0.07/0.16 % Problem : Vampire---4.8_17109 : TPTP v0.0.0. Released v0.0.0. 0.15/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.39 % Computer : n012.cluster.edu 0.15/0.39 % Model : x86_64 x86_64 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.39 % Memory : 8042.1875MB 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.39 % CPULimit : 1440 0.15/0.39 % WCLimit : 180 0.15/0.39 % DateTime : Mon Jul 3 12:45:37 EDT 2023 0.15/0.39 % CPUTime : 0.15/0.40 This is a THF_ problem 0.15/0.40 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.fLg9IqM2qZ/Vampire---4.8_17109 -m 12000 -t 180 0.22/0.42 % (17220)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.22/0.42 % (17219)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.22/0.42 % (17222)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.22/0.42 % (17218)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.22/0.42 % (17223)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.22/0.42 % (17217)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.22/0.42 % (17223)Instruction limit reached! 0.22/0.42 % (17223)------------------------------ 0.22/0.42 % (17223)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.42 % (17223)Termination reason: Unknown 0.22/0.42 % (17223)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (17223)Memory used [KB]: 1151 0.22/0.42 % (17223)Time elapsed: 0.005 s 0.22/0.42 % (17223)Instructions burned: 5 (million) 0.22/0.42 % (17223)------------------------------ 0.22/0.42 % (17223)------------------------------ 0.22/0.42 % (17224)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.22/0.43 % (17221)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.22/0.44 % (17221)Instruction limit reached! 0.22/0.44 % (17221)------------------------------ 0.22/0.44 % (17221)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (17221)Termination reason: Unknown 0.22/0.44 % (17221)Termination phase: Property scanning 0.22/0.44 0.22/0.44 % (17221)Memory used [KB]: 1151 0.22/0.44 % (17221)Time elapsed: 0.010 s 0.22/0.44 % (17221)Instructions burned: 17 (million) 0.22/0.44 % (17221)------------------------------ 0.22/0.44 % (17221)------------------------------ 0.22/0.44 % (17225)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.22/0.44 % (17218)Instruction limit reached! 0.22/0.44 % (17218)------------------------------ 0.22/0.44 % (17218)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (17218)Termination reason: Unknown 0.22/0.44 % (17218)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17218)Memory used [KB]: 5756 0.22/0.44 % (17218)Time elapsed: 0.021 s 0.22/0.44 % (17218)Instructions burned: 36 (million) 0.22/0.44 % (17218)------------------------------ 0.22/0.44 % (17218)------------------------------ 0.22/0.45 % (17225)Instruction limit reached! 0.22/0.45 % (17225)------------------------------ 0.22/0.45 % (17225)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (17225)Termination reason: Unknown 0.22/0.45 % (17225)Termination phase: Property scanning 0.22/0.45 0.22/0.45 % (17225)Memory used [KB]: 1151 0.22/0.45 % (17225)Time elapsed: 0.012 s 0.22/0.45 % (17225)Instructions burned: 21 (million) 0.22/0.45 % (17225)------------------------------ 0.22/0.45 % (17225)------------------------------ 0.22/0.45 % (17219)Instruction limit reached! 0.22/0.45 % (17219)------------------------------ 0.22/0.45 % (17219)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (17219)Termination reason: Unknown 0.22/0.45 % (17219)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (17219)Memory used [KB]: 5756 0.22/0.45 % (17219)Time elapsed: 0.020 s 0.22/0.45 % (17219)Instructions burned: 34 (million) 0.22/0.45 % (17219)------------------------------ 0.22/0.45 % (17219)------------------------------ 0.22/0.45 % (17226)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.22/0.45 % (17227)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.22/0.45 % (17226)Instruction limit reached! 