0.11/0.15 % Problem : Vampire---4.8_19480 : TPTP v0.0.0. Released v0.0.0. 0.11/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.17/0.37 % Computer : n017.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 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 12:21:08 EDT 2023 0.17/0.38 % 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.rY7QwN1lvG/Vampire---4.8_19480 -m 12000 -t 180 0.17/0.41 % (19591)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 % (19589)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.17/0.41 % (19593)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 % (19590)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 % (19594)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 % (19595)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) 0.24/0.41 % (19595)Instruction limit reached! 0.24/0.41 % (19595)------------------------------ 0.24/0.41 % (19595)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.41 % (19595)Termination reason: Unknown 0.24/0.41 % (19595)Termination phase: shuffling 0.24/0.41 0.24/0.41 % (19595)Memory used [KB]: 1407 0.24/0.41 % (19595)Time elapsed: 0.005 s 0.24/0.41 % (19595)Instructions burned: 5 (million) 0.24/0.41 % (19595)------------------------------ 0.24/0.41 % (19595)------------------------------ 0.24/0.42 % (19592)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) 0.24/0.42 % (19596)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) 0.24/0.42 % (19593)Instruction limit reached! 0.24/0.42 % (19593)------------------------------ 0.24/0.42 % (19593)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.42 % (19593)Termination reason: Unknown 0.24/0.42 % (19593)Termination phase: shuffling 0.24/0.42 0.24/0.42 % (19593)Memory used [KB]: 1663 0.24/0.42 % (19593)Time elapsed: 0.011 s 0.24/0.42 % (19593)Instructions burned: 18 (million) 0.24/0.42 % (19593)------------------------------ 0.24/0.42 % (19593)------------------------------ 0.24/0.43 % (19590)Instruction limit reached! 0.24/0.43 % (19590)------------------------------ 0.24/0.43 % (19590)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.43 % (19590)Termination reason: Unknown 0.24/0.43 % (19590)Termination phase: Property scanning 0.24/0.43 0.24/0.43 % (19590)Memory used [KB]: 1791 0.24/0.43 % (19590)Time elapsed: 0.019 s 0.24/0.43 % (19590)Instructions burned: 36 (million) 0.24/0.43 % (19590)------------------------------ 0.24/0.43 % (19590)------------------------------ 0.24/0.43 % (19597)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 % (19598)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 % (19598)Instruction limit reached! 0.24/0.44 % (19598)------------------------------ 0.24/0.44 % (19598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (19598)Termination reason: Unknown 0.24/0.44 % (19598)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (19598)Memory used [KB]: 1407 0.24/0.44 % (19598)Time elapsed: 0.006 s 0.24/0.44 % (19598)Instructions burned: 8 (million) 0.24/0.44 % (19598)------------------------------ 0.24/0.44 % (19598)------------------------------ 0.24/0.44 % (19591)Instruction limit reached! 0.24/0.44 % (19591)------------------------------ 0.24/0.44 % (19591)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (19591)Termination reason: Unknown 0.24/0.44 % (19591)Termination phase: Property scanning 0.24/0.44 0.24/0.44 % (19591)Memory used [KB]: 1791 0.24/0.44 % (19591)Time elapsed: 0.020 s 0.24/0.44 % (19591)Instructions burned: 34 (million) 0.24/0.44 % (19591)------------------------------ 0.24/0.44 % (19591)------------------------------ 0.24/0.44 % (19597)Instruction limit reached! 0.24/0.44 % (19597)------------------------------ 0.24/0.44 % (19597)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.44 % (19597)Termination reason: Unknown 0.24/0.44 % (19597)Termination phase: shuffling 0.24/0.44 0.24/0.44 % (19597)Memory used [KB]: 1791 0.24/0.44 % (19597)Time elapsed: 0.013 s 0.24/0.44 % (19597)Instructions burned: 22 (million) 0.24/0.44 % (19597)------------------------------ 0.24/0.44 % (19597)------------------------------ 0.24/0.44 % (19599)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) 0.24/0.45 % (19594)Instruction limit reached! 0.24/0.45 % (19594)------------------------------ 0.24/0.45 % (19594)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.45 % (19594)Termination reason: Unknown 0.24/0.45 % (19594)Termination phase: Property scanning 0.24/0.45 0.24/0.45 % (19594)Memory used [KB]: 2046 0.24/0.45 % (19594)Time elapsed: 0.036 s 0.24/0.45 % (19594)Instructions burned: 75 (million) 0.24/0.45 % (19594)------------------------------ 0.24/0.45 % (19594)------------------------------ 0.24/0.45 % (19601)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 % (19600)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) 0.24/0.45 % (19602)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) 0.24/0.46 % (19601)Instruction limit reached! 