0.11/0.15 % Problem : Vampire---4.8_16496 : TPTP v0.0.0. Released v0.0.0. 0.11/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.17/0.37 % Computer : n029.cluster.edu 0.17/0.37 % Model : x86_64 x86_64 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.37 % Memory : 8042.1875MB 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.37 % CPULimit : 1440 0.17/0.37 % WCLimit : 180 0.17/0.37 % DateTime : Mon Jul 3 13:25:12 EDT 2023 0.17/0.37 % CPUTime : 0.17/0.38 This is a THF_ problem 0.17/0.38 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.Q8jMGxgnXj/Vampire---4.8_16496 -m 12000 -t 180 0.17/0.41 % (16612)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) 0.17/0.41 % (16605)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.17/0.41 % (16606)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.17/0.41 % (16607)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) 0.17/0.41 % (16608)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) 0.17/0.41 % (16609)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.17/0.41 % (16610)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) 0.17/0.41 % (16611)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) 0.17/0.41 % (16611)Instruction limit reached! 0.17/0.41 % (16611)------------------------------ 0.17/0.41 % (16611)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.41 % (16611)Termination reason: Unknown 0.17/0.41 % (16611)Termination phase: shuffling 0.17/0.41 0.17/0.41 % (16611)Memory used [KB]: 1407 0.17/0.41 % (16611)Time elapsed: 0.004 s 0.17/0.41 % (16611)Instructions burned: 5 (million) 0.17/0.41 % (16611)------------------------------ 0.17/0.41 % (16611)------------------------------ 0.17/0.42 % (16609)Instruction limit reached! 0.17/0.42 % (16609)------------------------------ 0.17/0.42 % (16609)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (16609)Termination reason: Unknown 0.17/0.42 % (16609)Termination phase: shuffling 0.17/0.42 0.17/0.42 % (16609)Memory used [KB]: 1663 0.17/0.42 % (16609)Time elapsed: 0.011 s 0.17/0.42 % (16609)Instructions burned: 18 (million) 0.17/0.42 % (16609)------------------------------ 0.17/0.42 % (16609)------------------------------ 0.24/0.43 % (16607)Instruction limit reached! 0.24/0.43 % (16607)------------------------------ 0.24/0.43 % (16607)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.43 % (16607)Termination reason: Unknown 0.24/0.43 % (16607)Termination phase: Property scanning 0.24/0.43 0.24/0.43 % (16607)Memory used [KB]: 1918 0.24/0.43 % (16607)Time elapsed: 0.019 s 0.24/0.43 % (16607)Instructions burned: 34 (million) 0.24/0.43 % (16607)------------------------------ 0.24/0.43 % (16607)------------------------------ 0.24/0.43 % (16606)Instruction limit reached! 0.24/0.43 % (16606)------------------------------ 0.24/0.43 % (16606)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.43 % (16606)Termination reason: Unknown 0.24/0.43 % (16606)Termination phase: Property scanning 0.24/0.43 0.24/0.43 % (16606)Memory used [KB]: 1918 0.24/0.43 % (16606)Time elapsed: 0.020 s 0.24/0.43 % (16606)Instructions burned: 37 (million) 0.24/0.43 % (16606)------------------------------ 0.24/0.43 % (16606)------------------------------ 0.24/0.43 % (16613)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) 0.24/0.43 % (16614)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.24/0.44 % (16614)Instruction limit reached! 0.24/0.44 % (16614)------------------------------ 0.24/0.44 % (16614)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (16614)Termination reason: Unknown 0.24/0.44 % (16614)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (16614)Memory used [KB]: 1407 0.24/0.44 % (16614)Time elapsed: 0.005 s 0.24/0.44 % (16614)Instructions burned: 7 (million) 0.24/0.44 % (16614)------------------------------ 0.24/0.44 % (16614)------------------------------ 0.24/0.44 % (16613)Instruction limit reached! 0.24/0.44 % (16613)------------------------------ 0.24/0.44 % (16613)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (16613)Termination reason: Unknown 0.24/0.44 % (16613)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (16613)Memory used [KB]: 1791 0.24/0.44 % (16613)Time elapsed: 0.013 s 0.24/0.44 % (16613)Instructions burned: 21 (million) 0.24/0.44 % (16613)------------------------------ 0.24/0.44 % (16613)------------------------------ 0.24/0.44 % (16615)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) 0.24/0.44 % (16616)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) 0.24/0.44 % (16610)Instruction limit reached! 0.24/0.44 % (16610)------------------------------ 0.24/0.44 % (16610)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (16610)Termination reason: Unknown 0.24/0.44 % (16610)Termination phase: Property scanning 0.24/0.44 0.24/0.44 % (16610)Memory used [KB]: 2174 0.24/0.44 % (16610)Time elapsed: 0.037 s 0.24/0.44 % (16610)Instructions burned: 76 (million) 0.24/0.44 % (16610)------------------------------ 0.24/0.44 % (16610)------------------------------ 0.24/0.45 % (16617)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) 0.24/0.45 % (16618)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) 0.24/0.45 % (16605)Instruction limit reached! 0.24/0.45 % (16605)------------------------------ 0.24/0.45 % (16605)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.45 % (16605)Termination reason: Unknown 0.24/0.45 % (16605)Termination phase: Saturation 0.24/0.45 0.24/0.45 % (16605)Memory used [KB]: 6780 0.24/0.45 % (16605)Time elapsed: 0.047 s 0.24/0.45 % (16605)Instructions burned: 97 (million) 0.24/0.45 % (16605)------------------------------ 0.24/0.45 % (16605)------------------------------ 0.24/0.46 % (16617)Instruction limit reached! 0.24/0.46 % (16617)------------------------------ 0.24/0.46 % (16617)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.46 % (16617)Termination reason: Unknown 0.24/0.46 % (16617)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (16617)Memory used [KB]: 1535 0.24/0.46 % (16617)Time elapsed: 0.007 s 0.24/0.46 % (16617)Instructions burned: 10 (million) 0.24/0.46 % (16617)------------------------------ 0.24/0.46 % (16617)------------------------------ 0.24/0.46 % (16619)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) 0.24/0.47 % (16620)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.24/0.47 % (16621)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.24/0.47 % (16616)Instruction limit reached! 0.24/0.47 % (16616)------------------------------ 0.24/0.47 % (16616)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.47 % (16616)Termination reason: Unknown 0.24/0.47 % (16616)Termination phase: Function definition elimination 0.24/0.47 0.24/0.47 % (16616)Memory used [KB]: 2046 0.24/0.47 % (16616)Time elapsed: 0.035 s 0.24/0.47 % (16616)Instructions burned: 71 (million) 0.24/0.47 % (16616)------------------------------ 0.24/0.47 % (16616)------------------------------ 0.24/0.48 % (16621)Instruction limit reached! 0.24/0.48 % (16621)------------------------------ 0.24/0.48 % (16621)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.48 % (16621)Termination reason: Unknown 0.24/0.48 % (16621)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (16621)Memory used [KB]: 1663 0.24/0.48 % (16621)Time elapsed: 0.011 s 0.24/0.48 % (16621)Instructions burned: 14 (million) 0.24/0.48 % (16621)------------------------------ 0.24/0.48 % (16621)------------------------------ 0.24/0.49 % (16622)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.24/0.49 % (16622)Instruction limit reached! 