0.12/0.16 % Problem : Vampire---4.8_26676 : TPTP v0.0.0. Released v0.0.0. 0.12/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.18/0.37 % Computer : n011.cluster.edu 0.18/0.37 % Model : x86_64 x86_64 0.18/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.37 % Memory : 8042.1875MB 0.18/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.18/0.37 % CPULimit : 1440 0.18/0.37 % WCLimit : 180 0.18/0.37 % DateTime : Mon Jul 3 13:10:54 EDT 2023 0.18/0.37 % CPUTime : 0.23/0.37 This is a THF_ problem 0.23/0.37 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.DaouTMesda/Vampire---4.8_26676 -m 12000 -t 180 0.23/0.40 % (26911)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) 0.23/0.41 % (26908)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.23/0.41 % (26909)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.23/0.41 % (26910)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) 0.23/0.41 % (26912)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.23/0.41 % (26913)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) 0.23/0.41 % (26915)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) 0.23/0.41 % (26915)Instruction limit reached! 0.23/0.41 % (26915)------------------------------ 0.23/0.41 % (26915)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.41 % (26915)Termination reason: Unknown 0.23/0.41 % (26915)Termination phase: shuffling 0.23/0.41 0.23/0.41 % (26915)Memory used [KB]: 1279 0.23/0.41 % (26915)Time elapsed: 0.006 s 0.23/0.41 % (26915)Instructions burned: 4 (million) 0.23/0.41 % (26915)------------------------------ 0.23/0.41 % (26915)------------------------------ 0.23/0.41 % (26916)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) 0.23/0.42 % (26912)Instruction limit reached! 0.23/0.42 % (26912)------------------------------ 0.23/0.42 % (26912)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (26912)Termination reason: Unknown 0.23/0.42 % (26912)Termination phase: shuffling 0.23/0.42 0.23/0.42 % (26912)Memory used [KB]: 1663 0.23/0.42 % (26912)Time elapsed: 0.011 s 0.23/0.42 % (26912)Instructions burned: 18 (million) 0.23/0.42 % (26912)------------------------------ 0.23/0.42 % (26912)------------------------------ 0.23/0.42 % (26910)Instruction limit reached! 0.23/0.42 % (26910)------------------------------ 0.23/0.42 % (26910)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (26910)Termination reason: Unknown 0.23/0.42 % (26910)Termination phase: Property scanning 0.23/0.42 0.23/0.42 % (26910)Memory used [KB]: 1791 0.23/0.42 % (26910)Time elapsed: 0.019 s 0.23/0.42 % (26910)Instructions burned: 34 (million) 0.23/0.42 % (26910)------------------------------ 0.23/0.42 % (26910)------------------------------ 0.23/0.43 % (26909)Instruction limit reached! 0.23/0.43 % (26909)------------------------------ 0.23/0.43 % (26909)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.43 % (26909)Termination reason: Unknown 0.23/0.43 % (26909)Termination phase: Property scanning 0.23/0.43 0.23/0.43 % (26909)Memory used [KB]: 1791 0.23/0.43 % (26909)Time elapsed: 0.022 s 0.23/0.43 % (26909)Instructions burned: 37 (million) 0.23/0.43 % (26909)------------------------------ 0.23/0.43 % (26909)------------------------------ 0.23/0.43 % (26929)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.23/0.43 % (26932)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.23/0.44 % (26932)Instruction limit reached! 0.23/0.44 % (26932)------------------------------ 0.23/0.44 % (26932)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.44 % (26932)Termination reason: Unknown 0.23/0.44 % (26932)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (26932)Memory used [KB]: 1407 0.23/0.44 % (26932)Time elapsed: 0.005 s 0.23/0.44 % (26932)Instructions burned: 7 (million) 0.23/0.44 % (26932)------------------------------ 0.23/0.44 % (26932)------------------------------ 0.23/0.44 % (26929)Instruction limit reached! 0.23/0.44 % (26929)------------------------------ 0.23/0.44 % (26929)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.44 % (26929)Termination reason: Unknown 0.23/0.44 % (26929)Termination phase: shuffling 0.23/0.44 0.23/0.44 % (26929)Memory used [KB]: 1663 0.23/0.44 % (26929)Time elapsed: 0.014 s 0.23/0.44 % (26929)Instructions burned: 21 (million) 0.23/0.44 % (26929)------------------------------ 0.23/0.44 % (26929)------------------------------ 0.23/0.44 % (26937)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.23/0.44 % (26913)Instruction limit reached! 0.23/0.44 % (26913)------------------------------ 0.23/0.44 % (26913)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.44 % (26913)Termination reason: Unknown 0.23/0.44 % (26913)Termination phase: Property scanning 0.23/0.44 % (26939)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.23/0.44 0.23/0.44 % (26913)Memory used [KB]: 2046 0.23/0.44 % (26913)Time elapsed: 0.037 s 0.23/0.44 % (26913)Instructions burned: 75 (million) 0.23/0.44 % (26913)------------------------------ 0.23/0.44 % (26913)------------------------------ 0.23/0.45 % (26949)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.23/0.45 % (26908)Instruction limit reached! 