TSTP Solution File: SEU568^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU568^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 03:49:38 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU568^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 18:12:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (4263)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (4264)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)
% 0.15/0.39 % (4266)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (4267)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)
% 0.15/0.39 % (4265)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)
% 0.15/0.39 % (4268)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)
% 0.15/0.39 % (4270)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)
% 0.15/0.39 % (4266)Instruction limit reached!
% 0.15/0.39 % (4266)------------------------------
% 0.15/0.39 % (4266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (4266)Termination reason: Unknown
% 0.15/0.39 % (4267)Instruction limit reached!
% 0.15/0.39 % (4267)------------------------------
% 0.15/0.39 % (4267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (4267)Termination reason: Unknown
% 0.15/0.39 % (4267)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (4267)Memory used [KB]: 1151
% 0.15/0.39 % (4267)Time elapsed: 0.004 s
% 0.15/0.39 % (4267)Instructions burned: 3 (million)
% 0.15/0.39 % (4267)------------------------------
% 0.15/0.39 % (4267)------------------------------
% 0.15/0.39 % (4266)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (4266)Memory used [KB]: 1151
% 0.15/0.39 % (4266)Time elapsed: 0.004 s
% 0.15/0.39 % (4266)Instructions burned: 3 (million)
% 0.15/0.39 % (4266)------------------------------
% 0.15/0.39 % (4266)------------------------------
% 0.15/0.39 % (4270)Instruction limit reached!
% 0.15/0.39 % (4270)------------------------------
% 0.15/0.39 % (4270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (4270)Termination reason: Unknown
% 0.15/0.39 % (4270)Termination phase: shuffling
% 0.15/0.39 % (4269)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39
% 0.15/0.39 % (4270)Memory used [KB]: 1151
% 0.15/0.39 % (4270)Time elapsed: 0.003 s
% 0.15/0.39 % (4270)Instructions burned: 3 (million)
% 0.15/0.39 % (4270)------------------------------
% 0.15/0.39 % (4270)------------------------------
% 0.15/0.39 % (4264)Instruction limit reached!
% 0.15/0.39 % (4264)------------------------------
% 0.15/0.39 % (4264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (4264)Termination reason: Unknown
% 0.15/0.39 % (4264)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (4264)Memory used [KB]: 1151
% 0.15/0.39 % (4264)Time elapsed: 0.005 s
% 0.15/0.39 % (4264)Instructions burned: 5 (million)
% 0.15/0.39 % (4264)------------------------------
% 0.15/0.39 % (4264)------------------------------
% 0.15/0.40 % (4269)Instruction limit reached!
% 0.15/0.40 % (4269)------------------------------
% 0.15/0.40 % (4269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (4269)Termination reason: Unknown
% 0.15/0.40 % (4269)Termination phase: Preprocessing 3
% 0.15/0.40
% 0.15/0.40 % (4269)Memory used [KB]: 1663
% 0.15/0.40 % (4269)Time elapsed: 0.013 s
% 0.15/0.40 % (4269)Instructions burned: 19 (million)
% 0.15/0.40 % (4269)------------------------------
% 0.15/0.40 % (4269)------------------------------
% 0.15/0.40 % (4265)Instruction limit reached!
% 0.15/0.40 % (4265)------------------------------
% 0.15/0.40 % (4265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (4265)Termination reason: Unknown
% 0.15/0.40 % (4265)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (4265)Memory used [KB]: 1407
% 0.15/0.40 % (4265)Time elapsed: 0.015 s
% 0.15/0.40 % (4265)Instructions burned: 28 (million)
% 0.15/0.40 % (4265)------------------------------
% 0.15/0.40 % (4265)------------------------------
% 0.15/0.40 % (4271)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)
% 0.15/0.40 % (4272)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)
% 0.15/0.40 % (4273)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)
% 0.15/0.40 % (4274)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)
% 0.15/0.40 % (4273)Instruction limit reached!
