0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.12/0.33 % Computer : n025.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 300 0.12/0.33 % WCLimit : 300 0.12/0.33 % DateTime : Fri Jul 5 04:27:24 EDT 2024 0.12/0.34 % CPUTime : 0.19/0.35 This is a THF_ problem 0.19/0.36 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.39 % (30592)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.19/0.39 % (30593)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.19/0.39 % (30596)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.19/0.39 % (30595)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.19/0.39 % (30594)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.19/0.39 % (30597)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on theBenchmark for (2999ds/74Mi) 0.19/0.39 % (30598)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.19/0.39 % (30599)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.19/0.39 % (30598)Instruction limit reached! 0.19/0.39 % (30598)------------------------------ 0.19/0.39 % (30598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.39 % (30598)Termination reason: Unknown 0.19/0.39 % (30598)Termination phase: shuffling 0.19/0.39 0.19/0.39 % (30598)Memory used [KB]: 1279 0.19/0.39 % (30598)Time elapsed: 0.004 s 0.19/0.39 % (30598)Instructions burned: 5 (million) 0.19/0.39 % (30598)------------------------------ 0.19/0.39 % (30598)------------------------------ 0.19/0.40 % (30596)Instruction limit reached! 0.19/0.40 % (30596)------------------------------ 0.19/0.40 % (30596)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.40 % (30596)Termination reason: Unknown 0.19/0.40 % (30596)Termination phase: shuffling 0.19/0.40 0.19/0.40 % (30596)Memory used [KB]: 1663 0.19/0.40 % (30596)Time elapsed: 0.011 s 0.19/0.40 % (30596)Instructions burned: 18 (million) 0.19/0.40 % (30596)------------------------------ 0.19/0.40 % (30596)------------------------------ 0.19/0.40 % (30594)Instruction limit reached! 0.19/0.40 % (30594)------------------------------ 0.19/0.40 % (30594)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.40 % (30594)Termination reason: Unknown 0.19/0.40 % (30594)Termination phase: Property scanning 0.19/0.40 0.19/0.40 % (30594)Memory used [KB]: 1791 0.19/0.40 % (30594)Time elapsed: 0.019 s 0.19/0.40 % (30594)Instructions burned: 34 (million) 0.19/0.40 % (30594)------------------------------ 0.19/0.40 % (30594)------------------------------ 0.19/0.41 % (30600)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi) 0.19/0.41 % (30593)Instruction limit reached! 0.19/0.41 % (30593)------------------------------ 0.19/0.41 % (30593)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.41 % (30593)Termination reason: Unknown 0.19/0.41 % (30593)Termination phase: Property scanning 0.19/0.41 0.19/0.41 % (30593)Memory used [KB]: 1791 0.19/0.41 % (30593)Time elapsed: 0.020 s 0.19/0.41 % (30593)Instructions burned: 37 (million) 0.19/0.41 % (30593)------------------------------ 0.19/0.41 % (30593)------------------------------ 0.19/0.41 % (30601)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.19/0.42 % (30601)Instruction limit reached! 0.19/0.42 % (30601)------------------------------ 0.19/0.42 % (30601)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.42 % (30601)Termination reason: Unknown 0.19/0.42 % (30601)Termination phase: shuffling 0.19/0.42 0.19/0.42 % (30601)Memory used [KB]: 1407 0.19/0.42 % (30601)Time elapsed: 0.006 s 0.19/0.42 % (30601)Instructions burned: 8 (million) 0.19/0.42 % (30601)------------------------------ 0.19/0.42 % (30601)------------------------------ 0.19/0.42 % (30600)Instruction limit reached! 0.19/0.42 % (30600)------------------------------ 0.19/0.42 % (30600)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.42 % (30600)Termination reason: Unknown 0.19/0.42 % (30600)Termination phase: shuffling 0.19/0.42 0.19/0.42 % (30600)Memory used [KB]: 1791 0.19/0.42 % (30600)Time elapsed: 0.014 s 0.19/0.42 % (30600)Instructions burned: 22 (million) 0.19/0.42 % (30600)------------------------------ 0.19/0.42 % (30600)------------------------------ 0.21/0.42 % (30602)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2999ds/1021Mi) 0.21/0.42 % (30603)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi) 0.21/0.42 % (30597)Instruction limit reached! 