TSTP Solution File: SEU542^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU542^1 : 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 : n016.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 03:49:28 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU542^1 : 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 : n016.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 17:30:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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 % (16812)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 % (16810)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 % (16811)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (16808)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 % (16814)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 % (16811)Instruction limit reached!
% 0.14/0.38 % (16811)------------------------------
% 0.14/0.38 % (16811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16811)Termination reason: Unknown
% 0.14/0.38 % (16809)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)
% 0.14/0.38 % (16812)Instruction limit reached!
% 0.14/0.38 % (16812)------------------------------
% 0.14/0.38 % (16812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16812)Termination reason: Unknown
% 0.14/0.38 % (16812)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (16812)Memory used [KB]: 1023
% 0.14/0.38 % (16812)Time elapsed: 0.004 s
% 0.14/0.38 % (16812)Instructions burned: 3 (million)
% 0.14/0.38 % (16812)------------------------------
% 0.14/0.38 % (16812)------------------------------
% 0.14/0.38 % (16811)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (16811)Memory used [KB]: 1023
% 0.14/0.38 % (16811)Time elapsed: 0.003 s
% 0.14/0.38 % (16811)Instructions burned: 3 (million)
% 0.14/0.38 % (16811)------------------------------
% 0.14/0.38 % (16811)------------------------------
% 0.14/0.38 % (16816)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 % (16809)Instruction limit reached!
% 0.14/0.38 % (16809)------------------------------
% 0.14/0.38 % (16809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16809)Termination reason: Unknown
% 0.14/0.38 % (16809)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (16809)Memory used [KB]: 1151
% 0.14/0.38 % (16809)Time elapsed: 0.004 s
% 0.14/0.38 % (16809)Instructions burned: 4 (million)
% 0.14/0.38 % (16809)------------------------------
% 0.14/0.38 % (16809)------------------------------
% 0.14/0.38 % (16813)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 % (16816)Instruction limit reached!
% 0.14/0.38 % (16816)------------------------------
% 0.14/0.38 % (16816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (16816)Termination reason: Unknown
% 0.14/0.38 % (16816)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (16816)Memory used [KB]: 1023
% 0.14/0.38 % (16816)Time elapsed: 0.004 s
% 0.14/0.38 % (16816)Instructions burned: 3 (million)
% 0.14/0.38 % (16816)------------------------------
% 0.14/0.38 % (16816)------------------------------
% 0.14/0.39 % (16814)Instruction limit reached!
% 0.14/0.39 % (16814)------------------------------
% 0.14/0.39 % (16814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (16814)Termination reason: Unknown
% 0.14/0.39 % (16814)Termination phase: Preprocessing 3
% 0.14/0.39
% 0.14/0.39 % (16814)Memory used [KB]: 1535
% 0.14/0.39 % (16814)Time elapsed: 0.013 s
% 0.14/0.39 % (16814)Instructions burned: 19 (million)
% 0.14/0.39 % (16814)------------------------------
% 0.14/0.39 % (16814)------------------------------
% 0.14/0.40 % (16826)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (16826)Instruction limit reached!
% 0.22/0.40 % (16826)------------------------------
% 0.22/0.40 % (16826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (16826)Termination reason: Unknown
% 0.22/0.40 % (16826)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (16826)Memory used [KB]: 1023
% 0.22/0.40 % (16826)Time elapsed: 0.005 s
% 0.22/0.40 % (16826)Instructions burned: 3 (million)
% 0.22/0.40 % (16826)------------------------------
% 0.22/0.40 % (16826)------------------------------
% 0.22/0.40 % (16810)Instruction limit reached!
% 0.22/0.40 % (16810)------------------------------
% 0.22/0.40 % (16810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (16810)Termination reason: Unknown
% 0.22/0.40 % (16810)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (16810)Memory used [KB]: 1279
% 0.22/0.40 % (16810)Time elapsed: 0.023 s
% 0.22/0.40 % (16810)Instructions burned: 28 (million)
% 0.22/0.40 % (16810)------------------------------
% 0.22/0.40 % (16810)------------------------------
% 0.22/0.41 % (16824)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.41 % (16827)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.41 % (16828)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (16825)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (16828)Instruction limit reached!
% 0.22/0.42 % (16828)------------------------------
% 0.22/0.42 % (16828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (16828)Termination reason: Unknown
% 0.22/0.42 % (16828)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (16828)Memory used [KB]: 1151
% 0.22/0.42 % (16828)Time elapsed: 0.008 s
% 0.22/0.42 % (16828)Instructions burned: 7 (million)
% 0.22/0.42 % (16828)------------------------------
% 0.22/0.42 % (16828)------------------------------
% 0.22/0.42 % (16825)Instruction limit reached!
