0.12/0.14 % Problem : Vampire---4.8_12030 : TPTP v0.0.0. Released v0.0.0. 0.12/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.37 % Computer : n023.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1440 0.15/0.37 % WCLimit : 180 0.15/0.37 % DateTime : Mon Jul 3 13:20:51 EDT 2023 0.15/0.37 % 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/sandbox/tmp/tmp.lecKHu6XcG/Vampire---4.8_12030 -m 12000 -t 180 0.15/0.40 % (12141)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) 0.15/0.40 % (12142)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.15/0.40 % (12143)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) 0.15/0.40 % (12145)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) 0.15/0.40 % (12144)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) 0.15/0.40 % (12140)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) 0.15/0.40 % (12144)Instruction limit reached! 0.15/0.40 % (12144)------------------------------ 0.15/0.40 % (12144)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.40 % (12144)Termination reason: Unknown 0.15/0.40 % (12144)Termination phase: shuffling 0.15/0.40 0.15/0.40 % (12144)Memory used [KB]: 1279 0.15/0.40 % (12144)Time elapsed: 0.005 s 0.15/0.40 % (12144)Instructions burned: 5 (million) 0.15/0.40 % (12144)------------------------------ 0.15/0.40 % (12144)------------------------------ 0.15/0.41 % (12142)Instruction limit reached! 0.15/0.41 % (12142)------------------------------ 0.15/0.41 % (12142)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.41 % (12142)Termination reason: Unknown 0.15/0.41 % (12142)Termination phase: Property scanning 0.15/0.41 0.15/0.41 % (12142)Memory used [KB]: 1407 0.15/0.41 % (12142)Time elapsed: 0.011 s 0.15/0.41 % (12142)Instructions burned: 18 (million) 0.15/0.41 % (12142)------------------------------ 0.15/0.41 % (12142)------------------------------ 0.15/0.41 % (12138)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.23/0.41 % (12139)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.23/0.42 % (12146)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) 0.23/0.42 % (12140)Instruction limit reached! 0.23/0.42 % (12140)------------------------------ 0.23/0.42 % (12140)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (12140)Termination reason: Unknown 0.23/0.42 % (12140)Termination phase: Property scanning 0.23/0.42 0.23/0.42 % (12140)Memory used [KB]: 1535 0.23/0.42 % (12140)Time elapsed: 0.019 s 0.23/0.42 % (12140)Instructions burned: 35 (million) 0.23/0.42 % (12140)------------------------------ 0.23/0.42 % (12140)------------------------------ 0.23/0.42 % (12147)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.23/0.43 % (12147)Instruction limit reached! 0.23/0.43 % (12147)------------------------------ 0.23/0.43 % (12147)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (12147)Termination reason: Unknown 0.23/0.43 % (12147)Termination phase: shuffling 0.23/0.43 0.23/0.43 % (12147)Memory used [KB]: 1279 0.23/0.43 % (12147)Time elapsed: 0.006 s 0.23/0.43 % (12147)Instructions burned: 8 (million) 0.23/0.43 % (12147)------------------------------ 0.23/0.43 % (12147)------------------------------ 0.23/0.43 % (12146)Instruction limit reached! 0.23/0.43 % (12146)------------------------------ 0.23/0.43 % (12146)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (12146)Termination reason: Unknown 0.23/0.43 % (12146)Termination phase: Property scanning 0.23/0.43 0.23/0.43 % (12146)Memory used [KB]: 1407 0.23/0.43 % (12146)Time elapsed: 0.012 s 0.23/0.43 % (12146)Instructions burned: 21 (million) 0.23/0.43 % (12146)------------------------------ 0.23/0.43 % (12146)------------------------------ 0.23/0.43 % (12139)Instruction limit reached! 