0.24/0.46 % (19601)------------------------------ 0.24/0.46 % (19601)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.46 % (19601)Termination reason: Unknown 0.24/0.46 % (19601)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (19601)Memory used [KB]: 1535 0.24/0.46 % (19601)Time elapsed: 0.004 s 0.24/0.46 % (19601)Instructions burned: 9 (million) 0.24/0.46 % (19601)------------------------------ 0.24/0.46 % (19601)------------------------------ 0.24/0.46 % (19589)Instruction limit reached! 0.24/0.46 % (19589)------------------------------ 0.24/0.46 % (19589)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.46 % (19589)Termination reason: Unknown 0.24/0.46 % (19589)Termination phase: Saturation 0.24/0.46 0.24/0.46 % (19589)Memory used [KB]: 6524 0.24/0.46 % (19589)Time elapsed: 0.047 s 0.24/0.46 % (19589)Instructions burned: 96 (million) 0.24/0.46 % (19589)------------------------------ 0.24/0.46 % (19589)------------------------------ 0.24/0.46 % (19603)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) 0.24/0.46 % (19604)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.24/0.48 % (19604)Instruction limit reached! 0.24/0.48 % (19604)------------------------------ 0.24/0.48 % (19604)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.48 % (19604)Termination reason: Unknown 0.24/0.48 % (19604)Termination phase: Property scanning 0.24/0.48 0.24/0.48 % (19604)Memory used [KB]: 2942 0.24/0.48 % (19604)Time elapsed: 0.020 s 0.24/0.48 % (19604)Instructions burned: 64 (million) 0.24/0.48 % (19604)------------------------------ 0.24/0.48 % (19604)------------------------------ 0.24/0.49 % (19600)Instruction limit reached! 0.24/0.49 % (19600)------------------------------ 0.24/0.49 % (19600)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.49 % (19600)Termination reason: Unknown 0.24/0.49 % (19600)Termination phase: Property scanning 0.24/0.49 0.24/0.49 % (19600)Memory used [KB]: 2046 0.24/0.49 % (19600)Time elapsed: 0.035 s 0.24/0.49 % (19600)Instructions burned: 71 (million) 0.24/0.49 % (19600)------------------------------ 0.24/0.49 % (19600)------------------------------ 0.24/0.49 % (19606)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 % (19606)Instruction limit reached! 0.24/0.49 % (19606)------------------------------ 0.24/0.49 % (19606)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.49 % (19606)Termination reason: Unknown 0.24/0.49 % (19606)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (19606)Memory used [KB]: 1279 0.24/0.49 % (19606)Time elapsed: 0.002 s 0.24/0.49 % (19606)Instructions burned: 2 (million) 0.24/0.49 % (19606)------------------------------ 0.24/0.49 % (19606)------------------------------ 0.24/0.50 % (19608)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 (1799ds/11Mi) 0.24/0.50 % (19605)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.24/0.50 % (19607)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 % (19608)Instruction limit reached! 0.24/0.50 % (19608)------------------------------ 0.24/0.50 % (19608)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.50 % (19608)Termination reason: Unknown 0.24/0.50 % (19608)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (19608)Memory used [KB]: 1535 0.24/0.50 % (19608)Time elapsed: 0.005 s 0.24/0.50 % (19608)Instructions burned: 13 (million) 0.24/0.50 % (19608)------------------------------ 0.24/0.50 % (19608)------------------------------ 0.24/0.51 % (19605)Instruction limit reached! 0.24/0.51 % (19605)------------------------------ 0.24/0.51 % (19605)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.51 % (19605)Termination reason: Unknown 0.24/0.51 % (19605)Termination phase: shuffling 0.24/0.51 0.24/0.51 % (19605)Memory used [KB]: 1535 0.24/0.51 % (19605)Time elapsed: 0.012 s 0.24/0.51 % (19605)Instructions burned: 14 (million) 0.24/0.51 % (19605)------------------------------ 0.24/0.51 % (19605)------------------------------ 0.24/0.51 % (19609)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 % (19603)Instruction limit reached! 0.24/0.52 % (19603)------------------------------ 0.24/0.52 % (19603)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.52 % (19603)Termination reason: Unknown 0.24/0.52 % (19603)Termination phase: Saturation 0.24/0.52 0.24/0.52 % (19603)Memory used [KB]: 6908 0.24/0.52 % (19603)Time elapsed: 0.062 s 0.24/0.52 % (19603)Instructions burned: 129 (million) 0.24/0.52 % (19603)------------------------------ 0.24/0.52 % (19603)------------------------------ 0.24/0.52 % (19610)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) 0.24/0.53 % (19611)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) 0.24/0.53 % (19610)Instruction limit reached! 