0.07/0.16 % Problem : Vampire---4.8_17186 : TPTP v0.0.0. Released v0.0.0. 0.16/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.17/0.38 % Computer : n001.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 13:34:00 EDT 2023 0.17/0.38 % CPUTime : 0.17/0.39 This is a THF_ problem 0.17/0.39 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.2be1vQEo1N/Vampire---4.8_17186 -m 12000 -t 180 0.17/0.42 % (17295)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.17/0.42 % (17297)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.17/0.42 % (17299)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) 0.17/0.42 % (17301)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.17/0.42 % (17300)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.17/0.42 % (17298)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.17/0.42 % (17300)Instruction limit reached! 0.17/0.42 % (17300)------------------------------ 0.17/0.42 % (17300)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (17300)Termination reason: Unknown 0.17/0.42 % (17300)Termination phase: shuffling 0.17/0.42 0.17/0.42 % (17300)Memory used [KB]: 1407 0.17/0.42 % (17300)Time elapsed: 0.004 s 0.17/0.42 % (17300)Instructions burned: 5 (million) 0.17/0.42 % (17300)------------------------------ 0.17/0.42 % (17300)------------------------------ 0.17/0.43 % (17294)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.17/0.43 % (17298)Instruction limit reached! 0.17/0.43 % (17298)------------------------------ 0.17/0.43 % (17298)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.43 % (17298)Termination reason: Unknown 0.17/0.43 % (17298)Termination phase: shuffling 0.17/0.43 0.17/0.43 % (17298)Memory used [KB]: 1663 0.17/0.43 % (17298)Time elapsed: 0.010 s 0.17/0.43 % (17298)Instructions burned: 17 (million) 0.17/0.43 % (17298)------------------------------ 0.17/0.43 % (17298)------------------------------ 0.17/0.43 % (17296)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) 0.17/0.44 % (17302)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) 0.17/0.44 % (17295)Instruction limit reached! 0.17/0.44 % (17295)------------------------------ 0.17/0.44 % (17295)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.44 % (17295)Termination reason: Unknown 0.17/0.44 % (17295)Termination phase: Property scanning 0.17/0.44 0.17/0.44 % (17295)Memory used [KB]: 2046 0.17/0.44 % (17295)Time elapsed: 0.021 s 0.17/0.44 % (17295)Instructions burned: 38 (million) 0.17/0.44 % (17295)------------------------------ 0.17/0.44 % (17295)------------------------------ 0.17/0.44 % (17303)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.17/0.45 % (17303)Instruction limit reached! 0.17/0.45 % (17303)------------------------------ 0.17/0.45 % (17303)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.45 % (17303)Termination reason: Unknown 0.17/0.45 % (17303)Termination phase: shuffling 0.17/0.45 0.17/0.45 % (17303)Memory used [KB]: 1535 0.17/0.45 % (17303)Time elapsed: 0.006 s 0.17/0.45 % (17303)Instructions burned: 8 (million) 0.17/0.45 % (17303)------------------------------ 0.17/0.45 % (17303)------------------------------ 0.17/0.45 % (17302)Instruction limit reached! 0.17/0.45 % (17302)------------------------------ 0.17/0.45 % (17302)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.45 % (17302)Termination reason: Unknown 0.17/0.45 % (17302)Termination phase: shuffling 0.17/0.45 0.17/0.45 % (17302)Memory used [KB]: 1791 0.17/0.45 % (17302)Time elapsed: 0.012 s 0.17/0.45 % (17302)Instructions burned: 21 (million) 0.17/0.45 % (17302)------------------------------ 0.17/0.45 % (17302)------------------------------ 0.17/0.45 % (17296)Instruction limit reached! 0.17/0.45 % (17296)------------------------------ 0.17/0.45 % (17296)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.45 % (17296)Termination reason: Unknown 0.17/0.45 % (17296)Termination phase: Property scanning 0.17/0.45 0.17/0.45 % (17296)Memory used [KB]: 2046 0.17/0.45 % (17296)Time elapsed: 0.019 s 0.17/0.45 % (17296)Instructions burned: 34 (million) 0.17/0.45 % (17296)------------------------------ 0.17/0.45 % (17296)------------------------------ 0.17/0.45 % (17304)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) 0.17/0.46 % (17299)Instruction limit reached! 0.17/0.46 % (17299)------------------------------ 0.17/0.46 % (17299)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.46 % (17299)Termination reason: Unknown 0.17/0.46 % (17299)Termination phase: Property scanning 0.17/0.46 0.17/0.46 % (17299)Memory used [KB]: 2174 0.17/0.46 % (17299)Time elapsed: 0.037 s 0.17/0.46 % (17299)Instructions burned: 75 (million) 0.17/0.46 % (17299)------------------------------ 0.17/0.46 % (17299)------------------------------ 0.24/0.46 % (17305)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) 0.24/0.46 % (17306)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) 0.24/0.47 % (17294)Instruction limit reached! 0.24/0.47 % (17294)------------------------------ 0.24/0.47 % (17294)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.47 % (17294)Termination reason: Unknown 0.24/0.47 % (17294)Termination phase: Property scanning 0.24/0.47 0.24/0.47 % (17294)Memory used [KB]: 2302 0.24/0.47 % (17294)Time elapsed: 0.043 s 0.24/0.47 % (17294)Instructions burned: 97 (million) 0.24/0.47 % (17294)------------------------------ 0.24/0.47 % (17294)------------------------------ 0.24/0.47 % (17307)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) 0.24/0.47 % (17306)Instruction limit reached! 