TSTP Solution File: SEU538^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU538^1 : 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 : n005.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 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU538^1 : 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
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 16:12:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (13203)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (13202)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)
% 0.14/0.38 % (13201)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)
% 0.14/0.38 % (13199)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)
% 0.14/0.38 % (13204)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)
% 0.14/0.38 % (13197)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (13200)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (13200)Instruction limit reached!
% 0.14/0.38 % (13200)------------------------------
% 0.14/0.38 % (13200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13200)Termination reason: Unknown
% 0.14/0.38 % (13200)Termination phase: shuffling
% 0.14/0.38 % (13201)Instruction limit reached!
% 0.14/0.38 % (13201)------------------------------
% 0.14/0.38 % (13201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13201)Termination reason: Unknown
% 0.14/0.38 % (13201)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (13201)Memory used [KB]: 1023
% 0.14/0.38 % (13201)Time elapsed: 0.003 s
% 0.14/0.38 % (13201)Instructions burned: 3 (million)
% 0.14/0.38 % (13201)------------------------------
% 0.14/0.38 % (13201)------------------------------
% 0.14/0.38
% 0.14/0.38 % (13200)Memory used [KB]: 1023
% 0.14/0.38 % (13200)Time elapsed: 0.003 s
% 0.14/0.38 % (13200)Instructions burned: 2 (million)
% 0.14/0.38 % (13200)------------------------------
% 0.14/0.38 % (13200)------------------------------
% 0.14/0.38 % (13204)Instruction limit reached!
% 0.14/0.38 % (13204)------------------------------
% 0.14/0.38 % (13204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13204)Termination reason: Unknown
% 0.14/0.38 % (13204)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (13204)Memory used [KB]: 1023
% 0.14/0.38 % (13204)Time elapsed: 0.003 s
% 0.14/0.38 % (13204)Instructions burned: 4 (million)
% 0.14/0.38 % (13204)------------------------------
% 0.14/0.38 % (13204)------------------------------
% 0.14/0.38 % (13198)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)
% 0.14/0.39 % (13198)Instruction limit reached!
% 0.14/0.39 % (13198)------------------------------
% 0.14/0.39 % (13198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13198)Termination reason: Unknown
% 0.14/0.39 % (13198)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13198)Memory used [KB]: 1151
% 0.14/0.39 % (13198)Time elapsed: 0.004 s
% 0.14/0.39 % (13198)Instructions burned: 4 (million)
% 0.14/0.39 % (13198)------------------------------
% 0.14/0.39 % (13198)------------------------------
% 0.14/0.39 % (13203)Instruction limit reached!
% 0.14/0.39 % (13203)------------------------------
% 0.14/0.39 % (13203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13203)Termination reason: Unknown
% 0.14/0.39 % (13203)Termination phase: Preprocessing 3
% 0.14/0.39
% 0.14/0.39 % (13203)Memory used [KB]: 1663
% 0.14/0.39 % (13203)Time elapsed: 0.012 s
% 0.14/0.39 % (13203)Instructions burned: 19 (million)
% 0.14/0.39 % (13203)------------------------------
% 0.14/0.39 % (13203)------------------------------
% 0.14/0.39 % (13199)Instruction limit reached!
% 0.14/0.39 % (13199)------------------------------
% 0.14/0.39 % (13199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13199)Termination reason: Unknown
% 0.14/0.39 % (13199)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (13199)Memory used [KB]: 1279
% 0.14/0.39 % (13199)Time elapsed: 0.016 s
% 0.14/0.39 % (13199)Instructions burned: 27 (million)
% 0.14/0.39 % (13199)------------------------------
% 0.14/0.39 % (13199)------------------------------
% 0.14/0.40 % (13206)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)
% 0.14/0.40 % (13205)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)
% 0.14/0.40 % (13207)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)
% 0.14/0.40 % (13207)Instruction limit reached!