0.23/0.45 % (26908)------------------------------ 0.23/0.45 % (26908)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.45 % (26908)Termination reason: Unknown 0.23/0.45 % (26908)Termination phase: Saturation 0.23/0.45 0.23/0.45 % (26908)Memory used [KB]: 6780 0.23/0.45 % (26908)Time elapsed: 0.051 s 0.23/0.45 % (26908)Instructions burned: 96 (million) 0.23/0.45 % (26908)------------------------------ 0.23/0.45 % (26908)------------------------------ 0.23/0.46 % (26949)Instruction limit reached! 0.23/0.46 % (26949)------------------------------ 0.23/0.46 % (26949)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.46 % (26949)Termination reason: Unknown 0.23/0.46 % (26949)Termination phase: shuffling 0.23/0.46 0.23/0.46 % (26949)Memory used [KB]: 1407 0.23/0.46 % (26949)Time elapsed: 0.007 s 0.23/0.46 % (26949)Instructions burned: 9 (million) 0.23/0.46 % (26949)------------------------------ 0.23/0.46 % (26949)------------------------------ 0.23/0.46 % (26955)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.23/0.46 % (26952)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.23/0.47 % (26960)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.23/0.47 % (26961)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.23/0.48 % (26939)Instruction limit reached! 0.23/0.48 % (26939)------------------------------ 0.23/0.48 % (26939)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.48 % (26939)Termination reason: Unknown 0.23/0.48 % (26939)Termination phase: Property scanning 0.23/0.48 0.23/0.48 % (26939)Memory used [KB]: 2046 0.23/0.48 % (26939)Time elapsed: 0.037 s 0.23/0.48 % (26939)Instructions burned: 71 (million) 0.23/0.48 % (26939)------------------------------ 0.23/0.48 % (26939)------------------------------ 0.23/0.48 % (26961)Instruction limit reached! 0.23/0.48 % (26961)------------------------------ 0.23/0.48 % (26961)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.48 % (26961)Termination reason: Unknown 0.23/0.48 % (26961)Termination phase: Property scanning 0.23/0.48 0.23/0.48 % (26961)Memory used [KB]: 1663 0.23/0.48 % (26961)Time elapsed: 0.011 s 0.23/0.48 % (26961)Instructions burned: 15 (million) 0.23/0.48 % (26961)------------------------------ 0.23/0.48 % (26961)------------------------------ 0.23/0.49 % (26976)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) 0.23/0.49 % (26976)Instruction limit reached! 0.23/0.49 % (26976)------------------------------ 0.23/0.49 % (26976)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.49 % (26976)Termination reason: Unknown 0.23/0.49 % (26976)Termination phase: shuffling 0.23/0.49 0.23/0.49 % (26976)Memory used [KB]: 1279 0.23/0.49 % (26976)Time elapsed: 0.003 s 0.23/0.49 % (26976)Instructions burned: 3 (million) 0.23/0.49 % (26976)------------------------------ 0.23/0.49 % (26976)------------------------------ 0.23/0.50 % (26981)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) 0.23/0.51 % (26960)Instruction limit reached! 0.23/0.51 % (26960)------------------------------ 0.23/0.51 % (26960)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.51 % (26960)Termination reason: Unknown 0.23/0.51 % (26960)Termination phase: Property scanning 0.23/0.51 0.23/0.51 % (26960)Memory used [KB]: 3070 0.23/0.51 % (26960)Time elapsed: 0.037 s 0.23/0.51 % (26960)Instructions burned: 61 (million) 0.23/0.51 % (26960)------------------------------ 0.23/0.51 % (26960)------------------------------ 0.23/0.51 % (26982)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) 0.23/0.51 % (26982)Instruction limit reached! 0.23/0.51 % (26982)------------------------------ 0.23/0.51 % (26982)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.51 % (26982)Termination reason: Unknown 0.23/0.51 % (26982)Termination phase: shuffling 0.23/0.51 0.23/0.51 % (26982)Memory used [KB]: 1535 0.23/0.51 % (26982)Time elapsed: 0.007 s 0.23/0.51 % (26982)Instructions burned: 12 (million) 0.23/0.51 % (26982)------------------------------ 0.23/0.51 % (26982)------------------------------ 0.23/0.52 % (26987)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) 0.23/0.53 % (26955)Instruction limit reached! 0.23/0.53 % (26955)------------------------------ 0.23/0.53 % (26955)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.53 % (26955)Termination reason: Unknown 0.23/0.53 % (26955)Termination phase: Saturation 0.23/0.53 0.23/0.53 % (26955)Memory used [KB]: 6908 0.23/0.53 % (26955)Time elapsed: 0.073 s 0.23/0.53 % (26955)Instructions burned: 129 (million) 0.23/0.53 % (26955)------------------------------ 0.23/0.53 % (26955)------------------------------ 0.23/0.53 % (26992)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) 1.35/0.54 % (26992)Instruction limit reached! 