src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra.proof

--- a/src/HOL/Boogie/Examples/cert/Boogie_b_Dijkstra.proof	Thu Nov 05 14:41:37 2009 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,7081 +0,0 @@
-#2 := false
-#55 := 0::int
-decl uf_4 :: (-> T3 T2 int)
-decl ?x40!7 :: (-> T2 T2)
-decl ?x52!15 :: T2
-#2305 := ?x52!15
-#15992 := (?x40!7 ?x52!15)
-decl uf_14 :: T3
-#107 := uf_14
-#15996 := (uf_4 uf_14 #15992)
-#20405 := (>= #15996 0::int)
-#11 := (:var 0 T2)
-#110 := (uf_4 uf_14 #11)
-#4403 := (pattern #110)
-#1843 := (>= #110 0::int)
-#4404 := (forall (vars (?x34 T2)) (:pat #4403) #1843)
-decl uf_10 :: (-> T1 int)
-decl uf_1 :: (-> T2 T2 T1)
-decl ?x66!20 :: T2
-#2511 := ?x66!20
-decl ?x67!19 :: T2
-#2510 := ?x67!19
-#2516 := (uf_1 ?x67!19 ?x66!20)
-#2517 := (uf_10 #2516)
-#1320 := -1::int
-#2524 := (* -1::int #2517)
-decl uf_22 :: T3
-#230 := uf_22
-#2514 := (uf_4 uf_22 ?x67!19)
-#2520 := (* -1::int #2514)
-#3094 := (+ #2520 #2524)
-#2512 := (uf_4 uf_22 ?x66!20)
-#3095 := (+ #2512 #3094)
-#3096 := (<= #3095 0::int)
-decl uf_9 :: int
-#56 := uf_9
-#2525 := (+ uf_9 #2524)
-#2526 := (<= #2525 0::int)
-#2521 := (+ uf_9 #2520)
-#2522 := (<= #2521 0::int)
-#3693 := (or #2522 #2526 #3096)
-#3698 := (not #3693)
-#10 := (:var 1 T2)
-#90 := (uf_1 #11 #10)
-#4379 := (pattern #90)
-#238 := (uf_4 uf_22 #10)
-#1720 := (* -1::int #238)
-#235 := (uf_4 uf_22 #11)
-#1721 := (+ #235 #1720)
-#91 := (uf_10 #90)
-#1727 := (+ #91 #1721)
-#1750 := (>= #1727 0::int)
-#1707 := (* -1::int #235)
-#1708 := (+ uf_9 #1707)
-#1709 := (<= #1708 0::int)
-#1343 := (* -1::int #91)
-#1346 := (+ uf_9 #1343)
-#1347 := (<= #1346 0::int)
-#3661 := (or #1347 #1709 #1750)
-#4633 := (forall (vars (?x66 T2) (?x67 T2)) (:pat #4379) #3661)
-#4638 := (not #4633)
-decl uf_11 :: T2
-#67 := uf_11
-#250 := (uf_4 uf_22 uf_11)
-#251 := (= #250 0::int)
-#4641 := (or #251 #4638)
-#4644 := (not #4641)
-#4647 := (or #4644 #3698)
-#4650 := (not #4647)
-#4609 := (pattern #235)
-decl ?x65!18 :: (-> T2 T2)
-#2487 := (?x65!18 #11)
-#2490 := (uf_1 #2487 #11)
-#2491 := (uf_10 #2490)
-#3064 := (* -1::int #2491)
-#2488 := (uf_4 uf_22 #2487)
-#3047 := (* -1::int #2488)
-#3065 := (+ #3047 #3064)
-#3066 := (+ #235 #3065)
-#3067 := (= #3066 0::int)
-#3631 := (not #3067)
-#3048 := (+ #235 #3047)
-#3049 := (<= #3048 0::int)
-#3632 := (or #3049 #3631)
-#3633 := (not #3632)
-#68 := (= #11 uf_11)
-#3639 := (or #68 #1709 #3633)
-#4625 := (forall (vars (?x64 T2)) (:pat #4609) #3639)
-#4630 := (not #4625)
-#4653 := (or #4630 #4650)
-#4656 := (not #4653)
-decl ?x64!17 :: T2
-#2447 := ?x64!17
-#2451 := (uf_1 #11 ?x64!17)
-#4610 := (pattern #2451)
-#2452 := (uf_10 #2451)
-#2448 := (uf_4 uf_22 ?x64!17)
-#2449 := (* -1::int #2448)
-#3017 := (+ #2449 #2452)
-#3018 := (+ #235 #3017)
-#3021 := (= #3018 0::int)
-#3595 := (not #3021)
-#2450 := (+ #235 #2449)
-#2455 := (>= #2450 0::int)
-#3596 := (or #2455 #3595)
-#4611 := (forall (vars (?x65 T2)) (:pat #4609 #4610) #3596)
-#4616 := (not #4611)
-#2993 := (= uf_11 ?x64!17)
-#2459 := (+ uf_9 #2449)
-#2460 := (<= #2459 0::int)
-#4619 := (or #2460 #2993 #4616)
-#4622 := (not #4619)
-#4659 := (or #4622 #4656)
-#4662 := (not #4659)
-decl uf_6 :: (-> T4 T2 T5)
-decl uf_15 :: T4
-#113 := uf_15
-#116 := (uf_6 uf_15 #11)
-#4445 := (pattern #116)
-#1404 := (* -1::int #110)
-#1405 := (+ uf_9 #1404)
-#1406 := (<= #1405 0::int)
-decl uf_8 :: T5
-#33 := uf_8
-#505 := (= uf_8 #116)
-#3581 := (or #505 #1406)
-#4601 := (forall (vars (?x41 T2)) (:pat #4445 #4403) #3581)
-#4606 := (not #4601)
-#933 := (= uf_14 uf_22)
-#1053 := (not #933)
-decl uf_19 :: T4
-#225 := uf_19
-#930 := (= uf_15 uf_19)
-#1071 := (not #930)
-decl uf_24 :: T3
-#233 := uf_24
-decl uf_23 :: T3
-#232 := uf_23
-#234 := (= uf_23 uf_24)
-#1044 := (not #234)
-decl uf_21 :: T2
-#228 := uf_21
-decl uf_20 :: T2
-#227 := uf_20
-#229 := (= uf_20 uf_21)
-#1062 := (not #229)
-#4665 := (or #1062 #1044 #1071 #1053 #4606 #4662)
-#4668 := (not #4665)
-#2309 := (uf_1 #11 ?x52!15)
-#4514 := (pattern #2309)
-decl uf_18 :: (-> T2 int)
-#158 := (uf_18 #11)
-#4454 := (pattern #158)
-decl uf_17 :: T4
-#149 := uf_17
-#168 := (uf_6 uf_17 #11)
-#4480 := (pattern #168)
-#2310 := (uf_10 #2309)
-#2306 := (uf_18 ?x52!15)
-#2307 := (* -1::int #2306)
-#2917 := (+ #2307 #2310)
-#2918 := (+ #158 #2917)
-#2921 := (= #2918 0::int)
-#3474 := (not #2921)
-#2308 := (+ #158 #2307)
-#2313 := (>= #2308 0::int)
-#630 := (= uf_8 #168)
-#636 := (not #630)
-#3475 := (or #636 #2313 #3474)
-#4515 := (forall (vars (?x53 T2)) (:pat #4480 #4454 #4514) #3475)
-#4520 := (not #4515)
-#180 := (uf_18 #10)
-#1505 := (* -1::int #180)
-#1506 := (+ #158 #1505)
-#1536 := (+ #91 #1506)
-#1534 := (>= #1536 0::int)
-#3466 := (or #636 #1347 #1534)
-#4506 := (forall (vars (?x50 T2) (?x51 T2)) (:pat #4379) #3466)
-#4511 := (not #4506)
-#2893 := (= uf_11 ?x52!15)
-#2317 := (+ uf_9 #2307)
-#2318 := (<= #2317 0::int)
-#4523 := (or #2318 #2893 #4511 #4520)
-#4526 := (not #4523)
-decl ?x50!14 :: T2
-#2275 := ?x50!14
-decl ?x51!13 :: T2
-#2274 := ?x51!13
-#2280 := (uf_1 ?x51!13 ?x50!14)
-#2281 := (uf_10 #2280)
-#2284 := (* -1::int #2281)
-#2278 := (uf_18 ?x51!13)
-#2879 := (* -1::int #2278)
-#2880 := (+ #2879 #2284)
-#2276 := (uf_18 ?x50!14)
-#2881 := (+ #2276 #2880)
-#2882 := (<= #2881 0::int)
-#2288 := (uf_6 uf_17 ?x51!13)
-#2289 := (= uf_8 #2288)
-#3429 := (not #2289)
-#2285 := (+ uf_9 #2284)
-#2286 := (<= #2285 0::int)
-#3444 := (or #2286 #3429 #2882)
-#3449 := (not #3444)
-#4529 := (or #3449 #4526)
-#4532 := (not #4529)
-#4497 := (pattern #158 #180)
-#1504 := (>= #1506 0::int)
-#176 := (uf_6 uf_17 #10)
-#648 := (= uf_8 #176)
-#3406 := (not #648)
-#3421 := (or #630 #3406 #1504)
-#4498 := (forall (vars (?x48 T2) (?x49 T2)) (:pat #4497) #3421)
-#4503 := (not #4498)
-#4535 := (or #4503 #4532)
-#4538 := (not #4535)
-decl ?x49!11 :: T2
-#2247 := ?x49!11
-#2251 := (uf_18 ?x49!11)
-#2853 := (* -1::int #2251)
-decl ?x48!12 :: T2
-#2248 := ?x48!12
-#2249 := (uf_18 ?x48!12)
-#2854 := (+ #2249 #2853)
-#2855 := (<= #2854 0::int)
-#2256 := (uf_6 uf_17 ?x49!11)
-#2257 := (= uf_8 #2256)
-#2254 := (uf_6 uf_17 ?x48!12)
-#2255 := (= uf_8 #2254)
-#3383 := (not #2255)
-#3398 := (or #3383 #2257 #2855)
-#3403 := (not #3398)
-#4541 := (or #3403 #4538)
-#4544 := (not #4541)
-#1495 := (>= #158 0::int)
-#4489 := (forall (vars (?x47 T2)) (:pat #4454) #1495)
-#4494 := (not #4489)
-#4547 := (or #4494 #4544)
-#4550 := (not #4547)
-decl ?x47!10 :: T2
-#2232 := ?x47!10
-#2233 := (uf_18 ?x47!10)
-#2234 := (>= #2233 0::int)
-#2235 := (not #2234)
-#4553 := (or #2235 #4550)
-#4556 := (not #4553)
-#172 := (uf_18 uf_11)
-#173 := (= #172 0::int)
-#1492 := (not #173)
-#4559 := (or #1492 #4556)
-#4562 := (not #4559)
-#4565 := (or #1492 #4562)
-#4568 := (not #4565)
-#616 := (= #110 #158)
-#637 := (or #616 #636)
-#4481 := (forall (vars (?x46 T2)) (:pat #4403 #4454 #4480) #637)
-#4486 := (not #4481)
-#4571 := (or #4486 #4568)
-#4574 := (not #4571)
-decl ?x46!9 :: T2
-#2207 := ?x46!9
-#2212 := (uf_4 uf_14 ?x46!9)
-#2211 := (uf_18 ?x46!9)
-#2825 := (= #2211 #2212)
-#2208 := (uf_6 uf_17 ?x46!9)
-#2209 := (= uf_8 #2208)
-#2210 := (not #2209)
-#2831 := (or #2210 #2825)
-#2836 := (not #2831)
-#4577 := (or #2836 #4574)
-#4580 := (not #4577)
-#1480 := (* -1::int #158)
-#1481 := (+ #110 #1480)
-#1479 := (>= #1481 0::int)
-#4472 := (forall (vars (?x45 T2)) (:pat #4403 #4454) #1479)
-#4477 := (not #4472)
-#4583 := (or #4477 #4580)
-#4586 := (not #4583)
-decl ?x45!8 :: T2
-#2189 := ?x45!8
-#2192 := (uf_4 uf_14 ?x45!8)
-#2815 := (* -1::int #2192)
-#2190 := (uf_18 ?x45!8)
-#2816 := (+ #2190 #2815)
-#2817 := (<= #2816 0::int)
-#2822 := (not #2817)
-#4589 := (or #2822 #4586)
-#4592 := (not #4589)
-decl uf_16 :: T2
-#140 := uf_16
-#152 := (uf_1 uf_16 #11)
-#4455 := (pattern #152)
-#153 := (uf_10 #152)
-#1623 := (+ #153 #1480)
-#144 := (uf_4 uf_14 uf_16)
-#1624 := (+ #144 #1623)
-#1625 := (= #1624 0::int)
-#1450 := (* -1::int #153)
-#1457 := (+ uf_9 #1450)
-#1458 := (<= #1457 0::int)
-#1449 := (* -1::int #144)
-#1451 := (+ #1449 #1450)
-#1452 := (+ #110 #1451)
-#1453 := (<= #1452 0::int)
-#3375 := (or #1453 #1458 #1625)
-#4464 := (forall (vars (?x43 T2)) (:pat #4403 #4455 #4454) #3375)
-#4469 := (not #4464)
-#3355 := (or #1453 #1458)
-#3356 := (not #3355)
-#3359 := (or #616 #3356)
-#4456 := (forall (vars (?x44 T2)) (:pat #4403 #4454 #4455) #3359)
-#4461 := (not #4456)
-decl ?x41!16 :: T2
-#2408 := ?x41!16
-#2414 := (uf_6 uf_15 ?x41!16)
-#2415 := (= uf_8 #2414)
-#2409 := (uf_4 uf_14 ?x41!16)
-#2410 := (* -1::int #2409)
-#2411 := (+ uf_9 #2410)
-#2412 := (<= #2411 0::int)
-#1655 := (+ uf_9 #1449)
-#1656 := (<= #1655 0::int)
-#1638 := (+ #110 #1449)
-#1637 := (>= #1638 0::int)
-#1644 := (or #505 #1637)
-#4446 := (forall (vars (?x42 T2)) (:pat #4445 #4403) #1644)
-#4451 := (not #4446)
-#141 := (uf_6 uf_15 uf_16)
-#585 := (= uf_8 #141)
-decl uf_7 :: (-> T4 T2 T5 T4)
-#150 := (uf_7 uf_15 uf_16 uf_8)
-#151 := (= uf_17 #150)
-#876 := (not #151)
-#4595 := (or #876 #585 #4451 #1656 #2412 #2415 #4461 #4469 #4592)
-#4598 := (not #4595)
-#4671 := (or #4598 #4668)
-#4674 := (not #4671)
-#2152 := (?x40!7 #11)
-#2155 := (uf_1 #2152 #11)
-#2156 := (uf_10 #2155)
-#2790 := (* -1::int #2156)
-#2153 := (uf_4 uf_14 #2152)
-#2773 := (* -1::int #2153)
-#2791 := (+ #2773 #2790)
-#2792 := (+ #110 #2791)
-#2793 := (= #2792 0::int)
-#3339 := (not #2793)
-#2774 := (+ #110 #2773)
-#2775 := (<= #2774 0::int)
-#2161 := (uf_6 uf_15 #2152)
-#2162 := (= uf_8 #2161)
-#3338 := (not #2162)
-#3340 := (or #3338 #2775 #3339)
-#3341 := (not #3340)
-#3347 := (or #68 #1406 #3341)
-#4437 := (forall (vars (?x39 T2)) (:pat #4403) #3347)
-#4442 := (not #4437)
-decl uf_12 :: (-> T2 int)
-#69 := (uf_12 #11)
-#4355 := (pattern #69)
-decl ?x33!6 :: (-> T2 T2)
-#2123 := (?x33!6 #11)
-#2127 := (uf_12 #2123)
-#2728 := (* -1::int #2127)
-#2124 := (uf_1 #2123 #11)
-#2125 := (uf_10 #2124)
-#2745 := (* -1::int #2125)
-#2746 := (+ #2745 #2728)
-#2747 := (+ #69 #2746)
-#2748 := (= #2747 0::int)
-#3311 := (not #2748)
-#2729 := (+ #69 #2728)
-#2730 := (<= #2729 0::int)
-decl up_13 :: (-> T2 bool)
-#2133 := (up_13 #2123)
-#3310 := (not #2133)
-#3312 := (or #3310 #2730 #3311)
-#3313 := (not #3312)
-#1386 := (* -1::int #69)
-#1387 := (+ uf_9 #1386)
-#1388 := (<= #1387 0::int)
-#3319 := (or #68 #1388 #3313)
-#4429 := (forall (vars (?x32 T2)) (:pat #4355) #3319)
-#4434 := (not #4429)
-#114 := (uf_6 uf_15 #10)
-#4420 := (pattern #114 #116)
-#120 := (uf_4 uf_14 #10)
-#1417 := (* -1::int #120)
-#1418 := (+ #110 #1417)
-#1416 := (>= #1418 0::int)
-#502 := (= uf_8 #114)
-#3276 := (not #502)
-#3291 := (or #3276 #505 #1416)
-#4421 := (forall (vars (?x35 T2) (?x36 T2)) (:pat #4420) #3291)
-#4426 := (not #4421)
-#1424 := (+ #91 #1418)
-#1815 := (>= #1424 0::int)
-#508 := (not #505)
-#3268 := (or #508 #1347 #1815)
-#4412 := (forall (vars (?x37 T2) (?x38 T2)) (:pat #4379) #3268)
-#4417 := (not #4412)
-#4409 := (not #4404)
-#108 := (uf_4 uf_14 uf_11)
-#109 := (= #108 0::int)
-#1854 := (not #109)
-#4677 := (or #1854 #4409 #4417 #4426 #4434 #4442 #4674)
-#4680 := (not #4677)
-decl ?x32!5 :: T2
-#2081 := ?x32!5
-#2091 := (uf_1 #11 ?x32!5)
-#4388 := (pattern #2091)
-#77 := (up_13 #11)
-#4348 := (pattern #77)
-#2082 := (uf_12 ?x32!5)
-#2083 := (* -1::int #2082)
-#2096 := (+ #69 #2083)
-#2097 := (>= #2096 0::int)
-#2092 := (uf_10 #2091)
-#2093 := (+ #2083 #2092)
-#2094 := (+ #69 #2093)
-#2095 := (= #2094 0::int)
-#3229 := (not #2095)
-#78 := (not #77)
-#3230 := (or #78 #3229 #2097)
-#4389 := (forall (vars (?x33 T2)) (:pat #4348 #4355 #4388) #3230)
-#4394 := (not #4389)
-#2688 := (= uf_11 ?x32!5)
-#2084 := (+ uf_9 #2083)
-#2085 := (<= #2084 0::int)
-#4397 := (or #2085 #2688 #4394)
-#4400 := (not #4397)
-#4683 := (or #4400 #4680)
-#4686 := (not #4683)
-#86 := (uf_12 #10)
-#1323 := (* -1::int #86)
-#1344 := (+ #1323 #91)
-#1345 := (+ #69 #1344)
-#1342 := (>= #1345 0::int)
-#3221 := (or #78 #1342 #1347)
-#4380 := (forall (vars (?x30 T2) (?x31 T2)) (:pat #4379) #3221)
-#4385 := (not #4380)
-#4689 := (or #4385 #4686)
-#4692 := (not #4689)
-decl ?x31!3 :: T2
-#2051 := ?x31!3
-#2065 := (uf_12 ?x31!3)
-decl ?x30!4 :: T2
-#2052 := ?x30!4
-#2062 := (uf_12 ?x30!4)
-#2063 := (* -1::int #2062)
-#2660 := (+ #2063 #2065)
-#2053 := (uf_1 ?x31!3 ?x30!4)
-#2054 := (uf_10 #2053)
-#2661 := (+ #2054 #2660)
-#2664 := (>= #2661 0::int)
-#2059 := (up_13 ?x31!3)
-#3184 := (not #2059)
-#2055 := (* -1::int #2054)
-#2056 := (+ uf_9 #2055)
-#2057 := (<= #2056 0::int)
-#3199 := (or #2057 #3184 #2664)
-#3204 := (not #3199)
-#4695 := (or #3204 #4692)
-#4698 := (not #4695)
-#84 := (up_13 #10)
-#4370 := (pattern #77 #84)
-#1324 := (+ #69 #1323)
-#1322 := (>= #1324 0::int)
-#2632 := (not #84)
-#3176 := (or #77 #2632 #1322)
-#4371 := (forall (vars (?x28 T2) (?x29 T2)) (:pat #4370) #3176)
-#4376 := (not #4371)
-#4701 := (or #4376 #4698)
-#4704 := (not #4701)
-decl ?x29!1 :: T2
-#2026 := ?x29!1
-#2030 := (uf_12 ?x29!1)
-#2647 := (* -1::int #2030)
-decl ?x28!2 :: T2
-#2027 := ?x28!2
-#2028 := (uf_12 ?x28!2)
-#2648 := (+ #2028 #2647)
-#2649 := (<= #2648 0::int)
-#2034 := (up_13 ?x29!1)
-#2033 := (up_13 ?x28!2)
-#2266 := (not #2033)
-#2166 := (or #2266 #2034 #2649)
-#6004 := [hypothesis]: #2033
-#4349 := (forall (vars (?x26 T2)) (:pat #4348) #78)
-#79 := (forall (vars (?x26 T2)) #78)
-#4352 := (iff #79 #4349)
-#4350 := (iff #78 #78)
-#4351 := [refl]: #4350
-#4353 := [quant-intro #4351]: #4352
-#1965 := (~ #79 #79)
-#2002 := (~ #78 #78)
-#2003 := [refl]: #2002
-#1966 := [nnf-pos #2003]: #1965
-#70 := (= #69 0::int)
-#73 := (not #68)
-#1912 := (or #73 #70)
-#1915 := (forall (vars (?x24 T2)) #1912)
-#1918 := (not #1915)
-#1846 := (forall (vars (?x34 T2)) #1843)
-#1849 := (not #1846)
-#511 := (and #502 #508)
-#517 := (not #511)
-#1832 := (or #517 #1416)
-#1837 := (forall (vars (?x35 T2) (?x36 T2)) #1832)
-#1840 := (not #1837)
-#1348 := (not #1347)
-#1807 := (and #505 #1348)
-#1812 := (not #1807)
-#1818 := (or #1812 #1815)
-#1821 := (forall (vars (?x37 T2) (?x38 T2)) #1818)
-#1824 := (not #1821)
-#1710 := (not #1709)
-#1744 := (and #1348 #1710)
-#1747 := (not #1744)
-#1753 := (or #1747 #1750)
-#1756 := (forall (vars (?x66 T2) (?x67 T2)) #1753)
-#1759 := (not #1756)
-#1767 := (or #251 #1759)
-#1772 := (and #1756 #1767)
-#1725 := (= #1727 0::int)
-#1719 := (>= #1721 0::int)
-#1722 := (not #1719)
-#1729 := (and #1722 #1725)
-#1732 := (exists (vars (?x65 T2)) #1729)
-#1713 := (and #73 #1710)
-#1716 := (not #1713)
-#1735 := (or #1716 #1732)
-#1738 := (forall (vars (?x64 T2)) #1735)
-#1741 := (not #1738)
-#1775 := (or #1741 #1772)
-#1778 := (and #1738 #1775)
-#1407 := (not #1406)
-#1670 := (and #508 #1407)
-#1675 := (exists (vars (?x41 T2)) #1670)
-#1796 := (or #1062 #1044 #1071 #1053 #1675 #1778)
-#1678 := (not #1675)
-#1649 := (forall (vars (?x42 T2)) #1644)
-#1652 := (not #1649)
-#1459 := (not #1458)
-#1454 := (not #1453)
-#1462 := (and #1454 #1459)
-#1620 := (not #1462)
-#1628 := (or #1620 #1625)
-#1631 := (forall (vars (?x43 T2)) #1628)
-#1634 := (not #1631)
-#1561 := (= #1536 0::int)
-#1558 := (not #1504)
-#1570 := (and #630 #1558 #1561)
-#1575 := (exists (vars (?x53 T2)) #1570)
-#1547 := (+ uf_9 #1480)
-#1548 := (<= #1547 0::int)
-#1549 := (not #1548)
-#1552 := (and #73 #1549)
-#1555 := (not #1552)
-#1578 := (or #1555 #1575)
-#1581 := (forall (vars (?x52 T2)) #1578)
-#1526 := (and #630 #1348)
-#1531 := (not #1526)
-#1538 := (or #1531 #1534)
-#1541 := (forall (vars (?x50 T2) (?x51 T2)) #1538)
-#1544 := (not #1541)
-#1584 := (or #1544 #1581)
-#1587 := (and #1541 #1584)
-#656 := (and #636 #648)
-#664 := (not #656)
-#1512 := (or #664 #1504)
-#1517 := (forall (vars (?x48 T2) (?x49 T2)) #1512)
-#1520 := (not #1517)
-#1590 := (or #1520 #1587)
-#1593 := (and #1517 #1590)
-#1498 := (forall (vars (?x47 T2)) #1495)
-#1501 := (not #1498)
-#1596 := (or #1501 #1593)
-#1599 := (and #1498 #1596)
-#1602 := (or #1492 #1599)
-#1605 := (and #173 #1602)
-#642 := (forall (vars (?x46 T2)) #637)
-#824 := (not #642)
-#1608 := (or #824 #1605)
-#1611 := (and #642 #1608)
-#1484 := (forall (vars (?x45 T2)) #1479)
-#1487 := (not #1484)
-#1614 := (or #1487 #1611)
-#1617 := (and #1484 #1614)
-#1468 := (or #616 #1462)
-#1473 := (forall (vars (?x44 T2)) #1468)
-#1476 := (not #1473)
-#1702 := (or #876 #585 #1476 #1617 #1634 #1652 #1656 #1678)
-#1801 := (and #1702 #1796)
-#1422 := (= #1424 0::int)
-#1419 := (not #1416)
-#1432 := (and #505 #1419 #1422)
-#1437 := (exists (vars (?x40 T2)) #1432)
-#1410 := (and #73 #1407)
-#1413 := (not #1410)
-#1440 := (or #1413 #1437)
-#1443 := (forall (vars (?x39 T2)) #1440)
-#1446 := (not #1443)
-#1389 := (not #1388)
-#1392 := (and #73 #1389)
-#1395 := (not #1392)
-#1370 := (= #1345 0::int)
-#1366 := (not #1322)
-#1378 := (and #77 #1366 #1370)
-#1383 := (exists (vars (?x33 T2)) #1378)
-#1398 := (or #1383 #1395)
-#1401 := (forall (vars (?x32 T2)) #1398)
-#1857 := (not #1401)
-#1878 := (or #1854 #1857 #1446 #1801 #1824 #1840 #1849)
-#1883 := (and #1401 #1878)
-#1351 := (and #77 #1348)
-#1354 := (not #1351)
-#1357 := (or #1342 #1354)
-#1360 := (forall (vars (?x30 T2) (?x31 T2)) #1357)
-#1363 := (not #1360)
-#1886 := (or #1363 #1883)
-#1889 := (and #1360 #1886)
-#454 := (and #78 #84)
-#460 := (not #454)
-#1329 := (or #460 #1322)
-#1334 := (forall (vars (?x28 T2) (?x29 T2)) #1329)
-#1337 := (not #1334)
-#1892 := (or #1337 #1889)
-#1895 := (and #1334 #1892)
-#1313 := (>= #69 0::int)
-#1314 := (forall (vars (?x27 T2)) #1313)
-#1317 := (not #1314)
-#1898 := (or #1317 #1895)
-#1901 := (and #1314 #1898)
-#80 := (uf_12 uf_11)
-#81 := (= #80 0::int)
-#1308 := (not #81)
-#1904 := (or #1308 #1901)
-#1907 := (and #81 #1904)
-#437 := (= uf_9 #69)
-#443 := (or #68 #437)
-#448 := (forall (vars (?x25 T2)) #443)
-#1277 := (not #448)
-#1268 := (not #79)
-#1930 := (or #1268 #1277 #1907 #1918)
-#1935 := (not #1930)
-#82 := (<= 0::int #69)
-#83 := (forall (vars (?x27 T2)) #82)
-#87 := (<= #86 #69)
-#85 := (and #84 #78)
-#88 := (implies #85 #87)
-#89 := (forall (vars (?x28 T2) (?x29 T2)) #88)
-#94 := (+ #69 #91)
-#95 := (<= #86 #94)
-#92 := (< #91 uf_9)
-#93 := (and #92 #77)
-#96 := (implies #93 #95)
-#97 := (forall (vars (?x30 T2) (?x31 T2)) #96)
-#101 := (< #69 #86)
-#102 := (and #77 #101)
-#100 := (= #86 #94)
-#103 := (and #100 #102)
-#104 := (exists (vars (?x33 T2)) #103)
-#98 := (< #69 uf_9)
-#99 := (and #98 #73)
-#105 := (implies #99 #104)
-#106 := (forall (vars (?x32 T2)) #105)
-#241 := (< #235 #238)
-#239 := (+ #235 #91)
-#240 := (= #238 #239)
-#242 := (and #240 #241)
-#243 := (exists (vars (?x65 T2)) #242)
-#236 := (< #235 uf_9)
-#237 := (and #236 #73)
-#244 := (implies #237 #243)
-#245 := (forall (vars (?x64 T2)) #244)
-#247 := (<= #238 #239)
-#246 := (and #92 #236)
-#248 := (implies #246 #247)
-#249 := (forall (vars (?x66 T2) (?x67 T2)) #248)
-#1 := true
-#252 := (implies #251 true)
-#253 := (and #252 #251)
-#254 := (implies #249 #253)
-#255 := (and #254 #249)
-#256 := (implies #245 #255)
-#257 := (and #256 #245)
-#258 := (implies true #257)
-#259 := (implies #234 #258)
-#231 := (= uf_22 uf_14)
-#260 := (implies #231 #259)
-#261 := (implies #229 #260)
-#226 := (= uf_19 uf_15)
-#262 := (implies #226 #261)
-#263 := (implies true #262)
-#264 := (implies true #263)
-#117 := (= #116 uf_8)
-#118 := (not #117)
-#129 := (< #110 uf_9)
-#138 := (and #129 #118)
-#139 := (exists (vars (?x41 T2)) #138)
-#224 := (not #139)
-#265 := (implies #224 #264)
-#266 := (implies true #265)
-#267 := (implies true #266)
-#166 := (<= #158 #110)
-#167 := (forall (vars (?x45 T2)) #166)
-#163 := (= #158 #110)
-#169 := (= #168 uf_8)
-#170 := (implies #169 #163)
-#171 := (forall (vars (?x46 T2)) #170)
-#174 := (<= 0::int #158)
-#175 := (forall (vars (?x47 T2)) #174)
-#181 := (<= #180 #158)
