TSTP Solution File: SEU560^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU560^1 : 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 : n020.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 03:49:35 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU560^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.14 % 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 17:41:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.37 % (12209)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (12210)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)
% 0.14/0.37 % (12211)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)
% 0.14/0.37 % (12206)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (12212)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (12209)Instruction limit reached!
% 0.14/0.37 % (12209)------------------------------
% 0.14/0.37 % (12209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (12209)Termination reason: Unknown
% 0.14/0.37 % (12210)Instruction limit reached!
% 0.14/0.37 % (12210)------------------------------
% 0.14/0.37 % (12210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (12210)Termination reason: Unknown
% 0.14/0.37 % (12210)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (12210)Memory used [KB]: 1151
% 0.14/0.37 % (12210)Time elapsed: 0.003 s
% 0.14/0.37 % (12210)Instructions burned: 2 (million)
% 0.14/0.37 % (12210)------------------------------
% 0.14/0.37 % (12210)------------------------------
% 0.14/0.37 % (12209)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (12209)Memory used [KB]: 1151
% 0.14/0.37 % (12209)Time elapsed: 0.003 s
% 0.14/0.37 % (12209)Instructions burned: 2 (million)
% 0.14/0.37 % (12209)------------------------------
% 0.14/0.37 % (12209)------------------------------
% 0.14/0.37 % (12208)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)
% 0.14/0.37 % (12213)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 % (12213)Instruction limit reached!
% 0.14/0.38 % (12213)------------------------------
% 0.14/0.38 % (12213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12213)Termination reason: Unknown
% 0.14/0.38 % (12213)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (12213)Memory used [KB]: 1151
% 0.14/0.38 % (12213)Time elapsed: 0.004 s
% 0.14/0.38 % (12213)Instructions burned: 4 (million)
% 0.14/0.38 % (12213)------------------------------
% 0.14/0.38 % (12213)------------------------------
% 0.14/0.38 % (12212)Instruction limit reached!
% 0.14/0.38 % (12212)------------------------------
% 0.14/0.38 % (12212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12212)Termination reason: Unknown
% 0.14/0.38 % (12212)Termination phase: Preprocessing 3
% 0.14/0.38
% 0.14/0.38 % (12212)Memory used [KB]: 1663
% 0.14/0.38 % (12212)Time elapsed: 0.013 s
% 0.14/0.38 % (12212)Instructions burned: 19 (million)
% 0.14/0.38 % (12212)------------------------------
% 0.14/0.38 % (12212)------------------------------
% 0.14/0.38 % (12207)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 % (12207)Instruction limit reached!
% 0.14/0.39 % (12207)------------------------------
% 0.14/0.39 % (12207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12207)Termination reason: Unknown
% 0.14/0.39 % (12207)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (12207)Memory used [KB]: 1151
% 0.14/0.39 % (12207)Time elapsed: 0.004 s
% 0.14/0.39 % (12207)Instructions burned: 4 (million)
% 0.14/0.39 % (12207)------------------------------
% 0.14/0.39 % (12207)------------------------------
% 0.14/0.39 % (12214)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)
% 0.14/0.39 % (12208)Instruction limit reached!
% 0.14/0.39 % (12208)------------------------------
% 0.14/0.39 % (12208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12208)Termination reason: Unknown
% 0.14/0.39 % (12208)Termination phase: Function definition elimination
% 0.14/0.39
% 0.14/0.39 % (12208)Memory used [KB]: 1407
% 0.14/0.39 % (12208)Time elapsed: 0.016 s
% 0.14/0.39 % (12208)Instructions burned: 27 (million)
% 0.14/0.39 % (12208)------------------------------
% 0.14/0.39 % (12208)------------------------------
% 0.14/0.39 % (12215)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)
% 0.14/0.39 % (12216)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)
% 0.14/0.39 % (12216)Instruction limit reached!
% 0.14/0.39 % (12216)------------------------------
% 0.14/0.39 % (12216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12216)Termination reason: Unknown
% 0.14/0.39 % (12216)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (12216)Memory used [KB]: 1151
% 0.14/0.39 % (12216)Time elapsed: 0.004 s
% 0.14/0.39 % (12216)Instructions burned: 4 (million)
% 0.14/0.39 % (12216)------------------------------
% 0.14/0.39 % (12216)------------------------------
% 0.14/0.40 % (12215)Instruction limit reached!
