TSTP Solution File: SEU554^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU554^1 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 03:49:33 EDT 2024
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU554^1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 18:07:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % (5995)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.36 % (5998)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.36 % (5994)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)
% 0.18/0.36 % (5997)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)
% 0.18/0.36 % (5993)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)
% 0.18/0.36 % (5992)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.36 % (5996)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)
% 0.18/0.36 % (5995)Instruction limit reached!
% 0.18/0.36 % (5995)------------------------------
% 0.18/0.36 % (5995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (5995)Termination reason: Unknown
% 0.18/0.36 % (5995)Termination phase: shuffling
% 0.18/0.36
% 0.18/0.36 % (5995)Memory used [KB]: 1151
% 0.18/0.36 % (5995)Time elapsed: 0.003 s
% 0.18/0.36 % (5995)Instructions burned: 3 (million)
% 0.18/0.36 % (5995)------------------------------
% 0.18/0.36 % (5995)------------------------------
% 0.18/0.37 % (5993)Instruction limit reached!
% 0.18/0.37 % (5993)------------------------------
% 0.18/0.37 % (5993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (5993)Termination reason: Unknown
% 0.18/0.37 % (5993)Termination phase: shuffling
% 0.18/0.37
% 0.18/0.37 % (5993)Memory used [KB]: 1151
% 0.18/0.37 % (5993)Time elapsed: 0.004 s
% 0.18/0.37 % (5993)Instructions burned: 4 (million)
% 0.18/0.37 % (5993)------------------------------
% 0.18/0.37 % (5993)------------------------------
% 0.18/0.37 % (5996)Instruction limit reached!
% 0.18/0.37 % (5996)------------------------------
% 0.18/0.37 % (5996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (5996)Termination reason: Unknown
% 0.18/0.37 % (5996)Termination phase: shuffling
% 0.18/0.37
% 0.18/0.37 % (5996)Memory used [KB]: 1151
% 0.18/0.37 % (5996)Time elapsed: 0.003 s
% 0.18/0.37 % (5996)Instructions burned: 3 (million)
% 0.18/0.37 % (5996)------------------------------
% 0.18/0.37 % (5996)------------------------------
% 0.18/0.37 % (5999)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)
% 0.18/0.37 % (5999)Instruction limit reached!
% 0.18/0.37 % (5999)------------------------------
% 0.18/0.37 % (5999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (5999)Termination reason: Unknown
% 0.18/0.37 % (5999)Termination phase: shuffling
% 0.18/0.37
% 0.18/0.37 % (5999)Memory used [KB]: 1151
% 0.18/0.37 % (5999)Time elapsed: 0.004 s
% 0.18/0.37 % (5999)Instructions burned: 5 (million)
% 0.18/0.37 % (5999)------------------------------
% 0.18/0.37 % (5999)------------------------------
% 0.18/0.37 % (5998)Instruction limit reached!
% 0.18/0.37 % (5998)------------------------------
% 0.18/0.37 % (5998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (5998)Termination reason: Unknown
% 0.18/0.37 % (5998)Termination phase: Preprocessing 3
% 0.18/0.37
% 0.18/0.37 % (5998)Memory used [KB]: 1663
% 0.18/0.37 % (5998)Time elapsed: 0.011 s
% 0.18/0.37 % (5998)Instructions burned: 19 (million)
% 0.18/0.37 % (5998)------------------------------
% 0.18/0.37 % (5998)------------------------------
% 0.18/0.38 % (5994)Instruction limit reached!
% 0.18/0.38 % (5994)------------------------------
% 0.18/0.38 % (5994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (5994)Termination reason: Unknown
% 0.18/0.38 % (5994)Termination phase: Property scanning
% 0.18/0.38
% 0.18/0.38 % (5994)Memory used [KB]: 1407
% 0.18/0.38 % (5994)Time elapsed: 0.015 s
% 0.18/0.38 % (5994)Instructions burned: 27 (million)
% 0.18/0.38 % (5994)------------------------------
% 0.18/0.38 % (5994)------------------------------
% 0.18/0.38 % (6001)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)
% 0.18/0.38 % (6000)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)
% 0.18/0.38 % (5992)First to succeed.