0.22/0.45 % (17226)------------------------------ 0.22/0.45 % (17226)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (17226)Termination reason: Unknown 0.22/0.45 % (17226)Termination phase: Property scanning 0.22/0.45 0.22/0.45 % (17226)Memory used [KB]: 1151 0.22/0.45 % (17226)Time elapsed: 0.006 s 0.22/0.45 % (17226)Instructions burned: 8 (million) 0.22/0.45 % (17226)------------------------------ 0.22/0.45 % (17226)------------------------------ 0.22/0.45 % (17222)Instruction limit reached! 0.22/0.45 % (17222)------------------------------ 0.22/0.45 % (17222)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (17222)Termination reason: Unknown 0.22/0.45 % (17222)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (17222)Memory used [KB]: 6140 0.22/0.45 % (17222)Time elapsed: 0.038 s 0.22/0.45 % (17222)Instructions burned: 75 (million) 0.22/0.45 % (17222)------------------------------ 0.22/0.45 % (17222)------------------------------ 0.22/0.46 % (17224)First to succeed. 0.22/0.46 % (17228)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.22/0.46 % (17229)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.22/0.46 % (17224)Refutation found. Thanks to Tanya! 0.22/0.46 % SZS status Theorem for Vampire---4 0.22/0.46 % SZS output start Proof for Vampire---4 0.22/0.46 thf(func_def_0, type, in: $i > $i > $o). 0.22/0.46 thf(func_def_1, type, exu: ($i > $o) > $o). 0.22/0.46 thf(func_def_6, type, setadjoin: $i > $i > $i). 0.22/0.46 thf(func_def_8, type, powerset: $i > $i). 0.22/0.46 thf(func_def_10, type, setunion: $i > $i). 0.22/0.46 thf(func_def_19, type, descr: ($i > $o) > $i). 0.22/0.46 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 0.22/0.46 thf(func_def_26, type, prop2set: $o > $i). 0.22/0.46 thf(func_def_36, type, nonempty: $i > $o). 0.22/0.46 thf(func_def_63, type, sP1: $i > $i > $o). 0.22/0.46 thf(func_def_64, type, sP2: $i > $o). 0.22/0.46 thf(func_def_65, type, sP3: $i > $i > $o). 0.22/0.46 thf(func_def_66, type, sP4: $i > $i > $o). 0.22/0.46 thf(func_def_71, type, sK9: $i > $o). 0.22/0.46 thf(func_def_83, type, sK21: $i > $i). 0.22/0.46 thf(func_def_90, type, sK28: $i > $i > $i). 0.22/0.46 thf(func_def_91, type, sK29: $i > $i > $i). 0.22/0.46 thf(func_def_93, type, sK31: $i > $o). 0.22/0.46 thf(func_def_107, type, sK45: $i > $i). 0.22/0.46 thf(func_def_109, type, sK47: $i > $i > $o). 0.22/0.46 thf(func_def_111, type, sK49: $i > $i). 0.22/0.46 thf(func_def_112, type, sK50: $i > $i). 0.22/0.46 thf(func_def_113, type, sK51: $i > ($i > $i > $o) > $i). 0.22/0.46 thf(func_def_114, type, sK52: $i > $i > ($i > $i > $o) > $i). 0.22/0.46 thf(func_def_115, type, sK53: $i > ($i > $i > $o) > $i). 0.22/0.46 thf(func_def_117, type, sK55: $i > $i > $i). 0.22/0.46 thf(func_def_121, type, sK59: $i > $i > $i). 0.22/0.46 thf(func_def_124, type, sK62: $i > $o). 0.22/0.46 thf(func_def_129, type, sK67: $i > $i > $i). 0.22/0.46 thf(func_def_130, type, sK68: $i > $i > $i). 0.22/0.46 thf(func_def_131, type, sK69: $i > $i > $i). 0.22/0.46 thf(func_def_132, type, sK70: $i > $i > $i). 0.22/0.46 thf(func_def_133, type, sK71: $i > $i > $i). 0.22/0.46 thf(func_def_134, type, sK72: $i > $i > $i > $i). 0.22/0.46 thf(func_def_135, type, sK73: $i > $i). 0.22/0.46 thf(func_def_136, type, sK74: $i > $i). 0.22/0.46 thf(func_def_137, type, sK75: $i > $i). 0.22/0.46 thf(func_def_138, type, sK76: $i > $i). 