0.14/0.14 % Problem : Vampire---4.8_25359 : TPTP v0.0.0. Released v0.0.0. 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.36 % Computer : n001.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1440 0.15/0.36 % WCLimit : 180 0.15/0.36 % DateTime : Mon Jul 3 13:38:45 EDT 2023 0.15/0.36 % CPUTime : 0.15/0.37 This is a THF_ problem 0.15/0.37 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/sandbox2/tmp/tmp.yIwAsHD7pt/Vampire---4.8_25359 -m 12000 -t 180 0.15/0.39 % (25472)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) 0.15/0.39 % (25470)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) 0.15/0.39 % (25471)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.15/0.39 % (25474)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) 0.15/0.39 % (25473)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) 0.15/0.39 % (25469)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) 0.15/0.39 % (25467)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.15/0.39 % (25473)Instruction limit reached! 0.15/0.39 % (25473)------------------------------ 0.15/0.39 % (25473)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (25473)Termination reason: Unknown 0.15/0.39 % (25473)Termination phase: shuffling 0.15/0.39 0.15/0.39 % (25473)Memory used [KB]: 1151 0.15/0.39 % (25473)Time elapsed: 0.004 s 0.15/0.39 % (25473)Instructions burned: 5 (million) 0.15/0.39 % (25473)------------------------------ 0.15/0.39 % (25473)------------------------------ 0.15/0.40 % (25468)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.15/0.41 % (25469)Instruction limit reached! 0.15/0.41 % (25469)------------------------------ 0.15/0.41 % (25469)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.41 % (25469)Termination reason: Unknown 0.15/0.41 % (25469)Termination phase: Property scanning 0.15/0.41 0.15/0.41 % (25469)Memory used [KB]: 1407 0.15/0.41 % (25469)Time elapsed: 0.019 s 0.15/0.41 % (25469)Instructions burned: 34 (million) 0.15/0.41 % (25469)------------------------------ 0.15/0.41 % (25469)------------------------------ 0.15/0.41 % (25475)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) 0.15/0.41 % (25471)Instruction limit reached! 0.15/0.41 % (25471)------------------------------ 0.15/0.41 % (25471)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.41 % (25471)Termination reason: Unknown 0.15/0.41 % (25471)Termination phase: Property scanning 0.15/0.41 0.15/0.41 % (25471)Memory used [KB]: 1407 0.15/0.41 % (25471)Time elapsed: 0.012 s 0.15/0.41 % (25471)Instructions burned: 18 (million) 0.15/0.41 % (25471)------------------------------ 0.15/0.41 % (25471)------------------------------ 0.15/0.42 % (25475)Instruction limit reached! 0.15/0.42 % (25475)------------------------------ 0.15/0.42 % (25475)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.42 % (25475)Termination reason: Unknown 0.15/0.42 % (25475)Termination phase: SInE selection 0.15/0.42 0.15/0.42 % (25475)Memory used [KB]: 1407 0.15/0.42 % (25475)Time elapsed: 0.013 s 0.15/0.42 % (25475)Instructions burned: 22 (million) 0.15/0.42 % (25475)------------------------------ 0.15/0.42 % (25475)------------------------------ 0.15/0.42 % (25476)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.15/0.43 % (25472)Instruction limit reached! 0.15/0.43 % (25472)------------------------------ 0.15/0.43 % (25472)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.43 % (25472)Termination reason: Unknown 0.15/0.43 % (25472)Termination phase: Saturation 0.15/0.43 0.15/0.43 % (25472)Memory used [KB]: 6012 0.15/0.43 % (25472)Time elapsed: 0.036 s 0.15/0.43 % (25472)Instructions burned: 76 (million) 0.15/0.43 % (25472)------------------------------ 0.15/0.43 % (25472)------------------------------ 0.15/0.43 % (25476)Instruction limit reached! 0.15/0.43 % (25476)------------------------------ 0.15/0.43 % (25476)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.43 % (25476)Termination reason: Unknown 0.15/0.43 % (25476)Termination phase: shuffling 0.15/0.43 0.15/0.43 % (25476)Memory used [KB]: 1151 0.15/0.43 % (25476)Time elapsed: 0.006 s 0.15/0.43 % (25476)Instructions burned: 7 (million) 0.15/0.43 % (25476)------------------------------ 0.15/0.43 % (25476)------------------------------ 0.15/0.43 % (25468)Instruction limit reached! 