0.24/0.47 % (17306)------------------------------ 0.24/0.47 % (17306)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.47 % (17306)Termination reason: Unknown 0.24/0.47 % (17306)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (17306)Memory used [KB]: 1535 0.24/0.47 % (17306)Time elapsed: 0.006 s 0.24/0.47 % (17306)Instructions burned: 9 (million) 0.24/0.47 % (17306)------------------------------ 0.24/0.47 % (17306)------------------------------ 0.24/0.47 % (17308)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) 0.24/0.48 % (17310)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.24/0.48 % (17309)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 % (17310)Instruction limit reached! 0.24/0.48 % (17310)------------------------------ 0.24/0.48 % (17310)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.48 % (17310)Termination reason: Unknown 0.24/0.48 % (17310)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (17310)Memory used [KB]: 1663 0.24/0.48 % (17310)Time elapsed: 0.006 s 0.24/0.48 % (17310)Instructions burned: 14 (million) 0.24/0.48 % (17310)------------------------------ 0.24/0.48 % (17310)------------------------------ 0.24/0.49 % (17311)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 % (17311)Instruction limit reached! 0.24/0.49 % (17311)------------------------------ 0.24/0.49 % (17311)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.49 % (17311)Termination reason: Unknown 0.24/0.49 % (17311)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (17311)Memory used [KB]: 1407 0.24/0.49 % (17311)Time elapsed: 0.002 s 0.24/0.49 % (17311)Instructions burned: 4 (million) 0.24/0.49 % (17311)------------------------------ 0.24/0.49 % (17311)------------------------------ 0.24/0.50 % (17305)Instruction limit reached! 0.24/0.50 % (17305)------------------------------ 0.24/0.50 % (17305)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.50 % (17305)Termination reason: Unknown 0.24/0.50 % (17305)Termination phase: Property scanning 0.24/0.50 0.24/0.50 % (17305)Memory used [KB]: 2046 0.24/0.50 % (17305)Time elapsed: 0.035 s 0.24/0.50 % (17305)Instructions burned: 72 (million) 0.24/0.50 % (17305)------------------------------ 0.24/0.50 % (17305)------------------------------ 0.24/0.50 % (17309)Instruction limit reached! 0.24/0.50 % (17309)------------------------------ 0.24/0.50 % (17309)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.50 % (17309)Termination reason: Unknown 0.24/0.50 % (17309)Termination phase: Preprocessing 3 0.24/0.50 0.24/0.50 % (17309)Memory used [KB]: 2942 0.24/0.50 % (17309)Time elapsed: 0.023 s 0.24/0.50 % (17309)Instructions burned: 61 (million) 0.24/0.50 % (17309)------------------------------ 0.24/0.50 % (17309)------------------------------ 0.24/0.50 % (17312)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) 0.24/0.51 % (17313)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) 0.24/0.51 % (17314)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 (1799ds/140Mi) 0.24/0.51 % (17313)Instruction limit reached! 0.24/0.51 % (17313)------------------------------ 0.24/0.51 % (17313)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.51 % (17313)Termination reason: Unknown 0.24/0.51 % (17313)Termination phase: shuffling 0.24/0.51 0.24/0.51 % (17313)Memory used [KB]: 1535 0.24/0.51 % (17313)Time elapsed: 0.005 s 0.24/0.51 % (17313)Instructions burned: 12 (million) 0.24/0.51 % (17313)------------------------------ 0.24/0.51 % (17313)------------------------------ 0.24/0.51 % (17308)Instruction limit reached! 0.24/0.51 % (17308)------------------------------ 0.24/0.51 % (17308)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.24/0.51 % (17308)Termination reason: Unknown 0.24/0.51 % (17308)Termination phase: Saturation 0.24/0.51 0.24/0.51 % (17308)Memory used [KB]: 6908 0.24/0.51 % (17308)Time elapsed: 0.045 s 0.24/0.51 % (17308)Instructions burned: 129 (million) 0.24/0.51 % (17308)------------------------------ 0.24/0.51 % (17308)------------------------------ 0.24/0.52 % (17315)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) 0.24/0.52 % (17316)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) 1.09/0.53 % (17315)Instruction limit reached! 1.09/0.53 % (17315)------------------------------ 1.09/0.53 % (17315)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.09/0.53 % (17315)Termination reason: Unknown 1.09/0.53 % (17315)Termination phase: shuffling 1.09/0.53 1.09/0.53 % (17315)Memory used [KB]: 1918 1.09/0.53 % (17315)Time elapsed: 0.009 s 1.09/0.53 % (17315)Instructions burned: 28 (million) 1.09/0.53 % (17315)------------------------------ 1.09/0.53 % (17315)------------------------------ 1.09/0.53 % (17317)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) 1.09/0.54 % (17316)Instruction limit reached! 1.09/0.54 % (17316)------------------------------ 1.09/0.54 % (17316)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.09/0.54 % (17316)Termination reason: Unknown 1.09/0.54 % (17316)Termination phase: Property scanning 1.09/0.54 1.09/0.54 % (17316)Memory used [KB]: 2174 1.09/0.54 % (17316)Time elapsed: 0.017 s 1.09/0.54 % (17316)Instructions burned: 56 (million) 1.09/0.54 % (17316)------------------------------ 1.09/0.54 % (17316)------------------------------ 1.20/0.55 % (17318)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) 1.20/0.55 % (17318)Instruction limit reached! 