TSTP Solution File: SEU503^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU503^1 : 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 : 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 03:49:11 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU503^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.14 % 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
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 16:30:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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
% 0.13/0.37 % (5874)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)
% 0.13/0.37 % (5877)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)
% 0.13/0.37 % (5873)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (5878)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)
% 0.13/0.37 % (5877)Instruction limit reached!
% 0.13/0.37 % (5877)------------------------------
% 0.13/0.37 % (5877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (5877)Termination reason: Unknown
% 0.13/0.37 % (5877)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (5877)Memory used [KB]: 1023
% 0.13/0.37 % (5877)Time elapsed: 0.003 s
% 0.13/0.37 % (5877)Instructions burned: 2 (million)
% 0.13/0.37 % (5877)------------------------------
% 0.13/0.37 % (5877)------------------------------
% 0.13/0.37 % (5874)Instruction limit reached!
% 0.13/0.37 % (5874)------------------------------
% 0.13/0.37 % (5874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (5874)Termination reason: Unknown
% 0.13/0.37 % (5874)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (5874)Memory used [KB]: 1023
% 0.13/0.37 % (5874)Time elapsed: 0.004 s
% 0.13/0.37 % (5874)Instructions burned: 4 (million)
% 0.13/0.37 % (5874)------------------------------
% 0.13/0.37 % (5874)------------------------------
% 0.13/0.37 % (5876)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (5876)Instruction limit reached!
% 0.13/0.37 % (5876)------------------------------
% 0.13/0.37 % (5876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (5876)Termination reason: Unknown
% 0.13/0.37 % (5876)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (5876)Memory used [KB]: 1023
% 0.13/0.37 % (5876)Time elapsed: 0.003 s
% 0.13/0.37 % (5876)Instructions burned: 2 (million)
% 0.13/0.37 % (5876)------------------------------
% 0.13/0.37 % (5876)------------------------------
% 0.13/0.37 % (5875)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)
% 0.13/0.38 % (5880)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)
% 0.13/0.38 % (5879)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (5880)Instruction limit reached!
% 0.13/0.38 % (5880)------------------------------
% 0.13/0.38 % (5880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (5880)Termination reason: Unknown
% 0.13/0.38 % (5880)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (5880)Memory used [KB]: 1023
% 0.13/0.38 % (5880)Time elapsed: 0.004 s
% 0.13/0.38 % (5880)Instructions burned: 4 (million)
% 0.13/0.38 % (5880)------------------------------
% 0.13/0.38 % (5880)------------------------------
% 0.13/0.38 % (5882)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)
% 0.13/0.38 % (5881)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)
% 0.13/0.39 % (5875)Instruction limit reached!
% 0.13/0.39 % (5875)------------------------------
% 0.13/0.39 % (5875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (5875)Termination reason: Unknown
% 0.13/0.39 % (5875)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (5875)Memory used [KB]: 5756
% 0.13/0.39 % (5875)Time elapsed: 0.014 s
% 0.13/0.39 % (5875)Instructions burned: 28 (million)
% 0.13/0.39 % (5875)------------------------------
% 0.13/0.39 % (5875)------------------------------
% 0.13/0.39 % (5878)First to succeed.
% 0.13/0.39 % (5879)Instruction limit reached!
% 0.13/0.39 % (5879)------------------------------
% 0.13/0.39 % (5879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (5882)Instruction limit reached!
% 0.13/0.39 % (5882)------------------------------
% 0.13/0.39 % (5882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (5882)Termination reason: Unknown
% 0.13/0.39 % (5882)Termination phase: Function definition elimination
% 0.13/0.39
% 0.13/0.39 % (5882)Memory used [KB]: 1407
% 0.13/0.39 % (5882)Time elapsed: 0.009 s
% 0.13/0.39 % (5882)Instructions burned: 16 (million)
% 0.13/0.39 % (5882)------------------------------
% 0.13/0.39 % (5882)------------------------------
% 0.13/0.39 % (5879)Termination reason: Unknown
% 0.13/0.39 % (5879)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (5879)Memory used [KB]: 1279
% 0.13/0.39 % (5879)Time elapsed: 0.012 s
% 0.13/0.39 % (5879)Instructions burned: 19 (million)
% 0.13/0.39 % (5879)------------------------------
% 0.13/0.39 % (5879)------------------------------
% 0.13/0.39 % (5883)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)
% 0.13/0.39 % (5873)Also succeeded, but the first one will report.
