0.08/0.14 % Problem : Vampire---4.8_14581 : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.34 % Computer : n006.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 13:05:21 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.35 This is a THF_ problem 0.14/0.35 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.gnkont6aPM/Vampire---4.8_14581 -m 12000 -t 180 0.14/0.39 % (14690)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.39 % (14693)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.39 % (14691)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) 0.14/0.39 % (14689)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.39 % (14696)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) 0.14/0.39 % (14692)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) 0.14/0.39 % (14694)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) 0.14/0.39 % (14695)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) 0.14/0.39 % (14695)Instruction limit reached! 0.14/0.39 % (14695)------------------------------ 0.14/0.39 % (14695)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (14695)Termination reason: Unknown 0.14/0.39 % (14695)Termination phase: shuffling 0.14/0.39 0.14/0.39 % (14695)Memory used [KB]: 1535 0.14/0.39 % (14695)Time elapsed: 0.003 s 0.14/0.39 % (14695)Instructions burned: 4 (million) 0.14/0.39 % (14695)------------------------------ 0.14/0.39 % (14695)------------------------------ 0.14/0.39 % (14693)Instruction limit reached! 0.14/0.39 % (14693)------------------------------ 0.14/0.39 % (14693)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (14693)Termination reason: Unknown 0.14/0.39 % (14693)Termination phase: shuffling 0.14/0.39 0.14/0.39 % (14693)Memory used [KB]: 1791 0.14/0.39 % (14693)Time elapsed: 0.009 s 0.14/0.39 % (14693)Instructions burned: 18 (million) 0.14/0.39 % (14693)------------------------------ 0.14/0.39 % (14693)------------------------------ 0.14/0.40 % (14691)Instruction limit reached! 0.14/0.40 % (14691)------------------------------ 0.14/0.40 % (14691)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.40 % (14691)Termination reason: Unknown 0.14/0.40 % (14691)Termination phase: shuffling 0.14/0.40 0.14/0.40 % (14691)Memory used [KB]: 2174 0.14/0.40 % (14691)Time elapsed: 0.017 s 0.14/0.40 % (14691)Instructions burned: 34 (million) 0.14/0.40 % (14691)------------------------------ 0.14/0.40 % (14691)------------------------------ 0.19/0.40 % (14690)Instruction limit reached! 0.19/0.40 % (14690)------------------------------ 0.19/0.40 % (14690)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.40 % (14690)Termination reason: Unknown 0.19/0.40 % (14690)Termination phase: shuffling 0.19/0.40 0.19/0.40 % (14690)Memory used [KB]: 2302 0.19/0.40 % (14690)Time elapsed: 0.018 s 0.19/0.40 % (14690)Instructions burned: 38 (million) 0.19/0.40 % (14690)------------------------------ 0.19/0.40 % (14690)------------------------------ 0.19/0.40 % (14697)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) 0.19/0.41 % (14698)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.19/0.41 % (14698)Instruction limit reached! 0.19/0.41 % (14698)------------------------------ 0.19/0.41 % (14698)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.41 % (14698)Termination reason: Unknown 0.19/0.41 % (14698)Termination phase: shuffling 0.19/0.41 0.19/0.41 % (14698)Memory used [KB]: 1535 0.19/0.41 % (14698)Time elapsed: 0.005 s 0.19/0.41 % (14698)Instructions burned: 8 (million) 0.19/0.41 % (14698)------------------------------ 0.19/0.41 % (14698)------------------------------ 0.19/0.41 % (14697)Instruction limit reached! 0.19/0.41 % (14697)------------------------------ 0.19/0.41 % (14697)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.41 % (14697)Termination reason: Unknown 0.19/0.41 % (14697)Termination phase: shuffling 0.19/0.41 0.19/0.41 % (14697)Memory used [KB]: 1918 0.19/0.41 % (14697)Time elapsed: 0.012 s 0.19/0.41 % (14697)Instructions burned: 22 (million) 0.19/0.41 % (14697)------------------------------ 0.19/0.41 % (14697)------------------------------ 0.19/0.41 % (14699)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) 0.19/0.41 % (14700)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) 0.19/0.42 % (14694)Instruction limit reached! 0.19/0.42 % (14694)------------------------------ 0.19/0.42 % (14694)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.42 % (14694)Termination reason: Unknown 0.19/0.42 % (14694)Termination phase: Property scanning 0.19/0.42 0.19/0.42 % (14694)Memory used [KB]: 2430 0.19/0.42 % (14694)Time elapsed: 0.034 s 0.19/0.42 % (14694)Instructions burned: 75 (million) 0.19/0.42 % (14694)------------------------------ 0.19/0.42 % (14694)------------------------------ 0.19/0.42 % (14701)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) 0.19/0.43 % (14702)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) 0.19/0.43 % (14701)Instruction limit reached! 0.19/0.43 % (14701)------------------------------ 0.19/0.43 % (14701)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.43 % (14701)Termination reason: Unknown 0.19/0.43 % (14701)Termination phase: shuffling 0.19/0.43 0.19/0.43 % (14701)Memory used [KB]: 1535 0.19/0.43 % (14701)Time elapsed: 0.005 s 0.19/0.43 % (14701)Instructions burned: 9 (million) 0.19/0.43 % (14701)------------------------------ 0.19/0.43 % (14701)------------------------------ 0.19/0.43 % (14689)Instruction limit reached! 0.19/0.43 % (14689)------------------------------ 0.19/0.43 % (14689)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.43 % (14689)Termination reason: Unknown 0.19/0.43 % (14689)Termination phase: Property scanning 0.19/0.43 0.19/0.43 % (14689)Memory used [KB]: 2558 0.19/0.43 % (14689)Time elapsed: 0.043 s 0.19/0.43 % (14689)Instructions burned: 98 (million) 0.19/0.43 % (14689)------------------------------ 0.19/0.43 % (14689)------------------------------ 0.19/0.43 % (14703)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) 0.19/0.44 % (14704)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.19/0.44 % (14705)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.19/0.45 % (14700)Instruction limit reached! 0.19/0.45 % (14700)------------------------------ 0.19/0.45 % (14700)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (14700)Termination reason: Unknown 0.19/0.45 % (14700)Termination phase: Property scanning 0.19/0.45 0.19/0.45 % (14700)Memory used [KB]: 2430 0.19/0.45 % (14700)Time elapsed: 0.032 s 0.19/0.45 % (14700)Instructions burned: 71 (million) 0.19/0.45 % (14700)------------------------------ 0.19/0.45 % (14700)------------------------------ 0.19/0.45 % (14705)Instruction limit reached! 0.19/0.45 % (14705)------------------------------ 0.19/0.45 % (14705)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.45 % (14705)Termination reason: Unknown 0.19/0.45 % (14705)Termination phase: shuffling 0.19/0.45 0.19/0.45 % (14705)Memory used [KB]: 1791 0.19/0.45 % (14705)Time elapsed: 0.009 s 0.19/0.45 % (14705)Instructions burned: 14 (million) 0.19/0.45 % (14705)------------------------------ 0.19/0.45 % (14705)------------------------------ 0.19/0.46 % (14706)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) 0.19/0.46 % (14706)Instruction limit reached! 0.19/0.46 % (14706)------------------------------ 0.19/0.46 % (14706)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.46 % (14706)Termination reason: Unknown 0.19/0.46 % (14706)Termination phase: shuffling 0.19/0.46 0.19/0.46 % (14706)Memory used [KB]: 1407 0.19/0.46 % (14706)Time elapsed: 0.003 s 0.19/0.46 % (14706)Instructions burned: 3 (million) 0.19/0.46 % (14706)------------------------------ 0.19/0.46 % (14706)------------------------------ 0.19/0.46 % (14707)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) 0.19/0.47 % (14704)Instruction limit reached! 0.19/0.47 % (14704)------------------------------ 0.19/0.47 % (14704)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.47 % (14704)Termination reason: Unknown 0.19/0.47 % (14704)Termination phase: Preprocessing 3 0.19/0.47 0.19/0.47 % (14704)Memory used [KB]: 2686 0.19/0.47 % (14704)Time elapsed: 0.030 s 0.19/0.47 % (14704)Instructions burned: 61 (million) 0.19/0.47 % (14704)------------------------------ 0.19/0.47 % (14704)------------------------------ 0.19/0.47 % (14708)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) 0.19/0.48 % (14708)Instruction limit reached! 