% 0.15/0.40 % (4273)------------------------------
% 0.15/0.40 % (4273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (4273)Termination reason: Unknown
% 0.15/0.40 % (4273)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (4273)Memory used [KB]: 1151
% 0.15/0.40 % (4273)Time elapsed: 0.004 s
% 0.15/0.40 % (4273)Instructions burned: 4 (million)
% 0.15/0.40 % (4273)------------------------------
% 0.15/0.40 % (4273)------------------------------
% 0.15/0.41 % (4272)Instruction limit reached!
% 0.15/0.41 % (4272)------------------------------
% 0.15/0.41 % (4272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (4272)Termination reason: Unknown
% 0.15/0.41 % (4272)Termination phase: Preprocessing 3
% 0.15/0.41
% 0.15/0.41 % (4272)Memory used [KB]: 1407
% 0.15/0.41 % (4272)Time elapsed: 0.011 s
% 0.15/0.41 % (4272)Instructions burned: 15 (million)
% 0.15/0.41 % (4272)------------------------------
% 0.15/0.41 % (4272)------------------------------
% 0.15/0.41 % (4275)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.41 % (4276)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (4275)Instruction limit reached!
% 0.21/0.42 % (4275)------------------------------
% 0.21/0.42 % (4275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (4275)Termination reason: Unknown
% 0.21/0.42 % (4275)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (4275)Memory used [KB]: 1279
% 0.21/0.42 % (4275)Time elapsed: 0.006 s
% 0.21/0.42 % (4275)Instructions burned: 8 (million)
% 0.21/0.42 % (4275)------------------------------
% 0.21/0.42 % (4275)------------------------------
% 0.21/0.42 % (4271)Instruction limit reached!
% 0.21/0.42 % (4271)------------------------------
% 0.21/0.42 % (4271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (4271)Termination reason: Unknown
% 0.21/0.42 % (4271)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (4271)Memory used [KB]: 1407
% 0.21/0.42 % (4271)Time elapsed: 0.019 s
% 0.21/0.42 % (4271)Instructions burned: 37 (million)
% 0.21/0.42 % (4271)------------------------------
% 0.21/0.42 % (4271)------------------------------
% 0.21/0.42 % (4277)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)
% 0.21/0.42 % (4277)Instruction limit reached!
% 0.21/0.42 % (4277)------------------------------
% 0.21/0.42 % (4277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (4277)Termination reason: Unknown
% 0.21/0.42 % (4277)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (4277)Memory used [KB]: 1151
% 0.21/0.42 % (4277)Time elapsed: 0.004 s
% 0.21/0.42 % (4277)Instructions burned: 4 (million)
% 0.21/0.42 % (4277)------------------------------
% 0.21/0.42 % (4277)------------------------------
% 0.21/0.42 % (4276)Instruction limit reached!
% 0.21/0.42 % (4276)------------------------------
% 0.21/0.42 % (4276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (4276)Termination reason: Unknown
% 0.21/0.42 % (4276)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (4276)Memory used [KB]: 1407
% 0.21/0.42 % (4276)Time elapsed: 0.011 s
% 0.21/0.42 % (4276)Instructions burned: 17 (million)
% 0.21/0.42 % (4276)------------------------------
% 0.21/0.42 % (4276)------------------------------
% 0.21/0.42 % (4268)First to succeed.
% 0.21/0.43 % (4278)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)
% 0.21/0.43 % (4263)Also succeeded, but the first one will report.
% 0.21/0.43 % (4278)Instruction limit reached!
% 0.21/0.43 % (4278)------------------------------
% 0.21/0.43 % (4278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (4278)Termination reason: Unknown
% 0.21/0.43 % (4278)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (4278)Memory used [KB]: 1151
% 0.21/0.43 % (4278)Time elapsed: 0.004 s
% 0.21/0.43 % (4278)Instructions burned: 4 (million)
% 0.21/0.43 % (4268)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% 0.21/0.43 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.43 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.43 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.43 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.43 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.43 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.43 thf(func_def_36, type, nonempty: $i > $o).