% 0.14/0.40 % (12215)------------------------------
% 0.14/0.40 % (12215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (12215)Termination reason: Unknown
% 0.14/0.40 % (12215)Termination phase: Preprocessing 3
% 0.14/0.40
% 0.14/0.40 % (12215)Memory used [KB]: 1535
% 0.14/0.40 % (12215)Time elapsed: 0.011 s
% 0.14/0.40 % (12215)Instructions burned: 16 (million)
% 0.14/0.40 % (12215)------------------------------
% 0.14/0.40 % (12215)------------------------------
% 0.14/0.40 % (12217)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)
% 0.14/0.40 % (12218)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40 % (12219)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.40 % (12214)Instruction limit reached!
% 0.14/0.40 % (12214)------------------------------
% 0.14/0.40 % (12214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (12214)Termination reason: Unknown
% 0.14/0.40 % (12214)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (12214)Memory used [KB]: 1407
% 0.14/0.40 % (12214)Time elapsed: 0.017 s
% 0.14/0.40 % (12214)Instructions burned: 37 (million)
% 0.14/0.40 % (12214)------------------------------
% 0.14/0.40 % (12214)------------------------------
% 0.14/0.40 % (12218)Instruction limit reached!
% 0.14/0.40 % (12218)------------------------------
% 0.14/0.40 % (12218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (12218)Termination reason: Unknown
% 0.14/0.40 % (12218)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (12218)Memory used [KB]: 1279
% 0.14/0.40 % (12218)Time elapsed: 0.006 s
% 0.14/0.40 % (12218)Instructions burned: 8 (million)
% 0.14/0.40 % (12218)------------------------------
% 0.14/0.40 % (12218)------------------------------
% 0.14/0.41 % (12206)First to succeed.
% 0.14/0.41 % (12220)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)
% 0.14/0.41 % (12219)Instruction limit reached!
% 0.14/0.41 % (12219)------------------------------
% 0.14/0.41 % (12219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (12206)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% 0.14/0.41 thf(func_def_0, type, in: $i > $i > $o).
% 0.14/0.41 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.14/0.41 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.14/0.41 thf(func_def_8, type, powerset: $i > $i).
% 0.14/0.41 thf(func_def_10, type, setunion: $i > $i).
% 0.14/0.41 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.14/0.41 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_26, type, prop2set: $o > $i).
% 0.14/0.41 thf(func_def_36, type, nonempty: $i > $o).
% 0.14/0.41 thf(func_def_69, type, set2prop: $i > $o).
% 0.14/0.41 thf(func_def_88, type, subset: $i > $i > $o).
% 0.14/0.41 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.14/0.41 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.14/0.41 thf(func_def_112, type, sK3: $i > $i > $i).
% 0.14/0.41 thf(func_def_113, type, sK4: $i > $i > $i).
% 0.14/0.41 thf(func_def_114, type, sK5: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_115, type, sK6: $i > $i).
% 0.14/0.41 thf(func_def_116, type, sK7: $i > $i > $i > $i).
% 0.14/0.41 thf(func_def_117, type, sK8: $i > $i > $i).
% 0.14/0.41 thf(func_def_118, type, sK9: $i > $i > $i).
% 0.14/0.41 thf(func_def_119, type, sK10: $i > $i > $i).
% 0.14/0.41 thf(func_def_120, type, sK11: ($i > $o) > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_121, type, sK12: ($i > $o) > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_122, type, sK13: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_123, type, sK14: $i > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_124, type, sK15: $i > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_125, type, sK16: $i > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_126, type, sK17: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_127, type, sK18: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_128, type, sK19: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_129, type, sK20: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_130, type, sK21: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_131, type, sK22: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_132, type, sK23: $i > $i > $i).
% 0.14/0.41 thf(func_def_133, type, sK24: $i > $i > $i).
% 0.14/0.41 thf(func_def_134, type, sK25: $i > $i > $i).
% 0.14/0.41 thf(func_def_135, type, sK26: ($i > $o) > $i > ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_136, type, sK27: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_137, type, sK28: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_138, type, sK29: ($i > $o) > $i).
% 0.14/0.41 thf(func_def_139, type, sK30: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_140, type, sK31: $i > ($i > $o) > $i).
% 0.14/0.41 thf(func_def_141, type, sK32: ($i > $o) > $i).
% 0.14/0.41 thf(func_def_142, type, sK33: ($i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_143, type, sK34: $i > $i).
% 0.14/0.41 thf(func_def_144, type, sK35: $i > $i).
% 0.14/0.41 thf(func_def_145, type, sK36: $i > ($i > $i > $o) > $i).
% 0.14/0.41 thf(func_def_146, type, sK37: $i > ($i > $i > $o) > $i).
% 0.14/0.41 thf(func_def_147, type, sK38: $i > $i > ($i > $i > $o) > $i).