1.20/0.55 % (17318)------------------------------ 1.20/0.55 % (17318)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.20/0.55 % (17318)Termination reason: Unknown 1.20/0.55 % (17318)Termination phase: shuffling 1.20/0.55 1.20/0.55 % (17318)Memory used [KB]: 1407 1.20/0.55 % (17318)Time elapsed: 0.002 s 1.20/0.55 % (17318)Instructions burned: 3 (million) 1.20/0.55 % (17318)------------------------------ 1.20/0.55 % (17318)------------------------------ 1.20/0.56 % (17319)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) 1.20/0.56 % (17301)First to succeed. 1.20/0.56 % (17319)Instruction limit reached! 1.20/0.56 % (17319)------------------------------ 1.20/0.56 % (17319)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.20/0.56 % (17319)Termination reason: Unknown 1.20/0.56 % (17319)Termination phase: shuffling 1.20/0.56 1.20/0.56 % (17319)Memory used [KB]: 1791 1.20/0.56 % (17319)Time elapsed: 0.007 s 1.20/0.56 % (17319)Instructions burned: 20 (million) 1.20/0.56 % (17319)------------------------------ 1.20/0.56 % (17319)------------------------------ 1.20/0.56 % (17301)Refutation found. Thanks to Tanya! 1.20/0.56 % SZS status Theorem for Vampire---4 1.20/0.56 % SZS output start Proof for Vampire---4 1.20/0.56 thf(func_def_0, type, in: $i > $i > $o). 1.20/0.56 thf(func_def_1, type, exu: ($i > $o) > $o). 1.20/0.56 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.20/0.56 thf(func_def_8, type, powerset: $i > $i). 1.20/0.56 thf(func_def_10, type, setunion: $i > $i). 1.20/0.56 thf(func_def_19, type, descr: ($i > $o) > $i). 1.20/0.56 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_26, type, prop2set: $o > $i). 1.20/0.56 thf(func_def_36, type, nonempty: $i > $o). 1.20/0.56 thf(func_def_69, type, set2prop: $i > $o). 1.20/0.56 thf(func_def_88, type, subset: $i > $i > $o). 1.20/0.56 thf(func_def_89, type, disjoint: $i > $i > $o). 1.20/0.56 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.20/0.56 thf(func_def_114, type, binunion: $i > $i > $i). 1.20/0.56 thf(func_def_122, type, binintersect: $i > $i > $i). 1.20/0.56 thf(func_def_135, type, regular: $i > $o). 1.20/0.56 thf(func_def_136, type, setminus: $i > $i > $i). 1.20/0.56 thf(func_def_147, type, symdiff: $i > $i > $i). 1.20/0.56 thf(func_def_153, type, iskpair: $i > $o). 1.20/0.56 thf(func_def_158, type, kpair: $i > $i > $i). 1.20/0.56 thf(func_def_160, type, cartprod: $i > $i > $i). 1.20/0.56 thf(func_def_177, type, singleton: $i > $o). 1.20/0.56 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.20/0.56 thf(func_def_184, type, atmost1p: $i > $o). 1.20/0.56 thf(func_def_185, type, atleast2p: $i > $o). 1.20/0.56 thf(func_def_186, type, atmost2p: $i > $o). 1.20/0.56 thf(func_def_187, type, upairsetp: $i > $o). 1.20/0.56 thf(func_def_191, type, kfst: $i > $i). 1.20/0.56 thf(func_def_203, type, ksnd: $i > $i). 1.20/0.56 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.20/0.56 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.20/0.56 thf(func_def_222, type, func: $i > $i > $i > $o). 1.20/0.56 thf(func_def_223, type, funcSet: $i > $i > $i). 1.20/0.56 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.20/0.56 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.20/0.56 thf(func_def_253, type, sP1: $i > $i > $o). 1.20/0.56 thf(func_def_254, type, sP2: $i > $o). 1.20/0.56 thf(func_def_255, type, sP3: $i > $i > $o). 1.20/0.56 thf(func_def_256, type, sP4: $i > $i > $o). 1.20/0.56 thf(func_def_258, type, sP6: $i > $i > $i > $o > $o). 1.20/0.56 thf(func_def_264, type, sK12: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_265, type, sK13: $i > $o). 1.20/0.56 thf(func_def_270, type, sK18: $i > $i > $o). 1.20/0.56 thf(func_def_277, type, sK25: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_278, type, sK26: $i > $o). 1.20/0.56 thf(func_def_281, type, sK29: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_282, type, sK30: $i > $o). 1.20/0.56 thf(func_def_285, type, sK33: ($i > $i) > $i > $i > $i). 1.20/0.56 thf(func_def_288, type, sK36: $i > $i). 1.20/0.56 thf(func_def_294, type, sK42: $i > $o). 1.20/0.56 thf(func_def_297, type, sK45: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_298, type, sK46: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_301, type, sK49: $i > $o). 1.20/0.56 thf(func_def_302, type, sK50: ($i > $o) > $i). 1.20/0.56 thf(func_def_316, type, sK64: $i > $o). 1.20/0.56 thf(func_def_319, type, sK67: ($i > $o) > $i > $i). 1.20/0.56 thf(func_def_321, type, sK69: $i > $o). 1.20/0.56 thf(func_def_326, type, sK74: $i > $i > $o). 1.20/0.56 thf(func_def_357, type, sK105: $i > $i > $i > $i). 1.20/0.56 thf(func_def_358, type, sK106: $i > $i > $i > $i). 1.20/0.56 thf(func_def_365, type, sK113: $i > $i > $o). 1.20/0.56 thf(func_def_383, type, sK131: $i > $o). 1.20/0.56 thf(func_def_392, type, sK140: $i > $o). 1.20/0.56 thf(func_def_396, type, sK144: $i > $o). 1.20/0.56 thf(func_def_398, type, sK146: $i > $i). 1.20/0.56 thf(func_def_401, type, sK149: $i > $i > ($i > $i) > $i). 1.20/0.56 thf(func_def_406, type, sK154: $i > $o). 1.20/0.56 thf(func_def_412, type, sK160: $i > $i > $i). 