-#178 := (not #169)
-#177 := (= #176 uf_8)
-#179 := (and #177 #178)
-#182 := (implies #179 #181)
-#183 := (forall (vars (?x48 T2) (?x49 T2)) #182)
-#185 := (+ #158 #91)
-#186 := (<= #180 #185)
-#184 := (and #92 #169)
-#187 := (implies #184 #186)
-#188 := (forall (vars (?x50 T2) (?x51 T2)) #187)
-#192 := (< #158 #180)
-#193 := (and #169 #192)
-#191 := (= #180 #185)
-#194 := (and #191 #193)
-#195 := (exists (vars (?x53 T2)) #194)
-#189 := (< #158 uf_9)
-#190 := (and #189 #73)
-#196 := (implies #190 #195)
-#197 := (forall (vars (?x52 T2)) #196)
-#198 := (implies false true)
-#199 := (implies #197 #198)
-#200 := (and #199 #197)
-#201 := (implies #188 #200)
-#202 := (and #201 #188)
-#203 := (implies #183 #202)
-#204 := (and #203 #183)
-#205 := (implies #175 #204)
-#206 := (and #205 #175)
-#207 := (implies #173 #206)
-#208 := (and #207 #173)
-#209 := (implies true #208)
-#210 := (implies true #209)
-#211 := (implies #171 #210)
-#212 := (and #211 #171)
-#213 := (implies #167 #212)
-#214 := (and #213 #167)
-#156 := (< #153 uf_9)
-#154 := (+ #144 #153)
-#155 := (< #154 #110)
-#157 := (and #155 #156)
-#162 := (not #157)
-#164 := (implies #162 #163)
-#165 := (forall (vars (?x44 T2)) #164)
-#215 := (implies #165 #214)
-#159 := (= #158 #154)
-#160 := (implies #157 #159)
-#161 := (forall (vars (?x43 T2)) #160)
-#216 := (implies #161 #215)
-#217 := (implies #151 #216)
-#146 := (<= #144 #110)
-#147 := (implies #118 #146)
-#148 := (forall (vars (?x42 T2)) #147)
-#218 := (implies #148 #217)
-#145 := (< #144 uf_9)
-#219 := (implies #145 #218)
-#142 := (= #141 uf_8)
-#143 := (not #142)
-#220 := (implies #143 #219)
-#221 := (implies #139 #220)
-#222 := (implies true #221)
-#223 := (implies true #222)
-#268 := (and #223 #267)
-#269 := (implies true #268)
-#132 := (< #110 #120)
-#133 := (and #117 #132)
-#125 := (+ #110 #91)
-#131 := (= #120 #125)
-#134 := (and #131 #133)
-#135 := (exists (vars (?x40 T2)) #134)
-#130 := (and #129 #73)
-#136 := (implies #130 #135)
-#137 := (forall (vars (?x39 T2)) #136)
-#270 := (implies #137 #269)
-#126 := (<= #120 #125)
-#124 := (and #92 #117)
-#127 := (implies #124 #126)
-#128 := (forall (vars (?x37 T2) (?x38 T2)) #127)
-#271 := (implies #128 #270)
-#121 := (<= #120 #110)
-#115 := (= #114 uf_8)
-#119 := (and #115 #118)
-#122 := (implies #119 #121)
-#123 := (forall (vars (?x35 T2) (?x36 T2)) #122)
-#272 := (implies #123 #271)
-#111 := (<= 0::int #110)
-#112 := (forall (vars (?x34 T2)) #111)
-#273 := (implies #112 #272)
-#274 := (implies #109 #273)
-#275 := (implies true #274)
-#276 := (implies true #275)
-#277 := (implies #106 #276)
-#278 := (and #277 #106)
-#279 := (implies #97 #278)
-#280 := (and #279 #97)
-#281 := (implies #89 #280)
-#282 := (and #281 #89)
-#283 := (implies #83 #282)
-#284 := (and #283 #83)
-#285 := (implies #81 #284)
-#286 := (and #285 #81)
-#287 := (implies true #286)
-#288 := (implies #79 #287)
-#74 := (= #69 uf_9)
-#75 := (implies #73 #74)
-#76 := (forall (vars (?x25 T2)) #75)
-#289 := (implies #76 #288)
-#71 := (implies #68 #70)
-#72 := (forall (vars (?x24 T2)) #71)
-#290 := (implies #72 #289)
-#291 := (implies true #290)
-#292 := (implies true #291)
-#293 := (not #292)
-#1938 := (iff #293 #1935)
-#983 := (= 0::int #250)
-#939 := (+ #91 #235)
-#968 := (<= #238 #939)
-#974 := (not #246)
-#975 := (or #974 #968)
-#980 := (forall (vars (?x66 T2) (?x67 T2)) #975)
-#1003 := (not #980)
-#1004 := (or #1003 #983)
-#1012 := (and #980 #1004)
-#942 := (= #238 #939)
-#948 := (and #241 #942)
-#953 := (exists (vars (?x65 T2)) #948)
-#936 := (and #73 #236)
-#959 := (not #936)
-#960 := (or #959 #953)
-#965 := (forall (vars (?x64 T2)) #960)
-#1020 := (not #965)
-#1021 := (or #1020 #1012)
-#1029 := (and #965 #1021)
-#1045 := (or #1044 #1029)
-#1054 := (or #1053 #1045)
-#1063 := (or #1062 #1054)
-#1072 := (or #1071 #1063)
-#579 := (and #129 #508)
-#582 := (exists (vars (?x41 T2)) #579)
-#1091 := (or #582 #1072)
-#703 := (and #192 #630)
-#676 := (+ #91 #158)
-#697 := (= #180 #676)
-#708 := (and #697 #703)
-#711 := (exists (vars (?x53 T2)) #708)
-#694 := (and #73 #189)
-#717 := (not #694)
-#718 := (or #717 #711)
-#723 := (forall (vars (?x52 T2)) #718)
-#679 := (<= #180 #676)
-#673 := (and #92 #630)
-#685 := (not #673)
-#686 := (or #685 #679)
-#691 := (forall (vars (?x50 T2) (?x51 T2)) #686)
-#745 := (not #691)
-#746 := (or #745 #723)
-#754 := (and #691 #746)
-#665 := (or #181 #664)
-#670 := (forall (vars (?x48 T2) (?x49 T2)) #665)
-#762 := (not #670)
-#763 := (or #762 #754)
-#771 := (and #670 #763)
-#779 := (not #175)
-#780 := (or #779 #771)
-#788 := (and #175 #780)
-#645 := (= 0::int #172)
-#796 := (not #645)
-#797 := (or #796 #788)
-#805 := (and #645 #797)
-#825 := (or #824 #805)
-#833 := (and #642 #825)
-#841 := (not #167)
-#842 := (or #841 #833)
-#850 := (and #167 #842)
-#622 := (or #157 #616)
-#627 := (forall (vars (?x44 T2)) #622)
-#858 := (not #627)
-#859 := (or #858 #850)
-#602 := (= #154 #158)
-#608 := (or #162 #602)
-#613 := (forall (vars (?x43 T2)) #608)
-#867 := (not #613)
-#868 := (or #867 #859)
-#877 := (or #876 #868)
-#594 := (or #146 #505)
-#599 := (forall (vars (?x42 T2)) #594)
-#885 := (not #599)
-#886 := (or #885 #877)
-#894 := (not #145)
-#895 := (or #894 #886)
-#903 := (or #585 #895)
-#911 := (not #582)
-#912 := (or #911 #903)
-#1107 := (and #912 #1091)
-#556 := (and #132 #505)
-#529 := (+ #91 #110)
-#550 := (= #120 #529)
-#561 := (and #550 #556)
-#564 := (exists (vars (?x40 T2)) #561)
-#547 := (and #73 #129)
-#570 := (not #547)
-#571 := (or #570 #564)
-#576 := (forall (vars (?x39 T2)) #571)
-#1120 := (not #576)
-#1121 := (or #1120 #1107)
-#532 := (<= #120 #529)
-#526 := (and #92 #505)
-#538 := (not #526)
-#539 := (or #538 #532)
-#544 := (forall (vars (?x37 T2) (?x38 T2)) #539)
-#1129 := (not #544)
-#1130 := (or #1129 #1121)
-#518 := (or #121 #517)
-#523 := (forall (vars (?x35 T2) (?x36 T2)) #518)
-#1138 := (not #523)
-#1139 := (or #1138 #1130)
-#1147 := (not #112)
-#1148 := (or #1147 #1139)
-#499 := (= 0::int #108)
-#1156 := (not #499)
-#1157 := (or #1156 #1148)
-#484 := (and #73 #98)
-#490 := (not #484)
-#491 := (or #104 #490)
-#496 := (forall (vars (?x32 T2)) #491)
-#1176 := (not #496)
-#1177 := (or #1176 #1157)
-#1185 := (and #496 #1177)
-#469 := (and #77 #92)
-#475 := (not #469)
-#476 := (or #95 #475)
-#481 := (forall (vars (?x30 T2) (?x31 T2)) #476)
-#1193 := (not #481)
-#1194 := (or #1193 #1185)
-#1202 := (and #481 #1194)
-#461 := (or #87 #460)
-#466 := (forall (vars (?x28 T2) (?x29 T2)) #461)
-#1210 := (not #466)
-#1211 := (or #1210 #1202)
-#1219 := (and #466 #1211)
-#1227 := (not #83)
-#1228 := (or #1227 #1219)
-#1236 := (and #83 #1228)
-#451 := (= 0::int #80)
-#1244 := (not #451)
-#1245 := (or #1244 #1236)
-#1253 := (and #451 #1245)
-#1269 := (or #1268 #1253)
-#1278 := (or #1277 #1269)
-#423 := (= 0::int #69)
-#429 := (or #73 #423)
-#434 := (forall (vars (?x24 T2)) #429)
-#1286 := (not #434)
-#1287 := (or #1286 #1278)
-#1303 := (not #1287)
-#1936 := (iff #1303 #1935)
-#1933 := (iff #1287 #1930)
-#1921 := (or #1268 #1907)
-#1924 := (or #1277 #1921)
-#1927 := (or #1918 #1924)
-#1931 := (iff #1927 #1930)
-#1932 := [rewrite]: #1931
-#1928 := (iff #1287 #1927)
-#1925 := (iff #1278 #1924)
-#1922 := (iff #1269 #1921)
-#1908 := (iff #1253 #1907)
-#1905 := (iff #1245 #1904)
-#1902 := (iff #1236 #1901)
-#1899 := (iff #1228 #1898)
-#1896 := (iff #1219 #1895)
-#1893 := (iff #1211 #1892)
-#1890 := (iff #1202 #1889)
-#1887 := (iff #1194 #1886)
-#1884 := (iff #1185 #1883)
-#1881 := (iff #1177 #1878)
-#1860 := (or #1446 #1801)
-#1863 := (or #1824 #1860)
-#1866 := (or #1840 #1863)
-#1869 := (or #1849 #1866)
-#1872 := (or #1854 #1869)
-#1875 := (or #1857 #1872)
-#1879 := (iff #1875 #1878)
-#1880 := [rewrite]: #1879
-#1876 := (iff #1177 #1875)
-#1873 := (iff #1157 #1872)
-#1870 := (iff #1148 #1869)
-#1867 := (iff #1139 #1866)
-#1864 := (iff #1130 #1863)
-#1861 := (iff #1121 #1860)
-#1802 := (iff #1107 #1801)
-#1799 := (iff #1091 #1796)
-#1781 := (or #1044 #1778)
-#1784 := (or #1053 #1781)
-#1787 := (or #1062 #1784)
-#1790 := (or #1071 #1787)
-#1793 := (or #1675 #1790)
-#1797 := (iff #1793 #1796)
-#1798 := [rewrite]: #1797
-#1794 := (iff #1091 #1793)
-#1791 := (iff #1072 #1790)
-#1788 := (iff #1063 #1787)
-#1785 := (iff #1054 #1784)
-#1782 := (iff #1045 #1781)
-#1779 := (iff #1029 #1778)
-#1776 := (iff #1021 #1775)
-#1773 := (iff #1012 #1772)
-#1770 := (iff #1004 #1767)
-#1764 := (or #1759 #251)
-#1768 := (iff #1764 #1767)
-#1769 := [rewrite]: #1768
-#1765 := (iff #1004 #1764)
-#1762 := (iff #983 #251)
-#1763 := [rewrite]: #1762
-#1760 := (iff #1003 #1759)
-#1757 := (iff #980 #1756)
-#1754 := (iff #975 #1753)
-#1751 := (iff #968 #1750)
-#1752 := [rewrite]: #1751
-#1748 := (iff #974 #1747)
-#1745 := (iff #246 #1744)
-#1711 := (iff #236 #1710)
-#1712 := [rewrite]: #1711
-#1349 := (iff #92 #1348)
-#1350 := [rewrite]: #1349
-#1746 := [monotonicity #1350 #1712]: #1745
-#1749 := [monotonicity #1746]: #1748
-#1755 := [monotonicity #1749 #1752]: #1754
-#1758 := [quant-intro #1755]: #1757
-#1761 := [monotonicity #1758]: #1760
-#1766 := [monotonicity #1761 #1763]: #1765
-#1771 := [trans #1766 #1769]: #1770
-#1774 := [monotonicity #1758 #1771]: #1773
-#1742 := (iff #1020 #1741)
-#1739 := (iff #965 #1738)
-#1736 := (iff #960 #1735)
-#1733 := (iff #953 #1732)
-#1730 := (iff #948 #1729)
-#1726 := (iff #942 #1725)
-#1728 := [rewrite]: #1726
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-#1264 := [trans #1260 #1262]: #1263
-#1267 := [monotonicity #1264]: #1266
-#1273 := [trans #1267 #1271]: #1272
-#449 := (iff #76 #448)
-#446 := (iff #75 #443)
-#440 := (implies #73 #437)
-#444 := (iff #440 #443)
-#445 := [rewrite]: #444
-#441 := (iff #75 #440)
-#438 := (iff #74 #437)
-#439 := [rewrite]: #438
-#442 := [monotonicity #439]: #441
-#447 := [trans #442 #445]: #446
-#450 := [quant-intro #447]: #449
-#1276 := [monotonicity #450 #1273]: #1275
-#1282 := [trans #1276 #1280]: #1281
-#435 := (iff #72 #434)
-#432 := (iff #71 #429)
-#426 := (implies #68 #423)
-#430 := (iff #426 #429)
-#431 := [rewrite]: #430
-#427 := (iff #71 #426)
-#424 := (iff #70 #423)
-#425 := [rewrite]: #424
-#428 := [monotonicity #425]: #427
-#433 := [trans #428 #431]: #432
-#436 := [quant-intro #433]: #435
-#1285 := [monotonicity #436 #1282]: #1284
-#1291 := [trans #1285 #1289]: #1290
-#1294 := [monotonicity #1291]: #1293
-#1298 := [trans #1294 #1296]: #1297
-#1300 := [monotonicity #1298]: #1299
-#1302 := [trans #1300 #1296]: #1301
-#1305 := [monotonicity #1302]: #1304
-#1939 := [trans #1305 #1937]: #1938
-#422 := [asserted]: #293
-#1940 := [mp #422 #1939]: #1935
-#1941 := [not-or-elim #1940]: #79
-#2004 := [mp~ #1941 #1966]: #79
-#4354 := [mp #2004 #4353]: #4349
-#5709 := (not #4349)
-#5715 := (or #5709 #2266)
-#5470 := [quant-inst]: #5715
-#6005 := [unit-resolution #5470 #4354 #6004]: false
-#6009 := [lemma #6005]: #2266
-#3870 := (or #2166 #2033)
-#3957 := [def-axiom]: #3870
-#7294 := [unit-resolution #3957 #6009]: #2166
-#2421 := (not #2166)
-#4707 := (or #2421 #4704)
-#4710 := (not #4707)
-#4362 := (forall (vars (?x27 T2)) (:pat #4355) #1313)
-#4367 := (not #4362)
-#4713 := (or #4367 #4710)
-#4716 := (not #4713)
-decl ?x27!0 :: T2
-#2011 := ?x27!0
-#2012 := (uf_12 ?x27!0)
-#2013 := (>= #2012 0::int)
-#2014 := (not #2013)
-#4719 := (or #2014 #4716)
-#4722 := (not #4719)
-#4725 := (or #1308 #4722)
-#4728 := (not #4725)
-#4735 := (forall (vars (?x24 T2)) (:pat #4355) #1912)
-#4738 := (iff #1915 #4735)
-#4736 := (iff #1912 #1912)
-#4737 := [refl]: #4736
-#4739 := [quant-intro #4737]: #4738
-#2238 := (~ #1915 #1915)
-#2072 := (~ #1912 #1912)
-#2073 := [refl]: #2072
-#2239 := [nnf-pos #2073]: #2238
-#1945 := [not-or-elim #1940]: #1915
-#2265 := [mp~ #1945 #2239]: #1915
-#4740 := [mp #2265 #4739]: #4735
-#5485 := [hypothesis]: #1308
-#5347 := (not #4735)
-#5348 := (or #5347 #81)
-#4030 := (= uf_11 uf_11)
-#4033 := (not #4030)
-#4034 := (or #4033 #81)
-#5341 := (or #5347 #4034)
-#5350 := (iff #5341 #5348)
-#5361 := (iff #5348 #5348)
-#5363 := [rewrite]: #5361
-#5108 := (iff #4034 #81)
-#5046 := (or false #81)
-#5106 := (iff #5046 #81)
-#5107 := [rewrite]: #5106
-#5104 := (iff #4034 #5046)
-#3956 := (iff #4033 false)
-#6849 := (not true)
-#6852 := (iff #6849 false)
-#6853 := [rewrite]: #6852
-#5051 := (iff #4033 #6849)
-#4038 := (iff #4030 true)
-#5050 := [rewrite]: #4038
-#5052 := [monotonicity #5050]: #5051
-#3939 := [trans #5052 #6853]: #3956
-#5105 := [monotonicity #3939]: #5104
-#5346 := [trans #5105 #5107]: #5108
-#5351 := [monotonicity #5346]: #5350
-#5364 := [trans #5351 #5363]: #5350
-#5349 := [quant-inst]: #5341
-#5484 := [mp #5349 #5364]: #5348
-#5486 := [unit-resolution #5484 #5485 #4740]: false
-#5487 := [lemma #5486]: #81
-#4731 := (or #1308 #4728)
-#3666 := (forall (vars (?x66 T2) (?x67 T2)) #3661)
-#3672 := (not #3666)
-#3673 := (or #251 #3672)
-#3674 := (not #3673)
-#3701 := (or #3674 #3698)
-#3708 := (not #3701)
-#3644 := (forall (vars (?x64 T2)) #3639)
-#3707 := (not #3644)
-#3709 := (or #3707 #3708)
-#3710 := (not #3709)
-#3607 := (forall (vars (?x65 T2)) #3596)
-#3613 := (not #3607)
-#3614 := (or #2460 #2993 #3613)
-#3615 := (not #3614)
-#3715 := (or #3615 #3710)
-#3722 := (not #3715)
-#3592 := (forall (vars (?x41 T2)) #3581)
-#3721 := (not #3592)
-#3723 := (or #1062 #1044 #1071 #1053 #3721 #3722)
-#3724 := (not #3723)
-#3486 := (forall (vars (?x53 T2)) #3475)
-#3493 := (not #3486)
-#3471 := (forall (vars (?x50 T2) (?x51 T2)) #3466)
-#3492 := (not #3471)
-#3494 := (or #2318 #2893 #3492 #3493)
-#3495 := (not #3494)
-#3500 := (or #3449 #3495)
-#3507 := (not #3500)
-#3426 := (forall (vars (?x48 T2) (?x49 T2)) #3421)
-#3506 := (not #3426)
-#3508 := (or #3506 #3507)
-#3509 := (not #3508)
-#3514 := (or #3403 #3509)
-#3520 := (not #3514)
-#3521 := (or #1501 #3520)
-#3522 := (not #3521)
-#3527 := (or #2235 #3522)
-#3533 := (not #3527)
-#3534 := (or #1492 #3533)
-#3535 := (not #3534)
-#3540 := (or #1492 #3535)
-#3546 := (not #3540)
-#3547 := (or #824 #3546)
-#3548 := (not #3547)
-#3553 := (or #2836 #3548)
-#3559 := (not #3553)
-#3560 := (or #1487 #3559)
-#3561 := (not #3560)
-#3566 := (or #2822 #3561)
-#3574 := (not #3566)
-#3380 := (forall (vars (?x43 T2)) #3375)
-#3573 := (not #3380)
-#3362 := (forall (vars (?x44 T2)) #3359)
-#3572 := (not #3362)
-#3575 := (or #876 #585 #1652 #1656 #2412 #2415 #3572 #3573 #3574)
-#3576 := (not #3575)
-#3729 := (or #3576 #3724)
-#3739 := (not #3729)
-#3352 := (forall (vars (?x39 T2)) #3347)
-#3738 := (not #3352)
-#3324 := (forall (vars (?x32 T2)) #3319)
-#3737 := (not #3324)
-#3296 := (forall (vars (?x35 T2) (?x36 T2)) #3291)
-#3736 := (not #3296)
-#3273 := (forall (vars (?x37 T2) (?x38 T2)) #3268)
-#3735 := (not #3273)
-#3740 := (or #1854 #1849 #3735 #3736 #3737 #3738 #3739)
-#3741 := (not #3740)
-#3241 := (forall (vars (?x33 T2)) #3230)
-#3247 := (not #3241)
-#3248 := (or #2085 #2688 #3247)
-#3249 := (not #3248)
-#3746 := (or #3249 #3741)
-#3753 := (not #3746)
-#3226 := (forall (vars (?x30 T2) (?x31 T2)) #3221)
-#3752 := (not #3226)
-#3754 := (or #3752 #3753)
-#3755 := (not #3754)
-#3760 := (or #3204 #3755)
-#3767 := (not #3760)
-#3181 := (forall (vars (?x28 T2) (?x29 T2)) #3176)
-#3766 := (not #3181)
-#3768 := (or #3766 #3767)
-#3769 := (not #3768)
-#3774 := (or #2421 #3769)
-#3780 := (not #3774)
-#3781 := (or #1317 #3780)
-#3782 := (not #3781)
-#3787 := (or #2014 #3782)
-#3793 := (not #3787)
-#3794 := (or #1308 #3793)
-#3795 := (not #3794)
-#3800 := (or #1308 #3795)
-#4732 := (iff #3800 #4731)
-#4729 := (iff #3795 #4728)
-#4726 := (iff #3794 #4725)
-#4723 := (iff #3793 #4722)
-#4720 := (iff #3787 #4719)
-#4717 := (iff #3782 #4716)
-#4714 := (iff #3781 #4713)
-#4711 := (iff #3780 #4710)
-#4708 := (iff #3774 #4707)
-#4705 := (iff #3769 #4704)
-#4702 := (iff #3768 #4701)
-#4699 := (iff #3767 #4698)
-#4696 := (iff #3760 #4695)
-#4693 := (iff #3755 #4692)
-#4690 := (iff #3754 #4689)
-#4687 := (iff #3753 #4686)
-#4684 := (iff #3746 #4683)
-#4681 := (iff #3741 #4680)
-#4678 := (iff #3740 #4677)
-#4675 := (iff #3739 #4674)
-#4672 := (iff #3729 #4671)
-#4669 := (iff #3724 #4668)
-#4666 := (iff #3723 #4665)
-#4663 := (iff #3722 #4662)
-#4660 := (iff #3715 #4659)
-#4657 := (iff #3710 #4656)
-#4654 := (iff #3709 #4653)
-#4651 := (iff #3708 #4650)
-#4648 := (iff #3701 #4647)
-#4645 := (iff #3674 #4644)
-#4642 := (iff #3673 #4641)
-#4639 := (iff #3672 #4638)
-#4636 := (iff #3666 #4633)
-#4634 := (iff #3661 #3661)
-#4635 := [refl]: #4634
-#4637 := [quant-intro #4635]: #4636
-#4640 := [monotonicity #4637]: #4639
-#4643 := [monotonicity #4640]: #4642
-#4646 := [monotonicity #4643]: #4645
-#4649 := [monotonicity #4646]: #4648
-#4652 := [monotonicity #4649]: #4651
-#4631 := (iff #3707 #4630)
-#4628 := (iff #3644 #4625)
-#4626 := (iff #3639 #3639)
-#4627 := [refl]: #4626
-#4629 := [quant-intro #4627]: #4628
-#4632 := [monotonicity #4629]: #4631
-#4655 := [monotonicity #4632 #4652]: #4654
-#4658 := [monotonicity #4655]: #4657
-#4623 := (iff #3615 #4622)
-#4620 := (iff #3614 #4619)
-#4617 := (iff #3613 #4616)
-#4614 := (iff #3607 #4611)
-#4612 := (iff #3596 #3596)
-#4613 := [refl]: #4612
-#4615 := [quant-intro #4613]: #4614
-#4618 := [monotonicity #4615]: #4617
-#4621 := [monotonicity #4618]: #4620
-#4624 := [monotonicity #4621]: #4623
-#4661 := [monotonicity #4624 #4658]: #4660
-#4664 := [monotonicity #4661]: #4663
-#4607 := (iff #3721 #4606)
-#4604 := (iff #3592 #4601)
-#4602 := (iff #3581 #3581)
-#4603 := [refl]: #4602
-#4605 := [quant-intro #4603]: #4604
-#4608 := [monotonicity #4605]: #4607
-#4667 := [monotonicity #4608 #4664]: #4666
-#4670 := [monotonicity #4667]: #4669
-#4599 := (iff #3576 #4598)
-#4596 := (iff #3575 #4595)
-#4593 := (iff #3574 #4592)
-#4590 := (iff #3566 #4589)
-#4587 := (iff #3561 #4586)
-#4584 := (iff #3560 #4583)
-#4581 := (iff #3559 #4580)
-#4578 := (iff #3553 #4577)
-#4575 := (iff #3548 #4574)
-#4572 := (iff #3547 #4571)
-#4569 := (iff #3546 #4568)
-#4566 := (iff #3540 #4565)
-#4563 := (iff #3535 #4562)
-#4560 := (iff #3534 #4559)
-#4557 := (iff #3533 #4556)
-#4554 := (iff #3527 #4553)
-#4551 := (iff #3522 #4550)
-#4548 := (iff #3521 #4547)
-#4545 := (iff #3520 #4544)
-#4542 := (iff #3514 #4541)
-#4539 := (iff #3509 #4538)
-#4536 := (iff #3508 #4535)
-#4533 := (iff #3507 #4532)
-#4530 := (iff #3500 #4529)
-#4527 := (iff #3495 #4526)
-#4524 := (iff #3494 #4523)
-#4521 := (iff #3493 #4520)
-#4518 := (iff #3486 #4515)
-#4516 := (iff #3475 #3475)
-#4517 := [refl]: #4516
-#4519 := [quant-intro #4517]: #4518
-#4522 := [monotonicity #4519]: #4521
-#4512 := (iff #3492 #4511)
-#4509 := (iff #3471 #4506)
-#4507 := (iff #3466 #3466)
-#4508 := [refl]: #4507
-#4510 := [quant-intro #4508]: #4509
-#4513 := [monotonicity #4510]: #4512
-#4525 := [monotonicity #4513 #4522]: #4524
-#4528 := [monotonicity #4525]: #4527
-#4531 := [monotonicity #4528]: #4530
-#4534 := [monotonicity #4531]: #4533
-#4504 := (iff #3506 #4503)
-#4501 := (iff #3426 #4498)
-#4499 := (iff #3421 #3421)
-#4500 := [refl]: #4499
-#4502 := [quant-intro #4500]: #4501
-#4505 := [monotonicity #4502]: #4504
-#4537 := [monotonicity #4505 #4534]: #4536
-#4540 := [monotonicity #4537]: #4539
-#4543 := [monotonicity #4540]: #4542
-#4546 := [monotonicity #4543]: #4545
-#4495 := (iff #1501 #4494)
-#4492 := (iff #1498 #4489)
-#4490 := (iff #1495 #1495)
-#4491 := [refl]: #4490
-#4493 := [quant-intro #4491]: #4492
-#4496 := [monotonicity #4493]: #4495
-#4549 := [monotonicity #4496 #4546]: #4548
-#4552 := [monotonicity #4549]: #4551
-#4555 := [monotonicity #4552]: #4554
-#4558 := [monotonicity #4555]: #4557
-#4561 := [monotonicity #4558]: #4560
-#4564 := [monotonicity #4561]: #4563
-#4567 := [monotonicity #4564]: #4566
-#4570 := [monotonicity #4567]: #4569