0.24/0.49 % (16622)------------------------------ 0.24/0.49 % (16622)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.49 % (16622)Termination reason: Unknown 0.24/0.49 % (16622)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (16622)Memory used [KB]: 1279 0.24/0.49 % (16622)Time elapsed: 0.003 s 0.24/0.49 % (16622)Instructions burned: 2 (million) 0.24/0.49 % (16622)------------------------------ 0.24/0.49 % (16622)------------------------------ 0.24/0.49 % (16623)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.24/0.50 % (16620)Instruction limit reached! 0.24/0.50 % (16620)------------------------------ 0.24/0.50 % (16620)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.50 % (16620)Termination reason: Unknown 0.24/0.50 % (16620)Termination phase: Preprocessing 3 0.24/0.50 0.24/0.50 % (16620)Memory used [KB]: 3070 0.24/0.50 % (16620)Time elapsed: 0.036 s 0.24/0.50 % (16620)Instructions burned: 61 (million) 0.24/0.50 % (16620)------------------------------ 0.24/0.50 % (16620)------------------------------ 0.24/0.51 % (16624)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.24/0.51 % (16624)Instruction limit reached! 0.24/0.51 % (16624)------------------------------ 0.24/0.51 % (16624)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.51 % (16624)Termination reason: Unknown 0.24/0.51 % (16624)Termination phase: shuffling 0.24/0.51 0.24/0.51 % (16624)Memory used [KB]: 1535 0.24/0.51 % (16624)Time elapsed: 0.008 s 0.24/0.51 % (16624)Instructions burned: 12 (million) 0.24/0.51 % (16624)------------------------------ 0.24/0.51 % (16624)------------------------------ 0.24/0.52 % (16625)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 0.24/0.52 % (16619)Instruction limit reached! 0.24/0.52 % (16619)------------------------------ 0.24/0.52 % (16619)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.52 % (16619)Termination reason: Unknown 0.24/0.52 % (16619)Termination phase: Saturation 0.24/0.52 0.24/0.52 % (16619)Memory used [KB]: 6908 0.24/0.52 % (16619)Time elapsed: 0.064 s 0.24/0.52 % (16619)Instructions burned: 128 (million) 0.24/0.52 % (16619)------------------------------ 0.24/0.52 % (16619)------------------------------ 0.24/0.53 % (16626)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 0.24/0.54 % (16627)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.24/0.54 % (16626)Instruction limit reached! 0.24/0.54 % (16626)------------------------------ 0.24/0.54 % (16626)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.54 % (16626)Termination reason: Unknown 0.24/0.54 % (16626)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (16626)Memory used [KB]: 1918 0.24/0.54 % (16626)Time elapsed: 0.013 s 0.24/0.54 % (16626)Instructions burned: 26 (million) 0.24/0.54 % (16626)------------------------------ 0.24/0.54 % (16626)------------------------------ 0.24/0.55 % (16627)Instruction limit reached! 0.24/0.55 % (16627)------------------------------ 0.24/0.55 % (16627)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.55 % (16627)Termination reason: Unknown 0.24/0.55 % (16627)Termination phase: Property scanning 0.24/0.55 0.24/0.55 % (16627)Memory used [KB]: 1918 0.24/0.55 % (16627)Time elapsed: 0.019 s 0.24/0.55 % (16627)Instructions burned: 56 (million) 0.24/0.55 % (16627)------------------------------ 0.24/0.55 % (16627)------------------------------ 0.24/0.55 % (16628)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 0.24/0.56 % (16629)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.24/0.56 % (16629)Instruction limit reached! 0.24/0.56 % (16629)------------------------------ 0.24/0.56 % (16629)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.56 % (16629)Termination reason: Unknown 0.24/0.56 % (16629)Termination phase: shuffling 0.24/0.56 0.24/0.56 % (16629)Memory used [KB]: 1279 0.24/0.56 % (16629)Time elapsed: 0.002 s 0.24/0.56 % (16629)Instructions burned: 3 (million) 0.24/0.56 % (16629)------------------------------ 0.24/0.56 % (16629)------------------------------ 0.24/0.57 % (16625)Instruction limit reached! 0.24/0.57 % (16625)------------------------------ 0.24/0.57 % (16625)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.57 % (16625)Termination reason: Unknown 0.24/0.57 % (16625)Termination phase: Saturation 0.24/0.57 0.24/0.57 % (16625)Memory used [KB]: 6908 0.24/0.57 % (16625)Time elapsed: 0.051 s 0.24/0.57 % (16625)Instructions burned: 141 (million) 0.24/0.57 % (16625)------------------------------ 0.24/0.57 % (16625)------------------------------ 1.53/0.57 % (16630)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi) 1.53/0.58 % (16631)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1798ds/44Mi) 1.53/0.58 % (16630)Instruction limit reached! 1.53/0.58 % (16630)------------------------------ 1.53/0.58 % (16630)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.53/0.58 % (16630)Termination reason: Unknown 1.53/0.58 % (16630)Termination phase: shuffling 1.53/0.58 1.53/0.58 % (16630)Memory used [KB]: 1791 1.53/0.58 % (16630)Time elapsed: 0.007 s 1.53/0.58 % (16630)Instructions burned: 20 (million) 1.53/0.58 % (16630)------------------------------ 1.53/0.58 % (16630)------------------------------ 1.66/0.58 % (16632)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi) 1.66/0.59 % (16631)Instruction limit reached! 1.66/0.59 % (16631)------------------------------ 1.66/0.59 % (16631)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.66/0.59 % (16631)Termination reason: Unknown 1.66/0.59 % (16631)Termination phase: Property scanning 1.66/0.59 1.66/0.59 % (16631)Memory used [KB]: 1918 1.66/0.59 % (16631)Time elapsed: 0.014 s 1.66/0.59 % (16631)Instructions burned: 46 (million) 1.66/0.59 % (16608)Instruction limit reached! 1.66/0.59 % (16608)------------------------------ 1.66/0.59 % (16608)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.66/0.59 % (16608)Termination reason: Unknown 1.66/0.59 % (16608)Termination phase: Saturation 1.66/0.59 1.66/0.59 % (16608)Memory used [KB]: 8315 1.66/0.59 % (16608)Time elapsed: 0.181 s 1.66/0.59 % (16608)Instructions burned: 386 (million) 1.66/0.59 % (16608)------------------------------ 1.66/0.59 % (16608)------------------------------ 1.66/0.59 % (16631)------------------------------ 1.66/0.59 % (16631)------------------------------ 1.66/0.60 % (16633)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi) 1.66/0.60 % (16634)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi) 1.66/0.61 % (16633)Instruction limit reached! 1.66/0.61 % (16633)------------------------------ 1.66/0.61 % (16633)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.66/0.61 % (16633)Termination reason: Unknown 1.66/0.61 % (16633)Termination phase: Property scanning 1.66/0.61 1.66/0.61 % (16633)Memory used [KB]: 1918 1.66/0.61 % (16633)Time elapsed: 0.018 s 1.66/0.61 % (16633)Instructions burned: 64 (million) 1.66/0.61 % (16633)------------------------------ 1.66/0.61 % (16633)------------------------------ 1.66/0.62 % (16635)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.91/0.62 % (16635)Instruction limit reached! 1.91/0.62 % (16635)------------------------------ 1.91/0.62 % (16635)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.91/0.62 % (16635)Termination reason: Unknown 1.91/0.62 % (16635)Termination phase: shuffling 1.91/0.62 1.91/0.62 % (16635)Memory used [KB]: 1279 1.91/0.62 % (16635)Time elapsed: 0.002 s 1.91/0.62 % (16635)Instructions burned: 3 (million) 1.91/0.62 % (16635)------------------------------ 1.91/0.62 % (16635)------------------------------ 1.91/0.63 % (16634)Instruction limit reached! 