% 0.14/0.41 thf(func_def_148, type, sK39: $i > ($i > $i > $o) > $i > $i).
% 0.14/0.41 thf(func_def_149, type, sK40: $i > $i > ($i > $i > $o) > $i).
% 0.14/0.41 thf(func_def_150, type, sK41: $i > $i > ($i > $i > $o) > $i).
% 0.14/0.41 thf(func_def_151, type, sK42: $i > ($i > $i > $o) > $i > $i).
% 0.14/0.41 thf(f1081,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(trivial_inequality_removal,[],[f1080])).
% 0.14/0.41 thf(f1080,plain,(
% 0.14/0.41 ($false = $true)),
% 0.14/0.41 inference(beta_eta_normalization,[],[f1079])).
% 0.14/0.41 thf(f1079,plain,(
% 0.14/0.41 ($false = ((^[Y0 : $i]: ($true)) @ sK43))),
% 0.14/0.41 inference(sigma_clausification,[],[f1078])).
% 0.14/0.41 thf(f1078,plain,(
% 0.14/0.41 ((!! @ $i @ (^[Y0 : $i]: ($true))) != $true)),
% 0.14/0.41 inference(boolean_simplification,[],[f1077])).
% 0.14/0.41 thf(f1077,plain,(
% 0.14/0.41 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => (in @ Y0 @ sK1)))) != $true)),
% 0.14/0.41 inference(beta_eta_normalization,[],[f444])).
% 0.14/0.41 thf(f444,plain,(
% 0.14/0.41 ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))) @ sK1 @ sK1))),
% 0.14/0.41 inference(definition_unfolding,[],[f363,f308,f364])).
% 0.14/0.41 thf(f364,plain,(
% 0.14/0.41 (sK0 = sK1)),
% 0.14/0.41 inference(cnf_transformation,[],[f240])).
% 0.14/0.41 thf(f240,plain,(
% 0.14/0.41 (setadjoinOr = $true) & (dsetconstr__Cong = $true) & (powersetAx = $true) & (prop2setI = $true) & (setunionAx = $true) & (nonemptyI1 = $true) & (exuI2 = $true) & (powersetE = $true) & (emptyE1 = $true) & (emptysetE = $true) & (subPowSU = $true) & (setbeta = $true) & (eqinunit = $true) & (wellorderingAx = $true) & (powersetI = $true) & (exuI3 = $true) & (quantDeMorgan4 = $true) & (descrp = $true) & (omega__Cong = $true) & (setadjoin__Cong = $true) & (setadjoinIR = $true) & (replAx = $true) & (quantDeMorgan2 = $true) & (notinsingleton = $true) & (quantDeMorgan1 = $true) & (exuE2 = $true) & (emptyset__Cong = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (emptyInPowerset = $true) & (omega0Ax = $true) & ((sK0 = sK1) & ((subset @ sK0 @ sK1) != $true)) & (exuE3u = $true) & (exuEu = $true) & (prop2setE = $true) & (vacuousDall = $true) & (dsetconstrI = $true) & (uniqinunit = $true) & (emptysetimpfalse = $true) & (setoftrueEq = $true) & (subsetI1 = $true) & (exu__Cong = $true) & (setadjoinE = $true) & (setunionI = $true) & (dsetconstrEL = $true) & (emptysetAx = $true) & (nonemptyE1 = $true) & (setext = $true) & (noeltsimpempty = $true) & (singletonsswitch = $true) & (in__Cong = $true) & (upairsetE = $true) & (upairsetIL = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (inCongP = $true) & (setunionE = $true) & (notinemptyset = $true) & (exuI1 = $true) & (quantDeMorgan3 = $true) & (setunion__Cong = $true) & (nonemptyI = $true) & (upairsetIR = $true) & (descr__Cong = $true) & (omegaSAx = $true) & (notdexE = $true) & (emptyinunitempty = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (prop2set2propI = $true) & (nonemptyImpWitness = $true) & (setextAx = $true) & (powerset__Cong = $true) & (exuE1 = $true) & (setadjoinAx = $true) & (emptyI = $true) & (notdallE = $true)),
% 0.14/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f238,f239])).
% 0.14/0.41 thf(f239,plain,(
% 0.14/0.41 ? [X0,X1] : ((X0 = X1) & ((subset @ X0 @ X1) != $true)) => ((sK0 = sK1) & ((subset @ sK0 @ sK1) != $true))),
% 0.14/0.41 introduced(choice_axiom,[])).