% 0.14/0.40 % (13207)------------------------------
% 0.14/0.40 % (13207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (13207)Termination reason: Unknown
% 0.14/0.40 % (13207)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (13207)Memory used [KB]: 1023
% 0.14/0.40 % (13207)Time elapsed: 0.003 s
% 0.14/0.40 % (13207)Instructions burned: 4 (million)
% 0.14/0.40 % (13207)------------------------------
% 0.14/0.40 % (13207)------------------------------
% 0.21/0.40 % (13208)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)
% 0.21/0.40 % (13206)Instruction limit reached!
% 0.21/0.40 % (13206)------------------------------
% 0.21/0.40 % (13206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (13206)Termination reason: Unknown
% 0.21/0.40 % (13206)Termination phase: Preprocessing 3
% 0.21/0.40
% 0.21/0.40 % (13206)Memory used [KB]: 1407
% 0.21/0.40 % (13206)Time elapsed: 0.010 s
% 0.21/0.40 % (13206)Instructions burned: 15 (million)
% 0.21/0.40 % (13206)------------------------------
% 0.21/0.40 % (13206)------------------------------
% 0.21/0.40 % (13209)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (13209)Instruction limit reached!
% 0.21/0.41 % (13209)------------------------------
% 0.21/0.41 % (13209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (13211)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (13209)Termination reason: Unknown
% 0.21/0.41 % (13209)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (13209)Memory used [KB]: 1151
% 0.21/0.41 % (13209)Time elapsed: 0.005 s
% 0.21/0.41 % (13209)Instructions burned: 7 (million)
% 0.21/0.41 % (13209)------------------------------
% 0.21/0.41 % (13209)------------------------------
% 0.21/0.41 % (13212)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)
% 0.21/0.41 % (13212)Instruction limit reached!
% 0.21/0.41 % (13212)------------------------------
% 0.21/0.41 % (13212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (13212)Termination reason: Unknown
% 0.21/0.41 % (13212)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (13212)Memory used [KB]: 1151
% 0.21/0.41 % (13212)Time elapsed: 0.003 s
% 0.21/0.41 % (13212)Instructions burned: 4 (million)
% 0.21/0.41 % (13212)------------------------------
% 0.21/0.41 % (13212)------------------------------
% 0.21/0.41 % (13205)Instruction limit reached!
% 0.21/0.41 % (13205)------------------------------
% 0.21/0.41 % (13205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (13205)Termination reason: Unknown
% 0.21/0.41 % (13205)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (13205)Memory used [KB]: 5756
% 0.21/0.41 % (13205)Time elapsed: 0.021 s
% 0.21/0.41 % (13205)Instructions burned: 37 (million)
% 0.21/0.41 % (13205)------------------------------
% 0.21/0.41 % (13205)------------------------------
% 0.21/0.42 % (13211)Instruction limit reached!
% 0.21/0.42 % (13211)------------------------------
% 0.21/0.42 % (13211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13211)Termination reason: Unknown
% 0.21/0.42 % (13211)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (13211)Memory used [KB]: 1279
% 0.21/0.42 % (13211)Time elapsed: 0.010 s
% 0.21/0.42 % (13211)Instructions burned: 16 (million)
% 0.21/0.42 % (13211)------------------------------
% 0.21/0.42 % (13211)------------------------------
% 0.21/0.42 % (13213)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)
% 0.21/0.42 % (13202)First to succeed.
% 0.21/0.42 % (13213)Instruction limit reached!
% 0.21/0.42 % (13213)------------------------------
% 0.21/0.42 % (13213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13213)Termination reason: Unknown
% 0.21/0.42 % (13213)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (13213)Memory used [KB]: 1023
% 0.21/0.42 % (13213)Time elapsed: 0.003 s
% 0.21/0.42 % (13213)Instructions burned: 3 (million)
% 0.21/0.42 % (13213)------------------------------
% 0.21/0.42 % (13213)------------------------------
% 0.21/0.42 % (13214)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (13202)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% 0.21/0.42 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.42 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.42 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.42 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.42 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.42 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.42 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.42 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.42 thf(func_def_36, type, nonempty: $i > $o).