% 0.21/0.43 thf(func_def_69, type, set2prop: $i > $o).
% 0.21/0.43 thf(func_def_88, type, subset: $i > $i > $o).
% 0.21/0.43 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.21/0.43 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.21/0.43 thf(func_def_113, type, sP1: $i > $i > $o).
% 0.21/0.43 thf(func_def_114, type, sP2: $i > $o).
% 0.21/0.43 thf(func_def_115, type, sP3: $i > $i > $o).
% 0.21/0.43 thf(func_def_116, type, sP4: $i > $i > $o).
% 0.21/0.43 thf(func_def_117, type, sK5: $i > $o).
% 0.21/0.43 thf(func_def_118, type, sK6: $i > $o).
% 0.21/0.43 thf(func_def_119, type, sK7: ($i > $o) > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_120, type, sK8: ($i > $o) > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_123, type, sK11: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_125, type, sK13: $i > $o).
% 0.21/0.43 thf(func_def_127, type, sK15: $i > $i).
% 0.21/0.43 thf(func_def_140, type, sK28: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_141, type, sK29: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_142, type, sK30: $i > $o).
% 0.21/0.43 thf(func_def_146, type, sK34: $i > $i > $i).
% 0.21/0.43 thf(func_def_157, type, sK45: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_158, type, sK46: $i > $o).
% 0.21/0.43 thf(func_def_159, type, sK47: $i > $i).
% 0.21/0.43 thf(func_def_161, type, sK49: $i > $o).
% 0.21/0.43 thf(func_def_165, type, sK53: $i > $o).
% 0.21/0.43 thf(func_def_168, type, sK56: $i > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_169, type, sK57: $i > $i).
% 0.21/0.43 thf(func_def_172, type, sK60: $i > $i).
% 0.21/0.43 thf(func_def_173, type, sK61: $i > $o).
% 0.21/0.43 thf(func_def_179, type, sK67: $i > $o).
% 0.21/0.43 thf(func_def_181, type, sK69: $i > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_182, type, sK70: $i > $i > $i).
% 0.21/0.43 thf(func_def_188, type, sK76: $i > $o).
% 0.21/0.43 thf(func_def_193, type, sK81: $i > $o).
% 0.21/0.43 thf(func_def_194, type, sK82: $i > $o).
% 0.21/0.43 thf(func_def_195, type, sK83: ($i > $o) > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_196, type, sK84: ($i > $o) > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_197, type, sK85: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_199, type, sK87: $i > $o).
% 0.21/0.43 thf(func_def_201, type, sK89: $i > $o).
% 0.21/0.43 thf(func_def_204, type, sK92: $i > $i > $i).
% 0.21/0.43 thf(func_def_205, type, sK93: $i > $i > $i).
% 0.21/0.43 thf(func_def_212, type, sK100: $i > $i > $i).
% 0.21/0.43 thf(func_def_218, type, sK106: $i > $i).
% 0.21/0.43 thf(func_def_221, type, sK109: $i > $o).
% 0.21/0.43 thf(func_def_223, type, sK111: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_228, type, sK116: $i > $o).
% 0.21/0.43 thf(func_def_229, type, sK117: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.43 thf(func_def_230, type, sK118: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.43 thf(func_def_233, type, sK121: $i > $o).
% 0.21/0.43 thf(func_def_234, type, sK122: $i > $o).
% 0.21/0.43 thf(func_def_235, type, sK123: $i > $i > $i).
% 0.21/0.43 thf(func_def_240, type, sK128: $i > $o).
% 0.21/0.43 thf(func_def_246, type, sK134: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_247, type, sK135: $i > $o).
% 0.21/0.43 thf(func_def_252, type, sK140: $i > $i > $i).
% 0.21/0.43 thf(func_def_259, type, sK147: $i > $i > $i).
% 0.21/0.43 thf(func_def_260, type, sK148: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_262, type, sK150: $i > $o).
