TSTP Solution File: SEU539^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU539^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% 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
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:49:27 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU539^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % 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
% 0.14/0.37 % Computer : n022.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 16:39:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a TH0_THM_EQU_NAR problem
% 0.14/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.40 % (15754)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.40 % (15753)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.40 % (15755)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (15752)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (15756)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (15757)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.40 % (15758)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (15755)Instruction limit reached!
% 0.22/0.40 % (15755)------------------------------
% 0.22/0.40 % (15755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (15755)Termination reason: Unknown
% 0.22/0.40 % (15755)Termination phase: shuffling
% 0.22/0.40 % (15756)Instruction limit reached!
% 0.22/0.40 % (15756)------------------------------
% 0.22/0.40 % (15756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (15756)Termination reason: Unknown
% 0.22/0.40 % (15756)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (15756)Memory used [KB]: 1023
% 0.22/0.40 % (15756)Time elapsed: 0.003 s
% 0.22/0.40 % (15756)Instructions burned: 2 (million)
% 0.22/0.40 % (15756)------------------------------
% 0.22/0.40 % (15756)------------------------------
% 0.22/0.40
% 0.22/0.40 % (15755)Memory used [KB]: 1023
% 0.22/0.40 % (15755)Time elapsed: 0.003 s
% 0.22/0.40 % (15755)Instructions burned: 2 (million)
% 0.22/0.40 % (15755)------------------------------
% 0.22/0.40 % (15755)------------------------------
% 0.22/0.40 % (15753)Instruction limit reached!
% 0.22/0.40 % (15753)------------------------------
% 0.22/0.40 % (15753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (15753)Termination reason: Unknown
% 0.22/0.40 % (15753)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (15753)Memory used [KB]: 1023
% 0.22/0.40 % (15753)Time elapsed: 0.004 s
% 0.22/0.40 % (15753)Instructions burned: 4 (million)
% 0.22/0.40 % (15753)------------------------------
% 0.22/0.40 % (15753)------------------------------
% 0.22/0.40 % (15759)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (15759)Instruction limit reached!
% 0.22/0.40 % (15759)------------------------------
% 0.22/0.40 % (15759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (15759)Termination reason: Unknown
% 0.22/0.40 % (15759)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (15759)Memory used [KB]: 1151
% 0.22/0.40 % (15759)Time elapsed: 0.004 s
% 0.22/0.40 % (15759)Instructions burned: 4 (million)
% 0.22/0.40 % (15759)------------------------------
% 0.22/0.40 % (15759)------------------------------
% 0.22/0.41 % (15758)Instruction limit reached!
% 0.22/0.41 % (15758)------------------------------
% 0.22/0.41 % (15758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (15758)Termination reason: Unknown
% 0.22/0.41 % (15758)Termination phase: Preprocessing 3
% 0.22/0.41
% 0.22/0.41 % (15758)Memory used [KB]: 1535
% 0.22/0.41 % (15758)Time elapsed: 0.012 s
% 0.22/0.41 % (15758)Instructions burned: 18 (million)
% 0.22/0.41 % (15758)------------------------------
% 0.22/0.41 % (15758)------------------------------
% 0.22/0.41 % (15754)Instruction limit reached!
% 0.22/0.41 % (15754)------------------------------
% 0.22/0.41 % (15754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (15754)Termination reason: Unknown
% 0.22/0.41 % (15754)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (15754)Memory used [KB]: 1279
% 0.22/0.41 % (15754)Time elapsed: 0.015 s
% 0.22/0.41 % (15754)Instructions burned: 27 (million)
% 0.22/0.41 % (15754)------------------------------
% 0.22/0.41 % (15754)------------------------------
% 0.22/0.41 % (15760)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.41 % (15761)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.41 % (15762)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (15762)Instruction limit reached!
% 0.22/0.41 % (15762)------------------------------
% 0.22/0.41 % (15762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (15762)Termination reason: Unknown
% 0.22/0.41 % (15762)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (15762)Memory used [KB]: 1023
% 0.22/0.41 % (15762)Time elapsed: 0.003 s
% 0.22/0.41 % (15762)Instructions burned: 3 (million)
% 0.22/0.41 % (15762)------------------------------
% 0.22/0.41 % (15762)------------------------------
% 0.22/0.42 % (15763)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)
% 0.22/0.42 % (15761)Instruction limit reached!