% 0.18/0.38 % (6003)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)
% 0.18/0.38 % (5992)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Theorem for theBenchmark
% 0.18/0.38 % SZS output start Proof for theBenchmark
% 0.18/0.38 thf(func_def_0, type, in: $i > $i > $o).
% 0.18/0.38 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.18/0.38 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.18/0.38 thf(func_def_8, type, powerset: $i > $i).
% 0.18/0.38 thf(func_def_10, type, setunion: $i > $i).
% 0.18/0.38 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.18/0.38 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.18/0.38 thf(func_def_26, type, prop2set: $o > $i).
% 0.18/0.38 thf(func_def_36, type, nonempty: $i > $o).
% 0.18/0.38 thf(func_def_69, type, set2prop: $i > $o).
% 0.18/0.38 thf(func_def_102, type, sK3: $i > $i > $i).
% 0.18/0.38 thf(func_def_103, type, sK4: ($i > $o) > $i > $i).
% 0.18/0.38 thf(f473,plain,(
% 0.18/0.38 $false),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f383])).
% 0.18/0.38 thf(f383,plain,(
% 0.18/0.38 ((setunion @ sK1) != (setunion @ sK1))),
% 0.18/0.38 inference(definition_unfolding,[],[f291,f292])).
% 0.18/0.38 thf(f292,plain,(
% 0.18/0.38 (sK0 = sK1)),
% 0.18/0.38 inference(cnf_transformation,[],[f220])).
% 0.18/0.38 thf(f220,plain,(
% 0.18/0.38 (setadjoinAx = $true) & (quantDeMorgan4 = $true) & (emptyinunitempty = $true) & (quantDeMorgan2 = $true) & (exuI3 = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (notinemptyset = $true) & (omega0Ax = $true) & (emptyInPowerset = $true) & (notdallE = $true) & (setadjoinOr = $true) & (setunionE = $true) & (setextAx = $true) & (omegaIndAx = $true) & (inCongP = $true) & (eqinunit = $true) & (dsetconstrEL = $true) & (vacuousDall = $true) & (emptyI = $true) & (exuE1 = $true) & (dsetconstrI = $true) & (quantDeMorgan1 = $true) & (uniqinunit = $true) & (descrp = $true) & (nonemptyImpWitness = $true) & (setext = $true) & (prop2setE = $true) & (powersetAx = $true) & (emptyset__Cong = $true) & ((sK0 = sK1) & ((setunion @ sK0) != (setunion @ sK1))) & (upairsetE = $true) & (exuI1 = $true) & (setoftrueEq = $true) & (setadjoinE = $true) & (subPowSU = $true) & (exuI2 = $true) & (powersetE = $true) & (in__Cong = $true) & (quantDeMorgan3 = $true) & (emptysetAx = $true) & (nonemptyI = $true) & (setbeta = $true) & (exuE2 = $true) & (notinsingleton = $true) & (exuE3u = $true) & (upairsetIR = $true) & (setunionAx = $true) & (singletonsswitch = $true) & (exuE3e = $true) & (nonemptyI1 = $true) & (omegaSAx = $true) & (emptyE1 = $true) & (setunionI = $true) & (noeltsimpempty = $true) & (prop2setI = $true) & (dsetconstrER = $true) & (setadjoinIR = $true) & (nonemptyE1 = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (notdexE = $true) & (exu__Cong = $true) & (powerset__Cong = $true) & (foundationAx = $true) & (powersetI = $true) & (setadjoin__Cong = $true) & (upairsetIL = $true) & (replAx = $true) & (emptysetimpfalse = $true) & (prop2set2propI = $true)),
% 0.18/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f218,f219])).
% 0.18/0.38 thf(f219,plain,(
% 0.18/0.38 ? [X0,X1] : ((X0 = X1) & ((setunion @ X0) != (setunion @ X1))) => ((sK0 = sK1) & ((setunion @ sK0) != (setunion @ sK1)))),
% 0.18/0.38 introduced(choice_axiom,[])).