1.91/0.63 % (16634)------------------------------ 1.91/0.63 % (16634)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.91/0.63 % (16634)Termination reason: Unknown 1.91/0.63 % (16634)Termination phase: Saturation 1.91/0.63 1.91/0.63 % (16634)Memory used [KB]: 6780 1.91/0.63 % (16634)Time elapsed: 0.030 s 1.91/0.63 % (16634)Instructions burned: 108 (million) 1.91/0.63 % (16634)------------------------------ 1.91/0.63 % (16634)------------------------------ 1.91/0.63 % (16636)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on Vampire---4 for (1797ds/238Mi) 1.91/0.63 % (16637)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.91/0.63 % (16637)Instruction limit reached! 1.91/0.63 % (16637)------------------------------ 1.91/0.63 % (16637)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.91/0.63 % (16637)Termination reason: Unknown 1.91/0.63 % (16637)Termination phase: shuffling 1.91/0.63 1.91/0.63 % (16637)Memory used [KB]: 1279 1.91/0.63 % (16637)Time elapsed: 0.002 s 1.91/0.63 % (16637)Instructions burned: 3 (million) 1.91/0.63 % (16637)------------------------------ 1.91/0.63 % (16637)------------------------------ 2.02/0.64 % (16632)Instruction limit reached! 2.02/0.64 % (16632)------------------------------ 2.02/0.64 % (16632)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.64 % (16632)Termination reason: Unknown 2.02/0.64 % (16632)Termination phase: Saturation 2.02/0.64 2.02/0.64 % (16632)Memory used [KB]: 7547 2.02/0.64 % (16632)Time elapsed: 0.057 s 2.02/0.64 % (16632)Instructions burned: 193 (million) 2.02/0.64 % (16632)------------------------------ 2.02/0.64 % (16632)------------------------------ 2.02/0.64 % (16638)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 Vampire---4 for (1797ds/4Mi) 2.02/0.65 % (16638)Instruction limit reached! 2.02/0.65 % (16638)------------------------------ 2.02/0.65 % (16638)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.65 % (16638)Termination reason: Unknown 2.02/0.65 % (16638)Termination phase: shuffling 2.02/0.65 2.02/0.65 % (16638)Memory used [KB]: 1407 2.02/0.65 % (16638)Time elapsed: 0.003 s 2.02/0.65 % (16638)Instructions burned: 7 (million) 2.02/0.65 % (16638)------------------------------ 2.02/0.65 % (16638)------------------------------ 2.02/0.65 % (16639)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1797ds/149Mi) 2.02/0.65 % (16640)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1797ds/150Mi) 2.02/0.67 % (16628)Instruction limit reached! 2.02/0.67 % (16628)------------------------------ 2.02/0.67 % (16628)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.67 % (16628)Termination reason: Unknown 2.02/0.67 % (16628)Termination phase: Saturation 2.02/0.67 2.02/0.67 % (16628)Memory used [KB]: 8443 2.02/0.67 % (16628)Time elapsed: 0.122 s 2.02/0.67 % (16628)Instructions burned: 275 (million) 2.02/0.67 % (16628)------------------------------ 2.02/0.67 % (16628)------------------------------ 2.02/0.68 % (16641)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1797ds/199Mi) 2.02/0.69 % (16636)Instruction limit reached! 2.02/0.69 % (16636)------------------------------ 2.02/0.69 % (16636)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.69 % (16636)Termination reason: Unknown 2.02/0.69 % (16636)Termination phase: Saturation 2.02/0.69 2.02/0.69 % (16636)Memory used [KB]: 6780 2.02/0.69 % (16636)Time elapsed: 0.061 s 2.02/0.69 % (16636)Instructions burned: 238 (million) 2.02/0.69 % (16636)------------------------------ 2.02/0.69 % (16636)------------------------------ 2.02/0.70 % (16639)Instruction limit reached! 2.02/0.70 % (16639)------------------------------ 2.02/0.70 % (16639)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.70 % (16639)Termination reason: Unknown 2.02/0.70 % (16639)Termination phase: Saturation 2.02/0.70 2.02/0.70 % (16639)Memory used [KB]: 7291 2.02/0.70 % (16639)Time elapsed: 0.046 s 2.02/0.70 % (16639)Instructions burned: 149 (million) 2.02/0.70 % (16639)------------------------------ 2.02/0.70 % (16639)------------------------------ 2.02/0.70 % (16642)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi) 2.02/0.70 % (16640)Instruction limit reached! 2.02/0.70 % (16640)------------------------------ 2.02/0.70 % (16640)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.02/0.70 % (16640)Termination reason: Unknown 2.02/0.70 % (16640)Termination phase: Saturation 2.02/0.70 2.02/0.70 % (16640)Memory used [KB]: 8059 2.02/0.70 % (16640)Time elapsed: 0.048 s 2.02/0.70 % (16640)Instructions burned: 151 (million) 2.02/0.70 % (16640)------------------------------ 2.02/0.70 % (16640)------------------------------ 2.02/0.71 % (16643)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1797ds/721Mi) 2.62/0.71 % (16644)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi) 2.62/0.71 % (16644)Instruction limit reached! 2.62/0.71 % (16644)------------------------------ 2.62/0.71 % (16644)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.62/0.71 % (16644)Termination reason: Unknown 2.62/0.71 % (16644)Termination phase: shuffling 2.62/0.71 2.62/0.71 % (16644)Memory used [KB]: 1279 2.62/0.71 % (16644)Time elapsed: 0.002 s 2.62/0.71 % (16644)Instructions burned: 3 (million) 2.62/0.71 % (16644)------------------------------ 2.62/0.71 % (16644)------------------------------ 2.62/0.71 % (16642)Instruction limit reached! 2.62/0.71 % (16642)------------------------------ 2.62/0.71 % (16642)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.62/0.71 % (16642)Termination reason: Unknown 2.62/0.71 % (16642)Termination phase: Property scanning 2.62/0.71 2.62/0.71 % (16642)Memory used [KB]: 1918 2.62/0.71 % (16642)Time elapsed: 0.012 s 2.62/0.71 % (16642)Instructions burned: 39 (million) 2.62/0.71 % (16642)------------------------------ 2.62/0.71 % (16642)------------------------------ 2.62/0.72 % (16645)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1796ds/18Mi) 2.62/0.72 % (16646)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1796ds/218Mi) 2.62/0.72 % (16645)Instruction limit reached! 2.62/0.72 % (16645)------------------------------ 2.62/0.72 % (16645)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.62/0.72 % (16645)Termination reason: Unknown 2.62/0.72 % (16645)Termination phase: shuffling 2.62/0.72 2.62/0.72 % (16645)Memory used [KB]: 1791 2.62/0.72 % (16645)Time elapsed: 0.007 s 2.62/0.72 % (16645)Instructions burned: 20 (million) 2.62/0.72 % (16645)------------------------------ 2.62/0.72 % (16645)------------------------------ 2.62/0.73 % (16647)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1796ds/448Mi) 2.62/0.75 % (16641)Instruction limit reached! 2.62/0.75 % (16641)------------------------------ 2.62/0.75 % (16641)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.62/0.75 % (16641)Termination reason: Unknown 2.62/0.75 % (16641)Termination phase: Saturation 2.62/0.75 2.62/0.75 % (16641)Memory used [KB]: 7036 2.62/0.75 % (16641)Time elapsed: 0.088 s 2.62/0.75 % (16641)Instructions burned: 200 (million) 2.62/0.75 % (16641)------------------------------ 2.62/0.75 % (16641)------------------------------ 2.62/0.76 % (16648)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1796ds/6Mi) 2.62/0.76 % (16615)First to succeed. 2.62/0.76 % (16648)Instruction limit reached! 2.62/0.76 % (16648)------------------------------ 2.62/0.76 % (16648)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.62/0.76 % (16648)Termination reason: Unknown 2.62/0.76 % (16648)Termination phase: shuffling 2.62/0.76 2.62/0.76 % (16648)Memory used [KB]: 1407 2.62/0.76 % (16648)Time elapsed: 0.003 s 2.62/0.76 % (16648)Instructions burned: 6 (million) 2.62/0.76 % (16648)------------------------------ 2.62/0.76 % (16648)------------------------------ 2.62/0.76 % (16615)Refutation found. Thanks to Tanya! 