1.20/0.56 thf(func_def_413, type, sK161: $i > $i > $i). 1.20/0.56 thf(func_def_423, type, sK171: $i > $i). 1.20/0.56 thf(func_def_435, type, sK183: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_436, type, sK184: $i > $o). 1.20/0.56 thf(func_def_443, type, sK191: $i > $i > $i). 1.20/0.56 thf(func_def_444, type, sK192: $i > $i > $i). 1.20/0.56 thf(func_def_445, type, sK193: $i > $i > $i). 1.20/0.56 thf(func_def_446, type, sK194: $i > $i > $i). 1.20/0.56 thf(func_def_447, type, sK195: $i > $i > $i > $i). 1.20/0.56 thf(func_def_448, type, sK196: $i > $i). 1.20/0.56 thf(func_def_449, type, sK197: $i > $i). 1.20/0.56 thf(func_def_450, type, sK198: $i > $i). 1.20/0.56 thf(func_def_451, type, sK199: $i > $i). 1.20/0.56 thf(func_def_452, type, sK200: $i > $i > $i). 1.20/0.56 thf(func_def_453, type, sK201: $i > $i > $i > $i). 1.20/0.56 thf(func_def_454, type, sK202: $i > $i > $i > $i). 1.20/0.56 thf(func_def_455, type, sK203: $i > $i > $i). 1.20/0.56 thf(func_def_456, type, sK204: $i > $i > $i). 1.20/0.56 thf(func_def_458, type, sK206: $i > $i). 1.20/0.56 thf(func_def_459, type, sK207: $i > $i). 1.20/0.56 thf(func_def_460, type, sK208: $i > $i). 1.20/0.56 thf(func_def_461, type, sK209: $i > $i > $i). 1.20/0.56 thf(func_def_466, type, sK214: $i > $o). 1.20/0.56 thf(func_def_470, type, sK218: $i > $o). 1.20/0.56 thf(func_def_485, type, sK233: ($i > $o) > $i > $i). 1.20/0.56 thf(func_def_487, type, sK235: $i > $o). 1.20/0.56 thf(func_def_489, type, sK237: $i > $i > $i). 1.20/0.56 thf(func_def_511, type, sK259: $i > $i). 1.20/0.56 thf(func_def_514, type, sK262: $i > $i). 1.20/0.56 thf(func_def_523, type, sK271: $o > $i > $i > $i). 1.20/0.56 thf(func_def_527, type, sK275: $i > $o). 1.20/0.56 thf(func_def_530, type, sK278: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_531, type, sK279: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_534, type, sK282: $i > $o). 1.20/0.56 thf(func_def_535, type, sK283: $i > $i). 1.20/0.56 thf(func_def_536, type, sK284: ($i > $o) > $i). 1.20/0.56 thf(func_def_545, type, sK293: ($i > $o) > $i). 1.20/0.56 thf(func_def_546, type, sK294: $i > $o). 1.20/0.56 thf(func_def_547, type, sK295: $i > $i). 1.20/0.56 thf(func_def_548, type, sK296: ($i > $o) > $i > $i > $i). 1.20/0.56 thf(func_def_551, type, sK299: $i > $o). 1.20/0.56 thf(func_def_555, type, sK303: $i > $i). 1.20/0.56 thf(func_def_560, type, sK308: $i > $i). 1.20/0.56 thf(func_def_569, type, sK317: ($i > $o) > ($i > $o) > $i). 1.20/0.56 thf(func_def_570, type, sK318: ($i > $o) > ($i > $o) > $i). 1.20/0.56 thf(func_def_571, type, sK319: $i > $o). 1.20/0.56 thf(func_def_572, type, sK320: $i > $o). 1.20/0.56 thf(func_def_573, type, sK321: $i > $o). 1.20/0.56 thf(func_def_575, type, sK323: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_580, type, sK328: ($i > $o) > ($i > $o) > $i > $i > $i). 1.20/0.56 thf(func_def_581, type, sK329: ($i > $o) > ($i > $o) > $i > $i > $i). 1.20/0.56 thf(func_def_584, type, sK332: $i > $o). 1.20/0.56 thf(func_def_585, type, sK333: $i > $o). 1.20/0.56 thf(func_def_586, type, sK334: $i > $o). 1.20/0.56 thf(func_def_587, type, sK335: $i > $o). 1.20/0.56 thf(func_def_588, type, sK336: ($i > $o) > ($i > $o) > $i). 1.20/0.56 thf(func_def_589, type, sK337: ($i > $o) > ($i > $o) > $i). 1.20/0.56 thf(func_def_611, type, sK359: $i > $i > $o). 1.20/0.56 thf(func_def_613, type, sK361: $i > $i). 1.20/0.56 thf(func_def_614, type, sK362: $i > $i). 1.20/0.56 thf(func_def_615, type, sK363: $i > ($i > $i > $o) > $i). 1.20/0.56 thf(func_def_616, type, sK364: $i > $i > ($i > $i > $o) > $i). 1.20/0.56 thf(func_def_617, type, sK365: $i > ($i > $i > $o) > $i). 1.20/0.56 thf(func_def_628, type, sK376: $i > $o). 1.20/0.56 thf(func_def_659, type, sK407: $i > $o). 1.20/0.56 thf(func_def_668, type, sK416: ($i > $o) > $i > $i > $i > $i). 1.20/0.56 thf(func_def_669, type, sK417: ($i > $o) > $i > $i > $i > $i). 1.20/0.56 thf(func_def_673, type, sK421: $i > $o). 1.20/0.56 thf(func_def_677, type, sK425: $i > $i > $i). 1.20/0.56 thf(func_def_680, type, sK428: ($i > $o) > $i). 1.20/0.56 thf(func_def_681, type, sK429: ($i > $o) > $i). 1.20/0.56 thf(func_def_682, type, sK430: $i > $o). 1.20/0.56 thf(func_def_688, type, sK436: $i > $o). 1.20/0.56 thf(func_def_691, type, sK439: $i > ($i > $o) > $i). 1.20/0.56 thf(func_def_692, type, sK440: $i > $i > $i). 1.20/0.56 thf(func_def_696, type, sK444: $i > $o). 1.20/0.56 thf(func_def_699, type, sK447: $i > $o). 1.20/0.56 thf(func_def_701, type, sK449: ($i > $o) > $i > $i). 1.20/0.56 thf(func_def_707, type, sK455: $i > $i > $o). 1.20/0.56 thf(func_def_723, type, sK471: $i > $i > $i). 1.20/0.56 thf(func_def_727, type, sK475: $i > $i > $o). 1.20/0.56 thf(func_def_736, type, sK484: $i > $i > $o). 1.20/0.56 thf(func_def_749, type, sK497: $i > $i > $i). 1.20/0.56 thf(func_def_784, type, sK532: ($i > $o) > $i > $i > $i > $i). 1.20/0.56 thf(func_def_785, type, sK533: ($i > $o) > $i > $i > $i > $i). 1.20/0.56 thf(func_def_789, type, sK537: $i > $o). 1.20/0.56 thf(func_def_801, type, sK549: $i > $o). 1.20/0.56 thf(func_def_804, type, sK552: $i > $i > $o). 1.20/0.56 thf(func_def_810, type, sK558: $i > $o). 1.20/0.56 thf(func_def_813, type, sK561: $i > ($i > $i) > $i > $i). 1.20/0.56 thf(func_def_815, type, sK563: $i > $i). 1.20/0.56 thf(func_def_818, type, sK566: $i > $i). 1.20/0.56 thf(func_def_821, type, sK569: $i > $o). 