0.21/0.42 % (30597)------------------------------ 0.21/0.42 % (30597)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.42 % (30597)Termination reason: Unknown 0.21/0.42 % (30597)Termination phase: Property scanning 0.21/0.42 0.21/0.42 % (30597)Memory used [KB]: 2046 0.21/0.42 % (30597)Time elapsed: 0.036 s 0.21/0.42 % (30597)Instructions burned: 75 (million) 0.21/0.42 % (30597)------------------------------ 0.21/0.42 % (30597)------------------------------ 0.21/0.43 % (30604)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on theBenchmark for (2999ds/9Mi) 0.21/0.43 % (30605)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi) 0.21/0.43 % (30592)Instruction limit reached! 0.21/0.43 % (30592)------------------------------ 0.21/0.43 % (30592)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (30592)Termination reason: Unknown 0.21/0.43 % (30592)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (30592)Memory used [KB]: 6652 0.21/0.43 % (30592)Time elapsed: 0.048 s 0.21/0.43 % (30592)Instructions burned: 97 (million) 0.21/0.43 % (30592)------------------------------ 0.21/0.43 % (30592)------------------------------ 0.21/0.44 % (30604)Instruction limit reached! 0.21/0.44 % (30604)------------------------------ 0.21/0.44 % (30604)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (30604)Termination reason: Unknown 0.21/0.44 % (30604)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (30604)Memory used [KB]: 1407 0.21/0.44 % (30604)Time elapsed: 0.007 s 0.21/0.44 % (30604)Instructions burned: 9 (million) 0.21/0.44 % (30604)------------------------------ 0.21/0.44 % (30604)------------------------------ 0.21/0.44 % (30606)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi) 0.21/0.45 % (30607)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.21/0.45 % (30608)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.21/0.45 % (30603)Instruction limit reached! 0.21/0.45 % (30603)------------------------------ 0.21/0.45 % (30603)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.45 % (30603)Termination reason: Unknown 0.21/0.45 % (30603)Termination phase: Property scanning 0.21/0.45 0.21/0.45 % (30603)Memory used [KB]: 2046 0.21/0.45 % (30603)Time elapsed: 0.035 s 0.21/0.45 % (30603)Instructions burned: 71 (million) 0.21/0.45 % (30603)------------------------------ 0.21/0.45 % (30603)------------------------------ 0.21/0.46 % (30608)Instruction limit reached! 0.21/0.46 % (30608)------------------------------ 0.21/0.46 % (30608)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (30608)Termination reason: Unknown 0.21/0.46 % (30608)Termination phase: Property scanning 0.21/0.46 0.21/0.46 % (30608)Memory used [KB]: 1535 0.21/0.46 % (30608)Time elapsed: 0.011 s 0.21/0.46 % (30608)Instructions burned: 15 (million) 0.21/0.46 % (30608)------------------------------ 0.21/0.46 % (30608)------------------------------ 0.21/0.47 % (30609)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi) 0.21/0.47 % (30609)Instruction limit reached! 0.21/0.47 % (30609)------------------------------ 0.21/0.47 % (30609)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (30609)Termination reason: Unknown 0.21/0.47 % (30609)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (30609)Memory used [KB]: 1279 0.21/0.47 % (30609)Time elapsed: 0.004 s 0.21/0.47 % (30609)Instructions burned: 3 (million) 0.21/0.47 % (30609)------------------------------ 0.21/0.47 % (30609)------------------------------ 0.21/0.48 % (30610)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi) 0.21/0.48 % (30607)Instruction limit reached! 0.21/0.48 % (30607)------------------------------ 0.21/0.48 % (30607)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (30607)Termination reason: Unknown 0.21/0.48 % (30607)Termination phase: Property scanning 0.21/0.48 0.21/0.48 % (30607)Memory used [KB]: 2942 0.21/0.48 % (30607)Time elapsed: 0.037 s 0.21/0.48 % (30607)Instructions burned: 62 (million) 0.21/0.48 % (30607)------------------------------ 0.21/0.48 % (30607)------------------------------ 0.21/0.49 % (30611)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2999ds/11Mi) 0.21/0.49 % (30611)Instruction limit reached! 0.21/0.49 % (30611)------------------------------ 0.21/0.49 % (30611)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (30611)Termination reason: Unknown 0.21/0.49 % (30611)Termination phase: shuffling 0.21/0.49 0.21/0.49 % (30611)Memory used [KB]: 1407 0.21/0.49 % (30611)Time elapsed: 0.007 s 0.21/0.49 % (30611)Instructions burned: 12 (million) 0.21/0.49 % (30611)------------------------------ 0.21/0.49 % (30611)------------------------------ 0.21/0.50 % (30606)Instruction limit reached! 