2.62/0.76 % SZS status Theorem for Vampire---4 2.62/0.76 % SZS output start Proof for Vampire---4 2.62/0.76 thf(func_def_0, type, in: $i > $i > $o). 2.62/0.76 thf(func_def_1, type, exu: ($i > $o) > $o). 2.62/0.76 thf(func_def_6, type, setadjoin: $i > $i > $i). 2.62/0.76 thf(func_def_8, type, powerset: $i > $i). 2.62/0.76 thf(func_def_10, type, setunion: $i > $i). 2.62/0.76 thf(func_def_19, type, descr: ($i > $o) > $i). 2.62/0.76 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_26, type, prop2set: $o > $i). 2.62/0.76 thf(func_def_36, type, nonempty: $i > $o). 2.62/0.76 thf(func_def_69, type, set2prop: $i > $o). 2.62/0.76 thf(func_def_88, type, subset: $i > $i > $o). 2.62/0.76 thf(func_def_89, type, disjoint: $i > $i > $o). 2.62/0.76 thf(func_def_90, type, setsmeet: $i > $i > $o). 2.62/0.76 thf(func_def_114, type, binunion: $i > $i > $i). 2.62/0.76 thf(func_def_122, type, binintersect: $i > $i > $i). 2.62/0.76 thf(func_def_135, type, regular: $i > $o). 2.62/0.76 thf(func_def_136, type, setminus: $i > $i > $i). 2.62/0.76 thf(func_def_147, type, symdiff: $i > $i > $i). 2.62/0.76 thf(func_def_153, type, iskpair: $i > $o). 2.62/0.76 thf(func_def_158, type, kpair: $i > $i > $i). 2.62/0.76 thf(func_def_160, type, cartprod: $i > $i > $i). 2.62/0.76 thf(func_def_177, type, singleton: $i > $o). 2.62/0.76 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 2.62/0.76 thf(func_def_184, type, atmost1p: $i > $o). 2.62/0.76 thf(func_def_185, type, atleast2p: $i > $o). 2.62/0.76 thf(func_def_186, type, atmost2p: $i > $o). 2.62/0.76 thf(func_def_187, type, upairsetp: $i > $o). 2.62/0.76 thf(func_def_191, type, kfst: $i > $i). 2.62/0.76 thf(func_def_203, type, ksnd: $i > $i). 2.62/0.76 thf(func_def_213, type, breln: $i > $i > $i > $o). 2.62/0.76 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 2.62/0.76 thf(func_def_237, type, sP4: $o > $i > $i > $i > $o). 2.62/0.76 thf(func_def_238, type, sP5: $i > $i > $i > $o). 2.62/0.76 thf(func_def_243, type, sP10: ($i > $o) > $i > $o). 2.62/0.76 thf(func_def_244, type, sP11: $i > ($i > $o) > $o). 2.62/0.76 thf(func_def_249, type, sP16: ($i > $o) > $i > $o). 2.62/0.76 thf(func_def_250, type, sP17: ($i > $o) > $i > $o). 2.62/0.76 thf(func_def_257, type, sP24: ($i > $i > $o) > $i > $o). 2.62/0.76 thf(func_def_259, type, sP26: $i > $i > $o). 2.62/0.76 thf(func_def_262, type, sP29: $o > $i > $i > $o). 2.62/0.76 thf(func_def_266, type, sP33: $i > $i > $o > $o). 2.62/0.76 thf(func_def_267, type, sP34: $i > $i > $i > $o). 2.62/0.76 thf(func_def_268, type, sP35: $i > $i > ($i > $o) > ($i > $o) > $o). 2.62/0.76 thf(func_def_269, type, sP36: $i > $i > $i > $o). 2.62/0.76 thf(func_def_270, type, sP37: $i > $i > $o). 2.62/0.76 thf(func_def_271, type, sP38: $i > $o). 2.62/0.76 thf(func_def_272, type, sP39: $i > $i > $o). 2.62/0.76 thf(func_def_273, type, sP40: $i > $i > $o). 2.62/0.76 thf(func_def_276, type, sP43: $i > $o). 2.62/0.76 thf(func_def_282, type, sK49: $i > $o). 2.62/0.76 thf(func_def_284, type, sK51: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_286, type, sK53: $i > $o). 2.62/0.76 thf(func_def_288, type, sK55: $i > $i). 2.62/0.76 thf(func_def_289, type, sK56: $i > $o). 2.62/0.76 thf(func_def_294, type, sK61: $i > $o). 2.62/0.76 thf(func_def_295, type, sK62: $i > $i). 2.62/0.76 thf(func_def_296, type, sK63: ($i > $o) > $i). 2.62/0.76 thf(func_def_298, type, sK65: $i > $i > $o). 2.62/0.76 thf(func_def_308, type, sK75: $i > $o). 2.62/0.76 thf(func_def_310, type, sK77: $i > ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_323, type, sK90: $i > $i > $i > $o). 2.62/0.76 thf(func_def_340, type, sK107: $i > $i > $i). 2.62/0.76 thf(func_def_346, type, sK113: $i > $i > $i). 2.62/0.76 thf(func_def_350, type, sK117: $i > $o). 2.62/0.76 thf(func_def_352, type, sK119: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_356, type, sK123: $i > $o). 2.62/0.76 thf(func_def_363, type, sK130: $i > $o). 2.62/0.76 thf(func_def_366, type, sK133: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_368, type, sK135: $i > $i). 2.62/0.76 thf(func_def_370, type, sK137: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_371, type, sK138: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_372, type, sK139: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_373, type, sK140: $i > $o). 2.62/0.76 thf(func_def_381, type, sK148: $i > $o). 2.62/0.76 thf(func_def_382, type, sK149: $i > $o). 2.62/0.76 thf(func_def_384, type, sK151: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_388, type, sK155: $o > $i > $i > $i). 2.62/0.76 thf(func_def_392, type, sK159: $i > $o). 2.62/0.76 thf(func_def_395, type, sK162: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_399, type, sK166: $i > $i). 2.62/0.76 thf(func_def_400, type, sK167: $i > $o). 2.62/0.76 thf(func_def_401, type, sK168: $i > $o). 2.62/0.76 thf(func_def_402, type, sK169: ($i > $o) > ($i > $o) > $i). 2.62/0.76 thf(func_def_403, type, sK170: ($i > $o) > ($i > $o) > $i). 2.62/0.76 thf(func_def_406, type, sK173: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_407, type, sK174: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_408, type, sK175: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_409, type, sK176: $i > $o). 2.62/0.76 thf(func_def_414, type, sK181: $i > $i > $o). 2.62/0.76 thf(func_def_423, type, sK190: $i > $i > $i > $i). 2.62/0.76 thf(func_def_424, type, sK191: $i > $i > $i > $i). 2.62/0.76 thf(func_def_430, type, sK197: $i > $i > $i). 2.62/0.76 thf(func_def_444, type, sK211: $i > $i). 2.62/0.76 thf(func_def_446, type, sK213: $i > $i). 2.62/0.76 thf(func_def_447, type, sK214: $i > $o). 2.62/0.76 thf(func_def_465, type, sK232: $i > $o). 2.62/0.76 thf(func_def_467, type, sK234: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_477, type, sK244: $i > $o). 2.62/0.76 thf(func_def_480, type, sK247: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_488, type, sK255: $i > $i > $o). 2.62/0.76 thf(func_def_500, type, sK267: $i > $i > $o). 2.62/0.76 thf(func_def_529, type, sK296: $i > $i > $i). 2.62/0.76 thf(func_def_540, type, sK307: $i > $i > $o). 2.62/0.76 thf(func_def_541, type, sK308: ($i > $i > $o) > $i > $i). 2.62/0.76 thf(func_def_542, type, sK309: $i > ($i > $i > $o) > $i > $i). 2.62/0.76 thf(func_def_543, type, sK310: $i > ($i > $i > $o) > $i > $i). 2.62/0.76 thf(func_def_544, type, sK311: ($i > $i > $o) > $i > $i). 2.62/0.76 thf(func_def_545, type, sK312: $i > ($i > $i > $o) > $i > $i). 2.62/0.76 thf(func_def_551, type, sK318: $i > $i > $o). 2.62/0.76 thf(func_def_571, type, sK338: $i > $i > $i). 2.62/0.76 thf(func_def_572, type, sK339: $i > $i > $i). 2.62/0.76 thf(func_def_575, type, sK342: $i > $o). 2.62/0.76 thf(func_def_577, type, sK344: ($i > $o) > $i). 2.62/0.76 thf(func_def_578, type, sK345: ($i > $o) > $i). 2.62/0.76 thf(func_def_579, type, sK346: $i > $o). 2.62/0.76 thf(func_def_618, type, sK385: $i > $o). 2.62/0.76 thf(func_def_620, type, sK387: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_623, type, sK390: $i > $o). 2.62/0.76 thf(func_def_624, type, sK391: $i > $i). 2.62/0.76 thf(func_def_625, type, sK392: ($i > $o) > $i). 2.62/0.76 thf(func_def_635, type, sK402: $i > $o). 2.62/0.76 thf(func_def_640, type, sK407: $i > $o). 2.62/0.76 thf(func_def_650, type, sK417: $i > $i > $i > $o). 2.62/0.76 thf(func_def_654, type, sK421: $i > $o). 