0.15/0.43 % (25468)------------------------------ 0.15/0.43 % (25468)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.43 % (25468)Termination reason: Unknown 0.15/0.43 % (25468)Termination phase: Property scanning 0.15/0.43 0.15/0.43 % (25468)Memory used [KB]: 1407 0.15/0.43 % (25468)Time elapsed: 0.020 s 0.15/0.43 % (25468)Instructions burned: 37 (million) 0.15/0.43 % (25468)------------------------------ 0.15/0.43 % (25468)------------------------------ 0.22/0.43 % (25478)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) 0.22/0.44 % (25479)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) 0.22/0.44 % (25467)Instruction limit reached! 0.22/0.44 % (25467)------------------------------ 0.22/0.44 % (25467)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (25467)Termination reason: Unknown 0.22/0.44 % (25467)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (25467)Memory used [KB]: 6524 0.22/0.44 % (25467)Time elapsed: 0.050 s 0.22/0.44 % (25467)Instructions burned: 97 (million) 0.22/0.44 % (25467)------------------------------ 0.22/0.44 % (25467)------------------------------ 0.22/0.44 % (25480)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.22/0.44 % (25481)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.22/0.44 % (25479)Instruction limit reached! 0.22/0.44 % (25479)------------------------------ 0.22/0.44 % (25479)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (25479)Termination reason: Unknown 0.22/0.44 % (25479)Termination phase: shuffling 0.22/0.44 0.22/0.45 % (25479)Memory used [KB]: 1279 0.22/0.45 % (25479)Time elapsed: 0.007 s 0.22/0.45 % (25479)Instructions burned: 10 (million) 0.22/0.45 % (25479)------------------------------ 0.22/0.45 % (25479)------------------------------ 0.22/0.45 % (25470)First to succeed. 0.22/0.45 % (25470)Refutation found. Thanks to Tanya! 0.22/0.45 % SZS status Theorem for Vampire---4 0.22/0.45 % SZS output start Proof for Vampire---4 0.22/0.45 thf(func_def_0, type, in: $i > $i > $o). 0.22/0.45 thf(func_def_1, type, exu: ($i > $o) > $o). 0.22/0.45 thf(func_def_6, type, setadjoin: $i > $i > $i). 0.22/0.45 thf(func_def_8, type, powerset: $i > $i). 0.22/0.45 thf(func_def_10, type, setunion: $i > $i). 0.22/0.45 thf(func_def_19, type, descr: ($i > $o) > $i). 0.22/0.45 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_26, type, prop2set: $o > $i). 0.22/0.45 thf(func_def_36, type, nonempty: $i > $o). 0.22/0.45 thf(func_def_69, type, set2prop: $i > $o). 0.22/0.45 thf(func_def_88, type, subset: $i > $i > $o). 0.22/0.45 thf(func_def_89, type, disjoint: $i > $i > $o). 0.22/0.45 thf(func_def_90, type, setsmeet: $i > $i > $o). 0.22/0.45 thf(func_def_113, type, sK2: $i > $i). 0.22/0.45 thf(func_def_114, type, sK3: $i > $i > $i). 0.22/0.45 thf(func_def_115, type, sK4: $i > $i). 0.22/0.45 thf(func_def_116, type, sK5: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_117, type, sK6: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_118, type, sK7: ($i > $o) > $i). 0.22/0.45 thf(func_def_119, type, sK8: ($i > $o) > $i). 0.22/0.45 thf(func_def_120, type, sK9: ($i > $o) > $i). 0.22/0.45 thf(func_def_121, type, sK10: ($i > $o) > $i). 0.22/0.45 thf(func_def_122, type, sK11: ($i > $o) > $i). 0.22/0.45 thf(func_def_123, type, sK12: $i > $i). 0.22/0.45 thf(func_def_124, type, sK13: ($i > $o) > $i). 0.22/0.45 thf(func_def_125, type, sK14: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_126, type, sK15: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_127, type, sK16: $o > $i > $i > $i). 0.22/0.45 thf(func_def_128, type, sK17: $i > $i > $i). 0.22/0.45 thf(func_def_129, type, sK18: ($i > $o) > ($i > $o) > $i). 0.22/0.45 thf(func_def_130, type, sK19: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_131, type, sK20: ($i > $o) > ($i > $o) > $i). 0.22/0.45 thf(func_def_132, type, sK21: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_133, type, sK22: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_134, type, sK23: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_135, type, sK24: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_136, type, sK25: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_137, type, sK26: $i > ($i > $o) > $i). 