0.24/0.53 % (19610)------------------------------ 0.24/0.53 % (19610)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.53 % (19610)Termination reason: Unknown 0.24/0.53 % (19610)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (19610)Memory used [KB]: 1791 0.24/0.53 % (19610)Time elapsed: 0.015 s 0.24/0.53 % (19610)Instructions burned: 26 (million) 0.24/0.53 % (19610)------------------------------ 0.24/0.53 % (19610)------------------------------ 0.24/0.55 % (19611)Instruction limit reached! 0.24/0.55 % (19611)------------------------------ 0.24/0.55 % (19611)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.55 % (19611)Termination reason: Unknown 0.24/0.55 % (19612)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) 0.24/0.55 % (19611)Termination phase: Property scanning 0.24/0.55 0.24/0.55 % (19611)Memory used [KB]: 1918 0.24/0.55 % (19611)Time elapsed: 0.020 s 0.24/0.55 % (19611)Instructions burned: 59 (million) 0.24/0.55 % (19611)------------------------------ 0.24/0.55 % (19611)------------------------------ 0.24/0.55 % (19609)Instruction limit reached! 0.24/0.55 % (19609)------------------------------ 0.24/0.55 % (19609)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.55 % (19609)Termination reason: Unknown 0.24/0.55 % (19609)Termination phase: Saturation 0.24/0.55 0.24/0.55 % (19609)Memory used [KB]: 6652 0.24/0.55 % (19609)Time elapsed: 0.042 s 0.24/0.55 % (19609)Instructions burned: 140 (million) 0.24/0.55 % (19609)------------------------------ 0.24/0.55 % (19609)------------------------------ 0.24/0.56 % (19614)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) 0.24/0.56 % (19613)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 % (19613)Instruction limit reached! 0.24/0.56 % (19613)------------------------------ 0.24/0.56 % (19613)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.56 % (19613)Termination reason: Unknown 0.24/0.56 % (19613)Termination phase: shuffling 0.24/0.56 0.24/0.56 % (19613)Memory used [KB]: 1279 0.24/0.56 % (19613)Time elapsed: 0.002 s 0.24/0.56 % (19613)Instructions burned: 4 (million) 0.24/0.56 % (19613)------------------------------ 0.24/0.56 % (19613)------------------------------ 0.24/0.56 % (19614)Instruction limit reached! 0.24/0.56 % (19614)------------------------------ 0.24/0.56 % (19614)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.56 % (19614)Termination reason: Unknown 0.24/0.56 % (19614)Termination phase: shuffling 0.24/0.56 0.24/0.56 % (19614)Memory used [KB]: 1663 0.24/0.56 % (19614)Time elapsed: 0.007 s 0.24/0.56 % (19614)Instructions burned: 22 (million) 0.24/0.56 % (19614)------------------------------ 0.24/0.56 % (19614)------------------------------ 0.24/0.57 % (19616)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) 0.24/0.58 % (19596)First to succeed. 1.50/0.58 % (19615)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) 1.50/0.59 % (19615)Instruction limit reached! 1.50/0.59 % (19615)------------------------------ 1.50/0.59 % (19615)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.50/0.59 % (19615)Termination reason: Unknown 1.50/0.59 % (19615)Termination phase: Property scanning 1.50/0.59 1.50/0.59 % (19615)Memory used [KB]: 1791 1.50/0.59 % (19615)Time elapsed: 0.013 s 1.50/0.59 % (19615)Instructions burned: 44 (million) 1.50/0.59 % (19615)------------------------------ 1.50/0.59 % (19615)------------------------------ 1.62/0.60 % (19596)Refutation found. Thanks to Tanya! 1.62/0.60 % SZS status Theorem for Vampire---4 1.62/0.60 % SZS output start Proof for Vampire---4 1.62/0.60 thf(func_def_0, type, in: $i > $i > $o). 1.62/0.60 thf(func_def_1, type, exu: ($i > $o) > $o). 1.62/0.60 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.62/0.60 thf(func_def_8, type, powerset: $i > $i). 1.62/0.60 thf(func_def_10, type, setunion: $i > $i). 1.62/0.60 thf(func_def_19, type, descr: ($i > $o) > $i). 1.62/0.60 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_26, type, prop2set: $o > $i). 1.62/0.60 thf(func_def_36, type, nonempty: $i > $o). 1.62/0.60 thf(func_def_69, type, set2prop: $i > $o). 1.62/0.60 thf(func_def_88, type, subset: $i > $i > $o). 1.62/0.60 thf(func_def_89, type, disjoint: $i > $i > $o). 1.62/0.60 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.62/0.60 thf(func_def_114, type, binunion: $i > $i > $i). 1.62/0.60 thf(func_def_122, type, binintersect: $i > $i > $i). 1.62/0.60 thf(func_def_135, type, regular: $i > $o). 1.62/0.60 thf(func_def_136, type, setminus: $i > $i > $i). 1.62/0.60 thf(func_def_147, type, symdiff: $i > $i > $i). 1.62/0.60 thf(func_def_153, type, iskpair: $i > $o). 