @p_400) :rule th_resolution :premises (t158 t157 t160 t163))
+(step t165 (cl (or @p_282 (! (= (! (< @p_260 (! (divide$ @p_36 2.0) :named @p_516)) :named @p_403) (! (and (! (=> @p_370 (! (< @p_3 @p_36) :named @p_404)) :named @p_406) (! (=> @p_373 (! (< @p_36 @p_3) :named @p_410)) :named @p_409) @p_378) :named @p_415)) :named @p_402))) :rule forall_inst :args ((:= veriT_vr13 @p_3) (:= veriT_vr14 2.0) (:= veriT_vr15 @p_36)))
+(anchor :step t166)
+(assume t166.h1 @p_402)
+(step t166.t2 (cl @p_405) :rule comp_simplify)
+(step t166.t3 (cl (= @p_406 (! (=> true @p_404) :named @p_407))) :rule cong :premises (t166.t2))
+(step t166.t4 (cl (= @p_407 @p_404)) :rule implies_simplify)
+(step t166.t5 (cl (= @p_406 @p_404)) :rule trans :premises (t166.t3 t166.t4))
+(step t166.t6 (cl @p_408) :rule comp_simplify)
+(step t166.t7 (cl (= @p_409 (! (=> false @p_410) :named @p_411))) :rule cong :premises (t166.t6))
+(step t166.t8 (cl (= @p_411 true)) :rule implies_simplify)
+(step t166.t9 (cl (= @p_409 true)) :rule trans :premises (t166.t7 t166.t8))
+(step t166.t10 (cl @p_412) :rule eq_simplify)
+(step t166.t11 (cl @p_413) :rule cong :premises (t166.t10))
+(step t166.t12 (cl @p_379) :rule not_simplify)
+(step t166.t13 (cl @p_414) :rule trans :premises (t166.t11 t166.t12))
+(step t166.t14 (cl (= @p_415 (! (and @p_404 true true) :named @p_416))) :rule cong :premises (t166.t5 t166.t9 t166.t13))
+(step t166.t15 (cl (= @p_416 (! (and @p_404) :named @p_417))) :rule and_simplify)
+(step t166.t16 (cl (= @p_417 @p_404)) :rule and_simplify)
+(step t166.t17 (cl (= @p_415 @p_404)) :rule trans :premises (t166.t14 t166.t15 t166.t16))
+(step t166.t18 (cl (! (= @p_402 (! (= @p_403 @p_404) :named @p_418)) :named @p_419)) :rule cong :premises (t166.t17))
+(step t166.t19 (cl (not @p_419) (! (not @p_402) :named @p_420) @p_418) :rule equiv_pos2)
+(step t166.t20 (cl @p_418) :rule th_resolution :premises (t166.h1 t166.t18 t166.t19))
+(step t166 (cl @p_420 @p_418) :rule subproof :discharge (h1))
+(step t167 (cl @p_282 @p_402) :rule or :premises (t165))
+(step t168 (cl (! (or @p_282 @p_418) :named @p_421) @p_302) :rule or_neg)
+(step t169 (cl @p_421 @p_139) :rule th_resolution :premises (t79 t168))
+(step t170 (cl @p_421 (! (not @p_418) :named @p_501)) :rule or_neg)
+(step t171 (cl @p_421) :rule th_resolution :premises (t167 t166 t169 t170))
+(step t172 (cl (or @p_282 (! (= (! (< @p_269 @p_328) :named @p_423) (! (and @p_335 @p_332 @p_317) :named @p_430)) :named @p_422))) :rule forall_inst :args ((:= veriT_vr13 @p_3) (:= veriT_vr14 0.0) (:= veriT_vr15 @p_306)))
+(anchor :step t173)
+(assume t173.h1 @p_422)
+(step t173.t2 (cl @p_331) :rule comp_simplify)
+(step t173.t3 (cl @p_424) :rule cong :premises (t173.t2))
+(step t173.t4 (cl @p_425) :rule implies_simplify)
+(step t173.t5 (cl @p_426) :rule trans :premises (t173.t3 t173.t4))
+(step t173.t6 (cl @p_427) :rule cong :premises (t173.t2))
+(step t173.t7 (cl @p_428) :rule implies_simplify)
+(step t173.t8 (cl @p_429) :rule trans :premises (t173.t6 t173.t7))
+(step t173.t9 (cl @p_338) :rule eq_simplify)
+(step t173.t10 (cl @p_339) :rule cong :premises (t173.t9))
+(step t173.t11 (cl @p_340) :rule not_simplify)
+(step t173.t12 (cl @p_341) :rule trans :premises (t173.t10 t173.t11))
+(step t173.t13 (cl (= @p_430 @p_320)) :rule cong :premises (t173.t5 t173.t8 t173.t12))
+(step t173.t14 (cl @p_343) :rule and_simplify)
+(step t173.t15 (cl @p_344) :rule and_simplify)
+(step t173.t16 (cl (= @p_430 false)) :rule trans :premises (t173.t13 t173.t14 t173.t15))
+(step t173.t17 (cl (= @p_422 (! (= @p_423 false) :named @p_431))) :rule cong :premises (t173.t16))
+(step t173.t18 (cl (= @p_431 (! (not @p_423) :named @p_432))) :rule equiv_simplify)
+(step t173.t19 (cl (! (= @p_422 @p_432) :named @p_433)) :rule trans :premises (t173.t17 t173.t18))
+(step t173.t20 (cl (not @p_433) (! (not @p_422) :named @p_434) @p_432) :rule equiv_pos2)
+(step t173.t21 (cl @p_432) :rule th_resolution :premises (t173.h1 t173.t19 t173.t20))
+(step t173 (cl @p_434 @p_432) :rule subproof :discharge (h1))
+(step t174 (cl @p_282 @p_422) :rule or :premises (t172))
+(step t175 (cl (! (or @p_282 @p_432) :named @p_435) @p_302) :rule or_neg)
+(step t176 (cl @p_435 @p_139) :rule th_resolution :premises (t79 t175))
+(step t177 (cl @p_435 (! (not @p_432) :named @p_436)) :rule or_neg)
+(step t178 (cl (not @p_436) @p_423) :rule not_not)
+(step t179 (cl @p_435 @p_423) :rule th_resolution :premises (t178 t177))
+(step t180 (cl @p_435) :rule th_resolution :premises (t174 t173 t176 t179))
+(step t181 (cl (or @p_282 (! (= (! (< @p_437 @p_328) :named @p_439) (! (and @p_356 @p_353 @p_317) :named @p_446)) :named @p_438))) :rule forall_inst :args ((:= veriT_vr13 2.0) (:= veriT_vr14 0.0) (:= veriT_vr15 @p_306)))
+(anchor :step t182)
+(assume t182.h1 @p_438)
+(step t182.t2 (cl @p_331) :rule comp_simplify)
+(step t182.t3 (cl @p_440) :rule cong :premises (t182.t2))
+(step t182.t4 (cl @p_441) :rule implies_simplify)
+(step t182.t5 (cl @p_442) :rule trans :premises (t182.t3 t182.t4))
+(step t182.t6 (cl @p_443) :rule cong :premises (t182.t2))
+(step t182.t7 (cl @p_444) :rule implies_simplify)
+(step t182.t8 (cl @p_445) :rule trans :premises (t182.t6 t182.t7))
+(step t182.t9 (cl @p_338) :rule eq_simplify)
+(step t182.t10 (cl @p_339) :rule cong :premises (t182.t9))
+(step t182.t11 (cl @p_340) :rule not_simplify)
+(step t182.t12 (cl @p_341) :rule trans :premises (t182.t10 t182.t11))
+(step t182.t13 (cl (= @p_446 @p_320)) :rule cong :premises (t182.t5 t182.t8 t182.t12))
+(step t182.t14 (cl @p_343) :rule and_simplify)
+(step t182.t15 (cl @p_344) :rule and_simplify)
+(step t182.t16 (cl (= @p_446 false)) :rule trans :premises (t182.t13 t182.t14 t182.t15))
+(step t182.t17 (cl (= @p_438 (! (= @p_439 false) :named @p_447))) :rule cong :premises (t182.t16))
+(step t182.t18 (cl (= @p_447 (! (not @p_439) :named @p_448))) :rule equiv_simplify)
+(step t182.t19 (cl (! (= @p_438 @p_448) :named @p_449)) :rule trans :premises (t182.t17 t182.t18))
+(step t182.t20 (cl (not @p_449) (! (not @p_438) :named @p_450) @p_448) :rule equiv_pos2)
+(step t182.t21 (cl @p_448) :rule th_resolution :premises (t182.h1 t182.t19 t182.t20))
+(step t182 (cl @p_450 @p_448) :rule subproof :discharge (h1))
+(step t183 (cl @p_282 @p_438) :rule or :premises (t181))
+(step t184 (cl (! (or @p_282 @p_448) :named @p_451) @p_302) :rule or_neg)
+(step t185 (cl @p_451 @p_139) :rule th_resolution :premises (t79 t184))
+(step t186 (cl @p_451 (! (not @p_448) :named @p_452)) :rule or_neg)
+(step t187 (cl (not @p_452) @p_439) :rule not_not)
+(step t188 (cl @p_451 @p_439) :rule th_resolution :premises (t187 t186))
+(step t189 (cl @p_451) :rule th_resolution :premises (t183 t182 t185 t188))
+(step t190 (cl (or @p_282 (! (= (! (< @p_275 @p_3) :named @p_455) (! (and (! (=> @p_370 @p_453) :named @p_456) (! (=> @p_373 (! (< d$ 0.0) :named @p_459)) :named @p_458) @p_378) :named @p_461)) :named @p_454))) :rule forall_inst :args ((:= veriT_vr13 0.0) (:= veriT_vr14 2.0) (:= veriT_vr15 d$)))
+(anchor :step t191)
+(assume t191.h1 @p_454)
+(step t191.t2 (cl @p_405) :rule comp_simplify)
+(step t191.t3 (cl (= @p_456 (! (=> true @p_453) :named @p_457))) :rule cong :premises (t191.t2))
+(step t191.t4 (cl (= @p_457 @p_453)) :rule implies_simplify)
+(step t191.t5 (cl (= @p_456 @p_453)) :rule trans :premises (t191.t3 t191.t4))
+(step t191.t6 (cl @p_408) :rule comp_simplify)
+(step t191.t7 (cl (= @p_458 (! (=> false @p_459) :named @p_460))) :rule cong :premises (t191.t6))
+(step t191.t8 (cl (= @p_460 true)) :rule implies_simplify)
+(step t191.t9 (cl (= @p_458 true)) :rule trans :premises (t191.t7 t191.t8))
+(step t191.t10 (cl @p_412) :rule eq_simplify)
+(step t191.t11 (cl @p_413) :rule cong :premises (t191.t10))
+(step t191.t12 (cl @p_379) :rule not_simplify)
+(step t191.t13 (cl @p_414) :rule trans :premises (t191.t11 t191.t12))
+(step t191.t14 (cl (= @p_461 (! (and @p_453 true true) :named @p_462))) :rule cong :premises (t191.t5 t191.t9 t191.t13))
+(step t191.t15 (cl (= @p_462 (! (and @p_453) :named @p_463))) :rule and_simplify)
+(step t191.t16 (cl (= @p_463 @p_453)) :rule and_simplify)
+(step t191.t17 (cl (= @p_461 @p_453)) :rule trans :premises (t191.t14 t191.t15 t191.t16))
+(step t191.t18 (cl (! (= @p_454 (! (= @p_455 @p_453) :named @p_464)) :named @p_465)) :rule cong :premises (t191.t17))
+(step t191.t19 (cl (not @p_465) (! (not @p_454) :named @p_466) @p_464) :rule equiv_pos2)
+(step t191.t20 (cl @p_464) :rule th_resolution :premises (t191.h1 t191.t18 t191.t19))
+(step t191 (cl @p_466 @p_464) :rule subproof :discharge (h1))
+(step t192 (cl @p_282 @p_454) :rule or :premises (t190))
+(step t193 (cl (! (or @p_282 @p_464) :named @p_467) @p_302) :rule or_neg)
+(step t194 (cl @p_467 @p_139) :rule th_resolution :premises (t79 t193))
+(step t195 (cl @p_467 (! (not @p_464) :named @p_502)) :rule or_neg)
+(step t196 (cl @p_467) :rule th_resolution :premises (t192 t191 t194 t195))
+(step t197 (cl (not (! (not (! (not @p_84) :named @p_468)) :named @p_479)) @p_84) :rule not_not)
+(step t198 (cl (or @p_468 (! (= @p_36 (! (- @p_3 (! (ite @p_369 @p_258 @p_2) :named @p_471)) :named @p_472)) :named @p_469))) :rule forall_inst :args ((:= veriT_vr9 @p_2)))
+(anchor :step t199)
+(assume t199.h1 @p_469)
+(step t199.t2 (cl @p_267) :rule minus_simplify)
+(step t199.t3 (cl (= @p_471 (! (ite @p_369 @p_3 @p_2) :named @p_470))) :rule cong :premises (t199.t2))
+(step t199.t4 (cl (= @p_472 (! (- @p_3 @p_470) :named @p_473))) :rule cong :premises (t199.t3))
+(step t199.t5 (cl (! (= @p_469 (! (= @p_36 @p_473) :named @p_476)) :named @p_474)) :rule cong :premises (t199.t4))
+(step t199.t6 (cl (not @p_474) (! (not @p_469) :named @p_475) @p_476) :rule equiv_pos2)
+(step t199.t7 (cl @p_476) :rule th_resolution :premises (t199.h1 t199.t5 t199.t6))
+(step t199.t8 (cl (! (= @p_476 (! (and (! (= @p_36 (- @p_3 @p_470)) :named @p_504) (! (ite @p_369 (! (= @p_3 @p_470) :named @p_507) (= @p_2 @p_470)) :named @p_505)) :named @p_477)) :named @p_478)) :rule ite_intro)
+(step t199.t9 (cl (not @p_478) (not @p_476) @p_477) :rule equiv_pos2)
+(step t199.t10 (cl @p_477) :rule th_resolution :premises (t199.t7 t199.t8 t199.t9))
+(step t199 (cl @p_475 @p_477) :rule subproof :discharge (h1))
+(step t200 (cl @p_468 @p_469) :rule or :premises (t198))
+(step t201 (cl (! (or @p_468 @p_477) :named @p_480) @p_479) :rule or_neg)
+(step t202 (cl @p_480 @p_84) :rule th_resolution :premises (t197 t201))
+(step t203 (cl @p_480 (! (not @p_477) :named @p_503)) :rule or_neg)
+(step t204 (cl @p_480) :rule th_resolution :premises (t200 t199 t202 t203))
+(step t205 (cl (or (! (not @p_60) :named @p_508) (! (= (! (fun_app$ uub$ @p_7) :named @p_543) (! (pair$ @p_2 (! (times$ (- (* 2.0 @p_7) 1.0) @p_36) :named @p_535)) :named @p_534)) :named @p_509))) :rule forall_inst :args ((:= veriT_vr7 @p_7)))
+(step t206 (cl (or (! (not @p_34) :named @p_492) (! (= (! (fun_app$ uuc$ @p_7) :named @p_483) (! (pair$ (! (times$ (! (- @p_7 @p_7) :named @p_484) d$) :named @p_481) (! (diamond_y$ @p_481) :named @p_485)) :named @p_487)) :named @p_482))) :rule forall_inst :args ((:= veriT_vr1 @p_7)))
+(anchor :step t207)
+(assume t207.h1 @p_482)
+(step t207.t2 (cl (= 0.0 @p_484)) :rule minus_simplify)
+(step t207.t3 (cl (= @p_247 @p_481)) :rule cong :premises (t207.t2))
+(step t207.t4 (cl (= @p_485 (! (diamond_y$ @p_247) :named @p_486))) :rule cong :premises (t207.t3))
+(step t207.t5 (cl (= @p_487 (! (pair$ @p_247 @p_486) :named @p_488))) :rule cong :premises (t207.t3 t207.t4))
+(step t207.t6 (cl (! (= @p_482 (! (= @p_483 @p_488) :named @p_489)) :named @p_490)) :rule cong :premises (t207.t5))
+(step t207.t7 (cl (not @p_490) (! (not @p_482) :named @p_491) @p_489) :rule equiv_pos2)
+(step t207.t8 (cl @p_489) :rule th_resolution :premises (t207.h1 t207.t6 t207.t7))
+(step t207 (cl @p_491 @p_489) :rule subproof :discharge (h1))
+(step t208 (cl @p_492 @p_482) :rule or :premises (t206))
+(step t209 (cl (! (or @p_492 @p_489) :named @p_494) (! (not @p_492) :named @p_493)) :rule or_neg)
+(step t210 (cl (not @p_493) @p_34) :rule not_not)
+(step t211 (cl @p_494 @p_34) :rule th_resolution :premises (t210 t209))
+(step t212 (cl @p_494 (! (not @p_489) :named @p_544)) :rule or_neg)
+(step t213 (cl @p_494) :rule th_resolution :premises (t208 t207 t211 t212))
+(step t214 (cl @p_245 @p_251) :rule or :premises (t90))
+(step t215 (cl @p_251) :rule resolution :premises (t214 t48))
+(step t216 (cl @p_241 @p_261) :rule or :premises (t97))
+(step t217 (cl @p_261) :rule resolution :premises (t216 t42))
+(step t218 (cl @p_241 @p_270) :rule or :premises (t104))
+(step t219 (cl @p_270) :rule resolution :premises (t218 t42))
+(step t220 (cl @p_241 @p_495) :rule or :premises (t105))
+(step t221 (cl @p_495) :rule resolution :premises (t220 t42))
+(step t222 (cl @p_241 @p_278) :rule or :premises (t112))
+(step t223 (cl @p_278) :rule resolution :premises (t222 t42))
+(step t224 (cl @p_297 (! (not @p_292) :named @p_496) (! (not @p_295) :named @p_497) (! (not @p_288) :named @p_498)) :rule and_neg)
+(step t225 (cl (not @p_496) @p_286) :rule not_not)
+(step t226 (cl @p_297 @p_286 @p_497 @p_498) :rule th_resolution :premises (t225 t224))
+(step t227 (cl (not @p_497) @p_287) :rule not_not)
+(step t228 (cl @p_297 @p_286 @p_287 @p_498) :rule th_resolution :premises (t227 t226))
+(step t229 (cl (not @p_498) @p_499) :rule not_not)
+(step t230 (cl @p_297 @p_286 @p_287 @p_499) :rule th_resolution :premises (t229 t228))
+(step t231 (cl @p_282 @p_299) :rule or :premises (t121))
+(step t232 (cl @p_299) :rule resolution :premises (t231 t36))
+(step t233 (cl @p_282 @p_323) :rule or :premises (t130))
+(step t234 (cl @p_323) :rule resolution :premises (t233 t36))
+(step t235 (cl @p_282 @p_346) :rule or :premises (t139))
+(step t236 (cl @p_346) :rule resolution :premises (t235 t36))
+(step t237 (cl @p_282 @p_361) :rule or :premises (t148))
+(step t238 (cl @p_361) :rule resolution :premises (t237 t36))
+(step t239 (cl @p_500 @p_368 (! (not @p_369) :named @p_506)) :rule equiv_pos1)
+(step t240 (cl @p_282 @p_383) :rule or :premises (t155))
+(step t241 (cl @p_383) :rule resolution :premises (t240 t36))
+(step t242 (cl @p_282 @p_397) :rule or :premises (t164))
+(step t243 (cl @p_397) :rule resolution :premises (t242 t36))
+(step t244 (cl @p_501 (! (not @p_403) :named @p_519) @p_404) :rule equiv_pos2)
+(step t245 (cl @p_282 @p_418) :rule or :premises (t171))
+(step t246 (cl @p_418) :rule resolution :premises (t245 t36))
+(step t247 (cl @p_282 @p_432) :rule or :premises (t180))
+(step t248 (cl @p_432) :rule resolution :premises (t247 t36))
+(step t249 (cl @p_282 @p_448) :rule or :premises (t189))
+(step t250 (cl @p_448) :rule resolution :premises (t249 t36))
+(step t251 (cl @p_502 @p_455 (not @p_453)) :rule equiv_pos1)
+(step t252 (cl @p_282 @p_464) :rule or :premises (t196))
+(step t253 (cl @p_502 @p_455) :rule resolution :premises (t251 axiom4))
+(step t254 (cl @p_464) :rule resolution :premises (t252 t36))
+(step t255 (cl @p_455) :rule resolution :premises (t253 t254))
+(step t256 (cl @p_503 @p_504) :rule and_pos)
+(step t257 (cl (not @p_505) @p_506 @p_507) :rule ite_pos2)
+(step t258 (cl @p_503 @p_505) :rule and_pos)
+(step t259 (cl @p_468 @p_477) :rule or :premises (t204))
+(step t260 (cl @p_477) :rule resolution :premises (t259 t27))
+(step t261 (cl @p_504) :rule resolution :premises (t256 t260))
+(step t262 (cl @p_505) :rule resolution :premises (t258 t260))
+(step t263 (cl @p_508 @p_509) :rule or :premises (t205))
+(step t264 (cl @p_509) :rule resolution :premises (t263 t21))
+(step t265 (cl @p_492 @p_489) :rule or :premises (t213))
+(step t266 (cl @p_489) :rule resolution :premises (t265 t15))
+(step t267 (cl (! (= 2.0 2.0) :named @p_515)) :rule eq_reflexive)
+(step t268 (cl (not @p_455) @p_369 @p_510) :rule la_generic :args (2.0 2.0 1))
+(step t269 (cl @p_369) :rule resolution :premises (t268 t223 t255))
+(step t270 (cl @p_368) :rule resolution :premises (t239 t269 t241))
+(step t271 (cl @p_507) :rule resolution :premises (t257 t269 t262))
+(step t272 (cl (! (= @p_2 @p_2) :named @p_513)) :rule eq_reflexive)
+(step t273 (cl @p_295 (! (not @p_504) :named @p_511) (! (not @p_507) :named @p_512)) :rule la_generic :args (1.0 1 1))
+(step t274 (cl @p_295) :rule resolution :premises (t273 t261 t271))
+(step t275 (cl @p_292 @p_511 @p_512) :rule la_generic :args (1.0 (- 1) (- 1)))
+(step t276 (cl @p_292) :rule resolution :premises (t275 t261 t271))
+(step t277 (cl @p_499) :rule resolution :premises (t230 t276 t232 t274))
+(step t278 (cl (not @p_513) @p_288 (! (< @p_2 @p_36) :named @p_514) @p_506) :rule eq_congruent_pred)
+(step t279 (cl @p_288 @p_514 @p_506) :rule th_resolution :premises (t278 t272))
+(step t280 (cl @p_514) :rule resolution :premises (t279 t277 t269))
+(step t281 (cl @p_288 (! (not @p_515) :named @p_551) (! (= @p_516 @p_275) :named @p_517)) :rule eq_congruent)
+(step t282 (cl @p_288 @p_517) :rule th_resolution :premises (t281 t267))
+(step t283 (cl (! (= @p_7 @p_7) :named @p_546)) :rule eq_reflexive)
+(step t284 (cl (! (not @p_404) :named @p_518) (not @p_514) @p_511 @p_512) :rule la_generic :args (1.0 1.0 (- 2) (- 2)))
+(step t285 (cl @p_518) :rule resolution :premises (t284 t280 t261 t271))
+(step t286 (cl @p_519) :rule resolution :premises (t244 t285 t246))
+(step t287 (cl (or (! (= @p_234 @p_437) :named @p_520) (! (not (! (<= @p_234 @p_437) :named @p_529)) :named @p_521) (! (not (! (<= @p_437 @p_234) :named @p_526)) :named @p_522))) :rule la_disequality)
+(step t288 (cl @p_520 @p_521 @p_522) :rule or :premises (t287))
+(step t289 (cl (or (! (= @p_247 @p_437) :named @p_523) (! (not (! (<= @p_247 @p_437) :named @p_532)) :named @p_524) (! (not (! (<= @p_437 @p_247) :named @p_530)) :named @p_525))) :rule la_disequality)
+(step t290 (cl @p_523 @p_524 @p_525) :rule or :premises (t289))
+(step t291 (cl @p_388 @p_423 @p_352 @p_526 @p_527 @p_528) :rule la_generic :args (1.0 1.0 2.0 2.0 1 1))
+(step t292 (cl @p_526) :rule resolution :premises (t291 t81 t219 t238 t243 t248))
+(step t293 (cl @p_309 @p_330 @p_439 @p_529 @p_527 @p_528) :rule la_generic :args (1.0 1.0 2.0 2.0 (- 1) (- 1)))
+(step t294 (cl @p_529) :rule resolution :premises (t293 t81 t219 t234 t236 t250))
+(step t295 (cl @p_520) :rule resolution :premises (t288 t294 t292))
+(step t296 (cl @p_388 @p_423 @p_352 @p_530 @p_531 @p_528) :rule la_generic :args (1.0 1.0 2.0 2.0 1 1))
+(step t297 (cl @p_530) :rule resolution :premises (t296 t215 t219 t238 t243 t248))
+(step t298 (cl @p_309 @p_330 @p_439 @p_532 @p_531 @p_528) :rule la_generic :args (1.0 1.0 2.0 2.0 (- 1) (- 1)))
+(step t299 (cl @p_532) :rule resolution :premises (t298 t215 t219 t234 t236 t250))
+(step t300 (cl @p_523) :rule resolution :premises (t290 t299 t297))
+(step t301 (cl @p_244 @p_533) :rule or :premises (t70))
+(step t302 (cl (or (! (not @p_533) :named @p_536) (! (or (! (not (! (= @p_534 @p_488) :named @p_545)) :named @p_541) (! (= @p_2 @p_247) :named @p_542)) :named @p_537))) :rule forall_inst :args ((:= veriT_vr28 @p_247) (:= veriT_vr29 @p_486) (:= veriT_vr30 @p_2) (:= veriT_vr31 @p_535)))
+(step t303 (cl @p_536 @p_537) :rule or :premises (t302))
+(step t304 (cl (! (or @p_244 @p_537) :named @p_539) @p_538) :rule or_neg)
+(step t305 (cl @p_539 @p_218) :rule th_resolution :premises (t82 t304))
+(step t306 (cl @p_539 (! (not @p_537) :named @p_540)) :rule or_neg)
+(step t307 (cl @p_539) :rule th_resolution :premises (t301 t303 t305 t306))
+(step t308 (cl @p_540 @p_541 @p_542) :rule or_pos)
+(step t309 (cl @p_244 @p_537) :rule or :premises (t307))
+(step t310 (cl @p_537) :rule resolution :premises (t309 t54))
+(step t311 (cl (! (not @p_509) :named @p_549) (not (! (= @p_543 @p_483) :named @p_547)) @p_544 @p_545) :rule eq_transitive)
+(step t312 (cl (! (not @p_227) :named @p_548) (not @p_546) @p_547) :rule eq_congruent)
+(step t313 (cl @p_548 @p_547) :rule th_resolution :premises (t312 t283))
+(step t314 (cl @p_549 @p_544 @p_545 @p_548) :rule th_resolution :premises (t311 t313))
+(step t315 (cl @p_545) :rule resolution :premises (t314 t69 t264 t266))
+(step t316 (cl @p_542) :rule resolution :premises (t308 t315 t310))
+(step t317 (cl (! (not @p_542) :named @p_555) (! (not @p_523) :named @p_556) (! (not @p_520) :named @p_557) (! (= @p_2 @p_234) :named @p_550)) :rule eq_transitive)
+(step t318 (cl (! (not @p_550) :named @p_553) @p_551 (! (= @p_366 @p_552) :named @p_554)) :rule eq_congruent)
+(step t319 (cl @p_553 @p_554) :rule th_resolution :premises (t318 t267))
+(step t320 (cl @p_554 @p_555 @p_556 @p_557) :rule th_resolution :premises (t319 t317))
+(step t321 (cl @p_555 @p_556 @p_557 @p_527 (! (= @p_2 @p_235) :named @p_565)) :rule eq_transitive)
+(step t322 (cl (not @p_554) (! (= @p_257 @p_558) :named @p_559)) :rule eq_congruent)
+(step t323 (cl @p_559 @p_555 @p_556 @p_557) :rule th_resolution :premises (t322 t320))
+(step t324 (cl (! (not (! (= @p_366 @p_260) :named @p_564)) :named @p_560) (not @p_517) (! (not @p_368) :named @p_561) @p_403) :rule eq_congruent_pred)
+(step t325 (cl @p_560 @p_561 @p_403 @p_288) :rule th_resolution :premises (t324 t282))
+(step t326 (cl (not (! (= @p_366 @p_562) :named @p_566)) (! (not @p_495) :named @p_568) (! (not @p_559) :named @p_569) @p_563 @p_564) :rule eq_transitive)
+(step t327 (cl (! (not @p_565) :named @p_567) @p_551 @p_566) :rule eq_congruent)
+(step t328 (cl @p_567 @p_566) :rule th_resolution :premises (t327 t267))
+(step t329 (cl @p_566 @p_555 @p_556 @p_557 @p_527) :rule th_resolution :premises (t328 t321))
+(step t330 (cl @p_568 @p_569 @p_563 @p_564 @p_555 @p_556 @p_557 @p_527) :rule th_resolution :premises (t326 t329))
+(step t331 (cl @p_568 @p_563 @p_564 @p_555 @p_556 @p_557 @p_527 @p_555 @p_556 @p_557) :rule th_resolution :premises (t330 t323))
+(step t332 (cl @p_568 @p_563 @p_564 @p_555 @p_556 @p_557 @p_527) :rule contraction :premises (t331))
+(step t333 (cl @p_561 @p_403 @p_288 @p_568 @p_563 @p_555 @p_556 @p_557 @p_527) :rule th_resolution :premises (t325 t332))
+(step t334 (cl) :rule resolution :premises (t333 t81 t217 t221 t277 t270 t286 t295 t300 t316))
+6120eaf40c2621e298051bc401bc258d4c6ef4d6 323 0
+unsat