0.19/0.48 % (14708)------------------------------ 0.19/0.48 % (14708)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.48 % (14708)Termination reason: Unknown 0.19/0.48 % (14708)Termination phase: shuffling 0.19/0.48 0.19/0.48 % (14708)Memory used [KB]: 1663 0.19/0.48 % (14708)Time elapsed: 0.007 s 0.19/0.48 % (14708)Instructions burned: 12 (million) 0.19/0.48 % (14708)------------------------------ 0.19/0.48 % (14708)------------------------------ 0.19/0.48 % (14709)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) 0.19/0.49 % (14703)Instruction limit reached! 0.19/0.49 % (14703)------------------------------ 0.19/0.49 % (14703)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.49 % (14703)Termination reason: Unknown 0.19/0.49 % (14703)Termination phase: Function definition elimination 0.19/0.49 0.19/0.49 % (14703)Memory used [KB]: 2686 0.19/0.49 % (14703)Time elapsed: 0.056 s 0.19/0.49 % (14703)Instructions burned: 130 (million) 0.19/0.49 % (14703)------------------------------ 0.19/0.49 % (14703)------------------------------ 0.19/0.49 % (14710)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) 0.19/0.50 % (14711)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 0.19/0.50 % (14710)Instruction limit reached! 0.19/0.50 % (14710)------------------------------ 0.19/0.50 % (14710)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.50 % (14710)Termination reason: Unknown 0.19/0.50 % (14710)Termination phase: shuffling 0.19/0.50 0.19/0.50 % (14710)Memory used [KB]: 1918 0.19/0.50 % (14710)Time elapsed: 0.013 s 0.19/0.50 % (14710)Instructions burned: 26 (million) 0.19/0.50 % (14710)------------------------------ 0.19/0.50 % (14710)------------------------------ 0.19/0.52 % (14712)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 0.19/0.52 % (14711)Instruction limit reached! 0.19/0.52 % (14711)------------------------------ 0.19/0.52 % (14711)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.52 % (14711)Termination reason: Unknown 0.19/0.52 % (14711)Termination phase: Property scanning 0.19/0.52 0.19/0.52 % (14711)Memory used [KB]: 2430 0.19/0.52 % (14711)Time elapsed: 0.027 s 0.19/0.52 % (14711)Instructions burned: 57 (million) 0.19/0.52 % (14711)------------------------------ 0.19/0.52 % (14711)------------------------------ 0.19/0.54 % (14709)Instruction limit reached! 0.19/0.54 % (14709)------------------------------ 0.19/0.54 % (14709)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.54 % (14709)Termination reason: Unknown 0.19/0.54 % (14709)Termination phase: Property scanning 0.19/0.54 0.19/0.54 % (14709)Memory used [KB]: 2686 0.19/0.54 % (14709)Time elapsed: 0.058 s 0.19/0.54 % (14709)Instructions burned: 141 (million) 0.19/0.54 % (14709)------------------------------ 0.19/0.54 % (14709)------------------------------ 0.19/0.54 % (14713)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.19/0.54 % (14713)Instruction limit reached! 0.19/0.54 % (14713)------------------------------ 0.19/0.54 % (14713)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.54 % (14713)Termination reason: Unknown 0.19/0.54 % (14713)Termination phase: shuffling 0.19/0.54 0.19/0.54 % (14713)Memory used [KB]: 1535 0.19/0.54 % (14713)Time elapsed: 0.004 s 0.19/0.54 % (14713)Instructions burned: 5 (million) 0.19/0.54 % (14713)------------------------------ 0.19/0.54 % (14713)------------------------------ 0.19/0.55 % (14714)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi) 0.19/0.55 % (14692)Instruction limit reached! 0.19/0.55 % (14692)------------------------------ 0.19/0.55 % (14692)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.55 % (14692)Termination reason: Unknown 0.19/0.55 % (14692)Termination phase: Saturation 0.19/0.55 0.19/0.55 % (14692)Memory used [KB]: 9338 0.19/0.55 % (14692)Time elapsed: 0.167 s 0.19/0.55 % (14692)Instructions burned: 386 (million) 0.19/0.55 % (14692)------------------------------ 0.19/0.55 % (14692)------------------------------ 0.19/0.55 % (14715)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) 0.19/0.56 % (14714)Instruction limit reached! 0.19/0.56 % (14714)------------------------------ 0.19/0.56 % (14714)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.56 % (14714)Termination reason: Unknown 0.19/0.56 % (14714)Termination phase: shuffling 0.19/0.56 0.19/0.56 % (14714)Memory used [KB]: 1791 0.19/0.56 % (14714)Time elapsed: 0.010 s 0.19/0.56 % (14714)Instructions burned: 20 (million) 0.19/0.56 % (14714)------------------------------ 0.19/0.56 % (14714)------------------------------ 0.19/0.57 % (14716)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1797ds/191Mi) 0.19/0.57 % (14717)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) 0.19/0.57 % (14715)Instruction limit reached! 0.19/0.57 % (14715)------------------------------ 0.19/0.57 % (14715)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.57 % (14715)Termination reason: Unknown 0.19/0.57 % (14715)Termination phase: shuffling 0.19/0.57 0.19/0.57 % (14715)Memory used [KB]: 2302 0.19/0.57 % (14715)Time elapsed: 0.021 s 0.19/0.57 % (14715)Instructions burned: 44 (million) 0.19/0.57 % (14715)------------------------------ 0.19/0.57 % (14715)------------------------------ 0.19/0.59 % (14718)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) 0.19/0.60 % (14717)Instruction limit reached! 0.19/0.60 % (14717)------------------------------ 0.19/0.60 % (14717)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.60 % (14717)Termination reason: Unknown 0.19/0.60 % (14717)Termination phase: Property scanning 0.19/0.60 0.19/0.60 % (14717)Memory used [KB]: 2430 0.19/0.60 % (14717)Time elapsed: 0.027 s 0.19/0.60 % (14717)Instructions burned: 62 (million) 0.19/0.60 % (14717)------------------------------ 0.19/0.60 % (14717)------------------------------ 0.19/0.61 % (14719)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 0.19/0.61 % (14719)Instruction limit reached! 0.19/0.61 % (14719)------------------------------ 0.19/0.61 % (14719)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.19/0.61 % (14719)Termination reason: Unknown 0.19/0.61 % (14719)Termination phase: shuffling 0.19/0.61 0.19/0.61 % (14719)Memory used [KB]: 1535 0.19/0.61 % (14719)Time elapsed: 0.003 s 0.19/0.61 % (14719)Instructions burned: 3 (million) 0.19/0.61 % (14719)------------------------------ 0.19/0.61 % (14719)------------------------------ 1.95/0.63 % (14720)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on Vampire---4 for (1797ds/238Mi) 2.16/0.63 % (14718)Instruction limit reached! 2.16/0.63 % (14718)------------------------------ 2.16/0.63 % (14718)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.16/0.63 % (14718)Termination reason: Unknown 2.16/0.63 % (14718)Termination phase: Property scanning 2.16/0.63 2.16/0.63 % (14718)Memory used [KB]: 2558 2.16/0.63 % (14718)Time elapsed: 0.047 s 2.16/0.63 % (14718)Instructions burned: 105 (million) 2.16/0.63 % (14718)------------------------------ 2.16/0.63 % (14718)------------------------------ 2.17/0.64 % (14696)First to succeed. 2.17/0.64 % (14712)Instruction limit reached! 2.17/0.64 % (14712)------------------------------ 2.17/0.64 % (14712)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.17/0.64 % (14712)Termination reason: Unknown 2.17/0.64 % (14712)Termination phase: Saturation 2.17/0.64 2.17/0.64 % (14712)Memory used [KB]: 9978 2.17/0.64 % (14712)Time elapsed: 0.129 s 2.17/0.64 % (14712)Instructions burned: 275 (million) 2.17/0.64 % (14712)------------------------------ 2.17/0.64 % (14712)------------------------------ 2.17/0.65 % (14721)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 2.17/0.65 % (14696)Refutation found. Thanks to Tanya! 2.17/0.65 % SZS status Theorem for Vampire---4 2.17/0.65 % SZS output start Proof for Vampire---4 2.17/0.65 thf(func_def_0, type, in: $i > $i > $o). 2.17/0.65 thf(func_def_1, type, exu: ($i > $o) > $o). 2.17/0.65 thf(func_def_6, type, setadjoin: $i > $i > $i). 2.17/0.65 thf(func_def_8, type, powerset: $i > $i). 2.17/0.65 thf(func_def_10, type, setunion: $i > $i). 