1.20/0.56 thf(func_def_827, type, sK575: $i > $i > $i). 1.20/0.56 thf(func_def_835, type, sK583: $i > $i > $i). 1.20/0.56 thf(func_def_845, type, sK593: $i > $i > $i). 1.20/0.56 thf(func_def_849, type, sK597: $i > $i). 1.20/0.56 thf(func_def_853, type, ph601: !>[X0: $tType]:(X0)). 1.20/0.56 thf(f2968,plain,( 1.20/0.56 $false), 1.20/0.56 inference(subsumption_resolution,[],[f2967,f2576])). 1.20/0.56 thf(f2576,plain,( 1.20/0.56 ($true = (in @ sK529 @ sK527))), 1.20/0.56 inference(cnf_transformation,[],[f1702])). 1.20/0.56 thf(f1702,plain,( 1.20/0.56 (symdiffE = $true) & (setminusEL = $true) & (upairsetIL = $true) & (powersetE1 = $true) & (binunionLsub = $true) & (subsetE2 = $true) & (in__Cong = $true) & (setunionsingleton1 = $true) & (setminusIRneg = $true) & (singletoninpowunion = $true) & (dpsetconstrERa = $true) & (setunionE = $true) & (setext = $true) & (exuE1 = $true) & (ubforcartprodlem3 = $true) & (upairinpowunion = $true) & (emptyI = $true) & (infuncsetfunc = $true) & (uniqinunit = $true) & (symdiffIneg1 = $true) & (setadjoinIR = $true) & (setextsub = $true) & (notdexE = $true) & (singletonsuniq = $true) & (quantDeMorgan3 = $true) & (singletonsswitch = $true) & (emptyE1 = $true) & (kpairp = $true) & (setukpairIL = $true) & (binintersectI = $true) & (subPowSU = $true) & (exuI2 = $true) & (eqinunit = $true) & (setbeta = $true) & (singletonprop = $true) & (secondinupair = $true) & (singletoninpowerset = $true) & (setukpairinjR12 = $true) & (powersetsubset = $true) & (setextAx = $true) & (setoftrueEq = $true) & (subset2powerset = $true) & (ubforcartprodlem2 = $true) & (cartprodpairin = $true) & (emptyInPowerset = $true) & (ap2p = $true) & (theprop = $true) & (setukpairinjR11 = $true) & (dsetconstr__Cong = $true) & (setOfPairsIsBReln = $true) & (binunionRsub = $true) & (setminusERneg = $true) & (exuEu = $true) & (quantDeMorgan4 = $true) & (cartprodfstin = $true) & (sepInPowerset = $true) & (ex1I = $true) & (dpsetconstrER = $true) & (ex1I2 = $true) & (upairsubunion = $true) & (ksndpairEq = $true) & (exuE3u = $true) & (setukpairinjL = $true) & (cartprodmempair1 = $true) & (binintersectSubset4 = $true) & (ex1E2 = $true) & (dsetconstrER = $true) & (descr__Cong = $true) & (binintersectSubset3 = $true) & (kpairsurjEq = $true) & (emptysetAx = $true) & (powersetAx = $true) & (emptysetsubset = $true) & (symdiffI2 = $true) & (upairsetE = $true) & (exuE2 = $true) & (binunionE = $true) & (nonemptyImpWitness = $true) & (upairequniteq = $true) & (apProp = $true) & (cartprodsndin = $true) & (quantDeMorgan1 = $true) & (app = $true) & (cartprodmempaircEq = $true) & (powersetI = $true) & (singletonsubset = $true) & (binunionIL = $true) & (setadjoinE = $true) & (binintersectSubset5 = $true) & (inPowerset = $true) & (notequalI2 = $true) & (powerset__Cong = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset1 = $true) & (funcinfuncset = $true) & (noeltsimpempty = $true) & (omegaIndAx = $true) & (emptyinPowerset = $true) & (emptysetimpfalse = $true) & (dpsetconstrEL1 = $true) & (setunionsingleton = $true) & (symdiffIneg2 = $true) & (powersetE = $true) & (upairset2E = $true) & (setminusLsub = $true) & (setukpairinjL1 = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (lamp = $true) & (setukpairinjR = $true) & (binintersectEL = $true) & (dpsetconstrSub = $true) & (cartprodsndpairEq = $true) & (ex1E1 = $true) & (disjointsetsI1 = $true) & (upairset2IR = $true) & (cartprodmempair = $true) & (binunionIR = $true) & (subsetemptysetimpeq = $true) & (notdallE = $true) & (setminusSubset1 = $true) & (dsetconstrI = $true) & (cartprodpairmemER = $true) & (exuE3e = $true) & (omegaSAx = $true) & (((in @ sK526 @ (funcSet @ sK527 @ sK528)) = $true) & (($true != (in @ (kpair @ sK529 @ (ap @ sK527 @ sK528 @ sK526 @ sK529)) @ sK526)) & ($true = (in @ sK529 @ sK527)))) & (replAx = $true) & (binintersectSubset2 = $true) & (dpsetconstrEL2 = $true) & (setunionE2 = $true) & (subsetRefl = $true) & (wellorderingAx = $true) & (setunionAx = $true) & (setminusELneg = $true) & (setminusER = $true) & (notequalI1 = $true) & (lamProp = $true) & (setukpairinjR2 = $true) & (eqimpsubset1 = $true) & (binintersectRsub = $true) & (binunionEcases = $true) & (descrp = $true) & (exuI1 = $true) & (sepSubset = $true) & (eqimpsubset2 = $true) & (inCongP = $true) & (setadjoinOr = $true) & (setadjoinIL = $true) & (funcImageSingleton = $true) & (setadjoinSub2 = $true) & (subsetI1 = $true) & (nonemptyE1 = $true) & (setukpairinjR1 = $true) & (prop2setE = $true) & (quantDeMorgan2 = $true) & (omega0Ax = $true) & (powersetI1 = $true) & (prop2setI = $true) & (subsetTrans = $true) & (nonemptyI1 = $true) & (setadjoinAx = $true) & (notinemptyset = $true) & (notinsingleton = $true) & (dpsetconstrI = $true) & (lam2p = $true) & (kfstpairEq = $true) & (funcGraphProp1 = $true) & (notsubsetI = $true) & (emptyinunitempty = $true) & (brelnall2 = $true) & (setukpairinjL2 = $true) & (setukpairIR = $true) & (prop2set2propI = $true) & (cartprodpairmemEL = $true) & (foundationAx = $true) & (setunionsingleton2 = $true) & (kpairiskpair = $true) & (symdiffI1 = $true) & (omega__Cong = $true) & (bs114d = $true) & (binintersectER = $true) & (upairsetIR = $true) & (setminusSubset2 = $true) & (emptysetE = $true) & (ubforcartprodlem1 = $true) & (exuI3 = $true) & (ksndsingleton = $true) & (nonemptyI = $true) & (cartprodfstpairEq = $true) & (binintersectLsub = $true) & (setunion__Cong = $true) & (setadjoinSub = $true) & (brelnall1 = $true) & (kfstsingleton = $true) & (subsetE = $true) & (setunionI = $true) & (exu__Cong = $true) & (dsetconstrEL = $true) & (subsetI2 = $true) & (emptyset__Cong = $true) & (vacuousDall = $true) & (setminusILneg = $true)), 1.20/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK526,sK527,sK528,sK529])],[f856,f1701,f1700])). 