0.22/0.46 thf(func_def_139, type, sK77: $i > $i > $i). 0.22/0.46 thf(func_def_140, type, sK78: $i > $i > $i > $i). 0.22/0.46 thf(func_def_141, type, sK79: $i > $i > $i > $i). 0.22/0.46 thf(func_def_142, type, sK80: $i > $i > $i). 0.22/0.46 thf(func_def_143, type, sK81: $i > $i > $i). 0.22/0.46 thf(func_def_145, type, sK83: $i > $i). 0.22/0.46 thf(func_def_146, type, sK84: $i > $i). 0.22/0.46 thf(func_def_147, type, sK85: $i > $i). 0.22/0.46 thf(func_def_148, type, sK86: $i > $i > $i). 0.22/0.46 thf(func_def_151, type, sK89: $i > $o). 0.22/0.46 thf(func_def_154, type, sK92: $i > $i > $i). 0.22/0.46 thf(func_def_158, type, sK96: ($i > $o) > $i). 0.22/0.46 thf(func_def_159, type, sK97: $i > $o). 0.22/0.46 thf(func_def_163, type, sK101: $i > $o). 0.22/0.46 thf(func_def_166, type, sK104: $i > $i). 0.22/0.46 thf(func_def_167, type, sK105: ($i > $o) > $i). 0.22/0.46 thf(func_def_168, type, sK106: $i > $o). 0.22/0.46 thf(func_def_169, type, sK107: $i > $i). 0.22/0.46 thf(func_def_171, type, sK109: $i > $i). 0.22/0.46 thf(func_def_173, type, sK111: $i > $i). 0.22/0.46 thf(func_def_176, type, sK114: $i > $o). 0.22/0.46 thf(func_def_178, type, sK116: $i > $i). 0.22/0.46 thf(func_def_180, type, ph118: !>[X0: $tType]:(X0)). 0.22/0.46 thf(f708,plain,( 0.22/0.46 $false), 0.22/0.46 inference(subsumption_resolution,[],[f677,f444])). 0.22/0.46 thf(f444,plain,( 0.22/0.46 ((in @ sK25 @ sK23) = $true)), 0.22/0.46 inference(cnf_transformation,[],[f216])). 0.22/0.46 thf(f216,plain,( 0.22/0.46 (replAx = $true) & (foundationAx = $true) & (((in @ sK25 @ (setunion @ sK24)) != $true) & ((in @ sK25 @ sK23) = $true) & ((in @ sK23 @ sK24) = $true)) & (setadjoinIL = $true) & (emptysetimpfalse = $true) & (omega0Ax = $true) & (dsetconstrEL = $true) & (setunionAx = $true) & (noeltsimpempty = $true) & (setextAx = $true) & (powersetE = $true) & (descrp = $true) & (emptyinunitempty = $true) & (powersetI = $true) & (powersetAx = $true) & (nonemptyE1 = $true) & (setadjoinAx = $true) & (setbeta = $true) & (nonemptyI = $true) & (emptysetAx = $true) & (prop2setE = $true) & (setext = $true) & (dsetconstrI = $true) & (nonemptyI1 = $true) & (setoftrueEq = $true) & (emptysetE = $true) & (dsetconstrER = $true) & (notinemptyset = $true) & (setadjoinE = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (exuE1 = $true) & (exuE3e = $true) & (omegaSAx = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (setadjoinIR = $true) & (setadjoinOr = $true) & (emptyI = $true)), 0.22/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25])],[f159,f215])). 0.22/0.46 thf(f215,plain,( 0.22/0.46 ? [X0,X1,X2] : (((in @ X2 @ (setunion @ X1)) != $true) & ((in @ X2 @ X0) = $true) & ((in @ X0 @ X1) = $true)) => (((in @ sK25 @ (setunion @ sK24)) != $true) & ((in @ sK25 @ sK23) = $true) & ((in @ sK23 @ sK24) = $true))), 0.22/0.46 introduced(choice_axiom,[])). 0.22/0.46 thf(f159,plain,( 0.22/0.46 (replAx = $true) & (foundationAx = $true) & ? [X0,X1,X2] : (((in @ X2 @ (setunion @ X1)) != $true) & ((in @ X2 @ X0) = $true) & ((in @ X0 @ X1) = $true)) & (setadjoinIL = $true) & (emptysetimpfalse = $true) & (omega0Ax = $true) & (dsetconstrEL = $true) & (setunionAx = $true) & (noeltsimpempty = $true) & (setextAx = $true) & (powersetE = $true) & (descrp = $true) & (emptyinunitempty = $true) & (powersetI = $true) & (powersetAx = $true) & (nonemptyE1 = $true) & (setadjoinAx = $true) & (setbeta = $true) & (nonemptyI = $true) & (emptysetAx = $true) & (prop2setE = $true) & (setext = $true) & (dsetconstrI = $true) & (nonemptyI1 = $true) & (setoftrueEq = $true) & (emptysetE = $true) & (dsetconstrER = $true) & (notinemptyset = $true) & (setadjoinE = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (exuE1 = $true) & (exuE3e = $true) & (omegaSAx = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (setadjoinIR = $true) & (setadjoinOr = $true) & (emptyI = $true)), 0.22/0.46 inference(flattening,[],[f158])). 