% 0.22/0.42 % (15761)------------------------------
% 0.22/0.42 % (15761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (15761)Termination reason: Unknown
% 0.22/0.42 % (15761)Termination phase: Preprocessing 3
% 0.22/0.42
% 0.22/0.42 % (15761)Memory used [KB]: 1407
% 0.22/0.42 % (15761)Time elapsed: 0.010 s
% 0.22/0.42 % (15761)Instructions burned: 15 (million)
% 0.22/0.42 % (15761)------------------------------
% 0.22/0.42 % (15761)------------------------------
% 0.22/0.42 % (15764)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (15765)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (15764)Instruction limit reached!
% 0.22/0.43 % (15764)------------------------------
% 0.22/0.43 % (15764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (15764)Termination reason: Unknown
% 0.22/0.43 % (15764)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (15764)Memory used [KB]: 1151
% 0.22/0.43 % (15764)Time elapsed: 0.006 s
% 0.22/0.43 % (15764)Instructions burned: 8 (million)
% 0.22/0.43 % (15764)------------------------------
% 0.22/0.43 % (15764)------------------------------
% 0.22/0.43 % (15766)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (15760)Instruction limit reached!
% 0.22/0.43 % (15760)------------------------------
% 0.22/0.43 % (15760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (15760)Termination reason: Unknown
% 0.22/0.43 % (15760)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (15760)Memory used [KB]: 5884
% 0.22/0.43 % (15760)Time elapsed: 0.019 s
% 0.22/0.43 % (15760)Instructions burned: 37 (million)
% 0.22/0.43 % (15760)------------------------------
% 0.22/0.43 % (15760)------------------------------
% 0.22/0.43 % (15766)Instruction limit reached!
% 0.22/0.43 % (15766)------------------------------
% 0.22/0.43 % (15766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (15766)Termination reason: Unknown
% 0.22/0.43 % (15766)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (15766)Memory used [KB]: 1151
% 0.22/0.43 % (15766)Time elapsed: 0.004 s
% 0.22/0.43 % (15766)Instructions burned: 4 (million)
% 0.22/0.43 % (15766)------------------------------
% 0.22/0.43 % (15766)------------------------------
% 0.22/0.43 % (15765)Instruction limit reached!
% 0.22/0.43 % (15765)------------------------------
% 0.22/0.43 % (15765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (15765)Termination reason: Unknown
% 0.22/0.43 % (15765)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (15765)Memory used [KB]: 1279
% 0.22/0.43 % (15765)Time elapsed: 0.010 s
% 0.22/0.43 % (15765)Instructions burned: 16 (million)
% 0.22/0.43 % (15765)------------------------------
% 0.22/0.43 % (15765)------------------------------
% 0.22/0.44 % (15767)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (15767)Instruction limit reached!
% 0.22/0.44 % (15767)------------------------------
% 0.22/0.44 % (15767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (15767)Termination reason: Unknown
% 0.22/0.44 % (15767)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (15767)Memory used [KB]: 1151
% 0.22/0.44 % (15767)Time elapsed: 0.004 s
% 0.22/0.44 % (15767)Instructions burned: 4 (million)
% 0.22/0.44 % (15767)------------------------------
% 0.22/0.44 % (15767)------------------------------
% 0.22/0.44 % (15757)First to succeed.
% 0.22/0.44 % (15752)Also succeeded, but the first one will report.
% 0.22/0.44 % (15757)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% 0.22/0.44 thf(func_def_0, type, in: $i > $i > $o).
% 0.22/0.44 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.22/0.44 thf(func_def_8, type, powerset: $i > $i).
% 0.22/0.44 thf(func_def_10, type, setunion: $i > $i).
% 0.22/0.44 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_26, type, prop2set: $o > $i).
% 0.22/0.44 thf(func_def_36, type, nonempty: $i > $o).
% 0.22/0.44 thf(func_def_79, type, sP0: $i > $i > $o).
% 0.22/0.44 thf(func_def_80, type, sP1: $i > $o).
% 0.22/0.44 thf(func_def_81, type, sP2: $i > $i > $o).
% 0.22/0.44 thf(func_def_82, type, sP3: $i > $i > $o).
% 0.22/0.44 thf(func_def_87, type, sK8: $i > $i > $i).
% 0.22/0.44 thf(func_def_88, type, sK9: $i > $i > $i).
% 0.22/0.44 thf(func_def_89, type, sK10: $i > $i > $i).
% 0.22/0.44 thf(func_def_90, type, sK11: $i > $i > $i).
% 0.22/0.44 thf(func_def_91, type, sK12: $i > $i > $i).
