TSTP Solution File: SEU547^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU547^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 : Mon Jun 24 15:41:11 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU547^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 12:59:09 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 Running higher-order theorem proving
% 0.12/0.34 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.36 % (1590)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)
% 0.12/0.36 % (1590)Instruction limit reached!
% 0.12/0.36 % (1590)------------------------------
% 0.12/0.36 % (1590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.36 % (1590)Termination reason: Unknown
% 0.12/0.36 % (1590)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (1590)Memory used [KB]: 1151
% 0.12/0.36 % (1590)Time elapsed: 0.002 s
% 0.12/0.36 % (1590)Instructions burned: 2 (million)
% 0.12/0.36 % (1590)------------------------------
% 0.12/0.36 % (1590)------------------------------
% 0.12/0.36 % (1586)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (1588)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)
% 0.12/0.36 % (1587)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)
% 0.12/0.37 % (1589)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (1591)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)
% 0.12/0.37 % (1592)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37 % (1589)Instruction limit reached!
% 0.12/0.37 % (1589)------------------------------
% 0.12/0.37 % (1589)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (1589)Termination reason: Unknown
% 0.12/0.37 % (1589)Termination phase: shuffling
% 0.12/0.37
% 0.12/0.37 % (1589)Memory used [KB]: 1151
% 0.12/0.37 % (1589)Time elapsed: 0.003 s
% 0.12/0.37 % (1589)Instructions burned: 2 (million)
% 0.12/0.37 % (1589)------------------------------
% 0.12/0.37 % (1589)------------------------------
% 0.12/0.37 % (1587)Instruction limit reached!
% 0.12/0.37 % (1587)------------------------------
% 0.12/0.37 % (1587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (1587)Termination reason: Unknown
% 0.12/0.37 % (1587)Termination phase: shuffling
% 0.12/0.37
% 0.12/0.37 % (1587)Memory used [KB]: 1151
% 0.12/0.37 % (1587)Time elapsed: 0.005 s
% 0.12/0.37 % (1587)Instructions burned: 4 (million)
% 0.12/0.37 % (1587)------------------------------
% 0.12/0.37 % (1587)------------------------------
% 0.12/0.37 % (1597)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)
% 0.12/0.37 % (1597)Instruction limit reached!
% 0.12/0.37 % (1597)------------------------------
% 0.12/0.37 % (1597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (1597)Termination reason: Unknown
% 0.12/0.37 % (1597)Termination phase: shuffling
% 0.12/0.37
% 0.12/0.37 % (1597)Memory used [KB]: 1151
% 0.12/0.37 % (1597)Time elapsed: 0.003 s
% 0.12/0.37 % (1597)Instructions burned: 4 (million)
% 0.12/0.37 % (1597)------------------------------
% 0.12/0.37 % (1597)------------------------------
% 0.12/0.38 % (1592)Instruction limit reached!
% 0.12/0.38 % (1592)------------------------------
% 0.12/0.38 % (1592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (1592)Termination reason: Unknown
% 0.12/0.38 % (1592)Termination phase: Preprocessing 3
% 0.12/0.38
% 0.12/0.38 % (1592)Memory used [KB]: 1663
% 0.12/0.38 % (1592)Time elapsed: 0.014 s
% 0.12/0.38 % (1592)Instructions burned: 19 (million)
% 0.12/0.38 % (1592)------------------------------
% 0.12/0.38 % (1592)------------------------------
% 0.12/0.38 % (1588)Instruction limit reached!
% 0.12/0.38 % (1588)------------------------------
% 0.12/0.38 % (1588)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (1588)Termination reason: Unknown
% 0.12/0.38 % (1588)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (1588)Memory used [KB]: 1407
% 0.12/0.38 % (1588)Time elapsed: 0.016 s
% 0.12/0.38 % (1588)Instructions burned: 27 (million)
% 0.12/0.38 % (1588)------------------------------
% 0.12/0.38 % (1588)------------------------------
% 0.12/0.38 % (1605)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)
% 0.12/0.38 % (1605)Instruction limit reached!
% 0.12/0.38 % (1605)------------------------------
% 0.12/0.38 % (1605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (1605)Termination reason: Unknown
% 0.12/0.38 % (1605)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (1605)Memory used [KB]: 1151
% 0.12/0.38 % (1605)Time elapsed: 0.003 s
% 0.12/0.38 % (1605)Instructions burned: 4 (million)
% 0.12/0.38 % (1605)------------------------------
% 0.12/0.38 % (1605)------------------------------
% 0.12/0.38 % (1600)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)
% 0.12/0.38 % (1601)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)
% 0.12/0.39 % (1613)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.39 % (1601)Instruction limit reached!