0.23/0.43 % (12139)------------------------------ 0.23/0.43 % (12139)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (12139)Termination reason: Unknown 0.23/0.43 % (12139)Termination phase: Function definition elimination 0.23/0.43 0.23/0.43 % (12139)Memory used [KB]: 1535 0.23/0.43 % (12139)Time elapsed: 0.020 s 0.23/0.43 % (12139)Instructions burned: 36 (million) 0.23/0.43 % (12139)------------------------------ 0.23/0.43 % (12139)------------------------------ 0.23/0.43 % (12148)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) 0.23/0.43 % (12143)Instruction limit reached! 0.23/0.43 % (12143)------------------------------ 0.23/0.43 % (12143)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (12143)Termination reason: Unknown 0.23/0.43 % (12143)Termination phase: Saturation 0.23/0.43 0.23/0.43 % (12143)Memory used [KB]: 6140 0.23/0.43 % (12143)Time elapsed: 0.036 s 0.23/0.43 % (12143)Instructions burned: 75 (million) 0.23/0.43 % (12143)------------------------------ 0.23/0.43 % (12143)------------------------------ 0.23/0.44 % (12149)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) 0.23/0.44 % (12150)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) 0.23/0.44 % (12151)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) 0.23/0.45 % (12150)Instruction limit reached! 0.23/0.45 % (12150)------------------------------ 0.23/0.45 % (12150)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (12150)Termination reason: Unknown 0.23/0.45 % (12150)Termination phase: shuffling 0.23/0.45 0.23/0.45 % (12150)Memory used [KB]: 1407 0.23/0.45 % (12150)Time elapsed: 0.007 s 0.23/0.45 % (12150)Instructions burned: 10 (million) 0.23/0.45 % (12150)------------------------------ 0.23/0.45 % (12150)------------------------------ 0.23/0.45 % (12152)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) 0.23/0.45 % (12138)Instruction limit reached! 0.23/0.45 % (12138)------------------------------ 0.23/0.45 % (12138)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (12138)Termination reason: Unknown 0.23/0.45 % (12138)Termination phase: Saturation 0.23/0.45 0.23/0.45 % (12138)Memory used [KB]: 6652 0.23/0.45 % (12138)Time elapsed: 0.045 s 0.23/0.45 % (12138)Instructions burned: 98 (million) 0.23/0.45 % (12138)------------------------------ 0.23/0.45 % (12138)------------------------------ 0.23/0.46 % (12153)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.23/0.47 % (12154)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.23/0.47 % (12141)First to succeed. 0.23/0.47 % (12141)Refutation found. Thanks to Tanya! 0.23/0.47 % SZS status Theorem for Vampire---4 0.23/0.47 % SZS output start Proof for Vampire---4 0.23/0.47 thf(func_def_0, type, in: $i > $i > $o). 0.23/0.47 thf(func_def_1, type, exu: ($i > $o) > $o). 0.23/0.47 thf(func_def_6, type, setadjoin: $i > $i > $i). 0.23/0.47 thf(func_def_8, type, powerset: $i > $i). 0.23/0.47 thf(func_def_10, type, setunion: $i > $i). 0.23/0.47 thf(func_def_19, type, descr: ($i > $o) > $i). 0.23/0.47 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_26, type, prop2set: $o > $i). 0.23/0.47 thf(func_def_36, type, nonempty: $i > $o). 0.23/0.47 thf(func_def_69, type, set2prop: $i > $o). 0.23/0.47 thf(func_def_88, type, subset: $i > $i > $o). 0.23/0.47 thf(func_def_89, type, disjoint: $i > $i > $o). 0.23/0.47 thf(func_def_90, type, setsmeet: $i > $i > $o). 0.23/0.47 thf(func_def_114, type, binunion: $i > $i > $i). 0.23/0.47 thf(func_def_122, type, binintersect: $i > $i > $i). 0.23/0.47 thf(func_def_146, type, sK3: ($i > $o) > ($i > $o) > $i). 0.23/0.47 thf(func_def_147, type, sK4: ($i > $o) > ($i > $o) > $i). 0.23/0.47 thf(func_def_148, type, sK5: ($i > $o) > $i). 0.23/0.47 thf(func_def_149, type, sK6: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_150, type, sK7: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_151, type, sK8: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_152, type, sK9: ($i > $o) > $i). 0.23/0.47 thf(func_def_153, type, sK10: ($i > $o) > $i). 