% 0.21/0.43 thf(func_def_264, type, sK152: $i > $i).
% 0.21/0.43 thf(func_def_268, type, sK156: $i > $i > $o).
% 0.21/0.43 thf(func_def_270, type, sK158: $i > $i).
% 0.21/0.43 thf(func_def_271, type, sK159: $i > $i).
% 0.21/0.43 thf(func_def_272, type, sK160: $i > ($i > $i > $o) > $i).
% 0.21/0.43 thf(func_def_273, type, sK161: $i > ($i > $i > $o) > $i).
% 0.21/0.43 thf(func_def_274, type, sK162: $i > $i > ($i > $i > $o) > $i).
% 0.21/0.43 thf(func_def_275, type, sK163: $i > $i).
% 0.21/0.43 thf(func_def_278, type, sK166: $i > $o).
% 0.21/0.43 thf(func_def_280, type, sK168: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_281, type, sK169: $i > $o).
% 0.21/0.43 thf(func_def_282, type, sK170: $i > $i).
% 0.21/0.43 thf(func_def_286, type, sK174: $i > $i).
% 0.21/0.43 thf(func_def_292, type, sK180: $i > $o).
% 0.21/0.43 thf(func_def_302, type, sK190: $i > $i > $i).
% 0.21/0.43 thf(func_def_303, type, sK191: $i > $i > $i).
% 0.21/0.43 thf(func_def_304, type, sK192: $i > $i > $i).
% 0.21/0.43 thf(func_def_305, type, sK193: $i > $i > $i).
% 0.21/0.43 thf(func_def_306, type, sK194: $i > $i > $i > $i).
% 0.21/0.43 thf(func_def_307, type, sK195: $i > $i).
% 0.21/0.43 thf(func_def_308, type, sK196: $i > $i).
% 0.21/0.43 thf(func_def_309, type, sK197: $i > $i).
% 0.21/0.43 thf(func_def_310, type, sK198: $i > $i).
% 0.21/0.43 thf(func_def_311, type, sK199: $i > $i > $i > $i).
% 0.21/0.43 thf(func_def_312, type, sK200: $i > $i > $i > $i).
% 0.21/0.43 thf(func_def_313, type, sK201: $i > $i > $i).
% 0.21/0.43 thf(func_def_314, type, sK202: $i > $i > $i).
% 0.21/0.43 thf(func_def_315, type, sK203: $i > $i > $i).
% 0.21/0.43 thf(func_def_316, type, sK204: $i > $i).
% 0.21/0.43 thf(func_def_317, type, sK205: $i > $i > $i).
% 0.21/0.43 thf(func_def_319, type, sK207: $i > $i).
% 0.21/0.43 thf(func_def_320, type, sK208: $i > $i).
% 0.21/0.43 thf(func_def_324, type, sK212: $o > $i > $i > $i).
% 0.21/0.43 thf(func_def_333, type, sK221: $i > $o).
% 0.21/0.43 thf(func_def_335, type, sK223: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_340, type, sK228: $i > $o).
% 0.21/0.43 thf(func_def_343, type, sK231: $i > $o).
% 0.21/0.43 thf(func_def_348, type, sK236: $i > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_349, type, sK237: $i > $o).
% 0.21/0.43 thf(func_def_357, type, ph245: !>[X0: $tType]:(X0)).
% 0.21/0.43 thf(f1751,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(subsumption_resolution,[],[f999,f1366])).
% 0.21/0.43 thf(f1366,plain,(
% 0.21/0.43 ($true != (in @ sK102 @ sK103))),
% 0.21/0.43 inference(definition_unfolding,[],[f998,f1000])).
% 0.21/0.43 thf(f1000,plain,(
% 0.21/0.43 (sK101 = sK103)),
% 0.21/0.43 inference(cnf_transformation,[],[f541])).