-#4487 := (iff #824 #4486)
-#4484 := (iff #642 #4481)
-#4482 := (iff #637 #637)
-#4483 := [refl]: #4482
-#4485 := [quant-intro #4483]: #4484
-#4488 := [monotonicity #4485]: #4487
-#4573 := [monotonicity #4488 #4570]: #4572
-#4576 := [monotonicity #4573]: #4575
-#4579 := [monotonicity #4576]: #4578
-#4582 := [monotonicity #4579]: #4581
-#4478 := (iff #1487 #4477)
-#4475 := (iff #1484 #4472)
-#4473 := (iff #1479 #1479)
-#4474 := [refl]: #4473
-#4476 := [quant-intro #4474]: #4475
-#4479 := [monotonicity #4476]: #4478
-#4585 := [monotonicity #4479 #4582]: #4584
-#4588 := [monotonicity #4585]: #4587
-#4591 := [monotonicity #4588]: #4590
-#4594 := [monotonicity #4591]: #4593
-#4470 := (iff #3573 #4469)
-#4467 := (iff #3380 #4464)
-#4465 := (iff #3375 #3375)
-#4466 := [refl]: #4465
-#4468 := [quant-intro #4466]: #4467
-#4471 := [monotonicity #4468]: #4470
-#4462 := (iff #3572 #4461)
-#4459 := (iff #3362 #4456)
-#4457 := (iff #3359 #3359)
-#4458 := [refl]: #4457
-#4460 := [quant-intro #4458]: #4459
-#4463 := [monotonicity #4460]: #4462
-#4452 := (iff #1652 #4451)
-#4449 := (iff #1649 #4446)
-#4447 := (iff #1644 #1644)
-#4448 := [refl]: #4447
-#4450 := [quant-intro #4448]: #4449
-#4453 := [monotonicity #4450]: #4452
-#4597 := [monotonicity #4453 #4463 #4471 #4594]: #4596
-#4600 := [monotonicity #4597]: #4599
-#4673 := [monotonicity #4600 #4670]: #4672
-#4676 := [monotonicity #4673]: #4675
-#4443 := (iff #3738 #4442)
-#4440 := (iff #3352 #4437)
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-#4439 := [refl]: #4438
-#4441 := [quant-intro #4439]: #4440
-#4444 := [monotonicity #4441]: #4443
-#4435 := (iff #3737 #4434)
-#4432 := (iff #3324 #4429)
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-#4431 := [refl]: #4430
-#4433 := [quant-intro #4431]: #4432
-#4436 := [monotonicity #4433]: #4435
-#4427 := (iff #3736 #4426)
-#4424 := (iff #3296 #4421)
-#4422 := (iff #3291 #3291)
-#4423 := [refl]: #4422
-#4425 := [quant-intro #4423]: #4424
-#4428 := [monotonicity #4425]: #4427
-#4418 := (iff #3735 #4417)
-#4415 := (iff #3273 #4412)
-#4413 := (iff #3268 #3268)
-#4414 := [refl]: #4413
-#4416 := [quant-intro #4414]: #4415
-#4419 := [monotonicity #4416]: #4418
-#4410 := (iff #1849 #4409)
-#4407 := (iff #1846 #4404)
-#4405 := (iff #1843 #1843)
-#4406 := [refl]: #4405
-#4408 := [quant-intro #4406]: #4407
-#4411 := [monotonicity #4408]: #4410
-#4679 := [monotonicity #4411 #4419 #4428 #4436 #4444 #4676]: #4678
-#4682 := [monotonicity #4679]: #4681
-#4401 := (iff #3249 #4400)
-#4398 := (iff #3248 #4397)
-#4395 := (iff #3247 #4394)
-#4392 := (iff #3241 #4389)
-#4390 := (iff #3230 #3230)
-#4391 := [refl]: #4390
-#4393 := [quant-intro #4391]: #4392
-#4396 := [monotonicity #4393]: #4395
-#4399 := [monotonicity #4396]: #4398
-#4402 := [monotonicity #4399]: #4401
-#4685 := [monotonicity #4402 #4682]: #4684
-#4688 := [monotonicity #4685]: #4687
-#4386 := (iff #3752 #4385)
-#4383 := (iff #3226 #4380)
-#4381 := (iff #3221 #3221)
-#4382 := [refl]: #4381
-#4384 := [quant-intro #4382]: #4383
-#4387 := [monotonicity #4384]: #4386
-#4691 := [monotonicity #4387 #4688]: #4690
-#4694 := [monotonicity #4691]: #4693
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-#4700 := [monotonicity #4697]: #4699
-#4377 := (iff #3766 #4376)
-#4374 := (iff #3181 #4371)
-#4372 := (iff #3176 #3176)
-#4373 := [refl]: #4372
-#4375 := [quant-intro #4373]: #4374
-#4378 := [monotonicity #4375]: #4377
-#4703 := [monotonicity #4378 #4700]: #4702
-#4706 := [monotonicity #4703]: #4705
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-#4363 := (iff #1313 #1313)
-#4364 := [refl]: #4363
-#4366 := [quant-intro #4364]: #4365
-#4369 := [monotonicity #4366]: #4368
-#4715 := [monotonicity #4369 #4712]: #4714
-#4718 := [monotonicity #4715]: #4717
-#4721 := [monotonicity #4718]: #4720
-#4724 := [monotonicity #4721]: #4723
-#4727 := [monotonicity #4724]: #4726
-#4730 := [monotonicity #4727]: #4729
-#4733 := [monotonicity #4730]: #4732
-#2527 := (not #2526)
-#2523 := (not #2522)
-#3081 := (and #2523 #2527)
-#3084 := (not #3081)
-#3101 := (or #3084 #3096)
-#3104 := (not #3101)
-#2536 := (not #251)
-#2546 := (and #2536 #1756)
-#3110 := (or #2546 #3104)
-#3054 := (not #3049)
-#3072 := (and #3054 #3067)
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-#3078 := (forall (vars (?x64 T2)) #3075)
-#3115 := (and #3078 #3110)
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-#3024 := (and #2456 #3021)
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-#3030 := (forall (vars (?x65 T2)) #3027)
-#2996 := (not #2993)
-#2461 := (not #2460)
-#3036 := (and #2461 #2996 #3030)
-#3118 := (or #3036 #3115)
-#2441 := (not #1670)
-#2444 := (forall (vars (?x41 T2)) #2441)
-#3121 := (and #229 #234 #930 #933 #2444 #3118)
-#2314 := (not #2313)
-#2924 := (and #630 #2314 #2921)
-#2927 := (not #2924)
-#2930 := (forall (vars (?x53 T2)) #2927)
-#2896 := (not #2893)
-#2319 := (not #2318)
-#2939 := (and #1541 #2319 #2896 #2930)
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-#2970 := [monotonicity #2838 #2967]: #2969
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-#2823 := (iff #2195 #2822)
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-#2809 := (+ #2191 #2192)
-#2812 := (>= #2809 0::int)
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-#2819 := [rewrite]: #2818
-#2813 := (iff #2194 #2812)
-#2810 := (= #2193 #2809)
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-#2814 := [monotonicity #2811]: #2813
-#2821 := [trans #2814 #2819]: #2820
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-#2979 := [monotonicity #2808 #2976]: #2978
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-#2796 := (iff #2158 #2793)
-#2783 := (+ #2153 #2156)
-#2784 := (+ #1404 #2783)
-#2787 := (= #2784 0::int)
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-#2795 := [rewrite]: #2794
-#2788 := (iff #2158 #2787)
-#2785 := (= #2157 #2784)
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-#2789 := [monotonicity #2786]: #2788
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-#2781 := (iff #2160 #2780)
-#2778 := (iff #2159 #2775)
-#2767 := (+ #1404 #2153)
-#2770 := (>= #2767 0::int)
-#2776 := (iff #2770 #2775)
-#2777 := [rewrite]: #2776
-#2771 := (iff #2159 #2770)
-#2768 := (= #2154 #2767)
-#2769 := [rewrite]: #2768
-#2772 := [monotonicity #2769]: #2771
-#2779 := [trans #2772 #2777]: #2778
-#2782 := [monotonicity #2779]: #2781
-#2800 := [monotonicity #2782 #2797]: #2799
-#2803 := [monotonicity #2800]: #2802
-#2806 := [quant-intro #2803]: #2805
-#2765 := (iff #2144 #2764)
-#2762 := (iff #2141 #2759)
-#2756 := (or #2753 #1395)
-#2760 := (iff #2756 #2759)
-#2761 := [rewrite]: #2760
-#2757 := (iff #2141 #2756)
-#2754 := (iff #2134 #2753)
-#2751 := (iff #2129 #2748)
-#2738 := (+ #2125 #2127)
-#2739 := (+ #1386 #2738)
-#2742 := (= #2739 0::int)
-#2749 := (iff #2742 #2748)
-#2750 := [rewrite]: #2749
-#2743 := (iff #2129 #2742)
-#2740 := (= #2128 #2739)
-#2741 := [rewrite]: #2740
-#2744 := [monotonicity #2741]: #2743
-#2752 := [trans #2744 #2750]: #2751
-#2736 := (iff #2132 #2735)
-#2733 := (iff #2131 #2730)
-#2722 := (+ #1386 #2127)
-#2725 := (>= #2722 0::int)
-#2731 := (iff #2725 #2730)
-#2732 := [rewrite]: #2731
-#2726 := (iff #2131 #2725)
-#2723 := (= #2130 #2722)
-#2724 := [rewrite]: #2723
-#2727 := [monotonicity #2724]: #2726
-#2734 := [trans #2727 #2732]: #2733
-#2737 := [monotonicity #2734]: #2736
-#2755 := [monotonicity #2737 #2752]: #2754
-#2758 := [monotonicity #2755]: #2757
-#2763 := [trans #2758 #2761]: #2762
-#2766 := [quant-intro #2763]: #2765
-#2720 := (iff #2120 #109)
-#2721 := [rewrite]: #2720
-#3129 := [monotonicity #2721 #2766 #2806 #3126]: #3128
-#3134 := [trans #3129 #3132]: #3133
-#2718 := (iff #2115 #2715)
-#2697 := (and #2086 #2691)
-#2712 := (and #2685 #2697)
-#2716 := (iff #2712 #2715)
-#2717 := [rewrite]: #2716
-#2713 := (iff #2115 #2712)
-#2710 := (iff #2112 #2697)
-#2702 := (not #2697)
-#2705 := (not #2702)
-#2708 := (iff #2705 #2697)
-#2709 := [rewrite]: #2708
-#2706 := (iff #2112 #2705)
-#2703 := (iff #2090 #2702)
-#2700 := (iff #2089 #2697)
-#2694 := (and #2691 #2086)
-#2698 := (iff #2694 #2697)
-#2699 := [rewrite]: #2698
-#2695 := (iff #2089 #2694)
-#2692 := (iff #2088 #2691)
-#2689 := (iff #2087 #2688)
-#2690 := [rewrite]: #2689
-#2693 := [monotonicity #2690]: #2692
-#2696 := [monotonicity #2693]: #2695
-#2701 := [trans #2696 #2699]: #2700
-#2704 := [monotonicity #2701]: #2703
-#2707 := [monotonicity #2704]: #2706
-#2711 := [trans #2707 #2709]: #2710
-#2686 := (iff #2108 #2685)
-#2683 := (iff #2105 #2682)
-#2680 := (iff #2099 #2679)
-#2681 := [rewrite]: #2680
-#2684 := [monotonicity #2681]: #2683
-#2687 := [quant-intro #2684]: #2686
-#2714 := [monotonicity #2687 #2711]: #2713
-#2719 := [trans #2714 #2717]: #2718
-#3137 := [monotonicity #2719 #3134]: #3136
-#3140 := [monotonicity #3137]: #3139
-#2677 := (iff #2069 #2676)
-#2674 := (iff #2068 #2673)
-#2671 := (iff #2061 #2670)
-#2668 := (iff #2060 #2667)
-#2669 := [rewrite]: #2668
-#2672 := [monotonicity #2669]: #2671
-#2665 := (iff #2067 #2664)
-#2662 := (= #2066 #2661)
-#2663 := [rewrite]: #2662
-#2666 := [monotonicity #2663]: #2665
-#2675 := [monotonicity #2666 #2672]: #2674
-#2678 := [monotonicity #2675]: #2677
-#3143 := [monotonicity #2678 #3140]: #3142
-#3146 := [monotonicity #3143]: #3145
-#2658 := (iff #2039 #2657)
-#2655 := (iff #2038 #2654)
-#2652 := (iff #2032 #2649)
-#2641 := (+ #2029 #2030)
-#2644 := (>= #2641 0::int)
-#2650 := (iff #2644 #2649)
-#2651 := [rewrite]: #2650
-#2645 := (iff #2032 #2644)
-#2642 := (= #2031 #2641)
-#2643 := [rewrite]: #2642
-#2646 := [monotonicity #2643]: #2645
-#2653 := [trans #2646 #2651]: #2652
-#2639 := (iff #2037 #2638)
-#2636 := (iff #2036 #2635)
-#2637 := [rewrite]: #2636
-#2640 := [monotonicity #2637]: #2639
-#2656 := [monotonicity #2640 #2653]: #2655
-#2659 := [monotonicity #2656]: #2658
-#3149 := [monotonicity #2659 #3146]: #3148
-#3152 := [monotonicity #3149]: #3151
-#3155 := [monotonicity #3152]: #3154
-#2633 := (iff #1969 #81)
-#2634 := [rewrite]: #2633
-#3158 := [monotonicity #2634 #3155]: #3157
-#3161 := [monotonicity #3158]: #3160
-#1943 := (not #1907)
-#2628 := (~ #1943 #2627)
-#2624 := (not #1904)
-#2625 := (~ #2624 #2623)
-#2620 := (not #1901)
-#2621 := (~ #2620 #2619)
-#2616 := (not #1898)
-#2617 := (~ #2616 #2615)
-#2612 := (not #1895)
-#2613 := (~ #2612 #2611)
-#2608 := (not #1892)
-#2609 := (~ #2608 #2607)
-#2604 := (not #1889)
-#2605 := (~ #2604 #2603)
-#2600 := (not #1886)
-#2601 := (~ #2600 #2599)
-#2596 := (not #1883)
-#2597 := (~ #2596 #2595)
-#2592 := (not #1878)
-#2593 := (~ #2592 #2591)
-#2588 := (not #1849)
-#2589 := (~ #2588 #1846)
-#2586 := (~ #1846 #1846)
-#2584 := (~ #1843 #1843)
-#2585 := [refl]: #2584
-#2587 := [nnf-pos #2585]: #2586
-#2590 := [nnf-neg #2587]: #2589
-#2581 := (not #1840)
-#2582 := (~ #2581 #1837)
-#2579 := (~ #1837 #1837)
-#2577 := (~ #1832 #1832)
-#2578 := [refl]: #2577
-#2580 := [nnf-pos #2578]: #2579
-#2583 := [nnf-neg #2580]: #2582
-#2574 := (not #1824)
-#2575 := (~ #2574 #1821)
-#2572 := (~ #1821 #1821)
-#2570 := (~ #1818 #1818)
-#2571 := [refl]: #2570
-#2573 := [nnf-pos #2571]: #2572
-#2576 := [nnf-neg #2573]: #2575
-#2567 := (not #1801)
-#2568 := (~ #2567 #2566)
-#2563 := (not #1796)
-#2564 := (~ #2563 #2562)
-#2559 := (not #1778)
-#2560 := (~ #2559 #2558)
-#2555 := (not #1775)
-#2556 := (~ #2555 #2554)
-#2551 := (not #1772)
-#2552 := (~ #2551 #2550)
-#2547 := (not #1767)
-#2548 := (~ #2547 #2546)
-#2543 := (not #1759)
-#2544 := (~ #2543 #1756)
-#2541 := (~ #1756 #1756)
-#2539 := (~ #1753 #1753)
-#2540 := [refl]: #2539
-#2542 := [nnf-pos #2540]: #2541
-#2545 := [nnf-neg #2542]: #2544
-#2537 := (~ #2536 #2536)
-#2538 := [refl]: #2537
-#2549 := [nnf-neg #2538 #2545]: #2548
-#2532 := (~ #1759 #2531)
-#2533 := [sk]: #2532
-#2553 := [nnf-neg #2533 #2549]: #2552
-#2507 := (not #1741)
-#2508 := (~ #2507 #2504)
-#2505 := (~ #1738 #2504)
-#2502 := (~ #1735 #2501)
-#2497 := (~ #1732 #2496)
-#2498 := [sk]: #2497
-#2485 := (~ #1716 #1716)
-#2486 := [refl]: #2485
-#2503 := [monotonicity #2486 #2498]: #2502
-#2506 := [nnf-pos #2503]: #2505
-#2509 := [nnf-neg #2506]: #2508
-#2557 := [nnf-neg #2509 #2553]: #2556
-#2483 := (~ #1741 #2480)
-#2458 := (exists (vars (?x65 T2)) #2457)
-#2466 := (or #2465 #2458)
-#2467 := (not #2466)
-#2481 := (~ #2467 #2480)
-#2477 := (not #2458)
-#2478 := (~ #2477 #2476)
-#2474 := (~ #2473 #2473)
-#2475 := [refl]: #2474
-#2479 := [nnf-neg #2475]: #2478
-#2471 := (~ #2470 #2470)
-#2472 := [refl]: #2471
-#2482 := [nnf-neg #2472 #2479]: #2481
-#2468 := (~ #1741 #2467)
-#2469 := [sk]: #2468
-#2484 := [trans #2469 #2482]: #2483
-#2561 := [nnf-neg #2484 #2557]: #2560
-#2445 := (~ #1678 #2444)
-#2442 := (~ #2441 #2441)
-#2443 := [refl]: #2442
-#2446 := [nnf-neg #2443]: #2445
-#2439 := (~ #2438 #2438)
-#2440 := [refl]: #2439
-#2436 := (~ #2435 #2435)
-#2437 := [refl]: #2436
-#2433 := (~ #2432 #2432)
-#2434 := [refl]: #2433
-#2430 := (~ #2429 #2429)
-#2431 := [refl]: #2430
-#2565 := [nnf-neg #2431 #2434 #2437 #2440 #2446 #2561]: #2564
-#2426 := (not #1702)
-#2427 := (~ #2426 #2425)
-#2422 := (not #1678)
-#2423 := (~ #2422 #2417)
-#2418 := (~ #1675 #2417)
-#2419 := [sk]: #2418
-#2424 := [nnf-neg #2419]: #2423
-#2406 := (~ #1657 #1657)
-#2407 := [refl]: #2406
-#2403 := (not #1652)
-#2404 := (~ #2403 #1649)
-#2401 := (~ #1649 #1649)
-#2399 := (~ #1644 #1644)
-#2400 := [refl]: #2399
-#2402 := [nnf-pos #2400]: #2401
-#2405 := [nnf-neg #2402]: #2404
-#2396 := (not #1634)
-#2397 := (~ #2396 #1631)
-#2394 := (~ #1631 #1631)
-#2392 := (~ #1628 #1628)
-#2393 := [refl]: #2392
-#2395 := [nnf-pos #2393]: #2394
-#2398 := [nnf-neg #2395]: #2397
-#2389 := (not #1617)
-#2390 := (~ #2389 #2388)
-#2385 := (not #1614)
-#2386 := (~ #2385 #2384)
-#2381 := (not #1611)
-#2382 := (~ #2381 #2380)
-#2377 := (not #1608)
-#2378 := (~ #2377 #2376)
-#2373 := (not #1605)
-#2374 := (~ #2373 #2372)
-#2369 := (not #1602)
-#2370 := (~ #2369 #2368)
-#2365 := (not #1599)
-#2366 := (~ #2365 #2364)
-#2361 := (not #1596)
-#2362 := (~ #2361 #2360)
-#2357 := (not #1593)
-#2358 := (~ #2357 #2356)
-#2353 := (not #1590)
-#2354 := (~ #2353 #2352)
-#2349 := (not #1587)
-#2350 := (~ #2349 #2348)
-#2345 := (not #1584)
-#2346 := (~ #2345 #2344)
-#2326 := (not #1581)
-#2342 := (~ #2326 #2339)
-#2316 := (exists (vars (?x53 T2)) #2315)
-#2324 := (or #2323 #2316)
-#2325 := (not #2324)
-#2340 := (~ #2325 #2339)
-#2336 := (not #2316)
-#2337 := (~ #2336 #2335)
-#2333 := (~ #2332 #2332)
-#2334 := [refl]: #2333
-#2338 := [nnf-neg #2334]: #2337
-#2330 := (~ #2329 #2329)
-#2331 := [refl]: #2330
-#2341 := [nnf-neg #2331 #2338]: #2340
-#2327 := (~ #2326 #2325)
-#2328 := [sk]: #2327
-#2343 := [trans #2328 #2341]: #2342
-#2302 := (not #1544)
-#2303 := (~ #2302 #1541)
-#2300 := (~ #1541 #1541)
-#2298 := (~ #1538 #1538)
-#2299 := [refl]: #2298
-#2301 := [nnf-pos #2299]: #2300
-#2304 := [nnf-neg #2301]: #2303
-#2347 := [nnf-neg #2304 #2343]: #2346
-#2294 := (~ #1544 #2293)
-#2295 := [sk]: #2294
-#2351 := [nnf-neg #2295 #2347]: #2350
-#2271 := (not #1520)
-#2272 := (~ #2271 #1517)
-#2269 := (~ #1517 #1517)
-#2267 := (~ #1512 #1512)
-#2268 := [refl]: #2267
-#2270 := [nnf-pos #2268]: #2269
-#2273 := [nnf-neg #2270]: #2272
-#2355 := [nnf-neg #2273 #2351]: #2354
-#2263 := (~ #1520 #2262)
-#2264 := [sk]: #2263
-#2359 := [nnf-neg #2264 #2355]: #2358
-#2244 := (not #1501)
-#2245 := (~ #2244 #1498)
-#2242 := (~ #1498 #1498)
-#2240 := (~ #1495 #1495)
-#2241 := [refl]: #2240
-#2243 := [nnf-pos #2241]: #2242
-#2246 := [nnf-neg #2243]: #2245
-#2363 := [nnf-neg #2246 #2359]: #2362
-#2236 := (~ #1501 #2235)
-#2237 := [sk]: #2236
-#2367 := [nnf-neg #2237 #2363]: #2366
-#2230 := (~ #2229 #2229)
-#2231 := [refl]: #2230
-#2371 := [nnf-neg #2231 #2367]: #2370
-#2227 := (~ #1492 #1492)
-#2228 := [refl]: #2227
-#2375 := [nnf-neg #2228 #2371]: #2374
-#2224 := (not #824)
-#2225 := (~ #2224 #642)
-#2222 := (~ #642 #642)
-#2220 := (~ #637 #637)
-#2221 := [refl]: #2220
-#2223 := [nnf-pos #2221]: #2222
-#2226 := [nnf-neg #2223]: #2225
-#2379 := [nnf-neg #2226 #2375]: #2378
-#2216 := (~ #824 #2215)
-#2217 := [sk]: #2216
-#2383 := [nnf-neg #2217 #2379]: #2382
-#2204 := (not #1487)
-#2205 := (~ #2204 #1484)
-#2202 := (~ #1484 #1484)
-#2200 := (~ #1479 #1479)
-#2201 := [refl]: #2200
-#2203 := [nnf-pos #2201]: #2202
-#2206 := [nnf-neg #2203]: #2205
-#2387 := [nnf-neg #2206 #2383]: #2386
-#2196 := (~ #1487 #2195)
-#2197 := [sk]: #2196
-#2391 := [nnf-neg #2197 #2387]: #2390
-#2186 := (not #1476)
-#2187 := (~ #2186 #1473)
-#2184 := (~ #1473 #1473)
-#2182 := (~ #1468 #1468)
-#2183 := [refl]: #2182
-#2185 := [nnf-pos #2183]: #2184
-#2188 := [nnf-neg #2185]: #2187
-#2180 := (~ #588 #588)
-#2181 := [refl]: #2180
-#2178 := (~ #2177 #2177)
-#2179 := [refl]: #2178
-#2428 := [nnf-neg #2179 #2181 #2188 #2391 #2398 #2405 #2407 #2424]: #2427
-#2569 := [nnf-neg #2428 #2565]: #2568
-#2174 := (not #1446)
-#2175 := (~ #2174 #2171)
-#2172 := (~ #1443 #2171)
-#2169 := (~ #1440 #2168)
-#2164 := (~ #1437 #2163)
-#2165 := [sk]: #2164
-#2150 := (~ #1413 #1413)
-#2151 := [refl]: #2150
-#2170 := [monotonicity #2151 #2165]: #2169
-#2173 := [nnf-pos #2170]: #2172
-#2176 := [nnf-neg #2173]: #2175
-#2147 := (not #1857)
-#2148 := (~ #2147 #2144)
-#2145 := (~ #1401 #2144)
-#2142 := (~ #1398 #2141)
-#2139 := (~ #1395 #1395)
-#2140 := [refl]: #2139
-#2135 := (~ #1383 #2134)
-#2136 := [sk]: #2135
-#2143 := [monotonicity #2136 #2140]: #2142
-#2146 := [nnf-pos #2143]: #2145
-#2149 := [nnf-neg #2146]: #2148
-#2121 := (~ #2120 #2120)
-#2122 := [refl]: #2121
-#2594 := [nnf-neg #2122 #2149 #2176 #2569 #2576 #2583 #2590]: #2593
-#2118 := (~ #1857 #2115)
-#2100 := (exists (vars (?x33 T2)) #2099)
-#2101 := (or #2100 #2090)
-#2102 := (not #2101)
-#2116 := (~ #2102 #2115)
-#2113 := (~ #2112 #2112)
-#2114 := [refl]: #2113
-#2109 := (not #2100)
-#2110 := (~ #2109 #2108)
-#2106 := (~ #2105 #2105)
-#2107 := [refl]: #2106
-#2111 := [nnf-neg #2107]: #2110
-#2117 := [nnf-neg #2111 #2114]: #2116
-#2103 := (~ #1857 #2102)
-#2104 := [sk]: #2103
-#2119 := [trans #2104 #2117]: #2118
-#2598 := [nnf-neg #2119 #2594]: #2597
-#2078 := (not #1363)
-#2079 := (~ #2078 #1360)
-#2076 := (~ #1360 #1360)
-#2074 := (~ #1357 #1357)
-#2075 := [refl]: #2074
-#2077 := [nnf-pos #2075]: #2076
-#2080 := [nnf-neg #2077]: #2079
-#2602 := [nnf-neg #2080 #2598]: #2601
-#2070 := (~ #1363 #2069)
-#2071 := [sk]: #2070
-#2606 := [nnf-neg #2071 #2602]: #2605
-#2048 := (not #1337)
-#2049 := (~ #2048 #1334)
-#2046 := (~ #1334 #1334)
-#2044 := (~ #1329 #1329)
-#2045 := [refl]: #2044
-#2047 := [nnf-pos #2045]: #2046
-#2050 := [nnf-neg #2047]: #2049
-#2610 := [nnf-neg #2050 #2606]: #2609
-#2040 := (~ #1337 #2039)
-#2041 := [sk]: #2040
-#2614 := [nnf-neg #2041 #2610]: #2613
-#2023 := (not #1317)
-#2024 := (~ #2023 #1314)
-#2021 := (~ #1314 #1314)
-#2019 := (~ #1313 #1313)
-#2020 := [refl]: #2019
-#2022 := [nnf-pos #2020]: #2021
-#2025 := [nnf-neg #2022]: #2024
-#2618 := [nnf-neg #2025 #2614]: #2617
-#2015 := (~ #1317 #2014)
-#2016 := [sk]: #2015
-#2622 := [nnf-neg #2016 #2618]: #2621
-#1970 := (~ #1969 #1969)
-#2010 := [refl]: #1970
-#2626 := [nnf-neg #2010 #2622]: #2625
-#2008 := (~ #1308 #1308)
-#2009 := [refl]: #2008
-#2629 := [nnf-neg #2009 #2626]: #2628
-#1944 := [not-or-elim #1940]: #1943
-#2630 := [mp~ #1944 #2629]: #2627
-#2631 := [mp #2630 #3161]: #3159
-#3803 := [mp #2631 #3802]: #3800
-#4734 := [mp #3803 #4733]: #4731
-#7295 := [unit-resolution #4734 #5487]: #4728
-#4058 := (or #4725 #4719)
-#4059 := [def-axiom]: #4058
-#7296 := [unit-resolution #4059 #7295]: #4719
-#373 := (<= uf_9 0::int)
-#374 := (not #373)
-#57 := (< 0::int uf_9)
-#375 := (iff #57 #374)
-#376 := [rewrite]: #375