1.35/0.54 % (26992)------------------------------ 1.35/0.54 % (26992)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.35/0.54 % (27007)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) 1.35/0.54 % (26992)Termination reason: Unknown 1.35/0.54 % (26992)Termination phase: shuffling 1.35/0.54 1.35/0.54 % (26992)Memory used [KB]: 1791 1.35/0.54 % (26992)Time elapsed: 0.014 s 1.35/0.54 % (26992)Instructions burned: 26 (million) 1.35/0.54 % (26992)------------------------------ 1.35/0.54 % (26992)------------------------------ 1.35/0.55 % (26911)Instruction limit reached! 1.35/0.55 % (26911)------------------------------ 1.35/0.55 % (26911)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.35/0.55 % (26911)Termination reason: Unknown 1.35/0.55 % (26911)Termination phase: Saturation 1.35/0.55 1.35/0.55 % (26911)Memory used [KB]: 7931 1.35/0.55 % (26911)Time elapsed: 0.152 s 1.35/0.55 % (26911)Instructions burned: 386 (million) 1.35/0.55 % (26911)------------------------------ 1.35/0.55 % (26911)------------------------------ 1.35/0.56 % (27008)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) 1.48/0.57 % (27009)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) 1.48/0.57 % (27009)Instruction limit reached! 1.48/0.57 % (27009)------------------------------ 1.48/0.57 % (27009)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.57 % (27009)Termination reason: Unknown 1.48/0.57 % (27009)Termination phase: shuffling 1.48/0.57 1.48/0.57 % (27009)Memory used [KB]: 1279 1.48/0.57 % (27009)Time elapsed: 0.003 s 1.48/0.57 % (27009)Instructions burned: 4 (million) 1.48/0.57 % (27009)------------------------------ 1.48/0.57 % (27009)------------------------------ 1.48/0.57 % (27007)Instruction limit reached! 1.48/0.57 % (27007)------------------------------ 1.48/0.57 % (27007)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.57 % (27007)Termination reason: Unknown 1.48/0.57 % (27007)Termination phase: Property scanning 1.48/0.57 1.48/0.57 % (27007)Memory used [KB]: 1918 1.48/0.57 % (27007)Time elapsed: 0.028 s 1.48/0.57 % (27007)Instructions burned: 56 (million) 1.48/0.57 % (27007)------------------------------ 1.48/0.57 % (27007)------------------------------ 1.48/0.58 % (27010)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) 1.48/0.59 % (27011)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) 1.48/0.59 % (27010)Instruction limit reached! 1.48/0.59 % (27010)------------------------------ 1.48/0.59 % (27010)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.59 % (27010)Termination reason: Unknown 1.48/0.59 % (27010)Termination phase: shuffling 1.48/0.59 1.48/0.59 % (27010)Memory used [KB]: 1663 1.48/0.59 % (27010)Time elapsed: 0.011 s 1.48/0.59 % (27010)Instructions burned: 19 (million) 1.48/0.59 % (27010)------------------------------ 1.48/0.59 % (27010)------------------------------ 1.48/0.59 % (26987)Instruction limit reached! 1.48/0.59 % (26987)------------------------------ 1.48/0.59 % (26987)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.59 % (26987)Termination reason: Unknown 1.48/0.59 % (26987)Termination phase: Saturation 1.48/0.59 1.48/0.59 % (26987)Memory used [KB]: 6652 1.48/0.59 % (26987)Time elapsed: 0.072 s 1.48/0.59 % (26987)Instructions burned: 141 (million) 1.48/0.59 % (26987)------------------------------ 1.48/0.59 % (26987)------------------------------ 1.48/0.61 % (27012)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) 1.48/0.61 % (27011)Instruction limit reached! 1.48/0.61 % (27011)------------------------------ 1.48/0.61 % (27011)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.61 % (27011)Termination reason: Unknown 1.48/0.61 % (27011)Termination phase: SInE selection 1.48/0.61 1.48/0.61 % (27011)Memory used [KB]: 1791 1.48/0.61 % (27011)Time elapsed: 0.023 s 1.48/0.61 % (27011)Instructions burned: 44 (million) 1.48/0.61 % (27011)------------------------------ 1.48/0.61 % (27011)------------------------------ 1.48/0.61 % (27013)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 (1797ds/62Mi) 1.48/0.62 % (26916)First to succeed. 1.48/0.62 % (27014)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 (1797ds/105Mi) 1.48/0.62 % (26937)Also succeeded, but the first one will report. 1.48/0.63 % (26916)Refutation found. Thanks to Tanya! 1.48/0.63 % SZS status Theorem for Vampire---4 1.48/0.63 % SZS output start Proof for Vampire---4 1.48/0.63 thf(func_def_0, type, in: $i > $i > $o). 1.48/0.63 thf(func_def_1, type, exu: ($i > $o) > $o). 1.48/0.63 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.48/0.63 thf(func_def_8, type, powerset: $i > $i). 1.48/0.63 thf(func_def_10, type, setunion: $i > $i). 1.48/0.63 thf(func_def_19, type, descr: ($i > $o) > $i). 