1.62/0.60 thf(func_def_158, type, kpair: $i > $i > $i). 1.62/0.60 thf(func_def_160, type, cartprod: $i > $i > $i). 1.62/0.60 thf(func_def_177, type, singleton: $i > $o). 1.62/0.60 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.62/0.60 thf(func_def_184, type, atmost1p: $i > $o). 1.62/0.60 thf(func_def_185, type, atleast2p: $i > $o). 1.62/0.60 thf(func_def_186, type, atmost2p: $i > $o). 1.62/0.60 thf(func_def_187, type, upairsetp: $i > $o). 1.62/0.60 thf(func_def_191, type, kfst: $i > $i). 1.62/0.60 thf(func_def_203, type, ksnd: $i > $i). 1.62/0.60 thf(func_def_220, type, sP0: $i > $i > $o). 1.62/0.60 thf(func_def_221, type, sP1: $i > $o). 1.62/0.60 thf(func_def_222, type, sP2: $i > $i > $o). 1.62/0.60 thf(func_def_223, type, sP3: $i > $i > $o). 1.62/0.60 thf(func_def_227, type, sP7: $o > $i > $i > $i > $o). 1.62/0.60 thf(func_def_240, type, sK20: $i > $o). 1.62/0.60 thf(func_def_241, type, sK21: $i > $o). 1.62/0.60 thf(func_def_242, type, sK22: ($i > $o) > ($i > $o) > $i > $i > $i). 1.62/0.60 thf(func_def_243, type, sK23: ($i > $o) > ($i > $o) > $i > $i > $i). 1.62/0.60 thf(func_def_244, type, sK24: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_245, type, sK25: $i > $o). 1.62/0.60 thf(func_def_256, type, sK36: $i > $o). 1.62/0.60 thf(func_def_280, type, sK60: $i > $o). 1.62/0.60 thf(func_def_283, type, sK63: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_286, type, sK66: $i > $o). 1.62/0.60 thf(func_def_287, type, sK67: $i > $i). 1.62/0.60 thf(func_def_288, type, sK68: ($i > $o) > $i). 1.62/0.60 thf(func_def_292, type, sK72: $i > $i > $i). 1.62/0.60 thf(func_def_293, type, sK73: $i > $i > $i). 1.62/0.60 thf(func_def_294, type, sK74: $i > $i > $i). 1.62/0.60 thf(func_def_295, type, sK75: $i > $i > $i). 1.62/0.60 thf(func_def_296, type, sK76: $i > $i > $i). 1.62/0.60 thf(func_def_297, type, sK77: $i > $i > $i > $i). 1.62/0.60 thf(func_def_298, type, sK78: $i > $i). 1.62/0.60 thf(func_def_299, type, sK79: $i > $i). 1.62/0.60 thf(func_def_300, type, sK80: $i > $i). 1.62/0.60 thf(func_def_301, type, sK81: $i > $i). 1.62/0.60 thf(func_def_302, type, sK82: $i > $i > $i > $i). 1.62/0.60 thf(func_def_303, type, sK83: $i > $i > $i > $i). 1.62/0.60 thf(func_def_304, type, sK84: $i > $i > $i). 1.62/0.60 thf(func_def_305, type, sK85: $i > $i > $i). 1.62/0.60 thf(func_def_306, type, sK86: $i > $i > $i). 1.62/0.60 thf(func_def_307, type, sK87: $i > $i). 1.62/0.60 thf(func_def_309, type, sK89: $i > $i). 1.62/0.60 thf(func_def_310, type, sK90: $i > $i). 1.62/0.60 thf(func_def_314, type, sK94: $i > $i > $i). 1.62/0.60 thf(func_def_326, type, sK106: $i > $i > $i). 1.62/0.60 thf(func_def_333, type, sK113: $i > $o). 1.62/0.60 thf(func_def_355, type, sK135: $i > $o). 1.62/0.60 thf(func_def_356, type, sK136: ($i > $o) > $i). 1.62/0.60 thf(func_def_358, type, sK138: $i > $o). 1.62/0.60 thf(func_def_360, type, sK140: ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_368, type, sK148: $i > ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_370, type, sK150: $i > $o). 1.62/0.60 thf(func_def_380, type, sK160: $i > $i). 1.62/0.60 thf(func_def_386, type, sK166: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_387, type, sK167: $i > $o). 1.62/0.60 thf(func_def_389, type, sK169: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_390, type, sK170: $i > $o). 1.62/0.60 thf(func_def_395, type, sK175: $i > $i). 1.62/0.60 thf(func_def_398, type, sK178: $i > $i). 1.62/0.60 thf(func_def_407, type, sK187: $i > $i > $i). 1.62/0.60 thf(func_def_427, type, sK207: $i > $o). 1.62/0.60 thf(func_def_428, type, sK208: $i > $i). 1.62/0.60 thf(func_def_430, type, sK210: $i > $i). 1.62/0.60 thf(func_def_441, type, sK221: $i > $i > $i). 1.62/0.60 thf(func_def_455, type, sK235: $i > $i > $i). 1.62/0.60 thf(func_def_467, type, sK247: $i > $o). 1.62/0.60 thf(func_def_478, type, sK258: $i > $o). 1.62/0.60 thf(func_def_479, type, sK259: $i > $o). 1.62/0.60 thf(func_def_480, type, sK260: ($i > $o) > ($i > $o) > $i). 1.62/0.60 thf(func_def_481, type, sK261: ($i > $o) > ($i > $o) > $i). 1.62/0.60 thf(func_def_483, type, sK263: $i > $i). 1.62/0.60 thf(func_def_490, type, sK270: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_491, type, sK271: $i > $o). 1.62/0.60 thf(func_def_501, type, sK281: $i > $o). 1.62/0.60 thf(func_def_503, type, sK283: ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_504, type, sK284: ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_524, type, sK304: $i > $o). 1.62/0.60 thf(func_def_525, type, sK305: ($i > $o) > $i). 1.62/0.60 thf(func_def_526, type, sK306: ($i > $o) > $i). 1.62/0.60 thf(func_def_527, type, sK307: $i > $o). 1.62/0.60 thf(func_def_531, type, sK311: $i > $i > $i). 1.62/0.60 thf(func_def_538, type, sK318: $i > $i > $o). 