-#369 := [asserted]: #57
-#377 := [mp #369 #376]: #374
-#5901 := (* -1::int #2012)
-#5891 := (+ uf_9 #5901)
-#5892 := (<= #5891 0::int)
-#5472 := (= uf_9 #2012)
-#5745 := (= uf_11 ?x27!0)
-#5918 := (not #5745)
-#5916 := (= #2012 0::int)
-#5836 := (not #5916)
-#5835 := [hypothesis]: #2014
-#5837 := (or #5836 #2013)
-#5896 := [th-lemma]: #5837
-#5922 := [unit-resolution #5896 #5835]: #5836
-#5981 := (or #5347 #5918 #5916)
-#5477 := (= ?x27!0 uf_11)
-#5917 := (not #5477)
-#5890 := (or #5917 #5916)
-#5982 := (or #5347 #5890)
-#5987 := (iff #5982 #5981)
-#5915 := (or #5918 #5916)
-#5984 := (or #5347 #5915)
-#5985 := (iff #5984 #5981)
-#5986 := [rewrite]: #5985
-#6000 := (iff #5982 #5984)
-#5921 := (iff #5890 #5915)
-#5919 := (iff #5917 #5918)
-#5743 := (iff #5477 #5745)
-#5746 := [rewrite]: #5743
-#5920 := [monotonicity #5746]: #5919
-#5980 := [monotonicity #5920]: #5921
-#5979 := [monotonicity #5980]: #6000
-#5988 := [trans #5979 #5986]: #5987
-#5983 := [quant-inst]: #5982
-#6010 := [mp #5983 #5988]: #5981
-#5923 := [unit-resolution #6010 #4740 #5922]: #5918
-#5748 := (or #5472 #5745)
-#4356 := (forall (vars (?x25 T2)) (:pat #4355) #443)
-#4359 := (iff #448 #4356)
-#4357 := (iff #443 #443)
-#4358 := [refl]: #4357
-#4360 := [quant-intro #4358]: #4359
-#1967 := (~ #448 #448)
-#2005 := (~ #443 #443)
-#2006 := [refl]: #2005
-#1968 := [nnf-pos #2006]: #1967
-#1942 := [not-or-elim #1940]: #448
-#2007 := [mp~ #1942 #1968]: #448
-#4361 := [mp #2007 #4360]: #4356
-#5821 := (not #4356)
-#5827 := (or #5821 #5472 #5745)
-#5737 := (or #5477 #5472)
-#5828 := (or #5821 #5737)
-#5894 := (iff #5828 #5827)
-#5830 := (or #5821 #5748)
-#5846 := (iff #5830 #5827)
-#5847 := [rewrite]: #5846
-#5826 := (iff #5828 #5830)
-#5756 := (iff #5737 #5748)
-#5736 := (or #5745 #5472)
-#5752 := (iff #5736 #5748)
-#5753 := [rewrite]: #5752
-#5747 := (iff #5737 #5736)
-#5744 := [monotonicity #5746]: #5747
-#5834 := [trans #5744 #5753]: #5756
-#5831 := [monotonicity #5834]: #5826
-#5895 := [trans #5831 #5847]: #5894
-#5829 := [quant-inst]: #5828
-#5900 := [mp #5829 #5895]: #5827
-#5924 := [unit-resolution #5900 #4361]: #5748
-#5989 := [unit-resolution #5924 #5923]: #5472
-#6012 := (not #5472)
-#6013 := (or #6012 #5892)
-#6014 := [th-lemma]: #6013
-#6042 := [unit-resolution #6014 #5989]: #5892
-#6011 := (<= #2012 0::int)
-#6043 := (or #6011 #2013)
-#6044 := [th-lemma]: #6043
-#6045 := [unit-resolution #6044 #5835]: #6011
-#6046 := [th-lemma #6045 #6042 #377]: false
-#6041 := [lemma #6046]: #2013
-#4053 := (or #4722 #2014 #4716)
-#4054 := [def-axiom]: #4053
-#7297 := [unit-resolution #4054 #6041 #7296]: #4716
-#4077 := (or #4713 #4707)
-#4078 := [def-axiom]: #4077
-#7298 := [unit-resolution #4078 #7297]: #4707
-#4071 := (or #4710 #2421 #4704)
-#4073 := [def-axiom]: #4071
-#7299 := [unit-resolution #4073 #7298 #7294]: #4704
-#4098 := (or #4701 #4695)
-#4099 := [def-axiom]: #4098
-#7300 := [unit-resolution #4099 #7299]: #4695
-#6817 := [hypothesis]: #2059
-#6051 := (or #5709 #3184)
-#6081 := [quant-inst]: #6051
-#6818 := [unit-resolution #6081 #4354 #6817]: false
-#6839 := [lemma #6818]: #3184
-#3960 := (or #3199 #2059)
-#3964 := [def-axiom]: #3960
-#7301 := [unit-resolution #3964 #6839]: #3199
-#4094 := (or #4698 #3204 #4692)
-#4095 := [def-axiom]: #4094
-#7302 := [unit-resolution #4095 #7301 #7300]: #4692
-#4108 := (or #4689 #4683)
-#4129 := [def-axiom]: #4108
-#7303 := [unit-resolution #4129 #7302]: #4683
-#6633 := (= uf_9 #2082)
-#6706 := (not #6633)
-#6684 := [hypothesis]: #4400
-#4274 := (or #4397 #2086)
-#3948 := [def-axiom]: #4274
-#6685 := [unit-resolution #3948 #6684]: #2086
-#6798 := (or #6706 #2085)
-#6840 := [th-lemma]: #6798
-#6835 := [unit-resolution #6840 #6685]: #6706
-#3949 := (or #4397 #2691)
-#4281 := [def-axiom]: #3949
-#6841 := [unit-resolution #4281 #6684]: #2691
-#6695 := (or #5821 #2688 #6633)
-#6680 := (or #2087 #6633)
-#6696 := (or #5821 #6680)
-#6732 := (iff #6696 #6695)
-#6548 := (or #2688 #6633)
-#6694 := (or #5821 #6548)
-#6699 := (iff #6694 #6695)
-#6705 := [rewrite]: #6699
-#6697 := (iff #6696 #6694)
-#6608 := (iff #6680 #6548)
-#6665 := [monotonicity #2690]: #6608
-#6698 := [monotonicity #6665]: #6697
-#6728 := [trans #6698 #6705]: #6732
-#6547 := [quant-inst]: #6696
-#6734 := [mp #6547 #6728]: #6695
-#6842 := [unit-resolution #6734 #4361 #6841 #6835]: false
-#6843 := [lemma #6842]: #4397
-#4116 := (or #4686 #4400 #4680)
-#4117 := [def-axiom]: #4116
-#7304 := [unit-resolution #4117 #6843 #7303]: #4680
-#4149 := (or #4677 #4404)
-#4145 := [def-axiom]: #4149
-#7305 := [unit-resolution #4145 #7304]: #4404
-#24124 := (or #4409 #20405)
-#25438 := [quant-inst]: #24124
-#29563 := [unit-resolution #25438 #7305]: #20405
-#15997 := (* -1::int #15996)
-#15993 := (uf_1 #15992 ?x52!15)
-#15994 := (uf_10 #15993)
-#15995 := (* -1::int #15994)
-#16012 := (+ #15995 #15997)
-#15362 := (uf_4 uf_14 ?x52!15)
-#16013 := (+ #15362 #16012)
-#22006 := (>= #16013 0::int)
-#16016 := (= #16013 0::int)
-#16019 := (not #16016)
-#16004 := (uf_6 uf_15 #15992)
-#16005 := (= uf_8 #16004)
-#16006 := (not #16005)
-#16002 := (+ #15362 #15997)
-#16003 := (<= #16002 0::int)
-#16025 := (or #16003 #16006 #16019)
-#16030 := (not #16025)
-#15397 := (* -1::int #15362)
-#16009 := (+ uf_9 #15397)
-#16010 := (<= #16009 0::int)
-#34324 := (not #16010)
-#15398 := (+ #2306 #15397)
-#14218 := (>= #15398 0::int)
-#15367 := (= #2306 #15362)
-decl uf_3 :: (-> T1 T2)
-#20604 := (uf_3 #15993)
-#32578 := (uf_6 uf_15 #20604)
-#32576 := (= uf_8 #32578)
-#5319 := (uf_6 #150 uf_16)
-#5314 := (= uf_8 #5319)
-decl uf_2 :: (-> T1 T2)
-#6008 := (uf_1 uf_16 uf_11)
-#7128 := (uf_2 #6008)
-#32602 := (= #7128 #20604)
-#32591 := (ite #32602 #5314 #32576)
-#7203 := (uf_7 uf_15 #7128 #5319)
-#32554 := (uf_6 #7203 #20604)
-#32538 := (= uf_8 #32554)
-#32564 := (iff #32538 #32591)
-#30 := (:var 1 T5)
-#20 := (:var 2 T2)
-#29 := (:var 3 T4)
-#31 := (uf_7 #29 #20 #30)
-#32 := (uf_6 #31 #11)
-#4314 := (pattern #32)
-#36 := (uf_6 #29 #11)
-#335 := (= uf_8 #36)
-#35 := (= #30 uf_8)
-#24 := (= #11 #20)
-#338 := (ite #24 #35 #335)
-#34 := (= #32 uf_8)
-#341 := (iff #34 #338)
-#4315 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #4314) #341)
-#344 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #341)
-#4318 := (iff #344 #4315)
-#4316 := (iff #341 #341)
-#4317 := [refl]: #4316
-#4319 := [quant-intro #4317]: #4318
-#1953 := (~ #344 #344)
-#1989 := (~ #341 #341)
-#1990 := [refl]: #1989
-#1954 := [nnf-pos #1990]: #1953
-#37 := (= #36 uf_8)
-#38 := (ite #24 #35 #37)
-#39 := (iff #34 #38)
-#40 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #39)
-#345 := (iff #40 #344)
-#342 := (iff #39 #341)
-#339 := (iff #38 #338)
-#336 := (iff #37 #335)
-#337 := [rewrite]: #336
-#340 := [monotonicity #337]: #339
-#343 := [monotonicity #340]: #342
-#346 := [quant-intro #343]: #345
-#333 := [asserted]: #40
-#349 := [mp #333 #346]: #344
-#1991 := [mp~ #349 #1954]: #344
-#4320 := [mp #1991 #4319]: #4315
-#7026 := (not #4315)
-#32561 := (or #7026 #32564)
-#6089 := (= #5319 uf_8)
-#32580 := (= #20604 #7128)
-#32553 := (ite #32580 #6089 #32576)
-#32556 := (= #32554 uf_8)
-#32579 := (iff #32556 #32553)
-#32603 := (or #7026 #32579)
-#32548 := (iff #32603 #32561)
-#32606 := (iff #32561 #32561)
-#32631 := [rewrite]: #32606
-#32629 := (iff #32579 #32564)
-#32535 := (iff #32553 #32591)
-#6101 := (iff #6089 #5314)
-#6102 := [rewrite]: #6101
-#32601 := (iff #32580 #32602)
-#32563 := [rewrite]: #32601
-#32560 := [monotonicity #32563 #6102]: #32535
-#32537 := (iff #32556 #32538)
-#32557 := [rewrite]: #32537
-#32565 := [monotonicity #32557 #32560]: #32629
-#32587 := [monotonicity #32565]: #32548
-#32604 := [trans #32587 #32631]: #32548
-#32558 := [quant-inst]: #32603
-#32623 := [mp #32558 #32604]: #32561
-#32954 := [unit-resolution #32623 #4320]: #32564
-#30313 := (not #32538)
-#8488 := (uf_6 uf_17 ?x52!15)
-#9319 := (= uf_8 #8488)
-#9846 := (not #9319)
-#32968 := (iff #9846 #30313)
-#32955 := (iff #9319 #32538)
-#32985 := (iff #32538 #9319)
-#32980 := (= #32554 #8488)
-#32983 := (= #20604 ?x52!15)
-#20605 := (= ?x52!15 #20604)
-#12 := (uf_1 #10 #11)
-#4294 := (pattern #12)
-#13 := (uf_3 #12)
-#317 := (= #11 #13)
-#4295 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #4294) #317)
-#321 := (forall (vars (?x2 T2) (?x3 T2)) #317)
-#4298 := (iff #321 #4295)
-#4296 := (iff #317 #317)
-#4297 := [refl]: #4296
-#4299 := [quant-intro #4297]: #4298
-#1948 := (~ #321 #321)
-#1980 := (~ #317 #317)
-#1981 := [refl]: #1980
-#1946 := [nnf-pos #1981]: #1948
-#14 := (= #13 #11)
-#15 := (forall (vars (?x2 T2) (?x3 T2)) #14)
-#322 := (iff #15 #321)
-#319 := (iff #14 #317)
-#320 := [rewrite]: #319
-#323 := [quant-intro #320]: #322
-#316 := [asserted]: #15
-#326 := [mp #316 #323]: #321
-#1982 := [mp~ #326 #1946]: #321
-#4300 := [mp #1982 #4299]: #4295
-#5378 := (not #4295)
-#27981 := (or #5378 #20605)
-#27945 := [quant-inst]: #27981
-#32953 := [unit-resolution #27945 #4300]: #20605
-#32984 := [symm #32953]: #32983
-#8596 := (= #7203 uf_17)
-#8594 := (= #150 uf_17)
-#4147 := (or #4677 #109)
-#4148 := [def-axiom]: #4147
-#7307 := [unit-resolution #4148 #7304]: #109
-#4150 := (or #4677 #4412)
-#4130 := [def-axiom]: #4150
-#8027 := [unit-resolution #4130 #7304]: #4412
-#4137 := (or #4677 #4437)
-#4132 := [def-axiom]: #4137
-#8030 := [unit-resolution #4132 #7304]: #4437
-#5284 := (or #4665 #4442 #4417 #1854)
-#4776 := (uf_4 uf_14 ?x64!17)
-#4777 := (* -1::int #4776)
-#4778 := (+ uf_9 #4777)
-#4779 := (<= #4778 0::int)
-#4845 := (?x40!7 ?x64!17)
-#4941 := (uf_6 uf_15 #4845)
-#4942 := (= uf_8 #4941)
-#4943 := (not #4942)
-#4848 := (uf_4 uf_14 #4845)
-#4849 := (* -1::int #4848)
-#4939 := (+ #4776 #4849)
-#4940 := (<= #4939 0::int)
-#4846 := (uf_1 #4845 ?x64!17)
-#4847 := (uf_10 #4846)
-#4842 := (* -1::int #4847)
-#4926 := (+ #4842 #4849)
-#4927 := (+ #4776 #4926)
-#4930 := (= #4927 0::int)
-#4932 := (not #4930)
-#5006 := (or #4932 #4940 #4943)
-#5242 := [hypothesis]: #4668
-#4159 := (or #4665 #933)
-#4154 := [def-axiom]: #4159
-#5243 := [unit-resolution #4154 #5242]: #933
-#4134 := (or #4665 #4659)
-#4135 := [def-axiom]: #4134
-#5244 := [unit-resolution #4135 #5242]: #4659
-#5245 := [hypothesis]: #109
-#5247 := (= #250 #108)
-#5246 := [symm #5243]: #231
-#5248 := [monotonicity #5246]: #5247
-#5249 := [trans #5248 #5245]: #251
-#4193 := (or #4641 #2536)
-#4198 := [def-axiom]: #4193
-#5250 := [unit-resolution #4198 #5249]: #4641
-#5087 := [hypothesis]: #4412
-#4160 := (or #4665 #4601)
-#4133 := [def-axiom]: #4160
-#5230 := [unit-resolution #4133 #5242]: #4601
-#5100 := (or #3693 #4417 #4606 #1053)
-#4862 := (uf_4 uf_14 ?x67!19)
-#3931 := (uf_4 uf_14 ?x66!20)
-#3932 := (* -1::int #3931)
-#4955 := (+ #3932 #4862)
-#4956 := (+ #2517 #4955)
-#4959 := (>= #4956 0::int)
-#4866 := (uf_6 uf_15 ?x67!19)
-#4867 := (= uf_8 #4866)
-#4863 := (* -1::int #4862)
-#4864 := (+ uf_9 #4863)
-#4865 := (<= #4864 0::int)
-#5068 := (not #4865)
-#5072 := [hypothesis]: #3698
-#4189 := (or #3693 #2523)
-#4186 := [def-axiom]: #4189
-#5073 := [unit-resolution #4186 #5072]: #2523
-#5061 := (+ #2514 #4863)
-#5063 := (>= #5061 0::int)
-#5060 := (= #2514 #4862)
-#5075 := (= #4862 #2514)
-#5074 := [hypothesis]: #933
-#5076 := [monotonicity #5074]: #5075
-#5077 := [symm #5076]: #5060
-#5078 := (not #5060)
-#5079 := (or #5078 #5063)
-#5080 := [th-lemma]: #5079
-#5081 := [unit-resolution #5080 #5077]: #5063
-#5069 := (not #5063)
-#5070 := (or #5068 #5069 #2522)
-#5064 := [hypothesis]: #2523
-#5065 := [hypothesis]: #4865
-#5066 := [hypothesis]: #5063
-#5067 := [th-lemma #5066 #5065 #5064]: false
-#5071 := [lemma #5067]: #5070
-#5082 := [unit-resolution #5071 #5081 #5073]: #5068
-#4869 := (or #4865 #4867)
-#5083 := [hypothesis]: #4601
-#4872 := (or #4606 #4865 #4867)
-#4868 := (or #4867 #4865)
-#4873 := (or #4606 #4868)
-#4880 := (iff #4873 #4872)
-#4875 := (or #4606 #4869)
-#4878 := (iff #4875 #4872)
-#4879 := [rewrite]: #4878
-#4876 := (iff #4873 #4875)
-#4870 := (iff #4868 #4869)
-#4871 := [rewrite]: #4870
-#4877 := [monotonicity #4871]: #4876
-#4881 := [trans #4877 #4879]: #4880
-#4874 := [quant-inst]: #4873
-#4882 := [mp #4874 #4881]: #4872
-#5084 := [unit-resolution #4882 #5083]: #4869
-#5085 := [unit-resolution #5084 #5082]: #4867
-#4953 := (not #4867)
-#5088 := (or #4953 #4959)
-#4190 := (or #3693 #2527)
-#4170 := [def-axiom]: #4190
-#5086 := [unit-resolution #4170 #5072]: #2527
-#4970 := (or #4417 #2526 #4953 #4959)
-#4948 := (+ #4862 #3932)
-#4949 := (+ #2517 #4948)
-#4952 := (>= #4949 0::int)
-#4954 := (or #4953 #2526 #4952)
-#4971 := (or #4417 #4954)
-#4978 := (iff #4971 #4970)
-#4965 := (or #2526 #4953 #4959)
-#4973 := (or #4417 #4965)
-#4976 := (iff #4973 #4970)
-#4977 := [rewrite]: #4976
-#4974 := (iff #4971 #4973)
-#4968 := (iff #4954 #4965)
-#4962 := (or #4953 #2526 #4959)
-#4966 := (iff #4962 #4965)
-#4967 := [rewrite]: #4966
-#4963 := (iff #4954 #4962)
-#4960 := (iff #4952 #4959)
-#4957 := (= #4949 #4956)
-#4958 := [rewrite]: #4957
-#4961 := [monotonicity #4958]: #4960
-#4964 := [monotonicity #4961]: #4963
-#4969 := [trans #4964 #4967]: #4968
-#4975 := [monotonicity #4969]: #4974
-#4979 := [trans #4975 #4977]: #4978
-#4972 := [quant-inst]: #4971
-#4980 := [mp #4972 #4979]: #4970
-#5089 := [unit-resolution #4980 #5087 #5086]: #5088
-#5090 := [unit-resolution #5089 #5085]: #4959
-#4171 := (not #3096)
-#4173 := (or #3693 #4171)
-#4174 := [def-axiom]: #4173
-#5091 := [unit-resolution #4174 #5072]: #4171
-#5054 := (+ #2512 #3932)
-#5058 := (<= #5054 0::int)
-#5053 := (= #2512 #3931)
-#5092 := (= #3931 #2512)
-#5093 := [monotonicity #5074]: #5092
-#5094 := [symm #5093]: #5053
-#5095 := (not #5053)
-#5096 := (or #5095 #5058)
-#5097 := [th-lemma]: #5096
-#5098 := [unit-resolution #5097 #5094]: #5058
-#5099 := [th-lemma #5098 #5091 #5081 #5090]: false
-#5101 := [lemma #5099]: #5100
-#5231 := [unit-resolution #5101 #5230 #5087 #5243]: #3693
-#4181 := (or #4650 #4644 #3698)
-#4182 := [def-axiom]: #4181
-#5232 := [unit-resolution #4182 #5231 #5250]: #4650
-#4161 := (or #4653 #4647)
-#4162 := [def-axiom]: #4161
-#5233 := [unit-resolution #4162 #5232]: #4653
-#4169 := (or #4662 #4622 #4656)
-#4155 := [def-axiom]: #4169
-#5234 := [unit-resolution #4155 #5233 #5244]: #4622
-#4194 := (or #4619 #4611)
-#4195 := [def-axiom]: #4194
-#5229 := [unit-resolution #4195 #5234]: #4611
-#5713 := (or #5006 #4616 #1053)
-#5123 := (uf_4 uf_22 #4845)
-#5136 := (* -1::int #5123)
-#5137 := (+ #2448 #5136)
-#5138 := (<= #5137 0::int)
-#5150 := (+ #4842 #5136)
-#5151 := (+ #2448 #5150)
-#5152 := (= #5151 0::int)
-#5382 := (+ #4848 #5136)
-#5387 := (>= #5382 0::int)
-#5381 := (= #4848 #5123)
-#5643 := (= #5123 #4848)
-#5642 := [symm #5074]: #231
-#5644 := [monotonicity #5642]: #5643
-#5645 := [symm #5644]: #5381
-#5646 := (not #5381)
-#5647 := (or #5646 #5387)
-#5648 := [th-lemma]: #5647
-#5649 := [unit-resolution #5648 #5645]: #5387
-#5119 := (+ #2448 #4777)
-#5121 := (>= #5119 0::int)
-#5118 := (= #2448 #4776)
-#5629 := (= #4776 #2448)
-#5630 := [monotonicity #5074]: #5629
-#5631 := [symm #5630]: #5118
-#5632 := (not #5118)
-#5633 := (or #5632 #5121)
-#5628 := [th-lemma]: #5633
-#5634 := [unit-resolution #5628 #5631]: #5121
-#5040 := (>= #4927 0::int)
-#5005 := (not #5006)
-#5635 := [hypothesis]: #5005
-#5042 := (or #5006 #4930)
-#5043 := [def-axiom]: #5042
-#5636 := [unit-resolution #5043 #5635]: #4930
-#5637 := (or #4932 #5040)
-#5638 := [th-lemma]: #5637
-#5653 := [unit-resolution #5638 #5636]: #5040
-#5386 := (<= #5382 0::int)
-#5654 := (or #5646 #5386)
-#5675 := [th-lemma]: #5654
-#5676 := [unit-resolution #5675 #5645]: #5386
-#5120 := (<= #5119 0::int)
-#5677 := (or #5632 #5120)
-#5678 := [th-lemma]: #5677
-#5679 := [unit-resolution #5678 #5631]: #5120
-#5034 := (<= #4927 0::int)
-#5674 := (or #4932 #5034)
-#5680 := [th-lemma]: #5674
-#5681 := [unit-resolution #5680 #5636]: #5034
-#5562 := (not #5387)
-#5567 := (not #5121)
-#5566 := (not #5040)
-#5779 := (not #5386)
-#5778 := (not #5120)
-#5777 := (not #5034)
-#5572 := (or #5152 #5777 #5778 #5779 #5566 #5567 #5562)
-#5774 := [hypothesis]: #5386
-#5775 := [hypothesis]: #5120
-#5776 := [hypothesis]: #5034
-#5157 := (not #5152)
-#5772 := [hypothesis]: #5157
-#5175 := (>= #5151 0::int)
-#5563 := [hypothesis]: #5387
-#5564 := [hypothesis]: #5121
-#5565 := [hypothesis]: #5040
-#5568 := (or #5175 #5566 #5567 #5562)
-#5569 := [th-lemma]: #5568
-#5570 := [unit-resolution #5569 #5565 #5564 #5563]: #5175
-#5784 := (not #5175)
-#5788 := (or #5784 #5152 #5777 #5778 #5779)
-#5773 := [hypothesis]: #5175
-#5174 := (<= #5151 0::int)
-#5780 := (or #5174 #5777 #5778 #5779)
-#5781 := [th-lemma]: #5780
-#5782 := [unit-resolution #5781 #5776 #5775 #5774]: #5174
-#5783 := (not #5174)
-#5785 := (or #5152 #5783 #5784)
-#5786 := [th-lemma]: #5785
-#5787 := [unit-resolution #5786 #5782 #5773 #5772]: false
-#5789 := [lemma #5787]: #5788
-#5571 := [unit-resolution #5789 #5570 #5772 #5776 #5775 #5774]: false
-#5641 := [lemma #5571]: #5572
-#5682 := [unit-resolution #5641 #5681 #5679 #5676 #5653 #5634 #5649]: #5152
-#5160 := (or #5138 #5157)
-#5683 := [hypothesis]: #4611
-#5163 := (or #4616 #5138 #5157)
-#5122 := (+ #2449 #4847)
-#5124 := (+ #5123 #5122)
-#5125 := (= #5124 0::int)
-#5126 := (not #5125)
-#5127 := (+ #5123 #2449)
-#5128 := (>= #5127 0::int)
-#5129 := (or #5128 #5126)
-#5164 := (or #4616 #5129)
-#5171 := (iff #5164 #5163)
-#5166 := (or #4616 #5160)
-#5169 := (iff #5166 #5163)
-#5170 := [rewrite]: #5169
-#5167 := (iff #5164 #5166)
-#5161 := (iff #5129 #5160)
-#5158 := (iff #5126 #5157)
-#5155 := (iff #5125 #5152)
-#5143 := (+ #4847 #5123)
-#5144 := (+ #2449 #5143)
-#5147 := (= #5144 0::int)
-#5153 := (iff #5147 #5152)
-#5154 := [rewrite]: #5153
-#5148 := (iff #5125 #5147)
-#5145 := (= #5124 #5144)
-#5146 := [rewrite]: #5145
-#5149 := [monotonicity #5146]: #5148
-#5156 := [trans #5149 #5154]: #5155
-#5159 := [monotonicity #5156]: #5158
-#5141 := (iff #5128 #5138)
-#5130 := (+ #2449 #5123)
-#5133 := (>= #5130 0::int)
-#5139 := (iff #5133 #5138)
-#5140 := [rewrite]: #5139
-#5134 := (iff #5128 #5133)
-#5131 := (= #5127 #5130)
-#5132 := [rewrite]: #5131
-#5135 := [monotonicity #5132]: #5134
-#5142 := [trans #5135 #5140]: #5141
-#5162 := [monotonicity #5142 #5159]: #5161
-#5168 := [monotonicity #5162]: #5167
-#5172 := [trans #5168 #5170]: #5171
-#5165 := [quant-inst]: #5164
-#5173 := [mp #5165 #5172]: #5163
-#5684 := [unit-resolution #5173 #5683]: #5160
-#5710 := [unit-resolution #5684 #5682]: #5138
-#5041 := (not #4940)
-#5044 := (or #5006 #5041)
-#5045 := [def-axiom]: #5044
-#5711 := [unit-resolution #5045 #5635]: #5041
-#5712 := [th-lemma #5634 #5711 #5649 #5710]: false
-#5714 := [lemma #5712]: #5713
-#5235 := [unit-resolution #5714 #5229 #5243]: #5006
-#5238 := (or #4779 #5005)
-#4191 := (or #4619 #2996)
-#4192 := [def-axiom]: #4191
-#5236 := [unit-resolution #4192 #5234]: #2996
-#5237 := [hypothesis]: #4437
-#5023 := (or #4442 #2993 #4779 #5005)
-#4850 := (+ #4849 #4842)
-#4851 := (+ #4776 #4850)
-#4852 := (= #4851 0::int)
-#4938 := (not #4852)
-#4944 := (or #4943 #4940 #4938)
-#4945 := (not #4944)
-#4946 := (or #2462 #4779 #4945)
-#5025 := (or #4442 #4946)
-#5031 := (iff #5025 #5023)
-#5013 := (or #2993 #4779 #5005)
-#5027 := (or #4442 #5013)
-#5024 := (iff #5027 #5023)
-#5030 := [rewrite]: #5024
-#5028 := (iff #5025 #5027)
-#5014 := (iff #4946 #5013)
-#5011 := (iff #4945 #5005)
-#5009 := (iff #4944 #5006)
-#4935 := (or #4943 #4940 #4932)
-#5007 := (iff #4935 #5006)
-#5008 := [rewrite]: #5007
-#4950 := (iff #4944 #4935)
-#4933 := (iff #4938 #4932)
-#4925 := (iff #4852 #4930)
-#4928 := (= #4851 #4927)
-#4929 := [rewrite]: #4928
-#4931 := [monotonicity #4929]: #4925