0.22/0.46 thf(f158,plain,( 0.22/0.46 (((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((((in @ X2 @ (setunion @ X1)) != $true) & ((in @ X0 @ X1) = $true)) & ((in @ X2 @ X0) = $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)), 0.22/0.46 inference(ennf_transformation,[],[f80])). 0.22/0.46 thf(f80,plain,( 0.22/0.46 ~((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) => ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) => (((in @ X0 @ X1) = $true) => ((in @ X2 @ (setunion @ X1)) = $true)))))))))))))))))))))))))))))))))))))))))), 0.22/0.46 inference(fool_elimination,[],[f79])). 0.22/0.46 thf(f79,plain,( 0.22/0.46 ~(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 => ! [X0,X1,X2] : ((in @ X2 @ X0) => ((in @ X0 @ X1) => (in @ X2 @ (setunion @ X1))))))))))))))))))))))))))))))))))))))))))), 0.22/0.46 inference(rectify,[],[f43])). 0.22/0.46 thf(f43,negated_conjecture,( 0.22/0.46 ~(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 => ! [X4,X3,X1] : ((in @ X1 @ X4) => ((in @ X4 @ X3) => (in @ X1 @ (setunion @ X3))))))))))))))))))))))))))))))))))))))))))), 0.22/0.46 inference(negated_conjecture,[],[f42])). 0.22/0.46 thf(f42,conjecture,( 0.22/0.46 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 => ! [X4,X3,X1] : ((in @ X1 @ X4) => ((in @ X4 @ X3) => (in @ X1 @ (setunion @ X3)))))))))))))))))))))))))))))))))))))))))), 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.fLg9IqM2qZ/Vampire---4.8_17109',setunionI)). 0.22/0.46 thf(f677,plain,( 0.22/0.46 ((in @ sK25 @ sK23) != $true)), 0.22/0.46 inference(trivial_inequality_removal,[],[f666])). 0.22/0.46 thf(f666,plain,( 0.22/0.46 ((in @ sK25 @ sK23) != $true) | ($true != $true)), 0.22/0.46 inference(superposition,[],[f636,f443])). 0.22/0.47 thf(f443,plain,( 0.22/0.47 ((in @ sK23 @ sK24) = $true)), 0.22/0.47 inference(cnf_transformation,[],[f216])). 0.22/0.47 thf(f636,plain,( 0.22/0.47 ( ! [X0 : $i] : (($true != (in @ X0 @ sK24)) | ((in @ sK25 @ X0) != $true)) )), 0.22/0.47 inference(subsumption_resolution,[],[f635,f438])). 0.22/0.47 thf(f438,plain,( 0.22/0.47 (setunionAx = $true)), 0.22/0.47 inference(cnf_transformation,[],[f216])). 0.22/0.47 thf(f635,plain,( 0.22/0.47 ( ! [X0 : $i] : (((in @ sK25 @ X0) != $true) | ($true != (in @ X0 @ sK24)) | (setunionAx != $true)) )), 0.22/0.47 inference(trivial_inequality_removal,[],[f632])). 0.22/0.47 thf(f632,plain,( 0.22/0.47 ( ! [X0 : $i] : (($true != (in @ X0 @ sK24)) | ((in @ sK25 @ X0) != $true) | (setunionAx != $true) | ($true != $true)) )), 0.22/0.47 inference(superposition,[],[f445,f505])). 0.22/0.47 thf(f505,plain,( 0.22/0.47 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setunion @ X1))) | ((in @ X2 @ X1) != $true) | ((in @ X0 @ X2) != $true) | (setunionAx != $true)) )), 0.22/0.47 inference(cnf_transformation,[],[f273])). 0.22/0.47 thf(f273,plain,( 0.22/0.47 (! [X0,X1] : ((($true = (in @ X0 @ (setunion @ X1))) | ! [X2] : (((in @ X2 @ X1) != $true) | ((in @ X0 @ X2) != $true))) & ((($true = (in @ (sK55 @ X1 @ X0) @ X1)) & ($true = (in @ X0 @ (sK55 @ X1 @ X0)))) | ($true != (in @ X0 @ (setunion @ X1))))) | (setunionAx != $true)) & ((setunionAx = $true) | ((! [X6] : (((in @ X6 @ sK57) != $true) | ((in @ sK56 @ X6) != $true)) | ((in @ sK56 @ (setunion @ sK57)) != $true)) & ((((in @ sK58 @ sK57) = $true) & ($true = (in @ sK56 @ sK58))) | ((in @ sK56 @ (setunion @ sK57)) = $true))))), 0.22/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57,sK58])],[f269,f272,f271,f270])). 