2.62/0.76 thf(func_def_655, type, sK422: ($i > $o) > $i). 2.62/0.76 thf(func_def_656, type, sK423: $i > $i > ($i > $o) > ($i > $o) > $i). 2.62/0.76 thf(func_def_657, type, sK424: $i > $i > ($i > $o) > ($i > $o) > $i). 2.62/0.76 thf(func_def_660, type, sK427: $i > $o). 2.62/0.76 thf(func_def_661, type, sK428: $i > $o). 2.62/0.76 thf(func_def_663, type, sK430: $i > $i). 2.62/0.76 thf(func_def_664, type, sK431: $i > $i). 2.62/0.76 thf(func_def_665, type, sK432: $i > $i). 2.62/0.76 thf(func_def_666, type, sK433: $i > $i > $i). 2.62/0.76 thf(func_def_667, type, sK434: $i > $i > $i). 2.62/0.76 thf(func_def_668, type, sK435: $i > $i > $i). 2.62/0.76 thf(func_def_669, type, sK436: $i > $i > $i). 2.62/0.76 thf(func_def_670, type, sK437: $i > $i > $i). 2.62/0.76 thf(func_def_671, type, sK438: $i > $i > $i > $i). 2.62/0.76 thf(func_def_672, type, sK439: $i > $i). 2.62/0.76 thf(func_def_673, type, sK440: $i > $i). 2.62/0.76 thf(func_def_674, type, sK441: $i > $i). 2.62/0.76 thf(func_def_675, type, sK442: $i > $i). 2.62/0.76 thf(func_def_676, type, sK443: $i > $i > $i). 2.62/0.76 thf(func_def_677, type, sK444: $i > $i > $i). 2.62/0.76 thf(func_def_678, type, sK445: $i > $i > $i). 2.62/0.76 thf(func_def_679, type, sK446: $i > $i > $i > $i). 2.62/0.76 thf(func_def_680, type, sK447: $i > $i > $i > $i). 2.62/0.76 thf(func_def_698, type, sK465: $i > $i > $i). 2.62/0.76 thf(func_def_705, type, sK472: $i > $o). 2.62/0.76 thf(func_def_709, type, sK476: $i > $i). 2.62/0.76 thf(func_def_710, type, sK477: $i > $i). 2.62/0.76 thf(func_def_719, type, sK486: $i > $o). 2.62/0.76 thf(func_def_722, type, sK489: $i > $i). 2.62/0.76 thf(func_def_727, type, sK494: $i > $o). 2.62/0.76 thf(func_def_730, type, sK497: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_734, type, sK501: $i > $i > $i). 2.62/0.76 thf(func_def_737, type, sK504: $i > $i > $i). 2.62/0.76 thf(func_def_756, type, sK523: $i > $o). 2.62/0.76 thf(func_def_773, type, sK540: $i > $o). 2.62/0.76 thf(func_def_792, type, sK559: $i > $o). 2.62/0.76 thf(func_def_793, type, sK560: $i > $o). 2.62/0.76 thf(func_def_794, type, sK561: ($i > $o) > ($i > $o) > $i). 2.62/0.76 thf(func_def_795, type, sK562: ($i > $o) > ($i > $o) > $i). 2.62/0.76 thf(func_def_801, type, sK568: $i > $i > $i). 2.62/0.76 thf(func_def_805, type, sK572: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_806, type, sK573: $i > $i). 2.62/0.76 thf(func_def_807, type, sK574: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_808, type, sK575: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_809, type, sK576: $i > $i > ($i > $i > $o) > $i). 2.62/0.76 thf(func_def_810, type, sK577: ($i > $o) > $i). 2.62/0.76 thf(func_def_811, type, sK578: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_812, type, sK579: $i > $i). 2.62/0.76 thf(func_def_813, type, sK580: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_814, type, sK581: ($i > $o) > $i). 2.62/0.76 thf(func_def_815, type, sK582: $i > $i). 2.62/0.76 thf(func_def_816, type, sK583: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_817, type, sK584: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_818, type, sK585: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_819, type, sK586: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_822, type, sK589: ($i > $o) > $i). 2.62/0.76 thf(func_def_823, type, sK590: $i > $i). 2.62/0.76 thf(func_def_825, type, sK592: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_827, type, sK594: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_829, type, sK596: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_830, type, sK597: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_831, type, sK598: ($i > $o) > $i). 2.62/0.76 thf(func_def_832, type, sK599: $i > $i). 2.62/0.76 thf(func_def_833, type, sK600: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_834, type, sK601: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_835, type, sK602: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_836, type, sK603: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_837, type, sK604: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_838, type, sK605: ($i > $o) > $i). 2.62/0.76 thf(func_def_839, type, sK606: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_840, type, sK607: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_841, type, sK608: ($i > $o) > $i). 2.62/0.76 thf(func_def_842, type, sK609: $i > ($i > $o) > $i). 2.62/0.76 thf(func_def_843, type, sK610: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_844, type, sK611: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_845, type, sK612: $i > $i). 2.62/0.76 thf(func_def_846, type, sK613: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_847, type, sK614: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_848, type, sK615: $i > $i). 2.62/0.76 thf(func_def_849, type, sK616: $i > $i). 2.62/0.76 thf(func_def_853, type, sK620: ($i > $o) > $i). 2.62/0.76 thf(func_def_854, type, sK621: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_855, type, sK622: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_856, type, sK623: ($i > $o) > $i). 2.62/0.76 thf(func_def_857, type, sK624: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_858, type, sK625: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_859, type, sK626: ($i > $o) > $i). 2.62/0.76 thf(func_def_860, type, sK627: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_861, type, sK628: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_862, type, sK629: ($i > $o) > $i). 2.62/0.76 thf(func_def_863, type, sK630: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_864, type, sK631: ($i > $o) > $i > $i). 2.62/0.76 thf(func_def_865, type, sK632: ($i > $o) > $i). 2.62/0.76 thf(func_def_866, type, sK633: ($i > $o) > $i). 2.62/0.76 thf(func_def_867, type, sK634: ($i > $o) > $i). 2.62/0.76 thf(func_def_868, type, ph635: !>[X0: $tType]:(X0)). 2.62/0.76 thf(func_def_872, type, sK638: $i > $i > $i > ($i > $i > $o) > $i > $i). 2.62/0.76 thf(func_def_873, type, sK639: $i > $i > $i > ($i > $i > $o) > $i > $i). 2.62/0.76 thf(f7722,plain,( 2.62/0.76 $false), 2.62/0.76 inference(subsumption_resolution,[],[f7721,f2229])). 2.62/0.76 thf(f2229,plain,( 2.62/0.76 ((in @ sK254 @ sK256) != $true)), 2.62/0.76 inference(cnf_transformation,[],[f1266])). 2.62/0.76 thf(f1266,plain,( 2.62/0.76 (ex1I2 = $true) & (setukpairinjR12 = $true) & (setukpairinjL2 = $true) & (binintersectEL = $true) & (cartprodpairin = $true) & (ex1I = $true) & (setunionE = $true) & (exu__Cong = $true) & (exuE3e = $true) & (upairequniteq = $true) & (sepSubset = $true) & (notdexE = $true) & (subPowSU = $true) & (upairsetIL = $true) & (setadjoinAx = $true) & (omega__Cong = $true) & (setukpairIL = $true) & (setminusER = $true) & (powerset__Cong = $true) & (binunionE = $true) & (singletonsuniq = $true) & (descrp = $true) & (descr__Cong = $true) & (prop2setE = $true) & (powersetE = $true) & (setadjoinSub2 = $true) & (disjointsetsI1 = $true) & (setukpairinjL1 = $true) & (omegaIndAx = $true) & (emptysetAx = $true) & (subsetI1 = $true) & (prop2set2propI = $true) & (subsetE2 = $true) & (symdiffI2 = $true) & (setminusERneg = $true) & (setminusELneg = $true) & (inPowerset = $true) & (cartprodmempaircEq = $true) & (setunionsingleton1 = $true) & (binintersectSubset4 = $true) & (setextAx = $true) & (singletonsswitch = $true) & (binunionRsub = $true) & (setunionI = $true) & (quantDeMorgan2 = $true) & (emptysetimpfalse = $true) & (cartprodpairmemEL = $true) & (setbeta = $true) & (subsetemptysetimpeq = $true) & (subsetE = $true) & (omegaSAx = $true) & (setminusI = $true) & (ex1E1 = $true) & (ksndsingleton = $true) & (binunionEcases = $true) & (quantDeMorgan3 = $true) & (emptysetsubset = $true) & (setadjoinIR = $true) & (quantDeMorgan1 = $true) & (secondinupair = $true) & (in__Cong = $true) & (dsetconstrEL = $true) & (symdiffI1 = $true) & (cartprodfstin = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (upairset2IR = $true) & (setukpairinjR1 = $true) & (eqimpsubset1 = $true) & (kfstpairEq = $true) & (notinsingleton = $true) & (binintersectSubset3 = $true) & (exuEu = $true) & (quantDeMorgan4 = $true) & (ubforcartprodlem2 = $true) & (theprop = $true) & (cartprodmempair1 = $true) & (powersetE1 = $true) & (powersetI = $true) & (singletoninpowunion = $true) & (powersetsubset = $true) & (setoftrueEq = $true) & (setunionAx = $true) & (singletonsubset = $true) & (bs114d = $true) & (setminusEL = $true) & (((in @ sK254 @ sK256) != $true) & ((in @ (kpair @ sK254 @ sK257) @ (dpsetconstr @ sK256 @ sK253 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK255 @ Y0 @ Y1)))))) = $true)) & (setadjoin__Cong = $true) & (exuE3u = $true) & (symdiffIneg2 = $true) & (eqinunit = $true) & (emptyInPowerset = $true) & (powersetAx = $true) & (kpairiskpair = $true) & (upairsetE = $true) & (setOfPairsIsBReln = $true) & (setminusIRneg = $true) & (noeltsimpempty = $true) & (setext = $true) & (notsubsetI = $true) & (setadjoinSub = $true) & (setunionsingleton2 = $true) & (binunionIR = $true) & (setukpairinjL = $true) & (subset2powerset = $true) & (binunionLsub = $true) & (setunionsingleton = $true) & (wellorderingAx = $true) & (binintersectSubset2 = $true) & (setminusSubset2 = $true) & (notinemptyset = $true) & (emptyset__Cong = $true) & (nonemptyImpWitness = $true) & (exuI3 = $true) & (dpsetconstrERa = $true) & (sepInPowerset = $true) & (dsetconstrI = $true) & (cartprodsndin = $true) & (binintersectSubset5 = $true) & (cartprodpairsurjEq = $true) & (binintersectI = $true) & (cartprodfstpairEq = $true) & (ubforcartprodlem3 = $true) & (upairinpowunion = $true) & (uniqinunit = $true) & (replAx = $true) & (exuE2 = $true) & (setminusLsub = $true) & (cartprodmempair = $true) & (kpairsurjEq = $true) & (singletonprop = $true) & (setminusILneg = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (setunion__Cong = $true) & (kpairp = $true) & (upairset2E = $true) & (eqimpsubset2 = $true) & (inCongP = $true) & (cartprodpairmemER = $true) & (setadjoinE = $true) & (notequalI1 = $true) & (exuE1 = $true) & (emptyI = $true) & (subsetTrans = $true) & (setadjoinIL = $true) & (notequalI2 = $true) & (binunionIL = $true) & (ksndpairEq = $true) & (exuI2 = $true) & (symdiffE = $true) & (nonemptyI = $true) & (dpsetconstrSub = $true) & (emptyE1 = $true) & (setadjoinOr = $true) & (binintersectER = $true) & (emptyinPowerset = $true) & (setextsub = $true) & (symdiffIneg1 = $true) & (nonemptyI1 = $true) & (omega0Ax = $true) & (upairsubunion = $true) & (subsetRefl = $true) & (subsetI2 = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (setukpairinjR11 = $true) & (dsetconstrER = $true) & (cartprodsndpairEq = $true) & (emptysetE = $true) & (prop2setI = $true) & (powersetI1 = $true) & (dsetconstr__Cong = $true) & (nonemptyE1 = $true) & (singletoninpowerset = $true) & (setukpairIR = $true) & (setunionE2 = $true) & (setminusSubset1 = $true) & (ubforcartprodlem1 = $true) & (foundationAx = $true) & (setukpairinjR2 = $true) & (dpsetconstrI = $true) & (setukpairinjR = $true) & (kfstsingleton = $true) & (exuI1 = $true) & (vacuousDall = $true)), 2.62/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK253,sK254,sK255,sK256,sK257])],[f655,f1265])). 2.62/0.76 thf(f1265,plain,( 2.62/0.76 ? [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ X1 @ X3) != $true) & ($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X3 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))))) => (((in @ sK254 @ sK256) != $true) & ((in @ (kpair @ sK254 @ sK257) @ (dpsetconstr @ sK256 @ sK253 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK255 @ Y0 @ Y1)))))) = $true))), 2.62/0.76 introduced(choice_axiom,[])). 2.62/0.76 thf(f655,plain,( 2.62/0.76 (ex1I2 = $true) & (setukpairinjR12 = $true) & (setukpairinjL2 = $true) & (binintersectEL = $true) & (cartprodpairin = $true) & (ex1I = $true) & (setunionE = $true) & (exu__Cong = $true) & (exuE3e = $true) & (upairequniteq = $true) & (sepSubset = $true) & (notdexE = $true) & (subPowSU = $true) & (upairsetIL = $true) & (setadjoinAx = $true) & (omega__Cong = $true) & (setukpairIL = $true) & (setminusER = $true) & (powerset__Cong = $true) & (binunionE = $true) & (singletonsuniq = $true) & (descrp = $true) & (descr__Cong = $true) & (prop2setE = $true) & (powersetE = $true) & (setadjoinSub2 = $true) & (disjointsetsI1 = $true) & (setukpairinjL1 = $true) & (omegaIndAx = $true) & (emptysetAx = $true) & (subsetI1 = $true) & (prop2set2propI = $true) & (subsetE2 = $true) & (symdiffI2 = $true) & (setminusERneg = $true) & (setminusELneg = $true) & (inPowerset = $true) & (cartprodmempaircEq = $true) & (setunionsingleton1 = $true) & (binintersectSubset4 = $true) & (setextAx = $true) & (singletonsswitch = $true) & (binunionRsub = $true) & (setunionI = $true) & (quantDeMorgan2 = $true) & (emptysetimpfalse = $true) & (cartprodpairmemEL = $true) & (setbeta = $true) & (subsetemptysetimpeq = $true) & (subsetE = $true) & (omegaSAx = $true) & (setminusI = $true) & (ex1E1 = $true) & (ksndsingleton = $true) & (binunionEcases = $true) & (quantDeMorgan3 = $true) & (emptysetsubset = $true) & (setadjoinIR = $true) & (quantDeMorgan1 = $true) & (secondinupair = $true) & (in__Cong = $true) & (dsetconstrEL = $true) & (symdiffI1 = $true) & (cartprodfstin = $true) & (binintersectLsub = $true) & (binintersectSubset1 = $true) & (upairset2IR = $true) & (setukpairinjR1 = $true) & (eqimpsubset1 = $true) & (kfstpairEq = $true) & (notinsingleton = $true) & (binintersectSubset3 = $true) & (exuEu = $true) & (quantDeMorgan4 = $true) & (ubforcartprodlem2 = $true) & (theprop = $true) & (cartprodmempair1 = $true) & (powersetE1 = $true) & (powersetI = $true) & (singletoninpowunion = $true) & (powersetsubset = $true) & (setoftrueEq = $true) & (setunionAx = $true) & (singletonsubset = $true) & (bs114d = $true) & (setminusEL = $true) & ? [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ X1 @ X3) != $true) & ($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X3 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))))) & (setadjoin__Cong = $true) & (exuE3u = $true) & (symdiffIneg2 = $true) & (eqinunit = $true) & (emptyInPowerset = $true) & (powersetAx = $true) & (kpairiskpair = $true) & (upairsetE = $true) & (setOfPairsIsBReln = $true) & (setminusIRneg = $true) & (noeltsimpempty = $true) & (setext = $true) & (notsubsetI = $true) & (setadjoinSub = $true) & (setunionsingleton2 = $true) & (binunionIR = $true) & (setukpairinjL = $true) & (subset2powerset = $true) & (binunionLsub = $true) & (setunionsingleton = $true) & (wellorderingAx = $true) & (binintersectSubset2 = $true) & (setminusSubset2 = $true) & (notinemptyset = $true) & (emptyset__Cong = $true) & (nonemptyImpWitness = $true) & (exuI3 = $true) & (dpsetconstrERa = $true) & (sepInPowerset = $true) & (dsetconstrI = $true) & (cartprodsndin = $true) & (binintersectSubset5 = $true) & (cartprodpairsurjEq = $true) & (binintersectI = $true) & (cartprodfstpairEq = $true) & (ubforcartprodlem3 = $true) & (upairinpowunion = $true) & (uniqinunit = $true) & (replAx = $true) & (exuE2 = $true) & (setminusLsub = $true) & (cartprodmempair = $true) & (kpairsurjEq = $true) & (singletonprop = $true) & (setminusILneg = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (setunion__Cong = $true) & (kpairp = $true) & (upairset2E = $true) & (eqimpsubset2 = $true) & (inCongP = $true) & (cartprodpairmemER = $true) & (setadjoinE = $true) & (notequalI1 = $true) & (exuE1 = $true) & (emptyI = $true) & (subsetTrans = $true) & (setadjoinIL = $true) & (notequalI2 = $true) & (binunionIL = $true) & (ksndpairEq = $true) & (exuI2 = $true) & (symdiffE = $true) & (nonemptyI = $true) & (dpsetconstrSub = $true) & (emptyE1 = $true) & (setadjoinOr = $true) & (binintersectER = $true) & (emptyinPowerset = $true) & (setextsub = $true) & (symdiffIneg1 = $true) & (nonemptyI1 = $true) & (omega0Ax = $true) & (upairsubunion = $true) & (subsetRefl = $true) & (subsetI2 = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (setukpairinjR11 = $true) & (dsetconstrER = $true) & (cartprodsndpairEq = $true) & (emptysetE = $true) & (prop2setI = $true) & (powersetI1 = $true) & (dsetconstr__Cong = $true) & (nonemptyE1 = $true) & (singletoninpowerset = $true) & (setukpairIR = $true) & (setunionE2 = $true) & (setminusSubset1 = $true) & (ubforcartprodlem1 = $true) & (foundationAx = $true) & (setukpairinjR2 = $true) & (dpsetconstrI = $true) & (setukpairinjR = $true) & (kfstsingleton = $true) & (exuI1 = $true) & (vacuousDall = $true)), 2.62/0.76 inference(flattening,[],[f654])). 2.62/0.76 thf(f654,plain,( 2.62/0.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2 : $i > $i > $o,X3,X4] : (((in @ X1 @ X3) != $true) & ($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X3 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1)))))))) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (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)), 2.62/0.76 inference(ennf_transformation,[],[f494])). 2.62/0.76 thf(f494,plain,( 2.62/0.76 ~((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) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ! [X0,X1,X2 : $i > $i > $o,X3,X4] : (($true = (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X3 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ Y0 @ Y1))))))) => ((in @ X1 @ X3) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.62/0.76 inference(fool_elimination,[],[f493])). 2.62/0.76 thf(f493,plain,( 2.62/0.76 ~(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 => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => ! [X0,X1,X2 : $i > $i > $o,X3,X4] : ((in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X3 @ X0 @ (^[X5 : $i, X6 : $i] : (X2 @ X5 @ X6)))) => (in @ X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.62/0.76 inference(rectify,[],[f193])). 2.62/0.76 thf(f193,negated_conjecture,( 2.62/0.76 ~(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 => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => ! [X4,X1,X0 : $i > $i > $o,X3,X2] : ((in @ (kpair @ X1 @ X2) @ (dpsetconstr @ X3 @ X4 @ (^[X8 : $i, X10 : $i] : (X0 @ X8 @ X10)))) => (in @ X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.62/0.76 inference(negated_conjecture,[],[f192])). 2.62/0.76 thf(f192,conjecture,( 2.62/0.76 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 => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => ! [X4,X1,X0 : $i > $i > $o,X3,X2] : ((in @ (kpair @ X1 @ X2) @ (dpsetconstr @ X3 @ X4 @ (^[X8 : $i, X10 : $i] : (X0 @ X8 @ X10)))) => (in @ X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.62/0.76 file('/export/starexec/sandbox2/tmp/tmp.Q8jMGxgnXj/Vampire---4.8_16496',dpsetconstrEL1)). 2.62/0.76 thf(f7721,plain,( 2.62/0.76 ((in @ sK254 @ sK256) = $true)), 2.62/0.76 inference(forward_demodulation,[],[f7718,f3705])). 2.62/0.76 thf(f3705,plain,( 2.62/0.76 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X1 @ X0)) = X1)) )), 2.62/0.76 inference(trivial_inequality_removal,[],[f2808])). 2.62/0.76 thf(f2808,plain,( 2.62/0.76 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X1 @ X0)) = X1) | ($true != $true)) )), 2.62/0.76 inference(definition_unfolding,[],[f1852,f2246])). 2.62/0.76 thf(f2246,plain,( 2.62/0.76 (kfstpairEq = $true)), 2.62/0.76 inference(cnf_transformation,[],[f1266])). 2.62/0.76 thf(f1852,plain,( 2.62/0.76 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) )), 2.62/0.76 inference(cnf_transformation,[],[f947])). 2.62/0.76 thf(f947,plain,( 2.62/0.76 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | (sK81 != (kfst @ (kpair @ sK81 @ sK80))))), 2.62/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f945,f946])). 2.62/0.76 thf(f946,plain,( 2.62/0.76 ? [X2,X3] : ((kfst @ (kpair @ X3 @ X2)) != X3) => (sK81 != (kfst @ (kpair @ sK81 @ sK80)))), 2.62/0.76 introduced(choice_axiom,[])). 2.62/0.76 thf(f945,plain,( 2.62/0.76 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ? [X2,X3] : ((kfst @ (kpair @ X3 @ X2)) != X3))), 2.62/0.76 inference(rectify,[],[f944])). 2.62/0.76 thf(f944,plain,( 2.62/0.76 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ? [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) != X1))), 2.62/0.76 inference(nnf_transformation,[],[f498])). 2.62/0.76 thf(f498,plain,( 2.62/0.76 ! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) <=> (kfstpairEq = $true)), 2.62/0.76 inference(fool_elimination,[],[f497])). 2.62/0.76 thf(f497,plain,( 2.62/0.76 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) = kfstpairEq)), 2.62/0.76 inference(rectify,[],[f166])). 2.62/0.76 thf(f166,axiom,( 2.62/0.76 (! [X2,X1] : ((kfst @ (kpair @ X1 @ X2)) = X1) = kfstpairEq)), 2.62/0.76 file('/export/starexec/sandbox2/tmp/tmp.Q8jMGxgnXj/Vampire---4.8_16496',kfstpairEq)). 2.62/0.76 thf(f7718,plain,( 2.62/0.76 ((in @ (kfst @ (kpair @ sK254 @ sK257)) @ sK256) = $true)), 2.62/0.76 inference(trivial_inequality_removal,[],[f7698])). 2.62/0.76 thf(f7698,plain,( 2.62/0.76 ((in @ (kfst @ (kpair @ sK254 @ sK257)) @ sK256) = $true) | ($true != $true)), 2.62/0.76 inference(superposition,[],[f3675,f6571])). 2.62/0.76 thf(f6571,plain,( 2.62/0.76 ((in @ (kpair @ sK254 @ sK257) @ (cartprod @ sK256 @ sK253)) = $true)), 2.62/0.76 inference(trivial_inequality_removal,[],[f6566])). 2.62/0.76 thf(f6566,plain,( 2.62/0.76 ((in @ (kpair @ sK254 @ sK257) @ (cartprod @ sK256 @ sK253)) = $true) | ($true != $true)), 2.62/0.76 inference(superposition,[],[f3469,f3595])). 2.62/0.76 thf(f3595,plain,( 2.62/0.76 ((in @ (kpair @ sK254 @ sK257) @ (dsetconstr @ (cartprod @ sK256 @ sK253) @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((((kpair @ Y1 @ Y2) = Y0) & (in @ Y2 @ sK253)) & (sK255 @ Y1 @ Y2)))) & (in @ Y1 @ sK256))))))) = $true)), 2.62/0.76 inference(beta_eta_normalization,[],[f2999])). 2.62/0.76 thf(f2999,plain,( 2.62/0.76 ($true = (in @ (kpair @ sK254 @ sK257) @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (dsetconstr @ (cartprod @ Y0 @ Y1) @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((((kpair @ Y4 @ Y5) = Y3) & (in @ Y5 @ Y1)) & (Y2 @ Y4 @ Y5)))) & (in @ Y4 @ Y0))))))))))) @ sK256 @ sK253 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK255 @ Y0 @ Y1)))))))), 2.62/0.76 inference(definition_unfolding,[],[f2228,f1908])). 2.62/0.76 thf(f1908,plain,( 2.62/0.76 (dpsetconstr = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (dsetconstr @ (cartprod @ Y0 @ Y1) @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((((kpair @ Y4 @ Y5) = Y3) & (in @ Y5 @ Y1)) & (Y2 @ Y4 @ Y5)))) & (in @ Y4 @ Y0))))))))))))), 2.62/0.76 inference(cnf_transformation,[],[f490])). 