% 0.22/0.42 % (16825)------------------------------
% 0.22/0.42 % (16825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (16825)Termination reason: Unknown
% 0.22/0.42 % (16825)Termination phase: Preprocessing 3
% 0.22/0.42
% 0.22/0.42 % (16825)Memory used [KB]: 1407
% 0.22/0.42 % (16825)Time elapsed: 0.017 s
% 0.22/0.42 % (16825)Instructions burned: 15 (million)
% 0.22/0.42 % (16825)------------------------------
% 0.22/0.42 % (16825)------------------------------
% 0.22/0.43 % (16831)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (16831)Instruction limit reached!
% 0.22/0.43 % (16831)------------------------------
% 0.22/0.43 % (16831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (16831)Termination reason: Unknown
% 0.22/0.43 % (16831)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (16831)Memory used [KB]: 1023
% 0.22/0.43 % (16831)Time elapsed: 0.006 s
% 0.22/0.43 % (16831)Instructions burned: 3 (million)
% 0.22/0.43 % (16831)------------------------------
% 0.22/0.43 % (16831)------------------------------
% 0.22/0.43 % (16824)Instruction limit reached!
% 0.22/0.43 % (16824)------------------------------
% 0.22/0.43 % (16824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (16824)Termination reason: Unknown
% 0.22/0.44 % (16824)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (16824)Memory used [KB]: 5756
% 0.22/0.44 % (16824)Time elapsed: 0.030 s
% 0.22/0.44 % (16824)Instructions burned: 37 (million)
% 0.22/0.44 % (16824)------------------------------
% 0.22/0.44 % (16824)------------------------------
% 0.22/0.44 % (16839)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (16808)First to succeed.
% 0.22/0.44 % (16830)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44 % (16839)Instruction limit reached!
% 0.22/0.44 % (16839)------------------------------
% 0.22/0.44 % (16839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (16839)Termination reason: Unknown
% 0.22/0.44 % (16839)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (16839)Memory used [KB]: 1023
% 0.22/0.44 % (16839)Time elapsed: 0.003 s
% 0.22/0.44 % (16839)Instructions burned: 3 (million)
% 0.22/0.44 % (16839)------------------------------
% 0.22/0.44 % (16839)------------------------------
% 0.22/0.44 % (16808)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% 0.22/0.44 thf(func_def_0, type, in: $i > $i > $o).
% 0.22/0.44 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.22/0.44 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.22/0.44 thf(func_def_8, type, powerset: $i > $i).
% 0.22/0.44 thf(func_def_10, type, setunion: $i > $i).
% 0.22/0.44 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_26, type, prop2set: $o > $i).
% 0.22/0.44 thf(func_def_36, type, nonempty: $i > $o).
% 0.22/0.44 thf(func_def_69, type, set2prop: $i > $o).
% 0.22/0.44 thf(func_def_87, type, sK0: $i > $o).
% 0.22/0.44 thf(func_def_91, type, sK4: $i > $i).
% 0.22/0.44 thf(func_def_92, type, sK5: $o > $i > $i > $i).
% 0.22/0.44 thf(func_def_93, type, sK6: $i > $i).
% 0.22/0.44 thf(func_def_94, type, sK7: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_95, type, sK8: $i > $i).
% 0.22/0.44 thf(func_def_96, type, sK9: ($i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_97, type, sK10: $i > $i).
% 0.22/0.44 thf(func_def_98, type, sK11: $i > $i).
% 0.22/0.44 thf(func_def_100, type, sK12: ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_101, type, sK13: ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_102, type, sK14: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_103, type, sK15: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_104, type, sK16: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_105, type, sK17: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_106, type, sK18: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.44 thf(func_def_107, type, sK19: $i > $i > $i).
% 0.22/0.44 thf(func_def_108, type, sK20: $i > $i > $i).
% 0.22/0.44 thf(func_def_109, type, sK21: ($i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_110, type, sK22: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_111, type, sK23: $i > $i > $i).
% 0.22/0.44 thf(func_def_112, type, sK24: $i > $i > $i).
% 0.22/0.44 thf(func_def_113, type, sK25: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_114, type, sK26: ($i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_115, type, sK27: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_116, type, sK28: ($i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_117, type, sK29: $i > $i > $i).
% 0.22/0.44 thf(func_def_118, type, sK30: $i > $i > $i).
% 0.22/0.44 thf(func_def_119, type, sK31: $i > $i > $i).
% 0.22/0.44 thf(func_def_120, type, sK32: ($i > $o) > $i > $i).
% 0.22/0.44 thf(func_def_121, type, sK33: $i > $i).
% 0.22/0.44 thf(func_def_122, type, sK34: $i > $i).