0.21/0.50 % (30606)------------------------------ 0.21/0.50 % (30606)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (30606)Termination reason: Unknown 0.21/0.50 % (30606)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (30606)Memory used [KB]: 6908 0.21/0.50 % (30606)Time elapsed: 0.060 s 0.21/0.50 % (30606)Instructions burned: 128 (million) 0.21/0.50 % (30606)------------------------------ 0.21/0.50 % (30606)------------------------------ 0.21/0.50 % (30612)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2998ds/140Mi) 0.21/0.50 % (30599)First to succeed. 0.21/0.50 % (30599)Refutation found. Thanks to Tanya! 0.21/0.50 % SZS status Theorem for theBenchmark 0.21/0.50 % SZS output start Proof for theBenchmark 0.21/0.50 thf(func_def_0, type, in: $i > $i > $o). 0.21/0.50 thf(func_def_1, type, exu: ($i > $o) > $o). 0.21/0.50 thf(func_def_6, type, setadjoin: $i > $i > $i). 0.21/0.50 thf(func_def_8, type, powerset: $i > $i). 0.21/0.50 thf(func_def_10, type, setunion: $i > $i). 0.21/0.50 thf(func_def_19, type, descr: ($i > $o) > $i). 0.21/0.50 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_26, type, prop2set: $o > $i). 0.21/0.50 thf(func_def_36, type, nonempty: $i > $o). 0.21/0.50 thf(func_def_69, type, set2prop: $i > $o). 0.21/0.50 thf(func_def_88, type, subset: $i > $i > $o). 0.21/0.50 thf(func_def_89, type, disjoint: $i > $i > $o). 0.21/0.50 thf(func_def_90, type, setsmeet: $i > $i > $o). 0.21/0.50 thf(func_def_114, type, binunion: $i > $i > $i). 0.21/0.50 thf(func_def_122, type, binintersect: $i > $i > $i). 0.21/0.50 thf(func_def_135, type, regular: $i > $o). 0.21/0.50 thf(func_def_136, type, setminus: $i > $i > $i). 0.21/0.50 thf(func_def_147, type, symdiff: $i > $i > $i). 0.21/0.50 thf(func_def_153, type, iskpair: $i > $o). 0.21/0.50 thf(func_def_158, type, kpair: $i > $i > $i). 0.21/0.50 thf(func_def_160, type, cartprod: $i > $i > $i). 0.21/0.50 thf(func_def_177, type, singleton: $i > $o). 0.21/0.50 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 0.21/0.50 thf(func_def_184, type, atmost1p: $i > $o). 0.21/0.50 thf(func_def_185, type, atleast2p: $i > $o). 0.21/0.50 thf(func_def_186, type, atmost2p: $i > $o). 0.21/0.50 thf(func_def_187, type, upairsetp: $i > $o). 0.21/0.50 thf(func_def_191, type, kfst: $i > $i). 0.21/0.50 thf(func_def_212, type, sP1: $i > $i > $o). 0.21/0.50 thf(func_def_213, type, sP2: $i > $o). 0.21/0.50 thf(func_def_214, type, sP3: $i > $i > $o). 0.21/0.50 thf(func_def_215, type, sP4: $i > $i > $o). 0.21/0.50 thf(func_def_216, type, sP5: $o > $i > $i > $i > $o). 0.21/0.50 thf(func_def_219, type, sK8: $i > $i > $i). 0.21/0.50 thf(func_def_235, type, sK24: $i > $i > $i). 0.21/0.50 thf(func_def_241, type, sK30: $i > $i). 0.21/0.50 thf(func_def_242, type, sK31: $i > $i > $i > $i). 0.21/0.50 thf(func_def_243, type, sK32: $i > $i > $i > $i). 0.21/0.50 thf(func_def_268, type, sK57: $i > $o). 0.21/0.50 thf(func_def_270, type, sK59: ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_271, type, sK60: $i > $o). 0.21/0.50 thf(func_def_278, type, sK67: $i > $i > $i). 0.21/0.50 thf(func_def_281, type, sK70: ($i > $o) > ($i > $o) > $i > $i > $i). 0.21/0.50 thf(func_def_282, type, sK71: ($i > $o) > ($i > $o) > $i > $i > $i). 0.21/0.50 thf(func_def_285, type, sK74: $i > $o). 0.21/0.50 thf(func_def_286, type, sK75: $i > $o). 0.21/0.50 thf(func_def_288, type, sK77: $i > $o). 0.21/0.50 thf(func_def_290, type, sK79: ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_294, type, sK83: $i > $o). 0.21/0.50 thf(func_def_295, type, sK84: $i > $o). 0.21/0.50 thf(func_def_296, type, sK85: ($i > $o) > ($i > $o) > $i). 0.21/0.50 thf(func_def_297, type, sK86: ($i > $o) > ($i > $o) > $i). 0.21/0.50 thf(func_def_306, type, sK95: $i > $i > $i). 0.21/0.50 thf(func_def_307, type, sK96: $i > $o). 0.21/0.50 thf(func_def_310, type, sK99: ($i > $o) > $i). 0.21/0.50 thf(func_def_311, type, sK100: $i > $o). 0.21/0.50 thf(func_def_329, type, sK118: $i > $o). 0.21/0.50 thf(func_def_331, type, sK120: ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_335, type, sK124: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_336, type, sK125: $i > $o). 0.21/0.50 thf(func_def_340, type, sK129: $i > $o). 0.21/0.50 thf(func_def_361, type, sK150: $i > $i > $i). 0.21/0.50 thf(func_def_366, type, sK155: $i > $o). 0.21/0.50 thf(func_def_372, type, sK161: $i > $i). 0.21/0.50 thf(func_def_373, type, sK162: $i > $i). 0.21/0.50 thf(func_def_376, type, sK165: $i > $o). 0.21/0.50 thf(func_def_382, type, sK171: $i > $o). 0.21/0.50 thf(func_def_383, type, sK172: $i > $i). 0.21/0.50 thf(func_def_384, type, sK173: ($i > $o) > $i). 0.21/0.50 thf(func_def_390, type, sK179: $i > $i). 0.21/0.50 thf(func_def_399, type, sK188: $i > $i > $o). 0.21/0.50 thf(func_def_401, type, sK190: $i > $i). 