% 0.12/0.39 % (1601)------------------------------
% 0.12/0.39 % (1601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (1601)Termination reason: Unknown
% 0.12/0.39 % (1601)Termination phase: Preprocessing 3
% 0.12/0.39
% 0.12/0.39 % (1601)Memory used [KB]: 1535
% 0.12/0.39 % (1601)Time elapsed: 0.011 s
% 0.12/0.39 % (1601)Instructions burned: 15 (million)
% 0.12/0.39 % (1601)------------------------------
% 0.12/0.39 % (1601)------------------------------
% 0.12/0.39 % (1610)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)
% 0.12/0.39 % (1612)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.39 % (1613)Instruction limit reached!
% 0.12/0.39 % (1613)------------------------------
% 0.12/0.39 % (1613)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (1613)Termination reason: Unknown
% 0.12/0.39 % (1613)Termination phase: Property scanning
% 0.12/0.39
% 0.12/0.39 % (1613)Memory used [KB]: 1279
% 0.12/0.39 % (1613)Time elapsed: 0.007 s
% 0.12/0.39 % (1613)Instructions burned: 17 (million)
% 0.12/0.39 % (1613)------------------------------
% 0.12/0.39 % (1613)------------------------------
% 0.12/0.40 % (1612)Instruction limit reached!
% 0.12/0.40 % (1612)------------------------------
% 0.12/0.40 % (1612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (1612)Termination reason: Unknown
% 0.12/0.40 % (1612)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (1612)Memory used [KB]: 1279
% 0.12/0.40 % (1612)Time elapsed: 0.006 s
% 0.12/0.40 % (1612)Instructions burned: 7 (million)
% 0.12/0.40 % (1612)------------------------------
% 0.12/0.40 % (1612)------------------------------
% 0.12/0.40 % (1591)First to succeed.
% 0.12/0.40 % (1600)Instruction limit reached!
% 0.12/0.40 % (1600)------------------------------
% 0.12/0.40 % (1600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (1600)Termination reason: Unknown
% 0.12/0.40 % (1600)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (1600)Memory used [KB]: 5884
% 0.12/0.40 % (1600)Time elapsed: 0.021 s
% 0.12/0.40 % (1600)Instructions burned: 38 (million)
% 0.12/0.40 % (1600)------------------------------
% 0.12/0.40 % (1600)------------------------------
% 0.12/0.40 % (1591)Refutation found. Thanks to Tanya!
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% 0.12/0.40 thf(func_def_0, type, in: $i > $i > $o).
% 0.12/0.40 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.12/0.40 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.12/0.40 thf(func_def_8, type, powerset: $i > $i).
% 0.12/0.40 thf(func_def_10, type, setunion: $i > $i).
% 0.12/0.40 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.12/0.40 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.12/0.40 thf(func_def_26, type, prop2set: $o > $i).
% 0.12/0.40 thf(func_def_36, type, nonempty: $i > $o).
% 0.12/0.40 thf(func_def_69, type, set2prop: $i > $o).
% 0.12/0.40 thf(func_def_89, type, sP1: $i > $i > $o).
% 0.12/0.40 thf(func_def_90, type, sP2: $i > $o).
% 0.12/0.40 thf(func_def_91, type, sP3: $i > $i > $o).
% 0.12/0.40 thf(func_def_92, type, sP4: $i > $i > $o).
% 0.12/0.40 thf(func_def_95, type, sK7: $i > $o).
% 0.12/0.40 thf(func_def_98, type, sK10: $i > ($i > $o) > $i).
% 0.12/0.40 thf(func_def_101, type, sK13: $i > $o).
% 0.12/0.40 thf(func_def_103, type, sK15: ($i > $o) > $i).
% 0.12/0.40 thf(func_def_104, type, sK16: ($i > $o) > $i).
% 0.12/0.40 thf(func_def_115, type, sK27: $i > $o).
% 0.12/0.40 thf(func_def_116, type, sK28: $i > $i).
% 0.12/0.40 thf(func_def_117, type, sK29: ($i > $o) > $i).
% 0.12/0.40 thf(func_def_119, type, sK31: $i > $o).
% 0.12/0.40 thf(func_def_121, type, sK33: ($i > $o) > $i > $i).
% 0.12/0.40 thf(func_def_129, type, sK41: $i > $o).