% 0.21/0.43 thf(f541,plain,(
% 0.21/0.43 (descr__Cong = $true) & (emptysetE = $true) & (vacuousDall = $true) & (nonemptyImpWitness = $true) & (setoftrueEq = $true) & (setunionI = $true) & (dsetconstr__Cong = $true) & (quantDeMorgan4 = $true) & (subsetE2 = $true) & (quantDeMorgan2 = $true) & (subsetI1 = $true) & ((sK101 = sK103) & ($true = (in @ sK102 @ sK103)) & ((in @ sK102 @ sK101) != $true)) & (prop2set2propI = $true) & (prop2setE = $true) & (uniqinunit = $true) & (nonemptyI = $true) & (exuE3u = $true) & (in__Cong = $true) & (powerset__Cong = $true) & (eqimpsubset2 = $true) & (subsetE = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (exuI2 = $true) & (wellorderingAx = $true) & (notequalI1 = $true) & (omega0Ax = $true) & (omegaIndAx = $true) & (emptysetAx = $true) & (notdallE = $true) & (setadjoinIR = $true) & (powersetE = $true) & (noeltsimpempty = $true) & (nonemptyE1 = $true) & (upairsetIR = $true) & (emptysetimpfalse = $true) & (emptyset__Cong = $true) & (exuI1 = $true) & (exuE2 = $true) & (dsetconstrEL = $true) & (notdexE = $true) & (setadjoinAx = $true) & (prop2setI = $true) & (replAx = $true) & (emptyinunitempty = $true) & (subPowSU = $true) & (setunion__Cong = $true) & (nonemptyI1 = $true) & (emptysetsubset = $true) & (descrp = $true) & (subsetI2 = $true) & (exu__Cong = $true) & (powersetI = $true) & (singletonsswitch = $true) & (exuEu = $true) & (notinemptyset = $true) & (setadjoinOr = $true) & (setext = $true) & (setunionAx = $true) & (emptyI = $true) & (upairsetIL = $true) & (omegaSAx = $true) & (setbeta = $true) & (dsetconstrI = $true) & (omega__Cong = $true) & (notsubsetI = $true) & (emptyE1 = $true) & (eqimpsubset1 = $true) & (powersetAx = $true) & (inCongP = $true) & (setadjoinE = $true) & (setextAx = $true) & (exuE1 = $true) & (setunionE = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (emptyInPowerset = $true) & (quantDeMorgan1 = $true) & (exuE3e = $true) & (upairsetE = $true) & (setadjoin__Cong = $true) & (notinsingleton = $true) & (exuI3 = $true) & (quantDeMorgan3 = $true) & (dsetconstrER = $true)),
% 0.21/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK101,sK102,sK103])],[f307,f540])).
% 0.21/0.43 thf(f540,plain,(
% 0.21/0.43 ? [X0,X1,X2] : ((X0 = X2) & ($true = (in @ X1 @ X2)) & ((in @ X1 @ X0) != $true)) => ((sK101 = sK103) & ($true = (in @ sK102 @ sK103)) & ((in @ sK102 @ sK101) != $true))),
% 0.21/0.43 introduced(choice_axiom,[])).