0.22/0.45 thf(func_def_138, type, sK27: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_139, type, sK28: ($i > $o) > $i). 0.22/0.45 thf(func_def_140, type, sK29: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_141, type, sK30: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_142, type, sK31: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_143, type, sK32: $i > $i > $i). 0.22/0.45 thf(func_def_145, type, sK33: ($i > $i > $o) > $i > $i). 0.22/0.45 thf(func_def_146, type, sK34: ($i > $i > $o) > $i > $i). 0.22/0.45 thf(func_def_147, type, sK35: $i > ($i > $i > $o) > $i > $i). 0.22/0.45 thf(func_def_148, type, sK36: $i > ($i > $i > $o) > $i > $i). 0.22/0.45 thf(func_def_149, type, sK37: $i > ($i > $i > $o) > $i > $i). 0.22/0.45 thf(func_def_150, type, sK38: ($i > $i > $o) > $i > $i > $i). 0.22/0.45 thf(func_def_151, type, sK39: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_152, type, sK40: ($i > $o) > $i > ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_153, type, sK41: $i > $i > ($i > $o) > ($i > $o) > $i). 0.22/0.45 thf(func_def_154, type, sK42: $i > $i). 0.22/0.45 thf(func_def_155, type, sK43: $i > $i > $i). 0.22/0.45 thf(func_def_156, type, sK44: $i > $i > $i). 0.22/0.45 thf(func_def_157, type, sK45: $i > $i > $i). 0.22/0.45 thf(func_def_158, type, sK46: $i > $i > $i > $i). 0.22/0.45 thf(func_def_159, type, sK47: ($i > $o) > $i). 0.22/0.45 thf(func_def_160, type, sK48: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_161, type, sK49: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_162, type, sK50: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_163, type, sK51: ($i > $o) > $i). 0.22/0.45 thf(func_def_164, type, sK52: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_166, type, sK54: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_167, type, sK55: $i > $i). 0.22/0.45 thf(func_def_168, type, sK56: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_169, type, sK57: ($i > $o) > ($i > $o) > $i). 0.22/0.45 thf(func_def_170, type, sK58: ($i > $o) > ($i > $o) > $i). 0.22/0.45 thf(func_def_171, type, sK59: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_172, type, sK60: ($i > $o) > $i). 0.22/0.45 thf(func_def_173, type, sK61: ($i > $o) > $i). 0.22/0.45 thf(func_def_174, type, sK62: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_175, type, sK63: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_176, type, sK64: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_177, type, sK65: ($i > $o) > $i). 0.22/0.45 thf(func_def_178, type, sK66: ($i > $o) > $i). 0.22/0.45 thf(func_def_179, type, sK67: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_180, type, sK68: ($i > $o) > $i). 0.22/0.45 thf(func_def_181, type, sK69: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_182, type, sK70: $i > $i). 0.22/0.45 thf(func_def_183, type, sK71: $i > $i > $i). 0.22/0.45 thf(func_def_184, type, sK72: $i > $i > $i). 0.22/0.45 thf(func_def_185, type, sK73: $i > $i > $i). 0.22/0.45 thf(func_def_186, type, sK74: ($i > $o) > $i). 0.22/0.45 thf(func_def_187, type, sK75: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_188, type, sK76: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_189, type, sK77: ($i > $o) > $i > $i). 0.22/0.45 thf(func_def_190, type, sK78: $i > $i). 0.22/0.45 thf(f1646,plain,( 0.22/0.45 $false), 0.22/0.45 inference(trivial_inequality_removal,[],[f1645])). 0.22/0.45 thf(f1645,plain,( 0.22/0.45 ($false = $true)), 0.22/0.45 inference(forward_demodulation,[],[f1336,f1644])). 0.22/0.45 thf(f1644,plain,( 0.22/0.45 ( ! [X1 : $i] : (((in @ X1 @ emptyset) = $false)) )), 0.22/0.45 inference(not_proxy_clausification,[],[f1643])). 0.22/0.45 thf(f1643,plain,( 0.22/0.45 ( ! [X1 : $i] : (($true = (~ (in @ X1 @ emptyset)))) )), 0.22/0.45 inference(beta_eta_normalization,[],[f1642])). 0.22/0.45 thf(f1642,plain,( 0.22/0.45 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (in @ Y0 @ emptyset))) @ X1))) )), 0.22/0.45 inference(pi_clausification,[],[f447])). 0.22/0.45 thf(f447,plain,( 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))) = $true)), 0.22/0.45 inference(definition_unfolding,[],[f363,f315])). 