1.48/0.63 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_26, type, prop2set: $o > $i). 1.48/0.63 thf(func_def_36, type, nonempty: $i > $o). 1.48/0.63 thf(func_def_69, type, set2prop: $i > $o). 1.48/0.63 thf(func_def_88, type, subset: $i > $i > $o). 1.48/0.63 thf(func_def_89, type, disjoint: $i > $i > $o). 1.48/0.63 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.48/0.63 thf(func_def_114, type, binunion: $i > $i > $i). 1.48/0.63 thf(func_def_122, type, binintersect: $i > $i > $i). 1.48/0.63 thf(func_def_135, type, regular: $i > $o). 1.48/0.63 thf(func_def_136, type, setminus: $i > $i > $i). 1.48/0.63 thf(func_def_147, type, symdiff: $i > $i > $i). 1.48/0.63 thf(func_def_153, type, iskpair: $i > $o). 1.48/0.63 thf(func_def_158, type, kpair: $i > $i > $i). 1.48/0.63 thf(func_def_160, type, cartprod: $i > $i > $i). 1.48/0.63 thf(func_def_177, type, singleton: $i > $o). 1.48/0.63 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.48/0.63 thf(func_def_184, type, atmost1p: $i > $o). 1.48/0.63 thf(func_def_185, type, atleast2p: $i > $o). 1.48/0.63 thf(func_def_186, type, atmost2p: $i > $o). 1.48/0.63 thf(func_def_187, type, upairsetp: $i > $o). 1.48/0.63 thf(func_def_191, type, kfst: $i > $i). 1.48/0.63 thf(func_def_203, type, ksnd: $i > $i). 1.48/0.63 thf(func_def_221, type, sP2: $o > $i > $i > $i > $o). 1.48/0.63 thf(func_def_223, type, sP4: $i > $i > $o). 1.48/0.63 thf(func_def_224, type, sP5: $i > $o). 1.48/0.63 thf(func_def_225, type, sP6: $i > $i > $o). 1.48/0.63 thf(func_def_226, type, sP7: $i > $i > $o). 1.48/0.63 thf(func_def_252, type, sK33: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_253, type, sK34: $i > $o). 1.48/0.63 thf(func_def_269, type, sK50: $i > $i > $o). 1.48/0.63 thf(func_def_271, type, sK52: $i > $i). 1.48/0.63 thf(func_def_272, type, sK53: $i > $i). 1.48/0.63 thf(func_def_273, type, sK54: $i > ($i > $i > $o) > $i). 1.48/0.63 thf(func_def_274, type, sK55: $i > ($i > $i > $o) > $i). 1.48/0.63 thf(func_def_275, type, sK56: $i > $i > ($i > $i > $o) > $i). 1.48/0.63 thf(func_def_276, type, sK57: $i > $i > $i). 1.48/0.63 thf(func_def_302, type, sK83: $i > $i > $i > $i). 1.48/0.63 thf(func_def_303, type, sK84: $i > $i > $i > $i). 1.48/0.63 thf(func_def_310, type, sK91: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_311, type, sK92: $i > $o). 1.48/0.63 thf(func_def_314, type, sK95: $i > $o). 1.48/0.63 thf(func_def_324, type, sK105: $i > $o). 1.48/0.63 thf(func_def_335, type, sK116: $i > $i > $i). 1.48/0.63 thf(func_def_342, type, sK123: $i > $i). 1.48/0.63 thf(func_def_344, type, sK125: $i > $i). 1.48/0.63 thf(func_def_346, type, sK127: ($i > $o) > ($i > $o) > $i > $i > $i). 1.48/0.63 thf(func_def_347, type, sK128: ($i > $o) > ($i > $o) > $i > $i > $i). 1.48/0.63 thf(func_def_350, type, sK131: $i > $o). 1.48/0.63 thf(func_def_351, type, sK132: $i > $o). 1.48/0.63 thf(func_def_364, type, sK145: $i > $o). 1.48/0.63 thf(func_def_382, type, sK163: $i > $o). 1.48/0.63 thf(func_def_384, type, sK165: ($i > $o) > $i > $i). 1.48/0.63 thf(func_def_385, type, sK166: $i > $i > $i). 1.48/0.63 thf(func_def_386, type, sK167: $i > $i > $i). 1.48/0.63 thf(func_def_390, type, sK171: $i > $i). 1.48/0.63 thf(func_def_400, type, sK181: $i > $o). 1.48/0.63 thf(func_def_401, type, sK182: ($i > $o) > $i). 1.48/0.63 thf(func_def_409, type, sK190: $i > $i > $i). 1.48/0.63 thf(func_def_410, type, sK191: $i > $i > $i). 1.48/0.63 thf(func_def_421, type, sK202: $i > $o). 1.48/0.63 thf(func_def_429, type, sK210: $i > $i). 1.48/0.63 thf(func_def_440, type, sK221: $i > $o). 1.48/0.63 thf(func_def_443, type, sK224: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_446, type, sK227: $i > $o). 1.48/0.63 thf(func_def_449, type, sK230: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_450, type, sK231: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_451, type, sK232: $i > $o). 1.48/0.63 thf(func_def_453, type, sK234: ($i > $o) > $i). 1.48/0.63 thf(func_def_454, type, sK235: ($i > $o) > $i). 1.48/0.63 thf(func_def_460, type, sK241: $i > $o). 1.48/0.63 thf(func_def_467, type, sK248: $i > $o). 1.48/0.63 thf(func_def_468, type, sK249: $i > $o). 1.48/0.63 thf(func_def_469, type, sK250: ($i > $o) > ($i > $o) > $i). 1.48/0.63 thf(func_def_470, type, sK251: ($i > $o) > ($i > $o) > $i). 1.48/0.63 thf(func_def_476, type, sK257: $i > $o). 1.48/0.63 thf(func_def_479, type, sK260: $i > $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_483, type, sK264: $i > $o). 1.48/0.63 thf(func_def_486, type, sK267: $i > $o). 1.48/0.63 thf(func_def_488, type, sK269: ($i > $o) > $i > $i). 1.48/0.63 thf(func_def_489, type, sK270: ($i > $o) > $i > $i). 1.48/0.63 thf(func_def_490, type, sK271: $i > $o). 1.48/0.63 thf(func_def_503, type, sK284: $i > $o). 1.48/0.63 thf(func_def_509, type, sK290: $i > $o). 1.48/0.63 thf(func_def_510, type, sK291: $i > $i). 1.48/0.63 thf(func_def_511, type, sK292: ($i > $o) > $i). 