% 0.22/0.44 thf(func_def_92, type, sK13: $i > $i > $i > $i).
% 0.22/0.44 thf(func_def_93, type, sK14: $i > $i).
% 0.22/0.44 thf(func_def_94, type, sK15: $i > $i).
% 0.22/0.44 thf(func_def_95, type, sK16: $i > $i).
% 0.22/0.44 thf(func_def_96, type, sK17: $i > $i).
% 0.22/0.44 thf(func_def_97, type, sK18: $i > $i > $i).
% 0.22/0.44 thf(func_def_98, type, sK19: $i > $i > $i > $i).
% 0.22/0.44 thf(func_def_99, type, sK20: $i > $i > $i > $i).
% 0.22/0.44 thf(func_def_100, type, sK21: $i > $i > $i).
% 0.22/0.44 thf(func_def_101, type, sK22: $i > $i > $i).
% 0.22/0.44 thf(func_def_103, type, sK24: $i > $i).
% 0.22/0.44 thf(func_def_104, type, sK25: $i > $i).
% 0.22/0.44 thf(func_def_105, type, sK26: $i > $i).
% 0.22/0.44 thf(func_def_108, type, sK29: $i > $i).
% 0.22/0.44 thf(func_def_111, type, sK32: $i > $i).
% 0.22/0.44 thf(func_def_112, type, sK33: $i > $i).
% 0.22/0.44 thf(func_def_116, type, sK37: $i > $o).
% 0.22/0.44 thf(func_def_124, type, sK45: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_125, type, sK46: $i > $o).
% 0.22/0.44 thf(func_def_128, type, sK49: $i > $i).
% 0.22/0.44 thf(func_def_133, type, sK54: $i > $i).
% 0.22/0.44 thf(func_def_135, type, sK56: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_136, type, sK57: $i > $o).
% 0.22/0.44 thf(func_def_137, type, sK58: $i > $i).
% 0.22/0.44 thf(func_def_139, type, sK60: $i > $i > $o).
% 0.22/0.44 thf(func_def_140, type, sK61: $i > $i).
% 0.22/0.44 thf(func_def_141, type, sK62: $i > $i).
% 0.22/0.44 thf(func_def_142, type, sK63: ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_143, type, sK64: ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_144, type, sK65: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_147, type, sK68: $i > $o).
% 0.22/0.44 thf(func_def_154, type, sK75: $i > $o).
% 0.22/0.44 thf(func_def_155, type, sK76: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_158, type, sK79: $i > $i > $i).
% 0.22/0.44 thf(func_def_162, type, sK83: ($i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_164, type, sK85: $i > $o).
% 0.22/0.44 thf(func_def_167, type, sK88: $i > $i).
% 0.22/0.44 thf(func_def_176, type, sK97: $i > $o).
% 0.22/0.44 thf(func_def_177, type, sK98: $i > $i > $i).
% 0.22/0.44 thf(func_def_178, type, sK99: $i > $i > $i).
% 0.22/0.44 thf(func_def_185, type, sK106: $i > $i > $i).
% 0.22/0.44 thf(func_def_188, type, sK109: $i > $i).
% 0.22/0.44 thf(func_def_190, type, sK111: $i > $i > $i).
% 0.22/0.44 thf(func_def_197, type, sK118: $o > $i > $i > $i).
% 0.22/0.44 thf(func_def_208, type, sK129: $i > $o).
% 0.22/0.44 thf(func_def_212, type, sK133: $i > $o).
% 0.22/0.44 thf(func_def_215, type, sK136: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_216, type, sK137: $i > $o).
% 0.22/0.44 thf(func_def_221, type, sK142: $i > $o).
% 0.22/0.44 thf(func_def_225, type, sK146: $i > $o).
% 0.22/0.44 thf(func_def_229, type, sK150: $i > $o).
% 0.22/0.44 thf(func_def_232, type, sK153: $i > $i > $i).
% 0.22/0.44 thf(func_def_233, type, sK154: $i > $o).
% 0.22/0.44 thf(func_def_234, type, sK155: $i > $i).
% 0.22/0.44 thf(func_def_235, type, sK156: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_242, type, ph163: !>[X0: $tType]:(X0)).
% 0.22/0.44 thf(f1224,plain,(
% 0.22/0.44 $false),
% 0.22/0.44 inference(subsumption_resolution,[],[f1221,f756])).
% 0.22/0.44 thf(f756,plain,(
% 0.22/0.44 ($true != (sK146 @ sK147))),
% 0.22/0.44 inference(cnf_transformation,[],[f509])).