0.23/0.47 thf(func_def_154, type, sK11: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_155, type, sK12: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_156, type, sK13: ($i > $o) > $i). 0.23/0.47 thf(func_def_157, type, sK14: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_158, type, sK15: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_159, type, sK16: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_160, type, sK17: $o > $i > $i > $i). 0.23/0.47 thf(func_def_161, type, sK18: ($i > $o) > $i). 0.23/0.47 thf(func_def_162, type, sK19: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_163, type, sK20: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_164, type, sK21: $i > $i > $i). 0.23/0.47 thf(func_def_165, type, sK22: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_166, type, sK23: ($i > $o) > $i). 0.23/0.47 thf(func_def_167, type, sK24: $i > $i > $i). 0.23/0.47 thf(func_def_168, type, sK25: $i > $i > $i). 0.23/0.47 thf(func_def_169, type, sK26: $i > $i). 0.23/0.47 thf(func_def_170, type, sK27: ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_171, type, sK28: ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_172, type, sK29: $i > ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_173, type, sK30: ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_174, type, sK31: $i > ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_175, type, sK32: $i > ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_176, type, sK33: $i > ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_177, type, sK34: $i > ($i > $i > $o) > $i > $i). 0.23/0.47 thf(func_def_178, type, sK35: ($i > $o) > $i). 0.23/0.47 thf(func_def_179, type, sK36: ($i > $o) > $i). 0.23/0.47 thf(func_def_180, type, sK37: ($i > $o) > $i). 0.23/0.47 thf(func_def_181, type, sK38: ($i > $o) > $i). 0.23/0.47 thf(func_def_182, type, sK39: ($i > $o) > $i). 0.23/0.47 thf(func_def_183, type, sK40: $i > $i > $i). 0.23/0.47 thf(func_def_184, type, sK41: $i > $i). 0.23/0.47 thf(func_def_185, type, sK42: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_186, type, sK43: $i > $i). 0.23/0.47 thf(func_def_187, type, sK44: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_188, type, sK45: ($i > $o) > $i > ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_189, type, sK46: $i > $i > ($i > $o) > ($i > $o) > $i). 0.23/0.47 thf(func_def_190, type, sK47: $i > $i). 0.23/0.47 thf(func_def_191, type, sK48: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_192, type, sK49: $i > $i). 0.23/0.47 thf(func_def_193, type, sK50: $i > ($i > $o) > $i). 0.23/0.47 thf(func_def_194, type, sK51: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_195, type, sK52: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_196, type, sK53: $i > $i > $i). 0.23/0.47 thf(func_def_197, type, sK54: ($i > $o) > ($i > $o) > $i). 0.23/0.47 thf(func_def_198, type, sK55: ($i > $o) > ($i > $o) > $i). 0.23/0.47 thf(func_def_199, type, sK56: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_200, type, sK57: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_201, type, sK58: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_202, type, sK59: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_203, type, sK60: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_204, type, sK61: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_205, type, sK62: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_206, type, sK63: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_207, type, sK64: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_208, type, sK65: ($i > $o) > $i). 0.23/0.47 thf(func_def_209, type, sK66: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_210, type, sK67: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_211, type, sK68: $i > $i > $i). 0.23/0.47 thf(func_def_212, type, sK69: ($i > $o) > $i > $i). 0.23/0.47 thf(func_def_213, type, sK70: ($i > $o) > $i). 0.23/0.47 thf(func_def_214, type, sK71: ($i > $o) > $i). 