-#4934 := [monotonicity #4931]: #4933
-#4951 := [monotonicity #4934]: #4950
-#5010 := [trans #4951 #5008]: #5009
-#5012 := [monotonicity #5010]: #5011
-#5015 := [monotonicity #2995 #5012]: #5014
-#5029 := [monotonicity #5015]: #5028
-#5032 := [trans #5029 #5030]: #5031
-#5026 := [quant-inst]: #5025
-#5033 := [mp #5026 #5032]: #5023
-#5239 := [unit-resolution #5033 #5237 #5236]: #5238
-#5254 := [unit-resolution #5239 #5235]: #4779
-#4200 := (or #4619 #2461)
-#4207 := [def-axiom]: #4200
-#5255 := [unit-resolution #4207 #5234]: #2461
-#5280 := [monotonicity #5243]: #5629
-#5281 := [symm #5280]: #5118
-#5282 := [unit-resolution #5628 #5281]: #5121
-#5283 := [th-lemma #5282 #5255 #5254]: false
-#5279 := [lemma #5283]: #5284
-#8031 := [unit-resolution #5279 #8030 #8027 #7307]: #4665
-#4138 := (or #4677 #4671)
-#4106 := [def-axiom]: #4138
-#7357 := [unit-resolution #4106 #7304]: #4671
-#4143 := (or #4674 #4598 #4668)
-#4144 := [def-axiom]: #4143
-#7389 := [unit-resolution #4144 #7357 #8031]: #4598
-#4125 := (or #4595 #151)
-#4126 := [def-axiom]: #4125
-#8578 := [unit-resolution #4126 #7389]: #151
-#8595 := [symm #8578]: #8594
-#8592 := (= #7203 #150)
-#48 := (:var 0 T5)
-#47 := (:var 2 T4)
-#49 := (uf_7 #47 #10 #48)
-#4329 := (pattern #49)
-#360 := (= uf_8 #48)
-#50 := (uf_6 #49 #10)
-#356 := (= uf_8 #50)
-#363 := (iff #356 #360)
-#4330 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #4329) #363)
-#366 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #363)
-#4333 := (iff #366 #4330)
-#4331 := (iff #363 #363)
-#4332 := [refl]: #4331
-#4334 := [quant-intro #4332]: #4333
-#1957 := (~ #366 #366)
-#1995 := (~ #363 #363)
-#1996 := [refl]: #1995
-#1958 := [nnf-pos #1996]: #1957
-#52 := (= #48 uf_8)
-#51 := (= #50 uf_8)
-#53 := (iff #51 #52)
-#54 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #53)
-#367 := (iff #54 #366)
-#364 := (iff #53 #363)
-#361 := (iff #52 #360)
-#362 := [rewrite]: #361
-#358 := (iff #51 #356)
-#359 := [rewrite]: #358
-#365 := [monotonicity #359 #362]: #364
-#368 := [quant-intro #365]: #367
-#355 := [asserted]: #54
-#371 := [mp #355 #368]: #366
-#1997 := [mp~ #371 #1958]: #366
-#4335 := [mp #1997 #4334]: #4330
-#7014 := (not #4330)
-#7015 := (or #7014 #5314)
-#5318 := (= uf_8 uf_8)
-#5320 := (iff #5314 #5318)
-#7018 := (or #7014 #5320)
-#7020 := (iff #7018 #7015)
-#7022 := (iff #7015 #7015)
-#7023 := [rewrite]: #7022
-#5344 := (iff #5320 #5314)
-#5323 := (iff #5314 true)
-#5342 := (iff #5323 #5314)
-#5343 := [rewrite]: #5342
-#5324 := (iff #5320 #5323)
-#5321 := (iff #5318 true)
-#5322 := [rewrite]: #5321
-#5340 := [monotonicity #5322]: #5324
-#5345 := [trans #5340 #5343]: #5344
-#7021 := [monotonicity #5345]: #7020
-#7024 := [trans #7021 #7023]: #7020
-#7019 := [quant-inst]: #7018
-#7025 := [mp #7019 #7024]: #7015
-#8579 := [unit-resolution #7025 #4335]: #5314
-#8580 := [symm #8579]: #6089
-#8035 := (= #7128 uf_16)
-#7129 := (= uf_16 #7128)
-#16 := (uf_2 #12)
-#325 := (= #10 #16)
-#4301 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #4294) #325)
-#329 := (forall (vars (?x4 T2) (?x5 T2)) #325)
-#4304 := (iff #329 #4301)
-#4302 := (iff #325 #325)
-#4303 := [refl]: #4302
-#4305 := [quant-intro #4303]: #4304
-#1949 := (~ #329 #329)
-#1983 := (~ #325 #325)
-#1984 := [refl]: #1983
-#1950 := [nnf-pos #1984]: #1949
-#17 := (= #16 #10)
-#18 := (forall (vars (?x4 T2) (?x5 T2)) #17)
-#330 := (iff #18 #329)
-#327 := (iff #17 #325)
-#328 := [rewrite]: #327
-#331 := [quant-intro #328]: #330
-#324 := [asserted]: #18
-#334 := [mp #324 #331]: #329
-#1985 := [mp~ #334 #1950]: #329
-#4306 := [mp #1985 #4305]: #4301
-#7136 := (not #4301)
-#7154 := (or #7136 #7129)
-#7155 := [quant-inst]: #7154
-#8034 := [unit-resolution #7155 #4306]: #7129
-#8036 := [symm #8034]: #8035
-#8593 := [monotonicity #8036 #8580]: #8592
-#8591 := [trans #8593 #8595]: #8596
-#32982 := [monotonicity #8591 #32984]: #32980
-#32970 := [monotonicity #32982]: #32985
-#32965 := [symm #32970]: #32955
-#32971 := [monotonicity #32965]: #32968
-#32956 := (not #15367)
-#32950 := [hypothesis]: #32956
-#15373 := (or #9846 #15367)
-#8693 := (= #144 #2212)
-#8633 := (= #2212 #144)
-#6559 := (= ?x46!9 uf_16)
-#7707 := (= ?x46!9 #7128)
-#6330 := (uf_6 uf_15 ?x46!9)
-#6365 := (= uf_8 #6330)
-#7717 := (ite #7707 #5314 #6365)
-#7711 := (uf_6 #7203 ?x46!9)
-#7714 := (= uf_8 #7711)
-#7720 := (iff #7714 #7717)
-#8351 := (or #7026 #7720)
-#7708 := (ite #7707 #6089 #6365)
-#7712 := (= #7711 uf_8)
-#7713 := (iff #7712 #7708)
-#8361 := (or #7026 #7713)
-#8363 := (iff #8361 #8351)
-#8365 := (iff #8351 #8351)
-#8366 := [rewrite]: #8365
-#7721 := (iff #7713 #7720)
-#7718 := (iff #7708 #7717)
-#7719 := [monotonicity #6102]: #7718
-#7715 := (iff #7712 #7714)
-#7716 := [rewrite]: #7715
-#7722 := [monotonicity #7716 #7719]: #7721
-#8364 := [monotonicity #7722]: #8363
-#8367 := [trans #8364 #8366]: #8363
-#8362 := [quant-inst]: #8361
-#8368 := [mp #8362 #8367]: #8351
-#8576 := [unit-resolution #8368 #4320]: #7720
-#8601 := (= #2208 #7711)
-#8597 := (= #7711 #2208)
-#8598 := [monotonicity #8591]: #8597
-#8625 := [symm #8598]: #8601
-#8571 := [hypothesis]: #2836
-#4285 := (or #2831 #2209)
-#4275 := [def-axiom]: #4285
-#8577 := [unit-resolution #4275 #8571]: #2209
-#8626 := [trans #8577 #8625]: #7714
-#8404 := (not #7714)
-#8401 := (not #7720)
-#8405 := (or #8401 #8404 #7717)
-#8400 := [def-axiom]: #8405
-#8627 := [unit-resolution #8400 #8626 #8576]: #7717
-#6393 := (uf_1 uf_16 ?x46!9)
-#6394 := (uf_10 #6393)
-#6337 := (* -1::int #2212)
-#6411 := (+ #6337 #6394)
-#6412 := (+ #144 #6411)
-#6413 := (>= #6412 0::int)
-#8287 := (not #6413)
-#6395 := (* -1::int #6394)
-#6396 := (+ uf_9 #6395)
-#6397 := (<= #6396 0::int)
-#6421 := (or #6397 #6413)
-#6426 := (not #6421)
-#3935 := (not #2825)
-#3940 := (or #2831 #3935)
-#4276 := [def-axiom]: #3940
-#8572 := [unit-resolution #4276 #8571]: #3935
-#4212 := (or #4595 #4456)
-#4213 := [def-axiom]: #4212
-#8574 := [unit-resolution #4213 #7389]: #4456
-#8302 := (or #4461 #2825 #6426)
-#6398 := (+ #1449 #6395)
-#6399 := (+ #2212 #6398)
-#6400 := (<= #6399 0::int)
-#6401 := (or #6400 #6397)
-#6402 := (not #6401)
-#6403 := (or #2213 #6402)
-#8303 := (or #4461 #6403)
-#8310 := (iff #8303 #8302)
-#6429 := (or #2825 #6426)
-#8305 := (or #4461 #6429)
-#8308 := (iff #8305 #8302)
-#8309 := [rewrite]: #8308
-#8306 := (iff #8303 #8305)
-#6430 := (iff #6403 #6429)
-#6427 := (iff #6402 #6426)
-#6424 := (iff #6401 #6421)
-#6418 := (or #6413 #6397)
-#6422 := (iff #6418 #6421)
-#6423 := [rewrite]: #6422
-#6419 := (iff #6401 #6418)
-#6416 := (iff #6400 #6413)
-#6404 := (+ #2212 #6395)
-#6405 := (+ #1449 #6404)
-#6408 := (<= #6405 0::int)
-#6414 := (iff #6408 #6413)
-#6415 := [rewrite]: #6414
-#6409 := (iff #6400 #6408)
-#6406 := (= #6399 #6405)
-#6407 := [rewrite]: #6406
-#6410 := [monotonicity #6407]: #6409
-#6417 := [trans #6410 #6415]: #6416
-#6420 := [monotonicity #6417]: #6419
-#6425 := [trans #6420 #6423]: #6424
-#6428 := [monotonicity #6425]: #6427
-#6431 := [monotonicity #2827 #6428]: #6430
-#8307 := [monotonicity #6431]: #8306
-#8311 := [trans #8307 #8309]: #8310
-#8304 := [quant-inst]: #8303
-#8312 := [mp #8304 #8311]: #8302
-#8628 := [unit-resolution #8312 #8574 #8572]: #6426
-#8288 := (or #6421 #8287)
-#8289 := [def-axiom]: #8288
-#8629 := [unit-resolution #8289 #8628]: #8287
-#8369 := (not #7717)
-#9187 := (or #7707 #6413 #8369)
-#7754 := (uf_1 #7128 ?x46!9)
-#7838 := (uf_3 #7754)
-#9086 := (uf_4 uf_14 #7838)
-#9087 := (* -1::int #9086)
-#7168 := (uf_4 uf_14 #7128)
-#9088 := (+ #7168 #9087)
-#9089 := (>= #9088 0::int)
-#9090 := (uf_6 uf_15 #7838)
-#9091 := (= uf_8 #9090)
-#9139 := (= #6330 #9090)
-#9135 := (= #9090 #6330)
-#9133 := (= #7838 ?x46!9)
-#7839 := (= ?x46!9 #7838)
-#8519 := (or #5378 #7839)
-#8257 := [quant-inst]: #8519
-#9132 := [unit-resolution #8257 #4300]: #7839
-#9134 := [symm #9132]: #9133
-#9136 := [monotonicity #9134]: #9135
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-#9129 := [hypothesis]: #7717
-#7733 := (not #7707)
-#9130 := [hypothesis]: #7733
-#8347 := (or #8369 #7707 #6365)
-#8354 := [def-axiom]: #8347
-#9131 := [unit-resolution #8354 #9130 #9129]: #6365
-#9141 := [trans #9131 #9140]: #9091
-#9092 := (not #9091)
-#9154 := (or #9089 #9092)
-#7246 := (uf_6 uf_15 #7128)
-#7247 := (= uf_8 #7246)
-#9149 := (not #7247)
-#9150 := (iff #588 #9149)
-#9147 := (iff #585 #7247)
-#9145 := (iff #7247 #585)
-#9143 := (= #7246 #141)
-#9144 := [monotonicity #8036]: #9143
-#9146 := [monotonicity #9144]: #9145
-#9148 := [symm #9146]: #9147
-#9151 := [monotonicity #9148]: #9150
-#4127 := (or #4595 #588)
-#4220 := [def-axiom]: #4127
-#9142 := [unit-resolution #4220 #7389]: #588
-#9152 := [mp #9142 #9151]: #9149
-#4076 := (or #4677 #4421)
-#4131 := [def-axiom]: #4076
-#9153 := [unit-resolution #4131 #7304]: #4421
-#9097 := (or #4426 #7247 #9089 #9092)
-#9093 := (or #9092 #7247 #9089)
-#9098 := (or #4426 #9093)
-#9105 := (iff #9098 #9097)
-#9094 := (or #7247 #9089 #9092)
-#9100 := (or #4426 #9094)
-#9103 := (iff #9100 #9097)
-#9104 := [rewrite]: #9103
-#9101 := (iff #9098 #9100)
-#9095 := (iff #9093 #9094)
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-#9102 := [monotonicity #9096]: #9101
-#9106 := [trans #9102 #9104]: #9105
-#9099 := [quant-inst]: #9098
-#9107 := [mp #9099 #9106]: #9097
-#9155 := [unit-resolution #9107 #9153 #9152]: #9154
-#9156 := [unit-resolution #9155 #9141]: #9089
-#9157 := [hypothesis]: #8287
-#7755 := (uf_10 #7754)
-#7756 := (* -1::int #7755)
-#8520 := (+ #6394 #7756)
-#8524 := (>= #8520 0::int)
-#8517 := (= #6394 #7755)
-#9160 := (= #7755 #6394)
-#9158 := (= #7754 #6393)
-#9159 := [monotonicity #8036]: #9158
-#9161 := [monotonicity #9159]: #9160
-#9162 := [symm #9161]: #8517
-#9163 := (not #8517)
-#9164 := (or #9163 #8524)
-#9165 := [th-lemma]: #9164
-#9166 := [unit-resolution #9165 #9162]: #8524
-#8514 := (>= #7755 0::int)
-#7798 := (<= #7755 0::int)
-#7799 := (not #7798)
-#7804 := (or #7707 #7799)
-#59 := (uf_10 #12)
-#409 := (<= #59 0::int)
-#410 := (not #409)
-#58 := (= #10 #11)
-#413 := (or #58 #410)
-#4342 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #4294) #413)
-#416 := (forall (vars (?x22 T2) (?x23 T2)) #413)
-#4345 := (iff #416 #4342)
-#4343 := (iff #413 #413)
-#4344 := [refl]: #4343
-#4346 := [quant-intro #4344]: #4345
-#1963 := (~ #416 #416)
-#1962 := (~ #413 #413)
-#2000 := [refl]: #1962
-#1964 := [nnf-pos #2000]: #1963
-#64 := (< 0::int #59)
-#63 := (not #58)
-#65 := (implies #63 #64)
-#66 := (forall (vars (?x22 T2) (?x23 T2)) #65)
-#419 := (iff #66 #416)
-#403 := (or #58 #64)
-#406 := (forall (vars (?x22 T2) (?x23 T2)) #403)
-#417 := (iff #406 #416)
-#414 := (iff #403 #413)
-#411 := (iff #64 #410)
-#412 := [rewrite]: #411
-#415 := [monotonicity #412]: #414
-#418 := [quant-intro #415]: #417
-#407 := (iff #66 #406)
-#404 := (iff #65 #403)
-#405 := [rewrite]: #404
-#408 := [quant-intro #405]: #407
-#420 := [trans #408 #418]: #419
-#402 := [asserted]: #66
-#421 := [mp #402 #420]: #416
-#2001 := [mp~ #421 #1964]: #416
-#4347 := [mp #2001 #4346]: #4342
-#7093 := (not #4342)
-#8435 := (or #7093 #7707 #7799)
-#7800 := (= #7128 ?x46!9)
-#7801 := (or #7800 #7799)
-#8436 := (or #7093 #7801)
-#8447 := (iff #8436 #8435)
-#8437 := (or #7093 #7804)
-#8443 := (iff #8437 #8435)
-#8444 := [rewrite]: #8443
-#8438 := (iff #8436 #8437)
-#7805 := (iff #7801 #7804)
-#7802 := (iff #7800 #7707)
-#7803 := [rewrite]: #7802
-#7806 := [monotonicity #7803]: #7805
-#8439 := [monotonicity #7806]: #8438
-#8448 := [trans #8439 #8444]: #8447
-#8434 := [quant-inst]: #8436
-#8482 := [mp #8434 #8448]: #8435
-#9167 := [unit-resolution #8482 #4347]: #7804
-#9168 := [unit-resolution #9167 #9130]: #7799
-#9169 := (or #8514 #7798)
-#9170 := [th-lemma]: #9169
-#9171 := [unit-resolution #9170 #9168]: #8514
-#9126 := (+ #2212 #9087)
-#9127 := (<= #9126 0::int)
-#9125 := (= #2212 #9086)
-#9172 := (= #9086 #2212)
-#9173 := [monotonicity #9134]: #9172
-#9174 := [symm #9173]: #9125
-#9175 := (not #9125)
-#9176 := (or #9175 #9127)
-#9177 := [th-lemma]: #9176
-#9178 := [unit-resolution #9177 #9174]: #9127
-#7162 := (* -1::int #7168)
-#7568 := (+ #144 #7162)
-#7572 := (>= #7568 0::int)
-#7233 := (= #144 #7168)
-#9179 := (= #7168 #144)
-#9180 := [monotonicity #8036]: #9179
-#9181 := [symm #9180]: #7233
-#9182 := (not #7233)
-#9183 := (or #9182 #7572)
-#9184 := [th-lemma]: #9183
-#9185 := [unit-resolution #9184 #9181]: #7572
-#9186 := [th-lemma #9185 #9178 #9171 #9166 #9157 #9156]: false
-#9188 := [lemma #9186]: #9187
-#8624 := [unit-resolution #9188 #8629 #8627]: #7707
-#8630 := [trans #8624 #8036]: #6559
-#8634 := [monotonicity #8630]: #8633
-#8694 := [symm #8634]: #8693
-#8695 := (= #2211 #144)
-#5856 := (uf_18 uf_16)
-#8641 := (= #5856 #144)
-#5857 := (= #144 #5856)
-#5844 := (uf_1 uf_16 uf_16)
-#5845 := (uf_10 #5844)
-#5864 := (>= #5845 0::int)
-#5848 := (* -1::int #5845)
-#5849 := (+ uf_9 #5848)
-#5850 := (<= #5849 0::int)
-#5872 := (or #5850 #5864)
-#7965 := (uf_1 #7128 #7128)
-#7966 := (uf_10 #7965)
-#7967 := (* -1::int #7966)
-#8029 := (+ #5845 #7967)
-#8033 := (>= #8029 0::int)
-#8028 := (= #5845 #7966)
-#8039 := (= #5844 #7965)
-#8037 := (= #7965 #5844)
-#8038 := [monotonicity #8036 #8036]: #8037
-#8040 := [symm #8038]: #8039
-#8041 := [monotonicity #8040]: #8028
-#8042 := (not #8028)
-#8043 := (or #8042 #8033)
-#8044 := [th-lemma]: #8043
-#8045 := [unit-resolution #8044 #8041]: #8033
-#7976 := (>= #7966 0::int)
-#7998 := (= #7966 0::int)
-#60 := (= #59 0::int)
-#393 := (or #63 #60)
-#4336 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #4294) #393)
-#396 := (forall (vars (?x20 T2) (?x21 T2)) #393)
-#4339 := (iff #396 #4336)
-#4337 := (iff #393 #393)
-#4338 := [refl]: #4337
-#4340 := [quant-intro #4338]: #4339
-#1959 := (~ #396 #396)
-#1998 := (~ #393 #393)
-#1999 := [refl]: #1998
-#1960 := [nnf-pos #1999]: #1959
-#61 := (implies #58 #60)
-#62 := (forall (vars (?x20 T2) (?x21 T2)) #61)
-#399 := (iff #62 #396)
-#372 := (= 0::int #59)
-#383 := (or #63 #372)
-#388 := (forall (vars (?x20 T2) (?x21 T2)) #383)
-#397 := (iff #388 #396)
-#394 := (iff #383 #393)
-#391 := (iff #372 #60)
-#392 := [rewrite]: #391
-#395 := [monotonicity #392]: #394
-#398 := [quant-intro #395]: #397
-#389 := (iff #62 #388)
-#386 := (iff #61 #383)
-#380 := (implies #58 #372)
-#384 := (iff #380 #383)
-#385 := [rewrite]: #384
-#381 := (iff #61 #380)
-#378 := (iff #60 #372)
-#379 := [rewrite]: #378
-#382 := [monotonicity #379]: #381
-#387 := [trans #382 #385]: #386
-#390 := [quant-intro #387]: #389
-#400 := [trans #390 #398]: #399
-#370 := [asserted]: #62
-#401 := [mp #370 #400]: #396
-#1961 := [mp~ #401 #1960]: #396
-#4341 := [mp #1961 #4340]: #4336
-#6863 := (not #4336)
-#8012 := (or #6863 #7998)
-#7248 := (= #7128 #7128)
-#7999 := (not #7248)
-#8000 := (or #7999 #7998)
-#8013 := (or #6863 #8000)
-#8015 := (iff #8013 #8012)
-#8017 := (iff #8012 #8012)
-#8018 := [rewrite]: #8017
-#8010 := (iff #8000 #7998)
-#8005 := (or false #7998)
-#8008 := (iff #8005 #7998)
-#8009 := [rewrite]: #8008
-#8006 := (iff #8000 #8005)
-#8003 := (iff #7999 false)
-#8001 := (iff #7999 #6849)
-#7256 := (iff #7248 true)
-#7257 := [rewrite]: #7256
-#8002 := [monotonicity #7257]: #8001
-#8004 := [trans #8002 #6853]: #8003
-#8007 := [monotonicity #8004]: #8006
-#8011 := [trans #8007 #8009]: #8010
-#8016 := [monotonicity #8011]: #8015
-#8019 := [trans #8016 #8018]: #8015
-#8014 := [quant-inst]: #8013
-#8020 := [mp #8014 #8019]: #8012
-#8046 := [unit-resolution #8020 #4341]: #7998
-#8047 := (not #7998)
-#8048 := (or #8047 #7976)
-#8049 := [th-lemma]: #8048
-#8050 := [unit-resolution #8049 #8046]: #7976
-#6974 := (not #5864)
-#8051 := [hypothesis]: #6974
-#8052 := [th-lemma #8051 #8050 #8045]: false
-#8053 := [lemma #8052]: #5864
-#6975 := (or #5872 #6974)
-#6976 := [def-axiom]: #6975
-#8573 := [unit-resolution #6976 #8053]: #5872
-#5877 := (not #5872)
-#5880 := (or #5857 #5877)
-#6955 := (or #4461 #5857 #5877)
-#5851 := (+ #1449 #5848)
-#5852 := (+ #144 #5851)
-#5853 := (<= #5852 0::int)
-#5854 := (or #5853 #5850)
-#5855 := (not #5854)
-#5858 := (or #5857 #5855)
-#6956 := (or #4461 #5858)
-#6967 := (iff #6956 #6955)
-#6962 := (or #4461 #5880)
-#6965 := (iff #6962 #6955)
-#6966 := [rewrite]: #6965
-#6963 := (iff #6956 #6962)
-#5881 := (iff #5858 #5880)
-#5878 := (iff #5855 #5877)
-#5875 := (iff #5854 #5872)
-#5869 := (or #5864 #5850)
-#5873 := (iff #5869 #5872)
-#5874 := [rewrite]: #5873
-#5870 := (iff #5854 #5869)
-#5867 := (iff #5853 #5864)
-#5861 := (<= #5848 0::int)
-#5865 := (iff #5861 #5864)
-#5866 := [rewrite]: #5865
-#5862 := (iff #5853 #5861)
-#5859 := (= #5852 #5848)
-#5860 := [rewrite]: #5859
-#5863 := [monotonicity #5860]: #5862
-#5868 := [trans #5863 #5866]: #5867
-#5871 := [monotonicity #5868]: #5870
-#5876 := [trans #5871 #5874]: #5875
-#5879 := [monotonicity #5876]: #5878
-#5882 := [monotonicity #5879]: #5881
-#6964 := [monotonicity #5882]: #6963
-#6968 := [trans #6964 #6966]: #6967
-#6961 := [quant-inst]: #6956
-#6969 := [mp #6961 #6968]: #6955
-#8575 := [unit-resolution #6969 #8574]: #5880
-#8570 := [unit-resolution #8575 #8573]: #5857
-#8642 := [symm #8570]: #8641
-#8631 := (= #2211 #5856)
-#8632 := [monotonicity #8630]: #8631
-#8696 := [trans #8632 #8642]: #8695
-#8697 := [trans #8696 #8694]: #2825
-#8698 := [unit-resolution #8572 #8697]: false
-#8699 := [lemma #8698]: #2831
-#4203 := (or #4595 #4589)
-#4204 := [def-axiom]: #4203
-#9435 := [unit-resolution #4204 #7389]: #4589
-#4209 := (or #4595 #4464)
-#4214 := [def-axiom]: #4209
-#7390 := [unit-resolution #4214 #7389]: #4464
-#6363 := (or #2817 #4469 #4461)
-#6139 := (uf_1 uf_16 ?x45!8)
-#6140 := (uf_10 #6139)
-#6165 := (+ #2191 #6140)
-#6166 := (+ #144 #6165)
-#6192 := (>= #6166 0::int)
-#6169 := (= #6166 0::int)
-#6144 := (* -1::int #6140)
-#6145 := (+ uf_9 #6144)
-#6146 := (<= #6145 0::int)
-#6226 := (not #6146)
-#6158 := (+ #2815 #6140)
-#6159 := (+ #144 #6158)
-#6160 := (>= #6159 0::int)
-#6203 := (or #6146 #6160)
-#6208 := (not #6203)
-#6197 := (= #2190 #2192)
-#6342 := (not #6197)
-#6341 := [hypothesis]: #2822
-#6345 := (or #6342 #2817)
-#6346 := [th-lemma]: #6345
-#6347 := [unit-resolution #6346 #6341]: #6342
-#6348 := [hypothesis]: #4456
-#6214 := (or #4461 #6197 #6208)
-#6147 := (+ #1449 #6144)
-#6148 := (+ #2192 #6147)
-#6149 := (<= #6148 0::int)
-#6193 := (or #6149 #6146)
-#6194 := (not #6193)
-#6195 := (= #2192 #2190)
-#6196 := (or #6195 #6194)
-#6215 := (or #4461 #6196)
-#6222 := (iff #6215 #6214)
-#6211 := (or #6197 #6208)
-#6217 := (or #4461 #6211)
-#6220 := (iff #6217 #6214)
-#6221 := [rewrite]: #6220
-#6218 := (iff #6215 #6217)
-#6212 := (iff #6196 #6211)
-#6209 := (iff #6194 #6208)
-#6206 := (iff #6193 #6203)
-#6200 := (or #6160 #6146)
-#6204 := (iff #6200 #6203)
-#6205 := [rewrite]: #6204
-#6201 := (iff #6193 #6200)
-#6163 := (iff #6149 #6160)
-#6151 := (+ #2192 #6144)
-#6152 := (+ #1449 #6151)
-#6155 := (<= #6152 0::int)
-#6161 := (iff #6155 #6160)
-#6162 := [rewrite]: #6161
-#6156 := (iff #6149 #6155)
-#6153 := (= #6148 #6152)
-#6154 := [rewrite]: #6153
-#6157 := [monotonicity #6154]: #6156
-#6164 := [trans #6157 #6162]: #6163
-#6202 := [monotonicity #6164]: #6201
-#6207 := [trans #6202 #6205]: #6206
-#6210 := [monotonicity #6207]: #6209
-#6198 := (iff #6195 #6197)
-#6199 := [rewrite]: #6198
-#6213 := [monotonicity #6199 #6210]: #6212
-#6219 := [monotonicity #6213]: #6218
-#6223 := [trans #6219 #6221]: #6222
-#6216 := [quant-inst]: #6215
-#6224 := [mp #6216 #6223]: #6214
-#6349 := [unit-resolution #6224 #6348 #6347]: #6208
-#6227 := (or #6203 #6226)
-#6228 := [def-axiom]: #6227
-#6350 := [unit-resolution #6228 #6349]: #6226
-#6229 := (not #6160)
-#6230 := (or #6203 #6229)