% 0.21/0.42 thf(func_def_78, type, sP0: $i > $i > $o).
% 0.21/0.42 thf(func_def_79, type, sP1: $i > $o).
% 0.21/0.42 thf(func_def_80, type, sP2: $i > $i > $o).
% 0.21/0.42 thf(func_def_81, type, sP3: $i > $i > $o).
% 0.21/0.42 thf(func_def_83, type, sK5: ($i > $o) > $i).
% 0.21/0.42 thf(func_def_84, type, sK6: $i > $o).
% 0.21/0.42 thf(func_def_93, type, sK15: $i > $i > $i).
% 0.21/0.42 thf(func_def_94, type, sK16: $i > $i > $i).
% 0.21/0.42 thf(func_def_95, type, sK17: $i > $o).
% 0.21/0.42 thf(func_def_103, type, sK25: $i > $i).
% 0.21/0.42 thf(func_def_104, type, sK26: $i > $o).
% 0.21/0.42 thf(func_def_108, type, sK30: $i > $i).
% 0.21/0.42 thf(func_def_112, type, sK34: $o > $i > $i > $i).
% 0.21/0.42 thf(func_def_122, type, sK44: $i > $o).
% 0.21/0.42 thf(func_def_124, type, sK46: $i > $i > $i).
% 0.21/0.42 thf(func_def_125, type, sK47: $i > $i > $i).
% 0.21/0.42 thf(func_def_126, type, sK48: $i > $i > $i).
% 0.21/0.42 thf(func_def_127, type, sK49: $i > $i > $i).
% 0.21/0.42 thf(func_def_128, type, sK50: $i > $i > $i).
% 0.21/0.42 thf(func_def_129, type, sK51: $i > $i > $i > $i).
% 0.21/0.42 thf(func_def_130, type, sK52: $i > $i).
% 0.21/0.42 thf(func_def_131, type, sK53: $i > $i).
% 0.21/0.42 thf(func_def_132, type, sK54: $i > $i).
% 0.21/0.42 thf(func_def_133, type, sK55: $i > $i).
% 0.21/0.42 thf(func_def_134, type, sK56: $i > $i > $i > $i).
% 0.21/0.42 thf(func_def_135, type, sK57: $i > $i > $i > $i).
% 0.21/0.42 thf(func_def_136, type, sK58: $i > $i > $i).
% 0.21/0.42 thf(func_def_137, type, sK59: $i > $i > $i).
% 0.21/0.42 thf(func_def_138, type, sK60: $i > $i > $i).
% 0.21/0.42 thf(func_def_140, type, sK62: $i > $i).
% 0.21/0.42 thf(func_def_141, type, sK63: $i > $i).
% 0.21/0.42 thf(func_def_142, type, sK64: $i > $i).
% 0.21/0.42 thf(func_def_145, type, sK67: $i > $i > $i).
% 0.21/0.42 thf(func_def_146, type, sK68: $i > $o).
% 0.21/0.42 thf(func_def_147, type, sK69: $i > $i).
% 0.21/0.42 thf(func_def_148, type, sK70: ($i > $o) > $i).
% 0.21/0.42 thf(func_def_149, type, sK71: $i > $o).
% 0.21/0.42 thf(func_def_152, type, sK74: $i > ($i > $o) > $i).
% 0.21/0.42 thf(func_def_157, type, sK79: $i > $i > $i).
% 0.21/0.42 thf(func_def_168, type, sK90: ($i > $o) > $i > $i).
% 0.21/0.42 thf(func_def_170, type, sK92: $i > $o).
% 0.21/0.42 thf(func_def_173, type, sK95: $i > $o).