1.62/0.60 thf(func_def_540, type, sK320: $i > $i). 1.62/0.60 thf(func_def_541, type, sK321: $i > $i). 1.62/0.60 thf(func_def_542, type, sK322: $i > ($i > $i > $o) > $i). 1.62/0.60 thf(func_def_543, type, sK323: $i > ($i > $i > $o) > $i). 1.62/0.60 thf(func_def_544, type, sK324: $i > $i > ($i > $i > $o) > $i). 1.62/0.60 thf(func_def_566, type, sK346: $i > $o). 1.62/0.60 thf(func_def_573, type, sK353: $i > $i > $i > $i). 1.62/0.60 thf(func_def_574, type, sK354: $i > $i > $i > $i). 1.62/0.60 thf(func_def_584, type, sK364: $i > $o). 1.62/0.60 thf(func_def_589, type, sK369: $i > $o). 1.62/0.60 thf(func_def_590, type, sK370: $i > $o). 1.62/0.60 thf(func_def_593, type, sK373: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_595, type, sK375: $i > $i). 1.62/0.60 thf(func_def_603, type, sK383: $i > $i > $i). 1.62/0.60 thf(func_def_604, type, sK384: $i > $o). 1.62/0.60 thf(func_def_613, type, sK393: ($i > $o) > ($i > $o) > $i). 1.62/0.60 thf(func_def_614, type, sK394: ($i > $o) > ($i > $o) > $i). 1.62/0.60 thf(func_def_615, type, sK395: $i > $o). 1.62/0.60 thf(func_def_616, type, sK396: $i > $o). 1.62/0.60 thf(func_def_626, type, sK406: $i > $o). 1.62/0.60 thf(func_def_630, type, sK410: ($i > $o) > $i). 1.62/0.60 thf(func_def_631, type, sK411: $i > $o). 1.62/0.60 thf(func_def_632, type, sK412: $i > $i). 1.62/0.60 thf(func_def_647, type, sK427: $i > $o). 1.62/0.60 thf(func_def_655, type, sK435: $i > $o). 1.62/0.60 thf(func_def_657, type, sK437: ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_658, type, sK438: ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_672, type, sK452: $i > $o). 1.62/0.60 thf(func_def_673, type, sK453: ($i > $o) > $i > $i). 1.62/0.60 thf(func_def_675, type, sK455: $i > $o). 1.62/0.60 thf(func_def_690, type, sK470: $i > $i > $i). 1.62/0.60 thf(func_def_693, type, sK473: $o > $i > $i > $i). 1.62/0.60 thf(func_def_701, type, sK481: $i > $i > $i). 1.62/0.60 thf(func_def_702, type, sK482: $i > $i > $i). 1.62/0.60 thf(func_def_710, type, sK490: $i > $o). 1.62/0.60 thf(func_def_713, type, sK493: $i > ($i > $o) > $i). 1.62/0.60 thf(func_def_715, type, ph495: !>[X0: $tType]:(X0)). 1.62/0.60 thf(f3017,plain,( 1.62/0.60 $false), 1.62/0.60 inference(subsumption_resolution,[],[f3016,f1669])). 1.62/0.60 thf(f1669,plain,( 1.62/0.60 ((in @ sK48 @ sK49) != $true)), 1.62/0.60 inference(cnf_transformation,[],[f834])). 1.62/0.60 thf(f834,plain,( 1.62/0.60 (singletoninpowerset = $true) & (ex1E1 = $true) & (singletoninpowunion = $true) & (prop2setI = $true) & (sepInPowerset = $true) & (dsetconstrEL = $true) & (ex1I2 = $true) & (quantDeMorgan1 = $true) & (ksndpairEq = $true) & (notinemptyset = $true) & (powersetsubset = $true) & (emptyInPowerset = $true) & (subsetI1 = $true) & (nonemptyE1 = $true) & (powersetE = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (exu__Cong = $true) & (binintersectLsub = $true) & (subset2powerset = $true) & (nonemptyImpWitness = $true) & (subsetRefl = $true) & (setminusIRneg = $true) & (wellorderingAx = $true) & (setbeta = $true) & (setukpairIR = $true) & (setadjoinSub = $true) & (eqimpsubset1 = $true) & (setukpairinjL = $true) & (notsubsetI = $true) & (omega__Cong = $true) & (cartprodmempair1 = $true) & (theprop = $true) & (descrp = $true) & (singletonsuniq = $true) & (exuI3 = $true) & (cartprodsndin = $true) & (setunionsingleton2 = $true) & (subsetE2 = $true) & (notequalI1 = $true) & (binintersectSubset3 = $true) & (ubforcartprodlem3 = $true) & (subsetE = $true) & (subsetemptysetimpeq = $true) & (notdexE = $true) & (setoftrueEq = $true) & (exuI1 = $true) & (notequalI2 = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (powersetI1 = $true) & (setadjoinIR = $true) & (bs114d = $true) & (secondinupair = $true) & (setukpairinjL1 = $true) & (symdiffI1 = $true) & (setadjoin__Cong = $true) & (prop2set2propI = $true) & (dsetconstr__Cong = $true) & (symdiffI2 = $true) & (setminusI = $true) & (powerset__Cong = $true) & (kfstpairEq = $true) & (setminusSubset1 = $true) & (setextAx = $true) & (powersetI = $true) & (uniqinunit = $true) & (kpairp = $true) & (kpairsurjEq = $true) & (setukpairinjL2 = $true) & (emptysetimpfalse = $true) & (setunionsingleton = $true) & (singletonsubset = $true) & (symdiffE = $true) & (upairsetIR = $true) & (setadjoinSub2 = $true) & (upairsetE = $true) & (setunion__Cong = $true) & (inCongP = $true) & (notinsingleton = $true) & (upairset2IR = $true) & (powersetE1 = $true) & (inPowerset = $true) & (binintersectI = $true) & (nonemptyI1 = $true) & (quantDeMorgan2 = $true) & (cartprodfstin = $true) & (setunionI = $true) & (subPowSU = $true) & (setminusERneg = $true) & (binintersectER = $true) & (nonemptyI = $true) & (foundationAx = $true) & (setukpairinjR = $true) & (binunionE = $true) & (setminusLsub = $true) & (omegaSAx = $true) & (setminusILneg = $true) & (binunionIL = $true) & (sepSubset = $true) & (cartprodpairin = $true) & (powersetAx = $true) & (vacuousDall = $true) & (exuEu = $true) & (setukpairinjR11 = $true) & (in__Cong = $true) & (binintersectEL = $true) & (kfstsingleton = $true) & (singletonprop = $true) & (setminusEL = $true) & (ex1I = $true) & (setminusELneg = $true) & (binintersectSubset5 = $true) & (upairinpowunion = $true) & (cartprodmempair = $true) & (exuI2 = $true) & (omega0Ax = $true) & (descr__Cong = $true) & (setadjoinE = $true) & (upairequniteq = $true) & (binunionIR = $true) & (exuE3u = $true) & (binintersectRsub = $true) & (setextsub = $true) & (exuE2 = $true) & (notdallE = $true) & (eqinunit = $true) & (setminusER = $true) & (setunionE = $true) & (eqimpsubset2 = $true) & (setadjoinIL = $true) & (binintersectSubset4 = $true) & (noeltsimpempty = $true) & (setukpairinjR2 = $true) & (setunionsingleton1 = $true) & (ubforcartprodlem1 = $true) & (binunionLsub = $true) & (((in @ sK48 @ sK49) != $true) & ($true = (in @ (kpair @ sK50 @ sK48) @ (cartprod @ sK51 @ sK49)))) & (emptyinunitempty = $true) & (upairsetIL = $true) & (quantDeMorgan3 = $true) & (binunionRsub = $true) & (emptyE1 = $true) & (replAx = $true) & (quantDeMorgan4 = $true) & (ksndsingleton = $true) & (exuE1 = $true) & (binunionEcases = $true) & (singletonsswitch = $true) & (symdiffIneg2 = $true) & (dsetconstrER = $true) & (setadjoinAx = $true) & (cartprodpairmemEL = $true) & (setext = $true) & (setminusSubset2 = $true) & (binintersectSubset2 = $true) & (binintersectSubset1 = $true) & (prop2setE = $true) & (setunionAx = $true) & (emptysetAx = $true) & (setunionE2 = $true) & (ubforcartprodlem2 = $true) & (emptysetE = $true) & (upairsubunion = $true) & (disjointsetsI1 = $true) & (emptyI = $true) & (subsetTrans = $true) & (setukpairIL = $true) & (subsetI2 = $true) & (emptyset__Cong = $true) & (setukpairinjR12 = $true) & (omegaIndAx = $true) & (setadjoinOr = $true) & (kpairiskpair = $true) & (emptysetsubset = $true) & (setukpairinjR1 = $true) & (upairset2E = $true)), 1.62/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50,sK51])],[f672,f833])). 1.62/0.60 thf(f833,plain,( 1.62/0.60 ? [X0,X1,X2,X3] : (($true != (in @ X0 @ X1)) & ($true = (in @ (kpair @ X2 @ X0) @ (cartprod @ X3 @ X1)))) => (((in @ sK48 @ sK49) != $true) & ($true = (in @ (kpair @ sK50 @ sK48) @ (cartprod @ sK51 @ sK49))))), 1.62/0.60 introduced(choice_axiom,[])). 1.62/0.60 thf(f672,plain,( 1.62/0.60 (singletoninpowerset = $true) & (ex1E1 = $true) & (singletoninpowunion = $true) & (prop2setI = $true) & (sepInPowerset = $true) & (dsetconstrEL = $true) & (ex1I2 = $true) & (quantDeMorgan1 = $true) & (ksndpairEq = $true) & (notinemptyset = $true) & (powersetsubset = $true) & (emptyInPowerset = $true) & (subsetI1 = $true) & (nonemptyE1 = $true) & (powersetE = $true) & (emptyinPowerset = $true) & (exuE3e = $true) & (exu__Cong = $true) & (binintersectLsub = $true) & (subset2powerset = $true) & (nonemptyImpWitness = $true) & (subsetRefl = $true) & (setminusIRneg = $true) & (wellorderingAx = $true) & (setbeta = $true) & (setukpairIR = $true) & (setadjoinSub = $true) & (eqimpsubset1 = $true) & (setukpairinjL = $true) & (notsubsetI = $true) & (omega__Cong = $true) & (cartprodmempair1 = $true) & (theprop = $true) & (descrp = $true) & (singletonsuniq = $true) & (exuI3 = $true) & (cartprodsndin = $true) & (setunionsingleton2 = $true) & (subsetE2 = $true) & (notequalI1 = $true) & (binintersectSubset3 = $true) & (ubforcartprodlem3 = $true) & (subsetE = $true) & (subsetemptysetimpeq = $true) & (notdexE = $true) & (setoftrueEq = $true) & (exuI1 = $true) & (notequalI2 = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (powersetI1 = $true) & (setadjoinIR = $true) & (bs114d = $true) & (secondinupair = $true) & (setukpairinjL1 = $true) & (symdiffI1 = $true) & (setadjoin__Cong = $true) & (prop2set2propI = $true) & (dsetconstr__Cong = $true) & (symdiffI2 = $true) & (setminusI = $true) & (powerset__Cong = $true) & (kfstpairEq = $true) & (setminusSubset1 = $true) & (setextAx = $true) & (powersetI = $true) & (uniqinunit = $true) & (kpairp = $true) & (kpairsurjEq = $true) & (setukpairinjL2 = $true) & (emptysetimpfalse = $true) & (setunionsingleton = $true) & (singletonsubset = $true) & (symdiffE = $true) & (upairsetIR = $true) & (setadjoinSub2 = $true) & (upairsetE = $true) & (setunion__Cong = $true) & (inCongP = $true) & (notinsingleton = $true) & (upairset2IR = $true) & (powersetE1 = $true) & (inPowerset = $true) & (binintersectI = $true) & (nonemptyI1 = $true) & (quantDeMorgan2 = $true) & (cartprodfstin = $true) & (setunionI = $true) & (subPowSU = $true) & (setminusERneg = $true) & (binintersectER = $true) & (nonemptyI = $true) & (foundationAx = $true) & (setukpairinjR = $true) & (binunionE = $true) & (setminusLsub = $true) & (omegaSAx = $true) & (setminusILneg = $true) & (binunionIL = $true) & (sepSubset = $true) & (cartprodpairin = $true) & (powersetAx = $true) & (vacuousDall = $true) & (exuEu = $true) & (setukpairinjR11 = $true) & (in__Cong = $true) & (binintersectEL = $true) & (kfstsingleton = $true) & (singletonprop = $true) & (setminusEL = $true) & (ex1I = $true) & (setminusELneg = $true) & (binintersectSubset5 = $true) & (upairinpowunion = $true) & (cartprodmempair = $true) & (exuI2 = $true) & (omega0Ax = $true) & (descr__Cong = $true) & (setadjoinE = $true) & (upairequniteq = $true) & (binunionIR = $true) & (exuE3u = $true) & (binintersectRsub = $true) & (setextsub = $true) & (exuE2 = $true) & (notdallE = $true) & (eqinunit = $true) & (setminusER = $true) & (setunionE = $true) & (eqimpsubset2 = $true) & (setadjoinIL = $true) & (binintersectSubset4 = $true) & (noeltsimpempty = $true) & (setukpairinjR2 = $true) & (setunionsingleton1 = $true) & (ubforcartprodlem1 = $true) & (binunionLsub = $true) & ? [X0,X1,X2,X3] : (($true != (in @ X0 @ X1)) & ($true = (in @ (kpair @ X2 @ X0) @ (cartprod @ X3 @ X1)))) & (emptyinunitempty = $true) & (upairsetIL = $true) & (quantDeMorgan3 = $true) & (binunionRsub = $true) & (emptyE1 = $true) & (replAx = $true) & (quantDeMorgan4 = $true) & (ksndsingleton = $true) & (exuE1 = $true) & (binunionEcases = $true) & (singletonsswitch = $true) & (symdiffIneg2 = $true) & (dsetconstrER = $true) & (setadjoinAx = $true) & (cartprodpairmemEL = $true) & (setext = $true) & (setminusSubset2 = $true) & (binintersectSubset2 = $true) & (binintersectSubset1 = $true) & (prop2setE = $true) & (setunionAx = $true) & (emptysetAx = $true) & (setunionE2 = $true) & (ubforcartprodlem2 = $true) & (emptysetE = $true) & (upairsubunion = $true) & (disjointsetsI1 = $true) & (emptyI = $true) & (subsetTrans = $true) & (setukpairIL = $true) & (subsetI2 = $true) & (emptyset__Cong = $true) & (setukpairinjR12 = $true) & (omegaIndAx = $true) & (setadjoinOr = $true) & (kpairiskpair = $true) & (emptysetsubset = $true) & (setukpairinjR1 = $true) & (upairset2E = $true)), 1.62/0.60 inference(flattening,[],[f671])). 1.62/0.60 thf(f671,plain,( 1.62/0.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2,X3] : (($true != (in @ X0 @ X1)) & ($true = (in @ (kpair @ X2 @ X0) @ (cartprod @ X3 @ X1)))) & (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)), 1.62/0.60 inference(ennf_transformation,[],[f332])). 1.62/0.60 thf(f332,plain,( 1.62/0.60 ~((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 = $true) => ! [X0,X1,X2,X3] : (($true = (in @ (kpair @ X2 @ X0) @ (cartprod @ X3 @ X1))) => ($true = (in @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.62/0.60 inference(fool_elimination,[],[f331])). 1.62/0.60 thf(f331,plain,( 1.62/0.60 ~(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 => ! [X0,X1,X2,X3] : ((in @ (kpair @ X2 @ X0) @ (cartprod @ X3 @ X1)) => (in @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.62/0.60 inference(rectify,[],[f182])). 1.62/0.60 thf(f182,negated_conjecture,( 1.62/0.60 ~(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 => ! [X2,X4,X1,X3] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X2 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.62/0.60 inference(negated_conjecture,[],[f181])). 1.62/0.60 thf(f181,conjecture,( 1.62/0.60 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 => ! [X2,X4,X1,X3] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.62/0.60 file('/export/starexec/sandbox2/tmp/tmp.rY7QwN1lvG/Vampire---4.8_19480',cartprodpairmemER)). 1.62/0.60 thf(f3016,plain,( 1.62/0.60 ((in @ sK48 @ sK49) = $true)), 1.62/0.60 inference(subsumption_resolution,[],[f3013,f1798])). 1.62/0.60 thf(f1798,plain,( 1.62/0.60 (ksndpairEq = $true)), 1.62/0.60 inference(cnf_transformation,[],[f834])). 1.62/0.60 thf(f3013,plain,( 1.62/0.60 (ksndpairEq != $true) | ((in @ sK48 @ sK49) = $true)), 1.62/0.60 inference(superposition,[],[f2810,f1938])). 1.62/0.60 thf(f1938,plain,( 1.62/0.60 ( ! [X0 : $i,X1 : $i] : (((ksnd @ (kpair @ X0 @ X1)) = X1) | (ksndpairEq != $true)) )), 1.62/0.60 inference(cnf_transformation,[],[f992])). 1.62/0.60 thf(f992,plain,( 1.62/0.60 (! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1) | (ksndpairEq != $true)) & ((ksndpairEq = $true) | ((ksnd @ (kpair @ sK143 @ sK144)) != sK144))), 1.62/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK143,sK144])],[f990,f991])). 1.62/0.60 thf(f991,plain,( 1.62/0.60 ? [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) != X3) => ((ksnd @ (kpair @ sK143 @ sK144)) != sK144)), 1.62/0.60 introduced(choice_axiom,[])). 1.62/0.60 thf(f990,plain,( 1.62/0.60 (! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1) | (ksndpairEq != $true)) & ((ksndpairEq = $true) | ? [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) != X3))), 1.62/0.60 inference(rectify,[],[f989])). 1.62/0.60 thf(f989,plain,( 1.62/0.60 (! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1) | (ksndpairEq != $true)) & ((ksndpairEq = $true) | ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1))), 1.62/0.60 inference(nnf_transformation,[],[f195])). 1.62/0.60 thf(f195,plain,( 1.62/0.60 ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1) <=> (ksndpairEq = $true)), 1.62/0.60 inference(fool_elimination,[],[f194])). 1.62/0.60 thf(f194,plain,( 1.62/0.60 (! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1) = ksndpairEq)), 1.62/0.60 inference(rectify,[],[f177])). 1.62/0.60 thf(f177,axiom,( 1.62/0.60 (! [X1,X2] : ((ksnd @ (kpair @ X1 @ X2)) = X2) = ksndpairEq)), 1.62/0.60 file('/export/starexec/sandbox2/tmp/tmp.rY7QwN1lvG/Vampire---4.8_19480',ksndpairEq)). 1.62/0.60 thf(f2810,plain,( 1.62/0.60 ($true = (in @ (ksnd @ (kpair @ sK50 @ sK48)) @ sK49))), 1.62/0.60 inference(subsumption_resolution,[],[f2809,f1770])). 1.62/0.60 thf(f1770,plain,( 1.62/0.60 (cartprodsndin = $true)), 1.62/0.60 inference(cnf_transformation,[],[f834])). 1.62/0.60 thf(f2809,plain,( 1.62/0.60 ($true = (in @ (ksnd @ (kpair @ sK50 @ sK48)) @ sK49)) | (cartprodsndin != $true)), 1.62/0.60 inference(trivial_inequality_removal,[],[f2801])). 1.62/0.60 thf(f2801,plain,( 1.62/0.60 ($true = (in @ (ksnd @ (kpair @ sK50 @ sK48)) @ sK49)) | (cartprodsndin != $true) | ($true != $true)), 1.62/0.60 inference(superposition,[],[f2026,f1668])). 1.62/0.60 thf(f1668,plain,( 1.62/0.60 ($true = (in @ (kpair @ sK50 @ sK48) @ (cartprod @ sK51 @ sK49)))), 1.62/0.60 inference(cnf_transformation,[],[f834])). 1.62/0.60 thf(f2026,plain,( 1.62/0.60 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X1 @ (cartprod @ X2 @ X0))) | ($true = (in @ (ksnd @ X1) @ X0)) | (cartprodsndin != $true)) )), 1.62/0.60 inference(cnf_transformation,[],[f1104])). 1.62/0.60 thf(f1104,plain,( 1.62/0.60 (! [X0,X1,X2] : (($true = (in @ (ksnd @ X1) @ X0)) | ($true != (in @ X1 @ (cartprod @ X2 @ X0)))) | (cartprodsndin != $true)) & ((cartprodsndin = $true) | (($true != (in @ (ksnd @ sK204) @ sK203)) & ($true = (in @ sK204 @ (cartprod @ sK205 @ sK203)))))), 1.62/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK203,sK204,sK205])],[f1102,f1103])). 1.62/0.60 thf(f1103,plain,( 1.62/0.60 ? [X3,X4,X5] : (($true != (in @ (ksnd @ X4) @ X3)) & ($true = (in @ X4 @ (cartprod @ X5 @ X3)))) => (($true != (in @ (ksnd @ sK204) @ sK203)) & ($true = (in @ sK204 @ (cartprod @ sK205 @ sK203))))), 1.62/0.60 introduced(choice_axiom,[])). 1.62/0.60 thf(f1102,plain,( 1.62/0.60 (! [X0,X1,X2] : (($true = (in @ (ksnd @ X1) @ X0)) | ($true != (in @ X1 @ (cartprod @ X2 @ X0)))) | (cartprodsndin != $true)) & ((cartprodsndin = $true) | ? [X3,X4,X5] : (($true != (in @ (ksnd @ X4) @ X3)) & ($true = (in @ X4 @ (cartprod @ X5 @ X3)))))), 1.62/0.60 inference(rectify,[],[f1101])). 1.62/0.60 thf(f1101,plain,( 1.62/0.60 (! [X0,X1,X2] : (($true = (in @ (ksnd @ X1) @ X0)) | ($true != (in @ X1 @ (cartprod @ X2 @ X0)))) | (cartprodsndin != $true)) & ((cartprodsndin = $true) | ? [X0,X1,X2] : (($true != (in @ (ksnd @ X1) @ X0)) & ($true = (in @ X1 @ (cartprod @ X2 @ X0)))))), 1.62/0.60 inference(nnf_transformation,[],[f742])). 1.62/0.60 thf(f742,plain,( 1.62/0.60 ! [X0,X1,X2] : (($true = (in @ (ksnd @ X1) @ X0)) | ($true != (in @ X1 @ (cartprod @ X2 @ X0)))) <=> (cartprodsndin = $true)), 1.62/0.60 inference(ennf_transformation,[],[f447])). 1.62/0.60 thf(f447,plain,( 1.62/0.60 ! [X0,X1,X2] : (($true = (in @ X1 @ (cartprod @ X2 @ X0))) => ($true = (in @ (ksnd @ X1) @ X0))) <=> (cartprodsndin = $true)), 1.62/0.60 inference(fool_elimination,[],[f446])). 1.62/0.60 thf(f446,plain,( 1.62/0.60 (cartprodsndin = ! [X0,X1,X2] : ((in @ X1 @ (cartprod @ X2 @ X0)) => (in @ (ksnd @ X1) @ X0)))), 1.62/0.60 inference(rectify,[],[f179])). 1.62/0.60 thf(f179,axiom,( 1.62/0.60 (cartprodsndin = ! [X4,X10,X3] : ((in @ X10 @ (cartprod @ X3 @ X4)) => (in @ (ksnd @ X10) @ X4)))), 1.62/0.60 file('/export/starexec/sandbox2/tmp/tmp.rY7QwN1lvG/Vampire---4.8_19480',cartprodsndin)). 1.62/0.60 % SZS output end Proof for Vampire---4 1.62/0.60 % (19596)------------------------------ 1.62/0.60 % (19596)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.62/0.60 % (19596)Termination reason: Refutation 1.62/0.60 1.62/0.60 % (19596)Memory used [KB]: 8827 1.62/0.60 % (19596)Time elapsed: 0.174 s 1.62/0.60 % (19596)Instructions burned: 295 (million) 1.62/0.60 % (19596)------------------------------ 1.62/0.60 % (19596)------------------------------ 1.62/0.60 % (19588)Success in time 0.201 s 1.62/0.60 % Vampire---4.8 exiting 1.62/0.60 EOF