% 0.14/0.41 thf(f238,plain,(
% 0.14/0.41 (setadjoinOr = $true) & (dsetconstr__Cong = $true) & (powersetAx = $true) & (prop2setI = $true) & (setunionAx = $true) & (nonemptyI1 = $true) & (exuI2 = $true) & (powersetE = $true) & (emptyE1 = $true) & (emptysetE = $true) & (subPowSU = $true) & (setbeta = $true) & (eqinunit = $true) & (wellorderingAx = $true) & (powersetI = $true) & (exuI3 = $true) & (quantDeMorgan4 = $true) & (descrp = $true) & (omega__Cong = $true) & (setadjoin__Cong = $true) & (setadjoinIR = $true) & (replAx = $true) & (quantDeMorgan2 = $true) & (notinsingleton = $true) & (quantDeMorgan1 = $true) & (exuE2 = $true) & (emptyset__Cong = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (emptyInPowerset = $true) & (omega0Ax = $true) & ? [X0,X1] : ((X0 = X1) & ((subset @ X0 @ X1) != $true)) & (exuE3u = $true) & (exuEu = $true) & (prop2setE = $true) & (vacuousDall = $true) & (dsetconstrI = $true) & (uniqinunit = $true) & (emptysetimpfalse = $true) & (setoftrueEq = $true) & (subsetI1 = $true) & (exu__Cong = $true) & (setadjoinE = $true) & (setunionI = $true) & (dsetconstrEL = $true) & (emptysetAx = $true) & (nonemptyE1 = $true) & (setext = $true) & (noeltsimpempty = $true) & (singletonsswitch = $true) & (in__Cong = $true) & (upairsetE = $true) & (upairsetIL = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (inCongP = $true) & (setunionE = $true) & (notinemptyset = $true) & (exuI1 = $true) & (quantDeMorgan3 = $true) & (setunion__Cong = $true) & (nonemptyI = $true) & (upairsetIR = $true) & (descr__Cong = $true) & (omegaSAx = $true) & (notdexE = $true) & (emptyinunitempty = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (prop2set2propI = $true) & (nonemptyImpWitness = $true) & (setextAx = $true) & (powerset__Cong = $true) & (exuE1 = $true) & (setadjoinAx = $true) & (emptyI = $true) & (notdallE = $true)),
% 0.14/0.41 inference(flattening,[],[f237])).
% 0.14/0.41 thf(f237,plain,(
% 0.14/0.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : ((X0 = X1) & ((subset @ X0 @ X1) != $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)),
% 0.14/0.41 inference(ennf_transformation,[],[f143])).
% 0.14/0.41 thf(f143,plain,(
% 0.14/0.41 ~((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) => ! [X0,X1] : ((X0 = X1) => ((subset @ X0 @ X1) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f142])).
% 0.14/0.41 thf(f142,plain,(
% 0.14/0.41 ~(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 => ! [X0,X1] : ((X0 = X1) => (subset @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.41 inference(rectify,[],[f81])).
% 0.14/0.41 thf(f81,negated_conjecture,(
% 0.14/0.41 ~(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 => ! [X4,X3] : ((X3 = X4) => (subset @ X4 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.41 inference(negated_conjecture,[],[f80])).
% 0.14/0.41 thf(f80,conjecture,(
% 0.14/0.41 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 => ! [X4,X3] : ((X3 = X4) => (subset @ X4 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqimpsubset2)).
% 0.14/0.41 thf(f308,plain,(
% 0.14/0.41 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))),
% 0.14/0.41 inference(cnf_transformation,[],[f151])).
% 0.14/0.41 thf(f151,plain,(
% 0.14/0.41 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))),
% 0.14/0.41 inference(fool_elimination,[],[f150])).
% 0.14/0.41 thf(f150,plain,(
% 0.14/0.41 (subset = (^[X0 : $i, X1 : $i] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)))))),
% 0.14/0.41 inference(rectify,[],[f78])).
% 0.14/0.41 thf(f78,axiom,(
% 0.14/0.41 (subset = (^[X3 : $i, X4 : $i] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)))))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset)).
% 0.14/0.41 thf(f363,plain,(
% 0.14/0.41 ((subset @ sK0 @ sK1) != $true)),
% 0.14/0.41 inference(cnf_transformation,[],[f240])).
% 0.14/0.41 % SZS output end Proof for theBenchmark
% 0.14/0.41 % (12206)------------------------------
% 0.14/0.41 % (12206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (12206)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (12206)Memory used [KB]: 6268
% 0.14/0.41 % (12206)Time elapsed: 0.037 s
% 0.14/0.41 % (12206)Instructions burned: 68 (million)
% 0.14/0.41 % (12206)------------------------------
% 0.14/0.41 % (12206)------------------------------
% 0.14/0.41 % (12205)Success in time 0.061 s
% 0.14/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------