1.48/0.63 thf(func_def_517, type, sK298: $i > $i). 1.48/0.63 thf(func_def_525, type, sK306: ($i > $o) > $i > $i). 1.48/0.63 thf(func_def_527, type, sK308: $i > $o). 1.48/0.63 thf(func_def_549, type, sK330: $i > $i > $i). 1.48/0.63 thf(func_def_554, type, sK335: $i > $o). 1.48/0.63 thf(func_def_558, type, sK339: $i > $i). 1.48/0.63 thf(func_def_567, type, sK348: $i > $i > $i). 1.48/0.63 thf(func_def_574, type, sK355: $o > $i > $i > $i). 1.48/0.63 thf(func_def_587, type, sK368: $i > $o). 1.48/0.63 thf(func_def_589, type, sK370: ($i > $o) > $i > $i). 1.48/0.63 thf(func_def_599, type, sK380: $i > $i). 1.48/0.63 thf(func_def_601, type, sK382: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_602, type, sK383: $i > $o). 1.48/0.63 thf(func_def_613, type, sK394: $i > $o). 1.48/0.63 thf(func_def_616, type, sK397: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_617, type, sK398: $i > $i > $i). 1.48/0.63 thf(func_def_618, type, sK399: $i > $i > $i). 1.48/0.63 thf(func_def_619, type, sK400: $i > $i > $i). 1.48/0.63 thf(func_def_620, type, sK401: $i > $i > $i). 1.48/0.63 thf(func_def_621, type, sK402: $i > $i > $i). 1.48/0.63 thf(func_def_622, type, sK403: $i > $i > $i > $i). 1.48/0.63 thf(func_def_623, type, sK404: $i > $i). 1.48/0.63 thf(func_def_624, type, sK405: $i > $i). 1.48/0.63 thf(func_def_625, type, sK406: $i > $i). 1.48/0.63 thf(func_def_626, type, sK407: $i > $i). 1.48/0.63 thf(func_def_627, type, sK408: $i > $i > $i > $i). 1.48/0.63 thf(func_def_628, type, sK409: $i > $i > $i > $i). 1.48/0.63 thf(func_def_629, type, sK410: $i > $i > $i). 1.48/0.63 thf(func_def_630, type, sK411: $i > $i > $i). 1.48/0.63 thf(func_def_631, type, sK412: $i > $i > $i). 1.48/0.63 thf(func_def_632, type, sK413: $i > $i). 1.48/0.63 thf(func_def_634, type, sK415: $i > $i). 1.48/0.63 thf(func_def_635, type, sK416: $i > $i). 1.48/0.63 thf(func_def_648, type, sK429: ($i > $o) > $i). 1.48/0.63 thf(func_def_649, type, sK430: $i > $o). 1.48/0.63 thf(func_def_650, type, sK431: $i > $i). 1.48/0.63 thf(func_def_653, type, sK434: $i > $o). 1.48/0.63 thf(func_def_656, type, sK437: $i > $o). 1.48/0.63 thf(func_def_664, type, sK445: $i > $o). 1.48/0.63 thf(func_def_667, type, sK448: $i > ($i > $o) > $i). 1.48/0.63 thf(func_def_668, type, sK449: $i > $o). 1.48/0.63 thf(func_def_669, type, sK450: $i > $o). 1.48/0.63 thf(func_def_670, type, sK451: ($i > $o) > ($i > $o) > $i). 1.48/0.63 thf(func_def_671, type, sK452: ($i > $o) > ($i > $o) > $i). 1.48/0.63 thf(func_def_679, type, sK460: $i > $i > $i). 1.48/0.63 thf(func_def_681, type, sK462: $i > $o). 1.48/0.63 thf(func_def_693, type, sK474: $i > $i > $i). 1.48/0.63 thf(func_def_710, type, ph491: !>[X0: $tType]:(X0)). 1.48/0.63 thf(f3209,plain,( 1.48/0.63 $false), 1.48/0.63 inference(subsumption_resolution,[],[f3208,f1740])). 1.48/0.63 thf(f1740,plain,( 1.48/0.63 ((in @ sK49 @ sK47) != $true)), 1.48/0.63 inference(cnf_transformation,[],[f831])). 1.48/0.63 thf(f831,plain,( 1.48/0.63 (symdiffE = $true) & (setunion__Cong = $true) & (ubforcartprodlem2 = $true) & (nonemptyI1 = $true) & (dsetconstrEL = $true) & (setukpairinjL = $true) & (binintersectSubset3 = $true) & (setext = $true) & (emptysetimpfalse = $true) & (binintersectER = $true) & (singletonsubset = $true) & (dsetconstr__Cong = $true) & (exuE3u = $true) & (omegaIndAx = $true) & (vacuousDall = $true) & (binintersectSubset4 = $true) & (eqinunit = $true) & (exuI2 = $true) & (emptysetE = $true) & (ubforcartprodlem1 = $true) & (binunionRsub = $true) & (powersetI = $true) & (upairsetE = $true) & (binintersectLsub = $true) & (wellorderingAx = $true) & (binintersectSubset5 = $true) & (emptyE1 = $true) & (binunionIL = $true) & (binintersectI = $true) & (binunionE = $true) & (binunionLsub = $true) & (notinsingleton = $true) & (exuEu = $true) & (nonemptyI = $true) & (setadjoinIL = $true) & (theprop = $true) & (kpairsurjEq = $true) & (disjointsetsI1 = $true) & (setminusEL = $true) & (binintersectEL = $true) & (subsetemptysetimpeq = $true) & (cartprodmempair = $true) & (powersetE = $true) & (setukpairIL = $true) & (inCongP = $true) & (nonemptyE1 = $true) & (powerset__Cong = $true) & (setunionsingleton1 = $true) & (upairset2IR = $true) & (exuE3e = $true) & (upairequniteq = $true) & (setextAx = $true) & (kpairiskpair = $true) & (notdexE = $true) & (((in @ sK49 @ sK47) != $true) & ($true = (in @ (kpair @ sK49 @ sK46) @ (cartprod @ sK47 @ sK48)))) & (singletonprop = $true) & (subset2powerset = $true) & (setunionE2 = $true) & (setminusI = $true) & (exuI3 = $true) & (cartprodsndin = $true) & (setukpairinjL1 = $true) & (bs114d = $true) & (sepSubset = $true) & (symdiffI1 = $true) & (setminusIRneg = $true) & (subsetTrans = $true) & (ex1E1 = $true) & (eqimpsubset1 = $true) & (foundationAx = $true) & (descr__Cong = $true) & (setadjoinOr = $true) & (ksndsingleton = $true) & (setminusERneg = $true) & (symdiffIneg1 = $true) & (replAx = $true) & (subsetE = $true) & (setbeta = $true) & (emptysetsubset = $true) & (exuI1 = $true) & (setukpairinjL2 = $true) & (dsetconstrER = $true) & (prop2setE = $true) & (setunionI = $true) & (kfstpairEq = $true) & (exu__Cong = $true) & (omega__Cong = $true) & (powersetE1 = $true) & (symdiffI2 = $true) & (setukpairIR = $true) & (setminusSubset1 = $true) & (singletonsuniq = $true) & (exuE1 = $true) & (kfstsingleton = $true) & (noeltsimpempty = $true) & (cartprodfstin = $true) & (powersetI1 = $true) & (symdiffIneg2 = $true) & (cartprodpairin = $true) & (setadjoin__Cong = $true) & (setadjoinE = $true) & (quantDeMorgan4 = $true) & (prop2setI = $true) & (emptyinPowerset = $true) & (subPowSU = $true) & (quantDeMorgan2 = $true) & (setukpairinjR = $true) & (subsetRefl = $true) & (inPowerset = $true) & (setunionsingleton2 = $true) & (subsetI1 = $true) & (setunionE = $true) & (ex1I2 = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (setunionsingleton = $true) & (cartprodmempair1 = $true) & (setunionAx = $true) & (descrp = $true) & (emptyset__Cong = $true) & (ksndpairEq = $true) & (binintersectSubset1 = $true) & (setadjoinSub2 = $true) & (setoftrueEq = $true) & (kpairp = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (setminusSubset2 = $true) & (powersetAx = $true) & (subsetE2 = $true) & (omegaSAx = $true) & (setminusELneg = $true) & (quantDeMorgan3 = $true) & (emptyI = $true) & (upairinpowunion = $true) & (notequalI2 = $true) & (setadjoinAx = $true) & (ubforcartprodlem3 = $true) & (setukpairinjR2 = $true) & (emptyInPowerset = $true) & (eqimpsubset2 = $true) & (dsetconstrI = $true) & (uniqinunit = $true) & (secondinupair = $true) & (upairsubunion = $true) & (notdallE = $true) & (exuE2 = $true) & (upairset2E = $true) & (omega0Ax = $true) & (setadjoinIR = $true) & (binunionEcases = $true) & (emptyinunitempty = $true) & (singletoninpowerset = $true) & (powersetsubset = $true) & (setukpairinjR11 = $true) & (setminusILneg = $true) & (singletonsswitch = $true) & (subsetI2 = $true) & (singletoninpowunion = $true) & (nonemptyImpWitness = $true) & (quantDeMorgan1 = $true) & (notequalI1 = $true) & (upairsetIR = $true) & (setminusER = $true) & (setminusLsub = $true) & (prop2set2propI = $true) & (binintersectSubset2 = $true) & (emptysetAx = $true) & (notsubsetI = $true) & (notinemptyset = $true) & (setextsub = $true) & (sepInPowerset = $true) & (setukpairinjR12 = $true) & (binunionIR = $true) & (upairsetIL = $true) & (in__Cong = $true)), 1.48/0.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49])],[f694,f830])). 1.48/0.63 thf(f830,plain,( 1.48/0.63 ? [X0,X1,X2,X3] : (((in @ X3 @ X1) != $true) & ($true = (in @ (kpair @ X3 @ X0) @ (cartprod @ X1 @ X2)))) => (((in @ sK49 @ sK47) != $true) & ($true = (in @ (kpair @ sK49 @ sK46) @ (cartprod @ sK47 @ sK48))))), 1.48/0.63 introduced(choice_axiom,[])). 1.48/0.63 thf(f694,plain,( 1.48/0.63 (symdiffE = $true) & (setunion__Cong = $true) & (ubforcartprodlem2 = $true) & (nonemptyI1 = $true) & (dsetconstrEL = $true) & (setukpairinjL = $true) & (binintersectSubset3 = $true) & (setext = $true) & (emptysetimpfalse = $true) & (binintersectER = $true) & (singletonsubset = $true) & (dsetconstr__Cong = $true) & (exuE3u = $true) & (omegaIndAx = $true) & (vacuousDall = $true) & (binintersectSubset4 = $true) & (eqinunit = $true) & (exuI2 = $true) & (emptysetE = $true) & (ubforcartprodlem1 = $true) & (binunionRsub = $true) & (powersetI = $true) & (upairsetE = $true) & (binintersectLsub = $true) & (wellorderingAx = $true) & (binintersectSubset5 = $true) & (emptyE1 = $true) & (binunionIL = $true) & (binintersectI = $true) & (binunionE = $true) & (binunionLsub = $true) & (notinsingleton = $true) & (exuEu = $true) & (nonemptyI = $true) & (setadjoinIL = $true) & (theprop = $true) & (kpairsurjEq = $true) & (disjointsetsI1 = $true) & (setminusEL = $true) & (binintersectEL = $true) & (subsetemptysetimpeq = $true) & (cartprodmempair = $true) & (powersetE = $true) & (setukpairIL = $true) & (inCongP = $true) & (nonemptyE1 = $true) & (powerset__Cong = $true) & (setunionsingleton1 = $true) & (upairset2IR = $true) & (exuE3e = $true) & (upairequniteq = $true) & (setextAx = $true) & (kpairiskpair = $true) & (notdexE = $true) & ? [X0,X1,X2,X3] : (((in @ X3 @ X1) != $true) & ($true = (in @ (kpair @ X3 @ X0) @ (cartprod @ X1 @ X2)))) & (singletonprop = $true) & (subset2powerset = $true) & (setunionE2 = $true) & (setminusI = $true) & (exuI3 = $true) & (cartprodsndin = $true) & (setukpairinjL1 = $true) & (bs114d = $true) & (sepSubset = $true) & (symdiffI1 = $true) & (setminusIRneg = $true) & (subsetTrans = $true) & (ex1E1 = $true) & (eqimpsubset1 = $true) & (foundationAx = $true) & (descr__Cong = $true) & (setadjoinOr = $true) & (ksndsingleton = $true) & (setminusERneg = $true) & (symdiffIneg1 = $true) & (replAx = $true) & (subsetE = $true) & (setbeta = $true) & (emptysetsubset = $true) & (exuI1 = $true) & (setukpairinjL2 = $true) & (dsetconstrER = $true) & (prop2setE = $true) & (setunionI = $true) & (kfstpairEq = $true) & (exu__Cong = $true) & (omega__Cong = $true) & (powersetE1 = $true) & (symdiffI2 = $true) & (setukpairIR = $true) & (setminusSubset1 = $true) & (singletonsuniq = $true) & (exuE1 = $true) & (kfstsingleton = $true) & (noeltsimpempty = $true) & (cartprodfstin = $true) & (powersetI1 = $true) & (symdiffIneg2 = $true) & (cartprodpairin = $true) & (setadjoin__Cong = $true) & (setadjoinE = $true) & (quantDeMorgan4 = $true) & (prop2setI = $true) & (emptyinPowerset = $true) & (subPowSU = $true) & (quantDeMorgan2 = $true) & (setukpairinjR = $true) & (subsetRefl = $true) & (inPowerset = $true) & (setunionsingleton2 = $true) & (subsetI1 = $true) & (setunionE = $true) & (ex1I2 = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (setunionsingleton = $true) & (cartprodmempair1 = $true) & (setunionAx = $true) & (descrp = $true) & (emptyset__Cong = $true) & (ksndpairEq = $true) & (binintersectSubset1 = $true) & (setadjoinSub2 = $true) & (setoftrueEq = $true) & (kpairp = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (setminusSubset2 = $true) & (powersetAx = $true) & (subsetE2 = $true) & (omegaSAx = $true) & (setminusELneg = $true) & (quantDeMorgan3 = $true) & (emptyI = $true) & (upairinpowunion = $true) & (notequalI2 = $true) & (setadjoinAx = $true) & (ubforcartprodlem3 = $true) & (setukpairinjR2 = $true) & (emptyInPowerset = $true) & (eqimpsubset2 = $true) & (dsetconstrI = $true) & (uniqinunit = $true) & (secondinupair = $true) & (upairsubunion = $true) & (notdallE = $true) & (exuE2 = $true) & (upairset2E = $true) & (omega0Ax = $true) & (setadjoinIR = $true) & (binunionEcases = $true) & (emptyinunitempty = $true) & (singletoninpowerset = $true) & (powersetsubset = $true) & (setukpairinjR11 = $true) & (setminusILneg = $true) & (singletonsswitch = $true) & (subsetI2 = $true) & (singletoninpowunion = $true) & (nonemptyImpWitness = $true) & (quantDeMorgan1 = $true) & (notequalI1 = $true) & (upairsetIR = $true) & (setminusER = $true) & (setminusLsub = $true) & (prop2set2propI = $true) & (binintersectSubset2 = $true) & (emptysetAx = $true) & (notsubsetI = $true) & (notinemptyset = $true) & (setextsub = $true) & (sepInPowerset = $true) & (setukpairinjR12 = $true) & (binunionIR = $true) & (upairsetIL = $true) & (in__Cong = $true)), 1.48/0.63 inference(flattening,[],[f693])). 1.48/0.63 thf(f693,plain,( 1.48/0.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2,X3] : (((in @ X3 @ X1) != $true) & ($true = (in @ (kpair @ X3 @ X0) @ (cartprod @ X1 @ X2)))) & (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)), 1.48/0.63 inference(ennf_transformation,[],[f224])). 1.48/0.63 thf(f224,plain,( 1.48/0.63 ~((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 = $true) => ! [X0,X1,X2,X3] : (($true = (in @ (kpair @ X3 @ X0) @ (cartprod @ X1 @ X2))) => ((in @ X3 @ X1) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.48/0.63 inference(fool_elimination,[],[f223])). 1.48/0.63 thf(f223,plain,( 1.48/0.63 ~(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 => ! [X0,X1,X2,X3] : ((in @ (kpair @ X3 @ X0) @ (cartprod @ X1 @ X2)) => (in @ X3 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.48/0.63 inference(rectify,[],[f181])). 1.48/0.63 thf(f181,negated_conjecture,( 1.48/0.63 ~(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 => ! [X2,X3,X4,X1] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.48/0.63 inference(negated_conjecture,[],[f180])). 1.48/0.63 thf(f180,conjecture,( 1.48/0.63 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 => ! [X2,X3,X4,X1] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.48/0.63 file('/export/starexec/sandbox/tmp/tmp.DaouTMesda/Vampire---4.8_26676',cartprodpairmemEL)). 1.48/0.63 thf(f3208,plain,( 1.48/0.63 ((in @ sK49 @ sK47) = $true)), 1.48/0.63 inference(subsumption_resolution,[],[f3205,f1709])). 1.48/0.63 thf(f1709,plain,( 1.48/0.63 (kfstpairEq = $true)), 1.48/0.63 inference(cnf_transformation,[],[f831])). 1.48/0.63 thf(f3205,plain,( 1.48/0.63 (kfstpairEq != $true) | ((in @ sK49 @ sK47) = $true)), 1.48/0.63 inference(superposition,[],[f2799,f2174])). 1.48/0.63 thf(f2174,plain,( 1.48/0.63 ( ! [X2 : $i,X3 : $i] : (((kfst @ (kpair @ X3 @ X2)) = X3) | (kfstpairEq != $true)) )), 1.48/0.63 inference(cnf_transformation,[],[f1277])). 1.48/0.63 thf(f1277,plain,( 1.48/0.63 ((kfstpairEq = $true) | (sK321 != (kfst @ (kpair @ sK321 @ sK320)))) & (! [X2,X3] : ((kfst @ (kpair @ X3 @ X2)) = X3) | (kfstpairEq != $true))), 1.48/0.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK320,sK321])],[f1275,f1276])). 1.48/0.63 thf(f1276,plain,( 1.48/0.63 ? [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) != X1) => (sK321 != (kfst @ (kpair @ sK321 @ sK320)))), 1.48/0.63 introduced(choice_axiom,[])). 