0.22/0.45 thf(f315,plain,( 0.22/0.45 (notinemptyset = $true)), 0.22/0.45 inference(cnf_transformation,[],[f249])). 0.22/0.45 thf(f249,plain,( 0.22/0.45 (emptyI = $true) & (setadjoinIL = $true) & (setunionAx = $true) & (powersetAx = $true) & (omegaIndAx = $true) & (prop2setE = $true) & (prop2set2propI = $true) & (eqimpsubset2 = $true) & (eqinunit = $true) & (setunionI = $true) & (exuE2 = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (foundationAx = $true) & (replAx = $true) & (omega0Ax = $true) & (vacuousDall = $true) & (setadjoinOr = $true) & (powersetI = $true) & (notinemptyset = $true) & (setextAx = $true) & (exuI2 = $true) & (exuE1 = $true) & (descr__Cong = $true) & (setunion__Cong = $true) & (dsetconstr__Cong = $true) & (wellorderingAx = $true) & (upairsetIR = $true) & ((subset @ emptyset @ sK0) != $true) & (nonemptyImpWitness = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (powerset__Cong = $true) & (exuEu = $true) & (exu__Cong = $true) & (exuI3 = $true) & (setadjoin__Cong = $true) & (dsetconstrER = $true) & (dsetconstrI = $true) & (quantDeMorgan3 = $true) & (dsetconstrEL = $true) & (prop2setI = $true) & (emptyE1 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (emptyinunitempty = $true) & (subsetI1 = $true) & (emptysetE = $true) & (powersetE = $true) & (emptyset__Cong = $true) & (omega__Cong = $true) & (emptysetAx = $true) & (notinsingleton = $true) & (setadjoinIR = $true) & (setoftrueEq = $true) & (uniqinunit = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (omegaSAx = $true) & (setunionE = $true) & (exuE3u = $true) & (emptyInPowerset = $true) & (exuE3e = $true) & (quantDeMorgan1 = $true) & (setadjoinE = $true) & (setext = $true) & (setadjoinAx = $true) & (eqimpsubset1 = $true) & (exuI1 = $true) & (nonemptyI1 = $true) & (in__Cong = $true) & (notdallE = $true) & (inCongP = $true) & (quantDeMorgan2 = $true) & (nonemptyE1 = $true) & (notdexE = $true) & (emptyinPowerset = $true) & (setbeta = $true) & (subsetI2 = $true)), 0.22/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f247,f248])). 0.22/0.45 thf(f248,plain,( 0.22/0.45 ? [X0] : ((subset @ emptyset @ X0) != $true) => ((subset @ emptyset @ sK0) != $true)), 0.22/0.45 introduced(choice_axiom,[])). 0.22/0.45 thf(f247,plain,( 0.22/0.45 (emptyI = $true) & (setadjoinIL = $true) & (setunionAx = $true) & (powersetAx = $true) & (omegaIndAx = $true) & (prop2setE = $true) & (prop2set2propI = $true) & (eqimpsubset2 = $true) & (eqinunit = $true) & (setunionI = $true) & (exuE2 = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (foundationAx = $true) & (replAx = $true) & (omega0Ax = $true) & (vacuousDall = $true) & (setadjoinOr = $true) & (powersetI = $true) & (notinemptyset = $true) & (setextAx = $true) & (exuI2 = $true) & (exuE1 = $true) & (descr__Cong = $true) & (setunion__Cong = $true) & (dsetconstr__Cong = $true) & (wellorderingAx = $true) & (upairsetIR = $true) & ? [X0] : ((subset @ emptyset @ X0) != $true) & (nonemptyImpWitness = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (powerset__Cong = $true) & (exuEu = $true) & (exu__Cong = $true) & (exuI3 = $true) & (setadjoin__Cong = $true) & (dsetconstrER = $true) & (dsetconstrI = $true) & (quantDeMorgan3 = $true) & (dsetconstrEL = $true) & (prop2setI = $true) & (emptyE1 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (emptyinunitempty = $true) & (subsetI1 = $true) & (emptysetE = $true) & (powersetE = $true) & (emptyset__Cong = $true) & (omega__Cong = $true) & (emptysetAx = $true) & (notinsingleton = $true) & (setadjoinIR = $true) & (setoftrueEq = $true) & (uniqinunit = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (omegaSAx = $true) & (setunionE = $true) & (exuE3u = $true) & (emptyInPowerset = $true) & (exuE3e = $true) & (quantDeMorgan1 = $true) & (setadjoinE = $true) & (setext = $true) & (setadjoinAx = $true) & (eqimpsubset1 = $true) & (exuI1 = $true) & (nonemptyI1 = $true) & (in__Cong = $true) & (notdallE = $true) & (inCongP = $true) & (quantDeMorgan2 = $true) & (nonemptyE1 = $true) & (notdexE = $true) & (emptyinPowerset = $true) & (setbeta = $true) & (subsetI2 = $true)), 0.22/0.45 inference(flattening,[],[f246])). 0.22/0.45 thf(f246,plain,( 0.22/0.