% 0.21/0.42 thf(func_def_180, type, sK102: $i > $i).
% 0.21/0.42 thf(func_def_183, type, sK105: $i > $i).
% 0.21/0.42 thf(func_def_186, type, sK108: $i > $o).
% 0.21/0.42 thf(func_def_189, type, sK111: $i > $i > $i).
% 0.21/0.42 thf(func_def_196, type, sK118: $i > $i).
% 0.21/0.42 thf(func_def_198, type, sK120: $i > $i).
% 0.21/0.42 thf(func_def_200, type, sK122: $i > $i).
% 0.21/0.42 thf(func_def_201, type, sK123: $i > $o).
% 0.21/0.42 thf(func_def_202, type, sK124: $i > $i).
% 0.21/0.42 thf(func_def_203, type, sK125: ($i > $o) > $i).
% 0.21/0.42 thf(func_def_205, type, sK127: $i > $o).
% 0.21/0.42 thf(func_def_213, type, sK135: $i > $i > $i).
% 0.21/0.42 thf(func_def_217, type, sK139: $i > $o).
% 0.21/0.42 thf(func_def_226, type, sK148: $i > $o).
% 0.21/0.42 thf(func_def_229, type, sK151: $i > $i > $o).
% 0.21/0.42 thf(func_def_231, type, sK153: $i > $i).
% 0.21/0.42 thf(func_def_232, type, sK154: $i > $i).
% 0.21/0.42 thf(func_def_233, type, sK155: $i > ($i > $i > $o) > $i).
% 0.21/0.42 thf(func_def_234, type, sK156: $i > $i > ($i > $i > $o) > $i).
% 0.21/0.42 thf(func_def_235, type, sK157: $i > ($i > $i > $o) > $i).
% 0.21/0.42 thf(func_def_237, type, ph159: !>[X0: $tType]:(X0)).
% 0.21/0.42 thf(f1187,plain,(
% 0.21/0.42 $false),
% 0.21/0.42 inference(subsumption_resolution,[],[f1186,f736])).
% 0.21/0.42 thf(f736,plain,(
% 0.21/0.42 ($true = (sK127 @ sK128))),
% 0.21/0.42 inference(cnf_transformation,[],[f473])).
% 0.21/0.42 thf(f473,plain,(
% 0.21/0.42 (setadjoinE = $true) & (notinemptyset = $true) & (powersetI = $true) & (omega0Ax = $true) & (exuE2 = $true) & (setext = $true) & (setunionAx = $true) & (setadjoinIL = $true) & (setbeta = $true) & (nonemptyI = $true) & (eqinunit = $true) & (nonemptyE1 = $true) & (exuE3e = $true) & (quantDeMorgan2 = $true) & (foundationAx = $true) & (powersetE = $true) & (uniqinunit = $true) & (setadjoinAx = $true) & (emptyE1 = $true) & (dsetconstrER = $true) & (emptyInPowerset = $true) & (prop2setE = $true) & (setextAx = $true) & (nonemptyImpWitness = $true) & (nonemptyI1 = $true) & (emptysetAx = $true) & (setoftrueEq = $true) & (emptyinPowerset = $true) & (wellorderingAx = $true) & ((($true = (sK127 @ sK128)) & ($true = (in @ sK128 @ sK126))) & ! [X3] : (($true != (in @ X3 @ sK126)) | ($true != (sK127 @ X3)))) & (dsetconstrI = $true) & (quantDeMorgan1 = $true) & (notinsingleton = $true) & (replAx = $true) & (setunionI = $true) & (singletonsswitch = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (vacuousDall = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (upairsetIL = $true) & (powersetAx = $true) & (emptysetE = $true) & (descrp = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (dsetconstrEL = $true) & (setadjoinOr = $true) & (exuE1 = $true)),
% 0.21/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK126,sK127,sK128])],[f470,f472,f471])).