0.21/0.50 thf(func_def_402, type, sK191: $i > $i). 0.21/0.50 thf(func_def_403, type, sK192: $i > ($i > $i > $o) > $i). 0.21/0.50 thf(func_def_404, type, sK193: $i > ($i > $i > $o) > $i). 0.21/0.50 thf(func_def_405, type, sK194: $i > $i > ($i > $i > $o) > $i). 0.21/0.50 thf(func_def_406, type, sK195: $i > $i > $i). 0.21/0.50 thf(func_def_407, type, sK196: $i > $i > $i). 0.21/0.50 thf(func_def_408, type, sK197: $i > $i > $i). 0.21/0.50 thf(func_def_409, type, sK198: $i > $i > $i). 0.21/0.50 thf(func_def_410, type, sK199: $i > $i > $i > $i). 0.21/0.50 thf(func_def_411, type, sK200: $i > $i). 0.21/0.50 thf(func_def_412, type, sK201: $i > $i). 0.21/0.50 thf(func_def_413, type, sK202: $i > $i). 0.21/0.50 thf(func_def_414, type, sK203: $i > $i). 0.21/0.50 thf(func_def_415, type, sK204: $i > $i > $i). 0.21/0.50 thf(func_def_416, type, sK205: $i > $i > $i > $i). 0.21/0.50 thf(func_def_417, type, sK206: $i > $i > $i > $i). 0.21/0.50 thf(func_def_418, type, sK207: $i > $i > $i). 0.21/0.50 thf(func_def_419, type, sK208: $i > $i > $i). 0.21/0.50 thf(func_def_420, type, sK209: $i > $i). 0.21/0.50 thf(func_def_421, type, sK210: $i > $i > $i). 0.21/0.50 thf(func_def_423, type, sK212: $i > $i). 0.21/0.50 thf(func_def_424, type, sK213: $i > $i). 0.21/0.50 thf(func_def_429, type, sK218: $i > $o). 0.21/0.50 thf(func_def_462, type, sK251: $i > $o). 0.21/0.50 thf(func_def_491, type, sK280: $i > $o). 0.21/0.50 thf(func_def_493, type, sK282: ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_495, type, sK284: $i > $o). 0.21/0.50 thf(func_def_503, type, sK292: $i > $o). 0.21/0.50 thf(func_def_504, type, sK293: ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_506, type, sK295: $i > $o). 0.21/0.50 thf(func_def_530, type, sK319: $i > ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_532, type, sK321: $i > $o). 0.21/0.50 thf(func_def_537, type, sK326: $i > $i > $i). 0.21/0.50 thf(func_def_543, type, sK332: $i > $i > $i). 0.21/0.50 thf(func_def_545, type, sK334: $i > $o). 0.21/0.50 thf(func_def_559, type, sK348: $i > $o). 0.21/0.50 thf(func_def_560, type, sK349: $i > $i). 0.21/0.50 thf(func_def_561, type, sK350: ($i > $o) > $i). 0.21/0.50 thf(func_def_569, type, sK358: $i > $i). 0.21/0.50 thf(func_def_570, type, sK359: $i > $i). 0.21/0.50 thf(func_def_576, type, sK365: $i > $o). 0.21/0.50 thf(func_def_578, type, sK367: ($i > $o) > $i > $i). 0.21/0.50 thf(func_def_582, type, sK371: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_583, type, sK372: $i > $o). 0.21/0.50 thf(func_def_585, type, sK374: $i > $o). 0.21/0.50 thf(func_def_588, type, sK377: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_589, type, sK378: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_592, type, sK381: $i > $i > $i). 0.21/0.50 thf(func_def_593, type, sK382: $i > $o). 0.21/0.50 thf(func_def_607, type, sK396: $i > $i). 0.21/0.50 thf(func_def_611, type, sK400: $i > $i > $i). 0.21/0.50 thf(func_def_612, type, sK401: $i > $i > $i). 0.21/0.50 thf(func_def_632, type, sK421: $i > $o). 0.21/0.50 thf(func_def_634, type, sK423: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_636, type, sK425: $i > $o). 0.21/0.50 thf(func_def_638, type, sK427: $o > $i > $i > $i). 0.21/0.50 thf(func_def_655, type, sK444: ($i > $o) > ($i > $o) > $i). 0.21/0.50 thf(func_def_656, type, sK445: ($i > $o) > ($i > $o) > $i). 0.21/0.50 thf(func_def_657, type, sK446: $i > $o). 0.21/0.50 thf(func_def_658, type, sK447: $i > $o). 0.21/0.50 thf(func_def_659, type, sK448: $i > $o). 0.21/0.50 thf(func_def_662, type, sK451: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_663, type, sK452: $i > ($i > $o) > $i). 0.21/0.50 thf(func_def_673, type, sK462: $i > $o). 0.21/0.50 thf(func_def_675, type, sK464: ($i > $o) > $i). 0.21/0.50 thf(func_def_676, type, sK465: ($i > $o) > $i). 0.21/0.50 thf(func_def_683, type, ph472: !>[X0: $tType]:(X0)). 0.21/0.50 thf(f2582,plain,( 0.21/0.50 $false), 0.21/0.50 inference(subsumption_resolution,[],[f2581,f1558])). 0.21/0.50 thf(f1558,plain,( 0.21/0.50 (sK36 != sK37)), 0.21/0.50 inference(cnf_transformation,[],[f792])). 