+(assume axiom1 (! (not (! (=> (! (forall ((?v0 Real_a_fun$) (?v1 B_list$)) (! (= (! (=> (! (and (! (= (! (rec_join$ ?v1) :named @p_3) ?v0) :named @p_68) (! (and (! (=> (! (and (! (= ?v1 nil$) :named @p_4) (! (= uu$ ?v0) :named @p_72)) :named @p_74) false) :named @p_76) (! (and (! (forall ((?v2 B$)) (! (=> (! (and (! (= ?v1 (! (cons$ ?v2 nil$) :named @p_8)) :named @p_5) (! (= ?v0 (! (coeff_cube_to_path$ ?v2) :named @p_1)) :named @p_82)) :named @p_84) false) :named @p_86)) :named @p_78) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and (! (= ?v1 (! (cons$ ?v2 (! (cons$ ?v3 ?v4) :named @p_2)) :named @p_9)) :named @p_6) (! (= ?v0 (! (joinpaths$ @p_1 (! (rec_join$ @p_2) :named @p_95)) :named @p_7)) :named @p_97)) :named @p_99) false) :named @p_101)) :named @p_88)) :named @p_103)) :named @p_105)) :named @p_107) false) :named @p_109) (! (=> (! (and (! (= @p_3 @p_3) :named @p_112) (! (and (! (=> (! (and @p_4 (! (= uu$ @p_3) :named @p_115)) :named @p_117) false) :named @p_119) (! (and (! (forall ((?v2 B$)) (! (=> (! (and @p_5 (! (= @p_3 @p_1) :named @p_125)) :named @p_127) false) :named @p_129)) :named @p_121) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and @p_6 (! (= @p_3 @p_7) :named @p_137)) :named @p_139) false) :named @p_141)) :named @p_131)) :named @p_143)) :named @p_145)) :named @p_147) false) :named @p_149)) :named @p_151)) :named @p_53) (! (= (! (forall ((?v0 B_list$) (?v1 Real_a_fun$)) (! (=> (! (and (! (= (! (rec_join$ ?v0) :named @p_10) ?v1) :named @p_19) (! (and (! (=> (! (and (! (= nil$ ?v0) :named @p_11) (! (= uu$ ?v1) :named @p_20)) :named @p_22) false) :named @p_24) (! (and (! (forall ((?v2 B$)) (! (=> (! (and (! (= @p_8 ?v0) :named @p_17) (! (= @p_1 ?v1) :named @p_27)) :named @p_29) false) :named @p_31)) :named @p_25) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and (! (= @p_9 ?v0) :named @p_18) (! (= @p_7 ?v1) :named @p_35)) :named @p_37) false) :named @p_39)) :named @p_33)) :named @p_41)) :named @p_43)) :named @p_45) false) :named @p_47)) :named @p_14) (! (forall ((?v0 B_list$)) (! (=> (! (and (! (= @p_10 @p_10) :named @p_15) (! (and (! (=> (! (and @p_11 (! (= uu$ @p_10) :named @p_21)) :named @p_23) false) :named @p_16) (! (and (! (forall ((?v1 B$)) (! (=> (! (and (! (= ?v0 (! (cons$ ?v1 nil$) :named @p_162)) :named @p_163) (! (= @p_10 (! (coeff_cube_to_path$ ?v1) :named @p_12)) :named @p_165)) :named @p_166) false) :named @p_167)) :named @p_161) (! (forall ((?v1 B$) (?v2 B$) (?v3 B_list$)) (! (=> (! (and (! (= ?v0 (! (cons$ ?v1 (! (cons$ ?v2 ?v3) :named @p_13)) :named @p_169)) :named @p_170) (! (= @p_10 (! (joinpaths$ @p_12 (! (rec_join$ @p_13) :named @p_175)) :named @p_176)) :named @p_177)) :named @p_178) false) :named @p_179)) :named @p_168)) :named @p_180)) :named @p_181)) :named @p_182) false) :named @p_183)) :named @p_51)) :named @p_49)) :named @p_52)) :named @p_55))
 (anchor :step t2 :args ((?v0 B_list$) (:= (?v1 Real_a_fun$) @p_10)))
 (step t2.t1 (cl @p_19) :rule refl)
 (step t2.t2 (cl (= @p_19 @p_15)) :rule cong :premises (t2.t1))
@@ -7429,7 +7468,7 @@
 (step t6 (cl (! (not @p_57) :named @p_60) (! (not @p_55) :named @p_59) @p_58) :rule equiv_pos2)
 (step t7 (cl (not @p_59) @p_52) :rule not_not)
 (step t8 (cl @p_60 @p_52 @p_58) :rule th_resolution :premises (t7 t6))
-(step t9 (cl @p_58) :rule th_resolution :premises (a1 t5 t8))
+(step t9 (cl @p_58) :rule th_resolution :premises (axiom1 t5 t8))
 (anchor :step t10 :args ((:= (?v0 Real_a_fun$) veriT_vr2) (:= (?v1 B_list$) veriT_vr3)))
 (step t10.t1 (cl (! (= ?v1 veriT_vr3) :named @p_70)) :rule refl)
 (step t10.t2 (cl (! (= @p_3 (! (rec_join$ veriT_vr3) :named @p_63)) :named @p_111)) :rule cong :premises (t10.t1))
@@ -7720,10 +7759,10 @@
 (step t44 (cl false) :rule th_resolution :premises (t31 t42 t43))
 (step t45 (cl (not false)) :rule false)
 (step t46 (cl) :rule resolution :premises (t44 t45))
-2da165964e2359aec5a20e66969cc8494006e9ba 36 0
+f76f257aace4d1c925379d3446177d02a43e00b9 36 0
 unsat
-(assume a4 (! (forall ((?v0 Int)) (! (and (! (pred$e ?v0) :named @p_4) (! (or (! (pred$d (! (cons$d ?v0 nil$d) :named @p_7)) :named @p_1) (! (not @p_1) :named @p_11)) :named @p_13)) :named @p_15)) :named @p_2))
-(assume a5 (not (! (pred$e 1) :named @p_26)))
+(assume axiom4 (! (forall ((?v0 Int)) (! (and (! (pred$e ?v0) :named @p_4) (! (or (! (pred$d (! (cons$d ?v0 nil$d) :named @p_7)) :named @p_1) (! (not @p_1) :named @p_11)) :named @p_13)) :named @p_15)) :named @p_2))
+(assume axiom5 (not (! (pred$e 1) :named @p_26)))
 (anchor :step t3 :args ((:= (?v0 Int) veriT_vr8)))
 (step t3.t1 (cl (! (= ?v0 veriT_vr8) :named @p_6)) :rule refl)
 (step t3.t2 (cl (= @p_4 (! (pred$e veriT_vr8) :named @p_5))) :rule cong :premises (t3.t1))
@@ -7738,7 +7777,7 @@
 (step t3.t11 (cl (= @p_15 (! (and @p_5 @p_14) :named @p_16))) :rule cong :premises (t3.t2 t3.t10))
 (step t3 (cl (! (= @p_2 (! (forall ((veriT_vr8 Int)) @p_16) :named @p_18)) :named @p_17)) :rule bind)
 (step t4 (cl (not @p_17) (not @p_2) @p_18) :rule equiv_pos2)
-(step t5 (cl @p_18) :rule th_resolution :premises (a4 t3 t4))
+(step t5 (cl @p_18) :rule th_resolution :premises (axiom4 t3 t4))
 (anchor :step t6 :args ((veriT_vr8 Int)))
 (step t6.t1 (cl (= @p_14 true)) :rule or_simplify)
 (step t6.t2 (cl (= @p_16 (! (and @p_5 true) :named @p_19))) :rule cong :premises (t6.t1))
@@ -7756,20 +7795,20 @@
 (step t11 (cl @p_25) :rule th_resolution :premises (t8 t9 t10))
 (step t12 (cl (or (! (not @p_25) :named @p_27) @p_26)) :rule forall_inst :args ((:= veriT_vr9 1)))
 (step t13 (cl @p_27 @p_26) :rule or :premises (t12))
-(step t14 (cl) :rule resolution :premises (t13 t11 a5))
-f9bb7f97f8819ceceaefe0cdf934d0eda3431a5b 158 0
+(step t14 (cl) :rule resolution :premises (t13 t11 axiom5))
+9aecf5ce2acf5c9a6a97abe747fcd03e35b92209 158 0
 unsat
-(assume a0 (! (forall ((?v0 Int)) (! (= (! (g$ (! (some$ ?v0) :named @p_5)) :named @p_7) (! (g$a (! (cons$ ?v0 nil$) :named @p_10)) :named @p_12)) :named @p_14)) :named @p_4))
-(assume a1 (forall ((?v0 Bool)) (= (g$b (some$a ?v0)) (g$c (cons$a ?v0 nil$a)))))
-(assume a6 (! (forall ((?v0 Bool_list$)) (! (= (! (g$c ?v0) :named @p_27) (! (size$ ?v0) :named @p_30)) :named @p_32)) :named @p_26))
-(assume a7 (! (forall ((?v0 Int_list$)) (! (= (! (g$a ?v0) :named @p_43) (! (size$a ?v0) :named @p_46)) :named @p_48)) :named @p_42))
-(assume a12 (! (= zero$ (! (size$ nil$a) :named @p_118)) :named @p_143))
-(assume a13 (! (= zero$ (! (size$a nil$) :named @p_133)) :named @p_144))
-(assume a14 (forall ((?v0 Bool) (?v1 Bool_list$)) (= (size$ (cons$a ?v0 ?v1)) (! (plus$ (! (size$ ?v1) :named @p_60) (! (suc$ zero$) :named @p_1)) :named @p_3))))
-(assume a15 (! (forall ((?v0 Int) (?v1 Int_list$)) (! (= (! (size$a (! (cons$ ?v0 ?v1) :named @p_96)) :named @p_98) (! (plus$ (! (size$a ?v1) :named @p_101) @p_1) :named @p_103)) :named @p_105)) :named @p_95))
-(assume a16 (not (! (= (! (g$ (some$ 3)) :named @p_124) (! (g$b (some$a true)) :named @p_2)) :named @p_141)))
-(step t10 (cl (and (= (g$b (some$a false)) (g$c (! (cons$a false nil$a) :named @p_119))) (! (= @p_2 (! (g$c (! (cons$a true nil$a) :named @p_121)) :named @p_122)) :named @p_117))) :rule bfun_elim :premises (a1))
-(step t11 (cl (! (forall ((?v1 Bool_list$)) (! (and (! (= @p_3 (! (size$ (! (cons$a false ?v1) :named @p_63)) :named @p_65)) :named @p_67) (! (= @p_3 (! (size$ (! (cons$a true ?v1) :named @p_71)) :named @p_73)) :named @p_75)) :named @p_77)) :named @p_58)) :rule bfun_elim :premises (a14))
+(assume axiom0 (! (forall ((?v0 Int)) (! (= (! (g$ (! (some$ ?v0) :named @p_5)) :named @p_7) (! (g$a (! (cons$ ?v0 nil$) :named @p_10)) :named @p_12)) :named @p_14)) :named @p_4))
+(assume axiom1 (forall ((?v0 Bool)) (= (g$b (some$a ?v0)) (g$c (cons$a ?v0 nil$a)))))
+(assume axiom6 (! (forall ((?v0 Bool_list$)) (! (= (! (g$c ?v0) :named @p_27) (! (size$ ?v0) :named @p_30)) :named @p_32)) :named @p_26))
+(assume axiom7 (! (forall ((?v0 Int_list$)) (! (= (! (g$a ?v0) :named @p_43) (! (size$a ?v0) :named @p_46)) :named @p_48)) :named @p_42))
+(assume axiom12 (! (= zero$ (! (size$ nil$a) :named @p_118)) :named @p_143))
+(assume axiom13 (! (= zero$ (! (size$a nil$) :named @p_133)) :named @p_144))
+(assume axiom14 (forall ((?v0 Bool) (?v1 Bool_list$)) (= (size$ (cons$a ?v0 ?v1)) (! (plus$ (! (size$ ?v1) :named @p_60) (! (suc$ zero$) :named @p_1)) :named @p_3))))
+(assume axiom15 (! (forall ((?v0 Int) (?v1 Int_list$)) (! (= (! (size$a (! (cons$ ?v0 ?v1) :named @p_96)) :named @p_98) (! (plus$ (! (size$a ?v1) :named @p_101) @p_1) :named @p_103)) :named @p_105)) :named @p_95))
+(assume axiom16 (not (! (= (! (g$ (some$ 3)) :named @p_124) (! (g$b (some$a true)) :named @p_2)) :named @p_141)))
+(step t10 (cl (and (= (g$b (some$a false)) (g$c (! (cons$a false nil$a) :named @p_119))) (! (= @p_2 (! (g$c (! (cons$a true nil$a) :named @p_121)) :named @p_122)) :named @p_117))) :rule bfun_elim :premises (axiom1))
+(step t11 (cl (! (forall ((?v1 Bool_list$)) (! (and (! (= @p_3 (! (size$ (! (cons$a false ?v1) :named @p_63)) :named @p_65)) :named @p_67) (! (= @p_3 (! (size$ (! (cons$a true ?v1) :named @p_71)) :named @p_73)) :named @p_75)) :named @p_77)) :named @p_58)) :rule bfun_elim :premises (axiom14))
 (anchor :step t12 :args ((:= (?v0 Int) veriT_vr0)))
 (step t12.t1 (cl (! (= ?v0 veriT_vr0) :named @p_9)) :rule refl)
 (step t12.t2 (cl (= @p_5 (! (some$ veriT_vr0) :named @p_6))) :rule cong :premises (t12.t1))
@@ -7780,7 +7819,7 @@
 (step t12.t7 (cl (= @p_14 (! (= @p_8 @p_13) :named @p_15))) :rule cong :premises (t12.t3 t12.t6))
 (step t12 (cl (! (= @p_4 (! (forall ((veriT_vr0 Int)) @p_15) :named @p_17)) :named @p_16)) :rule bind)
 (step t13 (cl (not @p_16) (not @p_4) @p_17) :rule equiv_pos2)
-(step t14 (cl @p_17) :rule th_resolution :premises (a0 t12 t13))
+(step t14 (cl @p_17) :rule th_resolution :premises (axiom0 t12 t13))
 (anchor :step t15 :args ((:= (veriT_vr0 Int) veriT_vr1)))
 (step t15.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_20)) :rule refl)
 (step t15.t2 (cl (= @p_6 (! (some$ veriT_vr1) :named @p_18))) :rule cong :premises (t15.t1))
@@ -7800,7 +7839,7 @@
 (step t18.t5 (cl (= @p_32 (! (= @p_28 @p_31) :named @p_33))) :rule cong :premises (t18.t2 t18.t4))
 (step t18 (cl (! (= @p_26 (! (forall ((veriT_vr2 Bool_list$)) @p_33) :named @p_35)) :named @p_34)) :rule bind)
 (step t19 (cl (not @p_34) (not @p_26) @p_35) :rule equiv_pos2)
-(step t20 (cl @p_35) :rule th_resolution :premises (a6 t18 t19))
+(step t20 (cl @p_35) :rule th_resolution :premises (axiom6 t18 t19))
 (anchor :step t21 :args ((:= (veriT_vr2 Bool_list$) veriT_vr3)))
 (step t21.t1 (cl (! (= veriT_vr2 veriT_vr3) :named @p_37)) :rule refl)
 (step t21.t2 (cl (= @p_28 (! (g$c veriT_vr3) :named @p_36))) :rule cong :premises (t21.t1))
@@ -7818,7 +7857,7 @@
 (step t24.t5 (cl (= @p_48 (! (= @p_44 @p_47) :named @p_49))) :rule cong :premises (t24.t2 t24.t4))
 (step t24 (cl (! (= @p_42 (! (forall ((veriT_vr4 Int_list$)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
 (step t25 (cl (not @p_50) (not @p_42) @p_51) :rule equiv_pos2)
-(step t26 (cl @p_51) :rule th_resolution :premises (a7 t24 t25))
+(step t26 (cl @p_51) :rule th_resolution :premises (axiom7 t24 t25))
 (anchor :step t27 :args ((:= (veriT_vr4 Int_list$) veriT_vr5)))
 (step t27.t1 (cl (! (= veriT_vr4 veriT_vr5) :named @p_53)) :rule refl)
 (step t27.t2 (cl (= @p_44 (! (g$a veriT_vr5) :named @p_52))) :rule cong :premises (t27.t1))
@@ -7877,7 +7916,7 @@
 (step t36.t8 (cl (= @p_105 (! (= @p_99 @p_104) :named @p_106))) :rule cong :premises (t36.t4 t36.t7))
 (step t36 (cl (! (= @p_95 (! (forall ((veriT_vr22 Int) (veriT_vr23 Int_list$)) @p_106) :named @p_108)) :named @p_107)) :rule bind)
 (step t37 (cl (not @p_107) (not @p_95) @p_108) :rule equiv_pos2)
-(step t38 (cl @p_108) :rule th_resolution :premises (a15 t36 t37))
+(step t38 (cl @p_108) :rule th_resolution :premises (axiom15 t36 t37))
 (anchor :step t39 :args ((:= (veriT_vr22 Int) veriT_vr24) (:= (veriT_vr23 Int_list$) veriT_vr25)))
 (step t39.t1 (cl (= veriT_vr22 veriT_vr24)) :rule refl)
 (step t39.t2 (cl (! (= veriT_vr23 veriT_vr25) :named @p_111)) :rule refl)
@@ -7915,878 +7954,915 @@
 (step t64 (cl @p_149) :rule eq_reflexive)
 (step t65 (cl @p_142 @p_147 @p_148) :rule th_resolution :premises (t63 t64))
 (step t66 (cl @p_150 @p_151 @p_152 @p_153 @p_154 @p_155 @p_141 @p_147 @p_148) :rule th_resolution :premises (t60 t65))
-(step t67 (cl) :rule resolution :premises (t66 t42 a12 a13 a16 t49 t51 t53 t57 t59))
-672f5a048dc0215d5adebfbf2f0a3a36f69e286e 873 0
+(step t67 (cl) :rule resolution :premises (t66 t42 axiom12 axiom13 axiom16 t49 t51 t53 t57 t59))
+1a2d4d1ee4565edc7b401dfc82d8d10a78382c1c 910 0
 unsat
-(define-fun veriT_sk0 () V$ (! (choice ((veriT_vr65 V$)) (not (! (not (! (= x2$ (! (rraise$ veriT_vr65) :named @p_369)) :named @p_370)) :named @p_368))) :named @p_382))
-(define-fun veriT_sk1 () Abort$ (! (choice ((veriT_vr66 Abort$)) (not (! (not (! (= x2$ (! (rabort$ veriT_vr66) :named @p_372)) :named @p_373)) :named @p_371))) :named @p_386))
-(define-fun veriT_sk3 () V_list_v_result$ (! (choice ((veriT_vr73 V_list_v_result$)) (! (= (! (fun_evaluate$ st$a env$ (cons$ e$ nil$)) :named @p_1) (! (pair$ (! (fst$ @p_1) :named @p_346) veriT_vr73) :named @p_429)) :named @p_428)) :named @p_433))
-(define-fun veriT_sk11 () V_list_v_result$ (! (choice ((veriT_vr108 V_list_v_result$)) (! (= (! (fix_clock$ st$a @p_1) :named @p_438) (! (pair$ st$ veriT_vr108) :named @p_471)) :named @p_470)) :named @p_483))
-(define-fun veriT_sk615 () V_list_v_result$ (! (choice ((veriT_vr3122 V_list_v_result$)) (! (= (! (case_error_result$ uua$ uub$ x2$) :named @p_547) (! (pair$ (! (update_clock$ (uu$ st$a @p_346) @p_346) :named @p_504) veriT_vr3122) :named @p_617)) :named @p_616)) :named @p_629))
-(assume a0 (! (forall ((?v0 V$)) (! (= (! (fun_app$ uua$ ?v0) :named @p_6) (! (fun_app$ (! (fun_evaluate_match$ st$ env$ ?v0 pes$) :named @p_9) ?v0) :named @p_11)) :named @p_13)) :named @p_5))
-(assume a1 (! (forall ((?v0 Abort$)) (! (= (! (fun_app$a uub$ ?v0) :named @p_25) (! (pair$ st$ (! (rerr$ (! (rabort$ ?v0) :named @p_28)) :named @p_30)) :named @p_32)) :named @p_34)) :named @p_24))
-(assume a3 (! (= @p_438 (! (pair$ st$ r$) :named @p_545)) :named @p_576))
-(assume a4 (! (less_eq$ (! (clock$ @p_346) :named @p_339) (! (clock$ st$a) :named @p_4)) :named @p_337))
-(assume a5 (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (! (=> (! (and (! (less_eq$ ?v0 ?v1) :named @p_47) (! (less_eq$ ?v2 ?v0) :named @p_50)) :named @p_52) (! (less_eq$ ?v2 ?v1) :named @p_56)) :named @p_58)) :named @p_46))
-(assume a6 (! (forall ((?v0 Astate$) (?v1 Astate_v_list_v_result_prod$)) (! (= (! (= ?v0 (! (fst$ ?v1) :named @p_73)) :named @p_75) (! (exists ((?v2 V_list_v_result$)) (! (= ?v1 (! (pair$ ?v0 ?v2) :named @p_81)) :named @p_83)) :named @p_77)) :named @p_85)) :named @p_72))
-(assume a7 (! (forall ((?v0 V_error_result$)) (! (=> (! (and (! (forall ((?v1 V$)) (! (=> (! (= ?v0 (! (rraise$ ?v1) :named @p_140)) :named @p_3) false) :named @p_143)) :named @p_138) (! (forall ((?v1 Abort$)) (! (=> (! (= ?v0 (! (rabort$ ?v1) :named @p_148)) :named @p_150) false) :named @p_152)) :named @p_145)) :named @p_154) false) :named @p_156)) :named @p_137))
-(assume a8 (! (forall ((?v0 V_astate_v_list_v_result_prod_fun$) (?v1 Abort_astate_v_list_v_result_prod_fun$) (?v2 V$)) (! (= (! (case_error_result$ ?v0 ?v1 (! (rraise$ ?v2) :named @p_183)) :named @p_185) (! (fun_app$ ?v0 ?v2) :named @p_189)) :named @p_191)) :named @p_182))
-(assume a9 (! (forall ((?v0 V_astate_v_list_v_result_prod_fun$) (?v1 Abort_astate_v_list_v_result_prod_fun$) (?v2 Abort$)) (! (= (! (case_error_result$ ?v0 ?v1 (! (rabort$ ?v2) :named @p_204)) :named @p_206) (! (fun_app$a ?v1 ?v2) :named @p_210)) :named @p_212)) :named @p_203))
-(assume a10 (! (forall ((?v0 Astate$) (?v1 Astate$) (?v2 V_list_v_result$) (?v3 Astate$)) (! (=> (! (= (! (fix_clock$ ?v0 (! (pair$ ?v1 ?v2) :named @p_225)) :named @p_2) (! (pair$ ?v3 ?v2) :named @p_229)) :named @p_231) (! (less_eq$ (! (clock$ ?v3) :named @p_234) (! (clock$ ?v1) :named @p_237)) :named @p_239)) :named @p_241)) :named @p_224))
-(assume a11 (! (forall ((?v0 Astate$) (?v1 Astate$) (?v2 V_list_v_result$)) (! (= @p_2 (! (pair$ (! (update_clock$ (! (uu$ ?v0 ?v1) :named @p_263) ?v1) :named @p_265) ?v2) :named @p_268)) :named @p_270)) :named @p_258))
-(assume a12 (! (forall ((?v0 V_error_result$) (?v1 V$)) (! (=> (! (and (! (= r$ (! (rerr$ ?v0) :named @p_287)) :named @p_289) @p_3) :named @p_294) (! (less_eq$ (! (clock$ (! (fst$ (! (fun_app$ (! (fun_evaluate_match$ st$ env$ ?v1 pes$) :named @p_297) ?v1) :named @p_299)) :named @p_301)) :named @p_303) (! (clock$ st$) :named @p_286)) :named @p_305)) :named @p_307)) :named @p_285))
-(assume a13 (! (not (! (=> (! (= r$ (! (rerr$ x2$) :named @p_562)) :named @p_327) (! (less_eq$ (! (clock$ (! (fst$ @p_547) :named @p_565)) :named @p_338) @p_4) :named @p_328)) :named @p_332)) :named @p_326))
-(anchor :step t14 :args ((:= (?v0 V$) veriT_vr0)))
-(step t14.t1 (cl (! (= ?v0 veriT_vr0) :named @p_8)) :rule refl)
-(step t14.t2 (cl (= @p_6 (! (fun_app$ uua$ veriT_vr0) :named @p_7))) :rule cong :premises (t14.t1))
-(step t14.t3 (cl @p_8) :rule refl)
-(step t14.t4 (cl (= @p_9 (! (fun_evaluate_match$ st$ env$ veriT_vr0 pes$) :named @p_10))) :rule cong :premises (t14.t3))
-(step t14.t5 (cl @p_8) :rule refl)
-(step t14.t6 (cl (= @p_11 (! (fun_app$ @p_10 veriT_vr0) :named @p_12))) :rule cong :premises (t14.t4 t14.t5))
-(step t14.t7 (cl (= @p_13 (! (= @p_7 @p_12) :named @p_14))) :rule cong :premises (t14.t2 t14.t6))
-(step t14 (cl (! (= @p_5 (! (forall ((veriT_vr0 V$)) @p_14) :named @p_16)) :named @p_15)) :rule bind)
-(step t15 (cl (not @p_15) (not @p_5) @p_16) :rule equiv_pos2)
-(step t16 (cl @p_16) :rule th_resolution :premises (a0 t14 t15))
-(anchor :step t17 :args ((:= (veriT_vr0 V$) veriT_vr1)))
-(step t17.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_18)) :rule refl)
-(step t17.t2 (cl (= @p_7 (! (fun_app$ uua$ veriT_vr1) :named @p_17))) :rule cong :premises (t17.t1))
-(step t17.t3 (cl @p_18) :rule refl)
-(step t17.t4 (cl (= @p_10 (! (fun_evaluate_match$ st$ env$ veriT_vr1 pes$) :named @p_19))) :rule cong :premises (t17.t3))
-(step t17.t5 (cl @p_18) :rule refl)
-(step t17.t6 (cl (= @p_12 (! (fun_app$ @p_19 veriT_vr1) :named @p_20))) :rule cong :premises (t17.t4 t17.t5))
-(step t17.t7 (cl (= @p_14 (! (= @p_17 @p_20) :named @p_21))) :rule cong :premises (t17.t2 t17.t6))
-(step t17 (cl (! (= @p_16 (! (forall ((veriT_vr1 V$)) @p_21) :named @p_23)) :named @p_22)) :rule bind)
-(step t18 (cl (not @p_22) (not @p_16) @p_23) :rule equiv_pos2)
-(step t19 (cl @p_23) :rule th_resolution :premises (t16 t17 t18))
-(anchor :step t20 :args ((:= (?v0 Abort$) veriT_vr2)))
-(step t20.t1 (cl (! (= ?v0 veriT_vr2) :named @p_27)) :rule refl)
-(step t20.t2 (cl (= @p_25 (! (fun_app$a uub$ veriT_vr2) :named @p_26))) :rule cong :premises (t20.t1))
-(step t20.t3 (cl @p_27) :rule refl)
-(step t20.t4 (cl (= @p_28 (! (rabort$ veriT_vr2) :named @p_29))) :rule cong :premises (t20.t3))
-(step t20.t5 (cl (= @p_30 (! (rerr$ @p_29) :named @p_31))) :rule cong :premises (t20.t4))
-(step t20.t6 (cl (= @p_32 (! (pair$ st$ @p_31) :named @p_33))) :rule cong :premises (t20.t5))
-(step t20.t7 (cl (= @p_34 (! (= @p_26 @p_33) :named @p_35))) :rule cong :premises (t20.t2 t20.t6))
-(step t20 (cl (! (= @p_24 (! (forall ((veriT_vr2 Abort$)) @p_35) :named @p_37)) :named @p_36)) :rule bind)
-(step t21 (cl (not @p_36) (not @p_24) @p_37) :rule equiv_pos2)
-(step t22 (cl @p_37) :rule th_resolution :premises (a1 t20 t21))
-(anchor :step t23 :args ((:= (veriT_vr2 Abort$) veriT_vr3)))
-(step t23.t1 (cl (! (= veriT_vr2 veriT_vr3) :named @p_39)) :rule refl)
-(step t23.t2 (cl (= @p_26 (! (fun_app$a uub$ veriT_vr3) :named @p_38))) :rule cong :premises (t23.t1))
-(step t23.t3 (cl @p_39) :rule refl)
-(step t23.t4 (cl (= @p_29 (! (rabort$ veriT_vr3) :named @p_40))) :rule cong :premises (t23.t3))
-(step t23.t5 (cl (= @p_31 (! (rerr$ @p_40) :named @p_41))) :rule cong :premises (t23.t4))
-(step t23.t6 (cl (= @p_33 (! (pair$ st$ @p_41) :named @p_42))) :rule cong :premises (t23.t5))
-(step t23.t7 (cl (= @p_35 (! (= @p_38 @p_42) :named @p_43))) :rule cong :premises (t23.t2 t23.t6))
-(step t23 (cl (! (= @p_37 (! (forall ((veriT_vr3 Abort$)) @p_43) :named @p_45)) :named @p_44)) :rule bind)
-(step t24 (cl (not @p_44) (not @p_37) @p_45) :rule equiv_pos2)
-(step t25 (cl @p_45) :rule th_resolution :premises (t22 t23 t24))
-(anchor :step t26 :args ((:= (?v0 Nat$) veriT_vr10) (:= (?v1 Nat$) veriT_vr11) (:= (?v2 Nat$) veriT_vr12)))
-(step t26.t1 (cl (! (= ?v0 veriT_vr10) :named @p_49)) :rule refl)
-(step t26.t2 (cl (! (= ?v1 veriT_vr11) :named @p_55)) :rule refl)
-(step t26.t3 (cl (= @p_47 (! (less_eq$ veriT_vr10 veriT_vr11) :named @p_48))) :rule cong :premises (t26.t1 t26.t2))
-(step t26.t4 (cl (! (= ?v2 veriT_vr12) :named @p_54)) :rule refl)
-(step t26.t5 (cl @p_49) :rule refl)
-(step t26.t6 (cl (= @p_50 (! (less_eq$ veriT_vr12 veriT_vr10) :named @p_51))) :rule cong :premises (t26.t4 t26.t5))
-(step t26.t7 (cl (= @p_52 (! (and @p_48 @p_51) :named @p_53))) :rule cong :premises (t26.t3 t26.t6))
-(step t26.t8 (cl @p_54) :rule refl)
-(step t26.t9 (cl @p_55) :rule refl)
-(step t26.t10 (cl (= @p_56 (! (less_eq$ veriT_vr12 veriT_vr11) :named @p_57))) :rule cong :premises (t26.t8 t26.t9))
-(step t26.t11 (cl (= @p_58 (! (=> @p_53 @p_57) :named @p_59))) :rule cong :premises (t26.t7 t26.t10))
-(step t26 (cl (! (= @p_46 (! (forall ((veriT_vr10 Nat$) (veriT_vr11 Nat$) (veriT_vr12 Nat$)) @p_59) :named @p_61)) :named @p_60)) :rule bind)
-(step t27 (cl (not @p_60) (not @p_46) @p_61) :rule equiv_pos2)
-(step t28 (cl @p_61) :rule th_resolution :premises (a5 t26 t27))
-(anchor :step t29 :args ((:= (veriT_vr10 Nat$) veriT_vr13) (:= (veriT_vr11 Nat$) veriT_vr14) (:= (veriT_vr12 Nat$) veriT_vr15)))
-(step t29.t1 (cl (! (= veriT_vr10 veriT_vr13) :named @p_63)) :rule refl)
-(step t29.t2 (cl (! (= veriT_vr11 veriT_vr14) :named @p_67)) :rule refl)
-(step t29.t3 (cl (= @p_48 (! (less_eq$ veriT_vr13 veriT_vr14) :named @p_62))) :rule cong :premises (t29.t1 t29.t2))
-(step t29.t4 (cl (! (= veriT_vr12 veriT_vr15) :named @p_66)) :rule refl)
-(step t29.t5 (cl @p_63) :rule refl)
-(step t29.t6 (cl (= @p_51 (! (less_eq$ veriT_vr15 veriT_vr13) :named @p_64))) :rule cong :premises (t29.t4 t29.t5))
-(step t29.t7 (cl (= @p_53 (! (and @p_62 @p_64) :named @p_65))) :rule cong :premises (t29.t3 t29.t6))
-(step t29.t8 (cl @p_66) :rule refl)
-(step t29.t9 (cl @p_67) :rule refl)
-(step t29.t10 (cl (= @p_57 (! (less_eq$ veriT_vr15 veriT_vr14) :named @p_68))) :rule cong :premises (t29.t8 t29.t9))
-(step t29.t11 (cl (= @p_59 (! (=> @p_65 @p_68) :named @p_69))) :rule cong :premises (t29.t7 t29.t10))
-(step t29 (cl (! (= @p_61 (! (forall ((veriT_vr13 Nat$) (veriT_vr14 Nat$) (veriT_vr15 Nat$)) @p_69) :named @p_71)) :named @p_70)) :rule bind)
-(step t30 (cl (not @p_70) (not @p_61) @p_71) :rule equiv_pos2)
-(step t31 (cl @p_71) :rule th_resolution :premises (t28 t29 t30))
-(anchor :step t32 :args ((:= (?v0 Astate$) veriT_vr16) (:= (?v1 Astate_v_list_v_result_prod$) veriT_vr17)))
-(step t32.t1 (cl (! (= ?v0 veriT_vr16) :named @p_80)) :rule refl)
-(step t32.t2 (cl (! (= ?v1 veriT_vr17) :named @p_79)) :rule refl)
-(step t32.t3 (cl (= @p_73 (! (fst$ veriT_vr17) :named @p_74))) :rule cong :premises (t32.t2))
-(step t32.t4 (cl (= @p_75 (! (= veriT_vr16 @p_74) :named @p_76))) :rule cong :premises (t32.t1 t32.t3))
-(anchor :step t32.t5 :args ((:= (?v2 V_list_v_result$) veriT_vr18)))
-(step t32.t5.t1 (cl @p_79) :rule refl)
-(step t32.t5.t2 (cl @p_80) :rule refl)
-(step t32.t5.t3 (cl (= ?v2 veriT_vr18)) :rule refl)
-(step t32.t5.t4 (cl (= @p_81 (! (pair$ veriT_vr16 veriT_vr18) :named @p_82))) :rule cong :premises (t32.t5.t2 t32.t5.t3))
-(step t32.t5.t5 (cl (= @p_83 (! (= veriT_vr17 @p_82) :named @p_84))) :rule cong :premises (t32.t5.t1 t32.t5.t4))
-(step t32.t5 (cl (= @p_77 (! (exists ((veriT_vr18 V_list_v_result$)) @p_84) :named @p_78))) :rule bind)
-(step t32.t6 (cl (= @p_85 (! (= @p_76 @p_78) :named @p_86))) :rule cong :premises (t32.t4 t32.t5))