% 0.22/0.44 thf(func_def_123, type, sK35: $i > $i > $i > $i).
% 0.22/0.44 thf(func_def_124, type, sK36: $i > $i > $i).
% 0.22/0.44 thf(func_def_125, type, sK37: $i > $i > $i).
% 0.22/0.44 thf(func_def_126, type, sK38: $i > $i > $i).
% 0.22/0.44 thf(func_def_127, type, sK39: ($i > $o) > $i).
% 0.22/0.44 thf(func_def_128, type, sK40: $i > ($i > $o) > $i).
% 0.22/0.44 thf(func_def_129, type, sK41: $i > ($i > $o) > $i).
% 0.22/0.44 thf(f1060,plain,(
% 0.22/0.44 $false),
% 0.22/0.44 inference(subsumption_resolution,[],[f1059,f213])).
% 0.22/0.44 thf(f213,plain,(
% 0.22/0.44 ((sK0 @ sK2) = $true)),
% 0.22/0.44 inference(cnf_transformation,[],[f187])).
% 0.22/0.44 thf(f187,plain,(
% 0.22/0.44 (subPowSU = $true) & (nonemptyE1 = $true) & (nonemptyImpWitness = $true) & (setadjoinIR = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (omegaIndAx = $true) & (descrp = $true) & (prop2setI = $true) & (setbeta = $true) & (prop2setE = $true) & (eqinunit = $true) & (noeltsimpempty = $true) & (setunionE = $true) & (emptyE1 = $true) & (powersetE = $true) & (emptysetE = $true) & (vacuousDall = $true) & (setunionI = $true) & (quantDeMorgan1 = $true) & (setextAx = $true) & (setadjoinOr = $true) & (setadjoinAx = $true) & (quantDeMorgan4 = $true) & (dsetconstrEL = $true) & (notinsingleton = $true) & (setext = $true) & (nonemptyI1 = $true) & (exuE2 = $true) & (upairsetE = $true) & (setadjoinE = $true) & (upairsetIL = $true) & (omegaSAx = $true) & (exuE1 = $true) & (emptyinunitempty = $true) & (dsetconstrER = $true) & (upairsetIR = $true) & (setunionAx = $true) & (! [X2] : (($true != (sK0 @ X2)) | ($true != (in @ X2 @ sK1))) & (((sK0 @ sK2) = $true) & ((in @ sK2 @ sK1) = $true))) & (emptyinPowerset = $true) & (omega0Ax = $true) & (prop2set2propI = $true) & (quantDeMorgan2 = $true) & (uniqinunit = $true) & (replAx = $true) & (emptyI = $true) & (emptyInPowerset = $true) & (singletonsswitch = $true) & (powersetI = $true) & (emptysetAx = $true) & (powersetAx = $true) & (exuE3e = $true) & (emptysetimpfalse = $true) & (quantDeMorgan3 = $true) & (dsetconstrI = $true) & (nonemptyI = $true) & (setoftrueEq = $true) & (notinemptyset = $true) & (setadjoinIL = $true)),
% 0.22/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f184,f186,f185])).
% 0.22/0.44 thf(f185,plain,(
% 0.22/0.44 ? [X0 : $i > $o,X1] : (! [X2] : (((X0 @ X2) != $true) | ((in @ X2 @ X1) != $true)) & ? [X3] : (((X0 @ X3) = $true) & ((in @ X3 @ X1) = $true))) => (! [X2] : (($true != (sK0 @ X2)) | ($true != (in @ X2 @ sK1))) & ? [X3] : (($true = (sK0 @ X3)) & ((in @ X3 @ sK1) = $true)))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f186,plain,(
% 0.22/0.44 ? [X3] : (($true = (sK0 @ X3)) & ((in @ X3 @ sK1) = $true)) => (((sK0 @ sK2) = $true) & ((in @ sK2 @ sK1) = $true))),
% 0.22/0.44 introduced(choice_axiom,[])).