0.21/0.50 thf(f792,plain,( 0.21/0.50 (upairsubunion = $true) & (kpairp = $true) & (setminusELneg = $true) & (subsetI1 = $true) & (binintersectSubset5 = $true) & (setextAx = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (setukpairinjR12 = $true) & (binunionIR = $true) & (sepSubset = $true) & (cartprodfstin = $true) & (descrp = $true) & (subPowSU = $true) & (ubforcartprodlem2 = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (kfstsingleton = $true) & (setukpairinjR1 = $true) & (in__Cong = $true) & (setadjoinAx = $true) & (setminusERneg = $true) & (inCongP = $true) & (singletoninpowerset = $true) & (upairsetIR = $true) & (subsetRefl = $true) & (emptysetAx = $true) & (quantDeMorgan1 = $true) & (cartprodpairin = $true) & (singletoninpowunion = $true) & (binintersectSubset3 = $true) & (omegaSAx = $true) & (powersetE1 = $true) & (notinsingleton = $true) & (binunionIL = $true) & (emptyset__Cong = $true) & (singletonprop = $true) & (emptyE1 = $true) & (emptyInPowerset = $true) & (symdiffIneg1 = $true) & (sepInPowerset = $true) & (secondinupair = $true) & (setadjoinSub = $true) & (upairset2IR = $true) & (setext = $true) & (emptysetimpfalse = $true) & (emptyinunitempty = $true) & (setadjoinSub2 = $true) & (dsetconstrI = $true) & (powersetAx = $true) & (setminusEL = $true) & (prop2setI = $true) & (emptysetsubset = $true) & (exuE2 = $true) & (symdiffI2 = $true) & (notdallE = $true) & (cartprodmempair = $true) & (setminusSubset1 = $true) & (notequalI2 = $true) & (setminusI = $true) & (setunionE2 = $true) & (exuI1 = $true) & (quantDeMorgan4 = $true) & (setadjoinIR = $true) & (bs114d = $true) & (symdiffE = $true) & (nonemptyE1 = $true) & (setunionsingleton = $true) & (setunionsingleton1 = $true) & (theprop = $true) & (prop2set2propI = $true) & (subsetI2 = $true) & (quantDeMorgan3 = $true) & (exuI3 = $true) & (disjointsetsI1 = $true) & (setukpairinjL1 = $true) & (setukpairinjL = $true) & (upairsetE = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (ubforcartprodlem1 = $true) & (nonemptyI1 = $true) & (emptyinPowerset = $true) & (prop2setE = $true) & (ex1E1 = $true) & (notinemptyset = $true) & (symdiffIneg2 = $true) & (binunionLsub = $true) & (setminusIRneg = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (exuE3e = $true) & (binintersectRsub = $true) & (uniqinunit = $true) & (setminusER = $true) & (emptyI = $true) & (exuE3u = $true) & (binintersectER = $true) & (setadjoinOr = $true) & (wellorderingAx = $true) & (powersetI = $true) & (setukpairIL = $true) & (powersetE = $true) & (setbeta = $true) & (powerset__Cong = $true) & (nonemptyImpWitness = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (omega__Cong = $true) & (cartprodmempair1 = $true) & (eqinunit = $true) & (setoftrueEq = $true) & (subsetTrans = $true) & (setadjoinE = $true) & (upairinpowunion = $true) & (descr__Cong = $true) & (dsetconstrEL = $true) & (eqimpsubset1 = $true) & (ubforcartprodlem3 = $true) & (setextsub = $true) & (kpairiskpair = $true) & (setukpairinjL2 = $true) & (setunion__Cong = $true) & (binunionE = $true) & (binintersectSubset2 = $true) & (nonemptyI = $true) & (inPowerset = $true) & (setadjoin__Cong = $true) & (upairsetIL = $true) & (singletonsswitch = $true) & (symdiffI1 = $true) & (emptysetE = $true) & (ex1I = $true) & (binunionEcases = $true) & (omegaIndAx = $true) & (omega0Ax = $true) & (exuEu = $true) & (exuI2 = $true) & (exu__Cong = $true) & (kfstpairEq = $true) & (subsetE = $true) & (exuE1 = $true) & (subsetemptysetimpeq = $true) & (setunionE = $true) & (dsetconstr__Cong = $true) & (binintersectEL = $true) & (setminusSubset2 = $true) & (replAx = $true) & (upairset2E = $true) & (notdexE = $true) & (setunionI = $true) & (setukpairIR = $true) & (ex1I2 = $true) & (powersetsubset = $true) & (subset2powerset = $true) & (quantDeMorgan2 = $true) & (binintersectSubset4 = $true) & (vacuousDall = $true) & (setunionsingleton2 = $true) & (noeltsimpempty = $true) & (setunionAx = $true) & (setukpairinjR11 = $true) & (dsetconstrER = $true) & (binunionRsub = $true) & (binintersectI = $true) & ((sK36 != sK37) & ((setadjoin @ sK37 @ (setadjoin @ sK36 @ emptyset)) = (setadjoin @ sK38 @ emptyset))) & (singletonsuniq = $true) & (setminusILneg = $true) & (eqimpsubset2 = $true)), 0.21/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38])],[f585,f791])). 0.21/0.50 thf(f791,plain,( 0.21/0.50 ? [X0,X1,X2] : ((X0 != X1) & ((setadjoin @ X2 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) => ((sK36 != sK37) & ((setadjoin @ sK37 @ (setadjoin @ sK36 @ emptyset)) = (setadjoin @ sK38 @ emptyset)))), 0.21/0.50 introduced(choice_axiom,[])). 