-(step t32 (cl (! (= @p_72 (! (forall ((veriT_vr16 Astate$) (veriT_vr17 Astate_v_list_v_result_prod$)) @p_86) :named @p_88)) :named @p_87)) :rule bind)
-(step t33 (cl (not @p_87) (not @p_72) @p_88) :rule equiv_pos2)
-(step t34 (cl @p_88) :rule th_resolution :premises (a6 t32 t33))
-(anchor :step t35 :args ((veriT_vr16 Astate$) (veriT_vr17 Astate_v_list_v_result_prod$)))
-(step t35.t1 (cl (= @p_86 (! (and (! (=> @p_76 @p_78) :named @p_99) (! (=> @p_78 @p_76) :named @p_106)) :named @p_89))) :rule connective_def)
-(step t35 (cl (! (= @p_88 (! (forall ((veriT_vr16 Astate$) (veriT_vr17 Astate_v_list_v_result_prod$)) @p_89) :named @p_91)) :named @p_90)) :rule bind)
-(step t36 (cl (not @p_90) (not @p_88) @p_91) :rule equiv_pos2)
-(step t37 (cl @p_91) :rule th_resolution :premises (t34 t35 t36))
-(anchor :step t38 :args ((:= (veriT_vr16 Astate$) veriT_vr19) (:= (veriT_vr17 Astate_v_list_v_result_prod$) veriT_vr20)))
-(step t38.t1 (cl (! (= veriT_vr16 veriT_vr19) :named @p_96)) :rule refl)
-(step t38.t2 (cl (! (= veriT_vr17 veriT_vr20) :named @p_95)) :rule refl)
-(step t38.t3 (cl (! (= @p_74 (! (fst$ veriT_vr20) :named @p_93)) :named @p_104)) :rule cong :premises (t38.t2))
-(step t38.t4 (cl (! (= @p_76 (! (= veriT_vr19 @p_93) :named @p_92)) :named @p_105)) :rule cong :premises (t38.t1 t38.t3))
-(anchor :step t38.t5 :args ((:= (veriT_vr18 V_list_v_result$) veriT_vr21)))
-(step t38.t5.t1 (cl @p_95) :rule refl)
-(step t38.t5.t2 (cl @p_96) :rule refl)
-(step t38.t5.t3 (cl (= veriT_vr18 veriT_vr21)) :rule refl)
-(step t38.t5.t4 (cl (= @p_82 (! (pair$ veriT_vr19 veriT_vr21) :named @p_97))) :rule cong :premises (t38.t5.t2 t38.t5.t3))
-(step t38.t5.t5 (cl (= @p_84 (! (= veriT_vr20 @p_97) :named @p_98))) :rule cong :premises (t38.t5.t1 t38.t5.t4))
-(step t38.t5 (cl (= @p_78 (! (exists ((veriT_vr21 V_list_v_result$)) @p_98) :named @p_94))) :rule bind)
-(step t38.t6 (cl (= @p_99 (! (=> @p_92 @p_94) :named @p_100))) :rule cong :premises (t38.t4 t38.t5))
-(anchor :step t38.t7 :args ((:= (veriT_vr18 V_list_v_result$) veriT_vr22)))
-(step t38.t7.t1 (cl @p_95) :rule refl)
-(step t38.t7.t2 (cl @p_96) :rule refl)
-(step t38.t7.t3 (cl (= veriT_vr18 veriT_vr22)) :rule refl)
-(step t38.t7.t4 (cl (= @p_82 (! (pair$ veriT_vr19 veriT_vr22) :named @p_102))) :rule cong :premises (t38.t7.t2 t38.t7.t3))
-(step t38.t7.t5 (cl (= @p_84 (! (= veriT_vr20 @p_102) :named @p_103))) :rule cong :premises (t38.t7.t1 t38.t7.t4))
-(step t38.t7 (cl (= @p_78 (! (exists ((veriT_vr22 V_list_v_result$)) @p_103) :named @p_101))) :rule bind)
-(step t38.t8 (cl @p_96) :rule refl)
-(step t38.t9 (cl @p_95) :rule refl)
-(step t38.t10 (cl @p_104) :rule cong :premises (t38.t9))
-(step t38.t11 (cl @p_105) :rule cong :premises (t38.t8 t38.t10))
-(step t38.t12 (cl (= @p_106 (! (=> @p_101 @p_92) :named @p_107))) :rule cong :premises (t38.t7 t38.t11))
-(step t38.t13 (cl (= @p_89 (! (and @p_100 @p_107) :named @p_108))) :rule cong :premises (t38.t6 t38.t12))
-(step t38 (cl (! (= @p_91 (! (forall ((veriT_vr19 Astate$) (veriT_vr20 Astate_v_list_v_result_prod$)) @p_108) :named @p_110)) :named @p_109)) :rule bind)
-(step t39 (cl (not @p_109) (not @p_91) @p_110) :rule equiv_pos2)
-(step t40 (cl @p_110) :rule th_resolution :premises (t37 t38 t39))
-(anchor :step t41 :args ((:= (veriT_vr19 Astate$) veriT_vr23) (:= (veriT_vr20 Astate_v_list_v_result_prod$) veriT_vr24)))
-(step t41.t1 (cl (! (= veriT_vr19 veriT_vr23) :named @p_115)) :rule refl)
-(step t41.t2 (cl (! (= veriT_vr20 veriT_vr24) :named @p_114)) :rule refl)
-(step t41.t3 (cl (! (= @p_93 (! (fst$ veriT_vr24) :named @p_113)) :named @p_119)) :rule cong :premises (t41.t2))
-(step t41.t4 (cl (! (= @p_92 (! (= veriT_vr23 @p_113) :named @p_112)) :named @p_120)) :rule cong :premises (t41.t1 t41.t3))
-(anchor :step t41.t5 :args ((:= (veriT_vr21 V_list_v_result$) veriT_vr25)))
-(step t41.t5.t1 (cl @p_114) :rule refl)
-(step t41.t5.t2 (cl @p_115) :rule refl)
-(step t41.t5.t3 (cl (= veriT_vr21 veriT_vr25)) :rule refl)
-(step t41.t5.t4 (cl (= @p_97 (! (pair$ veriT_vr23 veriT_vr25) :named @p_116))) :rule cong :premises (t41.t5.t2 t41.t5.t3))
-(step t41.t5.t5 (cl (= @p_98 (! (= veriT_vr24 @p_116) :named @p_117))) :rule cong :premises (t41.t5.t1 t41.t5.t4))
-(step t41.t5 (cl (= @p_94 (! (exists ((veriT_vr25 V_list_v_result$)) @p_117) :named @p_111))) :rule bind)
-(step t41.t6 (cl (= @p_100 (! (=> @p_112 @p_111) :named @p_118))) :rule cong :premises (t41.t4 t41.t5))
-(anchor :step t41.t7 :args ((:= (veriT_vr22 V_list_v_result$) veriT_vr25)))
-(step t41.t7.t1 (cl @p_114) :rule refl)
-(step t41.t7.t2 (cl @p_115) :rule refl)
-(step t41.t7.t3 (cl (= veriT_vr22 veriT_vr25)) :rule refl)
-(step t41.t7.t4 (cl (= @p_102 @p_116)) :rule cong :premises (t41.t7.t2 t41.t7.t3))
-(step t41.t7.t5 (cl (= @p_103 @p_117)) :rule cong :premises (t41.t7.t1 t41.t7.t4))
-(step t41.t7 (cl (= @p_101 @p_111)) :rule bind)
-(step t41.t8 (cl @p_115) :rule refl)
-(step t41.t9 (cl @p_114) :rule refl)
-(step t41.t10 (cl @p_119) :rule cong :premises (t41.t9))
-(step t41.t11 (cl @p_120) :rule cong :premises (t41.t8 t41.t10))
-(step t41.t12 (cl (= @p_107 (! (=> @p_111 @p_112) :named @p_121))) :rule cong :premises (t41.t7 t41.t11))
-(step t41.t13 (cl (= @p_108 (! (and @p_118 @p_121) :named @p_122))) :rule cong :premises (t41.t6 t41.t12))
-(step t41 (cl (! (= @p_110 (! (forall ((veriT_vr23 Astate$) (veriT_vr24 Astate_v_list_v_result_prod$)) @p_122) :named @p_124)) :named @p_123)) :rule bind)
-(step t42 (cl (not @p_123) (not @p_110) @p_124) :rule equiv_pos2)
-(step t43 (cl @p_124) :rule th_resolution :premises (t40 t41 t42))
-(anchor :step t44 :args ((:= (veriT_vr23 Astate$) veriT_vr23) (:= (veriT_vr24 Astate_v_list_v_result_prod$) veriT_vr24)))
-(anchor :step t44.t1 :args ((:= (veriT_vr25 V_list_v_result$) veriT_vr26)))
-(step t44.t1.t1 (cl (= veriT_vr25 veriT_vr26)) :rule refl)
-(step t44.t1.t2 (cl (= @p_116 (! (pair$ veriT_vr23 veriT_vr26) :named @p_126))) :rule cong :premises (t44.t1.t1))
-(step t44.t1.t3 (cl (= @p_117 (! (= veriT_vr24 @p_126) :named @p_127))) :rule cong :premises (t44.t1.t2))
-(step t44.t1 (cl (= @p_111 (! (exists ((veriT_vr26 V_list_v_result$)) @p_127) :named @p_125))) :rule bind)
-(step t44.t2 (cl (= @p_121 (! (=> @p_125 @p_112) :named @p_128))) :rule cong :premises (t44.t1))
-(step t44.t3 (cl (= @p_122 (! (and @p_118 @p_128) :named @p_129))) :rule cong :premises (t44.t2))
-(step t44 (cl (! (= @p_124 (! (forall ((veriT_vr23 Astate$) (veriT_vr24 Astate_v_list_v_result_prod$)) @p_129) :named @p_131)) :named @p_130)) :rule bind)
-(step t45 (cl (not @p_130) (not @p_124) @p_131) :rule equiv_pos2)
-(step t46 (cl @p_131) :rule th_resolution :premises (t43 t44 t45))
-(anchor :step t47 :args ((veriT_vr23 Astate$) (veriT_vr24 Astate_v_list_v_result_prod$)))
-(step t47.t1 (cl (= @p_125 (! (not (forall ((veriT_vr26 V_list_v_result$)) (! (not @p_127) :named @p_335))) :named @p_132))) :rule connective_def)
-(step t47.t2 (cl (= @p_128 (! (=> @p_132 @p_112) :named @p_133))) :rule cong :premises (t47.t1))
-(step t47.t3 (cl (= @p_129 (! (and @p_118 @p_133) :named @p_134))) :rule cong :premises (t47.t2))
-(step t47 (cl (! (= @p_131 (! (forall ((veriT_vr23 Astate$) (veriT_vr24 Astate_v_list_v_result_prod$)) @p_134) :named @p_136)) :named @p_135)) :rule bind)
-(step t48 (cl (not @p_135) (not @p_131) @p_136) :rule equiv_pos2)
-(step t49 (cl @p_136) :rule th_resolution :premises (t46 t47 t48))
-(anchor :step t50 :args ((:= (?v0 V_error_result$) veriT_vr27)))
-(anchor :step t50.t1 :args ((:= (?v1 V$) veriT_vr28)))
-(step t50.t1.t1 (cl (! (= ?v0 veriT_vr27) :named @p_147)) :rule refl)
-(step t50.t1.t2 (cl (= ?v1 veriT_vr28)) :rule refl)
-(step t50.t1.t3 (cl (= @p_140 (! (rraise$ veriT_vr28) :named @p_141))) :rule cong :premises (t50.t1.t2))
-(step t50.t1.t4 (cl (= @p_3 (! (= veriT_vr27 @p_141) :named @p_142))) :rule cong :premises (t50.t1.t1 t50.t1.t3))
-(step t50.t1.t5 (cl (= @p_143 (! (=> @p_142 false) :named @p_144))) :rule cong :premises (t50.t1.t4))
-(step t50.t1 (cl (= @p_138 (! (forall ((veriT_vr28 V$)) @p_144) :named @p_139))) :rule bind)
-(anchor :step t50.t2 :args ((:= (?v1 Abort$) veriT_vr29)))
-(step t50.t2.t1 (cl @p_147) :rule refl)
-(step t50.t2.t2 (cl (= ?v1 veriT_vr29)) :rule refl)
-(step t50.t2.t3 (cl (= @p_148 (! (rabort$ veriT_vr29) :named @p_149))) :rule cong :premises (t50.t2.t2))
-(step t50.t2.t4 (cl (= @p_150 (! (= veriT_vr27 @p_149) :named @p_151))) :rule cong :premises (t50.t2.t1 t50.t2.t3))
-(step t50.t2.t5 (cl (= @p_152 (! (=> @p_151 false) :named @p_153))) :rule cong :premises (t50.t2.t4))
-(step t50.t2 (cl (= @p_145 (! (forall ((veriT_vr29 Abort$)) @p_153) :named @p_146))) :rule bind)
-(step t50.t3 (cl (= @p_154 (! (and @p_139 @p_146) :named @p_155))) :rule cong :premises (t50.t1 t50.t2))
-(step t50.t4 (cl (= @p_156 (! (=> @p_155 false) :named @p_157))) :rule cong :premises (t50.t3))
-(step t50 (cl (! (= @p_137 (! (forall ((veriT_vr27 V_error_result$)) @p_157) :named @p_159)) :named @p_158)) :rule bind)
-(step t51 (cl (not @p_158) (not @p_137) @p_159) :rule equiv_pos2)
-(step t52 (cl @p_159) :rule th_resolution :premises (a7 t50 t51))
-(anchor :step t53 :args ((veriT_vr27 V_error_result$)))
-(anchor :step t53.t1 :args ((veriT_vr28 V$)))
-(step t53.t1.t1 (cl (= @p_144 (! (not @p_142) :named @p_161))) :rule implies_simplify)
-(step t53.t1 (cl (= @p_139 (! (forall ((veriT_vr28 V$)) @p_161) :named @p_160))) :rule bind)
-(anchor :step t53.t2 :args ((veriT_vr29 Abort$)))
-(step t53.t2.t1 (cl (= @p_153 (! (not @p_151) :named @p_163))) :rule implies_simplify)
-(step t53.t2 (cl (= @p_146 (! (forall ((veriT_vr29 Abort$)) @p_163) :named @p_162))) :rule bind)
-(step t53.t3 (cl (= @p_155 (! (and @p_160 @p_162) :named @p_164))) :rule cong :premises (t53.t1 t53.t2))
-(step t53.t4 (cl (= @p_157 (! (=> @p_164 false) :named @p_165))) :rule cong :premises (t53.t3))
-(step t53.t5 (cl (= @p_165 (! (not @p_164) :named @p_166))) :rule implies_simplify)
-(step t53.t6 (cl (= @p_157 @p_166)) :rule trans :premises (t53.t4 t53.t5))
-(step t53 (cl (! (= @p_159 (! (forall ((veriT_vr27 V_error_result$)) @p_166) :named @p_168)) :named @p_167)) :rule bind)
-(step t54 (cl (not @p_167) (not @p_159) @p_168) :rule equiv_pos2)
-(step t55 (cl @p_168) :rule th_resolution :premises (t52 t53 t54))
-(anchor :step t56 :args ((:= (veriT_vr27 V_error_result$) veriT_vr30)))
-(anchor :step t56.t1 :args ((:= (veriT_vr28 V$) veriT_vr31)))
-(step t56.t1.t1 (cl (! (= veriT_vr27 veriT_vr30) :named @p_174)) :rule refl)
-(step t56.t1.t2 (cl (= veriT_vr28 veriT_vr31)) :rule refl)
-(step t56.t1.t3 (cl (= @p_141 (! (rraise$ veriT_vr31) :named @p_170))) :rule cong :premises (t56.t1.t2))
-(step t56.t1.t4 (cl (= @p_142 (! (= veriT_vr30 @p_170) :named @p_171))) :rule cong :premises (t56.t1.t1 t56.t1.t3))
-(step t56.t1.t5 (cl (= @p_161 (! (not @p_171) :named @p_172))) :rule cong :premises (t56.t1.t4))
-(step t56.t1 (cl (= @p_160 (! (forall ((veriT_vr31 V$)) @p_172) :named @p_169))) :rule bind)
-(anchor :step t56.t2 :args ((:= (veriT_vr29 Abort$) veriT_vr32)))
-(step t56.t2.t1 (cl @p_174) :rule refl)
-(step t56.t2.t2 (cl (= veriT_vr29 veriT_vr32)) :rule refl)
-(step t56.t2.t3 (cl (= @p_149 (! (rabort$ veriT_vr32) :named @p_175))) :rule cong :premises (t56.t2.t2))
-(step t56.t2.t4 (cl (= @p_151 (! (= veriT_vr30 @p_175) :named @p_176))) :rule cong :premises (t56.t2.t1 t56.t2.t3))
-(step t56.t2.t5 (cl (= @p_163 (! (not @p_176) :named @p_177))) :rule cong :premises (t56.t2.t4))
-(step t56.t2 (cl (= @p_162 (! (forall ((veriT_vr32 Abort$)) @p_177) :named @p_173))) :rule bind)
-(step t56.t3 (cl (= @p_164 (! (and @p_169 @p_173) :named @p_178))) :rule cong :premises (t56.t1 t56.t2))
-(step t56.t4 (cl (= @p_166 (! (not @p_178) :named @p_179))) :rule cong :premises (t56.t3))
-(step t56 (cl (! (= @p_168 (! (forall ((veriT_vr30 V_error_result$)) @p_179) :named @p_181)) :named @p_180)) :rule bind)
-(step t57 (cl (not @p_180) (not @p_168) @p_181) :rule equiv_pos2)
-(step t58 (cl @p_181) :rule th_resolution :premises (t55 t56 t57))
-(anchor :step t59 :args ((:= (?v0 V_astate_v_list_v_result_prod_fun$) veriT_vr33) (:= (?v1 Abort_astate_v_list_v_result_prod_fun$) veriT_vr34) (:= (?v2 V$) veriT_vr35)))
-(step t59.t1 (cl (! (= ?v0 veriT_vr33) :named @p_187)) :rule refl)
-(step t59.t2 (cl (= ?v1 veriT_vr34)) :rule refl)
-(step t59.t3 (cl (! (= ?v2 veriT_vr35) :named @p_188)) :rule refl)
-(step t59.t4 (cl (= @p_183 (! (rraise$ veriT_vr35) :named @p_184))) :rule cong :premises (t59.t3))
-(step t59.t5 (cl (= @p_185 (! (case_error_result$ veriT_vr33 veriT_vr34 @p_184) :named @p_186))) :rule cong :premises (t59.t1 t59.t2 t59.t4))
-(step t59.t6 (cl @p_187) :rule refl)
-(step t59.t7 (cl @p_188) :rule refl)
-(step t59.t8 (cl (= @p_189 (! (fun_app$ veriT_vr33 veriT_vr35) :named @p_190))) :rule cong :premises (t59.t6 t59.t7))
-(step t59.t9 (cl (= @p_191 (! (= @p_186 @p_190) :named @p_192))) :rule cong :premises (t59.t5 t59.t8))
-(step t59 (cl (! (= @p_182 (! (forall ((veriT_vr33 V_astate_v_list_v_result_prod_fun$) (veriT_vr34 Abort_astate_v_list_v_result_prod_fun$) (veriT_vr35 V$)) @p_192) :named @p_194)) :named @p_193)) :rule bind)
-(step t60 (cl (not @p_193) (not @p_182) @p_194) :rule equiv_pos2)
-(step t61 (cl @p_194) :rule th_resolution :premises (a8 t59 t60))
-(anchor :step t62 :args ((:= (veriT_vr33 V_astate_v_list_v_result_prod_fun$) veriT_vr36) (:= (veriT_vr34 Abort_astate_v_list_v_result_prod_fun$) veriT_vr37) (:= (veriT_vr35 V$) veriT_vr38)))
-(step t62.t1 (cl (! (= veriT_vr33 veriT_vr36) :named @p_197)) :rule refl)
-(step t62.t2 (cl (= veriT_vr34 veriT_vr37)) :rule refl)
-(step t62.t3 (cl (! (= veriT_vr35 veriT_vr38) :named @p_198)) :rule refl)
-(step t62.t4 (cl (= @p_184 (! (rraise$ veriT_vr38) :named @p_195))) :rule cong :premises (t62.t3))
-(step t62.t5 (cl (= @p_186 (! (case_error_result$ veriT_vr36 veriT_vr37 @p_195) :named @p_196))) :rule cong :premises (t62.t1 t62.t2 t62.t4))
-(step t62.t6 (cl @p_197) :rule refl)
-(step t62.t7 (cl @p_198) :rule refl)
-(step t62.t8 (cl (= @p_190 (! (fun_app$ veriT_vr36 veriT_vr38) :named @p_199))) :rule cong :premises (t62.t6 t62.t7))
-(step t62.t9 (cl (= @p_192 (! (= @p_196 @p_199) :named @p_200))) :rule cong :premises (t62.t5 t62.t8))
-(step t62 (cl (! (= @p_194 (! (forall ((veriT_vr36 V_astate_v_list_v_result_prod_fun$) (veriT_vr37 Abort_astate_v_list_v_result_prod_fun$) (veriT_vr38 V$)) @p_200) :named @p_202)) :named @p_201)) :rule bind)
-(step t63 (cl (not @p_201) (not @p_194) @p_202) :rule equiv_pos2)
-(step t64 (cl @p_202) :rule th_resolution :premises (t61 t62 t63))
-(anchor :step t65 :args ((:= (?v0 V_astate_v_list_v_result_prod_fun$) veriT_vr39) (:= (?v1 Abort_astate_v_list_v_result_prod_fun$) veriT_vr40) (:= (?v2 Abort$) veriT_vr41)))
-(step t65.t1 (cl (= ?v0 veriT_vr39)) :rule refl)
-(step t65.t2 (cl (! (= ?v1 veriT_vr40) :named @p_208)) :rule refl)
-(step t65.t3 (cl (! (= ?v2 veriT_vr41) :named @p_209)) :rule refl)
-(step t65.t4 (cl (= @p_204 (! (rabort$ veriT_vr41) :named @p_205))) :rule cong :premises (t65.t3))
-(step t65.t5 (cl (= @p_206 (! (case_error_result$ veriT_vr39 veriT_vr40 @p_205) :named @p_207))) :rule cong :premises (t65.t1 t65.t2 t65.t4))
-(step t65.t6 (cl @p_208) :rule refl)
-(step t65.t7 (cl @p_209) :rule refl)
-(step t65.t8 (cl (= @p_210 (! (fun_app$a veriT_vr40 veriT_vr41) :named @p_211))) :rule cong :premises (t65.t6 t65.t7))
-(step t65.t9 (cl (= @p_212 (! (= @p_207 @p_211) :named @p_213))) :rule cong :premises (t65.t5 t65.t8))
-(step t65 (cl (! (= @p_203 (! (forall ((veriT_vr39 V_astate_v_list_v_result_prod_fun$) (veriT_vr40 Abort_astate_v_list_v_result_prod_fun$) (veriT_vr41 Abort$)) @p_213) :named @p_215)) :named @p_214)) :rule bind)
-(step t66 (cl (not @p_214) (not @p_203) @p_215) :rule equiv_pos2)
-(step t67 (cl @p_215) :rule th_resolution :premises (a9 t65 t66))
-(anchor :step t68 :args ((:= (veriT_vr39 V_astate_v_list_v_result_prod_fun$) veriT_vr42) (:= (veriT_vr40 Abort_astate_v_list_v_result_prod_fun$) veriT_vr43) (:= (veriT_vr41 Abort$) veriT_vr44)))
-(step t68.t1 (cl (= veriT_vr39 veriT_vr42)) :rule refl)
-(step t68.t2 (cl (! (= veriT_vr40 veriT_vr43) :named @p_218)) :rule refl)
-(step t68.t3 (cl (! (= veriT_vr41 veriT_vr44) :named @p_219)) :rule refl)
-(step t68.t4 (cl (= @p_205 (! (rabort$ veriT_vr44) :named @p_216))) :rule cong :premises (t68.t3))
-(step t68.t5 (cl (= @p_207 (! (case_error_result$ veriT_vr42 veriT_vr43 @p_216) :named @p_217))) :rule cong :premises (t68.t1 t68.t2 t68.t4))
-(step t68.t6 (cl @p_218) :rule refl)
-(step t68.t7 (cl @p_219) :rule refl)
-(step t68.t8 (cl (= @p_211 (! (fun_app$a veriT_vr43 veriT_vr44) :named @p_220))) :rule cong :premises (t68.t6 t68.t7))
-(step t68.t9 (cl (= @p_213 (! (= @p_217 @p_220) :named @p_221))) :rule cong :premises (t68.t5 t68.t8))
-(step t68 (cl (! (= @p_215 (! (forall ((veriT_vr42 V_astate_v_list_v_result_prod_fun$) (veriT_vr43 Abort_astate_v_list_v_result_prod_fun$) (veriT_vr44 Abort$)) @p_221) :named @p_223)) :named @p_222)) :rule bind)
-(step t69 (cl (not @p_222) (not @p_215) @p_223) :rule equiv_pos2)
-(step t70 (cl @p_223) :rule th_resolution :premises (t67 t68 t69))
-(anchor :step t71 :args ((:= (?v0 Astate$) veriT_vr45) (:= (?v1 Astate$) veriT_vr46) (:= (?v2 V_list_v_result$) veriT_vr47) (:= (?v3 Astate$) veriT_vr48)))
-(step t71.t1 (cl (= ?v0 veriT_vr45)) :rule refl)
-(step t71.t2 (cl (! (= ?v1 veriT_vr46) :named @p_236)) :rule refl)
-(step t71.t3 (cl (! (= ?v2 veriT_vr47) :named @p_228)) :rule refl)
-(step t71.t4 (cl (= @p_225 (! (pair$ veriT_vr46 veriT_vr47) :named @p_226))) :rule cong :premises (t71.t2 t71.t3))
-(step t71.t5 (cl (= @p_2 (! (fix_clock$ veriT_vr45 @p_226) :named @p_227))) :rule cong :premises (t71.t1 t71.t4))
-(step t71.t6 (cl (! (= ?v3 veriT_vr48) :named @p_233)) :rule refl)
-(step t71.t7 (cl @p_228) :rule refl)
-(step t71.t8 (cl (= @p_229 (! (pair$ veriT_vr48 veriT_vr47) :named @p_230))) :rule cong :premises (t71.t6 t71.t7))
-(step t71.t9 (cl (= @p_231 (! (= @p_227 @p_230) :named @p_232))) :rule cong :premises (t71.t5 t71.t8))
-(step t71.t10 (cl @p_233) :rule refl)
-(step t71.t11 (cl (= @p_234 (! (clock$ veriT_vr48) :named @p_235))) :rule cong :premises (t71.t10))
-(step t71.t12 (cl @p_236) :rule refl)
-(step t71.t13 (cl (= @p_237 (! (clock$ veriT_vr46) :named @p_238))) :rule cong :premises (t71.t12))
-(step t71.t14 (cl (= @p_239 (! (less_eq$ @p_235 @p_238) :named @p_240))) :rule cong :premises (t71.t11 t71.t13))
-(step t71.t15 (cl (= @p_241 (! (=> @p_232 @p_240) :named @p_242))) :rule cong :premises (t71.t9 t71.t14))
-(step t71 (cl (! (= @p_224 (! (forall ((veriT_vr45 Astate$) (veriT_vr46 Astate$) (veriT_vr47 V_list_v_result$) (veriT_vr48 Astate$)) @p_242) :named @p_244)) :named @p_243)) :rule bind)
-(step t72 (cl (not @p_243) (not @p_224) @p_244) :rule equiv_pos2)
-(step t73 (cl @p_244) :rule th_resolution :premises (a10 t71 t72))
-(anchor :step t74 :args ((:= (veriT_vr45 Astate$) veriT_vr49) (:= (veriT_vr46 Astate$) veriT_vr50) (:= (veriT_vr47 V_list_v_result$) veriT_vr51) (:= (veriT_vr48 Astate$) veriT_vr52)))
-(step t74.t1 (cl (= veriT_vr45 veriT_vr49)) :rule refl)
-(step t74.t2 (cl (! (= veriT_vr46 veriT_vr50) :named @p_252)) :rule refl)
-(step t74.t3 (cl (! (= veriT_vr47 veriT_vr51) :named @p_247)) :rule refl)
-(step t74.t4 (cl (= @p_226 (! (pair$ veriT_vr50 veriT_vr51) :named @p_245))) :rule cong :premises (t74.t2 t74.t3))
-(step t74.t5 (cl (= @p_227 (! (fix_clock$ veriT_vr49 @p_245) :named @p_246))) :rule cong :premises (t74.t1 t74.t4))
-(step t74.t6 (cl (! (= veriT_vr48 veriT_vr52) :named @p_250)) :rule refl)
-(step t74.t7 (cl @p_247) :rule refl)
-(step t74.t8 (cl (= @p_230 (! (pair$ veriT_vr52 veriT_vr51) :named @p_248))) :rule cong :premises (t74.t6 t74.t7))
-(step t74.t9 (cl (= @p_232 (! (= @p_246 @p_248) :named @p_249))) :rule cong :premises (t74.t5 t74.t8))
-(step t74.t10 (cl @p_250) :rule refl)
-(step t74.t11 (cl (= @p_235 (! (clock$ veriT_vr52) :named @p_251))) :rule cong :premises (t74.t10))
-(step t74.t12 (cl @p_252) :rule refl)
-(step t74.t13 (cl (= @p_238 (! (clock$ veriT_vr50) :named @p_253))) :rule cong :premises (t74.t12))
-(step t74.t14 (cl (= @p_240 (! (less_eq$ @p_251 @p_253) :named @p_254))) :rule cong :premises (t74.t11 t74.t13))
-(step t74.t15 (cl (= @p_242 (! (=> @p_249 @p_254) :named @p_255))) :rule cong :premises (t74.t9 t74.t14))
-(step t74 (cl (! (= @p_244 (! (forall ((veriT_vr49 Astate$) (veriT_vr50 Astate$) (veriT_vr51 V_list_v_result$) (veriT_vr52 Astate$)) @p_255) :named @p_257)) :named @p_256)) :rule bind)
-(step t75 (cl (not @p_256) (not @p_244) @p_257) :rule equiv_pos2)
-(step t76 (cl @p_257) :rule th_resolution :premises (t73 t74 t75))
-(anchor :step t77 :args ((:= (?v0 Astate$) veriT_vr53) (:= (?v1 Astate$) veriT_vr54) (:= (?v2 V_list_v_result$) veriT_vr55)))
-(step t77.t1 (cl (! (= ?v0 veriT_vr53) :named @p_261)) :rule refl)
-(step t77.t2 (cl (! (= ?v1 veriT_vr54) :named @p_262)) :rule refl)
-(step t77.t3 (cl (! (= ?v2 veriT_vr55) :named @p_267)) :rule refl)
-(step t77.t4 (cl (= @p_225 (! (pair$ veriT_vr54 veriT_vr55) :named @p_259))) :rule cong :premises (t77.t2 t77.t3))
-(step t77.t5 (cl (= @p_2 (! (fix_clock$ veriT_vr53 @p_259) :named @p_260))) :rule cong :premises (t77.t1 t77.t4))
-(step t77.t6 (cl @p_261) :rule refl)
-(step t77.t7 (cl @p_262) :rule refl)
-(step t77.t8 (cl (= @p_263 (! (uu$ veriT_vr53 veriT_vr54) :named @p_264))) :rule cong :premises (t77.t6 t77.t7))
-(step t77.t9 (cl @p_262) :rule refl)
-(step t77.t10 (cl (= @p_265 (! (update_clock$ @p_264 veriT_vr54) :named @p_266))) :rule cong :premises (t77.t8 t77.t9))
-(step t77.t11 (cl @p_267) :rule refl)
-(step t77.t12 (cl (= @p_268 (! (pair$ @p_266 veriT_vr55) :named @p_269))) :rule cong :premises (t77.t10 t77.t11))
-(step t77.t13 (cl (= @p_270 (! (= @p_260 @p_269) :named @p_271))) :rule cong :premises (t77.t5 t77.t12))
-(step t77 (cl (! (= @p_258 (! (forall ((veriT_vr53 Astate$) (veriT_vr54 Astate$) (veriT_vr55 V_list_v_result$)) @p_271) :named @p_273)) :named @p_272)) :rule bind)
-(step t78 (cl (not @p_272) (not @p_258) @p_273) :rule equiv_pos2)
-(step t79 (cl @p_273) :rule th_resolution :premises (a11 t77 t78))
-(anchor :step t80 :args ((:= (veriT_vr53 Astate$) veriT_vr56) (:= (veriT_vr54 Astate$) veriT_vr57) (:= (veriT_vr55 V_list_v_result$) veriT_vr58)))
-(step t80.t1 (cl (! (= veriT_vr53 veriT_vr56) :named @p_276)) :rule refl)
-(step t80.t2 (cl (! (= veriT_vr54 veriT_vr57) :named @p_277)) :rule refl)
-(step t80.t3 (cl (! (= veriT_vr55 veriT_vr58) :named @p_280)) :rule refl)
-(step t80.t4 (cl (= @p_259 (! (pair$ veriT_vr57 veriT_vr58) :named @p_274))) :rule cong :premises (t80.t2 t80.t3))
-(step t80.t5 (cl (= @p_260 (! (fix_clock$ veriT_vr56 @p_274) :named @p_275))) :rule cong :premises (t80.t1 t80.t4))
-(step t80.t6 (cl @p_276) :rule refl)
-(step t80.t7 (cl @p_277) :rule refl)
-(step t80.t8 (cl (= @p_264 (! (uu$ veriT_vr56 veriT_vr57) :named @p_278))) :rule cong :premises (t80.t6 t80.t7))
-(step t80.t9 (cl @p_277) :rule refl)
-(step t80.t10 (cl (= @p_266 (! (update_clock$ @p_278 veriT_vr57) :named @p_279))) :rule cong :premises (t80.t8 t80.t9))