-#6231 := [def-axiom]: #6230
-#6351 := [unit-resolution #6231 #6349]: #6229
-#6175 := (or #6146 #6160 #6169)
-#6352 := [hypothesis]: #4464
-#6180 := (or #4469 #6146 #6160 #6169)
-#6141 := (+ #6140 #2191)
-#6142 := (+ #144 #6141)
-#6143 := (= #6142 0::int)
-#6150 := (or #6149 #6146 #6143)
-#6181 := (or #4469 #6150)
-#6188 := (iff #6181 #6180)
-#6183 := (or #4469 #6175)
-#6186 := (iff #6183 #6180)
-#6187 := [rewrite]: #6186
-#6184 := (iff #6181 #6183)
-#6178 := (iff #6150 #6175)
-#6172 := (or #6160 #6146 #6169)
-#6176 := (iff #6172 #6175)
-#6177 := [rewrite]: #6176
-#6173 := (iff #6150 #6172)
-#6170 := (iff #6143 #6169)
-#6167 := (= #6142 #6166)
-#6168 := [rewrite]: #6167
-#6171 := [monotonicity #6168]: #6170
-#6174 := [monotonicity #6164 #6171]: #6173
-#6179 := [trans #6174 #6177]: #6178
-#6185 := [monotonicity #6179]: #6184
-#6189 := [trans #6185 #6187]: #6188
-#6182 := [quant-inst]: #6181
-#6190 := [mp #6182 #6189]: #6180
-#6353 := [unit-resolution #6190 #6352]: #6175
-#6354 := [unit-resolution #6353 #6351 #6350]: #6169
-#6355 := (not #6169)
-#6356 := (or #6355 #6192)
-#6357 := [th-lemma]: #6356
-#6358 := [unit-resolution #6357 #6354]: #6192
-#6225 := (>= #2816 0::int)
-#6359 := (or #6225 #2817)
-#6360 := [th-lemma]: #6359
-#6361 := [unit-resolution #6360 #6341]: #6225
-#6362 := [th-lemma #6361 #6351 #6358]: false
-#6364 := [lemma #6362]: #6363
-#9436 := [unit-resolution #6364 #7390 #8574]: #2817
-#4123 := (or #4592 #2822 #4586)
-#4124 := [def-axiom]: #4123
-#9437 := [unit-resolution #4124 #9436 #9435]: #4586
-#4215 := (or #4583 #4577)
-#4216 := [def-axiom]: #4215
-#9438 := [unit-resolution #4216 #9437]: #4577
-#4111 := (or #4580 #2836 #4574)
-#4070 := [def-axiom]: #4111
-#9439 := [unit-resolution #4070 #9438]: #4577
-#9422 := [unit-resolution #9439 #8699]: #4574
-#4068 := (or #4571 #4481)
-#4069 := [def-axiom]: #4068
-#9423 := [unit-resolution #4069 #9422]: #4481
-#10877 := (or #4486 #9846 #15367)
-#15363 := (= #15362 #2306)
-#15366 := (or #15363 #9846)
-#14529 := (or #4486 #15366)
-#14658 := (iff #14529 #10877)
-#14681 := (or #4486 #15373)
-#14554 := (iff #14681 #10877)
-#14690 := [rewrite]: #14554
-#12540 := (iff #14529 #14681)
-#15376 := (iff #15366 #15373)
-#15370 := (or #15367 #9846)
-#15374 := (iff #15370 #15373)
-#15375 := [rewrite]: #15374
-#15371 := (iff #15366 #15370)
-#15368 := (iff #15363 #15367)
-#15369 := [rewrite]: #15368
-#15372 := [monotonicity #15369]: #15371
-#15377 := [trans #15372 #15375]: #15376
-#14677 := [monotonicity #15377]: #12540
-#14520 := [trans #14677 #14690]: #14658
-#14692 := [quant-inst]: #14529
-#10887 := [mp #14692 #14520]: #10877
-#32978 := [unit-resolution #10887 #9423]: #15373
-#32979 := [unit-resolution #32978 #32950]: #9846
-#32981 := [mp #32979 #32971]: #30313
-#18779 := (= ?x52!15 #7128)
-#32989 := (iff #18779 #32602)
-#32770 := (iff #32602 #18779)
-#25219 := (= #7128 ?x52!15)
-#25223 := (iff #25219 #18779)
-#29787 := [commutativity]: #25223
-#32974 := (iff #32602 #25219)
-#32975 := [monotonicity #32984]: #32974
-#32986 := [trans #32975 #29787]: #32770
-#32991 := [symm #32986]: #32989
-#15413 := (uf_1 uf_16 ?x52!15)
-#15414 := (uf_10 #15413)
-#15439 := (+ #2307 #15414)
-#15440 := (+ #144 #15439)
-#15443 := (= #15440 0::int)
-#15432 := (+ #15397 #15414)
-#15433 := (+ #144 #15432)
-#15434 := (>= #15433 0::int)
-#15418 := (* -1::int #15414)
-#15419 := (+ uf_9 #15418)
-#15420 := (<= #15419 0::int)
-#15473 := (or #15420 #15434)
-#15478 := (not #15473)
-#15481 := (or #15367 #15478)
-#14730 := (or #4461 #15367 #15478)
-#15421 := (+ #1449 #15418)
-#15422 := (+ #15362 #15421)
-#15423 := (<= #15422 0::int)
-#15467 := (or #15423 #15420)
-#15468 := (not #15467)
-#15469 := (or #15363 #15468)
-#14738 := (or #4461 #15469)
-#14986 := (iff #14738 #14730)
-#14556 := (or #4461 #15481)
-#14896 := (iff #14556 #14730)
-#15034 := [rewrite]: #14896
-#14832 := (iff #14738 #14556)
-#15482 := (iff #15469 #15481)
-#15479 := (iff #15468 #15478)
-#15476 := (iff #15467 #15473)
-#15470 := (or #15434 #15420)
-#15474 := (iff #15470 #15473)
-#15475 := [rewrite]: #15474
-#15471 := (iff #15467 #15470)
-#15437 := (iff #15423 #15434)
-#15425 := (+ #15362 #15418)
-#15426 := (+ #1449 #15425)
-#15429 := (<= #15426 0::int)
-#15435 := (iff #15429 #15434)
-#15436 := [rewrite]: #15435
-#15430 := (iff #15423 #15429)
-#15427 := (= #15422 #15426)
-#15428 := [rewrite]: #15427
-#15431 := [monotonicity #15428]: #15430
-#15438 := [trans #15431 #15436]: #15437
-#15472 := [monotonicity #15438]: #15471
-#15477 := [trans #15472 #15475]: #15476
-#15480 := [monotonicity #15477]: #15479
-#15483 := [monotonicity #15369 #15480]: #15482
-#15031 := [monotonicity #15483]: #14832
-#14985 := [trans #15031 #15034]: #14986
-#12501 := [quant-inst]: #14738
-#15678 := [mp #12501 #14985]: #14730
-#32969 := [unit-resolution #15678 #8574]: #15481
-#32952 := [unit-resolution #32969 #32950]: #15478
-#29629 := (or #15473 #15443)
-#25301 := (not #15443)
-#29623 := [hypothesis]: #25301
-#15187 := (not #15420)
-#29624 := [hypothesis]: #15478
-#14833 := (or #15473 #15187)
-#15233 := [def-axiom]: #14833
-#29625 := [unit-resolution #15233 #29624]: #15187
-#8899 := (not #15434)
-#15050 := (or #15473 #8899)
-#15028 := [def-axiom]: #15050
-#29626 := [unit-resolution #15028 #29624]: #8899
-#15449 := (or #15420 #15434 #15443)
-#12503 := (or #4469 #15420 #15434 #15443)
-#15415 := (+ #15414 #2307)
-#15416 := (+ #144 #15415)
-#15417 := (= #15416 0::int)
-#15424 := (or #15423 #15420 #15417)
-#12502 := (or #4469 #15424)
-#14824 := (iff #12502 #12503)
-#14693 := (or #4469 #15449)
-#14698 := (iff #14693 #12503)
-#14734 := [rewrite]: #14698
-#14675 := (iff #12502 #14693)
-#15452 := (iff #15424 #15449)
-#15446 := (or #15434 #15420 #15443)
-#15450 := (iff #15446 #15449)
-#15451 := [rewrite]: #15450
-#15447 := (iff #15424 #15446)
-#15444 := (iff #15417 #15443)
-#15441 := (= #15416 #15440)
-#15442 := [rewrite]: #15441
-#15445 := [monotonicity #15442]: #15444
-#15448 := [monotonicity #15438 #15445]: #15447
-#15453 := [trans #15448 #15451]: #15452
-#14648 := [monotonicity #15453]: #14675
-#14687 := [trans #14648 #14734]: #14824
-#14736 := [quant-inst]: #12502
-#13488 := [mp #14736 #14687]: #12503
-#29627 := [unit-resolution #13488 #7390]: #15449
-#29628 := [unit-resolution #29627 #29626 #29625 #29623]: false
-#29630 := [lemma #29628]: #29629
-#32972 := [unit-resolution #29630 #32952]: #15443
-#29799 := (or #25301 #18779)
-#7126 := (uf_3 #6008)
-#15598 := (uf_1 #7126 ?x52!15)
-#27533 := (uf_3 #15598)
-#28710 := (uf_1 #7128 #27533)
-#28711 := (uf_10 #28710)
-#28714 := (* -1::int #28711)
-#28814 := (+ #15414 #28714)
-#28506 := (>= #28814 0::int)
-#28505 := (= #15414 #28711)
-#29767 := (= #28711 #15414)
-#29765 := (= #28710 #15413)
-#29763 := (= #27533 ?x52!15)
-#27534 := (= ?x52!15 #27533)
-#27563 := (or #5378 #27534)
-#27564 := [quant-inst]: #27563
-#29762 := [unit-resolution #27564 #4300]: #27534
-#29764 := [symm #29762]: #29763
-#29766 := [monotonicity #8036 #29764]: #29765
-#29768 := [monotonicity #29766]: #29767
-#29769 := [symm #29768]: #28505
-#29770 := (not #28505)
-#29771 := (or #29770 #28506)
-#29772 := [th-lemma]: #29771
-#29773 := [unit-resolution #29772 #29769]: #28506
-#5902 := (* -1::int #5856)
-#6232 := (+ #144 #5902)
-#6233 := (>= #6232 0::int)
-#4218 := (or #4583 #4472)
-#4120 := [def-axiom]: #4218
-#14110 := [unit-resolution #4120 #9437]: #4472
-#6959 := (or #4477 #6233)
-#6960 := [quant-inst]: #6959
-#12934 := [unit-resolution #6960 #14110]: #6233
-#7167 := (uf_18 #7128)
-#8141 := (* -1::int #7167)
-#10187 := (+ #5856 #8141)
-#7462 := (>= #10187 0::int)
-#10181 := (= #5856 #7167)
-#14102 := (= #7167 #5856)
-#14103 := [monotonicity #8036]: #14102
-#14104 := [symm #14103]: #10181
-#14105 := (not #10181)
-#25236 := (or #14105 #7462)
-#25243 := [th-lemma]: #25236
-#25235 := [unit-resolution #25243 #14104]: #7462
-#14406 := (<= #15440 0::int)
-#25300 := [hypothesis]: #15443
-#25302 := (or #25301 #14406)
-#25303 := [th-lemma]: #25302
-#25304 := [unit-resolution #25303 #25300]: #14406
-#15344 := (+ #2306 #8141)
-#15518 := (<= #15344 0::int)
-#7164 := (uf_6 uf_17 #7128)
-#7165 := (= uf_8 #7164)
-#25365 := (= #5319 #7164)
-#25361 := (= #7164 #5319)
-#25364 := [monotonicity #8578 #8036]: #25361
-#25366 := [symm #25364]: #25365
-#25367 := [trans #8579 #25366]: #7165
-#15503 := (uf_1 #7128 ?x52!15)
-#15504 := (uf_10 #15503)
-#15530 := (* -1::int #15504)
-#15531 := (+ #8141 #15530)
-#15532 := (+ #2306 #15531)
-#15533 := (= #15532 0::int)
-#25324 := (or #25301 #15533)
-#15538 := (not #15533)
-#25256 := [hypothesis]: #15538
-#14445 := (>= #15532 0::int)
-#14444 := (+ #15414 #15530)
-#14494 := (>= #14444 0::int)
-#14488 := (= #15414 #15504)
-#25275 := (= #15504 #15414)
-#25257 := (= #15503 #15413)
-#25274 := [monotonicity #8036]: #25257
-#25270 := [monotonicity #25274]: #25275
-#25276 := [symm #25270]: #14488
-#25277 := (not #14488)
-#25278 := (or #25277 #14494)
-#25279 := [th-lemma]: #25278
-#25280 := [unit-resolution #25279 #25276]: #14494
-#25306 := (not #14406)
-#25305 := (not #14494)
-#13409 := (not #6233)
-#25299 := (not #7462)
-#25307 := (or #14445 #25299 #13409 #25305 #25306)
-#25308 := [th-lemma]: #25307
-#25309 := [unit-resolution #25308 #25304 #25235 #12934 #25280]: #14445
-#14391 := (<= #15532 0::int)
-#14441 := (<= #14444 0::int)
-#25316 := (or #25277 #14441)
-#25317 := [th-lemma]: #25316
-#25315 := [unit-resolution #25317 #25276]: #14441
-#6970 := (<= #6232 0::int)
-#14098 := (not #5857)
-#14099 := (or #14098 #6970)
-#14100 := [th-lemma]: #14099
-#14101 := [unit-resolution #14100 #8570]: #6970
-#10188 := (<= #10187 0::int)
-#14106 := (or #14105 #10188)
-#14107 := [th-lemma]: #14106
-#14108 := [unit-resolution #14107 #14104]: #10188
-#14435 := (>= #15440 0::int)
-#25318 := (or #25301 #14435)
-#25319 := [th-lemma]: #25318
-#25320 := [unit-resolution #25319 #25300]: #14435
-#25333 := (not #14435)
-#25332 := (not #14441)
-#12642 := (not #6970)
-#25331 := (not #10188)
-#25334 := (or #14391 #25331 #12642 #25332 #25333)
-#25335 := [th-lemma]: #25334
-#25336 := [unit-resolution #25335 #25320 #14108 #14101 #25315]: #14391
-#25314 := (not #14445)
-#25337 := (not #14391)
-#25321 := (or #15533 #25337 #25314)
-#25322 := [th-lemma]: #25321
-#25323 := [unit-resolution #25322 #25336 #25309 #25256]: false
-#25313 := [lemma #25323]: #25324
-#29774 := [unit-resolution #25313 #25300]: #15533
-#7166 := (not #7165)
-#15541 := (or #7166 #15518 #15538)
-#6002 := (+ #108 #1449)
-#7864 := (<= #6002 0::int)
-#23377 := (= #108 #144)
-#12197 := (= #144 #108)
-#5945 := (= uf_16 uf_11)
-#5947 := (= uf_11 uf_16)
-#5928 := (?x40!7 uf_16)
-#5932 := (uf_4 uf_14 #5928)
-#5933 := (* -1::int #5932)
-#5929 := (uf_1 #5928 uf_16)
-#5930 := (uf_10 #5929)
-#5931 := (* -1::int #5930)
-#5950 := (+ #5931 #5933)
-#5951 := (+ #144 #5950)
-#5954 := (= #5951 0::int)
-#5957 := (not #5954)
-#5940 := (uf_6 uf_15 #5928)
-#5941 := (= uf_8 #5940)
-#5942 := (not #5941)
-#5938 := (+ #144 #5933)
-#5939 := (<= #5938 0::int)
-#5963 := (or #5939 #5942 #5957)
-#6003 := (>= #6002 0::int)
-#9539 := (not #7864)
-#23470 := [hypothesis]: #9539
-#23505 := (or #7864 #6003)
-#23465 := [th-lemma]: #23505
-#23464 := [unit-resolution #23465 #23470]: #6003
-#9672 := (not #6003)
-#18009 := (or #9672 #5939)
-#7466 := (>= #5932 0::int)
-#8252 := (not #7466)
-#8253 := [hypothesis]: #8252
-#8212 := (or #4409 #7466)
-#8206 := [quant-inst]: #8212
-#8263 := [unit-resolution #8206 #7305 #8253]: false
-#8264 := [lemma #8263]: #7466
-#17999 := (or #9672 #8252 #5939)
-#4050 := (<= #108 0::int)
-#7308 := (or #1854 #4050)
-#7309 := [th-lemma]: #7308
-#7310 := [unit-resolution #7309 #7307]: #4050
-#5512 := (not #4050)
-#17980 := (or #9672 #5512 #8252 #5939)
-#17982 := [th-lemma]: #17980
-#17995 := [unit-resolution #17982 #7310]: #17999
-#18007 := [unit-resolution #17995 #8264]: #18009
-#23469 := [unit-resolution #18007 #23464]: #5939
-#7005 := (not #5939)
-#7006 := (or #5963 #7005)
-#7007 := [def-axiom]: #7006
-#23506 := [unit-resolution #7007 #23469]: #5963
-#5968 := (not #5963)
-#18000 := (or #5947 #5968)
-#4208 := (or #4595 #1657)
-#4210 := [def-axiom]: #4208
-#16348 := [unit-resolution #4210 #7389]: #1657
-#6992 := (or #4442 #1656 #5947 #5968)
-#5934 := (+ #5933 #5931)
-#5935 := (+ #144 #5934)
-#5936 := (= #5935 0::int)
-#5937 := (not #5936)
-#5943 := (or #5942 #5939 #5937)
-#5944 := (not #5943)
-#5946 := (or #5945 #1656 #5944)
-#6993 := (or #4442 #5946)
-#7000 := (iff #6993 #6992)
-#5974 := (or #1656 #5947 #5968)
-#6995 := (or #4442 #5974)
-#6998 := (iff #6995 #6992)
-#6999 := [rewrite]: #6998
-#6996 := (iff #6993 #6995)
-#5977 := (iff #5946 #5974)
-#5971 := (or #5947 #1656 #5968)
-#5975 := (iff #5971 #5974)
-#5976 := [rewrite]: #5975
-#5972 := (iff #5946 #5971)
-#5969 := (iff #5944 #5968)
-#5966 := (iff #5943 #5963)
-#5960 := (or #5942 #5939 #5957)
-#5964 := (iff #5960 #5963)
-#5965 := [rewrite]: #5964
-#5961 := (iff #5943 #5960)
-#5958 := (iff #5937 #5957)
-#5955 := (iff #5936 #5954)
-#5952 := (= #5935 #5951)
-#5953 := [rewrite]: #5952
-#5956 := [monotonicity #5953]: #5955
-#5959 := [monotonicity #5956]: #5958
-#5962 := [monotonicity #5959]: #5961
-#5967 := [trans #5962 #5965]: #5966
-#5970 := [monotonicity #5967]: #5969
-#5948 := (iff #5945 #5947)
-#5949 := [rewrite]: #5948
-#5973 := [monotonicity #5949 #5970]: #5972
-#5978 := [trans #5973 #5976]: #5977
-#6997 := [monotonicity #5978]: #6996
-#7001 := [trans #6997 #6999]: #7000
-#6994 := [quant-inst]: #6993
-#7002 := [mp #6994 #7001]: #6992
-#18030 := [unit-resolution #7002 #8030 #16348]: #18000
-#23510 := [unit-resolution #18030 #23506]: #5947
-#12009 := [symm #23510]: #5945
-#12163 := [monotonicity #12009]: #12197
-#12023 := [symm #12163]: #23377
-#12215 := (not #23377)
-#12216 := (or #12215 #7864)
-#11464 := [th-lemma]: #12216
-#12217 := [unit-resolution #11464 #23470 #12023]: false
-#12311 := [lemma #12217]: #7864
-#9540 := (or #2234 #9539)
-#6554 := (uf_1 uf_16 ?x47!10)
-#6555 := (uf_10 #6554)
-#6435 := (* -1::int #2233)
-#6597 := (+ #6435 #6555)
-#6598 := (+ #144 #6597)
-#8322 := (<= #6598 0::int)
-#6601 := (= #6598 0::int)
-#6538 := (* -1::int #6555)
-#6539 := (+ uf_9 #6538)
-#6540 := (<= #6539 0::int)
-#8336 := (not #6540)
-#6327 := (uf_4 uf_14 ?x47!10)
-#6471 := (* -1::int #6327)
-#6590 := (+ #6471 #6555)
-#6591 := (+ #144 #6590)
-#6592 := (>= #6591 0::int)
-#6650 := (or #6540 #6592)
-#6660 := (not #6650)
-#6344 := (= #2233 #6327)
-#9327 := (not #6344)
-#6472 := (+ #2233 #6471)
-#8301 := (>= #6472 0::int)
-#9317 := (not #8301)
-#9321 := [hypothesis]: #2235
-#6814 := (>= #6327 0::int)
-#7656 := (or #4409 #6814)
-#7657 := [quant-inst]: #7656
-#9322 := [unit-resolution #7657 #7305]: #6814
-#9323 := (not #6814)
-#9324 := (or #9317 #2234 #9323)
-#9325 := [th-lemma]: #9324
-#9326 := [unit-resolution #9325 #9322 #9321]: #9317
-#9347 := (or #9327 #8301)
-#9348 := [th-lemma]: #9347
-#9349 := [unit-resolution #9348 #9326]: #9327
-#6662 := (or #6344 #6660)
-#8339 := (or #4461 #6344 #6660)
-#6541 := (+ #1449 #6538)
-#6536 := (+ #6327 #6541)
-#6542 := (<= #6536 0::int)
-#6641 := (or #6542 #6540)
-#6642 := (not #6641)
-#6328 := (= #6327 #2233)
-#6643 := (or #6328 #6642)
-#8314 := (or #4461 #6643)
-#8333 := (iff #8314 #8339)
-#8281 := (or #4461 #6662)
-#8343 := (iff #8281 #8339)
-#8332 := [rewrite]: #8343
-#8341 := (iff #8314 #8281)
-#6663 := (iff #6643 #6662)
-#6661 := (iff #6642 #6660)
-#6655 := (iff #6641 #6650)
-#6649 := (or #6592 #6540)
-#6653 := (iff #6649 #6650)
-#6654 := [rewrite]: #6653
-#6651 := (iff #6641 #6649)
-#6595 := (iff #6542 #6592)
-#6544 := (+ #6327 #6538)
-#6545 := (+ #1449 #6544)
-#6562 := (<= #6545 0::int)
-#6593 := (iff #6562 #6592)
-#6594 := [rewrite]: #6593
-#6587 := (iff #6542 #6562)
-#6546 := (= #6536 #6545)
-#6561 := [rewrite]: #6546
-#6589 := [monotonicity #6561]: #6587
-#6596 := [trans #6589 #6594]: #6595
-#6652 := [monotonicity #6596]: #6651
-#6658 := [trans #6652 #6654]: #6655
-#6659 := [monotonicity #6658]: #6661
-#6383 := (iff #6328 #6344)
-#6384 := [rewrite]: #6383
-#6664 := [monotonicity #6384 #6659]: #6663
-#8342 := [monotonicity #6664]: #8341
-#8334 := [trans #8342 #8332]: #8333
-#8340 := [quant-inst]: #8314
-#8335 := [mp #8340 #8334]: #8339
-#9350 := [unit-resolution #8335 #8574]: #6662
-#9351 := [unit-resolution #9350 #9349]: #6660
-#8327 := (or #6650 #8336)
-#8352 := [def-axiom]: #8327
-#9346 := [unit-resolution #8352 #9351]: #8336
-#8360 := (not #6592)
-#8348 := (or #6650 #8360)
-#8353 := [def-axiom]: #8348
-#9352 := [unit-resolution #8353 #9351]: #8360
-#6607 := (or #6540 #6592 #6601)
-#8318 := (or #4469 #6540 #6592 #6601)
-#6556 := (+ #6555 #6435)
-#6557 := (+ #144 #6556)
-#6537 := (= #6557 0::int)
-#6543 := (or #6542 #6540 #6537)
-#8344 := (or #4469 #6543)
-#8331 := (iff #8344 #8318)
-#8349 := (or #4469 #6607)
-#8330 := (iff #8349 #8318)
-#8325 := [rewrite]: #8330
-#8328 := (iff #8344 #8349)
-#6578 := (iff #6543 #6607)
-#6604 := (or #6592 #6540 #6601)
-#6579 := (iff #6604 #6607)
-#6580 := [rewrite]: #6579
-#6605 := (iff #6543 #6604)
-#6602 := (iff #6537 #6601)
-#6599 := (= #6557 #6598)
-#6600 := [rewrite]: #6599
-#6603 := [monotonicity #6600]: #6602
-#6606 := [monotonicity #6596 #6603]: #6605
-#6581 := [trans #6606 #6580]: #6578
-#8329 := [monotonicity #6581]: #8328
-#8320 := [trans #8329 #8325]: #8331
-#8345 := [quant-inst]: #8344
-#8321 := [mp #8345 #8320]: #8318
-#9353 := [unit-resolution #8321 #7390]: #6607
-#9354 := [unit-resolution #9353 #9352 #9346]: #6601
-#9355 := (not #6601)
-#9356 := (or #9355 #8322)
-#9367 := [th-lemma]: #9356
-#9368 := [unit-resolution #9367 #9354]: #8322
-#9369 := [hypothesis]: #7864
-#4041 := (>= #108 0::int)
-#9370 := (or #1854 #4041)
-#9371 := [th-lemma]: #9370
-#9366 := [unit-resolution #9371 #7307]: #4041
-#8900 := (uf_1 #7128 ?x47!10)
-#8901 := (uf_10 #8900)
-#8908 := (* -1::int #8901)
-#9307 := (+ #6555 #8908)
-#9320 := (>= #9307 0::int)
-#9304 := (= #6555 #8901)
-#9374 := (= #8901 #6555)
-#9372 := (= #8900 #6554)
-#9373 := [monotonicity #8036]: #9372
-#9375 := [monotonicity #9373]: #9374
-#9376 := [symm #9375]: #9304
-#9382 := (not #9304)
-#9383 := (or #9382 #9320)
-#9432 := [th-lemma]: #9383
-#9433 := [unit-resolution #9432 #9376]: #9320
-#9287 := (>= #8901 0::int)
-#9080 := (<= #8901 0::int)
-#9207 := (not #9080)
-#8373 := (= ?x47!10 #7128)
-#8730 := (not #8373)
-#6710 := (uf_6 uf_15 ?x47!10)
-#6711 := (= uf_8 #6710)
-#8599 := (ite #8373 #5314 #6711)
-#8729 := (not #8599)
-#7658 := (uf_6 #7203 ?x47!10)
-#8338 := (= uf_8 #7658)
-#8700 := (iff #8338 #8599)
-#8684 := (or #7026 #8700)
-#7640 := (ite #8373 #6089 #6711)
-#7653 := (= #7658 uf_8)
-#8337 := (iff #7653 #7640)
-#8723 := (or #7026 #8337)
-#8725 := (iff #8723 #8684)
-#8726 := (iff #8684 #8684)
-#8722 := [rewrite]: #8726
-#8682 := (iff #8337 #8700)
-#8326 := (iff #7640 #8599)
-#8600 := [monotonicity #6102]: #8326
-#8410 := (iff #7653 #8338)
-#8521 := [rewrite]: #8410
-#8683 := [monotonicity #8521 #8600]: #8682
-#8720 := [monotonicity #8683]: #8725
-#8727 := [trans #8720 #8722]: #8725
-#8724 := [quant-inst]: #8723
-#8728 := [mp #8724 #8727]: #8684
-#9434 := [unit-resolution #8728 #4320]: #8700
-#8895 := (not #8338)
-#6323 := (uf_6 uf_17 ?x47!10)
-#6325 := (= uf_8 #6323)
-#6326 := (not #6325)
-#9431 := (iff #6326 #8895)
-#9429 := (iff #6325 #8338)
-#9427 := (iff #8338 #6325)
-#9426 := (= #7658 #6323)
-#9421 := [monotonicity #8591]: #9426
-#9428 := [monotonicity #9421]: #9427
-#9430 := [symm #9428]: #9429
-#9460 := [monotonicity #9430]: #9431
-#6382 := (or #6326 #6344)
-#8268 := (or #4486 #6326 #6344)
-#6343 := (or #6328 #6326)
-#8269 := (or #4486 #6343)
-#8297 := (iff #8269 #8268)
-#8294 := (or #4486 #6382)
-#8296 := (iff #8294 #8268)
-#8283 := [rewrite]: #8296