0.21/0.50 thf(f585,plain,( 0.21/0.50 (upairsubunion = $true) & (kpairp = $true) & (setminusELneg = $true) & (subsetI1 = $true) & (binintersectSubset5 = $true) & (setextAx = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (setukpairinjR12 = $true) & (binunionIR = $true) & (sepSubset = $true) & (cartprodfstin = $true) & (descrp = $true) & (subPowSU = $true) & (ubforcartprodlem2 = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (kfstsingleton = $true) & (setukpairinjR1 = $true) & (in__Cong = $true) & (setadjoinAx = $true) & (setminusERneg = $true) & (inCongP = $true) & (singletoninpowerset = $true) & (upairsetIR = $true) & (subsetRefl = $true) & (emptysetAx = $true) & (quantDeMorgan1 = $true) & (cartprodpairin = $true) & (singletoninpowunion = $true) & (binintersectSubset3 = $true) & (omegaSAx = $true) & (powersetE1 = $true) & (notinsingleton = $true) & (binunionIL = $true) & (emptyset__Cong = $true) & (singletonprop = $true) & (emptyE1 = $true) & (emptyInPowerset = $true) & (symdiffIneg1 = $true) & (sepInPowerset = $true) & (secondinupair = $true) & (setadjoinSub = $true) & (upairset2IR = $true) & (setext = $true) & (emptysetimpfalse = $true) & (emptyinunitempty = $true) & (setadjoinSub2 = $true) & (dsetconstrI = $true) & (powersetAx = $true) & (setminusEL = $true) & (prop2setI = $true) & (emptysetsubset = $true) & (exuE2 = $true) & (symdiffI2 = $true) & (notdallE = $true) & (cartprodmempair = $true) & (setminusSubset1 = $true) & (notequalI2 = $true) & (setminusI = $true) & (setunionE2 = $true) & (exuI1 = $true) & (quantDeMorgan4 = $true) & (setadjoinIR = $true) & (bs114d = $true) & (symdiffE = $true) & (nonemptyE1 = $true) & (setunionsingleton = $true) & (setunionsingleton1 = $true) & (theprop = $true) & (prop2set2propI = $true) & (subsetI2 = $true) & (quantDeMorgan3 = $true) & (exuI3 = $true) & (disjointsetsI1 = $true) & (setukpairinjL1 = $true) & (setukpairinjL = $true) & (upairsetE = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (ubforcartprodlem1 = $true) & (nonemptyI1 = $true) & (emptyinPowerset = $true) & (prop2setE = $true) & (ex1E1 = $true) & (notinemptyset = $true) & (symdiffIneg2 = $true) & (binunionLsub = $true) & (setminusIRneg = $true) & (setminusLsub = $true) & (singletonsubset = $true) & (exuE3e = $true) & (binintersectRsub = $true) & (uniqinunit = $true) & (setminusER = $true) & (emptyI = $true) & (exuE3u = $true) & (binintersectER = $true) & (setadjoinOr = $true) & (wellorderingAx = $true) & (powersetI = $true) & (setukpairIL = $true) & (powersetE = $true) & (setbeta = $true) & (powerset__Cong = $true) & (nonemptyImpWitness = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (omega__Cong = $true) & (cartprodmempair1 = $true) & (eqinunit = $true) & (setoftrueEq = $true) & (subsetTrans = $true) & (setadjoinE = $true) & (upairinpowunion = $true) & (descr__Cong = $true) & (dsetconstrEL = $true) & (eqimpsubset1 = $true) & (ubforcartprodlem3 = $true) & (setextsub = $true) & (kpairiskpair = $true) & (setukpairinjL2 = $true) & (setunion__Cong = $true) & (binunionE = $true) & (binintersectSubset2 = $true) & (nonemptyI = $true) & (inPowerset = $true) & (setadjoin__Cong = $true) & (upairsetIL = $true) & (singletonsswitch = $true) & (symdiffI1 = $true) & (emptysetE = $true) & (ex1I = $true) & (binunionEcases = $true) & (omegaIndAx = $true) & (omega0Ax = $true) & (exuEu = $true) & (exuI2 = $true) & (exu__Cong = $true) & (kfstpairEq = $true) & (subsetE = $true) & (exuE1 = $true) & (subsetemptysetimpeq = $true) & (setunionE = $true) & (dsetconstr__Cong = $true) & (binintersectEL = $true) & (setminusSubset2 = $true) & (replAx = $true) & (upairset2E = $true) & (notdexE = $true) & (setunionI = $true) & (setukpairIR = $true) & (ex1I2 = $true) & (powersetsubset = $true) & (subset2powerset = $true) & (quantDeMorgan2 = $true) & (binintersectSubset4 = $true) & (vacuousDall = $true) & (setunionsingleton2 = $true) & (noeltsimpempty = $true) & (setunionAx = $true) & (setukpairinjR11 = $true) & (dsetconstrER = $true) & (binunionRsub = $true) & (binintersectI = $true) & ? [X0,X1,X2] : ((X0 != X1) & ((setadjoin @ X2 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) & (singletonsuniq = $true) & (setminusILneg = $true) & (eqimpsubset2 = $true)), 0.21/0.50 inference(flattening,[],[f584])). 0.21/0.50 thf(f584,plain,( 0.21/0.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((X0 != X1) & ((setadjoin @ X2 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 0.21/0.50 inference(ennf_transformation,[],[f203])). 0.21/0.50 thf(f203,plain,( 0.21/0.50 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ! [X0,X1,X2] : (((setadjoin @ X2 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) => (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.50 inference(fool_elimination,[],[f202])). 0.21/0.50 thf(f202,plain,( 0.21/0.50 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => ! [X0,X1,X2] : (((setadjoin @ X2 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) => (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.50 inference(rectify,[],[f176])). 