% 0.21/0.43 thf(f307,plain,(
% 0.21/0.43 (descr__Cong = $true) & (emptysetE = $true) & (vacuousDall = $true) & (nonemptyImpWitness = $true) & (setoftrueEq = $true) & (setunionI = $true) & (dsetconstr__Cong = $true) & (quantDeMorgan4 = $true) & (subsetE2 = $true) & (quantDeMorgan2 = $true) & (subsetI1 = $true) & ? [X0,X1,X2] : ((X0 = X2) & ($true = (in @ X1 @ X2)) & ((in @ X1 @ X0) != $true)) & (prop2set2propI = $true) & (prop2setE = $true) & (uniqinunit = $true) & (nonemptyI = $true) & (exuE3u = $true) & (in__Cong = $true) & (powerset__Cong = $true) & (eqimpsubset2 = $true) & (subsetE = $true) & (emptyinPowerset = $true) & (eqinunit = $true) & (exuI2 = $true) & (wellorderingAx = $true) & (notequalI1 = $true) & (omega0Ax = $true) & (omegaIndAx = $true) & (emptysetAx = $true) & (notdallE = $true) & (setadjoinIR = $true) & (powersetE = $true) & (noeltsimpempty = $true) & (nonemptyE1 = $true) & (upairsetIR = $true) & (emptysetimpfalse = $true) & (emptyset__Cong = $true) & (exuI1 = $true) & (exuE2 = $true) & (dsetconstrEL = $true) & (notdexE = $true) & (setadjoinAx = $true) & (prop2setI = $true) & (replAx = $true) & (emptyinunitempty = $true) & (subPowSU = $true) & (setunion__Cong = $true) & (nonemptyI1 = $true) & (emptysetsubset = $true) & (descrp = $true) & (subsetI2 = $true) & (exu__Cong = $true) & (powersetI = $true) & (singletonsswitch = $true) & (exuEu = $true) & (notinemptyset = $true) & (setadjoinOr = $true) & (setext = $true) & (setunionAx = $true) & (emptyI = $true) & (upairsetIL = $true) & (omegaSAx = $true) & (setbeta = $true) & (dsetconstrI = $true) & (omega__Cong = $true) & (notsubsetI = $true) & (emptyE1 = $true) & (eqimpsubset1 = $true) & (powersetAx = $true) & (inCongP = $true) & (setadjoinE = $true) & (setextAx = $true) & (exuE1 = $true) & (setunionE = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (emptyInPowerset = $true) & (quantDeMorgan1 = $true) & (exuE3e = $true) & (upairsetE = $true) & (setadjoin__Cong = $true) & (notinsingleton = $true) & (exuI3 = $true) & (quantDeMorgan3 = $true) & (dsetconstrER = $true)),
% 0.21/0.43 inference(flattening,[],[f306])).
% 0.21/0.43 thf(f306,plain,(
% 0.21/0.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (((X0 = X2) & ((in @ X1 @ X0) != $true)) & ($true = (in @ X1 @ X2))) & (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)),
% 0.21/0.43 inference(ennf_transformation,[],[f258])).
% 0.21/0.43 thf(f258,plain,(
% 0.21/0.43 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ X1 @ X2)) => (((in @ X1 @ X0) != $true) => (X0 != X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(flattening,[],[f192])).
% 0.21/0.43 thf(f192,plain,(
% 0.21/0.43 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ X1 @ X2)) => (~((in @ X1 @ X0) = $true) => (X0 != X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f191])).
% 0.21/0.43 thf(f191,plain,(
% 0.21/0.43 ~(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 => ! [X0,X1,X2] : ((in @ X1 @ X2) => (~(in @ X1 @ X0) => (X0 != X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(rectify,[],[f88])).
% 0.21/0.43 thf(f88,negated_conjecture,(
% 0.21/0.43 ~(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 => ! [X4,X1,X3] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => (X3 != X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(negated_conjecture,[],[f87])).
% 0.21/0.43 thf(f87,conjecture,(
% 0.21/0.43 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 => ! [X4,X1,X3] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => (X3 != X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',notequalI2)).
% 0.21/0.43 thf(f998,plain,(
% 0.21/0.43 ((in @ sK102 @ sK101) != $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f541])).
% 0.21/0.43 thf(f999,plain,(
% 0.21/0.43 ($true = (in @ sK102 @ sK103))),
% 0.21/0.43 inference(cnf_transformation,[],[f541])).
% 0.21/0.43 % SZS output end Proof for theBenchmark
% 0.21/0.43 % (4268)------------------------------
% 0.21/0.43 % (4268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (4268)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (4268)Memory used [KB]: 6780
% 0.21/0.43 % (4268)Time elapsed: 0.043 s
% 0.21/0.43 % (4268)Instructions burned: 69 (million)
% 0.21/0.43 % (4268)------------------------------
% 0.21/0.43 % (4268)------------------------------
% 0.21/0.43 % (4262)Success in time 0.044 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------