0.23/0.47 thf(func_def_215, type, sK72: $i > $i). 0.23/0.47 thf(func_def_216, type, sK73: $i > $i). 0.23/0.47 thf(func_def_217, type, sK74: $i > $i > $i > $i). 0.23/0.47 thf(func_def_218, type, sK75: $i > $i > $i). 0.23/0.47 thf(func_def_219, type, sK76: $i > $i > $i). 0.23/0.47 thf(func_def_220, type, sK77: $i > $i > $i). 0.23/0.47 thf(func_def_221, type, sK78: $i > $i > $i). 0.23/0.47 thf(func_def_222, type, sK79: $i > $i > $i). 0.23/0.47 thf(func_def_223, type, sK80: $i > $i > $i). 0.23/0.47 thf(func_def_224, type, sK81: $i > $i > $i). 0.23/0.47 thf(f2019,plain,( 0.23/0.47 $false), 0.23/0.47 inference(subsumption_resolution,[],[f1385,f1585])). 0.23/0.47 thf(f1585,plain,( 0.23/0.47 ( ! [X2 : $i > $o,X1 : $i] : (($true = (subset @ (dsetconstr @ X1 @ X2) @ X1))) )), 0.23/0.47 inference(beta_eta_normalization,[],[f1584])). 0.23/0.47 thf(f1584,plain,( 0.23/0.47 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: (subset @ (dsetconstr @ X1 @ Y0) @ X1)) @ X2))) )), 0.23/0.47 inference(pi_clausification,[],[f1583])). 0.23/0.47 thf(f1583,plain,( 0.23/0.47 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (subset @ (dsetconstr @ X1 @ Y0) @ X1))))) )), 0.23/0.47 inference(beta_eta_normalization,[],[f1582])). 0.23/0.47 thf(f1582,plain,( 0.23/0.47 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (subset @ (dsetconstr @ Y0 @ Y1) @ Y0)))) @ X1))) )), 0.23/0.47 inference(pi_clausification,[],[f1581])). 0.23/0.47 thf(f1581,plain,( 0.23/0.47 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))), 0.23/0.47 inference(beta_eta_normalization,[],[f621])). 0.23/0.47 thf(f621,plain,( 0.23/0.47 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (subset @ (dsetconstr @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))) @ Y0))))))), 0.23/0.47 inference(definition_unfolding,[],[f509,f436])). 0.23/0.47 thf(f436,plain,( 0.23/0.47 (sepSubset = $true)), 0.23/0.47 inference(cnf_transformation,[],[f336])). 0.23/0.47 thf(f336,plain,( 0.23/0.47 (setunionE = $true) & (prop2setE = $true) & (quantDeMorgan2 = $true) & (dsetconstr__Cong = $true) & (exuI2 = $true) & (setadjoin__Cong = $true) & (binunionIL = $true) & (nonemptyI1 = $true) & (eqinunit = $true) & (notequalI1 = $true) & (emptysetAx = $true) & (omegaSAx = $true) & (exuE1 = $true) & (emptyinPowerset = $true) & (setext = $true) & (binunionE = $true) & (subsetRefl = $true) & (quantDeMorgan3 = $true) & (sepSubset = $true) & (emptyI = $true) & (emptysetE = $true) & (powersetE = $true) & (dsetconstrER = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (notinsingleton = $true) & (sepInPowerset = $true) & (binintersectEL = $true) & (exuI1 = $true) & (wellorderingAx = $true) & (nonemptyImpWitness = $true) & (exuE3u = $true) & (quantDeMorgan1 = $true) & (exu__Cong = $true) & (binintersectI = $true) & (setadjoinSub = $true) & (subsetE2 = $true) & (binintersectSubset5 = $true) & (exuE3e = $true) & (powersetsubset = $true) & (prop2setI = $true) & (replAx = $true) & (binunionLsub = $true) & (omega__Cong = $true) & (setadjoinIL = $true) & (exuE2 = $true) & (exuEu = $true) & (emptyE1 = $true) & (eqimpsubset2 = $true) & (upairsetIR = $true) & (emptyInPowerset = $true) & (subset2powerset = $true) & (subsetemptysetimpeq = $true) & (subsetE = $true) & (binunionEcases = $true) & (inPowerset = $true) & (powersetI = $true) & (subPowSU = $true) & (emptysetsubset = $true) & (subsetI1 = $true) & (quantDeMorgan4 = $true) & (omega0Ax = $true) & (powersetI1 = $true) & (notdallE = $true) & (binunionIR = $true) & ($true != (subset @ (binintersect @ sK1 @ sK0) @ sK1)) & (setunionI = $true) & (setbeta = $true) & (emptysetimpfalse = $true) & (powersetAx = $true) & (notdexE = $true) & (setadjoinE = $true) & (emptyset__Cong = $true) & (emptyinunitempty = $true) & (setoftrueEq = $true) & (subsetI2 = $true) & (noeltsimpempty = $true) & (setunionAx = $true) & (powersetE1 = $true) & (upairset2IR = $true) & (setadjoinIR = $true) & (uniqinunit = $true) & (dsetconstrI = $true) & (binunionRsub = $true) & (inCongP = $true) & (setadjoinSub2 = $true) & (foundationAx = $true) & (setadjoinOr = $true) & (upairsetE = $true) & (omegaIndAx = $true) & (setextAx = $true) & (upairsetIL = $true) & (prop2set2propI = $true) & (powerset__Cong = $true) & (setextsub = $true) & (dsetconstrEL = $true) & (notinemptyset = $true) & (notequalI2 = $true) & (setunion__Cong = $true) & (descr__Cong = $true) & (in__Cong = $true) & (vacuousDall = $true) & (setadjoinAx = $true) & (eqimpsubset1 = $true) & (subsetTrans = $true) & (descrp = $true) & (notsubsetI = $true) & (exuI3 = $true) & (singletonsswitch = $true)), 0.23/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f334,f335])). 0.23/0.47 thf(f335,plain,( 0.23/0.47 ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X1)) => ($true != (subset @ (binintersect @ sK1 @ sK0) @ sK1))), 0.23/0.47 introduced(choice_axiom,[])). 0.23/0.47 thf(f334,plain,( 0.23/0.47 (setunionE = $true) & (prop2setE = $true) & (quantDeMorgan2 = $true) & (dsetconstr__Cong = $true) & (exuI2 = $true) & (setadjoin__Cong = $true) & (binunionIL = $true) & (nonemptyI1 = $true) & (eqinunit = $true) & (notequalI1 = $true) & (emptysetAx = $true) & (omegaSAx = $true) & (exuE1 = $true) & (emptyinPowerset = $true) & (setext = $true) & (binunionE = $true) & (subsetRefl = $true) & (quantDeMorgan3 = $true) & (sepSubset = $true) & (emptyI = $true) & (emptysetE = $true) & (powersetE = $true) & (dsetconstrER = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (notinsingleton = $true) & (sepInPowerset = $true) & (binintersectEL = $true) & (exuI1 = $true) & (wellorderingAx = $true) & (nonemptyImpWitness = $true) & (exuE3u = $true) & (quantDeMorgan1 = $true) & (exu__Cong = $true) & (binintersectI = $true) & (setadjoinSub = $true) & (subsetE2 = $true) & (binintersectSubset5 = $true) & (exuE3e = $true) & (powersetsubset = $true) & (prop2setI = $true) & (replAx = $true) & (binunionLsub = $true) & (omega__Cong = $true) & (setadjoinIL = $true) & (exuE2 = $true) & (exuEu = $true) & (emptyE1 = $true) & (eqimpsubset2 = $true) & (upairsetIR = $true) & (emptyInPowerset = $true) & (subset2powerset = $true) & (subsetemptysetimpeq = $true) & (subsetE = $true) & (binunionEcases = $true) & (inPowerset = $true) & (powersetI = $true) & (subPowSU = $true) & (emptysetsubset = $true) & (subsetI1 = $true) & (quantDeMorgan4 = $true) & (omega0Ax = $true) & (powersetI1 = $true) & (notdallE = $true) & (binunionIR = $true) & ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X1)) & (setunionI = $true) & (setbeta = $true) & (emptysetimpfalse = $true) & (powersetAx = $true) & (notdexE = $true) & (setadjoinE = $true) & (emptyset__Cong = $true) & (emptyinunitempty = $true) & (setoftrueEq = $true) & (subsetI2 = $true) & (noeltsimpempty = $true) & (setunionAx = $true) & (powersetE1 = $true) & (upairset2IR = $true) & (setadjoinIR = $true) & (uniqinunit = $true) & (dsetconstrI = $true) & (binunionRsub = $true) & (inCongP = $true) & (setadjoinSub2 = $true) & (foundationAx = $true) & (setadjoinOr = $true) & (upairsetE = $true) & (omegaIndAx = $true) & (setextAx = $true) & (upairsetIL = $true) & (prop2set2propI = $true) & (powerset__Cong = $true) & (setextsub = $true) & (dsetconstrEL = $true) & (notinemptyset = $true) & (notequalI2 = $true) & (setunion__Cong = $true) & (descr__Cong = $true) & (in__Cong = $true) & (vacuousDall = $true) & (setadjoinAx = $true) & (eqimpsubset1 = $true) & (subsetTrans = $true) & (descrp = $true) & (notsubsetI = $true) & (exuI3 = $true) & (singletonsswitch = $true)), 0.23/0.47 inference(flattening,[],[f333])). 0.23/0.47 thf(f333,plain,( 0.23/0.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X1)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $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)), 0.23/0.47 inference(ennf_transformation,[],[f202])). 