% 0.12/0.40 thf(func_def_132, type, sK44: $i > ($i > $o) > $i).
% 0.12/0.40 thf(func_def_135, type, sK47: $i > $i > $i).
% 0.12/0.40 thf(func_def_136, type, sK48: $i > $i > $i).
% 0.12/0.40 thf(func_def_137, type, sK49: $i > $i > $o).
% 0.12/0.40 thf(func_def_139, type, sK51: $i > $i).
% 0.12/0.40 thf(func_def_140, type, sK52: $i > $i).
% 0.12/0.40 thf(func_def_141, type, sK53: $i > ($i > $i > $o) > $i).
% 0.12/0.40 thf(func_def_142, type, sK54: $i > $i > ($i > $i > $o) > $i).
% 0.12/0.40 thf(func_def_143, type, sK55: $i > ($i > $i > $o) > $i).
% 0.12/0.40 thf(func_def_144, type, sK56: ($i > $o) > $i > $i).
% 0.12/0.40 thf(func_def_146, type, sK58: $i > $o).
% 0.12/0.40 thf(func_def_151, type, sK63: ($i > $o) > $i).
% 0.12/0.40 thf(func_def_152, type, sK64: $i > $o).
% 0.12/0.40 thf(func_def_153, type, sK65: $i > $i).
% 0.12/0.40 thf(func_def_155, type, sK67: $i > $o).
% 0.12/0.40 thf(func_def_159, type, sK71: $i > $i).
% 0.12/0.40 thf(func_def_161, type, sK73: $i > $o).
% 0.12/0.40 thf(func_def_169, type, sK81: $i > $i > $i).
% 0.12/0.40 thf(func_def_170, type, sK82: $o > $i > $i > $i).
% 0.12/0.40 thf(func_def_175, type, sK87: $i > $o).
% 0.12/0.40 thf(func_def_177, type, sK89: $i > $o).
% 0.12/0.40 thf(func_def_180, type, sK92: $i > ($i > $o) > $i).
% 0.12/0.40 thf(func_def_185, type, sK97: $i > $i > $i).
% 0.12/0.40 thf(func_def_191, type, sK103: $i > $o).
% 0.12/0.40 thf(func_def_192, type, sK104: ($i > $o) > $i).
% 0.12/0.40 thf(func_def_196, type, sK108: $i > $i > $i).
% 0.12/0.40 thf(func_def_201, type, sK113: $i > $i > $i).
% 0.12/0.40 thf(func_def_204, type, sK116: $i > $o).
% 0.12/0.40 thf(func_def_205, type, sK117: $i > $i).
% 0.12/0.40 thf(func_def_208, type, sK120: $i > $o).
% 0.12/0.40 thf(func_def_210, type, sK122: $i > ($i > $o) > $i).
% 0.12/0.40 thf(func_def_214, type, sK126: $i > $i).
% 0.12/0.40 thf(func_def_217, type, sK129: $i > $i).
% 0.12/0.40 thf(func_def_219, type, sK131: $i > $o).
% 0.12/0.40 thf(func_def_221, type, sK133: ($i > $o) > $i > $i).
% 0.12/0.40 thf(func_def_222, type, sK134: $i > $o).
% 0.12/0.40 thf(func_def_224, type, sK136: $i > ($i > $o) > $i).
% 0.12/0.40 thf(func_def_226, type, sK138: $i > $i).
% 0.12/0.40 thf(func_def_229, type, sK141: $i > $o).
% 0.12/0.40 thf(func_def_231, type, sK143: $i > $i).
% 0.12/0.40 thf(func_def_233, type, sK145: $i > $o).
% 0.12/0.40 thf(func_def_240, type, sK152: $i > $i).
% 0.12/0.40 thf(func_def_252, type, sK164: $i > $i > $i).
% 0.12/0.40 thf(func_def_253, type, sK165: $i > $i > $i).
% 0.12/0.40 thf(func_def_254, type, sK166: $i > $i > $i).
% 0.12/0.40 thf(func_def_255, type, sK167: $i > $i > $i).
% 0.12/0.40 thf(func_def_256, type, sK168: $i > $i > $i > $i).
% 0.12/0.40 thf(func_def_257, type, sK169: $i > $i).
% 0.12/0.40 thf(func_def_258, type, sK170: $i > $i).
% 0.12/0.40 thf(func_def_259, type, sK171: $i > $i).
% 0.12/0.40 thf(func_def_260, type, sK172: $i > $i).
% 0.12/0.40 thf(func_def_261, type, sK173: $i > $i > $i).