% 0.22/0.44 thf(f509,plain,(
% 0.22/0.44 (dsetconstrEL = $true) & (emptysetAx = $true) & (exuE1 = $true) & (vacuousDall = $true) & (nonemptyI = $true) & (dsetconstrER = $true) & (setadjoinE = $true) & (setunionI = $true) & (replAx = $true) & (setunionE = $true) & (foundationAx = $true) & (setextAx = $true) & (setadjoinIL = $true) & (prop2setE = $true) & (powersetI = $true) & (omegaSAx = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (setadjoinIR = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (notinemptyset = $true) & (nonemptyI1 = $true) & (omegaIndAx = $true) & (emptyI = $true) & (singletonsswitch = $true) & (emptyInPowerset = $true) & (setoftrueEq = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan1 = $true) & (nonemptyImpWitness = $true) & (notinsingleton = $true) & (noeltsimpempty = $true) & (omega0Ax = $true) & (dsetconstrI = $true) & (setbeta = $true) & (upairsetE = $true) & (powersetE = $true) & (emptyE1 = $true) & (emptysetimpfalse = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (subPowSU = $true) & (setext = $true) & (eqinunit = $true) & (upairsetIL = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (quantDeMorgan2 = $true) & (! [X2] : (($true != (in @ X2 @ sK145)) | ($true = (sK146 @ X2))) & (($true = (in @ sK147 @ sK145)) & ($true != (sK146 @ sK147)))) & (uniqinunit = $true) & (descrp = $true) & (setunionAx = $true) & (setadjoinOr = $true)),
% 0.22/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK145,sK146,sK147])],[f506,f508,f507])).
% 0.22/0.44 thf(f507,plain,(
% 0.22/0.44 ? [X0,X1 : $i > $o] : (! [X2] : (($true != (in @ X2 @ X0)) | ($true = (X1 @ X2))) & ? [X3] : (($true = (in @ X3 @ X0)) & ($true != (X1 @ X3)))) => (! [X2] : (($true != (in @ X2 @ sK145)) | ($true = (sK146 @ X2))) & ? [X3] : (($true = (in @ X3 @ sK145)) & ($true != (sK146 @ X3))))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f508,plain,(
% 0.22/0.44 ? [X3] : (($true = (in @ X3 @ sK145)) & ($true != (sK146 @ X3))) => (($true = (in @ sK147 @ sK145)) & ($true != (sK146 @ sK147)))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f506,plain,(
% 0.22/0.44 (dsetconstrEL = $true) & (emptysetAx = $true) & (exuE1 = $true) & (vacuousDall = $true) & (nonemptyI = $true) & (dsetconstrER = $true) & (setadjoinE = $true) & (setunionI = $true) & (replAx = $true) & (setunionE = $true) & (foundationAx = $true) & (setextAx = $true) & (setadjoinIL = $true) & (prop2setE = $true) & (powersetI = $true) & (omegaSAx = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (setadjoinIR = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (notinemptyset = $true) & (nonemptyI1 = $true) & (omegaIndAx = $true) & (emptyI = $true) & (singletonsswitch = $true) & (emptyInPowerset = $true) & (setoftrueEq = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan1 = $true) & (nonemptyImpWitness = $true) & (notinsingleton = $true) & (noeltsimpempty = $true) & (omega0Ax = $true) & (dsetconstrI = $true) & (setbeta = $true) & (upairsetE = $true) & (powersetE = $true) & (emptyE1 = $true) & (emptysetimpfalse = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (subPowSU = $true) & (setext = $true) & (eqinunit = $true) & (upairsetIL = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (quantDeMorgan2 = $true) & ? [X0,X1 : $i > $o] : (! [X2] : (($true != (in @ X2 @ X0)) | ($true = (X1 @ X2))) & ? [X3] : (($true = (in @ X3 @ X0)) & ($true != (X1 @ X3)))) & (uniqinunit = $true) & (descrp = $true) & (setunionAx = $true) & (setadjoinOr = $true)),
% 0.22/0.44 inference(rectify,[],[f245])).