% 0.21/0.42 thf(f471,plain,(
% 0.21/0.42 ? [X0,X1 : $i > $o] : (? [X2] : (($true = (X1 @ X2)) & ($true = (in @ X2 @ X0))) & ! [X3] : (($true != (in @ X3 @ X0)) | ($true != (X1 @ X3)))) => (? [X2] : (($true = (sK127 @ X2)) & ($true = (in @ X2 @ sK126))) & ! [X3] : (($true != (in @ X3 @ sK126)) | ($true != (sK127 @ X3))))),
% 0.21/0.42 introduced(choice_axiom,[])).
% 0.21/0.42 thf(f472,plain,(
% 0.21/0.42 ? [X2] : (($true = (sK127 @ X2)) & ($true = (in @ X2 @ sK126))) => (($true = (sK127 @ sK128)) & ($true = (in @ sK128 @ sK126)))),
% 0.21/0.42 introduced(choice_axiom,[])).
% 0.21/0.42 thf(f470,plain,(
% 0.21/0.42 (setadjoinE = $true) & (notinemptyset = $true) & (powersetI = $true) & (omega0Ax = $true) & (exuE2 = $true) & (setext = $true) & (setunionAx = $true) & (setadjoinIL = $true) & (setbeta = $true) & (nonemptyI = $true) & (eqinunit = $true) & (nonemptyE1 = $true) & (exuE3e = $true) & (quantDeMorgan2 = $true) & (foundationAx = $true) & (powersetE = $true) & (uniqinunit = $true) & (setadjoinAx = $true) & (emptyE1 = $true) & (dsetconstrER = $true) & (emptyInPowerset = $true) & (prop2setE = $true) & (setextAx = $true) & (nonemptyImpWitness = $true) & (nonemptyI1 = $true) & (emptysetAx = $true) & (setoftrueEq = $true) & (emptyinPowerset = $true) & (wellorderingAx = $true) & ? [X0,X1 : $i > $o] : (? [X2] : (($true = (X1 @ X2)) & ($true = (in @ X2 @ X0))) & ! [X3] : (($true != (in @ X3 @ X0)) | ($true != (X1 @ X3)))) & (dsetconstrI = $true) & (quantDeMorgan1 = $true) & (notinsingleton = $true) & (replAx = $true) & (setunionI = $true) & (singletonsswitch = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (vacuousDall = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (upairsetIL = $true) & (powersetAx = $true) & (emptysetE = $true) & (descrp = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (dsetconstrEL = $true) & (setadjoinOr = $true) & (exuE1 = $true)),
% 0.21/0.42 inference(rectify,[],[f216])).
% 0.21/0.42 thf(f216,plain,(
% 0.21/0.42 (setadjoinE = $true) & (notinemptyset = $true) & (powersetI = $true) & (omega0Ax = $true) & (exuE2 = $true) & (setext = $true) & (setunionAx = $true) & (setadjoinIL = $true) & (setbeta = $true) & (nonemptyI = $true) & (eqinunit = $true) & (nonemptyE1 = $true) & (exuE3e = $true) & (quantDeMorgan2 = $true) & (foundationAx = $true) & (powersetE = $true) & (uniqinunit = $true) & (setadjoinAx = $true) & (emptyE1 = $true) & (dsetconstrER = $true) & (emptyInPowerset = $true) & (prop2setE = $true) & (setextAx = $true) & (nonemptyImpWitness = $true) & (nonemptyI1 = $true) & (emptysetAx = $true) & (setoftrueEq = $true) & (emptyinPowerset = $true) & (wellorderingAx = $true) & ? [X0,X1 : $i > $o] : (? [X3] : (($true = (X1 @ X3)) & ($true = (in @ X3 @ X0))) & ! [X2] : (($true != (in @ X2 @ X0)) | ($true != (X1 @ X2)))) & (dsetconstrI = $true) & (quantDeMorgan1 = $true) & (notinsingleton = $true) & (replAx = $true) & (setunionI = $true) & (singletonsswitch = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (vacuousDall = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (upairsetIL = $true) & (powersetAx = $true) & (emptysetE = $true) & (descrp = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (dsetconstrEL = $true) & (setadjoinOr = $true) & (exuE1 = $true)),
% 0.21/0.42 inference(flattening,[],[f215])).