% 0.13/0.39 % (5878)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% 0.13/0.39 thf(func_def_0, type, in: $i > $i > $o).
% 0.13/0.39 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.13/0.39 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.13/0.39 thf(func_def_8, type, powerset: $i > $i).
% 0.13/0.39 thf(func_def_10, type, setunion: $i > $i).
% 0.13/0.39 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.13/0.39 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.13/0.39 thf(func_def_26, type, prop2set: $o > $i).
% 0.13/0.39 thf(func_def_41, type, sP0: $i > $i > $o).
% 0.13/0.39 thf(func_def_42, type, sP1: $i > $o).
% 0.13/0.39 thf(func_def_43, type, sP2: $i > $i > $o).
% 0.13/0.39 thf(func_def_44, type, sP3: $i > $i > $o).
% 0.13/0.39 thf(func_def_46, type, sK5: $i > $i).
% 0.13/0.39 thf(func_def_49, type, sK8: $i > $i).
% 0.13/0.39 thf(func_def_52, type, sK11: $i > $o).
% 0.13/0.39 thf(func_def_56, type, sK15: $i > $o).
% 0.13/0.39 thf(func_def_61, type, sK20: $i > $i).
% 0.13/0.39 thf(func_def_63, type, sK22: $i > $o).
% 0.13/0.39 thf(func_def_64, type, sK23: $i > $i).
% 0.13/0.39 thf(func_def_65, type, sK24: ($i > $o) > $i).
% 0.13/0.39 thf(func_def_68, type, sK27: $i > $i > $i).
% 0.13/0.39 thf(func_def_69, type, sK28: $i > $i > $i).
% 0.13/0.39 thf(func_def_70, type, sK29: $i > $i > $i).
% 0.13/0.39 thf(func_def_71, type, sK30: $i > $i > $i).
% 0.13/0.39 thf(func_def_72, type, sK31: $i > $i > $i).
% 0.13/0.39 thf(func_def_73, type, sK32: $i > $i > $i > $i).
% 0.13/0.39 thf(func_def_74, type, sK33: $i > $i).
% 0.13/0.39 thf(func_def_75, type, sK34: $i > $i).
% 0.13/0.39 thf(func_def_76, type, sK35: $i > $i).
% 0.13/0.39 thf(func_def_77, type, sK36: $i > $i).
% 0.13/0.39 thf(func_def_78, type, sK37: $i > $i > $i).
% 0.13/0.39 thf(func_def_79, type, sK38: $i > $i > $i > $i).
% 0.13/0.39 thf(func_def_80, type, sK39: $i > $i > $i > $i).
% 0.13/0.39 thf(func_def_81, type, sK40: $i > $i > $i).
% 0.13/0.39 thf(func_def_82, type, sK41: $i > $i > $i).
% 0.13/0.39 thf(func_def_83, type, sK42: $i > $i).
% 0.13/0.39 thf(func_def_85, type, sK44: $i > $i).
% 0.13/0.39 thf(func_def_86, type, sK45: $i > $i).
% 0.13/0.39 thf(func_def_87, type, sK46: $i > $i > $i).
% 0.13/0.39 thf(func_def_95, type, sK54: $i > $o).
% 0.13/0.39 thf(func_def_96, type, sK55: $i > $i > $o).
% 0.13/0.39 thf(func_def_98, type, sK57: $i > $i).
% 0.13/0.39 thf(func_def_99, type, sK58: $i > $i).
% 0.13/0.39 thf(func_def_100, type, sK59: $i > ($i > $i > $o) > $i).
% 0.13/0.39 thf(func_def_101, type, sK60: $i > $i > ($i > $i > $o) > $i).
% 0.13/0.39 thf(func_def_102, type, sK61: $i > ($i > $i > $o) > $i).
% 0.13/0.39 thf(func_def_105, type, sK64: $i > $i > $i).
% 0.13/0.39 thf(func_def_110, type, ph69: !>[X0: $tType]:(X0)).
% 0.13/0.39 thf(f490,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(avatar_sat_refutation,[],[f447,f481])).