0.22/0.47 thf(f270,plain,( 0.22/0.47 ! [X0,X1] : (? [X3] : (($true = (in @ X3 @ X1)) & ($true = (in @ X0 @ X3))) => (($true = (in @ (sK55 @ X1 @ X0) @ X1)) & ($true = (in @ X0 @ (sK55 @ X1 @ X0)))))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 thf(f271,plain,( 0.22/0.47 ? [X4,X5] : ((! [X6] : (((in @ X6 @ X5) != $true) | ((in @ X4 @ X6) != $true)) | ($true != (in @ X4 @ (setunion @ X5)))) & (? [X7] : (((in @ X7 @ X5) = $true) & ((in @ X4 @ X7) = $true)) | ($true = (in @ X4 @ (setunion @ X5))))) => ((! [X6] : (((in @ X6 @ sK57) != $true) | ((in @ sK56 @ X6) != $true)) | ((in @ sK56 @ (setunion @ sK57)) != $true)) & (? [X7] : (((in @ X7 @ sK57) = $true) & ((in @ sK56 @ X7) = $true)) | ((in @ sK56 @ (setunion @ sK57)) = $true)))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 thf(f272,plain,( 0.22/0.47 ? [X7] : (((in @ X7 @ sK57) = $true) & ((in @ sK56 @ X7) = $true)) => (((in @ sK58 @ sK57) = $true) & ($true = (in @ sK56 @ sK58)))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 thf(f269,plain,( 0.22/0.47 (! [X0,X1] : ((($true = (in @ X0 @ (setunion @ X1))) | ! [X2] : (((in @ X2 @ X1) != $true) | ((in @ X0 @ X2) != $true))) & (? [X3] : (($true = (in @ X3 @ X1)) & ($true = (in @ X0 @ X3))) | ($true != (in @ X0 @ (setunion @ X1))))) | (setunionAx != $true)) & ((setunionAx = $true) | ? [X4,X5] : ((! [X6] : (((in @ X6 @ X5) != $true) | ((in @ X4 @ X6) != $true)) | ($true != (in @ X4 @ (setunion @ X5)))) & (? [X7] : (((in @ X7 @ X5) = $true) & ((in @ X4 @ X7) = $true)) | ($true = (in @ X4 @ (setunion @ X5))))))), 0.22/0.47 inference(rectify,[],[f268])). 0.22/0.47 thf(f268,plain,( 0.22/0.47 (! [X0,X1] : ((($true = (in @ X0 @ (setunion @ X1))) | ! [X2] : (((in @ X2 @ X1) != $true) | ((in @ X0 @ X2) != $true))) & (? [X2] : (((in @ X2 @ X1) = $true) & ((in @ X0 @ X2) = $true)) | ($true != (in @ X0 @ (setunion @ X1))))) | (setunionAx != $true)) & ((setunionAx = $true) | ? [X0,X1] : ((! [X2] : (((in @ X2 @ X1) != $true) | ((in @ X0 @ X2) != $true)) | ($true != (in @ X0 @ (setunion @ X1)))) & (? [X2] : (((in @ X2 @ X1) = $true) & ((in @ X0 @ X2) = $true)) | ($true = (in @ X0 @ (setunion @ X1))))))), 0.22/0.47 inference(nnf_transformation,[],[f78])). 0.22/0.47 thf(f78,plain,( 0.22/0.47 ! [X0,X1] : (($true = (in @ X0 @ (setunion @ X1))) <=> ? [X2] : (((in @ X2 @ X1) = $true) & ((in @ X0 @ X2) = $true))) <=> (setunionAx = $true)), 0.22/0.47 inference(fool_elimination,[],[f77])). 0.22/0.47 thf(f77,plain,( 0.22/0.47 (setunionAx = ! [X0,X1] : (? [X2] : ((in @ X0 @ X2) & (in @ X2 @ X1)) <=> (in @ X0 @ (setunion @ X1))))), 0.22/0.47 inference(rectify,[],[f6])). 0.22/0.47 thf(f6,axiom,( 0.22/0.47 (setunionAx = ! [X1,X3] : (? [X4] : ((in @ X1 @ X4) & (in @ X4 @ X3)) <=> (in @ X1 @ (setunion @ X3))))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.fLg9IqM2qZ/Vampire---4.8_17109',setunionAx)). 0.22/0.47 thf(f445,plain,( 0.22/0.47 ((in @ sK25 @ (setunion @ sK24)) != $true)), 0.22/0.47 inference(cnf_transformation,[],[f216])). 0.22/0.47 % SZS output end Proof for Vampire---4 0.22/0.47 % (17224)------------------------------ 0.22/0.47 % (17224)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (17224)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (17224)Memory used [KB]: 6396 0.22/0.47 % (17224)Time elapsed: 0.041 s 0.22/0.47 % (17224)Instructions burned: 62 (million) 0.22/0.47 % (17224)------------------------------ 0.22/0.47 % (17224)------------------------------ 0.22/0.47 % (17216)Success in time 0.057 s 0.22/0.47 % Vampire---4.8 exiting 0.22/0.47 EOF