0.21/0.50 thf(f176,negated_conjecture,( 0.21/0.50 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => ! [X2,X1,X8] : (((setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) = (setadjoin @ X8 @ emptyset)) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.50 inference(negated_conjecture,[],[f175])). 0.21/0.50 thf(f175,conjecture,( 0.21/0.50 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => ! [X2,X1,X8] : (((setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) = (setadjoin @ X8 @ emptyset)) => (X1 = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairequniteq)). 0.21/0.50 thf(f2581,plain,( 0.21/0.50 (sK36 = sK37)), 0.21/0.50 inference(forward_demodulation,[],[f2580,f2520])). 0.21/0.50 thf(f2520,plain,( 0.21/0.50 (sK36 = sK38)), 0.21/0.50 inference(subsumption_resolution,[],[f2513,f1690])). 0.21/0.50 thf(f1690,plain,( 0.21/0.50 (notinsingleton = $true)), 0.21/0.50 inference(cnf_transformation,[],[f792])). 0.21/0.50 thf(f2513,plain,( 0.21/0.50 (notinsingleton != $true) | (sK36 = sK38)), 0.21/0.50 inference(trivial_inequality_removal,[],[f2507])). 0.21/0.50 thf(f2507,plain,( 0.21/0.50 (sK36 = sK38) | (notinsingleton != $true) | ($true != $true)), 0.21/0.50 inference(superposition,[],[f2164,f2495])). 0.21/0.50 thf(f2495,plain,( 0.21/0.50 ($true = (in @ sK36 @ (setadjoin @ sK38 @ emptyset)))), 0.21/0.50 inference(subsumption_resolution,[],[f2462,f1680])). 0.21/0.50 thf(f1680,plain,( 0.21/0.50 (upairset2IR = $true)), 0.21/0.50 inference(cnf_transformation,[],[f792])). 0.21/0.50 thf(f2462,plain,( 0.21/0.50 ($true = (in @ sK36 @ (setadjoin @ sK38 @ emptyset))) | (upairset2IR != $true)), 0.21/0.50 inference(superposition,[],[f1533,f1557])). 0.21/0.50 thf(f1557,plain,( 0.21/0.50 ((setadjoin @ sK37 @ (setadjoin @ sK36 @ emptyset)) = (setadjoin @ sK38 @ emptyset))), 0.21/0.50 inference(cnf_transformation,[],[f792])). 0.21/0.50 thf(f1533,plain,( 0.21/0.50 ( ! [X2 : $i,X3 : $i] : (($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairset2IR != $true)) )), 0.21/0.50 inference(cnf_transformation,[],[f766])). 0.21/0.50 thf(f766,plain,( 0.21/0.50 ((upairset2IR = $true) | ($true != (in @ sK19 @ (setadjoin @ sK20 @ (setadjoin @ sK19 @ emptyset))))) & (! [X2,X3] : ($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairset2IR != $true))), 0.21/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f764,f765])). 0.21/0.50 thf(f765,plain,( 0.21/0.50 ? [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) != $true) => ($true != (in @ sK19 @ (setadjoin @ sK20 @ (setadjoin @ sK19 @ emptyset))))), 0.21/0.50 introduced(choice_axiom,[])). 0.21/0.50 thf(f764,plain,( 0.21/0.50 ((upairset2IR = $true) | ? [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) != $true)) & (! [X2,X3] : ($true = (in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) | (upairset2IR != $true))), 0.21/0.50 inference(rectify,[],[f763])). 0.21/0.50 thf(f763,plain,( 0.21/0.50 ((upairset2IR = $true) | ? [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) != $true)) & (! [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (upairset2IR != $true))), 0.21/0.50 inference(nnf_transformation,[],[f348])). 0.21/0.50 thf(f348,plain,( 0.21/0.50 (upairset2IR = $true) <=> ! [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true)), 0.21/0.50 inference(fool_elimination,[],[f347])). 0.21/0.50 thf(f347,plain,( 0.21/0.50 (! [X0,X1] : (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = upairset2IR)), 0.21/0.50 inference(rectify,[],[f102])). 0.21/0.50 thf(f102,axiom,( 0.21/0.50 (! [X2,X1] : (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) = upairset2IR)), 0.21/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairset2IR)). 0.21/0.50 thf(f2164,plain,( 0.21/0.50 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true) | (X0 = X1) | (notinsingleton != $true)) )), 0.21/0.50 inference(cnf_transformation,[],[f1320])). 0.21/0.50 thf(f1320,plain,( 0.21/0.50 (! [X0,X1] : ((X0 = X1) | ((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true)) | (notinsingleton != $true)) & ((notinsingleton = $true) | ((sK341 != sK340) & ($true = (in @ sK340 @ (setadjoin @ sK341 @ emptyset)))))), 0.21/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK340,sK341])],[f1318,f1319])). 0.21/0.50 thf(f1319,plain,( 0.21/0.50 ? [X2,X3] : ((X2 != X3) & ($true = (in @ X2 @ (setadjoin @ X3 @ emptyset)))) => ((sK341 != sK340) & ($true = (in @ sK340 @ (setadjoin @ sK341 @ emptyset))))), 0.21/0.50 introduced(choice_axiom,[])). 