2.17/0.65 thf(func_def_19, type, descr: ($i > $o) > $i). 2.17/0.65 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_26, type, prop2set: $o > $i). 2.17/0.65 thf(func_def_36, type, nonempty: $i > $o). 2.17/0.65 thf(func_def_69, type, set2prop: $i > $o). 2.17/0.65 thf(func_def_88, type, subset: $i > $i > $o). 2.17/0.65 thf(func_def_89, type, disjoint: $i > $i > $o). 2.17/0.65 thf(func_def_90, type, setsmeet: $i > $i > $o). 2.17/0.65 thf(func_def_114, type, binunion: $i > $i > $i). 2.17/0.65 thf(func_def_122, type, binintersect: $i > $i > $i). 2.17/0.65 thf(func_def_135, type, regular: $i > $o). 2.17/0.65 thf(func_def_136, type, setminus: $i > $i > $i). 2.17/0.65 thf(func_def_147, type, symdiff: $i > $i > $i). 2.17/0.65 thf(func_def_153, type, iskpair: $i > $o). 2.17/0.65 thf(func_def_158, type, kpair: $i > $i > $i). 2.17/0.65 thf(func_def_160, type, cartprod: $i > $i > $i). 2.17/0.65 thf(func_def_177, type, singleton: $i > $o). 2.17/0.65 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 2.17/0.65 thf(func_def_184, type, atmost1p: $i > $o). 2.17/0.65 thf(func_def_185, type, atleast2p: $i > $o). 2.17/0.65 thf(func_def_186, type, atmost2p: $i > $o). 2.17/0.65 thf(func_def_187, type, upairsetp: $i > $o). 2.17/0.65 thf(func_def_191, type, kfst: $i > $i). 2.17/0.65 thf(func_def_203, type, ksnd: $i > $i). 2.17/0.65 thf(func_def_213, type, breln: $i > $i > $i > $o). 2.17/0.65 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 2.17/0.65 thf(func_def_222, type, func: $i > $i > $i > $o). 2.17/0.65 thf(func_def_223, type, funcSet: $i > $i > $i). 2.17/0.65 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 2.17/0.65 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 2.17/0.65 thf(func_def_323, type, sP4: $i > $i > $i > $o). 2.17/0.65 thf(func_def_324, type, sP5: $i > $i > $o). 2.17/0.65 thf(func_def_325, type, sP6: $i > $o). 2.17/0.65 thf(func_def_326, type, sP7: $i > $i > $o). 2.17/0.65 thf(func_def_327, type, sP8: $i > $i > $o). 2.17/0.65 thf(func_def_328, type, sP9: $i > $i > $i > $i > $o). 2.17/0.65 thf(func_def_330, type, sP11: $i > $i > $i > $o > $o). 2.17/0.65 thf(func_def_332, type, sK13: ($i > $o) > $i > $i > $i). 2.17/0.65 thf(func_def_335, type, sK16: $i > $o). 2.17/0.65 thf(func_def_371, type, sK52: $i > $o). 2.17/0.65 thf(func_def_373, type, sK54: $i > $o). 2.17/0.65 thf(func_def_380, type, sK61: $i > $o). 2.17/0.65 thf(func_def_383, type, sK64: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_384, type, sK65: $i > $o). 2.17/0.65 thf(func_def_402, type, sK83: $i > $o). 2.17/0.65 thf(func_def_408, type, sK89: $i > $i > $i). 2.17/0.65 thf(func_def_412, type, sK93: $i > $o). 2.17/0.65 thf(func_def_434, type, sK115: $i > $i > $i). 2.17/0.65 thf(func_def_442, type, sK123: $i > $o). 2.17/0.65 thf(func_def_444, type, sK125: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_445, type, sK126: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_446, type, sK127: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_447, type, sK128: $i > $o). 2.17/0.65 thf(func_def_450, type, sK131: $i > $i > $i > $i). 2.17/0.65 thf(func_def_451, type, sK132: $i > $i > $i > $i). 2.17/0.65 thf(func_def_466, type, sK147: $i > ($i > $i) > $i > $i). 2.17/0.65 thf(func_def_468, type, sK149: $i > $i). 2.17/0.65 thf(func_def_476, type, sK157: ($i > $o) > $i). 2.17/0.65 thf(func_def_477, type, sK158: $i > $o). 2.17/0.65 thf(func_def_478, type, sK159: $i > $i). 2.17/0.65 thf(func_def_488, type, sK169: $o > $i > $i > $i). 2.17/0.65 thf(func_def_489, type, sK170: $i > $i). 2.17/0.65 thf(func_def_502, type, sK183: $i > ($i > $i) > $i > $i). 2.17/0.65 thf(func_def_504, type, sK185: $i > $i). 2.17/0.65 thf(func_def_528, type, sK209: ($i > $i) > $i > $i > $i). 2.17/0.65 thf(func_def_531, type, sK212: $i > $i). 2.17/0.65 thf(func_def_532, type, sK213: ($i > $o) > $i). 2.17/0.65 thf(func_def_533, type, sK214: $i > $o). 2.17/0.65 thf(func_def_534, type, sK215: $i > $i > $o). 2.17/0.65 thf(func_def_557, type, sK238: $i > $o). 2.17/0.65 thf(func_def_580, type, sK261: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_581, type, sK262: $i > $o). 2.17/0.65 thf(func_def_588, type, sK269: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_594, type, sK275: $i > $o). 2.17/0.65 thf(func_def_596, type, sK277: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_597, type, sK278: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_603, type, sK284: $i > $i > $i > $i). 2.17/0.65 thf(func_def_612, type, sK293: $i > $o). 2.17/0.65 thf(func_def_614, type, sK295: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_619, type, sK300: $i > $i). 2.17/0.65 thf(func_def_622, type, sK303: $i > $i > $o). 2.17/0.65 thf(func_def_623, type, sK304: $i > $i). 2.17/0.65 thf(func_def_624, type, sK305: $i > $i). 2.17/0.65 thf(func_def_625, type, sK306: ($i > $i > $o) > $i > $i). 2.17/0.65 thf(func_def_626, type, sK307: ($i > $i > $o) > $i > $i). 2.17/0.65 thf(func_def_627, type, sK308: $i > ($i > $i > $o) > $i > $i). 2.17/0.65 thf(func_def_628, type, sK309: $i > $o). 2.17/0.65 thf(func_def_643, type, sK324: ($i > $o) > $i). 2.17/0.65 thf(func_def_644, type, sK325: ($i > $o) > $i). 2.17/0.65 thf(func_def_645, type, sK326: $i > $o). 2.17/0.65 thf(func_def_649, type, sK330: $i > $o). 2.17/0.65 thf(func_def_651, type, sK332: $i > $i > $o). 2.17/0.65 thf(func_def_660, type, sK341: $i > $i > $o). 2.17/0.65 thf(func_def_668, type, sK349: $i > $i). 2.17/0.65 thf(func_def_670, type, sK351: $i > $i). 2.17/0.65 thf(func_def_677, type, sK358: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_681, type, sK362: $i > $o). 2.17/0.65 thf(func_def_683, type, sK364: ($i > $o) > $i > $i > $i > $i). 2.17/0.65 thf(func_def_684, type, sK365: ($i > $o) > $i > $i > $i > $i). 2.17/0.65 thf(func_def_709, type, sK390: $i > $i > $i). 2.17/0.65 thf(func_def_715, type, sK396: $i > $o). 2.17/0.65 thf(func_def_717, type, sK398: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_732, type, sK413: $i > $i > $o). 2.17/0.65 thf(func_def_739, type, sK420: $i > $i). 2.17/0.65 thf(func_def_741, type, sK422: ($i > $i) > $i > $i > $i). 2.17/0.65 thf(func_def_744, type, sK425: $i > $o). 2.17/0.65 thf(func_def_754, type, sK435: $i > $o). 2.17/0.65 thf(func_def_757, type, sK438: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_758, type, sK439: $i > $i). 2.17/0.65 thf(func_def_764, type, sK445: $i > $i > $i > $i). 2.17/0.65 thf(func_def_765, type, sK446: $i > $i > $i > $i). 2.17/0.65 thf(func_def_769, type, sK450: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_771, type, sK452: $i > $o). 2.17/0.65 thf(func_def_776, type, sK457: $i > $o). 2.17/0.65 thf(func_def_777, type, sK458: $i > $o). 2.17/0.65 thf(func_def_778, type, sK459: ($i > $o) > ($i > $o) > $i). 2.17/0.65 thf(func_def_779, type, sK460: ($i > $o) > ($i > $o) > $i). 2.17/0.65 thf(func_def_790, type, sK471: $i > $i > $i). 2.17/0.65 thf(func_def_791, type, sK472: $i > $i > $i). 2.17/0.65 thf(func_def_796, type, sK477: $i > $o). 2.17/0.65 thf(func_def_813, type, sK494: $i > $i > $i). 2.17/0.65 thf(func_def_814, type, sK495: $i > $i > $i). 2.17/0.65 thf(func_def_815, type, sK496: $i > $i > $i). 2.17/0.65 thf(func_def_816, type, sK497: $i > $i > $i). 2.17/0.65 thf(func_def_817, type, sK498: $i > $i > $i > $i). 2.17/0.65 thf(func_def_818, type, sK499: $i > $i). 2.17/0.65 thf(func_def_819, type, sK500: $i > $i). 2.17/0.65 thf(func_def_820, type, sK501: $i > $i). 2.17/0.65 thf(func_def_821, type, sK502: $i > $i). 2.17/0.65 thf(func_def_822, type, sK503: $i > $i > $i > $i). 2.17/0.65 thf(func_def_823, type, sK504: $i > $i > $i > $i). 2.17/0.65 thf(func_def_824, type, sK505: $i > $i > $i). 2.17/0.65 thf(func_def_825, type, sK506: $i > $i > $i). 2.17/0.65 thf(func_def_826, type, sK507: $i > $i > $i). 2.17/0.65 thf(func_def_827, type, sK508: $i > $i). 2.17/0.65 thf(func_def_828, type, sK509: $i > $i > $i). 2.17/0.65 thf(func_def_830, type, sK511: $i > $i). 2.17/0.65 thf(func_def_831, type, sK512: $i > $i). 2.17/0.65 thf(func_def_876, type, sK557: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_877, type, sK558: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_878, type, sK559: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_879, type, sK560: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_885, type, sK566: $i > $o). 