-#8284 := (iff #8269 #8294)
-#6390 := (iff #6343 #6382)
-#6385 := (or #6344 #6326)
-#6388 := (iff #6385 #6382)
-#6389 := [rewrite]: #6388
-#6386 := (iff #6343 #6385)
-#6387 := [monotonicity #6384]: #6386
-#6391 := [trans #6387 #6389]: #6390
-#8295 := [monotonicity #6391]: #8284
-#8298 := [trans #8295 #8283]: #8297
-#8293 := [quant-inst]: #8269
-#8299 := [mp #8293 #8298]: #8268
-#9424 := [unit-resolution #8299 #9423]: #6382
-#9425 := [unit-resolution #9424 #9349]: #6326
-#9461 := [mp #9425 #9460]: #8895
-#8917 := (not #8700)
-#8920 := (or #8917 #8338 #8729)
-#8894 := [def-axiom]: #8920
-#9462 := [unit-resolution #8894 #9461 #9434]: #8729
-#9463 := (or #8599 #8730)
-#7040 := (not #5314)
-#8907 := (or #8599 #8730 #7040)
-#8910 := [def-axiom]: #8907
-#9464 := [unit-resolution #8910 #8579]: #9463
-#9459 := [unit-resolution #9464 #9462]: #8730
-#9206 := (or #8373 #9207)
-#9214 := (or #7093 #8373 #9207)
-#9208 := (= #7128 ?x47!10)
-#9209 := (or #9208 #9207)
-#9215 := (or #7093 #9209)
-#9241 := (iff #9215 #9214)
-#9242 := (or #7093 #9206)
-#9245 := (iff #9242 #9214)
-#9246 := [rewrite]: #9245
-#9243 := (iff #9215 #9242)
-#9212 := (iff #9209 #9206)
-#9210 := (iff #9208 #8373)
-#9211 := [rewrite]: #9210
-#9213 := [monotonicity #9211]: #9212
-#9244 := [monotonicity #9213]: #9243
-#9247 := [trans #9244 #9246]: #9241
-#9216 := [quant-inst]: #9215
-#9248 := [mp #9216 #9247]: #9214
-#9465 := [unit-resolution #9248 #4347]: #9206
-#9466 := [unit-resolution #9465 #9459]: #9207
-#9467 := (or #9287 #9080)
-#9468 := [th-lemma]: #9467
-#9469 := [unit-resolution #9468 #9466]: #9287
-#9538 := [th-lemma #9321 #9469 #9433 #9366 #9369 #9368]: false
-#9541 := [lemma #9538]: #9540
-#29775 := [unit-resolution #9541 #12311]: #2234
-#4222 := (or #4571 #4565)
-#4223 := [def-axiom]: #4222
-#25326 := [unit-resolution #4223 #9422]: #4565
-#25357 := (or #4568 #4562)
-#6056 := (= #108 #172)
-#25354 := (iff #6056 #173)
-#25353 := [commutativity]: #1490
-#25351 := (iff #6056 #645)
-#25352 := [monotonicity #7307]: #25351
-#25355 := [trans #25352 #25353]: #25354
-#6015 := (uf_10 #6008)
-#6019 := (* -1::int #6015)
-#6022 := (+ #1449 #6019)
-#6023 := (+ #108 #6022)
-#6024 := (<= #6023 0::int)
-#6020 := (+ uf_9 #6019)
-#6021 := (<= #6020 0::int)
-#6058 := (or #6021 #6024)
-#7125 := (>= #6015 0::int)
-#7105 := (= #6015 0::int)
-#7087 := (<= #6015 0::int)
-#4062 := (not #6024)
-#7293 := [hypothesis]: #4062
-#7312 := (or #7087 #6024)
-#7088 := (not #7087)
-#7292 := [hypothesis]: #7088
-#6001 := (>= #144 0::int)
-#7016 := (or #4409 #6001)
-#7017 := [quant-inst]: #7016
-#7306 := [unit-resolution #7017 #7305]: #6001
-#7311 := [th-lemma #7310 #7306 #7293 #7292]: false
-#7313 := [lemma #7311]: #7312
-#7186 := [unit-resolution #7313 #7293]: #7087
-#7090 := (or #5947 #7088)
-#7094 := (or #7093 #5947 #7088)
-#7089 := (or #5945 #7088)
-#7095 := (or #7093 #7089)
-#7102 := (iff #7095 #7094)
-#7097 := (or #7093 #7090)
-#7100 := (iff #7097 #7094)
-#7101 := [rewrite]: #7100
-#7098 := (iff #7095 #7097)
-#7091 := (iff #7089 #7090)
-#7092 := [monotonicity #5949]: #7091
-#7099 := [monotonicity #7092]: #7098
-#7103 := [trans #7099 #7101]: #7102
-#7096 := [quant-inst]: #7095
-#7104 := [mp #7096 #7103]: #7094
-#7187 := [unit-resolution #7104 #4347]: #7090
-#7182 := [unit-resolution #7187 #7186]: #5947
-#7108 := (not #5947)
-#7111 := (or #7108 #7105)
-#7114 := (or #6863 #7108 #7105)
-#7106 := (not #5945)
-#7107 := (or #7106 #7105)
-#7115 := (or #6863 #7107)
-#7122 := (iff #7115 #7114)
-#7117 := (or #6863 #7111)
-#7120 := (iff #7117 #7114)
-#7121 := [rewrite]: #7120
-#7118 := (iff #7115 #7117)
-#7112 := (iff #7107 #7111)
-#7109 := (iff #7106 #7108)
-#7110 := [monotonicity #5949]: #7109
-#7113 := [monotonicity #7110]: #7112
-#7119 := [monotonicity #7113]: #7118
-#7123 := [trans #7119 #7121]: #7122
-#7116 := [quant-inst]: #7115
-#7124 := [mp #7116 #7123]: #7114
-#7188 := [unit-resolution #7124 #4341]: #7111
-#7189 := [unit-resolution #7188 #7182]: #7105
-#7190 := (not #7105)
-#7191 := (or #7190 #7125)
-#7192 := [th-lemma]: #7191
-#7196 := [unit-resolution #7192 #7189]: #7125
-#7197 := [th-lemma #7310 #7306 #7293 #7196]: false
-#7195 := [lemma #7197]: #6024
-#5757 := (or #6058 #4062)
-#5573 := [def-axiom]: #5757
-#25327 := [unit-resolution #5573 #7195]: #6058
-#6061 := (not #6058)
-#6064 := (or #6056 #6061)
-#6681 := (or #4461 #6056 #6061)
-#6054 := (or #6024 #6021)
-#6055 := (not #6054)
-#6057 := (or #6056 #6055)
-#6682 := (or #4461 #6057)
-#6844 := (iff #6682 #6681)
-#6138 := (or #4461 #6064)
-#6392 := (iff #6138 #6681)
-#6683 := [rewrite]: #6392
-#6118 := (iff #6682 #6138)
-#6065 := (iff #6057 #6064)
-#6062 := (iff #6055 #6061)
-#6059 := (iff #6054 #6058)
-#6060 := [rewrite]: #6059
-#6063 := [monotonicity #6060]: #6062
-#6066 := [monotonicity #6063]: #6065
-#6735 := [monotonicity #6066]: #6118
-#6845 := [trans #6735 #6683]: #6844
-#6137 := [quant-inst]: #6682
-#6878 := [mp #6137 #6845]: #6681
-#25328 := [unit-resolution #6878 #8574]: #6064
-#25329 := [unit-resolution #25328 #25327]: #6056
-#25356 := [mp #25329 #25355]: #173
-#4237 := (or #4568 #1492 #4562)
-#4066 := [def-axiom]: #4237
-#25358 := [unit-resolution #4066 #25356]: #25357
-#25359 := [unit-resolution #25358 #25326]: #4562
-#4232 := (or #4559 #4553)
-#4233 := [def-axiom]: #4232
-#25339 := [unit-resolution #4233 #25359]: #4553
-#4087 := (or #4556 #2235 #4550)
-#4088 := [def-axiom]: #4087
-#25340 := [unit-resolution #4088 #25339]: #4553
-#29776 := [unit-resolution #25340 #29775]: #4550
-#4242 := (or #4547 #4541)
-#4243 := [def-axiom]: #4242
-#29777 := [unit-resolution #4243 #29776]: #4541
-#25343 := (or #4544 #4538)
-#12812 := (= #2249 #5856)
-#12998 := (= ?x48!12 uf_16)
-#10849 := (= ?x48!12 #7128)
-#10847 := (uf_6 uf_15 ?x48!12)
-#10848 := (= uf_8 #10847)
-#10857 := (ite #10849 #5314 #10848)
-#10851 := (uf_6 #7203 ?x48!12)
-#10854 := (= uf_8 #10851)
-#10860 := (iff #10854 #10857)
-#12152 := (or #7026 #10860)
-#10850 := (ite #10849 #6089 #10848)
-#10852 := (= #10851 uf_8)
-#10853 := (iff #10852 #10850)
-#12155 := (or #7026 #10853)
-#10823 := (iff #12155 #12152)
-#10879 := (iff #12152 #12152)
-#10880 := [rewrite]: #10879
-#10861 := (iff #10853 #10860)
-#10858 := (iff #10850 #10857)
-#10859 := [monotonicity #6102]: #10858
-#10855 := (iff #10852 #10854)
-#10856 := [rewrite]: #10855
-#10862 := [monotonicity #10856 #10859]: #10861
-#10824 := [monotonicity #10862]: #10823
-#11111 := [trans #10824 #10880]: #10823
-#12156 := [quant-inst]: #12155
-#11091 := [mp #12156 #11111]: #12152
-#13286 := [unit-resolution #11091 #4320]: #10860
-#12615 := (= #2254 #10851)
-#12608 := (= #10851 #2254)
-#12613 := [monotonicity #8591]: #12608
-#12730 := [symm #12613]: #12615
-#12965 := [hypothesis]: #3403
-#3920 := (or #3398 #2255)
-#4261 := [def-axiom]: #3920
-#12611 := [unit-resolution #4261 #12965]: #2255
-#13209 := [trans #12611 #12730]: #10854
-#11918 := (not #10854)
-#10920 := (not #10860)
-#11919 := (or #10920 #11918 #10857)
-#12057 := [def-axiom]: #11919
-#13217 := [unit-resolution #12057 #13209 #13286]: #10857
-#10236 := (not #10848)
-#11183 := (uf_4 uf_14 ?x48!12)
-#11200 := (* -1::int #11183)
-#13667 := (+ #7168 #11200)
-#13668 := (>= #13667 0::int)
-#13764 := (not #13668)
-#12813 := (+ #2249 #5902)
-#12814 := (<= #12813 0::int)
-#13407 := (not #12814)
-#11572 := (uf_4 uf_14 ?x49!11)
-#11589 := (* -1::int #11572)
-#11709 := (+ #144 #11589)
-#11710 := (<= #11709 0::int)
-#11467 := (uf_6 uf_15 ?x49!11)
-#11468 := (= uf_8 #11467)
-#12026 := (not #11468)
-#11469 := (= ?x49!11 #7128)
-#11477 := (ite #11469 #5314 #11468)
-#12038 := (not #11477)
-#11471 := (uf_6 #7203 ?x49!11)
-#11474 := (= uf_8 #11471)
-#11480 := (iff #11474 #11477)
-#12030 := (or #7026 #11480)
-#11470 := (ite #11469 #6089 #11468)
-#11472 := (= #11471 uf_8)
-#11473 := (iff #11472 #11470)
-#12028 := (or #7026 #11473)
-#12024 := (iff #12028 #12030)
-#12033 := (iff #12030 #12030)
-#12035 := [rewrite]: #12033
-#11481 := (iff #11473 #11480)
-#11478 := (iff #11470 #11477)
-#11479 := [monotonicity #6102]: #11478
-#11475 := (iff #11472 #11474)
-#11476 := [rewrite]: #11475
-#11482 := [monotonicity #11476 #11479]: #11481
-#12032 := [monotonicity #11482]: #12024
-#12036 := [trans #12032 #12035]: #12024
-#12031 := [quant-inst]: #12028
-#12034 := [mp #12031 #12036]: #12030
-#13262 := [unit-resolution #12034 #4320]: #11480
-#12051 := (not #11474)
-#13387 := (iff #2258 #12051)
-#13353 := (iff #2257 #11474)
-#12939 := (iff #11474 #2257)
-#13219 := (= #11471 #2256)
-#13243 := [monotonicity #8591]: #13219
-#13039 := [monotonicity #13243]: #12939
-#13377 := [symm #13039]: #13353
-#13388 := [monotonicity #13377]: #13387
-#3924 := (or #3398 #2258)
-#3925 := [def-axiom]: #3924
-#12937 := [unit-resolution #3925 #12965]: #2258
-#12543 := [mp #12937 #13388]: #12051
-#12047 := (not #11480)
-#12048 := (or #12047 #11474 #12038)
-#12050 := [def-axiom]: #12048
-#12544 := [unit-resolution #12050 #12543 #13262]: #12038
-#12039 := (not #11469)
-#12539 := (or #11477 #12039)
-#12042 := (or #11477 #12039 #7040)
-#12043 := [def-axiom]: #12042
-#12545 := [unit-resolution #12043 #8579]: #12539
-#12546 := [unit-resolution #12545 #12544]: #12039
-#12044 := (or #11477 #11469 #12026)
-#12045 := [def-axiom]: #12044
-#12548 := [unit-resolution #12045 #12546 #12544]: #12026
-#11715 := (or #11468 #11710)
-#4217 := (or #4595 #4446)
-#4221 := [def-axiom]: #4217
-#12574 := [unit-resolution #4221 #7389]: #4446
-#12438 := (or #4451 #11468 #11710)
-#11700 := (+ #11572 #1449)
-#11701 := (>= #11700 0::int)
-#11702 := (or #11468 #11701)
-#12444 := (or #4451 #11702)
-#12454 := (iff #12444 #12438)
-#12448 := (or #4451 #11715)
-#12452 := (iff #12448 #12438)
-#12453 := [rewrite]: #12452
-#12450 := (iff #12444 #12448)
-#11716 := (iff #11702 #11715)
-#11713 := (iff #11701 #11710)
-#11703 := (+ #1449 #11572)
-#11706 := (>= #11703 0::int)
-#11711 := (iff #11706 #11710)
-#11712 := [rewrite]: #11711
-#11707 := (iff #11701 #11706)
-#11704 := (= #11700 #11703)
-#11705 := [rewrite]: #11704
-#11708 := [monotonicity #11705]: #11707
-#11714 := [trans #11708 #11712]: #11713
-#11717 := [monotonicity #11714]: #11716
-#12451 := [monotonicity #11717]: #12450
-#12449 := [trans #12451 #12453]: #12454
-#12447 := [quant-inst]: #12444
-#12455 := [mp #12447 #12449]: #12438
-#12575 := [unit-resolution #12455 #12574]: #11715
-#12576 := [unit-resolution #12575 #12548]: #11710
-#3926 := (not #2855)
-#3927 := (or #3398 #3926)
-#4263 := [def-axiom]: #3927
-#12577 := [unit-resolution #4263 #12965]: #3926
-#13397 := (not #11710)
-#12612 := (or #13407 #2855 #11469 #13397)
-#11605 := (uf_1 uf_16 ?x49!11)
-#11606 := (uf_10 #11605)
-#11631 := (+ #2853 #11606)
-#11632 := (+ #144 #11631)
-#12233 := (<= #11632 0::int)
-#11635 := (= #11632 0::int)
-#11610 := (* -1::int #11606)
-#11611 := (+ uf_9 #11610)
-#11612 := (<= #11611 0::int)
-#12253 := (not #11612)
-#11624 := (+ #11589 #11606)
-#11625 := (+ #144 #11624)
-#11626 := (>= #11625 0::int)
-#11669 := (or #11612 #11626)
-#11674 := (not #11669)
-#11663 := (= #2251 #11572)
-#13437 := (not #11663)
-#11590 := (+ #2251 #11589)
-#12252 := (>= #11590 0::int)
-#13367 := (not #12252)
-#13284 := [hypothesis]: #11710
-#13478 := [hypothesis]: #3926
-#13215 := [hypothesis]: #12814
-#13389 := (or #13367 #13397 #2855 #13407 #13409)
-#13410 := [th-lemma]: #13389
-#13436 := [unit-resolution #13410 #13215 #13478 #13284 #12934]: #13367
-#13434 := (or #13437 #12252)
-#12573 := [th-lemma]: #13434
-#13419 := [unit-resolution #12573 #13436]: #13437
-#11677 := (or #11663 #11674)
-#12241 := (or #4461 #11663 #11674)
-#11613 := (+ #1449 #11610)
-#11614 := (+ #11572 #11613)
-#11615 := (<= #11614 0::int)
-#11659 := (or #11615 #11612)
-#11660 := (not #11659)
-#11661 := (= #11572 #2251)
-#11662 := (or #11661 #11660)
-#12242 := (or #4461 #11662)
-#12249 := (iff #12242 #12241)
-#12245 := (or #4461 #11677)
-#12247 := (iff #12245 #12241)
-#12248 := [rewrite]: #12247
-#12239 := (iff #12242 #12245)
-#11678 := (iff #11662 #11677)
-#11675 := (iff #11660 #11674)
-#11672 := (iff #11659 #11669)
-#11666 := (or #11626 #11612)
-#11670 := (iff #11666 #11669)
-#11671 := [rewrite]: #11670
-#11667 := (iff #11659 #11666)
-#11629 := (iff #11615 #11626)
-#11617 := (+ #11572 #11610)
-#11618 := (+ #1449 #11617)
-#11621 := (<= #11618 0::int)
-#11627 := (iff #11621 #11626)
-#11628 := [rewrite]: #11627
-#11622 := (iff #11615 #11621)
-#11619 := (= #11614 #11618)
-#11620 := [rewrite]: #11619
-#11623 := [monotonicity #11620]: #11622
-#11630 := [trans #11623 #11628]: #11629
-#11668 := [monotonicity #11630]: #11667
-#11673 := [trans #11668 #11671]: #11672
-#11676 := [monotonicity #11673]: #11675
-#11664 := (iff #11661 #11663)
-#11665 := [rewrite]: #11664
-#11679 := [monotonicity #11665 #11676]: #11678
-#12246 := [monotonicity #11679]: #12239
-#12244 := [trans #12246 #12248]: #12249
-#12243 := [quant-inst]: #12242
-#12251 := [mp #12243 #12244]: #12241
-#13417 := [unit-resolution #12251 #8574]: #11677
-#13423 := [unit-resolution #13417 #13419]: #11674
-#12254 := (or #11669 #12253)
-#12258 := [def-axiom]: #12254
-#13426 := [unit-resolution #12258 #13423]: #12253
-#12250 := (not #11626)
-#12259 := (or #11669 #12250)
-#12257 := [def-axiom]: #12259
-#13412 := [unit-resolution #12257 #13423]: #12250
-#11641 := (or #11612 #11626 #11635)
-#12229 := (or #4469 #11612 #11626 #11635)
-#11607 := (+ #11606 #2853)
-#11608 := (+ #144 #11607)
-#11609 := (= #11608 0::int)
-#11616 := (or #11615 #11612 #11609)
-#12222 := (or #4469 #11616)
-#12236 := (iff #12222 #12229)
-#12231 := (or #4469 #11641)
-#12227 := (iff #12231 #12229)
-#12235 := [rewrite]: #12227
-#12232 := (iff #12222 #12231)
-#11644 := (iff #11616 #11641)
-#11638 := (or #11626 #11612 #11635)
-#11642 := (iff #11638 #11641)
-#11643 := [rewrite]: #11642
-#11639 := (iff #11616 #11638)
-#11636 := (iff #11609 #11635)
-#11633 := (= #11608 #11632)
-#11634 := [rewrite]: #11633
-#11637 := [monotonicity #11634]: #11636
-#11640 := [monotonicity #11630 #11637]: #11639
-#11645 := [trans #11640 #11643]: #11644
-#12234 := [monotonicity #11645]: #12232
-#12237 := [trans #12234 #12235]: #12236
-#12230 := [quant-inst]: #12222
-#12238 := [mp #12230 #12237]: #12229
-#13413 := [unit-resolution #12238 #7390]: #11641
-#13433 := [unit-resolution #13413 #13412 #13426]: #11635
-#13370 := (not #11635)
-#13390 := (or #13370 #12233)
-#13391 := [th-lemma]: #13390
-#13385 := [unit-resolution #13391 #13433]: #12233
-#12787 := (uf_1 #7128 ?x49!11)
-#12788 := (uf_10 #12787)
-#12790 := (* -1::int #12788)
-#13285 := (+ #11606 #12790)
-#13280 := (>= #13285 0::int)
-#13216 := (= #11606 #12788)
-#12644 := (= #12788 #11606)
-#12645 := (= #12787 #11605)
-#13418 := [monotonicity #8036]: #12645
-#12646 := [monotonicity #13418]: #12644
-#12578 := [symm #12646]: #13216
-#12641 := (not #13216)
-#12647 := (or #12641 #13280)
-#12643 := [th-lemma]: #12647
-#12582 := [unit-resolution #12643 #12578]: #13280
-#13068 := (<= #12788 0::int)
-#13063 := (not #13068)
-#12581 := [hypothesis]: #12039
-#13211 := (or #7093 #11469 #13063)
-#12936 := (= #7128 ?x49!11)
-#13162 := (or #12936 #13063)
-#13263 := (or #7093 #13162)
-#13354 := (iff #13263 #13211)
-#13255 := (or #11469 #13063)
-#13161 := (or #7093 #13255)
-#13351 := (iff #13161 #13211)
-#13352 := [rewrite]: #13351
-#13071 := (iff #13263 #13161)
-#13069 := (iff #13162 #13255)
-#13204 := (iff #12936 #11469)
-#13265 := [rewrite]: #13204
-#13210 := [monotonicity #13265]: #13069
-#13163 := [monotonicity #13210]: #13071
-#13067 := [trans #13163 #13352]: #13354
-#13160 := [quant-inst]: #13263
-#13355 := [mp #13160 #13067]: #13211
-#12609 := [unit-resolution #13355 #4347 #12581]: #13063
-#12610 := [th-lemma #13478 #13215 #12934 #12609 #12582 #13385]: false
-#12583 := [lemma #12610]: #12612
-#12780 := [unit-resolution #12583 #12577 #12546 #12576]: #13407
-#11201 := (+ #2249 #11200)
-#11202 := (<= #11201 0::int)
-#12087 := (or #4477 #11202)
-#11190 := (+ #11183 #2250)
-#11193 := (>= #11190 0::int)
-#12088 := (or #4477 #11193)
-#12090 := (iff #12088 #12087)
-#12092 := (iff #12087 #12087)
-#12093 := [rewrite]: #12092
-#11205 := (iff #11193 #11202)
-#11194 := (+ #2250 #11183)
-#11197 := (>= #11194 0::int)
-#11203 := (iff #11197 #11202)
-#11204 := [rewrite]: #11203
-#11198 := (iff #11193 #11197)
-#11195 := (= #11190 #11194)
-#11196 := [rewrite]: #11195
-#11199 := [monotonicity #11196]: #11198
-#11206 := [trans #11199 #11204]: #11205
-#12091 := [monotonicity #11206]: #12090
-#12095 := [trans #12091 #12093]: #12090
-#12085 := [quant-inst]: #12088
-#12097 := [mp #12085 #12095]: #12087
-#13218 := [unit-resolution #12097 #14110]: #11202
-#12617 := (not #11202)
-#12729 := (not #7572)
-#12728 := (or #13764 #12729 #12814 #12617 #12642)
-#12733 := [th-lemma]: #12728
-#12616 := [unit-resolution #12733 #13218 #9185 #14101 #12780]: #13764
-#13844 := (or #10236 #13668)
-#13842 := [hypothesis]: #13764
-#13843 := [hypothesis]: #10848
-#13801 := (or #4426 #7247 #10236 #13668)
-#13669 := (or #10236 #7247 #13668)
-#13802 := (or #4426 #13669)
-#13788 := (iff #13802 #13801)
-#13670 := (or #7247 #10236 #13668)
-#13804 := (or #4426 #13670)
-#13786 := (iff #13804 #13801)
-#13787 := [rewrite]: #13786
-#13805 := (iff #13802 #13804)
-#13665 := (iff #13669 #13670)
-#13671 := [rewrite]: #13665
-#13806 := [monotonicity #13671]: #13805
-#13789 := [trans #13806 #13787]: #13788
-#13803 := [quant-inst]: #13802
-#13790 := [mp #13803 #13789]: #13801
-#13838 := [unit-resolution #13790 #9153 #9152 #13843 #13842]: false
-#13845 := [lemma #13838]: #13844
-#12734 := [unit-resolution #13845 #12616]: #10236
-#11030 := (not #10857)
-#11307 := (or #11030 #10849 #10848)
-#11294 := [def-axiom]: #11307
-#12742 := [unit-resolution #11294 #12734 #13217]: #10849
-#12732 := [trans #12742 #8036]: #12998
-#12743 := [monotonicity #12732]: #12812
-#12969 := (not #12812)
-#12967 := (or #12969 #12814)
-#12973 := [th-lemma]: #12967
-#12786 := [unit-resolution #12973 #12780]: #12969
-#12771 := [unit-resolution #12786 #12743]: false
-#12735 := [lemma #12771]: #3398
-#4251 := (or #4544 #3403 #4538)
-#4248 := [def-axiom]: #4251
-#25338 := [unit-resolution #4248 #12735]: #25343
-#29778 := [unit-resolution #25338 #29777]: #4538
-#3968 := (or #4535 #4529)
-#3969 := [def-axiom]: #3968
-#29779 := [unit-resolution #3969 #29778]: #4529
-#25346 := (or #4532 #4526)
-#17148 := [hypothesis]: #3449
-#4266 := (or #3444 #2287)
-#4267 := [def-axiom]: #4266
-#17149 := [unit-resolution #4267 #17148]: #2287
-#9931 := (uf_1 uf_16 ?x50!14)
-#9932 := (uf_10 #9931)
-#9936 := (* -1::int #9932)
-#17081 := (+ #2281 #9936)
-#17083 := (>= #17081 0::int)
-#17080 := (= #2281 #9932)
-#17180 := (= #2280 #9931)
-#17179 := (= ?x51!13 uf_16)
-#10336 := (= ?x51!13 #7128)
-#10334 := (uf_6 uf_15 ?x51!13)
-#10335 := (= uf_8 #10334)
-#10367 := (not #10335)
-#10193 := (uf_4 uf_14 ?x51!13)
-#9874 := (uf_4 uf_14 ?x50!14)
-#9915 := (* -1::int #9874)
-#10384 := (+ #9915 #10193)
-#10385 := (+ #2281 #10384)
-#10388 := (>= #10385 0::int)
-#17156 := (not #10388)
-#9916 := (+ #2276 #9915)
-#9917 := (<= #9916 0::int)
-#16708 := (or #4477 #9917)
-#9907 := (+ #9874 #2277)
-#9908 := (>= #9907 0::int)
-#16709 := (or #4477 #9908)
-#16711 := (iff #16709 #16708)
-#16713 := (iff #16708 #16708)
-#16714 := [rewrite]: #16713
-#9920 := (iff #9908 #9917)
-#9909 := (+ #2277 #9874)
-#9912 := (>= #9909 0::int)
-#9918 := (iff #9912 #9917)
-#9919 := [rewrite]: #9918
-#9913 := (iff #9908 #9912)
-#9910 := (= #9907 #9909)
-#9911 := [rewrite]: #9910
-#9914 := [monotonicity #9911]: #9913
-#9921 := [trans #9914 #9919]: #9920
-#16712 := [monotonicity #9921]: #16711
-#16715 := [trans #16712 #16714]: #16711
-#16710 := [quant-inst]: #16709
-#16716 := [mp #16710 #16715]: #16708