% 0.12/0.40 thf(func_def_262, type, sK174: $i > $i > $i > $i).
% 0.12/0.40 thf(func_def_263, type, sK175: $i > $i > $i > $i).
% 0.12/0.40 thf(func_def_264, type, sK176: $i > $i > $i).
% 0.12/0.40 thf(func_def_265, type, sK177: $i > $i > $i).
% 0.12/0.40 thf(func_def_267, type, sK179: $i > $i).
% 0.12/0.40 thf(func_def_268, type, sK180: $i > $i).
% 0.12/0.40 thf(func_def_269, type, sK181: $i > $i).
% 0.12/0.40 thf(func_def_270, type, sK182: $i > $i > $i).
% 0.12/0.40 thf(func_def_273, type, sK185: $i > $o).
% 0.12/0.40 thf(func_def_275, type, ph187: !>[X0: $tType]:(X0)).
% 0.12/0.40 thf(f1309,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(subsumption_resolution,[],[f983,f672])).
% 0.12/0.40 thf(f672,plain,(
% 0.12/0.40 ($true = (in @ sK36 @ sK35))),
% 0.12/0.40 inference(cnf_transformation,[],[f337])).
% 0.12/0.40 thf(f337,plain,(
% 0.12/0.40 (setadjoinOr = $true) & (setadjoinIR = $true) & (subPowSU = $true) & (nonemptyI = $true) & (emptyE1 = $true) & (exuI3 = $true) & (notdallE = $true) & (replAx = $true) & (noeltsimpempty = $true) & (setunionE = $true) & (quantDeMorgan3 = $true) & (prop2setI = $true) & (omegaSAx = $true) & (emptyInPowerset = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (emptyinunitempty = $true) & (exuI2 = $true) & (singletonsswitch = $true) & (upairsetIL = $true) & (exuE3e = $true) & (notinemptyset = $true) & (omega0Ax = $true) & (notinsingleton = $true) & (setadjoinAx = $true) & (notdexE = $true) & (vacuousDall = $true) & (eqinunit = $true) & (exuI1 = $true) & (prop2set2propI = $true) & (setunionAx = $true) & (emptysetimpfalse = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (prop2setE = $true) & (exuE2 = $true) & (setadjoinE = $true) & ((sK34 = sK35) & ((sK37 = sK36) & ($true = (in @ sK36 @ sK35)) & ((in @ sK37 @ sK34) != $true))) & (descrp = $true) & (upairsetIR = $true) & (uniqinunit = $true) & (nonemptyI1 = $true) & (dsetconstrER = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan2 = $true) & (setadjoinIL = $true) & (powersetAx = $true) & (emptysetE = $true) & (setext = $true) & (upairsetE = $true) & (nonemptyImpWitness = $true) & (powersetE = $true) & (omegaIndAx = $true) & (emptyinPowerset = $true) & (quantDeMorgan4 = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (powersetI = $true) & (emptysetAx = $true) & (emptyI = $true) & (setextAx = $true) & (setoftrueEq = $true) & (dsetconstrI = $true) & (setunionI = $true)),
% 0.12/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37])],[f249,f336,f335])).
% 0.12/0.40 thf(f335,plain,(
% 0.12/0.40 ? [X0,X1] : ((X0 = X1) & ? [X2,X3] : ((X2 = X3) & ((in @ X2 @ X1) = $true) & ($true != (in @ X3 @ X0)))) => ((sK34 = sK35) & ? [X3,X2] : ((X2 = X3) & ((in @ X2 @ sK35) = $true) & ($true != (in @ X3 @ sK34))))),
% 0.12/0.40 introduced(choice_axiom,[])).
% 0.12/0.40 thf(f336,plain,(
% 0.12/0.40 ? [X3,X2] : ((X2 = X3) & ((in @ X2 @ sK35) = $true) & ($true != (in @ X3 @ sK34))) => ((sK37 = sK36) & ($true = (in @ sK36 @ sK35)) & ((in @ sK37 @ sK34) != $true))),
% 0.12/0.40 introduced(choice_axiom,[])).