2.17/0.65 thf(func_def_890, type, sK571: $i > $o). 2.17/0.65 thf(func_def_892, type, sK573: ($i > $o) > $i > $i > $i > $i). 2.17/0.65 thf(func_def_893, type, sK574: ($i > $o) > $i > $i > $i > $i). 2.17/0.65 thf(func_def_894, type, sK575: $i > $i > $i > $i). 2.17/0.65 thf(func_def_901, type, sK582: $i > ($i > $i) > $i > $i). 2.17/0.65 thf(func_def_903, type, sK584: $i > $i). 2.17/0.65 thf(func_def_931, type, sK612: $i > $i > $i). 2.17/0.65 thf(func_def_948, type, sK629: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_949, type, sK630: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_954, type, sK635: ($i > $o) > $i > $i). 2.17/0.65 thf(func_def_956, type, sK637: $i > $o). 2.17/0.65 thf(func_def_959, type, sK640: $i > $o). 2.17/0.65 thf(func_def_972, type, sK653: $i > $o). 2.17/0.65 thf(func_def_974, type, sK655: $i > ($i > $o) > $i). 2.17/0.65 thf(func_def_994, type, sK675: $i > $i). 2.17/0.65 thf(func_def_995, type, sK676: $i > $i > $i). 2.17/0.65 thf(func_def_1013, type, sK694: $i > $i > $i). 2.17/0.65 thf(func_def_1024, type, sK705: $i > $o). 2.17/0.65 thf(func_def_1025, type, sK706: $i > $o). 2.17/0.65 thf(func_def_1026, type, sK707: ($i > $o) > ($i > $o) > $i > $i > $i). 2.17/0.65 thf(func_def_1027, type, sK708: ($i > $o) > ($i > $o) > $i > $i > $i). 2.17/0.65 thf(func_def_1044, type, sK725: $i > $o). 2.17/0.65 thf(func_def_1062, type, sK743: $i > $i > $o). 2.17/0.65 thf(func_def_1077, type, sK758: ($i > $o) > ($i > $o) > $i). 2.17/0.65 thf(func_def_1078, type, sK759: ($i > $o) > ($i > $o) > $i). 2.17/0.65 thf(func_def_1079, type, sK760: $i > $o). 2.17/0.65 thf(func_def_1080, type, sK761: $i > $o). 2.17/0.65 thf(func_def_1086, type, sK767: $i > $i > $i). 2.17/0.65 thf(func_def_1107, type, sK788: ($i > $o) > $i). 2.17/0.65 thf(func_def_1108, type, sK789: $i > $o). 2.17/0.65 thf(func_def_1109, type, sK790: $i > $i). 2.17/0.65 thf(func_def_1113, type, sK794: $i > $i > $o). 2.17/0.65 thf(func_def_1116, type, sK797: $i > $i). 2.17/0.65 thf(func_def_1119, type, sK800: $i > $i > ($i > $i) > $i). 2.17/0.65 thf(func_def_1137, type, sK818: $i > $i > $i). 2.17/0.65 thf(func_def_1144, type, sK825: $i > $i > $o). 2.17/0.65 thf(func_def_1164, type, sK845: $i > $i > $i > $i > $i). 2.17/0.65 thf(func_def_1176, type, sK857: $i > $i). 2.17/0.65 thf(func_def_1182, type, ph863: !>[X0: $tType]:(X0)). 2.17/0.65 thf(f4610,plain,( 2.17/0.65 $false), 2.17/0.65 inference(avatar_sat_refutation,[],[f4546,f4589,f4609])). 2.17/0.65 thf(f4609,plain,( 2.17/0.65 ~spl862_10 | ~spl862_13), 2.17/0.65 inference(avatar_split_clause,[],[f4281,f4425,f4401])). 2.17/0.65 thf(f4401,plain,( 2.17/0.65 spl862_10 <=> ($true = (in @ sK724 @ sK723))), 2.17/0.65 introduced(avatar_definition,[new_symbols(naming,[spl862_10])])). 2.17/0.65 thf(f4425,plain,( 2.17/0.65 spl862_13 <=> ($true = (in @ sK724 @ sK721))), 2.17/0.65 introduced(avatar_definition,[new_symbols(naming,[spl862_13])])). 2.17/0.65 thf(f4281,plain,( 2.17/0.65 ($true != (in @ sK724 @ sK721)) | ($true != (in @ sK724 @ sK723))), 2.17/0.65 inference(subsumption_resolution,[],[f4273,f3543])). 2.17/0.65 thf(f3543,plain,( 2.17/0.65 (binintersectI = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f2312,plain,( 2.17/0.65 (symdiffE = $true) & (cartprodmempaircEq = $true) & (setadjoinOr = $true) & (kpairiskpair = $true) & (symdiffI2 = $true) & (cartprodsndin = $true) & (ubforcartprodlem3 = $true) & (binintersectSubset4 = $true) & (funcGraphProp2 = $true) & (notequalI2 = $true) & (iftrueorfalse = $true) & (setminusILneg = $true) & (binintersectTELcontra = $true) & (setunionE2 = $true) & (dsetconstr__Cong = $true) & (iftrue = $true) & (setadjoinAx = $true) & (omegaSAx = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (inIntersectImpInUnion2 = $true) & (dpsetconstrEL1 = $true) & (iffalseProp1 = $true) & (descrp = $true) & (lamProp = $true) & (brelnall1 = $true) & (cartprodmempair = $true) & (setadjoin__Cong = $true) & ((((in @ sK723 @ (powerset @ sK722)) = $true) & (((in @ sK724 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ sK723))) != $true) & ((in @ sK724 @ sK722) = $true) & ($true = (in @ sK724 @ (setminus @ sK722 @ (binintersect @ sK721 @ sK723)))))) & ($true = (in @ sK721 @ (powerset @ sK722)))) & (funcextLem = $true) & (omega0Ax = $true) & (upairset2E = $true) & (iftrueProp2 = $true) & (symdiffIneg2 = $true) & (setminusIRneg = $true) & (eqinunit = $true) & (upairequniteq = $true) & (ifSingleton = $true) & (contrasubsetT = $true) & (upairsetIR = $true) & (singletonsswitch = $true) & (setukpairinjL2 = $true) & (doubleComplementE1 = $true) & (complementTnotintersectT = $true) & (powersetI = $true) & (ex1I2 = $true) & (upairsetE = $true) & (disjointsetsI1 = $true) & (cartprodpairmemER = $true) & (prop2setE = $true) & (dsetconstrER = $true) & (theeq = $true) & (omegaIndAx = $true) & (kpairsurjEq = $true) & (binintersectSubset1 = $true) & (quantDeMorgan3 = $true) & (setminusT_lem = $true) & (exuE2 = $true) & (beta1 = $true) & (setunionAx = $true) & (setukpairinjL1 = $true) & (funcext2 = $true) & (doubleComplementEq = $true) & (complementSubsetComplementIntersect = $true) & (foundationAx = $true) & (setukpairinjR2 = $true) & (complementUnionInPowersetComplement = $true) & (binunionIL = $true) & (subsetTI = $true) & (eta1 = $true) & (dsetconstrI = $true) & (singletonprop = $true) & (upairsubunion = $true) & (subsetTrans = $true) & (app = $true) & (subsetI1 = $true) & (setminusLsub = $true) & (setminusERneg = $true) & (subPowSU = $true) & (descr__Cong = $true) & (replAx = $true) & (emptysetAx = $true) & (noeltsimpempty = $true) & (doubleComplementSub1 = $true) & (kfstpairEq = $true) & (inPowerset = $true) & (binunionTEcontra = $true) & (emptyinPowerset = $true) & (binintersectEL = $true) & (setextT = $true) & (complementInPowersetComplementIntersect = $true) & (iffalse = $true) & (complementTE1 = $true) & (setminusSubset1 = $true) & (cartprodpairsurjEq = $true) & (notinsingleton = $true) & (powersetT_lem = $true) & (setukpairIL = $true) & (singletoninpowerset = $true) & (subset2powerset = $true) & (funcGraphProp3 = $true) & (sepInPowerset = $true) & (kpairp = $true) & (ex1I = $true) & (ex1E2 = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (exuI1 = $true) & (setukpairinjL = $true) & (cartprodfstpairEq = $true) & (inCongP = $true) & (cartprodsndpairEq = $true) & (exu__Cong = $true) & (complementT_lem = $true) & (ap2apEq1 = $true) & (funcImageSingleton = $true) & (binintersectSubset5 = $true) & (cartprodmempair1 = $true) & (binunionIR = $true) & (doubleComplementSub2 = $true) & (binintersectTERcontra = $true) & (omega__Cong = $true) & (binunionLsub = $true) & (exuE3e = $true) & (lamp = $true) & (in__Cong = $true) & (subsetemptysetimpeq = $true) & (ksndpairEq = $true) & (inComplementUnionImpInComplement1 = $true) & (funcext = $true) & (complementImpComplementIntersect = $true) & (quantDeMorgan1 = $true) & (wellorderingAx = $true) & (setadjoinSub2 = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (symdiffI1 = $true) & (eqbreln = $true) & (setunionsingleton1 = $true) & (exuEu = $true) & (subsetE = $true) & (funcGraphProp4 = $true) & (brelnall2 = $true) & (setunionsingleton = $true) & (binunionRsub = $true) & (ksndsingleton = $true) & (binunionTILcontra = $true) & (ifp = $true) & (eta2 = $true) & (dpsetconstrERa = $true) & (demorgan2a2 = $true) & (nonemptyI1 = $true) & (cartprodpairmemEL = $true) & (quantDeMorgan2 = $true) & (demorgan2a1 = $true) & (setextAx = $true) & (binunionT_lem = $true) & (emptyE1 = $true) & (setadjoinE = $true) & (funcGraphProp1 = $true) & (cartprodpairin = $true) & (notdallE = $true) & (subsetRefl = $true) & (infuncsetfunc = $true) & (setukpairIR = $true) & (emptyset__Cong = $true) & (setukpairinjR12 = $true) & (contraSubsetComplement = $true) & (binintersectER = $true) & (vacuousDall = $true) & (complementTI1 = $true) & (setunionI = $true) & (beta2 = $true) & (setadjoinIL = $true) & (emptysetE = $true) & (funcinfuncset = $true) & (kfstsingleton = $true) & (exuE1 = $true) & (notdexE = $true) & (subbreln = $true) & (dpsetconstrER = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (contrasubsetT2 = $true) & (theprop = $true) & (setminusELneg = $true) & (setextsub = $true) & (cartprodfstin = $true) & (dpsetconstrEL2 = $true) & (ubforcartprodlem1 = $true) & (inComplementUnionImpNotIn1 = $true) & (powersetAx = $true) & (iftrueProp1 = $true) & (dpsetconstrI = $true) & (emptysetsubset = $true) & (setukpairinjR = $true) & (eqimpsubset2 = $true) & (exuI3 = $true) & (uniqinunit = $true) & (upairset2IR = $true) & (notequalI1 = $true) & (setunionsingleton2 = $true) & (powersetTE1 = $true) & (setminusSubset2 = $true) & (setukpairinjR11 = $true) & (nonemptyI = $true) & (subsetE2 = $true) & (setoftrueEq = $true) & (setukpairinjR1 = $true) & (apProp = $true) & (binunionTE = $true) & (binintersectI = $true) & (powersetTI1 = $true) & (powerset__Cong = $true) & (setminusI = $true) & (notsubsetI = $true) & (inIntersectImpInUnion = $true) & (powersetE = $true) & (ex1E1 = $true) & (upairsetIL = $true) & (powersetsubset = $true) & (nonemptyImpWitness = $true) & (doubleComplementI1 = $true) & (dsetconstrEL = $true) & (emptyI = $true) & (secondinupair = $true) & (subsetI2 = $true) & (nonemptyE1 = $true) & (eqimpsubset1 = $true) & (setadjoinIR = $true) & (binunionEcases = $true) & (intersectInPowersetIntersectUnions = $true) & (setbeta = $true) & (upairinpowunion = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (quantDeMorgan4 = $true) & (exuI2 = $true) & (ubforcartprodlem2 = $true) & (powersetI1 = $true) & (singletoninpowunion = $true) & (setminusER = $true) & (exuE3u = $true) & (setunionE = $true) & (dpsetconstrSub = $true) & (lam2p = $true) & (ap2apEq2 = $true) & (singletonsubset = $true) & (ap2p = $true) & (emptyinunitempty = $true) & (binintersectLsub = $true) & (contrasubsetT3 = $true) & (complementTcontraSubset = $true) & (emptyInPowerset = $true) & (binunionE = $true) & (binintersectT_lem = $true) & (bs114d = $true) & (sepSubset = $true) & (setOfPairsIsBReln = $true) & (singletonsuniq = $true) & (inIntersectImpInIntersectUnions = $true) & (contrasubsetT1 = $true) & (setunion__Cong = $true) & (powersetE1 = $true) & (binunionTIRcontra = $true) & (iffalseProp2 = $true) & (symdiffIneg1 = $true) & (setext = $true)), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK721,sK722,sK723,sK724])],[f925,f2311,f2310,f2309])). 2.17/0.65 thf(f2309,plain,( 2.17/0.65 ? [X0,X1] : (? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ? [X3] : (($true != (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))) & ((in @ X3 @ X1) = $true) & ((in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2))) = $true))) & ($true = (in @ X0 @ (powerset @ X1)))) => (? [X2] : (($true = (in @ X2 @ (powerset @ sK722))) & ? [X3] : (($true != (in @ X3 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ X2)))) & ($true = (in @ X3 @ sK722)) & ((in @ X3 @ (setminus @ sK722 @ (binintersect @ sK721 @ X2))) = $true))) & ($true = (in @ sK721 @ (powerset @ sK722))))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f2310,plain,( 2.17/0.65 ? [X2] : (($true = (in @ X2 @ (powerset @ sK722))) & ? [X3] : (($true != (in @ X3 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ X2)))) & ($true = (in @ X3 @ sK722)) & ((in @ X3 @ (setminus @ sK722 @ (binintersect @ sK721 @ X2))) = $true))) => (((in @ sK723 @ (powerset @ sK722)) = $true) & ? [X3] : (((in @ X3 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ sK723))) != $true) & ($true = (in @ X3 @ sK722)) & ($true = (in @ X3 @ (setminus @ sK722 @ (binintersect @ sK721 @ sK723))))))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f2311,plain,( 2.17/0.65 ? [X3] : (((in @ X3 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ sK723))) != $true) & ($true = (in @ X3 @ sK722)) & ($true = (in @ X3 @ (setminus @ sK722 @ (binintersect @ sK721 @ sK723))))) => (((in @ sK724 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ sK723))) != $true) & ((in @ sK724 @ sK722) = $true) & ($true = (in @ sK724 @ (setminus @ sK722 @ (binintersect @ sK721 @ sK723)))))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f925,plain,( 2.17/0.65 (symdiffE = $true) & (cartprodmempaircEq = $true) & (setadjoinOr = $true) & (kpairiskpair = $true) & (symdiffI2 = $true) & (cartprodsndin = $true) & (ubforcartprodlem3 = $true) & (binintersectSubset4 = $true) & (funcGraphProp2 = $true) & (notequalI2 = $true) & (iftrueorfalse = $true) & (setminusILneg = $true) & (binintersectTELcontra = $true) & (setunionE2 = $true) & (dsetconstr__Cong = $true) & (iftrue = $true) & (setadjoinAx = $true) & (omegaSAx = $true) & (binintersectRsub = $true) & (setadjoinSub = $true) & (inIntersectImpInUnion2 = $true) & (dpsetconstrEL1 = $true) & (iffalseProp1 = $true) & (descrp = $true) & (lamProp = $true) & (brelnall1 = $true) & (cartprodmempair = $true) & (setadjoin__Cong = $true) & ? [X0,X1] : (? [X2] : (((in @ X2 @ (powerset @ X1)) = $true) & ? [X3] : (($true != (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))) & ((in @ X3 @ X1) = $true) & ((in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2))) = $true))) & ($true = (in @ X0 @ (powerset @ X1)))) & (funcextLem = $true) & (omega0Ax = $true) & (upairset2E = $true) & (iftrueProp2 = $true) & (symdiffIneg2 = $true) & (setminusIRneg = $true) & (eqinunit = $true) & (upairequniteq = $true) & (ifSingleton = $true) & (contrasubsetT = $true) & (upairsetIR = $true) & (singletonsswitch = $true) & (setukpairinjL2 = $true) & (doubleComplementE1 = $true) & (complementTnotintersectT = $true) & (powersetI = $true) & (ex1I2 = $true) & (upairsetE = $true) & (disjointsetsI1 = $true) & (cartprodpairmemER = $true) & (prop2setE = $true) & (dsetconstrER = $true) & (theeq = $true) & (omegaIndAx = $true) & (kpairsurjEq = $true) & (binintersectSubset1 = $true) & (quantDeMorgan3 = $true) & (setminusT_lem = $true) & (exuE2 = $true) & (beta1 = $true) & (setunionAx = $true) & (setukpairinjL1 = $true) & (funcext2 = $true) & (doubleComplementEq = $true) & (complementSubsetComplementIntersect = $true) & (foundationAx = $true) & (setukpairinjR2 = $true) & (complementUnionInPowersetComplement = $true) & (binunionIL = $true) & (subsetTI = $true) & (eta1 = $true) & (dsetconstrI = $true) & (singletonprop = $true) & (upairsubunion = $true) & (subsetTrans = $true) & (app = $true) & (subsetI1 = $true) & (setminusLsub = $true) & (setminusERneg = $true) & (subPowSU = $true) & (descr__Cong = $true) & (replAx = $true) & (emptysetAx = $true) & (noeltsimpempty = $true) & (doubleComplementSub1 = $true) & (kfstpairEq = $true) & (inPowerset = $true) & (binunionTEcontra = $true) & (emptyinPowerset = $true) & (binintersectEL = $true) & (setextT = $true) & (complementInPowersetComplementIntersect = $true) & (iffalse = $true) & (complementTE1 = $true) & (setminusSubset1 = $true) & (cartprodpairsurjEq = $true) & (notinsingleton = $true) & (powersetT_lem = $true) & (setukpairIL = $true) & (singletoninpowerset = $true) & (subset2powerset = $true) & (funcGraphProp3 = $true) & (sepInPowerset = $true) & (kpairp = $true) & (ex1I = $true) & (ex1E2 = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (exuI1 = $true) & (setukpairinjL = $true) & (cartprodfstpairEq = $true) & (inCongP = $true) & (cartprodsndpairEq = $true) & (exu__Cong = $true) & (complementT_lem = $true) & (ap2apEq1 = $true) & (funcImageSingleton = $true) & (binintersectSubset5 = $true) & (cartprodmempair1 = $true) & (binunionIR = $true) & (doubleComplementSub2 = $true) & (binintersectTERcontra = $true) & (omega__Cong = $true) & (binunionLsub = $true) & (exuE3e = $true) & (lamp = $true) & (in__Cong = $true) & (subsetemptysetimpeq = $true) & (ksndpairEq = $true) & (inComplementUnionImpInComplement1 = $true) & (funcext = $true) & (complementImpComplementIntersect = $true) & (quantDeMorgan1 = $true) & (wellorderingAx = $true) & (setadjoinSub2 = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (symdiffI1 = $true) & (eqbreln = $true) & (setunionsingleton1 = $true) & (exuEu = $true) & (subsetE = $true) & (funcGraphProp4 = $true) & (brelnall2 = $true) & (setunionsingleton = $true) & (binunionRsub = $true) & (ksndsingleton = $true) & (binunionTILcontra = $true) & (ifp = $true) & (eta2 = $true) & (dpsetconstrERa = $true) & (demorgan2a2 = $true) & (nonemptyI1 = $true) & (cartprodpairmemEL = $true) & (quantDeMorgan2 = $true) & (demorgan2a1 = $true) & (setextAx = $true) & (binunionT_lem = $true) & (emptyE1 = $true) & (setadjoinE = $true) & (funcGraphProp1 = $true) & (cartprodpairin = $true) & (notdallE = $true) & (subsetRefl = $true) & (infuncsetfunc = $true) & (setukpairIR = $true) & (emptyset__Cong = $true) & (setukpairinjR12 = $true) & (contraSubsetComplement = $true) & (binintersectER = $true) & (vacuousDall = $true) & (complementTI1 = $true) & (setunionI = $true) & (beta2 = $true) & (setadjoinIL = $true) & (emptysetE = $true) & (funcinfuncset = $true) & (kfstsingleton = $true) & (exuE1 = $true) & (notdexE = $true) & (subbreln = $true) & (dpsetconstrER = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (contrasubsetT2 = $true) & (theprop = $true) & (setminusELneg = $true) & (setextsub = $true) & (cartprodfstin = $true) & (dpsetconstrEL2 = $true) & (ubforcartprodlem1 = $true) & (inComplementUnionImpNotIn1 = $true) & (powersetAx = $true) & (iftrueProp1 = $true) & (dpsetconstrI = $true) & (emptysetsubset = $true) & (setukpairinjR = $true) & (eqimpsubset2 = $true) & (exuI3 = $true) & (uniqinunit = $true) & (upairset2IR = $true) & (notequalI1 = $true) & (setunionsingleton2 = $true) & (powersetTE1 = $true) & (setminusSubset2 = $true) & (setukpairinjR11 = $true) & (nonemptyI = $true) & (subsetE2 = $true) & (setoftrueEq = $true) & (setukpairinjR1 = $true) & (apProp = $true) & (binunionTE = $true) & (binintersectI = $true) & (powersetTI1 = $true) & (powerset__Cong = $true) & (setminusI = $true) & (notsubsetI = $true) & (inIntersectImpInUnion = $true) & (powersetE = $true) & (ex1E1 = $true) & (upairsetIL = $true) & (powersetsubset = $true) & (nonemptyImpWitness = $true) & (doubleComplementI1 = $true) & (dsetconstrEL = $true) & (emptyI = $true) & (secondinupair = $true) & (subsetI2 = $true) & (nonemptyE1 = $true) & (eqimpsubset1 = $true) & (setadjoinIR = $true) & (binunionEcases = $true) & (intersectInPowersetIntersectUnions = $true) & (setbeta = $true) & (upairinpowunion = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (quantDeMorgan4 = $true) & (exuI2 = $true) & (ubforcartprodlem2 = $true) & (powersetI1 = $true) & (singletoninpowunion = $true) & (setminusER = $true) & (exuE3u = $true) & (setunionE = $true) & (dpsetconstrSub = $true) & (lam2p = $true) & (ap2apEq2 = $true) & (singletonsubset = $true) & (ap2p = $true) & (emptyinunitempty = $true) & (binintersectLsub = $true) & (contrasubsetT3 = $true) & (complementTcontraSubset = $true) & (emptyInPowerset = $true) & (binunionE = $true) & (binintersectT_lem = $true) & (bs114d = $true) & (sepSubset = $true) & (setOfPairsIsBReln = $true) & (singletonsuniq = $true) & (inIntersectImpInIntersectUnions = $true) & (contrasubsetT1 = $true) & (setunion__Cong = $true) & (powersetE1 = $true) & (binunionTIRcontra = $true) & (iffalseProp2 = $true) & (symdiffIneg1 = $true) & (setext = $true)), 2.17/0.65 inference(flattening,[],[f924])). 2.17/0.65 thf(f924,plain,( 2.17/0.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((($true != (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))) & ((in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2))) = $true)) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (powerset @ X1)) = $true)) & ($true = (in @ X0 @ (powerset @ X1)))) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $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)), 2.17/0.65 inference(ennf_transformation,[],[f459])). 2.17/0.65 thf(f459,plain,( 2.17/0.65 ~((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) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (((in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2))) = $true) => ($true = (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.17/0.65 inference(fool_elimination,[],[f458])). 2.17/0.65 thf(f458,plain,( 2.17/0.65 ~(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 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => ((in @ X3 @ (setminus @ X1 @ (binintersect @ X0 @ X2))) => (in @ X3 @ (binunion @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.17/0.65 inference(rectify,[],[f273])). 2.17/0.65 thf(f273,negated_conjecture,( 2.17/0.65 ~(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 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binintersect @ X11 @ X16))) => (in @ X1 @ (binunion @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.17/0.65 inference(negated_conjecture,[],[f272])). 2.17/0.65 thf(f272,conjecture,( 2.17/0.65 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 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binintersect @ X11 @ X16))) => (in @ X1 @ (binunion @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',demorgan1a)). 2.17/0.65 thf(f4273,plain,( 2.17/0.65 ($true != (in @ sK724 @ sK721)) | (binintersectI != $true) | ($true != (in @ sK724 @ sK723))), 2.17/0.65 inference(trivial_inequality_removal,[],[f4266])). 2.17/0.65 thf(f4266,plain,( 2.17/0.65 ($true != $true) | (binintersectI != $true) | ($true != (in @ sK724 @ sK723)) | ($true != (in @ sK724 @ sK721))), 2.17/0.65 inference(superposition,[],[f4254,f3883])). 2.17/0.65 thf(f3883,plain,( 2.17/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) != $true) | (binintersectI != $true)) )), 2.17/0.65 inference(cnf_transformation,[],[f2457])). 2.17/0.65 thf(f2457,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ (binintersect @ X0 @ X1)) = $true)) | (binintersectI != $true)) & ((binintersectI = $true) | (((in @ sK823 @ sK822) = $true) & ((in @ sK823 @ sK821) = $true) & ((in @ sK823 @ (binintersect @ sK821 @ sK822)) != $true)))), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK821,sK822,sK823])],[f2455,f2456])). 2.17/0.65 thf(f2456,plain,( 2.17/0.65 ? [X3,X4,X5] : (((in @ X5 @ X4) = $true) & ((in @ X5 @ X3) = $true) & ((in @ X5 @ (binintersect @ X3 @ X4)) != $true)) => (((in @ sK823 @ sK822) = $true) & ((in @ sK823 @ sK821) = $true) & ((in @ sK823 @ (binintersect @ sK821 @ sK822)) != $true))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f2455,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ (binintersect @ X0 @ X1)) = $true)) | (binintersectI != $true)) & ((binintersectI = $true) | ? [X3,X4,X5] : (((in @ X5 @ X4) = $true) & ((in @ X5 @ X3) = $true) & ((in @ X5 @ (binintersect @ X3 @ X4)) != $true)))), 2.17/0.65 inference(rectify,[],[f2454])). 2.17/0.65 thf(f2454,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ (binintersect @ X0 @ X1)) = $true)) | (binintersectI != $true)) & ((binintersectI = $true) | ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ((in @ X2 @ X0) = $true) & ((in @ X2 @ (binintersect @ X0 @ X1)) != $true)))), 2.17/0.65 inference(nnf_transformation,[],[f911])). 2.17/0.65 thf(f911,plain,( 2.17/0.65 ! [X0,X1,X2] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ (binintersect @ X0 @ X1)) = $true)) <=> (binintersectI = $true)), 2.17/0.65 inference(flattening,[],[f910])). 2.17/0.65 thf(f910,plain,( 2.17/0.65 (binintersectI = $true) <=> ! [X0,X1,X2] : ((((in @ X2 @ (binintersect @ X0 @ X1)) = $true) | ((in @ X2 @ X1) != $true)) | ((in @ X2 @ X0) != $true))), 2.17/0.65 inference(ennf_transformation,[],[f788])). 2.17/0.65 thf(f788,plain,( 2.17/0.65 (binintersectI = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) => (((in @ X2 @ X1) = $true) => ((in @ X2 @ (binintersect @ X0 @ X1)) = $true)))), 2.17/0.65 inference(fool_elimination,[],[f787])). 2.17/0.65 thf(f787,plain,( 2.17/0.65 (! [X0,X1,X2] : ((in @ X2 @ X0) => ((in @ X2 @ X1) => (in @ X2 @ (binintersect @ X0 @ X1)))) = binintersectI)), 2.17/0.65 inference(rectify,[],[f108])). 2.17/0.65 thf(f108,axiom,( 2.17/0.65 (! [X3,X4,X1] : ((in @ X1 @ X3) => ((in @ X1 @ X4) => (in @ X1 @ (binintersect @ X3 @ X4)))) = binintersectI)), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',binintersectI)). 2.17/0.65 thf(f4254,plain,( 2.17/0.65 ((in @ sK724 @ (binintersect @ sK721 @ sK723)) != $true)), 2.17/0.65 inference(subsumption_resolution,[],[f4251,f3720])). 2.17/0.65 thf(f3720,plain,( 2.17/0.65 (setminusIRneg = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4251,plain,( 2.17/0.65 ((in @ sK724 @ (binintersect @ sK721 @ sK723)) != $true) | (setminusIRneg != $true)), 2.17/0.65 inference(trivial_inequality_removal,[],[f4239])). 2.17/0.65 thf(f4239,plain,( 2.17/0.65 ((in @ sK724 @ (binintersect @ sK721 @ sK723)) != $true) | (setminusIRneg != $true) | ($true != $true)), 2.17/0.65 inference(superposition,[],[f2614,f3727])). 