% 0.22/0.44 thf(f245,plain,(
% 0.22/0.44 (dsetconstrEL = $true) & (emptysetAx = $true) & (exuE1 = $true) & (vacuousDall = $true) & (nonemptyI = $true) & (dsetconstrER = $true) & (setadjoinE = $true) & (setunionI = $true) & (replAx = $true) & (setunionE = $true) & (foundationAx = $true) & (setextAx = $true) & (setadjoinIL = $true) & (prop2setE = $true) & (powersetI = $true) & (omegaSAx = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (setadjoinIR = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (notinemptyset = $true) & (nonemptyI1 = $true) & (omegaIndAx = $true) & (emptyI = $true) & (singletonsswitch = $true) & (emptyInPowerset = $true) & (setoftrueEq = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan1 = $true) & (nonemptyImpWitness = $true) & (notinsingleton = $true) & (noeltsimpempty = $true) & (omega0Ax = $true) & (dsetconstrI = $true) & (setbeta = $true) & (upairsetE = $true) & (powersetE = $true) & (emptyE1 = $true) & (emptysetimpfalse = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (subPowSU = $true) & (setext = $true) & (eqinunit = $true) & (upairsetIL = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (quantDeMorgan2 = $true) & ? [X0,X1 : $i > $o] : (! [X3] : (($true != (in @ X3 @ X0)) | ($true = (X1 @ X3))) & ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (X1 @ X2)))) & (uniqinunit = $true) & (descrp = $true) & (setunionAx = $true) & (setadjoinOr = $true)),
% 0.22/0.44 inference(flattening,[],[f244])).
% 0.22/0.44 thf(f244,plain,(
% 0.22/0.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1 : $i > $o] : (! [X3] : (($true != (in @ X3 @ X0)) | ($true = (X1 @ X3))) & ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (X1 @ X2)))) & (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)),
% 0.22/0.44 inference(ennf_transformation,[],[f175])).
% 0.22/0.44 thf(f175,plain,(
% 0.22/0.44 ~((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) => ! [X0,X1 : $i > $o] : (? [X2] : (($true = (in @ X2 @ X0)) & ($true != (X1 @ X2))) => ~! [X3] : (($true = (in @ X3 @ X0)) => ($true = (X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(flattening,[],[f112])).
% 0.22/0.44 thf(f112,plain,(
% 0.22/0.44 ~((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) => ! [X0,X1 : $i > $o] : (? [X2] : (($true = (in @ X2 @ X0)) & ~($true = (X1 @ X2))) => ~! [X3] : (($true = (in @ X3 @ X0)) => ($true = (X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f111])).
% 0.22/0.44 thf(f111,plain,(
% 0.22/0.44 ~(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 => ! [X0,X1 : $i > $o] : (? [X2] : ((in @ X2 @ X0) & ~(X1 @ X2)) => ~! [X3] : ((in @ X3 @ X0) => (X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(rectify,[],[f60])).
% 0.22/0.44 thf(f60,negated_conjecture,(
% 0.22/0.44 ~(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 => ! [X3,X0 : $i > $o] : (? [X1] : ((in @ X1 @ X3) & ~(X0 @ X1)) => ~! [X1] : ((in @ X1 @ X3) => (X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(negated_conjecture,[],[f59])).
% 0.22/0.44 thf(f59,conjecture,(
% 0.22/0.44 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 => ! [X3,X0 : $i > $o] : (? [X1] : ((in @ X1 @ X3) & ~(X0 @ X1)) => ~! [X1] : ((in @ X1 @ X3) => (X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan4)).
% 0.22/0.44 thf(f1221,plain,(
% 0.22/0.44 ($true = (sK146 @ sK147))),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f1203])).
% 0.22/0.44 thf(f1203,plain,(
% 0.22/0.44 ($true != $true) | ($true = (sK146 @ sK147))),
% 0.22/0.44 inference(superposition,[],[f758,f757])).
% 0.22/0.44 thf(f757,plain,(
% 0.22/0.44 ($true = (in @ sK147 @ sK145))),
% 0.22/0.44 inference(cnf_transformation,[],[f509])).
% 0.22/0.44 thf(f758,plain,(
% 0.22/0.44 ( ! [X2 : $i] : (($true != (in @ X2 @ sK145)) | ($true = (sK146 @ X2))) )),
% 0.22/0.44 inference(cnf_transformation,[],[f509])).
% 0.22/0.44 % SZS output end Proof for theBenchmark
% 0.22/0.44 % (15757)------------------------------
% 0.22/0.44 % (15757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (15757)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (15757)Memory used [KB]: 6652
% 0.22/0.44 % (15757)Time elapsed: 0.044 s
% 0.22/0.44 % (15757)Instructions burned: 74 (million)
% 0.22/0.44 % (15757)------------------------------
% 0.22/0.44 % (15757)------------------------------
% 0.22/0.44 % (15751)Success in time 0.045 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------