-(step t80.t11 (cl @p_280) :rule refl)
-(step t80.t12 (cl (= @p_269 (! (pair$ @p_279 veriT_vr58) :named @p_281))) :rule cong :premises (t80.t10 t80.t11))
-(step t80.t13 (cl (= @p_271 (! (= @p_275 @p_281) :named @p_282))) :rule cong :premises (t80.t5 t80.t12))
-(step t80 (cl (! (= @p_273 (! (forall ((veriT_vr56 Astate$) (veriT_vr57 Astate$) (veriT_vr58 V_list_v_result$)) @p_282) :named @p_284)) :named @p_283)) :rule bind)
-(step t81 (cl (not @p_283) (not @p_273) @p_284) :rule equiv_pos2)
-(step t82 (cl @p_284) :rule th_resolution :premises (t79 t80 t81))
-(anchor :step t83 :args ((:= (?v0 V_error_result$) veriT_vr59) (:= (?v1 V$) veriT_vr60)))
-(step t83.t1 (cl (! (= ?v0 veriT_vr59) :named @p_291)) :rule refl)
-(step t83.t2 (cl (= @p_287 (! (rerr$ veriT_vr59) :named @p_288))) :rule cong :premises (t83.t1))
-(step t83.t3 (cl (= @p_289 (! (= r$ @p_288) :named @p_290))) :rule cong :premises (t83.t2))
-(step t83.t4 (cl @p_291) :rule refl)
-(step t83.t5 (cl (! (= ?v1 veriT_vr60) :named @p_296)) :rule refl)
-(step t83.t6 (cl (= @p_140 (! (rraise$ veriT_vr60) :named @p_292))) :rule cong :premises (t83.t5))
-(step t83.t7 (cl (= @p_3 (! (= veriT_vr59 @p_292) :named @p_293))) :rule cong :premises (t83.t4 t83.t6))
-(step t83.t8 (cl (= @p_294 (! (and @p_290 @p_293) :named @p_295))) :rule cong :premises (t83.t3 t83.t7))
-(step t83.t9 (cl @p_296) :rule refl)
-(step t83.t10 (cl (= @p_297 (! (fun_evaluate_match$ st$ env$ veriT_vr60 pes$) :named @p_298))) :rule cong :premises (t83.t9))
-(step t83.t11 (cl @p_296) :rule refl)
-(step t83.t12 (cl (= @p_299 (! (fun_app$ @p_298 veriT_vr60) :named @p_300))) :rule cong :premises (t83.t10 t83.t11))
-(step t83.t13 (cl (= @p_301 (! (fst$ @p_300) :named @p_302))) :rule cong :premises (t83.t12))
-(step t83.t14 (cl (= @p_303 (! (clock$ @p_302) :named @p_304))) :rule cong :premises (t83.t13))
-(step t83.t15 (cl (= @p_305 (! (less_eq$ @p_304 @p_286) :named @p_306))) :rule cong :premises (t83.t14))
-(step t83.t16 (cl (= @p_307 (! (=> @p_295 @p_306) :named @p_308))) :rule cong :premises (t83.t8 t83.t15))
-(step t83 (cl (! (= @p_285 (! (forall ((veriT_vr59 V_error_result$) (veriT_vr60 V$)) @p_308) :named @p_310)) :named @p_309)) :rule bind)
-(step t84 (cl (not @p_309) (not @p_285) @p_310) :rule equiv_pos2)
-(step t85 (cl @p_310) :rule th_resolution :premises (a12 t83 t84))
-(anchor :step t86 :args ((:= (veriT_vr59 V_error_result$) veriT_vr61) (:= (veriT_vr60 V$) veriT_vr62)))
-(step t86.t1 (cl (! (= veriT_vr59 veriT_vr61) :named @p_313)) :rule refl)
-(step t86.t2 (cl (= @p_288 (! (rerr$ veriT_vr61) :named @p_311))) :rule cong :premises (t86.t1))
-(step t86.t3 (cl (= @p_290 (! (= r$ @p_311) :named @p_312))) :rule cong :premises (t86.t2))
-(step t86.t4 (cl @p_313) :rule refl)
-(step t86.t5 (cl (! (= veriT_vr60 veriT_vr62) :named @p_317)) :rule refl)
-(step t86.t6 (cl (= @p_292 (! (rraise$ veriT_vr62) :named @p_314))) :rule cong :premises (t86.t5))
-(step t86.t7 (cl (= @p_293 (! (= veriT_vr61 @p_314) :named @p_315))) :rule cong :premises (t86.t4 t86.t6))
-(step t86.t8 (cl (= @p_295 (! (and @p_312 @p_315) :named @p_316))) :rule cong :premises (t86.t3 t86.t7))
-(step t86.t9 (cl @p_317) :rule refl)
-(step t86.t10 (cl (= @p_298 (! (fun_evaluate_match$ st$ env$ veriT_vr62 pes$) :named @p_318))) :rule cong :premises (t86.t9))
-(step t86.t11 (cl @p_317) :rule refl)
-(step t86.t12 (cl (= @p_300 (! (fun_app$ @p_318 veriT_vr62) :named @p_319))) :rule cong :premises (t86.t10 t86.t11))
-(step t86.t13 (cl (= @p_302 (! (fst$ @p_319) :named @p_320))) :rule cong :premises (t86.t12))
-(step t86.t14 (cl (= @p_304 (! (clock$ @p_320) :named @p_321))) :rule cong :premises (t86.t13))
-(step t86.t15 (cl (= @p_306 (! (less_eq$ @p_321 @p_286) :named @p_322))) :rule cong :premises (t86.t14))
-(step t86.t16 (cl (= @p_308 (! (=> @p_316 @p_322) :named @p_323))) :rule cong :premises (t86.t8 t86.t15))
-(step t86 (cl (! (= @p_310 (! (forall ((veriT_vr61 V_error_result$) (veriT_vr62 V$)) @p_323) :named @p_325)) :named @p_324)) :rule bind)
-(step t87 (cl (not @p_324) (not @p_310) @p_325) :rule equiv_pos2)
-(step t88 (cl @p_325) :rule th_resolution :premises (t85 t86 t87))
-(step t89 (cl (! (= @p_326 (! (and @p_327 (! (not @p_328) :named @p_334)) :named @p_330)) :named @p_329)) :rule bool_simplify)
-(step t90 (cl (! (not @p_329) :named @p_333) (! (not @p_326) :named @p_331) @p_330) :rule equiv_pos2)
-(step t91 (cl (not @p_331) @p_332) :rule not_not)
-(step t92 (cl @p_333 @p_332 @p_330) :rule th_resolution :premises (t91 t90))
-(step t93 (cl @p_330) :rule th_resolution :premises (a13 t89 t92))
-(step t94 (cl @p_327) :rule and :premises (t93))
-(step t95 (cl @p_334) :rule and :premises (t93))
-(step t96 (cl (or (! (not @p_71) :named @p_336) (! (forall ((veriT_vr13 Nat$) (veriT_vr14 Nat$) (veriT_vr15 Nat$)) (or (not @p_62) (not @p_64) @p_68)) :named @p_516))) :rule qnt_cnf)
-(step t97 (cl (or (! (not @p_136) :named @p_399) (! (forall ((veriT_vr23 Astate$) (veriT_vr24 Astate_v_list_v_result_prod$) (veriT_vr26 V_list_v_result$)) (or @p_335 @p_112)) :named @p_577))) :rule qnt_cnf)
-(step t98 (cl (or @p_336 (! (=> (! (and @p_337 (! (less_eq$ @p_338 @p_339) :named @p_341)) :named @p_340) @p_328) :named @p_342))) :rule forall_inst :args ((:= veriT_vr13 @p_339) (:= veriT_vr14 @p_4) (:= veriT_vr15 @p_338)))
-(step t99 (cl @p_340 (! (not @p_337) :named @p_517) (! (not @p_341) :named @p_343)) :rule and_neg)
-(step t100 (cl (! (not @p_342) :named @p_344) (! (not @p_340) :named @p_345) @p_328) :rule implies_pos)
-(step t101 (cl @p_336 @p_342) :rule or :premises (t98))
-(step t102 (cl @p_340 @p_343) :rule resolution :premises (t99 a4))
-(step t103 (cl @p_344 @p_345) :rule resolution :premises (t100 t95))
-(step t104 (cl @p_342) :rule resolution :premises (t101 t31))
-(step t105 (cl @p_345) :rule resolution :premises (t103 t104))
-(step t106 (cl @p_343) :rule resolution :premises (t102 t105))
-(step t107 (cl (not (! (not @p_336) :named @p_521)) @p_71) :rule not_not)
-(step t108 (cl (or (! (not @p_284) :named @p_497) (! (= (fix_clock$ st$a (pair$ @p_346 r$)) (pair$ @p_504 r$)) :named @p_498))) :rule forall_inst :args ((:= veriT_vr56 st$a) (:= veriT_vr57 @p_346) (:= veriT_vr58 r$)))
-(step t109 (cl (or (! (not @p_181) :named @p_395) (! (not (! (and (! (forall ((veriT_vr31 V$)) (! (not (! (= x2$ @p_170) :named @p_350)) :named @p_352)) :named @p_348) (! (forall ((veriT_vr32 Abort$)) (! (not (! (= x2$ @p_175) :named @p_356)) :named @p_358)) :named @p_354)) :named @p_360)) :named @p_347))) :rule forall_inst :args ((:= veriT_vr30 x2$)))
-(anchor :step t110)
-(assume t110.h1 @p_347)
-(anchor :step t110.t2 :args ((:= (veriT_vr31 V$) veriT_vr63)))
-(step t110.t2.t1 (cl (= veriT_vr31 veriT_vr63)) :rule refl)
-(step t110.t2.t2 (cl (= @p_170 (! (rraise$ veriT_vr63) :named @p_349))) :rule cong :premises (t110.t2.t1))
-(step t110.t2.t3 (cl (= @p_350 (! (= x2$ @p_349) :named @p_351))) :rule cong :premises (t110.t2.t2))
-(step t110.t2.t4 (cl (= @p_352 (! (not @p_351) :named @p_353))) :rule cong :premises (t110.t2.t3))
-(step t110.t2 (cl (= @p_348 (! (forall ((veriT_vr63 V$)) @p_353) :named @p_361))) :rule bind)
-(anchor :step t110.t3 :args ((:= (veriT_vr32 Abort$) veriT_vr64)))
-(step t110.t3.t1 (cl (= veriT_vr32 veriT_vr64)) :rule refl)
-(step t110.t3.t2 (cl (= @p_175 (! (rabort$ veriT_vr64) :named @p_355))) :rule cong :premises (t110.t3.t1))
-(step t110.t3.t3 (cl (= @p_356 (! (= x2$ @p_355) :named @p_357))) :rule cong :premises (t110.t3.t2))
-(step t110.t3.t4 (cl (= @p_358 (! (not @p_357) :named @p_359))) :rule cong :premises (t110.t3.t3))
-(step t110.t3 (cl (= @p_354 (! (forall ((veriT_vr64 Abort$)) @p_359) :named @p_362))) :rule bind)
-(step t110.t4 (cl (= @p_360 (! (and @p_361 @p_362) :named @p_363))) :rule cong :premises (t110.t2 t110.t3))
-(step t110.t5 (cl (! (= @p_347 (! (not @p_363) :named @p_366)) :named @p_364)) :rule cong :premises (t110.t4))
-(step t110.t6 (cl (! (not @p_364) :named @p_367) (! (not @p_347) :named @p_365) @p_366) :rule equiv_pos2)
-(step t110.t7 (cl (! (not @p_365) :named @p_394) @p_360) :rule not_not)
-(step t110.t8 (cl @p_367 @p_360 @p_366) :rule th_resolution :premises (t110.t7 t110.t6))
-(step t110.t9 (cl @p_366) :rule th_resolution :premises (t110.h1 t110.t5 t110.t8))
-(anchor :step t110.t10 :args ((:= (veriT_vr63 V$) veriT_vr65)))
-(step t110.t10.t1 (cl (= veriT_vr63 veriT_vr65)) :rule refl)
-(step t110.t10.t2 (cl (= @p_349 @p_369)) :rule cong :premises (t110.t10.t1))
-(step t110.t10.t3 (cl (= @p_351 @p_370)) :rule cong :premises (t110.t10.t2))
-(step t110.t10.t4 (cl (= @p_353 @p_368)) :rule cong :premises (t110.t10.t3))
-(step t110.t10 (cl (= @p_361 (! (forall ((veriT_vr65 V$)) @p_368) :named @p_374))) :rule bind)
-(anchor :step t110.t11 :args ((:= (veriT_vr64 Abort$) veriT_vr66)))
-(step t110.t11.t1 (cl (= veriT_vr64 veriT_vr66)) :rule refl)
-(step t110.t11.t2 (cl (= @p_355 @p_372)) :rule cong :premises (t110.t11.t1))
-(step t110.t11.t3 (cl (= @p_357 @p_373)) :rule cong :premises (t110.t11.t2))
-(step t110.t11.t4 (cl (= @p_359 @p_371)) :rule cong :premises (t110.t11.t3))
-(step t110.t11 (cl (= @p_362 (! (forall ((veriT_vr66 Abort$)) @p_371) :named @p_375))) :rule bind)
-(step t110.t12 (cl (= @p_363 (! (and @p_374 @p_375) :named @p_376))) :rule cong :premises (t110.t10 t110.t11))
-(step t110.t13 (cl (! (= @p_366 (! (not @p_376) :named @p_378)) :named @p_377)) :rule cong :premises (t110.t12))
-(step t110.t14 (cl (! (not @p_377) :named @p_380) (! (not @p_366) :named @p_379) @p_378) :rule equiv_pos2)
-(step t110.t15 (cl (not @p_379) @p_363) :rule not_not)
-(step t110.t16 (cl @p_380 @p_363 @p_378) :rule th_resolution :premises (t110.t15 t110.t14))
-(step t110.t17 (cl @p_378) :rule th_resolution :premises (t110.t9 t110.t13 t110.t16))
-(anchor :step t110.t18 :args ((:= (veriT_vr65 V$) veriT_sk0)))
-(step t110.t18.t1 (cl (= veriT_vr65 veriT_sk0)) :rule refl)
-(step t110.t18.t2 (cl (= @p_369 (! (rraise$ veriT_sk0) :named @p_383))) :rule cong :premises (t110.t18.t1))
-(step t110.t18.t3 (cl (= @p_370 (! (= x2$ @p_383) :named @p_384))) :rule cong :premises (t110.t18.t2))
-(step t110.t18.t4 (cl (= @p_368 (! (not @p_384) :named @p_381))) :rule cong :premises (t110.t18.t3))
-(step t110.t18 (cl (= @p_374 @p_381)) :rule sko_forall)
-(anchor :step t110.t19 :args ((:= (veriT_vr66 Abort$) veriT_sk1)))
-(step t110.t19.t1 (cl (= veriT_vr66 veriT_sk1)) :rule refl)
-(step t110.t19.t2 (cl (= @p_372 (! (rabort$ veriT_sk1) :named @p_387))) :rule cong :premises (t110.t19.t1))
-(step t110.t19.t3 (cl (= @p_373 (! (= x2$ @p_387) :named @p_388))) :rule cong :premises (t110.t19.t2))
-(step t110.t19.t4 (cl (= @p_371 (! (not @p_388) :named @p_385))) :rule cong :premises (t110.t19.t3))
-(step t110.t19 (cl (= @p_375 @p_385)) :rule sko_forall)
-(step t110.t20 (cl (= @p_376 (! (and @p_381 @p_385) :named @p_389))) :rule cong :premises (t110.t18 t110.t19))
-(step t110.t21 (cl (! (= @p_378 (! (not @p_389) :named @p_390)) :named @p_391)) :rule cong :premises (t110.t20))
-(step t110.t22 (cl (! (not @p_391) :named @p_393) (! (not @p_378) :named @p_392) @p_390) :rule equiv_pos2)
-(step t110.t23 (cl (not @p_392) @p_376) :rule not_not)
-(step t110.t24 (cl @p_393 @p_376 @p_390) :rule th_resolution :premises (t110.t23 t110.t22))
-(step t110.t25 (cl @p_390) :rule th_resolution :premises (t110.t17 t110.t21 t110.t24))
-(step t110 (cl @p_365 @p_390) :rule subproof :discharge (h1))
-(step t111 (cl @p_394 @p_360) :rule not_not)
-(step t112 (cl @p_360 @p_390) :rule th_resolution :premises (t111 t110))
-(step t113 (cl @p_395 @p_347) :rule or :premises (t109))
-(step t114 (cl (! (or @p_395 @p_390) :named @p_397) (! (not @p_395) :named @p_396)) :rule or_neg)
-(step t115 (cl (not @p_396) @p_181) :rule not_not)
-(step t116 (cl @p_397 @p_181) :rule th_resolution :premises (t115 t114))
-(step t117 (cl @p_397 (! (not @p_390) :named @p_398)) :rule or_neg)
-(step t118 (cl (not @p_398) @p_389) :rule not_not)
-(step t119 (cl @p_397 @p_389) :rule th_resolution :premises (t118 t117))
-(step t120 (cl @p_397) :rule th_resolution :premises (t113 t112 t116 t119))
-(step t121 (cl (not (! (not @p_399) :named @p_436)) @p_136) :rule not_not)
-(step t122 (cl (or @p_399 (! (and (! (=> (! (= @p_346 @p_346) :named @p_400) (! (exists ((veriT_vr25 V_list_v_result$)) (! (= @p_1 (! (pair$ @p_346 veriT_vr25) :named @p_403)) :named @p_405)) :named @p_402)) :named @p_407) (! (=> (! (not (! (forall ((veriT_vr26 V_list_v_result$)) (! (not (! (= @p_1 (! (pair$ @p_346 veriT_vr26) :named @p_410)) :named @p_411)) :named @p_412)) :named @p_409)) :named @p_414) @p_400) :named @p_416)) :named @p_401))) :rule forall_inst :args ((:= veriT_vr23 @p_346) (:= veriT_vr24 @p_1)))
-(anchor :step t123)
-(assume t123.h1 @p_401)
-(anchor :step t123.t2 :args ((:= (veriT_vr25 V_list_v_result$) veriT_vr72)))
-(step t123.t2.t1 (cl (= veriT_vr25 veriT_vr72)) :rule refl)
-(step t123.t2.t2 (cl (= @p_403 (! (pair$ @p_346 veriT_vr72) :named @p_404))) :rule cong :premises (t123.t2.t1))
-(step t123.t2.t3 (cl (= @p_405 (! (= @p_1 @p_404) :named @p_406))) :rule cong :premises (t123.t2.t2))
-(step t123.t2 (cl (= @p_402 (! (exists ((veriT_vr72 V_list_v_result$)) @p_406) :named @p_408))) :rule bind)
-(step t123.t3 (cl (= @p_407 (! (=> @p_400 @p_408) :named @p_418))) :rule cong :premises (t123.t2))
-(anchor :step t123.t4 :args ((:= (veriT_vr26 V_list_v_result$) veriT_vr72)))
-(step t123.t4.t1 (cl (= veriT_vr26 veriT_vr72)) :rule refl)
-(step t123.t4.t2 (cl (= @p_410 @p_404)) :rule cong :premises (t123.t4.t1))
-(step t123.t4.t3 (cl (= @p_411 @p_406)) :rule cong :premises (t123.t4.t2))
-(step t123.t4.t4 (cl (= @p_412 (! (not @p_406) :named @p_413))) :rule cong :premises (t123.t4.t3))
-(step t123.t4 (cl (= @p_409 (! (forall ((veriT_vr72 V_list_v_result$)) @p_413) :named @p_415))) :rule bind)
-(step t123.t5 (cl (= @p_414 (! (not @p_415) :named @p_417))) :rule cong :premises (t123.t4))
-(step t123.t6 (cl (= @p_416 (! (=> @p_417 @p_400) :named @p_419))) :rule cong :premises (t123.t5))
-(step t123.t7 (cl (! (= @p_401 (! (and @p_418 @p_419) :named @p_422)) :named @p_420)) :rule cong :premises (t123.t3 t123.t6))
-(step t123.t8 (cl (not @p_420) (! (not @p_401) :named @p_421) @p_422) :rule equiv_pos2)
-(step t123.t9 (cl @p_422) :rule th_resolution :premises (t123.h1 t123.t7 t123.t8))
-(step t123.t10 (cl (= @p_400 true)) :rule eq_simplify)
-(step t123.t11 (cl (= @p_418 (! (=> true @p_408) :named @p_423))) :rule cong :premises (t123.t10))
-(step t123.t12 (cl (= @p_423 @p_408)) :rule implies_simplify)
-(step t123.t13 (cl (= @p_418 @p_408)) :rule trans :premises (t123.t11 t123.t12))
-(step t123.t14 (cl (= @p_419 (! (=> @p_417 true) :named @p_424))) :rule cong :premises (t123.t10))
-(step t123.t15 (cl (= @p_424 true)) :rule implies_simplify)
-(step t123.t16 (cl (= @p_419 true)) :rule trans :premises (t123.t14 t123.t15))
-(step t123.t17 (cl (= @p_422 (! (and @p_408 true) :named @p_425))) :rule cong :premises (t123.t13 t123.t16))
-(step t123.t18 (cl (= @p_425 (! (and @p_408) :named @p_426))) :rule and_simplify)
-(step t123.t19 (cl (= @p_426 @p_408)) :rule and_simplify)
-(step t123.t20 (cl (! (= @p_422 @p_408) :named @p_427)) :rule trans :premises (t123.t17 t123.t18 t123.t19))
-(step t123.t21 (cl (not @p_427) (not @p_422) @p_408) :rule equiv_pos2)
-(step t123.t22 (cl @p_408) :rule th_resolution :premises (t123.t9 t123.t20 t123.t21))
-(anchor :step t123.t23 :args ((:= (veriT_vr72 V_list_v_result$) veriT_vr73)))
-(step t123.t23.t1 (cl (= veriT_vr72 veriT_vr73)) :rule refl)
-(step t123.t23.t2 (cl (= @p_404 @p_429)) :rule cong :premises (t123.t23.t1))
-(step t123.t23.t3 (cl (= @p_406 @p_428)) :rule cong :premises (t123.t23.t2))
-(step t123.t23 (cl (! (= @p_408 (! (exists ((veriT_vr73 V_list_v_result$)) @p_428) :named @p_431)) :named @p_430)) :rule bind)
-(step t123.t24 (cl (not @p_430) (not @p_408) @p_431) :rule equiv_pos2)
-(step t123.t25 (cl @p_431) :rule th_resolution :premises (t123.t22 t123.t23 t123.t24))
-(anchor :step t123.t26 :args ((:= (veriT_vr73 V_list_v_result$) veriT_sk3)))
-(step t123.t26.t1 (cl (= veriT_vr73 veriT_sk3)) :rule refl)
-(step t123.t26.t2 (cl (= @p_429 (! (pair$ @p_346 veriT_sk3) :named @p_434))) :rule cong :premises (t123.t26.t1))
-(step t123.t26.t3 (cl (= @p_428 (! (= @p_1 @p_434) :named @p_432))) :rule cong :premises (t123.t26.t2))
-(step t123.t26 (cl (! (= @p_431 @p_432) :named @p_435)) :rule sko_ex)
-(step t123.t27 (cl (not @p_435) (not @p_431) @p_432) :rule equiv_pos2)
-(step t123.t28 (cl @p_432) :rule th_resolution :premises (t123.t25 t123.t26 t123.t27))
-(step t123 (cl @p_421 @p_432) :rule subproof :discharge (h1))
-(step t124 (cl @p_399 @p_401) :rule or :premises (t122))
-(step t125 (cl (! (or @p_399 @p_432) :named @p_437) @p_436) :rule or_neg)
-(step t126 (cl @p_437 @p_136) :rule th_resolution :premises (t121 t125))
-(step t127 (cl @p_437 (! (not @p_432) :named @p_538)) :rule or_neg)
-(step t128 (cl @p_437) :rule th_resolution :premises (t124 t123 t126 t127))
-(step t129 (cl (or @p_399 (! (and (! (=> (! (= st$ (! (fst$ @p_438) :named @p_674)) :named @p_439) (! (exists ((veriT_vr25 V_list_v_result$)) (! (= @p_438 (! (pair$ st$ veriT_vr25) :named @p_442)) :named @p_444)) :named @p_441)) :named @p_446) (! (=> (! (not (! (forall ((veriT_vr26 V_list_v_result$)) (! (not (! (= @p_438 (! (pair$ st$ veriT_vr26) :named @p_449)) :named @p_450)) :named @p_451)) :named @p_448)) :named @p_453) @p_439) :named @p_455)) :named @p_440))) :rule forall_inst :args ((:= veriT_vr23 st$) (:= veriT_vr24 @p_438)))
+(define-fun veriT_sk0 () V$ (! (choice ((veriT_vr65 V$)) (not (! (not (! (= x2$ (! (rraise$ veriT_vr65) :named @p_401)) :named @p_402)) :named @p_400))) :named @p_414))
+(define-fun veriT_sk1 () Abort$ (! (choice ((veriT_vr66 Abort$)) (not (! (not (! (= x2$ (! (rabort$ veriT_vr66) :named @p_404)) :named @p_405)) :named @p_403))) :named @p_418))
+(define-fun veriT_sk3 () V_list_v_result$ (! (choice ((veriT_vr73 V_list_v_result$)) (! (= (! (fun_evaluate$ st$a env$ (cons$ e$ nil$)) :named @p_3) (! (pair$ (! (fst$ @p_3) :named @p_378) veriT_vr73) :named @p_461)) :named @p_460)) :named @p_465))
+(define-fun veriT_sk11 () V_list_v_result$ (! (choice ((veriT_vr108 V_list_v_result$)) (! (= (! (fix_clock$ st$a @p_3) :named @p_470) (! (pair$ st$ veriT_vr108) :named @p_503)) :named @p_502)) :named @p_515))
+(assume axiom0 (! (forall ((?v0 V$)) (! (= (! (fun_app$ uua$ ?v0) :named @p_9) (! (fun_app$ (! (fun_evaluate_match$ st$ env$ ?v0 pes$) :named @p_12) ?v0) :named @p_14)) :named @p_16)) :named @p_8))
+(assume axiom1 (! (forall ((?v0 Abort$)) (! (= (! (fun_app$a uub$ ?v0) :named @p_28) (! (pair$ st$ (! (rerr$ (! (rabort$ ?v0) :named @p_31)) :named @p_33)) :named @p_35)) :named @p_37)) :named @p_27))
+(assume axiom2 (! (forall ((?v0 Astate$) (?v1 Astate$) (?v2 Nat$)) (! (= (! (fun_app$b (! (uu$ ?v0 ?v1) :named @p_5) ?v2) :named @p_53) (! (ite (! (less_eq$ (! (clock$ ?v1) :named @p_1) (! (clock$ ?v0) :named @p_2)) :named @p_57) @p_1 @p_2) :named @p_61)) :named @p_63)) :named @p_49))
+(assume axiom3 (! (= @p_470 (! (pair$ st$ r$) :named @p_609)) :named @p_628))
+(assume axiom4 (! (less_eq$ (! (clock$ @p_378) :named @p_371) (! (clock$ st$a) :named @p_7)) :named @p_369))
+(assume axiom5 (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (! (=> (! (and (! (less_eq$ ?v0 ?v1) :named @p_81) (! (less_eq$ ?v2 ?v0) :named @p_84)) :named @p_86) (! (less_eq$ ?v2 ?v1) :named @p_90)) :named @p_92)) :named @p_80))
+(assume axiom6 (! (forall ((?v0 Astate$) (?v1 Astate_v_list_v_result_prod$)) (! (= (! (= ?v0 (! (fst$ ?v1) :named @p_107)) :named @p_109) (! (exists ((?v2 V_list_v_result$)) (! (= ?v1 (! (pair$ ?v0 ?v2) :named @p_115)) :named @p_117)) :named @p_111)) :named @p_119)) :named @p_106))
+(assume axiom7 (! (forall ((?v0 V_error_result$)) (! (=> (! (and (! (forall ((?v1 V$)) (! (=> (! (= ?v0 (! (rraise$ ?v1) :named @p_174)) :named @p_6) false) :named @p_177)) :named @p_172) (! (forall ((?v1 Abort$)) (! (=> (! (= ?v0 (! (rabort$ ?v1) :named @p_182)) :named @p_184) false) :named @p_186)) :named @p_179)) :named @p_188) false) :named @p_190)) :named @p_171))
+(assume axiom8 (! (forall ((?v0 V_astate_v_list_v_result_prod_fun$) (?v1 Abort_astate_v_list_v_result_prod_fun$) (?v2 V$)) (! (= (! (case_error_result$ ?v0 ?v1 (! (rraise$ ?v2) :named @p_217)) :named @p_219) (! (fun_app$ ?v0 ?v2) :named @p_223)) :named @p_225)) :named @p_216))
+(assume axiom9 (! (forall ((?v0 V_astate_v_list_v_result_prod_fun$) (?v1 Abort_astate_v_list_v_result_prod_fun$) (?v2 Abort$)) (! (= (! (case_error_result$ ?v0 ?v1 (! (rabort$ ?v2) :named @p_238)) :named @p_240) (! (fun_app$a ?v1 ?v2) :named @p_244)) :named @p_246)) :named @p_237))
+(assume axiom10 (! (forall ((?v0 Astate$) (?v1 Astate$) (?v2 V_list_v_result$) (?v3 Astate$)) (! (=> (! (= (! (fix_clock$ ?v0 (! (pair$ ?v1 ?v2) :named @p_259)) :named @p_4) (! (pair$ ?v3 ?v2) :named @p_263)) :named @p_265) (! (less_eq$ (! (clock$ ?v3) :named @p_268) @p_1) :named @p_272)) :named @p_274)) :named @p_258))
+(assume axiom11 (! (forall ((?v0 Astate$) (?v1 Astate$) (?v2 V_list_v_result$)) (! (= @p_4 (! (pair$ (! (update_clock$ @p_5 ?v1) :named @p_297) ?v2) :named @p_300)) :named @p_302)) :named @p_291))
+(assume axiom12 (! (forall ((?v0 V_error_result$) (?v1 V$)) (! (=> (! (and (! (= r$ (! (rerr$ ?v0) :named @p_319)) :named @p_321) @p_6) :named @p_326) (! (less_eq$ (! (clock$ (! (fst$ (! (fun_app$ (! (fun_evaluate_match$ st$ env$ ?v1 pes$) :named @p_329) ?v1) :named @p_331)) :named @p_333)) :named @p_335) (! (clock$ st$) :named @p_318)) :named @p_337)) :named @p_339)) :named @p_317))
+(assume axiom13 (! (not (! (=> (! (= r$ (! (rerr$ x2$) :named @p_615)) :named @p_359) (! (less_eq$ (! (clock$ (! (fst$ (! (case_error_result$ uua$ uub$ x2$) :named @p_602)) :named @p_530)) :named @p_370) @p_7) :named @p_360)) :named @p_364)) :named @p_358))
+(anchor :step t15 :args ((:= (?v0 V$) veriT_vr0)))
+(step t15.t1 (cl (! (= ?v0 veriT_vr0) :named @p_11)) :rule refl)
+(step t15.t2 (cl (= @p_9 (! (fun_app$ uua$ veriT_vr0) :named @p_10))) :rule cong :premises (t15.t1))
+(step t15.t3 (cl @p_11) :rule refl)
+(step t15.t4 (cl (= @p_12 (! (fun_evaluate_match$ st$ env$ veriT_vr0 pes$) :named @p_13))) :rule cong :premises (t15.t3))
+(step t15.t5 (cl @p_11) :rule refl)
+(step t15.t6 (cl (= @p_14 (! (fun_app$ @p_13 veriT_vr0) :named @p_15))) :rule cong :premises (t15.t4 t15.t5))
+(step t15.t7 (cl (= @p_16 (! (= @p_10 @p_15) :named @p_17))) :rule cong :premises (t15.t2 t15.t6))
+(step t15 (cl (! (= @p_8 (! (forall ((veriT_vr0 V$)) @p_17) :named @p_19)) :named @p_18)) :rule bind)
+(step t16 (cl (not @p_18) (not @p_8) @p_19) :rule equiv_pos2)
+(step t17 (cl @p_19) :rule th_resolution :premises (axiom0 t15 t16))
+(anchor :step t18 :args ((:= (veriT_vr0 V$) veriT_vr1)))
+(step t18.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_21)) :rule refl)
+(step t18.t2 (cl (= @p_10 (! (fun_app$ uua$ veriT_vr1) :named @p_20))) :rule cong :premises (t18.t1))
+(step t18.t3 (cl @p_21) :rule refl)
+(step t18.t4 (cl (= @p_13 (! (fun_evaluate_match$ st$ env$ veriT_vr1 pes$) :named @p_22))) :rule cong :premises (t18.t3))
+(step t18.t5 (cl @p_21) :rule refl)