0.21/0.50 thf(f1318,plain,( 0.21/0.50 (! [X0,X1] : ((X0 = X1) | ((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true)) | (notinsingleton != $true)) & ((notinsingleton = $true) | ? [X2,X3] : ((X2 != X3) & ($true = (in @ X2 @ (setadjoin @ X3 @ emptyset)))))), 0.21/0.50 inference(rectify,[],[f1317])). 0.21/0.50 thf(f1317,plain,( 0.21/0.50 (! [X0,X1] : ((X0 = X1) | ((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true)) | (notinsingleton != $true)) & ((notinsingleton = $true) | ? [X0,X1] : ((X0 != X1) & ((in @ X0 @ (setadjoin @ X1 @ emptyset)) = $true)))), 0.21/0.50 inference(nnf_transformation,[],[f641])). 0.21/0.50 thf(f641,plain,( 0.21/0.50 ! [X0,X1] : ((X0 = X1) | ((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true)) <=> (notinsingleton = $true)), 0.21/0.50 inference(ennf_transformation,[],[f539])). 0.21/0.50 thf(f539,plain,( 0.21/0.50 (notinsingleton = $true) <=> ! [X0,X1] : ((X0 != X1) => ((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true))), 0.21/0.50 inference(flattening,[],[f370])). 0.21/0.50 thf(f370,plain,( 0.21/0.50 ! [X0,X1] : ((X0 != X1) => ~((in @ X0 @ (setadjoin @ X1 @ emptyset)) = $true)) <=> (notinsingleton = $true)), 0.21/0.50 inference(fool_elimination,[],[f369])). 0.21/0.50 thf(f369,plain,( 0.21/0.50 (! [X0,X1] : ((X0 != X1) => ~(in @ X0 @ (setadjoin @ X1 @ emptyset))) = notinsingleton)), 0.21/0.50 inference(rectify,[],[f47])). 0.21/0.50 thf(f47,axiom,( 0.21/0.50 (! [X2,X1] : ((X1 != X2) => ~(in @ X2 @ (setadjoin @ X1 @ emptyset))) = notinsingleton)), 0.21/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinsingleton)). 0.21/0.50 thf(f2580,plain,( 0.21/0.50 (sK37 = sK38)), 0.21/0.50 inference(subsumption_resolution,[],[f2575,f1690])). 0.21/0.50 thf(f2575,plain,( 0.21/0.50 (sK37 = sK38) | (notinsingleton != $true)), 0.21/0.50 inference(trivial_inequality_removal,[],[f2566])). 0.21/0.50 thf(f2566,plain,( 0.21/0.50 ($true != $true) | (sK37 = sK38) | (notinsingleton != $true)), 0.21/0.50 inference(superposition,[],[f2164,f2502])). 0.21/0.50 thf(f2502,plain,( 0.21/0.50 ($true = (in @ sK37 @ (setadjoin @ sK38 @ emptyset)))), 0.21/0.50 inference(subsumption_resolution,[],[f2479,f1616])). 0.21/0.50 thf(f1616,plain,( 0.21/0.50 (setadjoinIL = $true)), 0.21/0.50 inference(cnf_transformation,[],[f792])). 0.21/0.50 thf(f2479,plain,( 0.21/0.50 ($true = (in @ sK37 @ (setadjoin @ sK38 @ emptyset))) | (setadjoinIL != $true)), 0.21/0.50 inference(superposition,[],[f1526,f1557])). 0.21/0.50 thf(f1526,plain,( 0.21/0.50 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X1 @ X0)) = $true) | (setadjoinIL != $true)) )), 0.21/0.50 inference(cnf_transformation,[],[f754])). 0.21/0.50 thf(f754,plain,( 0.21/0.50 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ X0)) = $true) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ($true != (in @ sK12 @ (setadjoin @ sK12 @ sK11))))), 0.21/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f752,f753])). 0.21/0.50 thf(f753,plain,( 0.21/0.50 ? [X2,X3] : ($true != (in @ X3 @ (setadjoin @ X3 @ X2))) => ($true != (in @ sK12 @ (setadjoin @ sK12 @ sK11)))), 0.21/0.50 introduced(choice_axiom,[])). 0.21/0.50 thf(f752,plain,( 0.21/0.50 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ X0)) = $true) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ? [X2,X3] : ($true != (in @ X3 @ (setadjoin @ X3 @ X2))))), 0.21/0.50 inference(rectify,[],[f751])). 0.21/0.50 thf(f751,plain,( 0.21/0.50 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ X0)) = $true) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ? [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ X0)) != $true))), 0.21/0.50 inference(nnf_transformation,[],[f461])). 0.21/0.50 thf(f461,plain,( 0.21/0.50 ! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ X0)) = $true) <=> (setadjoinIL = $true)), 0.21/0.50 inference(fool_elimination,[],[f460])). 0.21/0.50 thf(f460,plain,( 0.21/0.50 (! [X0,X1] : (in @ X1 @ (setadjoin @ X1 @ X0)) = setadjoinIL)), 0.21/0.50 inference(rectify,[],[f31])). 0.21/0.50 thf(f31,axiom,( 0.21/0.50 (! [X2,X1] : (in @ X1 @ (setadjoin @ X1 @ X2)) = setadjoinIL)), 0.21/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL)). 0.21/0.50 % SZS output end Proof for theBenchmark 0.21/0.50 % (30599)------------------------------ 0.21/0.50 % (30599)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (30599)Termination reason: Refutation 0.21/0.50 0.21/0.50 % (30599)Memory used [KB]: 8571 0.21/0.50 % (30599)Time elapsed: 0.116 s 0.21/0.50 % (30599)Instructions burned: 212 (million) 0.21/0.50 % (30599)------------------------------ 0.21/0.50 % (30599)------------------------------ 0.21/0.50 % (30591)Success in time 0.123 s 0.21/0.50 % Vampire---4.8 exiting 0.21/0.50 EOF