2.62/0.76 thf(f490,plain,( 2.62/0.76 (dpsetconstr = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (dsetconstr @ (cartprod @ Y0 @ Y1) @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((((kpair @ Y4 @ Y5) = Y3) & (in @ Y5 @ Y1)) & (Y2 @ Y4 @ Y5)))) & (in @ Y4 @ Y0))))))))))))), 2.62/0.76 inference(fool_elimination,[],[f489])). 2.62/0.76 thf(f489,plain,( 2.62/0.76 (dpsetconstr = (^[X0 : $i, X1 : $i, X2 : $i > $i > $o] : (dsetconstr @ (cartprod @ X0 @ X1) @ (^[X3 : $i] : (? [X4] : ((in @ X4 @ X0) & ? [X5] : ((X2 @ X4 @ X5) & (in @ X5 @ X1) & ((kpair @ X4 @ X5) = X3))))))))), 2.62/0.76 inference(rectify,[],[f187])). 2.62/0.76 thf(f187,axiom,( 2.62/0.76 (dpsetconstr = (^[X3 : $i, X4 : $i, X0 : $i > $i > $o] : (dsetconstr @ (cartprod @ X3 @ X4) @ (^[X10 : $i] : (? [X1] : ((in @ X1 @ X3) & ? [X2] : ((X0 @ X1 @ X2) & (in @ X2 @ X4) & ((kpair @ X1 @ X2) = X10))))))))), 2.62/0.76 file('/export/starexec/sandbox2/tmp/tmp.Q8jMGxgnXj/Vampire---4.8_16496',dpsetconstr)). 2.62/0.76 thf(f2228,plain,( 2.62/0.76 ((in @ (kpair @ sK254 @ sK257) @ (dpsetconstr @ sK256 @ sK253 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK255 @ Y0 @ Y1)))))) = $true)), 2.62/0.76 inference(cnf_transformation,[],[f1266])). 2.62/0.76 thf(f3469,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ X5))) | ($true = (in @ X3 @ X4))) )), 2.62/0.76 inference(beta_eta_normalization,[],[f3468])). 2.62/0.76 thf(f3468,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4))) )), 2.62/0.76 inference(trivial_inequality_removal,[],[f2886])). 2.62/0.76 thf(f2886,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4)) | ($true != $true)) )), 2.62/0.76 inference(definition_unfolding,[],[f1964,f2254])). 2.62/0.76 thf(f2254,plain,( 2.62/0.76 (dsetconstrEL = $true)), 2.62/0.76 inference(cnf_transformation,[],[f1266])). 2.62/0.76 thf(f1964,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4)) | (dsetconstrEL != $true)) )), 2.62/0.76 inference(cnf_transformation,[],[f1078])). 2.62/0.76 thf(f1078,plain,( 2.62/0.76 ((dsetconstrEL = $true) | (((in @ sK146 @ (dsetconstr @ sK147 @ (^[Y0 : $i]: (sK148 @ Y0)))) = $true) & ((in @ sK146 @ sK147) != $true))) & (! [X3,X4,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4))) | (dsetconstrEL != $true))), 2.62/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK146,sK147,sK148])],[f1076,f1077])). 2.62/0.76 thf(f1077,plain,( 2.62/0.76 ? [X0,X1,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) & ($true != (in @ X0 @ X1))) => (((in @ sK146 @ (dsetconstr @ sK147 @ (^[Y0 : $i]: (sK148 @ Y0)))) = $true) & ((in @ sK146 @ sK147) != $true))), 2.62/0.76 introduced(choice_axiom,[])). 2.62/0.76 thf(f1076,plain,( 2.62/0.76 ((dsetconstrEL = $true) | ? [X0,X1,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) & ($true != (in @ X0 @ X1)))) & (! [X3,X4,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4))) | (dsetconstrEL != $true))), 2.62/0.76 inference(rectify,[],[f1075])). 2.62/0.76 thf(f1075,plain,( 2.62/0.76 ((dsetconstrEL = $true) | ? [X0,X1,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) & ($true != (in @ X0 @ X1)))) & (! [X0,X1,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true) | ($true = (in @ X0 @ X1))) | (dsetconstrEL != $true))), 2.62/0.76 inference(nnf_transformation,[],[f722])). 2.62/0.76 thf(f722,plain,( 2.62/0.76 (dsetconstrEL = $true) <=> ! [X0,X1,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true) | ($true = (in @ X0 @ X1)))), 2.62/0.76 inference(ennf_transformation,[],[f416])). 2.62/0.76 thf(f416,plain,( 2.62/0.76 ! [X0,X1,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) => ($true = (in @ X0 @ X1))) <=> (dsetconstrEL = $true)), 2.62/0.76 inference(fool_elimination,[],[f415])). 2.62/0.76 thf(f415,plain,( 2.62/0.76 (! [X0,X1,X2 : $i > $o] : ((in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))) => (in @ X0 @ X1)) = dsetconstrEL)), 2.62/0.76 inference(rectify,[],[f15])). 2.62/0.76 thf(f15,axiom,( 2.62/0.76 (! [X1,X3,X0 : $i > $o] : ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) => (in @ X1 @ X3)) = dsetconstrEL)), 2.62/0.76 file('/export/starexec/sandbox2/tmp/tmp.Q8jMGxgnXj/Vampire---4.8_16496',dsetconstrEL)). 2.62/0.76 thf(f3675,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (cartprod @ X3 @ X5))) | ($true = (in @ (kfst @ X4) @ X3))) )), 2.62/0.76 inference(trivial_inequality_removal,[],[f3035])). 2.62/0.76 thf(f3035,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ (kfst @ X4) @ X3)) | ($true != $true) | ($true != (in @ X4 @ (cartprod @ X3 @ X5)))) )), 2.62/0.76 inference(definition_unfolding,[],[f2348,f2252])). 2.62/0.76 thf(f2252,plain,( 2.62/0.76 (cartprodfstin = $true)), 2.62/0.76 inference(cnf_transformation,[],[f1266])). 2.62/0.76 thf(f2348,plain,( 2.62/0.76 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (cartprod @ X3 @ X5))) | ($true = (in @ (kfst @ X4) @ X3)) | (cartprodfstin != $true)) )), 2.62/0.76 inference(cnf_transformation,[],[f1314])). 2.62/0.76 thf(f1314,plain,( 2.62/0.76 ((cartprodfstin = $true) | (((in @ sK289 @ (cartprod @ sK288 @ sK290)) = $true) & ((in @ (kfst @ sK289) @ sK288) != $true))) & (! [X3,X4,X5] : (($true != (in @ X4 @ (cartprod @ X3 @ X5))) | ($true = (in @ (kfst @ X4) @ X3))) | (cartprodfstin != $true))), 2.62/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK288,sK289,sK290])],[f1312,f1313])). 2.62/0.76 thf(f1313,plain,( 2.62/0.76 ? [X0,X1,X2] : (($true = (in @ X1 @ (cartprod @ X0 @ X2))) & ($true != (in @ (kfst @ X1) @ X0))) => (((in @ sK289 @ (cartprod @ sK288 @ sK290)) = $true) & ((in @ (kfst @ sK289) @ sK288) != $true))), 2.62/0.76 introduced(choice_axiom,[])). 2.62/0.76 thf(f1312,plain,( 2.62/0.76 ((cartprodfstin = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ (cartprod @ X0 @ X2))) & ($true != (in @ (kfst @ X1) @ X0)))) & (! [X3,X4,X5] : (($true != (in @ X4 @ (cartprod @ X3 @ X5))) | ($true = (in @ (kfst @ X4) @ X3))) | (cartprodfstin != $true))), 2.62/0.76 inference(rectify,[],[f1311])). 2.62/0.76 thf(f1311,plain,( 2.62/0.76 ((cartprodfstin = $true) | ? [X0,X1,X2] : (($true = (in @ X1 @ (cartprod @ X0 @ X2))) & ($true != (in @ (kfst @ X1) @ X0)))) & (! [X0,X1,X2] : (($true != (in @ X1 @ (cartprod @ X0 @ X2))) | ($true = (in @ (kfst @ X1) @ X0))) | (cartprodfstin != $true))), 2.62/0.76 inference(nnf_transformation,[],[f783])). 2.62/0.76 thf(f783,plain,( 2.62/0.76 (cartprodfstin = $true) <=> ! [X0,X1,X2] : (($true != (in @ X1 @ (cartprod @ X0 @ X2))) | ($true = (in @ (kfst @ X1) @ X0)))), 2.62/0.76 inference(ennf_transformation,[],[f460])). 2.62/0.76 thf(f460,plain,( 2.62/0.76 (cartprodfstin = $true) <=> ! [X0,X1,X2] : (($true = (in @ X1 @ (cartprod @ X0 @ X2))) => ($true = (in @ (kfst @ X1) @ X0)))), 2.62/0.76 inference(fool_elimination,[],[f459])). 2.62/0.76 thf(f459,plain,( 2.62/0.76 (! [X0,X1,X2] : ((in @ X1 @ (cartprod @ X0 @ X2)) => (in @ (kfst @ X1) @ X0)) = cartprodfstin)), 2.62/0.76 inference(rectify,[],[f167])). 2.62/0.76 thf(f167,axiom,( 2.62/0.76 (! [X3,X10,X4] : ((in @ X10 @ (cartprod @ X3 @ X4)) => (in @ (kfst @ X10) @ X3)) = cartprodfstin)), 2.62/0.76 file('/export/starexec/sandbox2/tmp/tmp.Q8jMGxgnXj/Vampire---4.8_16496',cartprodfstin)). 2.62/0.76 % SZS output end Proof for Vampire---4 2.62/0.76 % (16615)------------------------------ 2.62/0.76 % (16615)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.62/0.76 % (16615)Termination reason: Refutation 2.62/0.76 2.62/0.76 % (16615)Memory used [KB]: 10490 2.62/0.76 % (16615)Time elapsed: 0.323 s 2.62/0.76 % (16615)Instructions burned: 780 (million) 2.62/0.76 % (16615)------------------------------ 2.62/0.76 % (16615)------------------------------ 2.62/0.76 % (16604)Success in time 0.363 s 2.62/0.76 % Vampire---4.8 exiting 2.62/0.76 EOF