+(step t18.t6 (cl (= @p_15 (! (fun_app$ @p_22 veriT_vr1) :named @p_23))) :rule cong :premises (t18.t4 t18.t5))
+(step t18.t7 (cl (= @p_17 (! (= @p_20 @p_23) :named @p_24))) :rule cong :premises (t18.t2 t18.t6))
+(step t18 (cl (! (= @p_19 (! (forall ((veriT_vr1 V$)) @p_24) :named @p_26)) :named @p_25)) :rule bind)
+(step t19 (cl (not @p_25) (not @p_19) @p_26) :rule equiv_pos2)
+(step t20 (cl @p_26) :rule th_resolution :premises (t17 t18 t19))
+(anchor :step t21 :args ((:= (?v0 Abort$) veriT_vr2)))
+(step t21.t1 (cl (! (= ?v0 veriT_vr2) :named @p_30)) :rule refl)
+(step t21.t2 (cl (= @p_28 (! (fun_app$a uub$ veriT_vr2) :named @p_29))) :rule cong :premises (t21.t1))
+(step t21.t3 (cl @p_30) :rule refl)
+(step t21.t4 (cl (= @p_31 (! (rabort$ veriT_vr2) :named @p_32))) :rule cong :premises (t21.t3))
+(step t21.t5 (cl (= @p_33 (! (rerr$ @p_32) :named @p_34))) :rule cong :premises (t21.t4))
+(step t21.t6 (cl (= @p_35 (! (pair$ st$ @p_34) :named @p_36))) :rule cong :premises (t21.t5))
+(step t21.t7 (cl (= @p_37 (! (= @p_29 @p_36) :named @p_38))) :rule cong :premises (t21.t2 t21.t6))
+(step t21 (cl (! (= @p_27 (! (forall ((veriT_vr2 Abort$)) @p_38) :named @p_40)) :named @p_39)) :rule bind)
+(step t22 (cl (not @p_39) (not @p_27) @p_40) :rule equiv_pos2)
+(step t23 (cl @p_40) :rule th_resolution :premises (axiom1 t21 t22))
+(anchor :step t24 :args ((:= (veriT_vr2 Abort$) veriT_vr3)))
+(step t24.t1 (cl (! (= veriT_vr2 veriT_vr3) :named @p_42)) :rule refl)
+(step t24.t2 (cl (= @p_29 (! (fun_app$a uub$ veriT_vr3) :named @p_41))) :rule cong :premises (t24.t1))
+(step t24.t3 (cl @p_42) :rule refl)
+(step t24.t4 (cl (= @p_32 (! (rabort$ veriT_vr3) :named @p_43))) :rule cong :premises (t24.t3))
+(step t24.t5 (cl (= @p_34 (! (rerr$ @p_43) :named @p_44))) :rule cong :premises (t24.t4))
+(step t24.t6 (cl (= @p_36 (! (pair$ st$ @p_44) :named @p_45))) :rule cong :premises (t24.t5))
+(step t24.t7 (cl (= @p_38 (! (= @p_41 @p_45) :named @p_46))) :rule cong :premises (t24.t2 t24.t6))
+(step t24 (cl (! (= @p_40 (! (forall ((veriT_vr3 Abort$)) @p_46) :named @p_48)) :named @p_47)) :rule bind)
+(step t25 (cl (not @p_47) (not @p_40) @p_48) :rule equiv_pos2)
+(step t26 (cl @p_48) :rule th_resolution :premises (t23 t24 t25))
+(anchor :step t27 :args ((:= (?v0 Astate$) veriT_vr4) (:= (?v1 Astate$) veriT_vr5) (:= (?v2 Nat$) veriT_vr6)))
+(step t27.t1 (cl (! (= ?v0 veriT_vr4) :named @p_56)) :rule refl)
+(step t27.t2 (cl (! (= ?v1 veriT_vr5) :named @p_55)) :rule refl)
+(step t27.t3 (cl (= @p_5 (! (uu$ veriT_vr4 veriT_vr5) :named @p_52))) :rule cong :premises (t27.t1 t27.t2))
+(step t27.t4 (cl (= ?v2 veriT_vr6)) :rule refl)
+(step t27.t5 (cl (= @p_53 (! (fun_app$b @p_52 veriT_vr6) :named @p_54))) :rule cong :premises (t27.t3 t27.t4))
+(step t27.t6 (cl @p_55) :rule refl)
+(step t27.t7 (cl (! (= @p_1 (! (clock$ veriT_vr5) :named @p_50)) :named @p_59)) :rule cong :premises (t27.t6))
+(step t27.t8 (cl @p_56) :rule refl)
+(step t27.t9 (cl (! (= @p_2 (! (clock$ veriT_vr4) :named @p_51)) :named @p_60)) :rule cong :premises (t27.t8))
+(step t27.t10 (cl (= @p_57 (! (less_eq$ @p_50 @p_51) :named @p_58))) :rule cong :premises (t27.t7 t27.t9))
+(step t27.t11 (cl @p_55) :rule refl)
+(step t27.t12 (cl @p_59) :rule cong :premises (t27.t11))
+(step t27.t13 (cl @p_56) :rule refl)
+(step t27.t14 (cl @p_60) :rule cong :premises (t27.t13))
+(step t27.t15 (cl (= @p_61 (! (ite @p_58 @p_50 @p_51) :named @p_62))) :rule cong :premises (t27.t10 t27.t12 t27.t14))
+(step t27.t16 (cl (= @p_63 (! (= @p_54 @p_62) :named @p_64))) :rule cong :premises (t27.t5 t27.t15))
+(step t27 (cl (! (= @p_49 (! (forall ((veriT_vr4 Astate$) (veriT_vr5 Astate$) (veriT_vr6 Nat$)) @p_64) :named @p_66)) :named @p_65)) :rule bind)
+(step t28 (cl (not @p_65) (not @p_49) @p_66) :rule equiv_pos2)
+(step t29 (cl @p_66) :rule th_resolution :premises (axiom2 t27 t28))
+(anchor :step t30 :args ((:= (veriT_vr4 Astate$) veriT_vr7) (:= (veriT_vr5 Astate$) veriT_vr8) (:= (veriT_vr6 Nat$) veriT_vr9)))
+(step t30.t1 (cl (! (= veriT_vr4 veriT_vr7) :named @p_72)) :rule refl)
+(step t30.t2 (cl (! (= veriT_vr5 veriT_vr8) :named @p_71)) :rule refl)
+(step t30.t3 (cl (= @p_52 (! (uu$ veriT_vr7 veriT_vr8) :named @p_69))) :rule cong :premises (t30.t1 t30.t2))
+(step t30.t4 (cl (= veriT_vr6 veriT_vr9)) :rule refl)
+(step t30.t5 (cl (= @p_54 (! (fun_app$b @p_69 veriT_vr9) :named @p_70))) :rule cong :premises (t30.t3 t30.t4))
+(step t30.t6 (cl @p_71) :rule refl)
+(step t30.t7 (cl (! (= @p_50 (! (clock$ veriT_vr8) :named @p_67)) :named @p_74)) :rule cong :premises (t30.t6))
+(step t30.t8 (cl @p_72) :rule refl)
+(step t30.t9 (cl (! (= @p_51 (! (clock$ veriT_vr7) :named @p_68)) :named @p_75)) :rule cong :premises (t30.t8))
+(step t30.t10 (cl (= @p_58 (! (less_eq$ @p_67 @p_68) :named @p_73))) :rule cong :premises (t30.t7 t30.t9))
+(step t30.t11 (cl @p_71) :rule refl)
+(step t30.t12 (cl @p_74) :rule cong :premises (t30.t11))
+(step t30.t13 (cl @p_72) :rule refl)
+(step t30.t14 (cl @p_75) :rule cong :premises (t30.t13))
+(step t30.t15 (cl (= @p_62 (! (ite @p_73 @p_67 @p_68) :named @p_76))) :rule cong :premises (t30.t10 t30.t12 t30.t14))
+(step t30.t16 (cl (= @p_64 (! (= @p_70 @p_76) :named @p_77))) :rule cong :premises (t30.t5 t30.t15))
+(step t30 (cl (! (= @p_66 (! (forall ((veriT_vr7 Astate$) (veriT_vr8 Astate$) (veriT_vr9 Nat$)) @p_77) :named @p_79)) :named @p_78)) :rule bind)
+(step t31 (cl (not @p_78) (not @p_66) @p_79) :rule equiv_pos2)
+(step t32 (cl @p_79) :rule th_resolution :premises (t29 t30 t31))
+(anchor :step t33 :args ((:= (?v0 Nat$) veriT_vr10) (:= (?v1 Nat$) veriT_vr11) (:= (?v2 Nat$) veriT_vr12)))
+(step t33.t1 (cl (! (= ?v0 veriT_vr10) :named @p_83)) :rule refl)
+(step t33.t2 (cl (! (= ?v1 veriT_vr11) :named @p_89)) :rule refl)
+(step t33.t3 (cl (= @p_81 (! (less_eq$ veriT_vr10 veriT_vr11) :named @p_82))) :rule cong :premises (t33.t1 t33.t2))
+(step t33.t4 (cl (! (= ?v2 veriT_vr12) :named @p_88)) :rule refl)
+(step t33.t5 (cl @p_83) :rule refl)
+(step t33.t6 (cl (= @p_84 (! (less_eq$ veriT_vr12 veriT_vr10) :named @p_85))) :rule cong :premises (t33.t4 t33.t5))
+(step t33.t7 (cl (= @p_86 (! (and @p_82 @p_85) :named @p_87))) :rule cong :premises (t33.t3 t33.t6))
+(step t33.t8 (cl @p_88) :rule refl)
+(step t33.t9 (cl @p_89) :rule refl)
+(step t33.t10 (cl (= @p_90 (! (less_eq$ veriT_vr12 veriT_vr11) :named @p_91))) :rule cong :premises (t33.t8 t33.t9))
+(step t33.t11 (cl (= @p_92 (! (=> @p_87 @p_91) :named @p_93))) :rule cong :premises (t33.t7 t33.t10))
+(step t33 (cl (! (= @p_80 (! (forall ((veriT_vr10 Nat$) (veriT_vr11 Nat$) (veriT_vr12 Nat$)) @p_93) :named @p_95)) :named @p_94)) :rule bind)
+(step t34 (cl (not @p_94) (not @p_80) @p_95) :rule equiv_pos2)
+(step t35 (cl @p_95) :rule th_resolution :premises (axiom5 t33 t34))
+(anchor :step t36 :args ((:= (veriT_vr10 Nat$) veriT_vr13) (:= (veriT_vr11 Nat$) veriT_vr14) (:= (veriT_vr12 Nat$) veriT_vr15)))
+(step t36.t1 (cl (! (= veriT_vr10 veriT_vr13) :named @p_97)) :rule refl)
+(step t36.t2 (cl (! (= veriT_vr11 veriT_vr14) :named @p_101)) :rule refl)
+(step t36.t3 (cl (= @p_82 (! (less_eq$ veriT_vr13 veriT_vr14) :named @p_96))) :rule cong :premises (t36.t1 t36.t2))
+(step t36.t4 (cl (! (= veriT_vr12 veriT_vr15) :named @p_100)) :rule refl)
+(step t36.t5 (cl @p_97) :rule refl)
+(step t36.t6 (cl (= @p_85 (! (less_eq$ veriT_vr15 veriT_vr13) :named @p_98))) :rule cong :premises (t36.t4 t36.t5))
+(step t36.t7 (cl (= @p_87 (! (and @p_96 @p_98) :named @p_99))) :rule cong :premises (t36.t3 t36.t6))
+(step t36.t8 (cl @p_100) :rule refl)
+(step t36.t9 (cl @p_101) :rule refl)
+(step t36.t10 (cl (= @p_91 (! (less_eq$ veriT_vr15 veriT_vr14) :named @p_102))) :rule cong :premises (t36.t8 t36.t9))
+(step t36.t11 (cl (= @p_93 (! (=> @p_99 @p_102) :named @p_103))) :rule cong :premises (t36.t7 t36.t10))
+(step t36 (cl (! (= @p_95 (! (forall ((veriT_vr13 Nat$) (veriT_vr14 Nat$) (veriT_vr15 Nat$)) @p_103) :named @p_105)) :named @p_104)) :rule bind)
+(step t37 (cl (not @p_104) (not @p_95) @p_105) :rule equiv_pos2)
+(step t38 (cl @p_105) :rule th_resolution :premises (t35 t36 t37))
+(anchor :step t39 :args ((:= (?v0 Astate$) veriT_vr16) (:= (?v1 Astate_v_list_v_result_prod$) veriT_vr17)))
+(step t39.t1 (cl (! (= ?v0 veriT_vr16) :named @p_114)) :rule refl)
+(step t39.t2 (cl (! (= ?v1 veriT_vr17) :named @p_113)) :rule refl)
+(step t39.t3 (cl (= @p_107 (! (fst$ veriT_vr17) :named @p_108))) :rule cong :premises (t39.t2))
+(step t39.t4 (cl (= @p_109 (! (= veriT_vr16 @p_108) :named @p_110))) :rule cong :premises (t39.t1 t39.t3))
+(anchor :step t39.t5 :args ((:= (?v2 V_list_v_result$) veriT_vr18)))
+(step t39.t5.t1 (cl @p_113) :rule refl)
+(step t39.t5.t2 (cl @p_114) :rule refl)
+(step t39.t5.t3 (cl (= ?v2 veriT_vr18)) :rule refl)
+(step t39.t5.t4 (cl (= @p_115 (! (pair$ veriT_vr16 veriT_vr18) :named @p_116))) :rule cong :premises (t39.t5.t2 t39.t5.t3))
+(step t39.t5.t5 (cl (= @p_117 (! (= veriT_vr17 @p_116) :named @p_118))) :rule cong :premises (t39.t5.t1 t39.t5.t4))
+(step t39.t5 (cl (= @p_111 (! (exists ((veriT_vr18 V_list_v_result$)) @p_118) :named @p_112))) :rule bind)
+(step t39.t6 (cl (= @p_119 (! (= @p_110 @p_112) :named @p_120))) :rule cong :premises (t39.t4 t39.t5))
+(step t39 (cl (! (= @p_106 (! (forall ((veriT_vr16 Astate$) (veriT_vr17 Astate_v_list_v_result_prod$)) @p_120) :named @p_122)) :named @p_121)) :rule bind)
+(step t40 (cl (not @p_121) (not @p_106) @p_122) :rule equiv_pos2)
+(step t41 (cl @p_122) :rule th_resolution :premises (axiom6 t39 t40))
+(anchor :step t42 :args ((veriT_vr16 Astate$) (veriT_vr17 Astate_v_list_v_result_prod$)))
+(step t42.t1 (cl (= @p_120 (! (and (! (=> @p_110 @p_112) :named @p_133) (! (=> @p_112 @p_110) :named @p_140)) :named @p_123))) :rule connective_def)
+(step t42 (cl (! (= @p_122 (! (forall ((veriT_vr16 Astate$) (veriT_vr17 Astate_v_list_v_result_prod$)) @p_123) :named @p_125)) :named @p_124)) :rule bind)
+(step t43 (cl (not @p_124) (not @p_122) @p_125) :rule equiv_pos2)
+(step t44 (cl @p_125) :rule th_resolution :premises (t41 t42 t43))
+(anchor :step t45 :args ((:= (veriT_vr16 Astate$) veriT_vr19) (:= (veriT_vr17 Astate_v_list_v_result_prod$) veriT_vr20)))
+(step t45.t1 (cl (! (= veriT_vr16 veriT_vr19) :named @p_130)) :rule refl)
+(step t45.t2 (cl (! (= veriT_vr17 veriT_vr20) :named @p_129)) :rule refl)
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+(step t72.t1 (cl (= ?v0 veriT_vr39)) :rule refl)
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+(step t72 (cl (! (= @p_237 (! (forall ((veriT_vr39 V_astate_v_list_v_result_prod_fun$) (veriT_vr40 Abort_astate_v_list_v_result_prod_fun$) (veriT_vr41 Abort$)) @p_247) :named @p_249)) :named @p_248)) :rule bind)
+(step t73 (cl (not @p_248) (not @p_237) @p_249) :rule equiv_pos2)
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+(step t75.t1 (cl (= veriT_vr39 veriT_vr42)) :rule refl)
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+(step t75 (cl (! (= @p_249 (! (forall ((veriT_vr42 V_astate_v_list_v_result_prod_fun$) (veriT_vr43 Abort_astate_v_list_v_result_prod_fun$) (veriT_vr44 Abort$)) @p_255) :named @p_257)) :named @p_256)) :rule bind)
+(step t76 (cl (not @p_256) (not @p_249) @p_257) :rule equiv_pos2)
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+(anchor :step t78 :args ((:= (?v0 Astate$) veriT_vr45) (:= (?v1 Astate$) veriT_vr46) (:= (?v2 V_list_v_result$) veriT_vr47) (:= (?v3 Astate$) veriT_vr48)))
+(step t78.t1 (cl (= ?v0 veriT_vr45)) :rule refl)
+(step t78.t2 (cl (! (= ?v1 veriT_vr46) :named @p_270)) :rule refl)
+(step t78.t3 (cl (! (= ?v2 veriT_vr47) :named @p_262)) :rule refl)
+(step t78.t4 (cl (= @p_259 (! (pair$ veriT_vr46 veriT_vr47) :named @p_260))) :rule cong :premises (t78.t2 t78.t3))
+(step t78.t5 (cl (= @p_4 (! (fix_clock$ veriT_vr45 @p_260) :named @p_261))) :rule cong :premises (t78.t1 t78.t4))
+(step t78.t6 (cl (! (= ?v3 veriT_vr48) :named @p_267)) :rule refl)
+(step t78.t7 (cl @p_262) :rule refl)
+(step t78.t8 (cl (= @p_263 (! (pair$ veriT_vr48 veriT_vr47) :named @p_264))) :rule cong :premises (t78.t6 t78.t7))
+(step t78.t9 (cl (= @p_265 (! (= @p_261 @p_264) :named @p_266))) :rule cong :premises (t78.t5 t78.t8))
+(step t78.t10 (cl @p_267) :rule refl)
+(step t78.t11 (cl (= @p_268 (! (clock$ veriT_vr48) :named @p_269))) :rule cong :premises (t78.t10))
+(step t78.t12 (cl @p_270) :rule refl)
+(step t78.t13 (cl (= @p_1 (! (clock$ veriT_vr46) :named @p_271))) :rule cong :premises (t78.t12))
+(step t78.t14 (cl (= @p_272 (! (less_eq$ @p_269 @p_271) :named @p_273))) :rule cong :premises (t78.t11 t78.t13))
+(step t78.t15 (cl (= @p_274 (! (=> @p_266 @p_273) :named @p_275))) :rule cong :premises (t78.t9 t78.t14))
+(step t78 (cl (! (= @p_258 (! (forall ((veriT_vr45 Astate$) (veriT_vr46 Astate$) (veriT_vr47 V_list_v_result$) (veriT_vr48 Astate$)) @p_275) :named @p_277)) :named @p_276)) :rule bind)
+(step t79 (cl (not @p_276) (not @p_258) @p_277) :rule equiv_pos2)
+(step t80 (cl @p_277) :rule th_resolution :premises (axiom10 t78 t79))
+(anchor :step t81 :args ((:= (veriT_vr45 Astate$) veriT_vr49) (:= (veriT_vr46 Astate$) veriT_vr50) (:= (veriT_vr47 V_list_v_result$) veriT_vr51) (:= (veriT_vr48 Astate$) veriT_vr52)))
+(step t81.t1 (cl (= veriT_vr45 veriT_vr49)) :rule refl)
+(step t81.t2 (cl (! (= veriT_vr46 veriT_vr50) :named @p_285)) :rule refl)
+(step t81.t3 (cl (! (= veriT_vr47 veriT_vr51) :named @p_280)) :rule refl)
+(step t81.t4 (cl (= @p_260 (! (pair$ veriT_vr50 veriT_vr51) :named @p_278))) :rule cong :premises (t81.t2 t81.t3))
+(step t81.t5 (cl (= @p_261 (! (fix_clock$ veriT_vr49 @p_278) :named @p_279))) :rule cong :premises (t81.t1 t81.t4))
+(step t81.t6 (cl (! (= veriT_vr48 veriT_vr52) :named @p_283)) :rule refl)
+(step t81.t7 (cl @p_280) :rule refl)
+(step t81.t8 (cl (= @p_264 (! (pair$ veriT_vr52 veriT_vr51) :named @p_281))) :rule cong :premises (t81.t6 t81.t7))
+(step t81.t9 (cl (= @p_266 (! (= @p_279 @p_281) :named @p_282))) :rule cong :premises (t81.t5 t81.t8))
+(step t81.t10 (cl @p_283) :rule refl)
+(step t81.t11 (cl (= @p_269 (! (clock$ veriT_vr52) :named @p_284))) :rule cong :premises (t81.t10))
+(step t81.t12 (cl @p_285) :rule refl)
+(step t81.t13 (cl (= @p_271 (! (clock$ veriT_vr50) :named @p_286))) :rule cong :premises (t81.t12))
+(step t81.t14 (cl (= @p_273 (! (less_eq$ @p_284 @p_286) :named @p_287))) :rule cong :premises (t81.t11 t81.t13))
+(step t81.t15 (cl (= @p_275 (! (=> @p_282 @p_287) :named @p_288))) :rule cong :premises (t81.t9 t81.t14))
+(step t81 (cl (! (= @p_277 (! (forall ((veriT_vr49 Astate$) (veriT_vr50 Astate$) (veriT_vr51 V_list_v_result$) (veriT_vr52 Astate$)) @p_288) :named @p_290)) :named @p_289)) :rule bind)
+(step t82 (cl (not @p_289) (not @p_277) @p_290) :rule equiv_pos2)
+(step t83 (cl @p_290) :rule th_resolution :premises (t80 t81 t82))
+(anchor :step t84 :args ((:= (?v0 Astate$) veriT_vr53) (:= (?v1 Astate$) veriT_vr54) (:= (?v2 V_list_v_result$) veriT_vr55)))
+(step t84.t1 (cl (! (= ?v0 veriT_vr53) :named @p_294)) :rule refl)
+(step t84.t2 (cl (! (= ?v1 veriT_vr54) :named @p_295)) :rule refl)
+(step t84.t3 (cl (! (= ?v2 veriT_vr55) :named @p_299)) :rule refl)
+(step t84.t4 (cl (= @p_259 (! (pair$ veriT_vr54 veriT_vr55) :named @p_292))) :rule cong :premises (t84.t2 t84.t3))
+(step t84.t5 (cl (= @p_4 (! (fix_clock$ veriT_vr53 @p_292) :named @p_293))) :rule cong :premises (t84.t1 t84.t4))
+(step t84.t6 (cl @p_294) :rule refl)
+(step t84.t7 (cl @p_295) :rule refl)
+(step t84.t8 (cl (= @p_5 (! (uu$ veriT_vr53 veriT_vr54) :named @p_296))) :rule cong :premises (t84.t6 t84.t7))
+(step t84.t9 (cl @p_295) :rule refl)
+(step t84.t10 (cl (= @p_297 (! (update_clock$ @p_296 veriT_vr54) :named @p_298))) :rule cong :premises (t84.t8 t84.t9))
+(step t84.t11 (cl @p_299) :rule refl)
+(step t84.t12 (cl (= @p_300 (! (pair$ @p_298 veriT_vr55) :named @p_301))) :rule cong :premises (t84.t10 t84.t11))
+(step t84.t13 (cl (= @p_302 (! (= @p_293 @p_301) :named @p_303))) :rule cong :premises (t84.t5 t84.t12))
+(step t84 (cl (! (= @p_291 (! (forall ((veriT_vr53 Astate$) (veriT_vr54 Astate$) (veriT_vr55 V_list_v_result$)) @p_303) :named @p_305)) :named @p_304)) :rule bind)
+(step t85 (cl (not @p_304) (not @p_291) @p_305) :rule equiv_pos2)
+(step t86 (cl @p_305) :rule th_resolution :premises (axiom11 t84 t85))
+(anchor :step t87 :args ((:= (veriT_vr53 Astate$) veriT_vr56) (:= (veriT_vr54 Astate$) veriT_vr57) (:= (veriT_vr55 V_list_v_result$) veriT_vr58)))
+(step t87.t1 (cl (! (= veriT_vr53 veriT_vr56) :named @p_308)) :rule refl)
+(step t87.t2 (cl (! (= veriT_vr54 veriT_vr57) :named @p_309)) :rule refl)
+(step t87.t3 (cl (! (= veriT_vr55 veriT_vr58) :named @p_312)) :rule refl)
+(step t87.t4 (cl (= @p_292 (! (pair$ veriT_vr57 veriT_vr58) :named @p_306))) :rule cong :premises (t87.t2 t87.t3))
+(step t87.t5 (cl (= @p_293 (! (fix_clock$ veriT_vr56 @p_306) :named @p_307))) :rule cong :premises (t87.t1 t87.t4))
+(step t87.t6 (cl @p_308) :rule refl)
+(step t87.t7 (cl @p_309) :rule refl)
+(step t87.t8 (cl (= @p_296 (! (uu$ veriT_vr56 veriT_vr57) :named @p_310))) :rule cong :premises (t87.t6 t87.t7))
+(step t87.t9 (cl @p_309) :rule refl)
+(step t87.t10 (cl (= @p_298 (! (update_clock$ @p_310 veriT_vr57) :named @p_311))) :rule cong :premises (t87.t8 t87.t9))
+(step t87.t11 (cl @p_312) :rule refl)
+(step t87.t12 (cl (= @p_301 (! (pair$ @p_311 veriT_vr58) :named @p_313))) :rule cong :premises (t87.t10 t87.t11))
+(step t87.t13 (cl (= @p_303 (! (= @p_307 @p_313) :named @p_314))) :rule cong :premises (t87.t5 t87.t12))
+(step t87 (cl (! (= @p_305 (! (forall ((veriT_vr56 Astate$) (veriT_vr57 Astate$) (veriT_vr58 V_list_v_result$)) @p_314) :named @p_316)) :named @p_315)) :rule bind)
+(step t88 (cl (not @p_315) (not @p_305) @p_316) :rule equiv_pos2)
+(step t89 (cl @p_316) :rule th_resolution :premises (t86 t87 t88))
+(anchor :step t90 :args ((:= (?v0 V_error_result$) veriT_vr59) (:= (?v1 V$) veriT_vr60)))
+(step t90.t1 (cl (! (= ?v0 veriT_vr59) :named @p_323)) :rule refl)
+(step t90.t2 (cl (= @p_319 (! (rerr$ veriT_vr59) :named @p_320))) :rule cong :premises (t90.t1))
+(step t90.t3 (cl (= @p_321 (! (= r$ @p_320) :named @p_322))) :rule cong :premises (t90.t2))
+(step t90.t4 (cl @p_323) :rule refl)
+(step t90.t5 (cl (! (= ?v1 veriT_vr60) :named @p_328)) :rule refl)
+(step t90.t6 (cl (= @p_174 (! (rraise$ veriT_vr60) :named @p_324))) :rule cong :premises (t90.t5))
+(step t90.t7 (cl (= @p_6 (! (= veriT_vr59 @p_324) :named @p_325))) :rule cong :premises (t90.t4 t90.t6))
+(step t90.t8 (cl (= @p_326 (! (and @p_322 @p_325) :named @p_327))) :rule cong :premises (t90.t3 t90.t7))
+(step t90.t9 (cl @p_328) :rule refl)
+(step t90.t10 (cl (= @p_329 (! (fun_evaluate_match$ st$ env$ veriT_vr60 pes$) :named @p_330))) :rule cong :premises (t90.t9))
+(step t90.t11 (cl @p_328) :rule refl)
+(step t90.t12 (cl (= @p_331 (! (fun_app$ @p_330 veriT_vr60) :named @p_332))) :rule cong :premises (t90.t10 t90.t11))
+(step t90.t13 (cl (= @p_333 (! (fst$ @p_332) :named @p_334))) :rule cong :premises (t90.t12))
+(step t90.t14 (cl (= @p_335 (! (clock$ @p_334) :named @p_336))) :rule cong :premises (t90.t13))
+(step t90.t15 (cl (= @p_337 (! (less_eq$ @p_336 @p_318) :named @p_338))) :rule cong :premises (t90.t14))
+(step t90.t16 (cl (= @p_339 (! (=> @p_327 @p_338) :named @p_340))) :rule cong :premises (t90.t8 t90.t15))
+(step t90 (cl (! (= @p_317 (! (forall ((veriT_vr59 V_error_result$) (veriT_vr60 V$)) @p_340) :named @p_342)) :named @p_341)) :rule bind)
+(step t91 (cl (not @p_341) (not @p_317) @p_342) :rule equiv_pos2)
+(step t92 (cl @p_342) :rule th_resolution :premises (axiom12 t90 t91))
+(anchor :step t93 :args ((:= (veriT_vr59 V_error_result$) veriT_vr61) (:= (veriT_vr60 V$) veriT_vr62)))
+(step t93.t1 (cl (! (= veriT_vr59 veriT_vr61) :named @p_345)) :rule refl)
+(step t93.t2 (cl (= @p_320 (! (rerr$ veriT_vr61) :named @p_343))) :rule cong :premises (t93.t1))
+(step t93.t3 (cl (= @p_322 (! (= r$ @p_343) :named @p_344))) :rule cong :premises (t93.t2))
+(step t93.t4 (cl @p_345) :rule refl)
+(step t93.t5 (cl (! (= veriT_vr60 veriT_vr62) :named @p_349)) :rule refl)
+(step t93.t6 (cl (= @p_324 (! (rraise$ veriT_vr62) :named @p_346))) :rule cong :premises (t93.t5))
+(step t93.t7 (cl (= @p_325 (! (= veriT_vr61 @p_346) :named @p_347))) :rule cong :premises (t93.t4 t93.t6))
+(step t93.t8 (cl (= @p_327 (! (and @p_344 @p_347) :named @p_348))) :rule cong :premises (t93.t3 t93.t7))
+(step t93.t9 (cl @p_349) :rule refl)
+(step t93.t10 (cl (= @p_330 (! (fun_evaluate_match$ st$ env$ veriT_vr62 pes$) :named @p_350))) :rule cong :premises (t93.t9))
+(step t93.t11 (cl @p_349) :rule refl)
+(step t93.t12 (cl (= @p_332 (! (fun_app$ @p_350 veriT_vr62) :named @p_351))) :rule cong :premises (t93.t10 t93.t11))
+(step t93.t13 (cl (= @p_334 (! (fst$ @p_351) :named @p_352))) :rule cong :premises (t93.t12))
+(step t93.t14 (cl (= @p_336 (! (clock$ @p_352) :named @p_353))) :rule cong :premises (t93.t13))
+(step t93.t15 (cl (= @p_338 (! (less_eq$ @p_353 @p_318) :named @p_354))) :rule cong :premises (t93.t14))
+(step t93.t16 (cl (= @p_340 (! (=> @p_348 @p_354) :named @p_355))) :rule cong :premises (t93.t8 t93.t15))
+(step t93 (cl (! (= @p_342 (! (forall ((veriT_vr61 V_error_result$) (veriT_vr62 V$)) @p_355) :named @p_357)) :named @p_356)) :rule bind)
+(step t94 (cl (not @p_356) (not @p_342) @p_357) :rule equiv_pos2)
+(step t95 (cl @p_357) :rule th_resolution :premises (t92 t93 t94))
+(step t96 (cl (! (= @p_358 (! (and @p_359 (! (not @p_360) :named @p_366)) :named @p_362)) :named @p_361)) :rule bool_simplify)
+(step t97 (cl (! (not @p_361) :named @p_365) (! (not @p_358) :named @p_363) @p_362) :rule equiv_pos2)
+(step t98 (cl (not @p_363) @p_364) :rule not_not)
+(step t99 (cl @p_365 @p_364 @p_362) :rule th_resolution :premises (t98 t97))
+(step t100 (cl @p_362) :rule th_resolution :premises (axiom13 t96 t99))
+(step t101 (cl @p_359) :rule and :premises (t100))
+(step t102 (cl @p_366) :rule and :premises (t100))
+(step t103 (cl (or (! (not @p_105) :named @p_368) (! (forall ((veriT_vr13 Nat$) (veriT_vr14 Nat$) (veriT_vr15 Nat$)) (or (not @p_96) (not @p_98) @p_102)) :named @p_573))) :rule qnt_cnf)
+(step t104 (cl (or (! (not @p_170) :named @p_431) (! (forall ((veriT_vr23 Astate$) (veriT_vr24 Astate_v_list_v_result_prod$) (veriT_vr26 V_list_v_result$)) (or @p_367 @p_146)) :named @p_629))) :rule qnt_cnf)
+(step t105 (cl (or @p_368 (! (=> (! (and @p_369 (! (less_eq$ @p_370 @p_371) :named @p_373)) :named @p_372) @p_360) :named @p_374))) :rule forall_inst :args ((:= veriT_vr13 @p_371) (:= veriT_vr14 @p_7) (:= veriT_vr15 @p_370)))
+(step t106 (cl @p_372 (! (not @p_369) :named @p_574) (! (not @p_373) :named @p_375)) :rule and_neg)
+(step t107 (cl (! (not @p_374) :named @p_376) (! (not @p_372) :named @p_377) @p_360) :rule implies_pos)
+(step t108 (cl @p_368 @p_374) :rule or :premises (t105))
+(step t109 (cl @p_372 @p_375) :rule resolution :premises (t106 axiom4))
+(step t110 (cl @p_376 @p_377) :rule resolution :premises (t107 t102))
+(step t111 (cl @p_374) :rule resolution :premises (t108 t38))
+(step t112 (cl @p_377) :rule resolution :premises (t110 t111))