% 0.18/0.38 thf(f218,plain,(
% 0.18/0.38 (setadjoinAx = $true) & (quantDeMorgan4 = $true) & (emptyinunitempty = $true) & (quantDeMorgan2 = $true) & (exuI3 = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (notinemptyset = $true) & (omega0Ax = $true) & (emptyInPowerset = $true) & (notdallE = $true) & (setadjoinOr = $true) & (setunionE = $true) & (setextAx = $true) & (omegaIndAx = $true) & (inCongP = $true) & (eqinunit = $true) & (dsetconstrEL = $true) & (vacuousDall = $true) & (emptyI = $true) & (exuE1 = $true) & (dsetconstrI = $true) & (quantDeMorgan1 = $true) & (uniqinunit = $true) & (descrp = $true) & (nonemptyImpWitness = $true) & (setext = $true) & (prop2setE = $true) & (powersetAx = $true) & (emptyset__Cong = $true) & ? [X0,X1] : ((X0 = X1) & ((setunion @ X0) != (setunion @ X1))) & (upairsetE = $true) & (exuI1 = $true) & (setoftrueEq = $true) & (setadjoinE = $true) & (subPowSU = $true) & (exuI2 = $true) & (powersetE = $true) & (in__Cong = $true) & (quantDeMorgan3 = $true) & (emptysetAx = $true) & (nonemptyI = $true) & (setbeta = $true) & (exuE2 = $true) & (notinsingleton = $true) & (exuE3u = $true) & (upairsetIR = $true) & (setunionAx = $true) & (singletonsswitch = $true) & (exuE3e = $true) & (nonemptyI1 = $true) & (omegaSAx = $true) & (emptyE1 = $true) & (setunionI = $true) & (noeltsimpempty = $true) & (prop2setI = $true) & (dsetconstrER = $true) & (setadjoinIR = $true) & (nonemptyE1 = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (notdexE = $true) & (exu__Cong = $true) & (powerset__Cong = $true) & (foundationAx = $true) & (powersetI = $true) & (setadjoin__Cong = $true) & (upairsetIL = $true) & (replAx = $true) & (emptysetimpfalse = $true) & (prop2set2propI = $true)),
% 0.18/0.38 inference(flattening,[],[f217])).
% 0.18/0.38 thf(f217,plain,(
% 0.18/0.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : ((X0 = X1) & ((setunion @ X0) != (setunion @ X1))) & (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)),
% 0.18/0.38 inference(ennf_transformation,[],[f154])).
% 0.18/0.38 thf(f154,plain,(
% 0.18/0.38 ~((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) => ! [X0,X1] : ((X0 = X1) => ((setunion @ X0) = (setunion @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.18/0.38 inference(fool_elimination,[],[f153])).
% 0.18/0.38 thf(f153,plain,(
% 0.18/0.38 ~(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 => ! [X0,X1] : ((X0 = X1) => ((setunion @ X0) = (setunion @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.18/0.38 inference(rectify,[],[f74])).
% 0.18/0.38 thf(f74,negated_conjecture,(
% 0.18/0.38 ~(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 => ! [X4,X3] : ((X3 = X4) => ((setunion @ X3) = (setunion @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.18/0.38 inference(negated_conjecture,[],[f73])).
% 0.18/0.38 thf(f73,conjecture,(
% 0.18/0.38 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 => ! [X4,X3] : ((X3 = X4) => ((setunion @ X3) = (setunion @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunion__Cong)).
% 0.18/0.38 thf(f291,plain,(
% 0.18/0.38 ((setunion @ sK0) != (setunion @ sK1))),
% 0.18/0.38 inference(cnf_transformation,[],[f220])).
% 0.18/0.38 % SZS output end Proof for theBenchmark
% 0.18/0.38 % (5992)------------------------------
% 0.18/0.38 % (5992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (5992)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (5992)Memory used [KB]: 6012
% 0.18/0.38 % (5992)Time elapsed: 0.020 s
% 0.18/0.38 % (5992)Instructions burned: 35 (million)
% 0.18/0.38 % (5992)------------------------------
% 0.18/0.38 % (5992)------------------------------
% 0.18/0.38 % (5991)Success in time 0.047 s
% 0.18/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------