% 0.13/0.39 thf(f481,plain,(
% 0.13/0.39 ~spl68_2),
% 0.13/0.39 inference(avatar_contradiction_clause,[],[f480])).
% 0.13/0.39 thf(f480,plain,(
% 0.13/0.39 $false | ~spl68_2),
% 0.13/0.39 inference(trivial_inequality_removal,[],[f448])).
% 0.13/0.39 thf(f448,plain,(
% 0.13/0.39 ($true != $true) | ~spl68_2),
% 0.13/0.39 inference(superposition,[],[f444,f251])).
% 0.13/0.39 thf(f251,plain,(
% 0.13/0.39 ((in @ sK26 @ emptyset) = $true)),
% 0.13/0.39 inference(cnf_transformation,[],[f141])).
% 0.13/0.39 thf(f141,plain,(
% 0.13/0.39 (setextAx = $true) & (dsetconstrI = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (setunionAx = $true) & (emptysetE = $true) & (setadjoinAx = $true) & (omega0Ax = $true) & (prop2setE = $true) & (descrp = $true) & (replAx = $true) & (emptysetAx = $true) & ((in @ sK26 @ emptyset) = $true) & (dsetconstrEL = $true) & (foundationAx = $true) & (dsetconstrER = $true) & (emptysetimpfalse = $true) & (exuE1 = $true) & (powersetAx = $true) & (omegaSAx = $true)),
% 0.13/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f76,f140])).
% 0.13/0.39 thf(f140,plain,(
% 0.13/0.39 ? [X0] : ((in @ X0 @ emptyset) = $true) => ((in @ sK26 @ emptyset) = $true)),
% 0.13/0.39 introduced(choice_axiom,[])).
% 0.13/0.39 thf(f76,plain,(
% 0.13/0.39 (setextAx = $true) & (dsetconstrI = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (setunionAx = $true) & (emptysetE = $true) & (setadjoinAx = $true) & (omega0Ax = $true) & (prop2setE = $true) & (descrp = $true) & (replAx = $true) & (emptysetAx = $true) & ? [X0] : ((in @ X0 @ emptyset) = $true) & (dsetconstrEL = $true) & (foundationAx = $true) & (dsetconstrER = $true) & (emptysetimpfalse = $true) & (exuE1 = $true) & (powersetAx = $true) & (omegaSAx = $true)),
% 0.13/0.39 inference(flattening,[],[f75])).
% 0.13/0.39 thf(f75,plain,(
% 0.13/0.39 ((((((((((((((((((? [X0] : ((in @ X0 @ emptyset) = $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)),
% 0.13/0.39 inference(ennf_transformation,[],[f66])).
% 0.13/0.39 thf(f66,plain,(
% 0.13/0.39 ~((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) => ! [X0] : ((in @ X0 @ emptyset) != $true))))))))))))))))))))),
% 0.13/0.39 inference(flattening,[],[f56])).
% 0.13/0.39 thf(f56,plain,(
% 0.13/0.39 ~((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) => ! [X0] : ~((in @ X0 @ emptyset) = $true))))))))))))))))))))),
% 0.13/0.39 inference(fool_elimination,[],[f55])).
% 0.13/0.39 thf(f55,plain,(
% 0.13/0.39 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => ! [X0] : ~(in @ X0 @ emptyset))))))))))))))))))))),
% 0.13/0.39 inference(rectify,[],[f23])).
% 0.13/0.39 thf(f23,negated_conjecture,(
% 0.13/0.39 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => ! [X1] : ~(in @ X1 @ emptyset))))))))))))))))))))),
% 0.13/0.39 inference(negated_conjecture,[],[f22])).
% 0.13/0.39 thf(f22,conjecture,(
% 0.13/0.39 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => ! [X1] : ~(in @ X1 @ emptyset)))))))))))))))))))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset)).
% 0.13/0.39 thf(f444,plain,(
% 0.13/0.39 ( ! [X2 : $i] : (((in @ X2 @ emptyset) != $true)) ) | ~spl68_2),
% 0.13/0.39 inference(avatar_component_clause,[],[f443])).
% 0.13/0.39 thf(f443,plain,(
% 0.13/0.39 spl68_2 <=> ! [X2] : ((in @ X2 @ emptyset) != $true)),
% 0.13/0.39 introduced(avatar_definition,[new_symbols(naming,[spl68_2])])).