1.20/0.56 thf(f1700,plain,( 1.20/0.56 ? [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) = $true) & ? [X3] : (((in @ (kpair @ X3 @ (ap @ X1 @ X2 @ X0 @ X3)) @ X0) != $true) & ((in @ X3 @ X1) = $true))) => (((in @ sK526 @ (funcSet @ sK527 @ sK528)) = $true) & ? [X3] : (((in @ (kpair @ X3 @ (ap @ sK527 @ sK528 @ sK526 @ X3)) @ sK526) != $true) & ($true = (in @ X3 @ sK527))))), 1.20/0.56 introduced(choice_axiom,[])). 1.20/0.56 thf(f1701,plain,( 1.20/0.56 ? [X3] : (((in @ (kpair @ X3 @ (ap @ sK527 @ sK528 @ sK526 @ X3)) @ sK526) != $true) & ($true = (in @ X3 @ sK527))) => (($true != (in @ (kpair @ sK529 @ (ap @ sK527 @ sK528 @ sK526 @ sK529)) @ sK526)) & ($true = (in @ sK529 @ sK527)))), 1.20/0.56 introduced(choice_axiom,[])). 1.20/0.56 thf(f856,plain,( 1.20/0.56 (symdiffE = $true) & (setminusEL = $true) & (upairsetIL = $true) & (powersetE1 = $true) & (binunionLsub = $true) & (subsetE2 = $true) & (in__Cong = $true) & (setunionsingleton1 = $true) & (setminusIRneg = $true) & (singletoninpowunion = $true) & (dpsetconstrERa = $true) & (setunionE = $true) & (setext = $true) & (exuE1 = $true) & (ubforcartprodlem3 = $true) & (upairinpowunion = $true) & (emptyI = $true) & (infuncsetfunc = $true) & (uniqinunit = $true) & (symdiffIneg1 = $true) & (setadjoinIR = $true) & (setextsub = $true) & (notdexE = $true) & (singletonsuniq = $true) & (quantDeMorgan3 = $true) & (singletonsswitch = $true) & (emptyE1 = $true) & (kpairp = $true) & (setukpairIL = $true) & (binintersectI = $true) & (subPowSU = $true) & (exuI2 = $true) & (eqinunit = $true) & (setbeta = $true) & (singletonprop = $true) & (secondinupair = $true) & (singletoninpowerset = $true) & (setukpairinjR12 = $true) & (powersetsubset = $true) & (setextAx = $true) & (setoftrueEq = $true) & (subset2powerset = $true) & (ubforcartprodlem2 = $true) & (cartprodpairin = $true) & (emptyInPowerset = $true) & (ap2p = $true) & (theprop = $true) & (setukpairinjR11 = $true) & (dsetconstr__Cong = $true) & (setOfPairsIsBReln = $true) & (binunionRsub = $true) & (setminusERneg = $true) & (exuEu = $true) & (quantDeMorgan4 = $true) & (cartprodfstin = $true) & (sepInPowerset = $true) & (ex1I = $true) & (dpsetconstrER = $true) & (ex1I2 = $true) & (upairsubunion = $true) & (ksndpairEq = $true) & (exuE3u = $true) & (setukpairinjL = $true) & (cartprodmempair1 = $true) & (binintersectSubset4 = $true) & (ex1E2 = $true) & (dsetconstrER = $true) & (descr__Cong = $true) & (binintersectSubset3 = $true) & (kpairsurjEq = $true) & (emptysetAx = $true) & (powersetAx = $true) & (emptysetsubset = $true) & (symdiffI2 = $true) & (upairsetE = $true) & (exuE2 = $true) & (binunionE = $true) & (nonemptyImpWitness = $true) & (upairequniteq = $true) & (apProp = $true) & (cartprodsndin = $true) & (quantDeMorgan1 = $true) & (app = $true) & (cartprodmempaircEq = $true) & (powersetI = $true) & (singletonsubset = $true) & (binunionIL = $true) & (setadjoinE = $true) & (binintersectSubset5 = $true) & (inPowerset = $true) & (notequalI2 = $true) & (powerset__Cong = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset1 = $true) & (funcinfuncset = $true) & (noeltsimpempty = $true) & (omegaIndAx = $true) & (emptyinPowerset = $true) & (emptysetimpfalse = $true) & (dpsetconstrEL1 = $true) & (setunionsingleton = $true) & (symdiffIneg2 = $true) & (powersetE = $true) & (upairset2E = $true) & (setminusLsub = $true) & (setukpairinjL1 = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (lamp = $true) & (setukpairinjR = $true) & (binintersectEL = $true) & (dpsetconstrSub = $true) & (cartprodsndpairEq = $true) & (ex1E1 = $true) & (disjointsetsI1 = $true) & (upairset2IR = $true) & (cartprodmempair = $true) & (binunionIR = $true) & (subsetemptysetimpeq = $true) & (notdallE = $true) & (setminusSubset1 = $true) & (dsetconstrI = $true) & (cartprodpairmemER = $true) & (exuE3e = $true) & (omegaSAx = $true) & ? [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) = $true) & ? [X3] : (((in @ (kpair @ X3 @ (ap @ X1 @ X2 @ X0 @ X3)) @ X0) != $true) & ((in @ X3 @ X1) = $true))) & (replAx = $true) & (binintersectSubset2 = $true) & (dpsetconstrEL2 = $true) & (setunionE2 = $true) & (subsetRefl = $true) & (wellorderingAx = $true) & (setunionAx = $true) & (setminusELneg = $true) & (setminusER = $true) & (notequalI1 = $true) & (lamProp = $true) & (setukpairinjR2 = $true) & (eqimpsubset1 = $true) & (binintersectRsub = $true) & (binunionEcases = $true) & (descrp = $true) & (exuI1 = $true) & (sepSubset = $true) & (eqimpsubset2 = $true) & (inCongP = $true) & (setadjoinOr = $true) & (setadjoinIL = $true) & (funcImageSingleton = $true) & (setadjoinSub2 = $true) & (subsetI1 = $true) & (nonemptyE1 = $true) & (setukpairinjR1 = $true) & (prop2setE = $true) & (quantDeMorgan2 = $true) & (omega0Ax = $true) & (powersetI1 = $true) & (prop2setI = $true) & (subsetTrans = $true) & (nonemptyI1 = $true) & (setadjoinAx = $true) & (notinemptyset = $true) & (notinsingleton = $true) & (dpsetconstrI = $true) & (lam2p = $true) & (kfstpairEq = $true) & (funcGraphProp1 = $true) & (notsubsetI = $true) & (emptyinunitempty = $true) & (brelnall2 = $true) & (setukpairinjL2 = $true) & (setukpairIR = $true) & (prop2set2propI = $true) & (cartprodpairmemEL = $true) & (foundationAx = $true) & (setunionsingleton2 = $true) & (kpairiskpair = $true) & (symdiffI1 = $true) & (omega__Cong = $true) & (bs114d = $true) & (binintersectER = $true) & (upairsetIR = $true) & (setminusSubset2 = $true) & (emptysetE = $true) & (ubforcartprodlem1 = $true) & (exuI3 = $true) & (ksndsingleton = $true) & (nonemptyI = $true) & (cartprodfstpairEq = $true) & (binintersectLsub = $true) & (setunion__Cong = $true) & (setadjoinSub = $true) & (brelnall1 = $true) & (kfstsingleton = $true) & (subsetE = $true) & (setunionI = $true) & (exu__Cong = $true) & (dsetconstrEL = $true) & (subsetI2 = $true) & (emptyset__Cong = $true) & (vacuousDall = $true) & (setminusILneg = $true)), 1.20/0.56 inference(flattening,[],[f855])). 1.20/0.56 thf(f855,plain,( 1.20/0.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) = $true) & ? [X3] : (((in @ (kpair @ X3 @ (ap @ X1 @ X2 @ X0 @ X3)) @ X0) != $true) & ((in @ X3 @ X1) = $true))) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.20/0.56 inference(ennf_transformation,[],[f263])). 1.20/0.56 thf(f263,plain,( 1.20/0.56 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ! [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => ((in @ (kpair @ X3 @ (ap @ X1 @ X2 @ X0 @ X3)) @ X0) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.20/0.56 inference(fool_elimination,[],[f262])). 1.20/0.56 thf(f262,plain,( 1.20/0.56 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => ! [X0,X1,X2] : ((in @ X0 @ (funcSet @ X1 @ X2)) => ! [X3] : ((in @ X3 @ X1) => (in @ (kpair @ X3 @ (ap @ X1 @ X2 @ X0 @ X3)) @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.20/0.56 inference(rectify,[],[f210])). 1.20/0.56 thf(f210,negated_conjecture,( 1.20/0.56 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => ! [X13,X3,X4] : ((in @ X13 @ (funcSet @ X3 @ X4)) => ! [X1] : ((in @ X1 @ X3) => (in @ (kpair @ X1 @ (ap @ X3 @ X4 @ X13 @ X1)) @ X13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.20/0.57 inference(negated_conjecture,[],[f209])). 1.20/0.57 thf(f209,conjecture,( 1.20/0.57 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => ! [X13,X3,X4] : ((in @ X13 @ (funcSet @ X3 @ X4)) => ! [X1] : ((in @ X1 @ X3) => (in @ (kpair @ X1 @ (ap @ X3 @ X4 @ X13 @ X1)) @ X13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.20/0.57 file('/export/starexec/sandbox2/tmp/tmp.2be1vQEo1N/Vampire---4.8_17186',funcGraphProp3)). 1.20/0.57 thf(f2967,plain,( 1.20/0.57 ($true != (in @ sK529 @ sK527))), 1.20/0.57 inference(subsumption_resolution,[],[f2966,f2951])). 1.20/0.57 thf(f2951,plain,( 1.20/0.57 ((func @ sK527 @ sK528 @ sK526) = $true)), 1.20/0.57 inference(subsumption_resolution,[],[f2950,f2686])). 1.20/0.57 thf(f2686,plain,( 1.20/0.57 (infuncsetfunc = $true)), 1.20/0.57 inference(cnf_transformation,[],[f1702])). 1.20/0.57 thf(f2950,plain,( 1.20/0.57 ((func @ sK527 @ sK528 @ sK526) = $true) | (infuncsetfunc != $true)), 1.20/0.57 inference(trivial_inequality_removal,[],[f2947])). 1.20/0.57 thf(f2947,plain,( 1.20/0.57 ((func @ sK527 @ sK528 @ sK526) = $true) | ($true != $true) | (infuncsetfunc != $true)), 1.20/0.57 inference(superposition,[],[f2363,f2578])). 1.20/0.57 thf(f2578,plain,( 1.20/0.57 ((in @ sK526 @ (funcSet @ sK527 @ sK528)) = $true)), 1.20/0.57 inference(cnf_transformation,[],[f1702])). 1.20/0.57 thf(f2363,plain,( 1.20/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ (funcSet @ X1 @ X2)) != $true) | (infuncsetfunc != $true) | ((func @ X1 @ X2 @ X0) = $true)) )), 1.20/0.57 inference(cnf_transformation,[],[f1534])). 1.20/0.57 thf(f1534,plain,( 1.20/0.57 (! [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) != $true) | ((func @ X1 @ X2 @ X0) = $true)) | (infuncsetfunc != $true)) & ((infuncsetfunc = $true) | (($true = (in @ sK412 @ (funcSet @ sK413 @ sK414))) & ($true != (func @ sK413 @ sK414 @ sK412))))), 1.20/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK412,sK413,sK414])],[f1532,f1533])). 1.20/0.57 thf(f1533,plain,( 1.20/0.57 ? [X3,X4,X5] : (((in @ X3 @ (funcSet @ X4 @ X5)) = $true) & ((func @ X4 @ X5 @ X3) != $true)) => (($true = (in @ sK412 @ (funcSet @ sK413 @ sK414))) & ($true != (func @ sK413 @ sK414 @ sK412)))), 1.20/0.57 introduced(choice_axiom,[])). 1.20/0.57 thf(f1532,plain,( 1.20/0.57 (! [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) != $true) | ((func @ X1 @ X2 @ X0) = $true)) | (infuncsetfunc != $true)) & ((infuncsetfunc = $true) | ? [X3,X4,X5] : (((in @ X3 @ (funcSet @ X4 @ X5)) = $true) & ((func @ X4 @ X5 @ X3) != $true)))), 1.20/0.57 inference(rectify,[],[f1531])). 1.20/0.57 thf(f1531,plain,( 1.20/0.57 (! [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) != $true) | ((func @ X1 @ X2 @ X0) = $true)) | (infuncsetfunc != $true)) & ((infuncsetfunc = $true) | ? [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) = $true) & ((func @ X1 @ X2 @ X0) != $true)))), 1.20/0.57 inference(nnf_transformation,[],[f810])). 1.20/0.57 thf(f810,plain,( 1.20/0.57 ! [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) != $true) | ((func @ X1 @ X2 @ X0) = $true)) <=> (infuncsetfunc = $true)), 1.20/0.57 inference(ennf_transformation,[],[f398])). 