+(step t113 (cl @p_375) :rule resolution :premises (t109 t112))
+(step t114 (cl (not (! (not @p_368) :named @p_578)) @p_105) :rule not_not)
+(step t115 (cl (or (! (not @p_316) :named @p_547) (! (= (fix_clock$ st$a (pair$ @p_378 r$)) (pair$ (! (update_clock$ (uu$ st$a @p_378) @p_378) :named @p_561) r$)) :named @p_548))) :rule forall_inst :args ((:= veriT_vr56 st$a) (:= veriT_vr57 @p_378) (:= veriT_vr58 r$)))
+(step t116 (cl (or (! (not @p_215) :named @p_427) (! (not (! (and (! (forall ((veriT_vr31 V$)) (! (not (! (= x2$ @p_204) :named @p_382)) :named @p_384)) :named @p_380) (! (forall ((veriT_vr32 Abort$)) (! (not (! (= x2$ @p_209) :named @p_388)) :named @p_390)) :named @p_386)) :named @p_392)) :named @p_379))) :rule forall_inst :args ((:= veriT_vr30 x2$)))
+(anchor :step t117)
+(assume t117.h1 @p_379)
+(anchor :step t117.t2 :args ((:= (veriT_vr31 V$) veriT_vr63)))
+(step t117.t2.t1 (cl (= veriT_vr31 veriT_vr63)) :rule refl)
+(step t117.t2.t2 (cl (= @p_204 (! (rraise$ veriT_vr63) :named @p_381))) :rule cong :premises (t117.t2.t1))
+(step t117.t2.t3 (cl (= @p_382 (! (= x2$ @p_381) :named @p_383))) :rule cong :premises (t117.t2.t2))
+(step t117.t2.t4 (cl (= @p_384 (! (not @p_383) :named @p_385))) :rule cong :premises (t117.t2.t3))
+(step t117.t2 (cl (= @p_380 (! (forall ((veriT_vr63 V$)) @p_385) :named @p_393))) :rule bind)
+(anchor :step t117.t3 :args ((:= (veriT_vr32 Abort$) veriT_vr64)))
+(step t117.t3.t1 (cl (= veriT_vr32 veriT_vr64)) :rule refl)
+(step t117.t3.t2 (cl (= @p_209 (! (rabort$ veriT_vr64) :named @p_387))) :rule cong :premises (t117.t3.t1))
+(step t117.t3.t3 (cl (= @p_388 (! (= x2$ @p_387) :named @p_389))) :rule cong :premises (t117.t3.t2))
+(step t117.t3.t4 (cl (= @p_390 (! (not @p_389) :named @p_391))) :rule cong :premises (t117.t3.t3))
+(step t117.t3 (cl (= @p_386 (! (forall ((veriT_vr64 Abort$)) @p_391) :named @p_394))) :rule bind)
+(step t117.t4 (cl (= @p_392 (! (and @p_393 @p_394) :named @p_395))) :rule cong :premises (t117.t2 t117.t3))
+(step t117.t5 (cl (! (= @p_379 (! (not @p_395) :named @p_398)) :named @p_396)) :rule cong :premises (t117.t4))
+(step t117.t6 (cl (! (not @p_396) :named @p_399) (! (not @p_379) :named @p_397) @p_398) :rule equiv_pos2)
+(step t117.t7 (cl (! (not @p_397) :named @p_426) @p_392) :rule not_not)
+(step t117.t8 (cl @p_399 @p_392 @p_398) :rule th_resolution :premises (t117.t7 t117.t6))
+(step t117.t9 (cl @p_398) :rule th_resolution :premises (t117.h1 t117.t5 t117.t8))
+(anchor :step t117.t10 :args ((:= (veriT_vr63 V$) veriT_vr65)))
+(step t117.t10.t1 (cl (= veriT_vr63 veriT_vr65)) :rule refl)
+(step t117.t10.t2 (cl (= @p_381 @p_401)) :rule cong :premises (t117.t10.t1))
+(step t117.t10.t3 (cl (= @p_383 @p_402)) :rule cong :premises (t117.t10.t2))
+(step t117.t10.t4 (cl (= @p_385 @p_400)) :rule cong :premises (t117.t10.t3))
+(step t117.t10 (cl (= @p_393 (! (forall ((veriT_vr65 V$)) @p_400) :named @p_406))) :rule bind)
+(anchor :step t117.t11 :args ((:= (veriT_vr64 Abort$) veriT_vr66)))
+(step t117.t11.t1 (cl (= veriT_vr64 veriT_vr66)) :rule refl)
+(step t117.t11.t2 (cl (= @p_387 @p_404)) :rule cong :premises (t117.t11.t1))
+(step t117.t11.t3 (cl (= @p_389 @p_405)) :rule cong :premises (t117.t11.t2))
+(step t117.t11.t4 (cl (= @p_391 @p_403)) :rule cong :premises (t117.t11.t3))
+(step t117.t11 (cl (= @p_394 (! (forall ((veriT_vr66 Abort$)) @p_403) :named @p_407))) :rule bind)
+(step t117.t12 (cl (= @p_395 (! (and @p_406 @p_407) :named @p_408))) :rule cong :premises (t117.t10 t117.t11))
+(step t117.t13 (cl (! (= @p_398 (! (not @p_408) :named @p_410)) :named @p_409)) :rule cong :premises (t117.t12))
+(step t117.t14 (cl (! (not @p_409) :named @p_412) (! (not @p_398) :named @p_411) @p_410) :rule equiv_pos2)
+(step t117.t15 (cl (not @p_411) @p_395) :rule not_not)
+(step t117.t16 (cl @p_412 @p_395 @p_410) :rule th_resolution :premises (t117.t15 t117.t14))
+(step t117.t17 (cl @p_410) :rule th_resolution :premises (t117.t9 t117.t13 t117.t16))
+(anchor :step t117.t18 :args ((:= (veriT_vr65 V$) veriT_sk0)))
+(step t117.t18.t1 (cl (= veriT_vr65 veriT_sk0)) :rule refl)
+(step t117.t18.t2 (cl (= @p_401 (! (rraise$ veriT_sk0) :named @p_415))) :rule cong :premises (t117.t18.t1))
+(step t117.t18.t3 (cl (= @p_402 (! (= x2$ @p_415) :named @p_416))) :rule cong :premises (t117.t18.t2))
+(step t117.t18.t4 (cl (= @p_400 (! (not @p_416) :named @p_413))) :rule cong :premises (t117.t18.t3))
+(step t117.t18 (cl (= @p_406 @p_413)) :rule sko_forall)
+(anchor :step t117.t19 :args ((:= (veriT_vr66 Abort$) veriT_sk1)))
+(step t117.t19.t1 (cl (= veriT_vr66 veriT_sk1)) :rule refl)
+(step t117.t19.t2 (cl (= @p_404 (! (rabort$ veriT_sk1) :named @p_419))) :rule cong :premises (t117.t19.t1))
+(step t117.t19.t3 (cl (= @p_405 (! (= x2$ @p_419) :named @p_420))) :rule cong :premises (t117.t19.t2))
+(step t117.t19.t4 (cl (= @p_403 (! (not @p_420) :named @p_417))) :rule cong :premises (t117.t19.t3))
+(step t117.t19 (cl (= @p_407 @p_417)) :rule sko_forall)
+(step t117.t20 (cl (= @p_408 (! (and @p_413 @p_417) :named @p_421))) :rule cong :premises (t117.t18 t117.t19))
+(step t117.t21 (cl (! (= @p_410 (! (not @p_421) :named @p_422)) :named @p_423)) :rule cong :premises (t117.t20))
+(step t117.t22 (cl (! (not @p_423) :named @p_425) (! (not @p_410) :named @p_424) @p_422) :rule equiv_pos2)
+(step t117.t23 (cl (not @p_424) @p_408) :rule not_not)
+(step t117.t24 (cl @p_425 @p_408 @p_422) :rule th_resolution :premises (t117.t23 t117.t22))
+(step t117.t25 (cl @p_422) :rule th_resolution :premises (t117.t17 t117.t21 t117.t24))
+(step t117 (cl @p_397 @p_422) :rule subproof :discharge (h1))
+(step t118 (cl @p_426 @p_392) :rule not_not)
+(step t119 (cl @p_392 @p_422) :rule th_resolution :premises (t118 t117))
+(step t120 (cl @p_427 @p_379) :rule or :premises (t116))
+(step t121 (cl (! (or @p_427 @p_422) :named @p_429) (! (not @p_427) :named @p_428)) :rule or_neg)
+(step t122 (cl (not @p_428) @p_215) :rule not_not)
+(step t123 (cl @p_429 @p_215) :rule th_resolution :premises (t122 t121))
+(step t124 (cl @p_429 (! (not @p_422) :named @p_430)) :rule or_neg)
+(step t125 (cl (not @p_430) @p_421) :rule not_not)
+(step t126 (cl @p_429 @p_421) :rule th_resolution :premises (t125 t124))
+(step t127 (cl @p_429) :rule th_resolution :premises (t120 t119 t123 t126))
+(step t128 (cl (not (! (not @p_431) :named @p_468)) @p_170) :rule not_not)
+(step t129 (cl (or @p_431 (! (and (! (=> (! (= @p_378 @p_378) :named @p_432) (! (exists ((veriT_vr25 V_list_v_result$)) (! (= @p_3 (! (pair$ @p_378 veriT_vr25) :named @p_435)) :named @p_437)) :named @p_434)) :named @p_439) (! (=> (! (not (! (forall ((veriT_vr26 V_list_v_result$)) (! (not (! (= @p_3 (! (pair$ @p_378 veriT_vr26) :named @p_442)) :named @p_443)) :named @p_444)) :named @p_441)) :named @p_446) @p_432) :named @p_448)) :named @p_433))) :rule forall_inst :args ((:= veriT_vr23 @p_378) (:= veriT_vr24 @p_3)))
 (anchor :step t130)
-(assume t130.h1 @p_440)
-(anchor :step t130.t2 :args ((:= (veriT_vr25 V_list_v_result$) veriT_vr106)))
-(step t130.t2.t1 (cl (= veriT_vr25 veriT_vr106)) :rule refl)
-(step t130.t2.t2 (cl (= @p_442 (! (pair$ st$ veriT_vr106) :named @p_443))) :rule cong :premises (t130.t2.t1))
-(step t130.t2.t3 (cl (= @p_444 (! (= @p_438 @p_443) :named @p_445))) :rule cong :premises (t130.t2.t2))
-(step t130.t2 (cl (= @p_441 (! (exists ((veriT_vr106 V_list_v_result$)) @p_445) :named @p_447))) :rule bind)
-(step t130.t3 (cl (= @p_446 (! (=> @p_439 @p_447) :named @p_457))) :rule cong :premises (t130.t2))
-(anchor :step t130.t4 :args ((:= (veriT_vr26 V_list_v_result$) veriT_vr106)))
-(step t130.t4.t1 (cl (= veriT_vr26 veriT_vr106)) :rule refl)
-(step t130.t4.t2 (cl (= @p_449 @p_443)) :rule cong :premises (t130.t4.t1))
-(step t130.t4.t3 (cl (= @p_450 @p_445)) :rule cong :premises (t130.t4.t2))
-(step t130.t4.t4 (cl (= @p_451 (! (not @p_445) :named @p_452))) :rule cong :premises (t130.t4.t3))
-(step t130.t4 (cl (= @p_448 (! (forall ((veriT_vr106 V_list_v_result$)) @p_452) :named @p_454))) :rule bind)
-(step t130.t5 (cl (= @p_453 (! (not @p_454) :named @p_456))) :rule cong :premises (t130.t4))
-(step t130.t6 (cl (= @p_455 (! (=> @p_456 @p_439) :named @p_458))) :rule cong :premises (t130.t5))
-(step t130.t7 (cl (! (= @p_440 (! (and @p_457 @p_458) :named @p_461)) :named @p_459)) :rule cong :premises (t130.t3 t130.t6))
-(step t130.t8 (cl (not @p_459) (! (not @p_440) :named @p_460) @p_461) :rule equiv_pos2)
-(step t130.t9 (cl @p_461) :rule th_resolution :premises (t130.h1 t130.t7 t130.t8))
-(anchor :step t130.t10 :args ((:= (veriT_vr106 V_list_v_result$) veriT_vr107)))
-(step t130.t10.t1 (cl (= veriT_vr106 veriT_vr107)) :rule refl)
-(step t130.t10.t2 (cl (= @p_443 (! (pair$ st$ veriT_vr107) :named @p_462))) :rule cong :premises (t130.t10.t1))
-(step t130.t10.t3 (cl (= @p_445 (! (= @p_438 @p_462) :named @p_463))) :rule cong :premises (t130.t10.t2))
-(step t130.t10.t4 (cl (= @p_452 (! (not @p_463) :named @p_464))) :rule cong :premises (t130.t10.t3))
-(step t130.t10 (cl (= @p_454 (! (forall ((veriT_vr107 V_list_v_result$)) @p_464) :named @p_465))) :rule bind)
-(step t130.t11 (cl (= @p_456 (! (not @p_465) :named @p_466))) :rule cong :premises (t130.t10))
-(step t130.t12 (cl (= @p_458 (! (=> @p_466 @p_439) :named @p_467))) :rule cong :premises (t130.t11))
-(step t130.t13 (cl (! (= @p_461 (! (and @p_457 @p_467) :named @p_469)) :named @p_468)) :rule cong :premises (t130.t12))
-(step t130.t14 (cl (not @p_468) (not @p_461) @p_469) :rule equiv_pos2)
-(step t130.t15 (cl @p_469) :rule th_resolution :premises (t130.t9 t130.t13 t130.t14))
-(anchor :step t130.t16 :args ((:= (veriT_vr106 V_list_v_result$) veriT_vr108)))
-(step t130.t16.t1 (cl (= veriT_vr106 veriT_vr108)) :rule refl)
-(step t130.t16.t2 (cl (= @p_443 @p_471)) :rule cong :premises (t130.t16.t1))
-(step t130.t16.t3 (cl (= @p_445 @p_470)) :rule cong :premises (t130.t16.t2))
-(step t130.t16 (cl (= @p_447 (! (exists ((veriT_vr108 V_list_v_result$)) @p_470) :named @p_472))) :rule bind)
-(step t130.t17 (cl (= @p_457 (! (=> @p_439 @p_472) :named @p_478))) :rule cong :premises (t130.t16))
-(anchor :step t130.t18 :args ((:= (veriT_vr107 V_list_v_result$) veriT_vr109)))
-(step t130.t18.t1 (cl (= veriT_vr107 veriT_vr109)) :rule refl)
-(step t130.t18.t2 (cl (= @p_462 (! (pair$ st$ veriT_vr109) :named @p_473))) :rule cong :premises (t130.t18.t1))
-(step t130.t18.t3 (cl (= @p_463 (! (= @p_438 @p_473) :named @p_474))) :rule cong :premises (t130.t18.t2))
-(step t130.t18.t4 (cl (= @p_464 (! (not @p_474) :named @p_475))) :rule cong :premises (t130.t18.t3))
-(step t130.t18 (cl (= @p_465 (! (forall ((veriT_vr109 V_list_v_result$)) @p_475) :named @p_476))) :rule bind)
-(step t130.t19 (cl (= @p_466 (! (not @p_476) :named @p_477))) :rule cong :premises (t130.t18))
-(step t130.t20 (cl (= @p_467 (! (=> @p_477 @p_439) :named @p_479))) :rule cong :premises (t130.t19))
-(step t130.t21 (cl (! (= @p_469 (! (and @p_478 @p_479) :named @p_481)) :named @p_480)) :rule cong :premises (t130.t17 t130.t20))
-(step t130.t22 (cl (not @p_480) (not @p_469) @p_481) :rule equiv_pos2)
-(step t130.t23 (cl @p_481) :rule th_resolution :premises (t130.t15 t130.t21 t130.t22))
-(anchor :step t130.t24 :args ((:= (veriT_vr108 V_list_v_result$) veriT_sk11)))
-(step t130.t24.t1 (cl (= veriT_vr108 veriT_sk11)) :rule refl)
-(step t130.t24.t2 (cl (= @p_471 (! (pair$ st$ veriT_sk11) :named @p_484))) :rule cong :premises (t130.t24.t1))
-(step t130.t24.t3 (cl (= @p_470 (! (= @p_438 @p_484) :named @p_482))) :rule cong :premises (t130.t24.t2))
-(step t130.t24 (cl (= @p_472 @p_482)) :rule sko_ex)
-(step t130.t25 (cl (= @p_478 (! (=> @p_439 @p_482) :named @p_485))) :rule cong :premises (t130.t24))
-(step t130.t26 (cl (! (= @p_481 (! (and @p_485 @p_479) :named @p_487)) :named @p_486)) :rule cong :premises (t130.t25))
-(step t130.t27 (cl (not @p_486) (not @p_481) @p_487) :rule equiv_pos2)
-(step t130.t28 (cl @p_487) :rule th_resolution :premises (t130.t23 t130.t26 t130.t27))
-(anchor :step t130.t29 :args ((:= (veriT_vr109 V_list_v_result$) veriT_vr110)))
-(step t130.t29.t1 (cl (= veriT_vr109 veriT_vr110)) :rule refl)
-(step t130.t29.t2 (cl (= @p_473 (! (pair$ st$ veriT_vr110) :named @p_489))) :rule cong :premises (t130.t29.t1))
-(step t130.t29.t3 (cl (= @p_474 (! (= @p_438 @p_489) :named @p_490))) :rule cong :premises (t130.t29.t2))
-(step t130.t29.t4 (cl (= @p_475 (! (not @p_490) :named @p_491))) :rule cong :premises (t130.t29.t3))
-(step t130.t29 (cl (= @p_476 (! (forall ((veriT_vr110 V_list_v_result$)) @p_491) :named @p_488))) :rule bind)
-(step t130.t30 (cl (= @p_477 (! (not @p_488) :named @p_492))) :rule cong :premises (t130.t29))
-(step t130.t31 (cl (= @p_479 (! (=> @p_492 @p_439) :named @p_493))) :rule cong :premises (t130.t30))
-(step t130.t32 (cl (! (= @p_487 (! (and @p_485 @p_493) :named @p_494)) :named @p_495)) :rule cong :premises (t130.t31))
-(step t130.t33 (cl (not @p_495) (not @p_487) @p_494) :rule equiv_pos2)
-(step t130.t34 (cl @p_494) :rule th_resolution :premises (t130.t28 t130.t32 t130.t33))
-(step t130 (cl @p_460 @p_494) :rule subproof :discharge (h1))
-(step t131 (cl @p_399 @p_440) :rule or :premises (t129))
-(step t132 (cl (! (or @p_399 @p_494) :named @p_496) @p_436) :rule or_neg)
-(step t133 (cl @p_496 @p_136) :rule th_resolution :premises (t121 t132))
-(step t134 (cl @p_496 (! (not @p_494) :named @p_503)) :rule or_neg)
-(step t135 (cl @p_496) :rule th_resolution :premises (t131 t130 t133 t134))
-(step t136 (cl @p_497 @p_498) :rule or :premises (t108))
-(step t137 (cl @p_498) :rule resolution :premises (t136 t82))
-(step t138 (cl @p_389 (! (not @p_381) :named @p_499) (! (not @p_385) :named @p_500)) :rule and_neg)
-(step t139 (cl (not @p_499) @p_384) :rule not_not)
-(step t140 (cl @p_389 @p_384 @p_500) :rule th_resolution :premises (t139 t138))
-(step t141 (cl (not @p_500) @p_388) :rule not_not)
-(step t142 (cl @p_389 @p_384 @p_388) :rule th_resolution :premises (t141 t140))
-(step t143 (cl @p_395 @p_390) :rule or :premises (t120))
-(step t144 (cl @p_390) :rule resolution :premises (t143 t58))
-(step t145 (cl @p_399 @p_432) :rule or :premises (t128))
-(step t146 (cl @p_432) :rule resolution :premises (t145 t49))
-(step t147 (cl (! (not @p_493) :named @p_502) (! (not @p_492) :named @p_501) @p_439) :rule implies_pos)
-(step t148 (cl (not @p_501) @p_488) :rule not_not)
-(step t149 (cl @p_502 @p_488 @p_439) :rule th_resolution :premises (t148 t147))
-(step t150 (cl @p_503 @p_493) :rule and_pos)
-(step t151 (cl @p_399 @p_494) :rule or :premises (t135))
-(step t152 (cl @p_494) :rule resolution :premises (t151 t49))
-(step t153 (cl @p_493) :rule resolution :premises (t150 t152))
-(step t154 (cl (or (! (not @p_325) :named @p_508) (! (=> (! (and @p_327 @p_384) :named @p_505) (! (less_eq$ (! (clock$ (! (fst$ (! (fun_app$ (fun_evaluate_match$ st$ env$ veriT_sk0 pes$) veriT_sk0) :named @p_526)) :named @p_566)) :named @p_567) @p_286) :named @p_507)) :named @p_506))) :rule forall_inst :args ((:= veriT_vr61 x2$) (:= veriT_vr62 veriT_sk0)))
-(step t155 (cl (or @p_497 (! (= (! (fix_clock$ st$a @p_434) :named @p_539) (! (pair$ @p_504 veriT_sk3) :named @p_652)) :named @p_509))) :rule forall_inst :args ((:= veriT_vr56 st$a) (:= veriT_vr57 @p_346) (:= veriT_vr58 veriT_sk3)))
-(step t156 (cl (or (! (not @p_257) :named @p_512) (! (=> @p_498 (! (less_eq$ (! (clock$ @p_504) :named @p_518) @p_339) :named @p_511)) :named @p_510))) :rule forall_inst :args ((:= veriT_vr49 st$a) (:= veriT_vr50 @p_346) (:= veriT_vr51 r$) (:= veriT_vr52 @p_504)))
-(step t157 (cl (or (! (not @p_202) :named @p_514) (! (= (! (case_error_result$ uua$ uub$ @p_383) :named @p_569) (! (fun_app$ uua$ veriT_sk0) :named @p_527)) :named @p_515))) :rule forall_inst :args ((:= veriT_vr36 uua$) (:= veriT_vr37 uub$) (:= veriT_vr38 veriT_sk0)))
-(step t158 (cl @p_505 (! (not @p_327) :named @p_561) @p_381) :rule and_neg)
-(step t159 (cl (not @p_506) (not @p_505) @p_507) :rule implies_pos)
-(step t160 (cl @p_508 @p_506) :rule or :premises (t154))
-(step t161 (cl @p_505 @p_381) :rule resolution :premises (t158 t94))
-(step t162 (cl @p_506) :rule resolution :premises (t160 t88))
-(step t163 (cl @p_497 @p_509) :rule or :premises (t155))
-(step t164 (cl @p_509) :rule resolution :premises (t163 t82))
-(step t165 (cl (! (not @p_510) :named @p_513) (not @p_498) @p_511) :rule implies_pos)
-(step t166 (cl @p_512 @p_510) :rule or :premises (t156))
-(step t167 (cl @p_513 @p_511) :rule resolution :premises (t165 t137))
-(step t168 (cl @p_510) :rule resolution :premises (t166 t76))
-(step t169 (cl @p_511) :rule resolution :premises (t167 t168))
-(step t170 (cl @p_514 @p_515) :rule or :premises (t157))
-(step t171 (cl @p_515) :rule resolution :premises (t170 t64))
-(step t172 (cl @p_336 @p_516) :rule or :premises (t96))
-(step t173 (cl (or (! (not @p_516) :named @p_519) (! (or @p_517 (! (not @p_511) :named @p_524) (! (less_eq$ @p_518 @p_4) :named @p_525)) :named @p_520))) :rule forall_inst :args ((:= veriT_vr13 @p_339) (:= veriT_vr14 @p_4) (:= veriT_vr15 @p_518)))
-(step t174 (cl @p_519 @p_520) :rule or :premises (t173))
-(step t175 (cl (! (or @p_336 @p_520) :named @p_522) @p_521) :rule or_neg)
-(step t176 (cl @p_522 @p_71) :rule th_resolution :premises (t107 t175))
-(step t177 (cl @p_522 (! (not @p_520) :named @p_523)) :rule or_neg)
-(step t178 (cl @p_522) :rule th_resolution :premises (t172 t174 t176 t177))
-(step t179 (cl @p_523 @p_517 @p_524 @p_525) :rule or_pos)
-(step t180 (cl @p_336 @p_520) :rule or :premises (t178))
-(step t181 (cl @p_523 @p_525) :rule resolution :premises (t179 a4 t169))
-(step t182 (cl @p_520) :rule resolution :premises (t180 t31))
-(step t183 (cl @p_525) :rule resolution :premises (t181 t182))
-(step t184 (cl (or (! (not @p_223) :named @p_528) (! (= (! (case_error_result$ uua$ uub$ @p_387) :named @p_548) (! (fun_app$a uub$ veriT_sk1) :named @p_542)) :named @p_529))) :rule forall_inst :args ((:= veriT_vr42 uua$) (:= veriT_vr43 uub$) (:= veriT_vr44 veriT_sk1)))
-(step t185 (cl (or @p_336 (! (=> (! (and @p_525 (! (less_eq$ @p_338 @p_518) :named @p_531)) :named @p_530) @p_328) :named @p_532))) :rule forall_inst :args ((:= veriT_vr13 @p_518) (:= veriT_vr14 @p_4) (:= veriT_vr15 @p_338)))
-(step t186 (cl (or (! (not @p_23) :named @p_536) (! (= @p_526 @p_527) :named @p_537))) :rule forall_inst :args ((:= veriT_vr1 veriT_sk0)))
-(step t187 (cl @p_528 @p_529) :rule or :premises (t184))
-(step t188 (cl @p_529) :rule resolution :premises (t187 t70))
-(step t189 (cl @p_530 (not @p_525) (! (not @p_531) :named @p_533)) :rule and_neg)
-(step t190 (cl (! (not @p_532) :named @p_534) (! (not @p_530) :named @p_535) @p_328) :rule implies_pos)
-(step t191 (cl @p_336 @p_532) :rule or :premises (t185))
-(step t192 (cl @p_530 @p_533) :rule resolution :premises (t189 t183))
-(step t193 (cl @p_534 @p_535) :rule resolution :premises (t190 t95))
-(step t194 (cl @p_532) :rule resolution :premises (t191 t31))
-(step t195 (cl @p_535) :rule resolution :premises (t193 t194))
-(step t196 (cl @p_533) :rule resolution :premises (t192 t195))
-(step t197 (cl @p_536 @p_537) :rule or :premises (t186))
-(step t198 (cl @p_537) :rule resolution :premises (t197 t19))
-(step t199 (cl (not (! (= st$a st$a) :named @p_540)) @p_538 (! (= @p_438 @p_539) :named @p_541)) :rule eq_congruent)
-(step t200 (cl @p_540) :rule eq_reflexive)
-(step t201 (cl @p_538 @p_541) :rule th_resolution :premises (t199 t200))
-(step t202 (cl (or (! (not @p_45) :named @p_543) (! (= @p_542 (! (pair$ st$ (! (rerr$ @p_387) :named @p_557)) :named @p_546)) :named @p_544))) :rule forall_inst :args ((:= veriT_vr3 veriT_sk1)))
-(step t203 (cl @p_543 @p_544) :rule or :premises (t202))
-(step t204 (cl @p_544) :rule resolution :premises (t203 t25))
-(step t205 (cl (! (not (! (= @p_545 @p_546) :named @p_558)) :named @p_553) (! (not @p_544) :named @p_554) (! (not @p_529) :named @p_555) (not (! (= @p_547 @p_548) :named @p_549)) (! (= @p_545 @p_547) :named @p_556)) :rule eq_transitive)
-(step t206 (cl (! (not (! (= uua$ uua$) :named @p_550)) :named @p_571) (! (not (! (= uub$ uub$) :named @p_552)) :named @p_551) @p_385 @p_549) :rule eq_congruent)
-(step t207 (cl @p_550) :rule eq_reflexive)
-(step t208 (cl @p_551 @p_385 @p_549) :rule th_resolution :premises (t206 t207))
-(step t209 (cl @p_552) :rule eq_reflexive)
-(step t210 (cl @p_385 @p_549) :rule th_resolution :premises (t208 t209))
-(step t211 (cl @p_553 @p_554 @p_555 @p_556 @p_385) :rule th_resolution :premises (t205 t210))
-(step t212 (cl (not (! (= st$ st$) :named @p_559)) (! (not (! (= r$ @p_557) :named @p_563)) :named @p_560) @p_558) :rule eq_congruent)
-(step t213 (cl @p_559) :rule eq_reflexive)
-(step t214 (cl @p_560 @p_558) :rule th_resolution :premises (t212 t213))
-(step t215 (cl @p_561 (not (! (= @p_562 @p_557) :named @p_564)) @p_563) :rule eq_transitive)
-(step t216 (cl @p_385 @p_564) :rule eq_congruent)
-(step t217 (cl @p_561 @p_563 @p_385) :rule th_resolution :premises (t215 t216))
-(step t218 (cl @p_558 @p_561 @p_385) :rule th_resolution :premises (t214 t217))
-(step t219 (cl @p_554 @p_555 @p_556 @p_385 @p_561 @p_385) :rule th_resolution :premises (t211 t218))
-(step t220 (cl @p_554 @p_555 @p_556 @p_385 @p_561) :rule contraction :premises (t219))
-(step t221 (cl @p_556 @p_385) :rule resolution :premises (t220 t94 t188 t204))
-(step t222 (cl (not (! (= @p_565 @p_566) :named @p_568)) (! (= @p_338 @p_567) :named @p_575)) :rule eq_congruent)
-(step t223 (cl (not (! (= @p_547 @p_526) :named @p_570)) @p_568) :rule eq_congruent)
-(step t224 (cl (not (! (= @p_547 @p_569) :named @p_572)) (! (not @p_515) :named @p_573) (! (not @p_537) :named @p_574) @p_570) :rule eq_transitive)
-(step t225 (cl @p_571 @p_551 @p_381 @p_572) :rule eq_congruent)
-(step t226 (cl @p_551 @p_381 @p_572) :rule th_resolution :premises (t225 t207))
-(step t227 (cl @p_381 @p_572) :rule th_resolution :premises (t226 t209))
-(step t228 (cl @p_573 @p_574 @p_570 @p_381) :rule th_resolution :premises (t224 t227))
-(step t229 (cl @p_568 @p_573 @p_574 @p_381) :rule th_resolution :premises (t223 t228))
-(step t230 (cl @p_575 @p_573 @p_574 @p_381) :rule th_resolution :premises (t222 t229))
-(step t231 (cl (or @p_492 (! (not @p_576) :named @p_578))) :rule forall_inst :args ((:= veriT_vr110 r$)))
-(step t232 (cl @p_399 @p_577) :rule or :premises (t97))
-(step t233 (cl @p_492 @p_578) :rule or :premises (t231))
-(step t234 (cl @p_492) :rule resolution :premises (t233 a3))
-(step t235 (cl @p_439) :rule resolution :premises (t149 t234 t153))
-(step t236 (cl (or @p_497 (! (= (! (pair$ @p_504 @p_557) :named @p_647) (! (fix_clock$ st$a (pair$ @p_346 @p_557)) :named @p_580)) :named @p_579))) :rule forall_inst :args ((:= veriT_vr56 st$a) (:= veriT_vr57 @p_346) (:= veriT_vr58 @p_557)))
-(step t237 (cl @p_497 @p_579) :rule or :premises (t236))
-(step t238 (cl @p_579) :rule resolution :premises (t237 t82))
-(step t239 (cl (or @p_512 (! (=> (! (= (! (pair$ @p_565 @p_557) :named @p_646) @p_580) :named @p_582) @p_341) :named @p_581))) :rule forall_inst :args ((:= veriT_vr49 st$a) (:= veriT_vr50 @p_346) (:= veriT_vr51 @p_557) (:= veriT_vr52 @p_565)))