0.23/0.47 thf(f202,plain,( 0.23/0.47 ~((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) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ! [X0,X1] : ($true = (subset @ (binintersect @ X1 @ X0) @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.23/0.47 inference(fool_elimination,[],[f201])). 0.23/0.47 thf(f201,plain,( 0.23/0.47 ~(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 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => ! [X0,X1] : (subset @ (binintersect @ X1 @ X0) @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.23/0.47 inference(rectify,[],[f113])). 0.23/0.47 thf(f113,negated_conjecture,( 0.23/0.47 ~(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 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => ! [X4,X3] : (subset @ (binintersect @ X3 @ X4) @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.23/0.47 inference(negated_conjecture,[],[f112])). 0.23/0.47 thf(f112,conjecture,( 0.23/0.47 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 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => ! [X4,X3] : (subset @ (binintersect @ X3 @ X4) @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.23/0.47 file('/export/starexec/sandbox/tmp/tmp.lecKHu6XcG/Vampire---4.8_12030',binintersectLsub)). 0.23/0.47 thf(f509,plain,( 0.23/0.47 (sepSubset = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (subset @ (dsetconstr @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))) @ Y0))))))), 0.23/0.47 inference(cnf_transformation,[],[f186])). 0.23/0.47 thf(f186,plain,( 0.23/0.47 (sepSubset = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (subset @ (dsetconstr @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2))) @ Y0))))))), 0.23/0.47 inference(fool_elimination,[],[f185])). 0.23/0.47 thf(f185,plain,( 0.23/0.47 (! [X0 : $i > $o,X1] : (subset @ (dsetconstr @ X1 @ (^[X2 : $i] : (X0 @ X2))) @ X1) = sepSubset)), 0.23/0.47 inference(rectify,[],[f100])). 0.23/0.47 thf(f100,axiom,( 0.23/0.47 (! [X0 : $i > $o,X3] : (subset @ (dsetconstr @ X3 @ (^[X1 : $i] : (X0 @ X1))) @ X3) = sepSubset)), 0.23/0.47 file('/export/starexec/sandbox/tmp/tmp.lecKHu6XcG/Vampire---4.8_12030',sepSubset)). 0.23/0.47 thf(f1385,plain,( 0.23/0.47 ($true != (subset @ (dsetconstr @ sK1 @ (^[Y0 : $i]: (in @ Y0 @ sK0))) @ sK1))), 0.23/0.47 inference(beta_eta_normalization,[],[f564])). 0.23/0.47 thf(f564,plain,( 0.23/0.47 ($true != (subset @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))) @ sK1 @ sK0) @ sK1))), 0.23/0.47 inference(definition_unfolding,[],[f389,f524])). 0.23/0.47 thf(f524,plain,( 0.23/0.47 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))), 0.23/0.47 inference(cnf_transformation,[],[f210])). 0.23/0.47 thf(f210,plain,( 0.23/0.47 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))), 0.23/0.47 inference(fool_elimination,[],[f209])). 0.23/0.47 thf(f209,plain,( 0.23/0.47 ((^[X0 : $i, X1 : $i] : (dsetconstr @ X0 @ (^[X2 : $i] : (in @ X2 @ X1)))) = binintersect)), 0.23/0.47 inference(rectify,[],[f108])). 0.23/0.47 thf(f108,axiom,( 0.23/0.47 ((^[X3 : $i, X4 : $i] : (dsetconstr @ X3 @ (^[X1 : $i] : (in @ X1 @ X4)))) = binintersect)), 0.23/0.47 file('/export/starexec/sandbox/tmp/tmp.lecKHu6XcG/Vampire---4.8_12030',binintersect)). 0.23/0.47 thf(f389,plain,( 0.23/0.47 ($true != (subset @ (binintersect @ sK1 @ sK0) @ sK1))), 0.23/0.47 inference(cnf_transformation,[],[f336])). 0.23/0.47 % SZS output end Proof for Vampire---4 0.23/0.47 % (12141)------------------------------ 0.23/0.47 % (12141)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.47 % (12141)Termination reason: Refutation 0.23/0.47 0.23/0.47 % (12141)Memory used [KB]: 6908 0.23/0.47 % (12141)Time elapsed: 0.076 s 0.23/0.47 % (12141)Instructions burned: 140 (million) 0.23/0.47 % (12141)------------------------------ 0.23/0.47 % (12141)------------------------------ 0.23/0.47 % (12137)Success in time 0.091 s 0.23/0.47 % Vampire---4.8 exiting 0.23/0.48 EOF