1.20/0.57 thf(f398,plain,( 1.20/0.57 (infuncsetfunc = $true) <=> ! [X0,X1,X2] : (((in @ X0 @ (funcSet @ X1 @ X2)) = $true) => ((func @ X1 @ X2 @ X0) = $true))), 1.20/0.57 inference(fool_elimination,[],[f397])). 1.20/0.57 thf(f397,plain,( 1.20/0.57 (infuncsetfunc = ! [X0,X1,X2] : ((in @ X0 @ (funcSet @ X1 @ X2)) => (func @ X1 @ X2 @ X0)))), 1.20/0.57 inference(rectify,[],[f198])). 1.20/0.57 thf(f198,axiom,( 1.20/0.57 (infuncsetfunc = ! [X13,X3,X4] : ((in @ X13 @ (funcSet @ X3 @ X4)) => (func @ X3 @ X4 @ X13)))), 1.20/0.57 file('/export/starexec/sandbox2/tmp/tmp.2be1vQEo1N/Vampire---4.8_17186',infuncsetfunc)). 1.20/0.57 thf(f2966,plain,( 1.20/0.57 ((func @ sK527 @ sK528 @ sK526) != $true) | ($true != (in @ sK529 @ sK527))), 1.20/0.57 inference(subsumption_resolution,[],[f2960,f2535])). 1.20/0.57 thf(f2535,plain,( 1.20/0.57 (funcGraphProp1 = $true)), 1.20/0.57 inference(cnf_transformation,[],[f1702])). 1.20/0.57 thf(f2960,plain,( 1.20/0.57 (funcGraphProp1 != $true) | ($true != (in @ sK529 @ sK527)) | ((func @ sK527 @ sK528 @ sK526) != $true)), 1.20/0.57 inference(trivial_inequality_removal,[],[f2953])). 1.20/0.57 thf(f2953,plain,( 1.20/0.57 ((func @ sK527 @ sK528 @ sK526) != $true) | ($true != $true) | (funcGraphProp1 != $true) | ($true != (in @ sK529 @ sK527))), 1.20/0.57 inference(superposition,[],[f2577,f1883])). 1.20/0.57 thf(f1883,plain,( 1.20/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) = $true) | ((func @ X2 @ X0 @ X1) != $true) | (funcGraphProp1 != $true) | ($true != (in @ X3 @ X2))) )), 1.20/0.57 inference(cnf_transformation,[],[f972])). 1.20/0.57 thf(f972,plain,( 1.20/0.57 (! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) = $true))) | (funcGraphProp1 != $true)) & ((funcGraphProp1 = $true) | (($true = (func @ sK56 @ sK54 @ sK55)) & (($true = (in @ sK57 @ sK56)) & ($true != (in @ (kpair @ sK57 @ (ap @ sK56 @ sK54 @ sK55 @ sK57)) @ sK55)))))), 1.20/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56,sK57])],[f969,f971,f970])). 1.20/0.57 thf(f970,plain,( 1.20/0.57 ? [X4,X5,X6] : (($true = (func @ X6 @ X4 @ X5)) & ? [X7] : (($true = (in @ X7 @ X6)) & ($true != (in @ (kpair @ X7 @ (ap @ X6 @ X4 @ X5 @ X7)) @ X5)))) => (($true = (func @ sK56 @ sK54 @ sK55)) & ? [X7] : (((in @ X7 @ sK56) = $true) & ((in @ (kpair @ X7 @ (ap @ sK56 @ sK54 @ sK55 @ X7)) @ sK55) != $true)))), 1.20/0.57 introduced(choice_axiom,[])). 1.20/0.57 thf(f971,plain,( 1.20/0.57 ? [X7] : (((in @ X7 @ sK56) = $true) & ((in @ (kpair @ X7 @ (ap @ sK56 @ sK54 @ sK55 @ X7)) @ sK55) != $true)) => (($true = (in @ sK57 @ sK56)) & ($true != (in @ (kpair @ sK57 @ (ap @ sK56 @ sK54 @ sK55 @ sK57)) @ sK55)))), 1.20/0.57 introduced(choice_axiom,[])). 1.20/0.57 thf(f969,plain,( 1.20/0.57 (! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) = $true))) | (funcGraphProp1 != $true)) & ((funcGraphProp1 = $true) | ? [X4,X5,X6] : (($true = (func @ X6 @ X4 @ X5)) & ? [X7] : (($true = (in @ X7 @ X6)) & ($true != (in @ (kpair @ X7 @ (ap @ X6 @ X4 @ X5 @ X7)) @ X5)))))), 1.20/0.57 inference(rectify,[],[f968])). 1.20/0.57 thf(f968,plain,( 1.20/0.57 (! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) = $true))) | (funcGraphProp1 != $true)) & ((funcGraphProp1 = $true) | ? [X0,X1,X2] : (((func @ X2 @ X0 @ X1) = $true) & ? [X3] : (($true = (in @ X3 @ X2)) & ((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) != $true))))), 1.20/0.57 inference(nnf_transformation,[],[f694])). 1.20/0.57 thf(f694,plain,( 1.20/0.57 ! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) | ! [X3] : (($true != (in @ X3 @ X2)) | ((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) = $true))) <=> (funcGraphProp1 = $true)), 1.20/0.57 inference(ennf_transformation,[],[f410])). 1.20/0.57 thf(f410,plain,( 1.20/0.57 (funcGraphProp1 = $true) <=> ! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) = $true) => ! [X3] : (($true = (in @ X3 @ X2)) => ((in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1) = $true)))), 1.20/0.57 inference(fool_elimination,[],[f409])). 1.20/0.57 thf(f409,plain,( 1.20/0.57 (funcGraphProp1 = ! [X0,X1,X2] : ((func @ X2 @ X0 @ X1) => ! [X3] : ((in @ X3 @ X2) => (in @ (kpair @ X3 @ (ap @ X2 @ X0 @ X1 @ X3)) @ X1))))), 1.20/0.57 inference(rectify,[],[f208])). 1.20/0.57 thf(f208,axiom,( 1.20/0.57 (funcGraphProp1 = ! [X4,X13,X3] : ((func @ X3 @ X4 @ X13) => ! [X1] : ((in @ X1 @ X3) => (in @ (kpair @ X1 @ (ap @ X3 @ X4 @ X13 @ X1)) @ X13))))), 1.20/0.57 file('/export/starexec/sandbox2/tmp/tmp.2be1vQEo1N/Vampire---4.8_17186',funcGraphProp1)). 1.20/0.57 thf(f2577,plain,( 1.20/0.57 ($true != (in @ (kpair @ sK529 @ (ap @ sK527 @ sK528 @ sK526 @ sK529)) @ sK526))), 1.20/0.57 inference(cnf_transformation,[],[f1702])). 1.20/0.57 % SZS output end Proof for Vampire---4 1.20/0.57 % (17301)------------------------------ 1.20/0.57 % (17301)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.20/0.57 % (17301)Termination reason: Refutation 1.20/0.57 1.20/0.57 % (17301)Memory used [KB]: 9210 1.20/0.57 % (17301)Time elapsed: 0.143 s 1.20/0.57 % (17301)Instructions burned: 243 (million) 1.20/0.57 % (17301)------------------------------ 1.20/0.57 % (17301)------------------------------ 1.20/0.57 % (17293)Success in time 0.16 s 1.20/0.57 % Vampire---4.8 exiting 1.20/0.57 EOF