2.17/0.65 thf(f3727,plain,( 2.17/0.65 ($true = (in @ sK724 @ (setminus @ sK722 @ (binintersect @ sK721 @ sK723))))), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f2614,plain,( 2.17/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (setminus @ X1 @ X0))) | (setminusIRneg != $true) | ((in @ X2 @ X0) != $true)) )), 2.17/0.65 inference(cnf_transformation,[],[f1329])). 2.17/0.65 thf(f1329,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ($true != (in @ X2 @ (setminus @ X1 @ X0)))) | (setminusIRneg != $true)) & ((setminusIRneg = $true) | (($true = (in @ sK86 @ sK84)) & ($true = (in @ sK86 @ (setminus @ sK85 @ sK84)))))), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK84,sK85,sK86])],[f1327,f1328])). 2.17/0.65 thf(f1328,plain,( 2.17/0.65 ? [X3,X4,X5] : (((in @ X5 @ X3) = $true) & ($true = (in @ X5 @ (setminus @ X4 @ X3)))) => (($true = (in @ sK86 @ sK84)) & ($true = (in @ sK86 @ (setminus @ sK85 @ sK84))))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f1327,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ($true != (in @ X2 @ (setminus @ X1 @ X0)))) | (setminusIRneg != $true)) & ((setminusIRneg = $true) | ? [X3,X4,X5] : (((in @ X5 @ X3) = $true) & ($true = (in @ X5 @ (setminus @ X4 @ X3)))))), 2.17/0.65 inference(rectify,[],[f1326])). 2.17/0.65 thf(f1326,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ($true != (in @ X2 @ (setminus @ X1 @ X0)))) | (setminusIRneg != $true)) & ((setminusIRneg = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) = $true) & ($true = (in @ X2 @ (setminus @ X1 @ X0)))))), 2.17/0.65 inference(nnf_transformation,[],[f1023])). 2.17/0.65 thf(f1023,plain,( 2.17/0.65 ! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ($true != (in @ X2 @ (setminus @ X1 @ X0)))) <=> (setminusIRneg = $true)), 2.17/0.65 inference(ennf_transformation,[],[f844])). 2.17/0.65 thf(f844,plain,( 2.17/0.65 (setminusIRneg = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) => ($true != (in @ X2 @ (setminus @ X1 @ X0))))), 2.17/0.65 inference(flattening,[],[f605])). 2.17/0.65 thf(f605,plain,( 2.17/0.65 (setminusIRneg = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) => ~($true = (in @ X2 @ (setminus @ X1 @ X0))))), 2.17/0.65 inference(fool_elimination,[],[f604])). 2.17/0.65 thf(f604,plain,( 2.17/0.65 (setminusIRneg = ! [X0,X1,X2] : ((in @ X2 @ X0) => ~(in @ X2 @ (setminus @ X1 @ X0))))), 2.17/0.65 inference(rectify,[],[f127])). 2.17/0.65 thf(f127,axiom,( 2.17/0.65 (setminusIRneg = ! [X4,X3,X1] : ((in @ X1 @ X4) => ~(in @ X1 @ (setminus @ X3 @ X4))))), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',setminusIRneg)). 2.17/0.65 thf(f4589,plain,( 2.17/0.65 spl862_13), 2.17/0.65 inference(avatar_split_clause,[],[f4584,f4425])). 2.17/0.65 thf(f4584,plain,( 2.17/0.65 ($true = (in @ sK724 @ sK721))), 2.17/0.65 inference(subsumption_resolution,[],[f4583,f3728])). 2.17/0.65 thf(f3728,plain,( 2.17/0.65 ((in @ sK724 @ sK722) = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4583,plain,( 2.17/0.65 ((in @ sK724 @ sK722) != $true) | ($true = (in @ sK724 @ sK721))), 2.17/0.65 inference(subsumption_resolution,[],[f4582,f3677])). 2.17/0.65 thf(f3677,plain,( 2.17/0.65 (setminusERneg = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4582,plain,( 2.17/0.65 (setminusERneg != $true) | ($true = (in @ sK724 @ sK721)) | ((in @ sK724 @ sK722) != $true)), 2.17/0.65 inference(trivial_inequality_removal,[],[f4564])). 2.17/0.65 thf(f4564,plain,( 2.17/0.65 ($true != $true) | ($true = (in @ sK724 @ sK721)) | (setminusERneg != $true) | ((in @ sK724 @ sK722) != $true)), 2.17/0.65 inference(superposition,[],[f4497,f3439])). 2.17/0.65 thf(f3439,plain,( 2.17/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ((in @ X0 @ X2) = $true) | ($true != (in @ X0 @ X1)) | (setminusERneg != $true)) )), 2.17/0.65 inference(cnf_transformation,[],[f2253])). 2.17/0.65 thf(f2253,plain,( 2.17/0.65 (! [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ((in @ X0 @ X2) = $true) | ($true != (in @ X0 @ X1))) | (setminusERneg != $true)) & ((setminusERneg = $true) | (((in @ sK679 @ (setminus @ sK680 @ sK681)) != $true) & ((in @ sK679 @ sK681) != $true) & ($true = (in @ sK679 @ sK680))))), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK679,sK680,sK681])],[f2251,f2252])). 2.17/0.65 thf(f2252,plain,( 2.17/0.65 ? [X3,X4,X5] : (($true != (in @ X3 @ (setminus @ X4 @ X5))) & ((in @ X3 @ X5) != $true) & ($true = (in @ X3 @ X4))) => (((in @ sK679 @ (setminus @ sK680 @ sK681)) != $true) & ((in @ sK679 @ sK681) != $true) & ($true = (in @ sK679 @ sK680)))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f2251,plain,( 2.17/0.65 (! [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ((in @ X0 @ X2) = $true) | ($true != (in @ X0 @ X1))) | (setminusERneg != $true)) & ((setminusERneg = $true) | ? [X3,X4,X5] : (($true != (in @ X3 @ (setminus @ X4 @ X5))) & ((in @ X3 @ X5) != $true) & ($true = (in @ X3 @ X4))))), 2.17/0.65 inference(rectify,[],[f2250])). 2.17/0.65 thf(f2250,plain,( 2.17/0.65 (! [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ((in @ X0 @ X2) = $true) | ($true != (in @ X0 @ X1))) | (setminusERneg != $true)) & ((setminusERneg = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ (setminus @ X1 @ X2))) & ((in @ X0 @ X2) != $true) & ($true = (in @ X0 @ X1))))), 2.17/0.65 inference(nnf_transformation,[],[f1148])). 2.17/0.65 thf(f1148,plain,( 2.17/0.65 ! [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ((in @ X0 @ X2) = $true) | ($true != (in @ X0 @ X1))) <=> (setminusERneg = $true)), 2.17/0.65 inference(flattening,[],[f1147])). 2.17/0.65 thf(f1147,plain,( 2.17/0.65 ! [X0,X1,X2] : ((((in @ X0 @ X2) = $true) | ($true != (in @ X0 @ X1))) | ($true = (in @ X0 @ (setminus @ X1 @ X2)))) <=> (setminusERneg = $true)), 2.17/0.65 inference(ennf_transformation,[],[f823])). 2.17/0.65 thf(f823,plain,( 2.17/0.65 ! [X0,X1,X2] : (($true != (in @ X0 @ (setminus @ X1 @ X2))) => (($true = (in @ X0 @ X1)) => ((in @ X0 @ X2) = $true))) <=> (setminusERneg = $true)), 2.17/0.65 inference(flattening,[],[f367])). 2.17/0.65 thf(f367,plain,( 2.17/0.65 (setminusERneg = $true) <=> ! [X0,X1,X2] : (~($true = (in @ X0 @ (setminus @ X1 @ X2))) => (($true = (in @ X0 @ X1)) => ((in @ X0 @ X2) = $true)))), 2.17/0.65 inference(fool_elimination,[],[f366])). 2.17/0.65 thf(f366,plain,( 2.17/0.65 (setminusERneg = ! [X0,X1,X2] : (~(in @ X0 @ (setminus @ X1 @ X2)) => ((in @ X0 @ X1) => (in @ X0 @ X2))))), 2.17/0.65 inference(rectify,[],[f124])). 2.17/0.65 thf(f124,axiom,( 2.17/0.65 (setminusERneg = ! [X1,X3,X4] : (~(in @ X1 @ (setminus @ X3 @ X4)) => ((in @ X1 @ X3) => (in @ X1 @ X4))))), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',setminusERneg)). 2.17/0.65 thf(f4497,plain,( 2.17/0.65 ($true != (in @ sK724 @ (setminus @ sK722 @ sK721)))), 2.17/0.65 inference(subsumption_resolution,[],[f4486,f3687])). 2.17/0.65 thf(f3687,plain,( 2.17/0.65 (binunionIL = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4486,plain,( 2.17/0.65 (binunionIL != $true) | ($true != (in @ sK724 @ (setminus @ sK722 @ sK721)))), 2.17/0.65 inference(trivial_inequality_removal,[],[f4476])). 2.17/0.65 thf(f4476,plain,( 2.17/0.65 ($true != $true) | (binunionIL != $true) | ($true != (in @ sK724 @ (setminus @ sK722 @ sK721)))), 2.17/0.65 inference(superposition,[],[f3729,f3476])). 2.17/0.65 thf(f3476,plain,( 2.17/0.65 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ (binunion @ X4 @ X5)) = $true) | ($true != (in @ X3 @ X4)) | (binunionIL != $true)) )), 2.17/0.65 inference(cnf_transformation,[],[f2299])). 2.17/0.65 thf(f2299,plain,( 2.17/0.65 ((binunionIL = $true) | (($true != (in @ sK711 @ (binunion @ sK712 @ sK713))) & ($true = (in @ sK711 @ sK712)))) & (! [X3,X4,X5] : (((in @ X3 @ (binunion @ X4 @ X5)) = $true) | ($true != (in @ X3 @ X4))) | (binunionIL != $true))), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK711,sK712,sK713])],[f2297,f2298])). 2.17/0.65 thf(f2298,plain,( 2.17/0.65 ? [X0,X1,X2] : (($true != (in @ X0 @ (binunion @ X1 @ X2))) & ($true = (in @ X0 @ X1))) => (($true != (in @ sK711 @ (binunion @ sK712 @ sK713))) & ($true = (in @ sK711 @ sK712)))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f2297,plain,( 2.17/0.65 ((binunionIL = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ (binunion @ X1 @ X2))) & ($true = (in @ X0 @ X1)))) & (! [X3,X4,X5] : (((in @ X3 @ (binunion @ X4 @ X5)) = $true) | ($true != (in @ X3 @ X4))) | (binunionIL != $true))), 2.17/0.65 inference(rectify,[],[f2296])). 