1.48/0.63 thf(f1275,plain,( 1.48/0.63 ((kfstpairEq = $true) | ? [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) != X1)) & (! [X2,X3] : ((kfst @ (kpair @ X3 @ X2)) = X3) | (kfstpairEq != $true))), 1.48/0.63 inference(rectify,[],[f1274])). 1.48/0.63 thf(f1274,plain,( 1.48/0.63 ((kfstpairEq = $true) | ? [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) != X1)) & (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true))), 1.48/0.63 inference(nnf_transformation,[],[f350])). 1.48/0.63 thf(f350,plain,( 1.48/0.63 (kfstpairEq = $true) <=> ! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1)), 1.48/0.63 inference(fool_elimination,[],[f349])). 1.48/0.63 thf(f349,plain,( 1.48/0.63 (kfstpairEq = ! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1))), 1.48/0.63 inference(rectify,[],[f166])). 1.48/0.63 thf(f166,axiom,( 1.48/0.63 (kfstpairEq = ! [X2,X1] : ((kfst @ (kpair @ X1 @ X2)) = X1))), 1.48/0.63 file('/export/starexec/sandbox/tmp/tmp.DaouTMesda/Vampire---4.8_26676',kfstpairEq)). 1.48/0.63 thf(f2799,plain,( 1.48/0.63 ($true = (in @ (kfst @ (kpair @ sK49 @ sK46)) @ sK47))), 1.48/0.63 inference(subsumption_resolution,[],[f2798,f1698])). 1.48/0.63 thf(f1698,plain,( 1.48/0.63 (cartprodfstin = $true)), 1.48/0.63 inference(cnf_transformation,[],[f831])). 1.48/0.63 thf(f2798,plain,( 1.48/0.63 ($true = (in @ (kfst @ (kpair @ sK49 @ sK46)) @ sK47)) | (cartprodfstin != $true)), 1.48/0.63 inference(trivial_inequality_removal,[],[f2792])). 1.48/0.63 thf(f2792,plain,( 1.48/0.63 ($true = (in @ (kfst @ (kpair @ sK49 @ sK46)) @ sK47)) | (cartprodfstin != $true) | ($true != $true)), 1.48/0.63 inference(superposition,[],[f1970,f1739])). 1.48/0.63 thf(f1739,plain,( 1.48/0.63 ($true = (in @ (kpair @ sK49 @ sK46) @ (cartprod @ sK47 @ sK48)))), 1.48/0.63 inference(cnf_transformation,[],[f831])). 1.48/0.63 thf(f1970,plain,( 1.48/0.63 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (cartprod @ X1 @ X0))) | ($true = (in @ (kfst @ X2) @ X1)) | (cartprodfstin != $true)) )), 1.48/0.63 inference(cnf_transformation,[],[f1049])). 1.48/0.63 thf(f1049,plain,( 1.48/0.63 (! [X0,X1,X2] : (($true = (in @ (kfst @ X2) @ X1)) | ($true != (in @ X2 @ (cartprod @ X1 @ X0)))) | (cartprodfstin != $true)) & ((cartprodfstin = $true) | (($true != (in @ (kfst @ sK185) @ sK184)) & ((in @ sK185 @ (cartprod @ sK184 @ sK183)) = $true)))), 1.48/0.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK183,sK184,sK185])],[f1047,f1048])). 1.48/0.63 thf(f1048,plain,( 1.48/0.63 ? [X3,X4,X5] : (((in @ (kfst @ X5) @ X4) != $true) & ($true = (in @ X5 @ (cartprod @ X4 @ X3)))) => (($true != (in @ (kfst @ sK185) @ sK184)) & ((in @ sK185 @ (cartprod @ sK184 @ sK183)) = $true))), 1.48/0.63 introduced(choice_axiom,[])). 1.48/0.63 thf(f1047,plain,( 1.48/0.63 (! [X0,X1,X2] : (($true = (in @ (kfst @ X2) @ X1)) | ($true != (in @ X2 @ (cartprod @ X1 @ X0)))) | (cartprodfstin != $true)) & ((cartprodfstin = $true) | ? [X3,X4,X5] : (((in @ (kfst @ X5) @ X4) != $true) & ($true = (in @ X5 @ (cartprod @ X4 @ X3)))))), 1.48/0.63 inference(rectify,[],[f1046])). 1.48/0.63 thf(f1046,plain,( 1.48/0.63 (! [X0,X1,X2] : (($true = (in @ (kfst @ X2) @ X1)) | ($true != (in @ X2 @ (cartprod @ X1 @ X0)))) | (cartprodfstin != $true)) & ((cartprodfstin = $true) | ? [X0,X1,X2] : (($true != (in @ (kfst @ X2) @ X1)) & ($true = (in @ X2 @ (cartprod @ X1 @ X0)))))), 1.48/0.63 inference(nnf_transformation,[],[f615])). 1.48/0.63 thf(f615,plain,( 1.48/0.63 ! [X0,X1,X2] : (($true = (in @ (kfst @ X2) @ X1)) | ($true != (in @ X2 @ (cartprod @ X1 @ X0)))) <=> (cartprodfstin = $true)), 1.48/0.63 inference(ennf_transformation,[],[f394])). 1.48/0.63 thf(f394,plain,( 1.48/0.63 ! [X0,X1,X2] : (($true = (in @ X2 @ (cartprod @ X1 @ X0))) => ($true = (in @ (kfst @ X2) @ X1))) <=> (cartprodfstin = $true)), 1.48/0.63 inference(fool_elimination,[],[f393])). 1.48/0.63 thf(f393,plain,( 1.48/0.63 (cartprodfstin = ! [X0,X1,X2] : ((in @ X2 @ (cartprod @ X1 @ X0)) => (in @ (kfst @ X2) @ X1)))), 1.48/0.63 inference(rectify,[],[f167])). 1.48/0.63 thf(f167,axiom,( 1.48/0.63 (cartprodfstin = ! [X4,X3,X10] : ((in @ X10 @ (cartprod @ X3 @ X4)) => (in @ (kfst @ X10) @ X3)))), 1.48/0.63 file('/export/starexec/sandbox/tmp/tmp.DaouTMesda/Vampire---4.8_26676',cartprodfstin)). 1.48/0.63 % SZS output end Proof for Vampire---4 1.48/0.63 % (26916)------------------------------ 1.48/0.63 % (26916)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.48/0.63 % (26916)Termination reason: Refutation 1.48/0.63 1.48/0.63 % (26916)Memory used [KB]: 8827 1.48/0.63 % (26916)Time elapsed: 0.212 s 1.48/0.63 % (26916)Instructions burned: 368 (million) 1.48/0.63 % (26916)------------------------------ 1.48/0.63 % (26916)------------------------------ 1.48/0.63 % (26900)Success in time 0.233 s 1.48/0.63 % Vampire---4.8 exiting 1.48/0.63 EOF