-(step t240 (cl (! (not @p_581) :named @p_583) (! (not @p_582) :named @p_584) @p_341) :rule implies_pos)
-(step t241 (cl @p_512 @p_581) :rule or :premises (t239))
-(step t242 (cl @p_583 @p_584) :rule resolution :premises (t240 t106))
-(step t243 (cl @p_581) :rule resolution :premises (t241 t76))
-(step t244 (cl @p_584) :rule resolution :premises (t242 t243))
-(step t245 (cl (or @p_399 (! (and (! (=> (! (= @p_565 @p_504) :named @p_585) (! (exists ((veriT_vr25 V_list_v_result$)) (! (= @p_547 (! (pair$ @p_504 veriT_vr25) :named @p_588)) :named @p_590)) :named @p_587)) :named @p_592) (! (=> (! (not (! (forall ((veriT_vr26 V_list_v_result$)) (! (not (! (= @p_547 (! (pair$ @p_504 veriT_vr26) :named @p_595)) :named @p_596)) :named @p_597)) :named @p_594)) :named @p_599) @p_585) :named @p_601)) :named @p_586))) :rule forall_inst :args ((:= veriT_vr23 @p_504) (:= veriT_vr24 @p_547)))
-(anchor :step t246)
-(assume t246.h1 @p_586)
-(anchor :step t246.t2 :args ((:= (veriT_vr25 V_list_v_result$) veriT_vr3120)))
-(step t246.t2.t1 (cl (= veriT_vr25 veriT_vr3120)) :rule refl)
-(step t246.t2.t2 (cl (= @p_588 (! (pair$ @p_504 veriT_vr3120) :named @p_589))) :rule cong :premises (t246.t2.t1))
-(step t246.t2.t3 (cl (= @p_590 (! (= @p_547 @p_589) :named @p_591))) :rule cong :premises (t246.t2.t2))
-(step t246.t2 (cl (= @p_587 (! (exists ((veriT_vr3120 V_list_v_result$)) @p_591) :named @p_593))) :rule bind)
-(step t246.t3 (cl (= @p_592 (! (=> @p_585 @p_593) :named @p_603))) :rule cong :premises (t246.t2))
-(anchor :step t246.t4 :args ((:= (veriT_vr26 V_list_v_result$) veriT_vr3120)))
-(step t246.t4.t1 (cl (= veriT_vr26 veriT_vr3120)) :rule refl)
-(step t246.t4.t2 (cl (= @p_595 @p_589)) :rule cong :premises (t246.t4.t1))
-(step t246.t4.t3 (cl (= @p_596 @p_591)) :rule cong :premises (t246.t4.t2))
-(step t246.t4.t4 (cl (= @p_597 (! (not @p_591) :named @p_598))) :rule cong :premises (t246.t4.t3))
-(step t246.t4 (cl (= @p_594 (! (forall ((veriT_vr3120 V_list_v_result$)) @p_598) :named @p_600))) :rule bind)
-(step t246.t5 (cl (= @p_599 (! (not @p_600) :named @p_602))) :rule cong :premises (t246.t4))
-(step t246.t6 (cl (= @p_601 (! (=> @p_602 @p_585) :named @p_604))) :rule cong :premises (t246.t5))
-(step t246.t7 (cl (! (= @p_586 (! (and @p_603 @p_604) :named @p_607)) :named @p_605)) :rule cong :premises (t246.t3 t246.t6))
-(step t246.t8 (cl (not @p_605) (! (not @p_586) :named @p_606) @p_607) :rule equiv_pos2)
-(step t246.t9 (cl @p_607) :rule th_resolution :premises (t246.h1 t246.t7 t246.t8))
-(anchor :step t246.t10 :args ((:= (veriT_vr3120 V_list_v_result$) veriT_vr3121)))
-(step t246.t10.t1 (cl (= veriT_vr3120 veriT_vr3121)) :rule refl)
-(step t246.t10.t2 (cl (= @p_589 (! (pair$ @p_504 veriT_vr3121) :named @p_608))) :rule cong :premises (t246.t10.t1))
-(step t246.t10.t3 (cl (= @p_591 (! (= @p_547 @p_608) :named @p_609))) :rule cong :premises (t246.t10.t2))
-(step t246.t10.t4 (cl (= @p_598 (! (not @p_609) :named @p_610))) :rule cong :premises (t246.t10.t3))
-(step t246.t10 (cl (= @p_600 (! (forall ((veriT_vr3121 V_list_v_result$)) @p_610) :named @p_611))) :rule bind)
-(step t246.t11 (cl (= @p_602 (! (not @p_611) :named @p_612))) :rule cong :premises (t246.t10))
-(step t246.t12 (cl (= @p_604 (! (=> @p_612 @p_585) :named @p_613))) :rule cong :premises (t246.t11))
-(step t246.t13 (cl (! (= @p_607 (! (and @p_603 @p_613) :named @p_615)) :named @p_614)) :rule cong :premises (t246.t12))
-(step t246.t14 (cl (not @p_614) (not @p_607) @p_615) :rule equiv_pos2)
-(step t246.t15 (cl @p_615) :rule th_resolution :premises (t246.t9 t246.t13 t246.t14))
-(anchor :step t246.t16 :args ((:= (veriT_vr3120 V_list_v_result$) veriT_vr3122)))
-(step t246.t16.t1 (cl (= veriT_vr3120 veriT_vr3122)) :rule refl)
-(step t246.t16.t2 (cl (= @p_589 @p_617)) :rule cong :premises (t246.t16.t1))
-(step t246.t16.t3 (cl (= @p_591 @p_616)) :rule cong :premises (t246.t16.t2))
-(step t246.t16 (cl (= @p_593 (! (exists ((veriT_vr3122 V_list_v_result$)) @p_616) :named @p_618))) :rule bind)
-(step t246.t17 (cl (= @p_603 (! (=> @p_585 @p_618) :named @p_624))) :rule cong :premises (t246.t16))
-(anchor :step t246.t18 :args ((:= (veriT_vr3121 V_list_v_result$) veriT_vr3123)))
-(step t246.t18.t1 (cl (= veriT_vr3121 veriT_vr3123)) :rule refl)
-(step t246.t18.t2 (cl (= @p_608 (! (pair$ @p_504 veriT_vr3123) :named @p_619))) :rule cong :premises (t246.t18.t1))
-(step t246.t18.t3 (cl (= @p_609 (! (= @p_547 @p_619) :named @p_620))) :rule cong :premises (t246.t18.t2))
-(step t246.t18.t4 (cl (= @p_610 (! (not @p_620) :named @p_621))) :rule cong :premises (t246.t18.t3))
-(step t246.t18 (cl (= @p_611 (! (forall ((veriT_vr3123 V_list_v_result$)) @p_621) :named @p_622))) :rule bind)
-(step t246.t19 (cl (= @p_612 (! (not @p_622) :named @p_623))) :rule cong :premises (t246.t18))
-(step t246.t20 (cl (= @p_613 (! (=> @p_623 @p_585) :named @p_625))) :rule cong :premises (t246.t19))
-(step t246.t21 (cl (! (= @p_615 (! (and @p_624 @p_625) :named @p_627)) :named @p_626)) :rule cong :premises (t246.t17 t246.t20))
-(step t246.t22 (cl (not @p_626) (not @p_615) @p_627) :rule equiv_pos2)
-(step t246.t23 (cl @p_627) :rule th_resolution :premises (t246.t15 t246.t21 t246.t22))
-(anchor :step t246.t24 :args ((:= (veriT_vr3122 V_list_v_result$) veriT_sk615)))
-(step t246.t24.t1 (cl (= veriT_vr3122 veriT_sk615)) :rule refl)
-(step t246.t24.t2 (cl (= @p_617 (! (pair$ @p_504 veriT_sk615) :named @p_630))) :rule cong :premises (t246.t24.t1))
-(step t246.t24.t3 (cl (= @p_616 (! (= @p_547 @p_630) :named @p_628))) :rule cong :premises (t246.t24.t2))
-(step t246.t24 (cl (= @p_618 @p_628)) :rule sko_ex)
-(step t246.t25 (cl (= @p_624 (! (=> @p_585 @p_628) :named @p_631))) :rule cong :premises (t246.t24))
-(step t246.t26 (cl (! (= @p_627 (! (and @p_631 @p_625) :named @p_633)) :named @p_632)) :rule cong :premises (t246.t25))
-(step t246.t27 (cl (not @p_632) (not @p_627) @p_633) :rule equiv_pos2)
-(step t246.t28 (cl @p_633) :rule th_resolution :premises (t246.t23 t246.t26 t246.t27))
-(anchor :step t246.t29 :args ((:= (veriT_vr3123 V_list_v_result$) veriT_vr3124)))
-(step t246.t29.t1 (cl (= veriT_vr3123 veriT_vr3124)) :rule refl)
-(step t246.t29.t2 (cl (= @p_619 (! (pair$ @p_504 veriT_vr3124) :named @p_635))) :rule cong :premises (t246.t29.t1))
-(step t246.t29.t3 (cl (= @p_620 (! (= @p_547 @p_635) :named @p_636))) :rule cong :premises (t246.t29.t2))
-(step t246.t29.t4 (cl (= @p_621 (! (not @p_636) :named @p_637))) :rule cong :premises (t246.t29.t3))
-(step t246.t29 (cl (= @p_622 (! (forall ((veriT_vr3124 V_list_v_result$)) @p_637) :named @p_634))) :rule bind)
-(step t246.t30 (cl (= @p_623 (! (not @p_634) :named @p_638))) :rule cong :premises (t246.t29))
-(step t246.t31 (cl (= @p_625 (! (=> @p_638 @p_585) :named @p_639))) :rule cong :premises (t246.t30))
-(step t246.t32 (cl (! (= @p_633 (! (and @p_631 @p_639) :named @p_640)) :named @p_641)) :rule cong :premises (t246.t31))
-(step t246.t33 (cl (not @p_641) (not @p_633) @p_640) :rule equiv_pos2)
-(step t246.t34 (cl @p_640) :rule th_resolution :premises (t246.t28 t246.t32 t246.t33))
-(step t246 (cl @p_606 @p_640) :rule subproof :discharge (h1))
-(step t247 (cl @p_399 @p_586) :rule or :premises (t245))
-(step t248 (cl (! (or @p_399 @p_640) :named @p_642) @p_436) :rule or_neg)
-(step t249 (cl @p_642 @p_136) :rule th_resolution :premises (t121 t248))
-(step t250 (cl @p_642 (! (not @p_640) :named @p_645)) :rule or_neg)
-(step t251 (cl @p_642) :rule th_resolution :premises (t247 t246 t249 t250))
-(step t252 (cl (! (not @p_639) :named @p_644) (! (not @p_638) :named @p_643) @p_585) :rule implies_pos)
-(step t253 (cl (not @p_643) @p_634) :rule not_not)
-(step t254 (cl @p_644 @p_634 @p_585) :rule th_resolution :premises (t253 t252))
-(step t255 (cl @p_645 @p_639) :rule and_pos)
-(step t256 (cl @p_399 @p_640) :rule or :premises (t251))
-(step t257 (cl @p_640) :rule resolution :premises (t256 t49))
-(step t258 (cl @p_639) :rule resolution :premises (t255 t257))
-(step t259 (cl (! (= @p_557 @p_557) :named @p_648)) :rule eq_reflexive)
-(step t260 (cl (not (! (= @p_646 @p_647) :named @p_649)) (! (not @p_579) :named @p_651) @p_582) :rule eq_transitive)
-(step t261 (cl (! (not @p_585) :named @p_650) (not @p_648) @p_649) :rule eq_congruent)
-(step t262 (cl @p_650 @p_649) :rule th_resolution :premises (t261 t259))
-(step t263 (cl @p_651 @p_582 @p_650) :rule th_resolution :premises (t260 t262))
-(step t264 (cl @p_650) :rule resolution :premises (t263 t238 t244))
-(step t265 (cl @p_634) :rule resolution :premises (t254 t264 t258))
-(step t266 (cl (or @p_638 (! (not (! (= @p_547 @p_652) :named @p_671)) :named @p_665))) :rule forall_inst :args ((:= veriT_vr3124 veriT_sk3)))
-(step t267 (cl (or (! (not @p_577) :named @p_653) (! (or (! (not (! (= @p_652 @p_652) :named @p_658)) :named @p_659) (! (= @p_504 (! (fst$ @p_652) :named @p_675)) :named @p_657)) :named @p_654))) :rule forall_inst :args ((:= veriT_vr23 @p_504) (:= veriT_vr24 @p_652) (:= veriT_vr26 veriT_sk3)))
-(step t268 (cl @p_653 @p_654) :rule or :premises (t267))
-(step t269 (cl (! (or @p_399 @p_654) :named @p_655) @p_436) :rule or_neg)
-(step t270 (cl @p_655 @p_136) :rule th_resolution :premises (t121 t269))
-(step t271 (cl @p_655 (! (not @p_654) :named @p_656)) :rule or_neg)
-(step t272 (cl @p_655) :rule th_resolution :premises (t232 t268 t270 t271))
-(anchor :step t273)
-(assume t273.h1 @p_654)
-(step t273.t2 (cl (= @p_658 true)) :rule eq_simplify)
-(step t273.t3 (cl (= @p_659 (! (not true) :named @p_660))) :rule cong :premises (t273.t2))
-(step t273.t4 (cl (= @p_660 false)) :rule not_simplify)
-(step t273.t5 (cl (= @p_659 false)) :rule trans :premises (t273.t3 t273.t4))
-(step t273.t6 (cl (= @p_654 (! (or false @p_657) :named @p_661))) :rule cong :premises (t273.t5))
-(step t273.t7 (cl (= @p_661 (! (or @p_657) :named @p_662))) :rule or_simplify)
-(step t273.t8 (cl (= @p_662 @p_657)) :rule or_simplify)
-(step t273.t9 (cl (! (= @p_654 @p_657) :named @p_663)) :rule trans :premises (t273.t6 t273.t7 t273.t8))
-(step t273.t10 (cl (not @p_663) @p_656 @p_657) :rule equiv_pos2)
-(step t273.t11 (cl @p_657) :rule th_resolution :premises (t273.h1 t273.t9 t273.t10))
-(step t273 (cl @p_656 @p_657) :rule subproof :discharge (h1))
-(step t274 (cl @p_399 @p_654) :rule or :premises (t272))
-(step t275 (cl (! (or @p_399 @p_657) :named @p_664) @p_436) :rule or_neg)
-(step t276 (cl @p_664 @p_136) :rule th_resolution :premises (t121 t275))
-(step t277 (cl @p_664 (! (not @p_657) :named @p_677)) :rule or_neg)
-(step t278 (cl @p_664) :rule th_resolution :premises (t274 t273 t276 t277))
-(step t279 (cl @p_638 @p_665) :rule or :premises (t266))
-(step t280 (cl @p_665) :rule resolution :premises (t279 t265))
-(step t281 (cl @p_399 @p_657) :rule or :premises (t278))
-(step t282 (cl @p_657) :rule resolution :premises (t281 t49))
-(step t283 (cl (! (not @p_541) :named @p_668) (! (not @p_509) :named @p_666) (! (= @p_438 @p_652) :named @p_667)) :rule eq_transitive)
-(step t284 (cl @p_666 @p_667 @p_538) :rule th_resolution :premises (t283 t201))
-(step t285 (cl @p_578 @p_668 @p_666 (! (= @p_545 @p_652) :named @p_669)) :rule eq_transitive)
-(step t286 (cl @p_578 @p_666 @p_669 @p_538) :rule th_resolution :premises (t285 t201))
-(step t287 (cl (! (= @p_547 @p_547) :named @p_670)) :rule eq_reflexive)
-(step t288 (cl (not @p_669) (! (not @p_556) :named @p_672) (! (not @p_670) :named @p_673) @p_671) :rule eq_transitive)
-(step t289 (cl @p_672 @p_673 @p_671 @p_578 @p_666 @p_538) :rule th_resolution :premises (t288 t286))
-(step t290 (cl @p_672 @p_671 @p_578 @p_666 @p_538) :rule th_resolution :premises (t289 t287))
-(step t291 (cl @p_672) :rule resolution :premises (t290 a3 t146 t164 t280))
-(step t292 (cl (not @p_667) (! (= @p_674 @p_675) :named @p_676)) :rule eq_congruent)
-(step t293 (cl @p_676 @p_666 @p_538) :rule th_resolution :premises (t292 t284))
-(step t294 (cl (! (not @p_439) :named @p_678) (not @p_676) @p_677 (! (= st$ @p_504) :named @p_679)) :rule eq_transitive)
-(step t295 (cl @p_678 @p_677 @p_679 @p_666 @p_538) :rule th_resolution :premises (t294 t293))
-(step t296 (cl (not @p_679) (! (= @p_286 @p_518) :named @p_680)) :rule eq_congruent)
-(step t297 (cl @p_680 @p_678 @p_677 @p_666 @p_538) :rule th_resolution :premises (t296 t295))
-(step t298 (cl @p_385) :rule resolution :premises (t221 t291))
-(step t299 (cl @p_384) :rule resolution :premises (t142 t298 t144))
-(step t300 (cl @p_505) :rule resolution :premises (t161 t299))
-(step t301 (cl @p_507) :rule resolution :premises (t159 t300 t162))
-(step t302 (cl (not @p_575) (! (not @p_680) :named @p_681) (! (not @p_507) :named @p_682) @p_531) :rule eq_congruent_pred)
-(step t303 (cl @p_681 @p_682 @p_531 @p_573 @p_574 @p_381) :rule th_resolution :premises (t302 t230))
-(step t304 (cl @p_682 @p_531 @p_573 @p_574 @p_381 @p_678 @p_677 @p_666 @p_538) :rule th_resolution :premises (t303 t297))
-(step t305 (cl) :rule resolution :premises (t304 t299 t146 t235 t301 t164 t171 t196 t198 t282))
+(assume t130.h1 @p_433)
+(anchor :step t130.t2 :args ((:= (veriT_vr25 V_list_v_result$) veriT_vr72)))
+(step t130.t2.t1 (cl (= veriT_vr25 veriT_vr72)) :rule refl)
+(step t130.t2.t2 (cl (= @p_435 (! (pair$ @p_378 veriT_vr72) :named @p_436))) :rule cong :premises (t130.t2.t1))
+(step t130.t2.t3 (cl (= @p_437 (! (= @p_3 @p_436) :named @p_438))) :rule cong :premises (t130.t2.t2))
+(step t130.t2 (cl (= @p_434 (! (exists ((veriT_vr72 V_list_v_result$)) @p_438) :named @p_440))) :rule bind)
+(step t130.t3 (cl (= @p_439 (! (=> @p_432 @p_440) :named @p_450))) :rule cong :premises (t130.t2))
+(anchor :step t130.t4 :args ((:= (veriT_vr26 V_list_v_result$) veriT_vr72)))
+(step t130.t4.t1 (cl (= veriT_vr26 veriT_vr72)) :rule refl)
+(step t130.t4.t2 (cl (= @p_442 @p_436)) :rule cong :premises (t130.t4.t1))
+(step t130.t4.t3 (cl (= @p_443 @p_438)) :rule cong :premises (t130.t4.t2))
+(step t130.t4.t4 (cl (= @p_444 (! (not @p_438) :named @p_445))) :rule cong :premises (t130.t4.t3))
+(step t130.t4 (cl (= @p_441 (! (forall ((veriT_vr72 V_list_v_result$)) @p_445) :named @p_447))) :rule bind)
+(step t130.t5 (cl (= @p_446 (! (not @p_447) :named @p_449))) :rule cong :premises (t130.t4))
+(step t130.t6 (cl (= @p_448 (! (=> @p_449 @p_432) :named @p_451))) :rule cong :premises (t130.t5))
+(step t130.t7 (cl (! (= @p_433 (! (and @p_450 @p_451) :named @p_454)) :named @p_452)) :rule cong :premises (t130.t3 t130.t6))
+(step t130.t8 (cl (not @p_452) (! (not @p_433) :named @p_453) @p_454) :rule equiv_pos2)
+(step t130.t9 (cl @p_454) :rule th_resolution :premises (t130.h1 t130.t7 t130.t8))
+(step t130.t10 (cl (= @p_432 true)) :rule eq_simplify)
+(step t130.t11 (cl (= @p_450 (! (=> true @p_440) :named @p_455))) :rule cong :premises (t130.t10))
+(step t130.t12 (cl (= @p_455 @p_440)) :rule implies_simplify)
+(step t130.t13 (cl (= @p_450 @p_440)) :rule trans :premises (t130.t11 t130.t12))
+(step t130.t14 (cl (= @p_451 (! (=> @p_449 true) :named @p_456))) :rule cong :premises (t130.t10))
+(step t130.t15 (cl (= @p_456 true)) :rule implies_simplify)
+(step t130.t16 (cl (= @p_451 true)) :rule trans :premises (t130.t14 t130.t15))
+(step t130.t17 (cl (= @p_454 (! (and @p_440 true) :named @p_457))) :rule cong :premises (t130.t13 t130.t16))
+(step t130.t18 (cl (= @p_457 (! (and @p_440) :named @p_458))) :rule and_simplify)
+(step t130.t19 (cl (= @p_458 @p_440)) :rule and_simplify)
+(step t130.t20 (cl (! (= @p_454 @p_440) :named @p_459)) :rule trans :premises (t130.t17 t130.t18 t130.t19))
+(step t130.t21 (cl (not @p_459) (not @p_454) @p_440) :rule equiv_pos2)
+(step t130.t22 (cl @p_440) :rule th_resolution :premises (t130.t9 t130.t20 t130.t21))
+(anchor :step t130.t23 :args ((:= (veriT_vr72 V_list_v_result$) veriT_vr73)))
+(step t130.t23.t1 (cl (= veriT_vr72 veriT_vr73)) :rule refl)
+(step t130.t23.t2 (cl (= @p_436 @p_461)) :rule cong :premises (t130.t23.t1))
+(step t130.t23.t3 (cl (= @p_438 @p_460)) :rule cong :premises (t130.t23.t2))
+(step t130.t23 (cl (! (= @p_440 (! (exists ((veriT_vr73 V_list_v_result$)) @p_460) :named @p_463)) :named @p_462)) :rule bind)
+(step t130.t24 (cl (not @p_462) (not @p_440) @p_463) :rule equiv_pos2)
+(step t130.t25 (cl @p_463) :rule th_resolution :premises (t130.t22 t130.t23 t130.t24))
+(anchor :step t130.t26 :args ((:= (veriT_vr73 V_list_v_result$) veriT_sk3)))
+(step t130.t26.t1 (cl (= veriT_vr73 veriT_sk3)) :rule refl)
+(step t130.t26.t2 (cl (= @p_461 (! (pair$ @p_378 veriT_sk3) :named @p_466))) :rule cong :premises (t130.t26.t1))
+(step t130.t26.t3 (cl (= @p_460 (! (= @p_3 @p_466) :named @p_464))) :rule cong :premises (t130.t26.t2))
+(step t130.t26 (cl (! (= @p_463 @p_464) :named @p_467)) :rule sko_ex)
+(step t130.t27 (cl (not @p_467) (not @p_463) @p_464) :rule equiv_pos2)
+(step t130.t28 (cl @p_464) :rule th_resolution :premises (t130.t25 t130.t26 t130.t27))
+(step t130 (cl @p_453 @p_464) :rule subproof :discharge (h1))
+(step t131 (cl @p_431 @p_433) :rule or :premises (t129))
+(step t132 (cl (! (or @p_431 @p_464) :named @p_469) @p_468) :rule or_neg)
+(step t133 (cl @p_469 @p_170) :rule th_resolution :premises (t128 t132))
+(step t134 (cl @p_469 (! (not @p_464) :named @p_595)) :rule or_neg)
+(step t135 (cl @p_469) :rule th_resolution :premises (t131 t130 t133 t134))
+(step t136 (cl (or @p_431 (! (and (! (=> (! (= st$ (! (fst$ @p_470) :named @p_650)) :named @p_471) (! (exists ((veriT_vr25 V_list_v_result$)) (! (= @p_470 (! (pair$ st$ veriT_vr25) :named @p_474)) :named @p_476)) :named @p_473)) :named @p_478) (! (=> (! (not (! (forall ((veriT_vr26 V_list_v_result$)) (! (not (! (= @p_470 (! (pair$ st$ veriT_vr26) :named @p_481)) :named @p_482)) :named @p_483)) :named @p_480)) :named @p_485) @p_471) :named @p_487)) :named @p_472))) :rule forall_inst :args ((:= veriT_vr23 st$) (:= veriT_vr24 @p_470)))
+(anchor :step t137)
+(assume t137.h1 @p_472)
+(anchor :step t137.t2 :args ((:= (veriT_vr25 V_list_v_result$) veriT_vr106)))
+(step t137.t2.t1 (cl (= veriT_vr25 veriT_vr106)) :rule refl)
+(step t137.t2.t2 (cl (= @p_474 (! (pair$ st$ veriT_vr106) :named @p_475))) :rule cong :premises (t137.t2.t1))
+(step t137.t2.t3 (cl (= @p_476 (! (= @p_470 @p_475) :named @p_477))) :rule cong :premises (t137.t2.t2))
+(step t137.t2 (cl (= @p_473 (! (exists ((veriT_vr106 V_list_v_result$)) @p_477) :named @p_479))) :rule bind)
+(step t137.t3 (cl (= @p_478 (! (=> @p_471 @p_479) :named @p_489))) :rule cong :premises (t137.t2))
+(anchor :step t137.t4 :args ((:= (veriT_vr26 V_list_v_result$) veriT_vr106)))
+(step t137.t4.t1 (cl (= veriT_vr26 veriT_vr106)) :rule refl)
+(step t137.t4.t2 (cl (= @p_481 @p_475)) :rule cong :premises (t137.t4.t1))
+(step t137.t4.t3 (cl (= @p_482 @p_477)) :rule cong :premises (t137.t4.t2))
+(step t137.t4.t4 (cl (= @p_483 (! (not @p_477) :named @p_484))) :rule cong :premises (t137.t4.t3))
+(step t137.t4 (cl (= @p_480 (! (forall ((veriT_vr106 V_list_v_result$)) @p_484) :named @p_486))) :rule bind)
+(step t137.t5 (cl (= @p_485 (! (not @p_486) :named @p_488))) :rule cong :premises (t137.t4))
+(step t137.t6 (cl (= @p_487 (! (=> @p_488 @p_471) :named @p_490))) :rule cong :premises (t137.t5))
+(step t137.t7 (cl (! (= @p_472 (! (and @p_489 @p_490) :named @p_493)) :named @p_491)) :rule cong :premises (t137.t3 t137.t6))
+(step t137.t8 (cl (not @p_491) (! (not @p_472) :named @p_492) @p_493) :rule equiv_pos2)
+(step t137.t9 (cl @p_493) :rule th_resolution :premises (t137.h1 t137.t7 t137.t8))
+(anchor :step t137.t10 :args ((:= (veriT_vr106 V_list_v_result$) veriT_vr107)))
+(step t137.t10.t1 (cl (= veriT_vr106 veriT_vr107)) :rule refl)
+(step t137.t10.t2 (cl (= @p_475 (! (pair$ st$ veriT_vr107) :named @p_494))) :rule cong :premises (t137.t10.t1))
+(step t137.t10.t3 (cl (= @p_477 (! (= @p_470 @p_494) :named @p_495))) :rule cong :premises (t137.t10.t2))
+(step t137.t10.t4 (cl (= @p_484 (! (not @p_495) :named @p_496))) :rule cong :premises (t137.t10.t3))
+(step t137.t10 (cl (= @p_486 (! (forall ((veriT_vr107 V_list_v_result$)) @p_496) :named @p_497))) :rule bind)
+(step t137.t11 (cl (= @p_488 (! (not @p_497) :named @p_498))) :rule cong :premises (t137.t10))
+(step t137.t12 (cl (= @p_490 (! (=> @p_498 @p_471) :named @p_499))) :rule cong :premises (t137.t11))
+(step t137.t13 (cl (! (= @p_493 (! (and @p_489 @p_499) :named @p_501)) :named @p_500)) :rule cong :premises (t137.t12))
+(step t137.t14 (cl (not @p_500) (not @p_493) @p_501) :rule equiv_pos2)
+(step t137.t15 (cl @p_501) :rule th_resolution :premises (t137.t9 t137.t13 t137.t14))
+(anchor :step t137.t16 :args ((:= (veriT_vr106 V_list_v_result$) veriT_vr108)))
+(step t137.t16.t1 (cl (= veriT_vr106 veriT_vr108)) :rule refl)
+(step t137.t16.t2 (cl (= @p_475 @p_503)) :rule cong :premises (t137.t16.t1))
+(step t137.t16.t3 (cl (= @p_477 @p_502)) :rule cong :premises (t137.t16.t2))
+(step t137.t16 (cl (= @p_479 (! (exists ((veriT_vr108 V_list_v_result$)) @p_502) :named @p_504))) :rule bind)
+(step t137.t17 (cl (= @p_489 (! (=> @p_471 @p_504) :named @p_510))) :rule cong :premises (t137.t16))
+(anchor :step t137.t18 :args ((:= (veriT_vr107 V_list_v_result$) veriT_vr109)))
+(step t137.t18.t1 (cl (= veriT_vr107 veriT_vr109)) :rule refl)
+(step t137.t18.t2 (cl (= @p_494 (! (pair$ st$ veriT_vr109) :named @p_505))) :rule cong :premises (t137.t18.t1))
+(step t137.t18.t3 (cl (= @p_495 (! (= @p_470 @p_505) :named @p_506))) :rule cong :premises (t137.t18.t2))
+(step t137.t18.t4 (cl (= @p_496 (! (not @p_506) :named @p_507))) :rule cong :premises (t137.t18.t3))
+(step t137.t18 (cl (= @p_497 (! (forall ((veriT_vr109 V_list_v_result$)) @p_507) :named @p_508))) :rule bind)
+(step t137.t19 (cl (= @p_498 (! (not @p_508) :named @p_509))) :rule cong :premises (t137.t18))
+(step t137.t20 (cl (= @p_499 (! (=> @p_509 @p_471) :named @p_511))) :rule cong :premises (t137.t19))
+(step t137.t21 (cl (! (= @p_501 (! (and @p_510 @p_511) :named @p_513)) :named @p_512)) :rule cong :premises (t137.t17 t137.t20))
+(step t137.t22 (cl (not @p_512) (not @p_501) @p_513) :rule equiv_pos2)
+(step t137.t23 (cl @p_513) :rule th_resolution :premises (t137.t15 t137.t21 t137.t22))
+(anchor :step t137.t24 :args ((:= (veriT_vr108 V_list_v_result$) veriT_sk11)))
+(step t137.t24.t1 (cl (= veriT_vr108 veriT_sk11)) :rule refl)
+(step t137.t24.t2 (cl (= @p_503 (! (pair$ st$ veriT_sk11) :named @p_516))) :rule cong :premises (t137.t24.t1))
+(step t137.t24.t3 (cl (= @p_502 (! (= @p_470 @p_516) :named @p_514))) :rule cong :premises (t137.t24.t2))
+(step t137.t24 (cl (= @p_504 @p_514)) :rule sko_ex)
+(step t137.t25 (cl (= @p_510 (! (=> @p_471 @p_514) :named @p_517))) :rule cong :premises (t137.t24))
+(step t137.t26 (cl (! (= @p_513 (! (and @p_517 @p_511) :named @p_519)) :named @p_518)) :rule cong :premises (t137.t25))
+(step t137.t27 (cl (not @p_518) (not @p_513) @p_519) :rule equiv_pos2)
+(step t137.t28 (cl @p_519) :rule th_resolution :premises (t137.t23 t137.t26 t137.t27))
+(anchor :step t137.t29 :args ((:= (veriT_vr109 V_list_v_result$) veriT_vr110)))
+(step t137.t29.t1 (cl (= veriT_vr109 veriT_vr110)) :rule refl)
+(step t137.t29.t2 (cl (= @p_505 (! (pair$ st$ veriT_vr110) :named @p_521))) :rule cong :premises (t137.t29.t1))