-#17308 := [unit-resolution #16716 #14110]: #9917
-#3906 := (not #2882)
-#4269 := (or #3444 #3906)
-#4271 := [def-axiom]: #4269
-#17151 := [unit-resolution #4271 #17148]: #3906
-#10228 := (* -1::int #10193)
-#10229 := (+ #2278 #10228)
-#15878 := (>= #10229 0::int)
-#10198 := (= #2278 #10193)
-#4262 := (or #3444 #2289)
-#4268 := [def-axiom]: #4262
-#17152 := [unit-resolution #4268 #17148]: #2289
-#16493 := (or #4486 #3429 #10198)
-#10194 := (= #10193 #2278)
-#10197 := (or #10194 #3429)
-#16494 := (or #4486 #10197)
-#16503 := (iff #16494 #16493)
-#10204 := (or #3429 #10198)
-#16498 := (or #4486 #10204)
-#16501 := (iff #16498 #16493)
-#16502 := [rewrite]: #16501
-#16499 := (iff #16494 #16498)
-#10207 := (iff #10197 #10204)
-#10201 := (or #10198 #3429)
-#10205 := (iff #10201 #10204)
-#10206 := [rewrite]: #10205
-#10202 := (iff #10197 #10201)
-#10199 := (iff #10194 #10198)
-#10200 := [rewrite]: #10199
-#10203 := [monotonicity #10200]: #10202
-#10208 := [trans #10203 #10206]: #10207
-#16500 := [monotonicity #10208]: #16499
-#16504 := [trans #16500 #16502]: #16503
-#16497 := [quant-inst]: #16494
-#16505 := [mp #16497 #16504]: #16493
-#17150 := [unit-resolution #16505 #9423 #17152]: #10198
-#17153 := (not #10198)
-#17154 := (or #17153 #15878)
-#17155 := [th-lemma]: #17154
-#17147 := [unit-resolution #17155 #17150]: #15878
-#17313 := (not #9917)
-#17315 := (not #15878)
-#17157 := (or #17156 #17315 #17313 #2882)
-#17158 := [th-lemma]: #17157
-#17159 := [unit-resolution #17158 #17147 #17151 #17308]: #17156
-#17146 := (or #10367 #10388)
-#16749 := (or #4417 #2286 #10367 #10388)
-#10380 := (+ #10193 #9915)
-#10381 := (+ #2281 #10380)
-#10382 := (>= #10381 0::int)
-#10383 := (or #10367 #2286 #10382)
-#16750 := (or #4417 #10383)
-#16757 := (iff #16750 #16749)
-#10394 := (or #2286 #10367 #10388)
-#16752 := (or #4417 #10394)
-#16755 := (iff #16752 #16749)
-#16756 := [rewrite]: #16755
-#16753 := (iff #16750 #16752)
-#10397 := (iff #10383 #10394)
-#10391 := (or #10367 #2286 #10388)
-#10395 := (iff #10391 #10394)
-#10396 := [rewrite]: #10395
-#10392 := (iff #10383 #10391)
-#10389 := (iff #10382 #10388)
-#10386 := (= #10381 #10385)
-#10387 := [rewrite]: #10386
-#10390 := [monotonicity #10387]: #10389
-#10393 := [monotonicity #10390]: #10392
-#10398 := [trans #10393 #10396]: #10397
-#16754 := [monotonicity #10398]: #16753
-#16758 := [trans #16754 #16756]: #16757
-#16751 := [quant-inst]: #16750
-#16759 := [mp #16751 #16758]: #16749
-#17160 := [unit-resolution #16759 #8027 #17149]: #17146
-#17161 := [unit-resolution #17160 #17159]: #10367
-#10344 := (ite #10336 #5314 #10335)
-#10338 := (uf_6 #7203 ?x51!13)
-#10341 := (= uf_8 #10338)
-#10347 := (iff #10341 #10344)
-#16506 := (or #7026 #10347)
-#10337 := (ite #10336 #6089 #10335)
-#10339 := (= #10338 uf_8)
-#10340 := (iff #10339 #10337)
-#16507 := (or #7026 #10340)
-#16509 := (iff #16507 #16506)
-#16511 := (iff #16506 #16506)
-#16512 := [rewrite]: #16511
-#10348 := (iff #10340 #10347)
-#10345 := (iff #10337 #10344)
-#10346 := [monotonicity #6102]: #10345
-#10342 := (iff #10339 #10341)
-#10343 := [rewrite]: #10342
-#10349 := [monotonicity #10343 #10346]: #10348
-#16510 := [monotonicity #10349]: #16509
-#16513 := [trans #16510 #16512]: #16509
-#16508 := [quant-inst]: #16507
-#16514 := [mp #16508 #16513]: #16506
-#17162 := [unit-resolution #16514 #4320]: #10347
-#17171 := (= #2288 #10338)
-#17163 := (= #10338 #2288)
-#17164 := [monotonicity #8591]: #17163
-#17174 := [symm #17164]: #17171
-#17175 := [trans #17152 #17174]: #10341
-#16528 := (not #10341)
-#16525 := (not #10347)
-#16529 := (or #16525 #16528 #10344)
-#16530 := [def-axiom]: #16529
-#17176 := [unit-resolution #16530 #17175 #17162]: #10344
-#16515 := (not #10344)
-#16519 := (or #16515 #10336 #10335)
-#16520 := [def-axiom]: #16519
-#17178 := [unit-resolution #16520 #17176 #17161]: #10336
-#17177 := [trans #17178 #8036]: #17179
-#17181 := [monotonicity #17177]: #17180
-#17182 := [monotonicity #17181]: #17080
-#17187 := (not #17080)
-#17188 := (or #17187 #17083)
-#17186 := [th-lemma]: #17188
-#17189 := [unit-resolution #17186 #17182]: #17083
-#9937 := (+ uf_9 #9936)
-#9938 := (<= #9937 0::int)
-#9950 := (+ #9915 #9932)
-#9951 := (+ #144 #9950)
-#9952 := (>= #9951 0::int)
-#16744 := (not #9952)
-#10475 := (uf_2 #2280)
-#11002 := (uf_4 uf_14 #10475)
-#11016 := (* -1::int #11002)
-#16798 := (+ #10193 #11016)
-#16800 := (>= #16798 0::int)
-#16797 := (= #10193 #11002)
-#10476 := (= ?x51!13 #10475)
-#16793 := (or #7136 #10476)
-#16794 := [quant-inst]: #16793
-#17292 := [unit-resolution #16794 #4306]: #10476
-#17295 := [monotonicity #17292]: #16797
-#17296 := (not #16797)
-#17297 := (or #17296 #16800)
-#17298 := [th-lemma]: #17297
-#17299 := [unit-resolution #17298 #17295]: #16800
-#11017 := (+ #144 #11016)
-#11018 := (<= #11017 0::int)
-#17065 := (= #144 #11002)
-#17202 := (= #11002 #144)
-#17194 := (= #10475 uf_16)
-#17192 := (= #10475 #7128)
-#17190 := (= #10475 ?x51!13)
-#17191 := [symm #17292]: #17190
-#17193 := [trans #17191 #17178]: #17192
-#17195 := [trans #17193 #8036]: #17194
-#17203 := [monotonicity #17195]: #17202
-#17204 := [symm #17203]: #17065
-#17205 := (not #17065)
-#17206 := (or #17205 #11018)
-#17201 := [th-lemma]: #17206
-#17207 := [unit-resolution #17201 #17204]: #11018
-#17316 := (not #11018)
-#17314 := (not #16800)
-#17208 := (not #17083)
-#17209 := (or #16744 #17208 #17313 #2882 #17314 #17315 #17316)
-#17210 := [th-lemma]: #17209
-#17211 := [unit-resolution #17210 #17207 #17308 #17147 #17151 #17299 #17189]: #16744
-#9957 := (+ #2277 #9932)
-#9958 := (+ #144 #9957)
-#9961 := (= #9958 0::int)
-#17223 := (not #9961)
-#16729 := (>= #9958 0::int)
-#17219 := (not #16729)
-#17220 := (or #17219 #17208 #2882 #17314 #17315 #17316)
-#17221 := [th-lemma]: #17220
-#17222 := [unit-resolution #17221 #17207 #17147 #17151 #17299 #17189]: #17219
-#17218 := (or #17223 #16729)
-#17224 := [th-lemma]: #17218
-#17225 := [unit-resolution #17224 #17222]: #17223
-#9967 := (or #9938 #9952 #9961)
-#16717 := (or #4469 #9938 #9952 #9961)
-#9933 := (+ #9932 #2277)
-#9934 := (+ #144 #9933)
-#9935 := (= #9934 0::int)
-#9939 := (+ #1449 #9936)
-#9940 := (+ #9874 #9939)
-#9941 := (<= #9940 0::int)
-#9942 := (or #9941 #9938 #9935)
-#16718 := (or #4469 #9942)
-#16725 := (iff #16718 #16717)
-#16720 := (or #4469 #9967)
-#16723 := (iff #16720 #16717)
-#16724 := [rewrite]: #16723
-#16721 := (iff #16718 #16720)
-#9970 := (iff #9942 #9967)
-#9964 := (or #9952 #9938 #9961)
-#9968 := (iff #9964 #9967)
-#9969 := [rewrite]: #9968
-#9965 := (iff #9942 #9964)
-#9962 := (iff #9935 #9961)
-#9959 := (= #9934 #9958)
-#9960 := [rewrite]: #9959
-#9963 := [monotonicity #9960]: #9962
-#9955 := (iff #9941 #9952)
-#9943 := (+ #9874 #9936)
-#9944 := (+ #1449 #9943)
-#9947 := (<= #9944 0::int)
-#9953 := (iff #9947 #9952)
-#9954 := [rewrite]: #9953
-#9948 := (iff #9941 #9947)
-#9945 := (= #9940 #9944)
-#9946 := [rewrite]: #9945
-#9949 := [monotonicity #9946]: #9948
-#9956 := [trans #9949 #9954]: #9955
-#9966 := [monotonicity #9956 #9963]: #9965
-#9971 := [trans #9966 #9969]: #9970
-#16722 := [monotonicity #9971]: #16721
-#16726 := [trans #16722 #16724]: #16725
-#16719 := [quant-inst]: #16718
-#16727 := [mp #16719 #16726]: #16717
-#17226 := [unit-resolution #16727 #7390]: #9967
-#17227 := [unit-resolution #17226 #17225 #17211]: #9938
-#17228 := [th-lemma #17227 #17189 #17149]: false
-#17253 := [lemma #17228]: #3444
-#4253 := (or #4532 #3449 #4526)
-#4257 := [def-axiom]: #4253
-#25347 := [unit-resolution #4257 #17253]: #25346
-#29780 := [unit-resolution #25347 #29779]: #4526
-#3983 := (or #4523 #4515)
-#3984 := [def-axiom]: #3983
-#29781 := [unit-resolution #3984 #29780]: #4515
-#20547 := (or #4520 #7166 #15518 #15538)
-#15505 := (+ #2307 #15504)
-#15506 := (+ #7167 #15505)
-#15507 := (= #15506 0::int)
-#15508 := (not #15507)
-#15509 := (+ #7167 #2307)
-#15510 := (>= #15509 0::int)
-#15511 := (or #7166 #15510 #15508)
-#17626 := (or #4520 #15511)
-#20578 := (iff #17626 #20547)
-#20549 := (or #4520 #15541)
-#20516 := (iff #20549 #20547)
-#20517 := [rewrite]: #20516
-#20386 := (iff #17626 #20549)
-#15542 := (iff #15511 #15541)
-#15539 := (iff #15508 #15538)
-#15536 := (iff #15507 #15533)
-#15523 := (+ #7167 #15504)
-#15524 := (+ #2307 #15523)
-#15527 := (= #15524 0::int)
-#15534 := (iff #15527 #15533)
-#15535 := [rewrite]: #15534
-#15528 := (iff #15507 #15527)
-#15525 := (= #15506 #15524)
-#15526 := [rewrite]: #15525
-#15529 := [monotonicity #15526]: #15528
-#15537 := [trans #15529 #15535]: #15536
-#15540 := [monotonicity #15537]: #15539
-#15521 := (iff #15510 #15518)
-#15512 := (+ #2307 #7167)
-#15515 := (>= #15512 0::int)
-#15519 := (iff #15515 #15518)
-#15520 := [rewrite]: #15519
-#15516 := (iff #15510 #15515)
-#15513 := (= #15509 #15512)
-#15514 := [rewrite]: #15513
-#15517 := [monotonicity #15514]: #15516
-#15522 := [trans #15517 #15520]: #15521
-#15543 := [monotonicity #15522 #15540]: #15542
-#20388 := [monotonicity #15543]: #20386
-#20485 := [trans #20388 #20517]: #20578
-#20612 := [quant-inst]: #17626
-#20795 := [mp #20612 #20485]: #20547
-#29782 := [unit-resolution #20795 #29781]: #15541
-#29783 := [unit-resolution #29782 #29774 #25367]: #15518
-#28771 := (<= #28711 0::int)
-#28772 := (not #28771)
-#28773 := (= #7128 #27533)
-#29792 := (not #28773)
-#28056 := (not #18779)
-#29793 := (iff #28056 #29792)
-#29790 := (iff #18779 #28773)
-#29788 := (iff #28773 #18779)
-#29785 := (iff #28773 #25219)
-#29786 := [monotonicity #29764]: #29785
-#29789 := [trans #29786 #29787]: #29788
-#29791 := [symm #29789]: #29790
-#29794 := [monotonicity #29791]: #29793
-#29784 := [hypothesis]: #28056
-#29795 := [mp #29784 #29794]: #29792
-#28775 := (or #28772 #28773)
-#29743 := (or #7093 #28772 #28773)
-#28774 := (or #28773 #28772)
-#29744 := (or #7093 #28774)
-#29751 := (iff #29744 #29743)
-#29746 := (or #7093 #28775)
-#29749 := (iff #29746 #29743)
-#29750 := [rewrite]: #29749
-#29747 := (iff #29744 #29746)
-#28776 := (iff #28774 #28775)
-#28777 := [rewrite]: #28776
-#29748 := [monotonicity #28777]: #29747
-#29752 := [trans #29748 #29750]: #29751
-#29745 := [quant-inst]: #29744
-#29753 := [mp #29745 #29752]: #29743
-#29796 := [unit-resolution #29753 #4347]: #28775
-#29797 := [unit-resolution #29796 #29795]: #28772
-#29798 := [th-lemma #29797 #29783 #25304 #25235 #12934 #29773]: false
-#29800 := [lemma #29798]: #29799
-#32973 := [unit-resolution #29800 #32972]: #18779
-#32992 := [mp #32973 #32991]: #32602
-#32632 := (not #32602)
-#32993 := (or #32591 #32632)
-#29702 := (or #32591 #32632 #7040)
-#30315 := [def-axiom]: #29702
-#32995 := [unit-resolution #30315 #8579]: #32993
-#32996 := [unit-resolution #32995 #32992]: #32591
-#32599 := (not #32591)
-#28920 := (not #32564)
-#30916 := (or #28920 #32538 #32599)
-#31002 := [def-axiom]: #30916
-#32987 := [unit-resolution #31002 #32996 #32981 #32954]: false
-#32997 := [lemma #32987]: #15367
-#39375 := (or #32956 #14218)
-#39376 := [th-lemma]: #39375
-#39377 := [unit-resolution #39376 #32997]: #14218
-#34351 := (not #14218)
-#34357 := (or #34324 #34351)
-#4272 := (or #4523 #2319)
-#4270 := [def-axiom]: #4272
-#34292 := [unit-resolution #4270 #29780]: #2319
-#34293 := [hypothesis]: #14218
-#34291 := [hypothesis]: #16010
-#34294 := [th-lemma #34291 #34293 #34292]: false
-#34641 := [lemma #34294]: #34357
-#39378 := [unit-resolution #34641 #39377]: #34324
-#39380 := (or #16010 #16030)
-#4273 := (or #4523 #2896)
-#4259 := [def-axiom]: #4273
-#39379 := [unit-resolution #4259 #29780]: #2896
-#17785 := (or #4442 #2893 #16010 #16030)
-#15998 := (+ #15997 #15995)
-#15999 := (+ #15362 #15998)
-#16000 := (= #15999 0::int)
-#16001 := (not #16000)
-#16007 := (or #16006 #16003 #16001)
-#16008 := (not #16007)
-#16011 := (or #2320 #16010 #16008)
-#20897 := (or #4442 #16011)
-#21453 := (iff #20897 #17785)
-#16033 := (or #2893 #16010 #16030)
-#21128 := (or #4442 #16033)
-#18084 := (iff #21128 #17785)
-#22003 := [rewrite]: #18084
-#20788 := (iff #20897 #21128)
-#16034 := (iff #16011 #16033)
-#16031 := (iff #16008 #16030)
-#16028 := (iff #16007 #16025)
-#16022 := (or #16006 #16003 #16019)
-#16026 := (iff #16022 #16025)
-#16027 := [rewrite]: #16026
-#16023 := (iff #16007 #16022)
-#16020 := (iff #16001 #16019)
-#16017 := (iff #16000 #16016)
-#16014 := (= #15999 #16013)
-#16015 := [rewrite]: #16014
-#16018 := [monotonicity #16015]: #16017
-#16021 := [monotonicity #16018]: #16020
-#16024 := [monotonicity #16021]: #16023
-#16029 := [trans #16024 #16027]: #16028
-#16032 := [monotonicity #16029]: #16031
-#16035 := [monotonicity #2895 #16032]: #16034
-#21237 := [monotonicity #16035]: #20788
-#21330 := [trans #21237 #22003]: #21453
-#21234 := [quant-inst]: #20897
-#21506 := [mp #21234 #21330]: #17785
-#39381 := [unit-resolution #21506 #8030 #39379]: #39380
-#39382 := [unit-resolution #39381 #39378]: #16030
-#22030 := (or #16025 #16016)
-#18058 := [def-axiom]: #22030
-#32365 := [unit-resolution #18058 #39382]: #16016
-#32368 := (or #16019 #22006)
-#29568 := [th-lemma]: #32368
-#29612 := [unit-resolution #29568 #32365]: #22006
-#20411 := (+ uf_9 #15995)
-#20412 := (<= #20411 0::int)
-#20215 := (uf_6 uf_17 #15992)
-#20216 := (= uf_8 #20215)
-#20606 := (uf_2 #15993)
-#39327 := (uf_6 #7203 #20606)
-#38901 := (= #39327 #20215)
-#38905 := (= #20215 #39327)
-#20607 := (= #15992 #20606)
-#25402 := (or #7136 #20607)
-#25393 := [quant-inst]: #25402
-#39384 := [unit-resolution #25393 #4306]: #20607
-#8247 := (= uf_17 #7203)
-#8291 := (= #150 #7203)
-#8151 := [symm #8593]: #8291
-#8423 := [trans #8578 #8151]: #8247
-#38906 := [monotonicity #8423 #39384]: #38905
-#38907 := [symm #38906]: #38901
-#39330 := (= uf_8 #39327)
-#21345 := (uf_6 uf_15 #20606)
-#21346 := (= uf_8 #21345)
-#39333 := (= #7128 #20606)
-#39336 := (ite #39333 #5314 #21346)
-#39339 := (iff #39330 #39336)
-#38867 := (or #7026 #39339)
-#39325 := (= #20606 #7128)
-#39326 := (ite #39325 #6089 #21346)
-#39328 := (= #39327 uf_8)
-#39329 := (iff #39328 #39326)
-#38877 := (or #7026 #39329)
-#38879 := (iff #38877 #38867)
-#38890 := (iff #38867 #38867)
-#38888 := [rewrite]: #38890
-#39340 := (iff #39329 #39339)
-#39337 := (iff #39326 #39336)
-#39334 := (iff #39325 #39333)
-#39335 := [rewrite]: #39334
-#39338 := [monotonicity #39335 #6102]: #39337
-#39331 := (iff #39328 #39330)
-#39332 := [rewrite]: #39331
-#39341 := [monotonicity #39332 #39338]: #39340
-#38889 := [monotonicity #39341]: #38879
-#38894 := [trans #38889 #38888]: #38879
-#38878 := [quant-inst]: #38877
-#38893 := [mp #38878 #38894]: #38867
-#38919 := [unit-resolution #38893 #4320]: #39339
-#38895 := (not #39339)
-#38922 := (or #38895 #39330)
-#39351 := (not #39336)
-#39371 := [hypothesis]: #39351
-#39352 := (not #39333)
-#39372 := (or #39336 #39352)
-#39357 := (or #39336 #39352 #7040)
-#39358 := [def-axiom]: #39357
-#39373 := [unit-resolution #39358 #8579]: #39372
-#39374 := [unit-resolution #39373 #39371]: #39352
-#39394 := (or #39336 #39333)
-#39391 := (= #16004 #21345)
-#39387 := (= #21345 #16004)
-#39385 := (= #20606 #15992)
-#39386 := [symm #39384]: #39385
-#39388 := [monotonicity #39386]: #39387
-#39392 := [symm #39388]: #39391
-#21698 := (or #16025 #16005)
-#21997 := [def-axiom]: #21698
-#39383 := [unit-resolution #21997 #39382]: #16005
-#39393 := [trans #39383 #39392]: #21346
-#21347 := (not #21346)
-#39359 := (or #39336 #39333 #21347)
-#39360 := [def-axiom]: #39359
-#39395 := [unit-resolution #39360 #39393]: #39394
-#39396 := [unit-resolution #39395 #39374 #39371]: false
-#39397 := [lemma #39396]: #39336
-#38896 := (or #38895 #39330 #39351)
-#38897 := [def-axiom]: #38896
-#38902 := [unit-resolution #38897 #39397]: #38922
-#38903 := [unit-resolution #38902 #38919]: #39330
-#38908 := [trans #38903 #38907]: #20216
-#20217 := (not #20216)
-#38921 := [hypothesis]: #20217
-#38924 := [unit-resolution #38921 #38908]: false
-#38927 := [lemma #38924]: #20216
-#20218 := (uf_18 #15992)
-#20235 := (* -1::int #20218)
-#20421 := (+ #15995 #20235)
-#20422 := (+ #2306 #20421)
-#20423 := (<= #20422 0::int)
-#31764 := (not #20423)
-#26473 := (>= #20422 0::int)
-#20236 := (+ #15996 #20235)
-#20237 := (>= #20236 0::int)
-#25927 := (or #4477 #20237)
-#26030 := [quant-inst]: #25927
-#27294 := [unit-resolution #26030 #14110]: #20237
-#32338 := (not #20237)
-#29920 := (not #22006)
-#29919 := (or #26473 #29920 #34351 #32338)
-#32347 := [th-lemma]: #29919
-#32336 := [unit-resolution #32347 #29612 #27294 #39377]: #26473
-#20465 := (= #20422 0::int)
-#20470 := (not #20465)
-#20454 := (+ #2306 #20235)
-#20455 := (<= #20454 0::int)
-#32331 := (not #20455)
-#22027 := (not #16003)
-#21587 := (or #16025 #22027)
-#21112 := [def-axiom]: #21587
-#32344 := [unit-resolution #21112 #39382]: #22027
-#32343 := (or #32331 #16003 #34351 #32338)
-#32335 := [th-lemma]: #32343
-#32375 := [unit-resolution #32335 #32344 #27294 #39377]: #32331
-#20473 := (or #20217 #20455 #20470)
-#25436 := (or #4520 #20217 #20455 #20470)
-#20442 := (+ #2307 #15994)
-#20443 := (+ #20218 #20442)
-#20444 := (= #20443 0::int)
-#20445 := (not #20444)
-#20406 := (+ #20218 #2307)
-#20446 := (>= #20406 0::int)
-#20447 := (or #20217 #20446 #20445)
-#26505 := (or #4520 #20447)
-#26705 := (iff #26505 #25436)
-#11899 := (or #4520 #20473)
-#26697 := (iff #11899 #25436)
-#26704 := [rewrite]: #26697
-#25435 := (iff #26505 #11899)
-#20474 := (iff #20447 #20473)
-#20471 := (iff #20445 #20470)
-#20468 := (iff #20444 #20465)
-#20414 := (+ #15994 #20218)
-#20415 := (+ #2307 #20414)
-#20462 := (= #20415 0::int)
-#20466 := (iff #20462 #20465)
-#20467 := [rewrite]: #20466
-#20463 := (iff #20444 #20462)
-#20460 := (= #20443 #20415)
-#20461 := [rewrite]: #20460
-#20464 := [monotonicity #20461]: #20463
-#20469 := [trans #20464 #20467]: #20468
-#20472 := [monotonicity #20469]: #20471
-#20458 := (iff #20446 #20455)
-#20448 := (+ #2307 #20218)
-#20451 := (>= #20448 0::int)
-#20456 := (iff #20451 #20455)
-#20457 := [rewrite]: #20456
-#20452 := (iff #20446 #20451)
-#20449 := (= #20406 #20448)
-#20450 := [rewrite]: #20449
-#20453 := [monotonicity #20450]: #20452
-#20459 := [trans #20453 #20457]: #20458
-#20475 := [monotonicity #20459 #20472]: #20474
-#26696 := [monotonicity #20475]: #25435
-#26698 := [trans #26696 #26704]: #26705
-#26504 := [quant-inst]: #26505
-#26615 := [mp #26504 #26698]: #25436
-#29644 := [unit-resolution #26615 #29781]: #20473
-#29611 := [unit-resolution #29644 #38927 #32375]: #20470
-#32349 := (not #26473)
-#31762 := (or #20465 #31764 #32349)
-#29679 := [th-lemma]: #31762
-#32366 := [unit-resolution #29679 #29611 #32336]: #31764
-#20428 := (or #20217 #20412 #20423)
-#4260 := (or #4523 #4506)
-#3982 := [def-axiom]: #4260
-#29894 := [unit-resolution #3982 #29780]: #4506
-#26338 := (or #4511 #20217 #20412 #20423)
-#20407 := (+ #15994 #20406)
-#20410 := (>= #20407 0::int)
-#20413 := (or #20217 #20412 #20410)
-#26340 := (or #4511 #20413)
-#25469 := (iff #26340 #26338)
-#10685 := (or #4511 #20428)
-#25478 := (iff #10685 #26338)
-#25474 := [rewrite]: #25478
-#25437 := (iff #26340 #10685)
-#20429 := (iff #20413 #20428)
-#20426 := (iff #20410 #20423)
-#20418 := (>= #20415 0::int)
-#20424 := (iff #20418 #20423)
-#20425 := [rewrite]: #20424
-#20419 := (iff #20410 #20418)
-#20416 := (= #20407 #20415)
-#20417 := [rewrite]: #20416
-#20420 := [monotonicity #20417]: #20419
-#20427 := [trans #20420 #20425]: #20426
-#20430 := [monotonicity #20427]: #20429
-#25388 := [monotonicity #20430]: #25437
-#25466 := [trans #25388 #25474]: #25469
-#25477 := [quant-inst]: #26340
-#25432 := [mp #25477 #25466]: #26338
-#31826 := [unit-resolution #25432 #29894]: #20428
-#29616 := [unit-resolution #31826 #32366 #38927]: #20412
-[th-lemma #34292 #39377 #29616 #29612 #29563]: false
-unsat