% 0.22/0.44 thf(f184,plain,(
% 0.22/0.44 (subPowSU = $true) & (nonemptyE1 = $true) & (nonemptyImpWitness = $true) & (setadjoinIR = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (omegaIndAx = $true) & (descrp = $true) & (prop2setI = $true) & (setbeta = $true) & (prop2setE = $true) & (eqinunit = $true) & (noeltsimpempty = $true) & (setunionE = $true) & (emptyE1 = $true) & (powersetE = $true) & (emptysetE = $true) & (vacuousDall = $true) & (setunionI = $true) & (quantDeMorgan1 = $true) & (setextAx = $true) & (setadjoinOr = $true) & (setadjoinAx = $true) & (quantDeMorgan4 = $true) & (dsetconstrEL = $true) & (notinsingleton = $true) & (setext = $true) & (nonemptyI1 = $true) & (exuE2 = $true) & (upairsetE = $true) & (setadjoinE = $true) & (upairsetIL = $true) & (omegaSAx = $true) & (exuE1 = $true) & (emptyinunitempty = $true) & (dsetconstrER = $true) & (upairsetIR = $true) & (setunionAx = $true) & ? [X0 : $i > $o,X1] : (! [X2] : (((X0 @ X2) != $true) | ((in @ X2 @ X1) != $true)) & ? [X3] : (((X0 @ X3) = $true) & ((in @ X3 @ X1) = $true))) & (emptyinPowerset = $true) & (omega0Ax = $true) & (prop2set2propI = $true) & (quantDeMorgan2 = $true) & (uniqinunit = $true) & (replAx = $true) & (emptyI = $true) & (emptyInPowerset = $true) & (singletonsswitch = $true) & (powersetI = $true) & (emptysetAx = $true) & (powersetAx = $true) & (exuE3e = $true) & (emptysetimpfalse = $true) & (quantDeMorgan3 = $true) & (dsetconstrI = $true) & (nonemptyI = $true) & (setoftrueEq = $true) & (notinemptyset = $true) & (setadjoinIL = $true)),
% 0.22/0.44 inference(flattening,[],[f183])).
% 0.22/0.44 thf(f183,plain,(
% 0.22/0.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i > $o,X1] : (! [X2] : (((X0 @ X2) != $true) | ((in @ X2 @ X1) != $true)) & ? [X3] : (((X0 @ X3) = $true) & ((in @ X3 @ X1) = $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)),
% 0.22/0.44 inference(ennf_transformation,[],[f182])).
% 0.22/0.44 thf(f182,plain,(
% 0.22/0.44 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ! [X0 : $i > $o,X1] : (~? [X2] : (((in @ X2 @ X1) = $true) & ((X0 @ X2) = $true)) => ! [X3] : (((in @ X3 @ X1) = $true) => ((X0 @ X3) != $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(flattening,[],[f69])).
% 0.22/0.44 thf(f69,plain,(
% 0.22/0.44 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ! [X0 : $i > $o,X1] : (~? [X2] : (((in @ X2 @ X1) = $true) & ((X0 @ X2) = $true)) => ! [X3] : (((in @ X3 @ X1) = $true) => ~((X0 @ X3) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f68])).
% 0.22/0.44 thf(f68,plain,(
% 0.22/0.44 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => ! [X0 : $i > $o,X1] : (~? [X2] : ((X0 @ X2) & (in @ X2 @ X1)) => ! [X3] : ((in @ X3 @ X1) => ~(X0 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(rectify,[],[f62])).
% 0.22/0.44 thf(f62,negated_conjecture,(
% 0.22/0.44 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => ! [X0 : $i > $o,X3] : (~? [X1] : ((X0 @ X1) & (in @ X1 @ X3)) => ! [X1] : ((in @ X1 @ X3) => ~(X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 inference(negated_conjecture,[],[f61])).
% 0.22/0.44 thf(f61,conjecture,(
% 0.22/0.44 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => ! [X0 : $i > $o,X3] : (~? [X1] : ((X0 @ X1) & (in @ X1 @ X3)) => ! [X1] : ((in @ X1 @ X3) => ~(X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notdexE)).
% 0.22/0.44 thf(f1059,plain,(
% 0.22/0.44 ((sK0 @ sK2) != $true)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f1055])).
% 0.22/0.44 thf(f1055,plain,(
% 0.22/0.44 ((sK0 @ sK2) != $true) | ($true != $true)),
% 0.22/0.44 inference(superposition,[],[f214,f212])).
% 0.22/0.44 thf(f212,plain,(
% 0.22/0.44 ((in @ sK2 @ sK1) = $true)),
% 0.22/0.44 inference(cnf_transformation,[],[f187])).
% 0.22/0.44 thf(f214,plain,(
% 0.22/0.44 ( ! [X2 : $i] : (($true != (in @ X2 @ sK1)) | ($true != (sK0 @ X2))) )),
% 0.22/0.44 inference(cnf_transformation,[],[f187])).
% 0.22/0.44 % SZS output end Proof for theBenchmark
% 0.22/0.44 % (16808)------------------------------
% 0.22/0.44 % (16808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (16808)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (16808)Memory used [KB]: 6268
% 0.22/0.44 % (16808)Time elapsed: 0.060 s
% 0.22/0.44 % (16808)Instructions burned: 80 (million)
% 0.22/0.44 % (16808)------------------------------
% 0.22/0.44 % (16808)------------------------------
% 0.22/0.44 % (16803)Success in time 0.072 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------