% 0.13/0.39 thf(f447,plain,(
% 0.13/0.39 spl68_2),
% 0.13/0.39 inference(avatar_split_clause,[],[f407,f443])).
% 0.13/0.39 thf(f407,plain,(
% 0.13/0.39 ( ! [X1 : $i] : (((in @ X1 @ emptyset) != $true)) )),
% 0.13/0.39 inference(trivial_inequality_removal,[],[f367])).
% 0.13/0.39 thf(f367,plain,(
% 0.13/0.39 ( ! [X1 : $i] : (((in @ X1 @ emptyset) != $true) | ($true != $true)) )),
% 0.13/0.39 inference(definition_unfolding,[],[f242,f247])).
% 0.13/0.39 thf(f247,plain,(
% 0.13/0.39 (emptysetimpfalse = $true)),
% 0.13/0.39 inference(cnf_transformation,[],[f141])).
% 0.13/0.39 thf(f242,plain,(
% 0.13/0.39 ( ! [X1 : $i] : (((in @ X1 @ emptyset) != $true) | (emptysetimpfalse != $true)) )),
% 0.13/0.39 inference(cnf_transformation,[],[f139])).
% 0.13/0.39 thf(f139,plain,(
% 0.13/0.39 ((emptysetimpfalse = $true) | ((in @ sK25 @ emptyset) = $true)) & (! [X1] : ((in @ X1 @ emptyset) != $true) | (emptysetimpfalse != $true))),
% 0.13/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f137,f138])).
% 0.13/0.39 thf(f138,plain,(
% 0.13/0.39 ? [X0] : ((in @ X0 @ emptyset) = $true) => ((in @ sK25 @ emptyset) = $true)),
% 0.13/0.39 introduced(choice_axiom,[])).
% 0.13/0.39 thf(f137,plain,(
% 0.13/0.39 ((emptysetimpfalse = $true) | ? [X0] : ((in @ X0 @ emptyset) = $true)) & (! [X1] : ((in @ X1 @ emptyset) != $true) | (emptysetimpfalse != $true))),
% 0.13/0.39 inference(rectify,[],[f136])).
% 0.13/0.39 thf(f136,plain,(
% 0.13/0.39 ((emptysetimpfalse = $true) | ? [X0] : ((in @ X0 @ emptyset) = $true)) & (! [X0] : ((in @ X0 @ emptyset) != $true) | (emptysetimpfalse != $true))),
% 0.13/0.39 inference(nnf_transformation,[],[f71])).
% 0.13/0.39 thf(f71,plain,(
% 0.13/0.39 (emptysetimpfalse = $true) <=> ! [X0] : ((in @ X0 @ emptyset) != $true)),
% 0.13/0.39 inference(flattening,[],[f70])).
% 0.13/0.39 thf(f70,plain,(
% 0.13/0.39 (emptysetimpfalse = $true) <=> ! [X0] : ~((in @ X0 @ emptyset) = $true)),
% 0.13/0.39 inference(true_and_false_elimination,[],[f65])).
% 0.13/0.39 thf(f65,plain,(
% 0.13/0.39 (emptysetimpfalse = $true) <=> ! [X0] : (((in @ X0 @ emptyset) = $true) => $false)),
% 0.13/0.39 inference(fool_elimination,[],[f64])).
% 0.13/0.39 thf(f64,plain,(
% 0.13/0.39 (emptysetimpfalse = ! [X0] : ((in @ X0 @ emptyset) => $false))),
% 0.13/0.39 inference(rectify,[],[f21])).
% 0.13/0.39 thf(f21,axiom,(
% 0.13/0.39 (emptysetimpfalse = ! [X1] : ((in @ X1 @ emptyset) => $false))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse)).
% 0.13/0.39 % SZS output end Proof for theBenchmark
% 0.13/0.39 % (5878)------------------------------
% 0.13/0.39 % (5878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (5878)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (5878)Memory used [KB]: 6012
% 0.13/0.39 % (5878)Time elapsed: 0.024 s
% 0.13/0.39 % (5878)Instructions burned: 35 (million)
% 0.13/0.39 % (5878)------------------------------
% 0.13/0.39 % (5878)------------------------------
% 0.13/0.39 % (5872)Success in time 0.026 s
% 0.13/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------