+(step t137.t29.t3 (cl (= @p_506 (! (= @p_470 @p_521) :named @p_522))) :rule cong :premises (t137.t29.t2))
+(step t137.t29.t4 (cl (= @p_507 (! (not @p_522) :named @p_523))) :rule cong :premises (t137.t29.t3))
+(step t137.t29 (cl (= @p_508 (! (forall ((veriT_vr110 V_list_v_result$)) @p_523) :named @p_520))) :rule bind)
+(step t137.t30 (cl (= @p_509 (! (not @p_520) :named @p_524))) :rule cong :premises (t137.t29))
+(step t137.t31 (cl (= @p_511 (! (=> @p_524 @p_471) :named @p_525))) :rule cong :premises (t137.t30))
+(step t137.t32 (cl (! (= @p_519 (! (and @p_517 @p_525) :named @p_526)) :named @p_527)) :rule cong :premises (t137.t31))
+(step t137.t33 (cl (not @p_527) (not @p_519) @p_526) :rule equiv_pos2)
+(step t137.t34 (cl @p_526) :rule th_resolution :premises (t137.t28 t137.t32 t137.t33))
+(step t137 (cl @p_492 @p_526) :rule subproof :discharge (h1))
+(step t138 (cl @p_431 @p_472) :rule or :premises (t136))
+(step t139 (cl (! (or @p_431 @p_526) :named @p_528) @p_468) :rule or_neg)
+(step t140 (cl @p_528 @p_170) :rule th_resolution :premises (t128 t139))
+(step t141 (cl @p_528 (! (not @p_526) :named @p_553)) :rule or_neg)
+(step t142 (cl @p_528) :rule th_resolution :premises (t138 t137 t140 t141))
+(step t143 (cl (not (! (not (! (not @p_79) :named @p_529)) :named @p_537)) @p_79) :rule not_not)
+(step t144 (cl (or @p_529 (! (= (! (fun_app$b (! (uu$ @p_378 @p_530) :named @p_655) @p_371) :named @p_532) (! (ite @p_373 @p_370 @p_371) :named @p_533)) :named @p_531))) :rule forall_inst :args ((:= veriT_vr7 @p_378) (:= veriT_vr8 @p_530) (:= veriT_vr9 @p_371)))
+(anchor :step t145)
+(assume t145.h1 @p_531)
+(step t145.t2 (cl (! (= @p_531 (! (and (! (= @p_532 @p_533) :named @p_555) (! (ite @p_373 (= @p_370 @p_533) (! (= @p_371 @p_533) :named @p_557)) :named @p_556)) :named @p_534)) :named @p_535)) :rule ite_intro)
+(step t145.t3 (cl (not @p_535) (! (not @p_531) :named @p_536) @p_534) :rule equiv_pos2)
+(step t145.t4 (cl @p_534) :rule th_resolution :premises (t145.h1 t145.t2 t145.t3))
+(step t145 (cl @p_536 @p_534) :rule subproof :discharge (h1))
+(step t146 (cl @p_529 @p_531) :rule or :premises (t144))
+(step t147 (cl (! (or @p_529 @p_534) :named @p_538) @p_537) :rule or_neg)
+(step t148 (cl @p_538 @p_79) :rule th_resolution :premises (t143 t147))
+(step t149 (cl @p_538 (! (not @p_534) :named @p_554)) :rule or_neg)
+(step t150 (cl @p_538) :rule th_resolution :premises (t146 t145 t148 t149))
+(step t151 (cl (or @p_529 (! (= (! (fun_app$b (! (uu$ @p_378 st$) :named @p_656) @p_371) :named @p_540) (! (ite (! (less_eq$ @p_318 @p_371) :named @p_542) @p_318 @p_371) :named @p_541)) :named @p_539))) :rule forall_inst :args ((:= veriT_vr7 @p_378) (:= veriT_vr8 st$) (:= veriT_vr9 @p_371)))
+(anchor :step t152)
+(assume t152.h1 @p_539)
+(step t152.t2 (cl (! (= @p_539 (! (and (! (= @p_540 @p_541) :named @p_560) (ite @p_542 (! (= @p_318 @p_541) :named @p_662) (= @p_371 @p_541))) :named @p_543)) :named @p_544)) :rule ite_intro)
+(step t152.t3 (cl (not @p_544) (! (not @p_539) :named @p_545) @p_543) :rule equiv_pos2)
+(step t152.t4 (cl @p_543) :rule th_resolution :premises (t152.h1 t152.t2 t152.t3))
+(step t152 (cl @p_545 @p_543) :rule subproof :discharge (h1))
+(step t153 (cl @p_529 @p_539) :rule or :premises (t151))
+(step t154 (cl (! (or @p_529 @p_543) :named @p_546) @p_537) :rule or_neg)
+(step t155 (cl @p_546 @p_79) :rule th_resolution :premises (t143 t154))
+(step t156 (cl @p_546 (! (not @p_543) :named @p_559)) :rule or_neg)
+(step t157 (cl @p_546) :rule th_resolution :premises (t153 t152 t155 t156))
+(step t158 (cl @p_547 @p_548) :rule or :premises (t115))
+(step t159 (cl @p_548) :rule resolution :premises (t158 t89))
+(step t160 (cl @p_421 (! (not @p_413) :named @p_549) (! (not @p_417) :named @p_550)) :rule and_neg)
+(step t161 (cl (not @p_549) @p_416) :rule not_not)
+(step t162 (cl @p_421 @p_416 @p_550) :rule th_resolution :premises (t161 t160))
+(step t163 (cl (not @p_550) @p_420) :rule not_not)
+(step t164 (cl @p_421 @p_416 @p_420) :rule th_resolution :premises (t163 t162))
+(step t165 (cl @p_427 @p_422) :rule or :premises (t127))
+(step t166 (cl @p_422) :rule resolution :premises (t165 t65))
+(step t167 (cl @p_431 @p_464) :rule or :premises (t135))
+(step t168 (cl @p_464) :rule resolution :premises (t167 t56))
+(step t169 (cl (! (not @p_525) :named @p_552) (! (not @p_524) :named @p_551) @p_471) :rule implies_pos)
+(step t170 (cl (not @p_551) @p_520) :rule not_not)
+(step t171 (cl @p_552 @p_520 @p_471) :rule th_resolution :premises (t170 t169))
+(step t172 (cl @p_553 @p_525) :rule and_pos)
+(step t173 (cl @p_431 @p_526) :rule or :premises (t142))
+(step t174 (cl @p_526) :rule resolution :premises (t173 t56))
+(step t175 (cl @p_525) :rule resolution :premises (t172 t174))
+(step t176 (cl @p_554 @p_555) :rule and_pos)
+(step t177 (cl (! (not @p_556) :named @p_558) @p_373 @p_557) :rule ite_pos1)
+(step t178 (cl @p_554 @p_556) :rule and_pos)
+(step t179 (cl @p_529 @p_534) :rule or :premises (t150))
+(step t180 (cl @p_558 @p_557) :rule resolution :premises (t177 t113))
+(step t181 (cl @p_534) :rule resolution :premises (t179 t32))
+(step t182 (cl @p_555) :rule resolution :premises (t176 t181))
+(step t183 (cl @p_556) :rule resolution :premises (t178 t181))
+(step t184 (cl @p_557) :rule resolution :premises (t180 t183))
+(step t185 (cl @p_559 @p_560) :rule and_pos)
+(step t186 (cl @p_529 @p_543) :rule or :premises (t157))
+(step t187 (cl @p_543) :rule resolution :premises (t186 t32))
+(step t188 (cl @p_560) :rule resolution :premises (t185 t187))
+(step t189 (cl (! (not (! (= st$ @p_530) :named @p_651)) :named @p_654) (! (= @p_318 @p_370) :named @p_663)) :rule eq_congruent)
+(step t190 (cl (or (! (not @p_357) :named @p_565) (! (=> (! (and @p_359 @p_416) :named @p_562) (! (less_eq$ (! (clock$ (! (fst$ (! (fun_app$ (fun_evaluate_match$ st$ env$ veriT_sk0 pes$) veriT_sk0) :named @p_583)) :named @p_618)) :named @p_619) @p_318) :named @p_564)) :named @p_563))) :rule forall_inst :args ((:= veriT_vr61 x2$) (:= veriT_vr62 veriT_sk0)))
+(step t191 (cl (or @p_547 (! (= (! (fix_clock$ st$a @p_466) :named @p_596) (! (pair$ @p_561 veriT_sk3) :named @p_676)) :named @p_566))) :rule forall_inst :args ((:= veriT_vr56 st$a) (:= veriT_vr57 @p_378) (:= veriT_vr58 veriT_sk3)))
+(step t192 (cl (or (! (not @p_290) :named @p_569) (! (=> @p_548 (! (less_eq$ (! (clock$ @p_561) :named @p_575) @p_371) :named @p_568)) :named @p_567))) :rule forall_inst :args ((:= veriT_vr49 st$a) (:= veriT_vr50 @p_378) (:= veriT_vr51 r$) (:= veriT_vr52 @p_561)))
+(step t193 (cl (or (! (not @p_236) :named @p_571) (! (= (! (case_error_result$ uua$ uub$ @p_415) :named @p_621) (! (fun_app$ uua$ veriT_sk0) :named @p_584)) :named @p_572))) :rule forall_inst :args ((:= veriT_vr36 uua$) (:= veriT_vr37 uub$) (:= veriT_vr38 veriT_sk0)))
+(step t194 (cl @p_562 (! (not @p_359) :named @p_614) @p_413) :rule and_neg)
+(step t195 (cl (not @p_563) (not @p_562) @p_564) :rule implies_pos)
+(step t196 (cl @p_565 @p_563) :rule or :premises (t190))
+(step t197 (cl @p_562 @p_413) :rule resolution :premises (t194 t101))
+(step t198 (cl @p_563) :rule resolution :premises (t196 t95))
+(step t199 (cl @p_547 @p_566) :rule or :premises (t191))
+(step t200 (cl @p_566) :rule resolution :premises (t199 t89))
+(step t201 (cl (! (not @p_567) :named @p_570) (not @p_548) @p_568) :rule implies_pos)
+(step t202 (cl @p_569 @p_567) :rule or :premises (t192))
+(step t203 (cl @p_570 @p_568) :rule resolution :premises (t201 t159))
+(step t204 (cl @p_567) :rule resolution :premises (t202 t83))
+(step t205 (cl @p_568) :rule resolution :premises (t203 t204))
+(step t206 (cl @p_571 @p_572) :rule or :premises (t193))
+(step t207 (cl @p_572) :rule resolution :premises (t206 t71))
+(step t208 (cl @p_368 @p_573) :rule or :premises (t103))
+(step t209 (cl (or (! (not @p_573) :named @p_576) (! (or @p_574 (! (not @p_568) :named @p_581) (! (less_eq$ @p_575 @p_7) :named @p_582)) :named @p_577))) :rule forall_inst :args ((:= veriT_vr13 @p_371) (:= veriT_vr14 @p_7) (:= veriT_vr15 @p_575)))
+(step t210 (cl @p_576 @p_577) :rule or :premises (t209))
+(step t211 (cl (! (or @p_368 @p_577) :named @p_579) @p_578) :rule or_neg)
+(step t212 (cl @p_579 @p_105) :rule th_resolution :premises (t114 t211))
+(step t213 (cl @p_579 (! (not @p_577) :named @p_580)) :rule or_neg)
+(step t214 (cl @p_579) :rule th_resolution :premises (t208 t210 t212 t213))
+(step t215 (cl @p_580 @p_574 @p_581 @p_582) :rule or_pos)
+(step t216 (cl @p_368 @p_577) :rule or :premises (t214))
+(step t217 (cl @p_580 @p_582) :rule resolution :premises (t215 axiom4 t205))
+(step t218 (cl @p_577) :rule resolution :premises (t216 t38))
+(step t219 (cl @p_582) :rule resolution :premises (t217 t218))
+(step t220 (cl (or (! (not @p_257) :named @p_585) (! (= (! (case_error_result$ uua$ uub$ @p_419) :named @p_603) (! (fun_app$a uub$ veriT_sk1) :named @p_599)) :named @p_586))) :rule forall_inst :args ((:= veriT_vr42 uua$) (:= veriT_vr43 uub$) (:= veriT_vr44 veriT_sk1)))
+(step t221 (cl (or @p_368 (! (=> (! (and @p_582 (! (less_eq$ @p_370 @p_575) :named @p_588)) :named @p_587) @p_360) :named @p_589))) :rule forall_inst :args ((:= veriT_vr13 @p_575) (:= veriT_vr14 @p_7) (:= veriT_vr15 @p_370)))
+(step t222 (cl (or (! (not @p_26) :named @p_593) (! (= @p_583 @p_584) :named @p_594))) :rule forall_inst :args ((:= veriT_vr1 veriT_sk0)))
+(step t223 (cl @p_585 @p_586) :rule or :premises (t220))
+(step t224 (cl @p_586) :rule resolution :premises (t223 t77))
+(step t225 (cl @p_587 (not @p_582) (! (not @p_588) :named @p_590)) :rule and_neg)
+(step t226 (cl (! (not @p_589) :named @p_591) (! (not @p_587) :named @p_592) @p_360) :rule implies_pos)
+(step t227 (cl @p_368 @p_589) :rule or :premises (t221))
+(step t228 (cl @p_587 @p_590) :rule resolution :premises (t225 t219))
+(step t229 (cl @p_591 @p_592) :rule resolution :premises (t226 t102))
+(step t230 (cl @p_589) :rule resolution :premises (t227 t38))
+(step t231 (cl @p_592) :rule resolution :premises (t229 t230))
+(step t232 (cl @p_590) :rule resolution :premises (t228 t231))
+(step t233 (cl @p_593 @p_594) :rule or :premises (t222))
+(step t234 (cl @p_594) :rule resolution :premises (t233 t20))
+(step t235 (cl (not (! (= st$a st$a) :named @p_597)) @p_595 (! (= @p_470 @p_596) :named @p_598)) :rule eq_congruent)
+(step t236 (cl @p_597) :rule eq_reflexive)
+(step t237 (cl @p_595 @p_598) :rule th_resolution :premises (t235 t236))
+(step t238 (cl (or (! (not @p_48) :named @p_600) (! (= @p_599 (! (pair$ st$ (! (rerr$ @p_419) :named @p_608)) :named @p_610)) :named @p_601))) :rule forall_inst :args ((:= veriT_vr3 veriT_sk1)))
+(step t239 (cl @p_600 @p_601) :rule or :premises (t238))
+(step t240 (cl @p_601) :rule resolution :premises (t239 t26))
+(step t241 (cl (! (not (! (= uua$ uua$) :named @p_604)) :named @p_623) (! (not (! (= uub$ uub$) :named @p_607)) :named @p_605) @p_417 (! (= @p_602 @p_603) :named @p_606)) :rule eq_congruent)
+(step t242 (cl @p_604) :rule eq_reflexive)
+(step t243 (cl @p_605 @p_417 @p_606) :rule th_resolution :premises (t241 t242))
+(step t244 (cl @p_607) :rule eq_reflexive)
+(step t245 (cl @p_417 @p_606) :rule th_resolution :premises (t243 t244))
+(step t246 (cl (not (! (= st$ st$) :named @p_611)) (! (not (! (= r$ @p_608) :named @p_616)) :named @p_612) (! (= @p_609 @p_610) :named @p_613)) :rule eq_congruent)
+(step t247 (cl @p_611) :rule eq_reflexive)
+(step t248 (cl @p_612 @p_613) :rule th_resolution :premises (t246 t247))
+(step t249 (cl @p_614 (not (! (= @p_615 @p_608) :named @p_617)) @p_616) :rule eq_transitive)
+(step t250 (cl @p_417 @p_617) :rule eq_congruent)
+(step t251 (cl @p_614 @p_616 @p_417) :rule th_resolution :premises (t249 t250))
+(step t252 (cl @p_613 @p_614 @p_417) :rule th_resolution :premises (t248 t251))
+(step t253 (cl (not (! (= @p_530 @p_618) :named @p_620)) (! (= @p_370 @p_619) :named @p_627)) :rule eq_congruent)
+(step t254 (cl (not (! (= @p_602 @p_583) :named @p_622)) @p_620) :rule eq_congruent)
+(step t255 (cl (not (! (= @p_602 @p_621) :named @p_624)) (! (not @p_572) :named @p_625) (! (not @p_594) :named @p_626) @p_622) :rule eq_transitive)
+(step t256 (cl @p_623 @p_605 @p_413 @p_624) :rule eq_congruent)
+(step t257 (cl @p_605 @p_413 @p_624) :rule th_resolution :premises (t256 t242))
+(step t258 (cl @p_413 @p_624) :rule th_resolution :premises (t257 t244))
+(step t259 (cl @p_625 @p_626 @p_622 @p_413) :rule th_resolution :premises (t255 t258))
+(step t260 (cl @p_620 @p_625 @p_626 @p_413) :rule th_resolution :premises (t254 t259))
+(step t261 (cl @p_627 @p_625 @p_626 @p_413) :rule th_resolution :premises (t253 t260))
+(step t262 (cl (or @p_524 (! (not @p_628) :named @p_630))) :rule forall_inst :args ((:= veriT_vr110 r$)))
+(step t263 (cl @p_431 @p_629) :rule or :premises (t104))
+(step t264 (cl @p_524 @p_630) :rule or :premises (t262))
+(step t265 (cl @p_524) :rule resolution :premises (t264 axiom3))
+(step t266 (cl @p_471) :rule resolution :premises (t171 t265 t175))
+(step t267 (cl (or @p_529 (! (= (! (fun_app$b (! (uu$ @p_378 @p_561) :named @p_631) (! (clock$ (update_clock$ @p_631 @p_561)) :named @p_632)) :named @p_634) (! (ite @p_568 @p_575 @p_371) :named @p_635)) :named @p_633))) :rule forall_inst :args ((:= veriT_vr7 @p_378) (:= veriT_vr8 @p_561) (:= veriT_vr9 @p_632)))
+(anchor :step t268)
+(assume t268.h1 @p_633)
+(step t268.t2 (cl (! (= @p_633 (! (and (= @p_634 @p_635) (! (ite @p_568 (! (= @p_575 @p_635) :named @p_647) (= @p_371 @p_635)) :named @p_646)) :named @p_636)) :named @p_637)) :rule ite_intro)
+(step t268.t3 (cl (not @p_637) (! (not @p_633) :named @p_638) @p_636) :rule equiv_pos2)
+(step t268.t4 (cl @p_636) :rule th_resolution :premises (t268.h1 t268.t2 t268.t3))
+(step t268 (cl @p_638 @p_636) :rule subproof :discharge (h1))
+(step t269 (cl @p_529 @p_633) :rule or :premises (t267))
+(step t270 (cl (! (or @p_529 @p_636) :named @p_639) @p_537) :rule or_neg)
+(step t271 (cl @p_639 @p_79) :rule th_resolution :premises (t143 t270))
+(step t272 (cl @p_639 (! (not @p_636) :named @p_648)) :rule or_neg)
+(step t273 (cl @p_639) :rule th_resolution :premises (t269 t268 t271 t272))
+(step t274 (cl (or @p_529 (! (= @p_635 (! (fun_app$b @p_631 @p_371) :named @p_641)) :named @p_640))) :rule forall_inst :args ((:= veriT_vr7 @p_378) (:= veriT_vr8 @p_561) (:= veriT_vr9 @p_371)))
+(anchor :step t275)
+(assume t275.h1 @p_640)
+(step t275.t2 (cl (! (= @p_640 (! (= @p_635 @p_641) :named @p_642)) :named @p_643)) :rule ite_intro)
+(step t275.t3 (cl (not @p_643) (! (not @p_640) :named @p_644) @p_642) :rule equiv_pos2)
+(step t275.t4 (cl @p_642) :rule th_resolution :premises (t275.h1 t275.t2 t275.t3))
+(step t275 (cl @p_644 @p_642) :rule subproof :discharge (h1))
+(step t276 (cl @p_529 @p_640) :rule or :premises (t274))
+(step t277 (cl (! (or @p_529 @p_642) :named @p_645) @p_537) :rule or_neg)
+(step t278 (cl @p_645 @p_79) :rule th_resolution :premises (t143 t277))
+(step t279 (cl @p_645 (! (not @p_642) :named @p_696)) :rule or_neg)
+(step t280 (cl @p_645) :rule th_resolution :premises (t276 t275 t278 t279))
+(step t281 (cl (! (not @p_646) :named @p_649) @p_581 @p_647) :rule ite_pos2)
+(step t282 (cl @p_648 @p_646) :rule and_pos)
+(step t283 (cl @p_529 @p_636) :rule or :premises (t273))
+(step t284 (cl @p_649 @p_647) :rule resolution :premises (t281 t205))
+(step t285 (cl @p_636) :rule resolution :premises (t283 t32))
+(step t286 (cl @p_646) :rule resolution :premises (t282 t285))
+(step t287 (cl @p_647) :rule resolution :premises (t284 t286))
+(step t288 (cl @p_529 @p_642) :rule or :premises (t280))
+(step t289 (cl @p_642) :rule resolution :premises (t288 t32))
+(step t290 (cl (! (= @p_371 @p_371) :named @p_671)) :rule eq_reflexive)
+(step t291 (cl (! (not @p_471) :named @p_661) (not (! (= @p_530 @p_650) :named @p_652)) @p_651) :rule eq_transitive)
+(step t292 (cl (not (! (= @p_470 @p_602) :named @p_653)) @p_652) :rule eq_congruent)
+(step t293 (cl @p_630 (not @p_613) (! (not @p_601) :named @p_657) (! (not @p_586) :named @p_658) (! (not @p_606) :named @p_659) @p_653) :rule eq_transitive)
+(step t294 (cl (! (not @p_432) :named @p_674) @p_654 (! (= @p_655 @p_656) :named @p_670)) :rule eq_congruent)
+(step t295 (cl @p_432) :rule eq_reflexive)
+(step t296 (cl @p_630 @p_657 @p_658 @p_659 @p_653 @p_614 @p_417) :rule th_resolution :premises (t293 t252))
+(step t297 (cl @p_630 @p_657 @p_658 @p_653 @p_614 @p_417 @p_417) :rule th_resolution :premises (t296 t245))
+(step t298 (cl @p_630 @p_657 @p_658 @p_653 @p_614 @p_417) :rule contraction :premises (t297))
+(step t299 (cl @p_652 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t292 t298))
+(step t300 (cl (not (! (= @p_371 @p_370) :named @p_664)) (! (not (! (= @p_7 @p_7) :named @p_660)) :named @p_675) @p_574 @p_360) :rule eq_congruent_pred)
+(step t301 (cl @p_660) :rule eq_reflexive)
+(step t302 (cl @p_661 @p_651 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t291 t299))
+(step t303 (cl (! (not @p_557) :named @p_665) (! (not @p_555) :named @p_666) (! (not (! (= @p_532 @p_540) :named @p_672)) :named @p_667) (! (not @p_560) :named @p_668) (! (not @p_662) :named @p_669) (not @p_663) @p_664) :rule eq_transitive)
+(step t304 (cl @p_663 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t189 t302))
+(step t305 (cl @p_665 @p_666 @p_667 @p_668 @p_669 @p_664 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t303 t304))
+(step t306 (cl (! (not @p_670) :named @p_673) (! (not @p_671) :named @p_699) @p_672) :rule eq_congruent)
+(step t307 (cl @p_673 @p_672) :rule th_resolution :premises (t306 t290))
+(step t308 (cl @p_674 @p_670 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t294 t302))
+(step t309 (cl @p_670 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t308 t295))
+(step t310 (cl @p_672 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t307 t309))
+(step t311 (cl @p_665 @p_666 @p_668 @p_669 @p_664 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t305 t310))
+(step t312 (cl @p_665 @p_666 @p_668 @p_669 @p_664 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule contraction :premises (t311))
+(step t313 (cl @p_675 @p_574 @p_360 @p_665 @p_666 @p_668 @p_669 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t300 t312))
+(step t314 (cl @p_574 @p_360 @p_665 @p_666 @p_668 @p_669 @p_661 @p_630 @p_657 @p_658 @p_614 @p_417) :rule th_resolution :premises (t313 t301))
+(step t315 (cl @p_669 @p_417) :rule resolution :premises (t314 axiom3 axiom4 t101 t102 t266 t182 t184 t188 t224 t240))
+(step t316 (cl (or (! (not @p_629) :named @p_677) (! (or (! (not (! (= @p_676 @p_676) :named @p_682)) :named @p_683) (! (= @p_561 (! (fst$ @p_676) :named @p_691)) :named @p_681)) :named @p_678))) :rule forall_inst :args ((:= veriT_vr23 @p_561) (:= veriT_vr24 @p_676) (:= veriT_vr26 veriT_sk3)))
+(step t317 (cl @p_677 @p_678) :rule or :premises (t316))
+(step t318 (cl (! (or @p_431 @p_678) :named @p_679) @p_468) :rule or_neg)
+(step t319 (cl @p_679 @p_170) :rule th_resolution :premises (t128 t318))
+(step t320 (cl @p_679 (! (not @p_678) :named @p_680)) :rule or_neg)
+(step t321 (cl @p_679) :rule th_resolution :premises (t263 t317 t319 t320))
+(anchor :step t322)
+(assume t322.h1 @p_678)
+(step t322.t2 (cl (= @p_682 true)) :rule eq_simplify)
+(step t322.t3 (cl (= @p_683 (! (not true) :named @p_684))) :rule cong :premises (t322.t2))
+(step t322.t4 (cl (= @p_684 false)) :rule not_simplify)
+(step t322.t5 (cl (= @p_683 false)) :rule trans :premises (t322.t3 t322.t4))
+(step t322.t6 (cl (= @p_678 (! (or false @p_681) :named @p_685))) :rule cong :premises (t322.t5))
+(step t322.t7 (cl (= @p_685 (! (or @p_681) :named @p_686))) :rule or_simplify)
+(step t322.t8 (cl (= @p_686 @p_681)) :rule or_simplify)
+(step t322.t9 (cl (! (= @p_678 @p_681) :named @p_687)) :rule trans :premises (t322.t6 t322.t7 t322.t8))
+(step t322.t10 (cl (not @p_687) @p_680 @p_681) :rule equiv_pos2)
+(step t322.t11 (cl @p_681) :rule th_resolution :premises (t322.h1 t322.t9 t322.t10))
+(step t322 (cl @p_680 @p_681) :rule subproof :discharge (h1))
+(step t323 (cl @p_431 @p_678) :rule or :premises (t321))
+(step t324 (cl (! (or @p_431 @p_681) :named @p_688) @p_468) :rule or_neg)
+(step t325 (cl @p_688 @p_170) :rule th_resolution :premises (t128 t324))
+(step t326 (cl @p_688 (! (not @p_681) :named @p_693)) :rule or_neg)
+(step t327 (cl @p_688) :rule th_resolution :premises (t323 t322 t325 t326))
+(step t328 (cl @p_431 @p_681) :rule or :premises (t327))
+(step t329 (cl @p_681) :rule resolution :premises (t328 t56))
+(step t330 (cl (not @p_598) (! (not @p_566) :named @p_689) (! (= @p_470 @p_676) :named @p_690)) :rule eq_transitive)
+(step t331 (cl @p_689 @p_690 @p_595) :rule th_resolution :premises (t330 t237))
+(step t332 (cl (not @p_690) (! (= @p_650 @p_691) :named @p_692)) :rule eq_congruent)
+(step t333 (cl @p_692 @p_689 @p_595) :rule th_resolution :premises (t332 t331))
+(step t334 (cl @p_661 (not @p_692) @p_693 (! (= st$ @p_561) :named @p_694)) :rule eq_transitive)
+(step t335 (cl @p_661 @p_693 @p_694 @p_689 @p_595) :rule th_resolution :premises (t334 t333))
+(step t336 (cl (! (not @p_694) :named @p_702) (! (= @p_318 @p_575) :named @p_695)) :rule eq_congruent)
+(step t337 (cl @p_695 @p_661 @p_693 @p_689 @p_595) :rule th_resolution :premises (t336 t335))
+(step t338 (cl (! (not @p_695) :named @p_704) (! (not @p_647) :named @p_697) @p_696 (! (not (! (= @p_540 @p_641) :named @p_700)) :named @p_698) @p_668 @p_662) :rule eq_transitive)
+(step t339 (cl @p_697 @p_696 @p_698 @p_668 @p_662 @p_661 @p_693 @p_689 @p_595) :rule th_resolution :premises (t338 t337))
+(step t340 (cl (! (not (! (= @p_656 @p_631) :named @p_703)) :named @p_701) @p_699 @p_700) :rule eq_congruent)
+(step t341 (cl @p_701 @p_700) :rule th_resolution :premises (t340 t290))
+(step t342 (cl @p_674 @p_702 @p_703) :rule eq_congruent)
+(step t343 (cl @p_702 @p_703) :rule th_resolution :premises (t342 t295))
+(step t344 (cl @p_703 @p_661 @p_693 @p_689 @p_595) :rule th_resolution :premises (t343 t335))
+(step t345 (cl @p_700 @p_661 @p_693 @p_689 @p_595) :rule th_resolution :premises (t341 t344))
+(step t346 (cl @p_697 @p_696 @p_668 @p_662 @p_661 @p_693 @p_689 @p_595 @p_661 @p_693 @p_689 @p_595) :rule th_resolution :premises (t339 t345))
+(step t347 (cl @p_697 @p_696 @p_668 @p_662 @p_661 @p_693 @p_689 @p_595) :rule contraction :premises (t346))
+(step t348 (cl @p_662) :rule resolution :premises (t347 t266 t188 t200 t287 t289 t168 t329))
+(step t349 (cl @p_417) :rule resolution :premises (t315 t348))
+(step t350 (cl @p_416) :rule resolution :premises (t164 t349 t166))
+(step t351 (cl @p_562) :rule resolution :premises (t197 t350))
+(step t352 (cl @p_564) :rule resolution :premises (t195 t351 t198))
+(step t353 (cl (not @p_627) @p_704 (! (not @p_564) :named @p_705) @p_588) :rule eq_congruent_pred)
+(step t354 (cl @p_704 @p_705 @p_588 @p_625 @p_626 @p_413) :rule th_resolution :premises (t353 t261))
+(step t355 (cl @p_705 @p_588 @p_625 @p_626 @p_413 @p_661 @p_693 @p_689 @p_595) :rule th_resolution :premises (t354 t337))
+(step t356 (cl) :rule resolution :premises (t355 t350 t168 t266 t352 t200 t207 t232 t234 t329))