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : ((subset @ emptyset @ X0) != $true) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $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)), 0.22/0.45 inference(ennf_transformation,[],[f136])). 0.22/0.45 thf(f136,plain,( 0.22/0.45 ~((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) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ! [X0] : ((subset @ emptyset @ X0) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.45 inference(fool_elimination,[],[f135])). 0.22/0.45 thf(f135,plain,( 0.22/0.45 ~(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 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => ! [X0] : (subset @ emptyset @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.45 inference(rectify,[],[f84])). 0.22/0.45 thf(f84,negated_conjecture,( 0.22/0.45 ~(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 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => ! [X3] : (subset @ emptyset @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.45 inference(negated_conjecture,[],[f83])). 0.22/0.45 thf(f83,conjecture,( 0.22/0.45 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 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => ! [X3] : (subset @ emptyset @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.22/0.45 file('/export/starexec/sandbox2/tmp/tmp.yIwAsHD7pt/Vampire---4.8_25359',emptysetsubset)). 0.22/0.45 thf(f363,plain,( 0.22/0.45 (notinemptyset = (!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))))), 0.22/0.45 inference(cnf_transformation,[],[f186])). 0.22/0.45 thf(f186,plain,( 0.22/0.45 (notinemptyset = (!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))))), 0.22/0.45 inference(fool_elimination,[],[f185])). 0.22/0.45 thf(f185,plain,( 0.22/0.45 (! [X0] : ~(in @ X0 @ emptyset) = notinemptyset)), 0.22/0.45 inference(rectify,[],[f21])). 0.22/0.45 thf(f21,axiom,( 0.22/0.45 (! [X1] : ~(in @ X1 @ emptyset) = notinemptyset)), 0.22/0.45 file('/export/starexec/sandbox2/tmp/tmp.yIwAsHD7pt/Vampire---4.8_25359',notinemptyset)). 0.22/0.45 thf(f1336,plain,( 0.22/0.45 ((in @ sK53 @ emptyset) = $true)), 0.22/0.45 inference(binary_proxy_clausification,[],[f1334])). 0.22/0.45 thf(f1334,plain,( 0.22/0.45 (((in @ sK53 @ emptyset) => (in @ sK53 @ sK0)) = $false)), 0.22/0.45 inference(beta_eta_normalization,[],[f1333])). 0.22/0.45 thf(f1333,plain,( 0.22/0.45 (((^[Y0 : $i]: ((in @ Y0 @ emptyset) => (in @ Y0 @ sK0))) @ sK53) = $false)), 0.22/0.45 inference(sigma_clausification,[],[f1332])). 0.22/0.45 thf(f1332,plain,( 0.22/0.45 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => (in @ Y0 @ sK0)))) != $true)), 0.22/0.45 inference(beta_eta_normalization,[],[f416])). 0.22/0.45 thf(f416,plain,( 0.22/0.45 (((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))) @ emptyset @ sK0) != $true)), 0.22/0.45 inference(definition_unfolding,[],[f306,f370])). 0.22/0.45 thf(f370,plain,( 0.22/0.45 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))), 0.22/0.45 inference(cnf_transformation,[],[f154])). 0.22/0.45 thf(f154,plain,( 0.22/0.45 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))), 0.22/0.45 inference(fool_elimination,[],[f153])). 0.22/0.45 thf(f153,plain,( 0.22/0.45 (subset = (^[X0 : $i, X1 : $i] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)))))), 0.22/0.45 inference(rectify,[],[f78])). 0.22/0.45 thf(f78,axiom,( 0.22/0.45 (subset = (^[X3 : $i, X4 : $i] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)))))), 0.22/0.45 file('/export/starexec/sandbox2/tmp/tmp.yIwAsHD7pt/Vampire---4.8_25359',subset)). 0.22/0.45 thf(f306,plain,( 0.22/0.45 ((subset @ emptyset @ sK0) != $true)), 0.22/0.45 inference(cnf_transformation,[],[f249])). 0.22/0.45 % SZS output end Proof for Vampire---4 0.22/0.45 % (25470)------------------------------ 0.22/0.45 % (25470)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (25470)Termination reason: Refutation 0.22/0.45 0.22/0.45 % (25470)Memory used [KB]: 6652 0.22/0.45 % (25470)Time elapsed: 0.063 s 0.22/0.45 % (25470)Instructions burned: 115 (million) 0.22/0.45 % (25470)------------------------------ 0.22/0.45 % (25470)------------------------------ 0.22/0.45 % (25466)Success in time 0.077 s 0.22/0.45 % Vampire---4.8 exiting 0.22/0.46 EOF