% 0.21/0.42 thf(f215,plain,(
% 0.21/0.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1 : $i > $o] : (? [X3] : (($true = (X1 @ X3)) & ($true = (in @ X3 @ X0))) & ! [X2] : (($true != (in @ X2 @ X0)) | ($true != (X1 @ X2)))) & (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)),
% 0.21/0.42 inference(ennf_transformation,[],[f172])).
% 0.21/0.42 thf(f172,plain,(
% 0.21/0.42 ~((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) => ! [X0,X1 : $i > $o] : (~? [X2] : (($true = (in @ X2 @ X0)) & ($true = (X1 @ X2))) => ! [X3] : (($true = (in @ X3 @ X0)) => ($true != (X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.42 inference(flattening,[],[f165])).
% 0.21/0.42 thf(f165,plain,(
% 0.21/0.42 ~((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) => ! [X0,X1 : $i > $o] : (~? [X2] : (($true = (in @ X2 @ X0)) & ($true = (X1 @ X2))) => ! [X3] : (($true = (in @ X3 @ X0)) => ~($true = (X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.42 inference(fool_elimination,[],[f164])).
% 0.21/0.42 thf(f164,plain,(
% 0.21/0.42 ~(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 => ! [X0,X1 : $i > $o] : (~? [X2] : ((in @ X2 @ X0) & (X1 @ X2)) => ! [X3] : ((in @ X3 @ X0) => ~(X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.42 inference(rectify,[],[f59])).
% 0.21/0.42 thf(f59,negated_conjecture,(
% 0.21/0.42 ~(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 => ! [X3,X0 : $i > $o] : (~? [X1] : ((in @ X1 @ X3) & (X0 @ X1)) => ! [X1] : ((in @ X1 @ X3) => ~(X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.42 inference(negated_conjecture,[],[f58])).
% 0.21/0.42 thf(f58,conjecture,(
% 0.21/0.42 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 => ! [X3,X0 : $i > $o] : (~? [X1] : ((in @ X1 @ X3) & (X0 @ X1)) => ! [X1] : ((in @ X1 @ X3) => ~(X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quantDeMorgan3)).
% 0.21/0.42 thf(f1186,plain,(
% 0.21/0.42 ($true != (sK127 @ sK128))),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f1166])).
% 0.21/0.42 thf(f1166,plain,(
% 0.21/0.42 ($true != $true) | ($true != (sK127 @ sK128))),
% 0.21/0.42 inference(superposition,[],[f734,f735])).
% 0.21/0.42 thf(f735,plain,(
% 0.21/0.42 ($true = (in @ sK128 @ sK126))),
% 0.21/0.42 inference(cnf_transformation,[],[f473])).
% 0.21/0.42 thf(f734,plain,(
% 0.21/0.42 ( ! [X3 : $i] : (($true != (in @ X3 @ sK126)) | ($true != (sK127 @ X3))) )),
% 0.21/0.42 inference(cnf_transformation,[],[f473])).
% 0.21/0.42 % SZS output end Proof for theBenchmark
% 0.21/0.42 % (13202)------------------------------
% 0.21/0.42 % (13202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (13202)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (13202)Memory used [KB]: 6652
% 0.21/0.42 % (13202)Time elapsed: 0.046 s
% 0.21/0.42 % (13202)Instructions burned: 69 (million)
% 0.21/0.42 % (13202)------------------------------
% 0.21/0.42 % (13202)------------------------------
% 0.21/0.42 % (13196)Success in time 0.052 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------