% 0.12/0.40 thf(f249,plain,(
% 0.12/0.40 (setadjoinOr = $true) & (setadjoinIR = $true) & (subPowSU = $true) & (nonemptyI = $true) & (emptyE1 = $true) & (exuI3 = $true) & (notdallE = $true) & (replAx = $true) & (noeltsimpempty = $true) & (setunionE = $true) & (quantDeMorgan3 = $true) & (prop2setI = $true) & (omegaSAx = $true) & (emptyInPowerset = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (emptyinunitempty = $true) & (exuI2 = $true) & (singletonsswitch = $true) & (upairsetIL = $true) & (exuE3e = $true) & (notinemptyset = $true) & (omega0Ax = $true) & (notinsingleton = $true) & (setadjoinAx = $true) & (notdexE = $true) & (vacuousDall = $true) & (eqinunit = $true) & (exuI1 = $true) & (prop2set2propI = $true) & (setunionAx = $true) & (emptysetimpfalse = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (prop2setE = $true) & (exuE2 = $true) & (setadjoinE = $true) & ? [X0,X1] : ((X0 = X1) & ? [X2,X3] : ((X2 = X3) & ((in @ X2 @ X1) = $true) & ($true != (in @ X3 @ X0)))) & (descrp = $true) & (upairsetIR = $true) & (uniqinunit = $true) & (nonemptyI1 = $true) & (dsetconstrER = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan2 = $true) & (setadjoinIL = $true) & (powersetAx = $true) & (emptysetE = $true) & (setext = $true) & (upairsetE = $true) & (nonemptyImpWitness = $true) & (powersetE = $true) & (omegaIndAx = $true) & (emptyinPowerset = $true) & (quantDeMorgan4 = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (powersetI = $true) & (emptysetAx = $true) & (emptyI = $true) & (setextAx = $true) & (setoftrueEq = $true) & (dsetconstrI = $true) & (setunionI = $true)),
% 0.12/0.40 inference(flattening,[],[f248])).
% 0.12/0.40 thf(f248,plain,(
% 0.12/0.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2,X3] : ((($true != (in @ X3 @ X0)) & ((in @ X2 @ X1) = $true)) & (X2 = X3)) & (X0 = X1)) & (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)),
% 0.12/0.40 inference(ennf_transformation,[],[f86])).
% 0.12/0.40 thf(f86,plain,(
% 0.12/0.40 ~((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) => ! [X0,X1] : ((X0 = X1) => ! [X2,X3] : ((X2 = X3) => (((in @ X2 @ X1) = $true) => ($true = (in @ X3 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.40 inference(fool_elimination,[],[f85])).
% 0.12/0.40 thf(f85,plain,(
% 0.12/0.40 ~(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 => ! [X0,X1] : ((X0 = X1) => ! [X2,X3] : ((X2 = X3) => ((in @ X2 @ X1) => (in @ X3 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.40 inference(rectify,[],[f67])).
% 0.12/0.40 thf(f67,negated_conjecture,(
% 0.12/0.40 ~(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 => ! [X4,X3] : ((X3 = X4) => ! [X1,X2] : ((X1 = X2) => ((in @ X1 @ X3) => (in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.40 inference(negated_conjecture,[],[f66])).
% 0.12/0.40 thf(f66,conjecture,(
% 0.12/0.40 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 => ! [X4,X3] : ((X3 = X4) => ! [X1,X2] : ((X1 = X2) => ((in @ X1 @ X3) => (in @ X2 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inCongP)).
% 0.12/0.40 thf(f983,plain,(
% 0.12/0.40 ($true != (in @ sK36 @ sK35))),
% 0.12/0.40 inference(definition_unfolding,[],[f671,f673,f674])).
% 0.12/0.40 thf(f674,plain,(
% 0.12/0.40 (sK34 = sK35)),
% 0.12/0.40 inference(cnf_transformation,[],[f337])).
% 0.12/0.40 thf(f673,plain,(
% 0.12/0.40 (sK37 = sK36)),
% 0.12/0.40 inference(cnf_transformation,[],[f337])).
% 0.12/0.40 thf(f671,plain,(
% 0.12/0.40 ((in @ sK37 @ sK34) != $true)),
% 0.12/0.40 inference(cnf_transformation,[],[f337])).
% 0.12/0.40 % SZS output end Proof for theBenchmark
% 0.12/0.40 % (1591)------------------------------
% 0.12/0.40 % (1591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (1591)Termination reason: Refutation
% 0.12/0.40
% 0.12/0.40 % (1591)Memory used [KB]: 6524
% 0.12/0.40 % (1591)Time elapsed: 0.038 s
% 0.12/0.40 % (1591)Instructions burned: 56 (million)
% 0.12/0.40 % (1591)------------------------------
% 0.12/0.40 % (1591)------------------------------
% 0.12/0.40 % (1581)Success in time 0.05 s
%------------------------------------------------------------------------------