2.17/0.65 thf(f2296,plain,( 2.17/0.65 ((binunionIL = $true) | ? [X0,X1,X2] : (($true != (in @ X0 @ (binunion @ X1 @ X2))) & ($true = (in @ X0 @ X1)))) & (! [X0,X1,X2] : (($true = (in @ X0 @ (binunion @ X1 @ X2))) | ($true != (in @ X0 @ X1))) | (binunionIL != $true))), 2.17/0.65 inference(nnf_transformation,[],[f905])). 2.17/0.65 thf(f905,plain,( 2.17/0.65 (binunionIL = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ (binunion @ X1 @ X2))) | ($true != (in @ X0 @ X1)))), 2.17/0.65 inference(ennf_transformation,[],[f635])). 2.17/0.65 thf(f635,plain,( 2.17/0.65 (binunionIL = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ (binunion @ X1 @ X2))))), 2.17/0.65 inference(fool_elimination,[],[f634])). 2.17/0.65 thf(f634,plain,( 2.17/0.65 (! [X0,X1,X2] : ((in @ X0 @ X1) => (in @ X0 @ (binunion @ X1 @ X2))) = binunionIL)), 2.17/0.65 inference(rectify,[],[f101])). 2.17/0.65 thf(f101,axiom,( 2.17/0.65 (! [X1,X3,X4] : ((in @ X1 @ X3) => (in @ X1 @ (binunion @ X3 @ X4))) = binunionIL)), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',binunionIL)). 2.17/0.65 thf(f3729,plain,( 2.17/0.65 ((in @ sK724 @ (binunion @ (setminus @ sK722 @ sK721) @ (setminus @ sK722 @ sK723))) != $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4546,plain,( 2.17/0.65 spl862_10), 2.17/0.65 inference(avatar_split_clause,[],[f4535,f4401])). 2.17/0.65 thf(f4535,plain,( 2.17/0.65 ($true = (in @ sK724 @ sK723))), 2.17/0.65 inference(subsumption_resolution,[],[f4534,f3728])). 2.17/0.65 thf(f4534,plain,( 2.17/0.65 ((in @ sK724 @ sK722) != $true) | ($true = (in @ sK724 @ sK723))), 2.17/0.65 inference(subsumption_resolution,[],[f4520,f3569])). 2.17/0.65 thf(f3569,plain,( 2.17/0.65 (setminusELneg = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4520,plain,( 2.17/0.65 (setminusELneg != $true) | ($true = (in @ sK724 @ sK723)) | ((in @ sK724 @ sK722) != $true)), 2.17/0.65 inference(trivial_inequality_removal,[],[f4505])). 2.17/0.65 thf(f4505,plain,( 2.17/0.65 ($true = (in @ sK724 @ sK723)) | ($true != $true) | (setminusELneg != $true) | ((in @ sK724 @ sK722) != $true)), 2.17/0.65 inference(superposition,[],[f4494,f2770])). 2.17/0.65 thf(f2770,plain,( 2.17/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (setminus @ X2 @ X0)) = $true) | ($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2)) | (setminusELneg != $true)) )), 2.17/0.65 inference(cnf_transformation,[],[f1517])). 2.17/0.65 thf(f1517,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X1 @ (setminus @ X2 @ X0)) = $true) | ($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2))) | (setminusELneg != $true)) & ((setminusELneg = $true) | (((in @ sK201 @ (setminus @ sK202 @ sK200)) != $true) & ($true != (in @ sK201 @ sK200)) & ((in @ sK201 @ sK202) = $true)))), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK200,sK201,sK202])],[f1515,f1516])). 2.17/0.65 thf(f1516,plain,( 2.17/0.65 ? [X3,X4,X5] : (((in @ X4 @ (setminus @ X5 @ X3)) != $true) & ((in @ X4 @ X3) != $true) & ((in @ X4 @ X5) = $true)) => (((in @ sK201 @ (setminus @ sK202 @ sK200)) != $true) & ($true != (in @ sK201 @ sK200)) & ((in @ sK201 @ sK202) = $true))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f1515,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X1 @ (setminus @ X2 @ X0)) = $true) | ($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2))) | (setminusELneg != $true)) & ((setminusELneg = $true) | ? [X3,X4,X5] : (((in @ X4 @ (setminus @ X5 @ X3)) != $true) & ((in @ X4 @ X3) != $true) & ((in @ X4 @ X5) = $true)))), 2.17/0.65 inference(rectify,[],[f1514])). 2.17/0.65 thf(f1514,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X1 @ (setminus @ X2 @ X0)) = $true) | ($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2))) | (setminusELneg != $true)) & ((setminusELneg = $true) | ? [X0,X1,X2] : (((in @ X1 @ (setminus @ X2 @ X0)) != $true) & ($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2))))), 2.17/0.65 inference(nnf_transformation,[],[f1139])). 2.17/0.65 thf(f1139,plain,( 2.17/0.65 ! [X0,X1,X2] : (((in @ X1 @ (setminus @ X2 @ X0)) = $true) | ($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2))) <=> (setminusELneg = $true)), 2.17/0.65 inference(flattening,[],[f1138])). 2.17/0.65 thf(f1138,plain,( 2.17/0.65 (setminusELneg = $true) <=> ! [X0,X1,X2] : ((($true != (in @ X1 @ X2)) | ($true = (in @ X1 @ X0))) | ((in @ X1 @ (setminus @ X2 @ X0)) = $true))), 2.17/0.65 inference(ennf_transformation,[],[f813])). 2.17/0.65 thf(f813,plain,( 2.17/0.65 (setminusELneg = $true) <=> ! [X0,X1,X2] : (((in @ X1 @ (setminus @ X2 @ X0)) != $true) => (($true != (in @ X1 @ X0)) => ($true != (in @ X1 @ X2))))), 2.17/0.65 inference(flattening,[],[f294])). 2.17/0.65 thf(f294,plain,( 2.17/0.65 (setminusELneg = $true) <=> ! [X0,X1,X2] : (~((in @ X1 @ (setminus @ X2 @ X0)) = $true) => (~($true = (in @ X1 @ X0)) => ~($true = (in @ X1 @ X2))))), 2.17/0.65 inference(fool_elimination,[],[f293])). 2.17/0.65 thf(f293,plain,( 2.17/0.65 (setminusELneg = ! [X0,X1,X2] : (~(in @ X1 @ (setminus @ X2 @ X0)) => (~(in @ X1 @ X0) => ~(in @ X1 @ X2))))), 2.17/0.65 inference(rectify,[],[f125])). 2.17/0.65 thf(f125,axiom,( 2.17/0.65 (setminusELneg = ! [X4,X1,X3] : (~(in @ X1 @ (setminus @ X3 @ X4)) => (~(in @ X1 @ X4) => ~(in @ X1 @ X3))))), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',setminusELneg)). 2.17/0.65 thf(f4494,plain,( 2.17/0.65 ($true != (in @ sK724 @ (setminus @ sK722 @ sK723)))), 2.17/0.65 inference(subsumption_resolution,[],[f4493,f3636])). 2.17/0.65 thf(f3636,plain,( 2.17/0.65 (binunionIR = $true)), 2.17/0.65 inference(cnf_transformation,[],[f2312])). 2.17/0.65 thf(f4493,plain,( 2.17/0.65 ($true != (in @ sK724 @ (setminus @ sK722 @ sK723))) | (binunionIR != $true)), 2.17/0.65 inference(trivial_inequality_removal,[],[f4477])). 2.17/0.65 thf(f4477,plain,( 2.17/0.65 ($true != (in @ sK724 @ (setminus @ sK722 @ sK723))) | (binunionIR != $true) | ($true != $true)), 2.17/0.65 inference(superposition,[],[f3729,f3209])). 2.17/0.65 thf(f3209,plain,( 2.17/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0)) | (binunionIR != $true)) )), 2.17/0.65 inference(cnf_transformation,[],[f2002])). 2.17/0.65 thf(f2002,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0))) | (binunionIR != $true)) & ((binunionIR = $true) | (((in @ sK517 @ (binunion @ sK518 @ sK516)) != $true) & ($true = (in @ sK517 @ sK516))))), 2.17/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK516,sK517,sK518])],[f2000,f2001])). 2.17/0.65 thf(f2001,plain,( 2.17/0.65 ? [X3,X4,X5] : (($true != (in @ X4 @ (binunion @ X5 @ X3))) & ((in @ X4 @ X3) = $true)) => (((in @ sK517 @ (binunion @ sK518 @ sK516)) != $true) & ($true = (in @ sK517 @ sK516)))), 2.17/0.65 introduced(choice_axiom,[])). 2.17/0.65 thf(f2000,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0))) | (binunionIR != $true)) & ((binunionIR = $true) | ? [X3,X4,X5] : (($true != (in @ X4 @ (binunion @ X5 @ X3))) & ((in @ X4 @ X3) = $true)))), 2.17/0.65 inference(rectify,[],[f1999])). 2.17/0.65 thf(f1999,plain,( 2.17/0.65 (! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0))) | (binunionIR != $true)) & ((binunionIR = $true) | ? [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) & ($true = (in @ X1 @ X0))))), 2.17/0.65 inference(nnf_transformation,[],[f919])). 2.17/0.65 thf(f919,plain,( 2.17/0.65 ! [X0,X1,X2] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ($true != (in @ X1 @ X0))) <=> (binunionIR = $true)), 2.17/0.65 inference(ennf_transformation,[],[f383])). 2.17/0.65 thf(f383,plain,( 2.17/0.65 ! [X0,X1,X2] : (($true = (in @ X1 @ X0)) => ((in @ X1 @ (binunion @ X2 @ X0)) = $true)) <=> (binunionIR = $true)), 2.17/0.65 inference(fool_elimination,[],[f382])). 2.17/0.65 thf(f382,plain,( 2.17/0.65 (! [X0,X1,X2] : ((in @ X1 @ X0) => (in @ X1 @ (binunion @ X2 @ X0))) = binunionIR)), 2.17/0.65 inference(rectify,[],[f103])). 2.17/0.65 thf(f103,axiom,( 2.17/0.65 (! [X4,X1,X3] : ((in @ X1 @ X4) => (in @ X1 @ (binunion @ X3 @ X4))) = binunionIR)), 2.17/0.65 file('/export/starexec/sandbox2/tmp/tmp.gnkont6aPM/Vampire---4.8_14581',binunionIR)). 2.17/0.65 % SZS output end Proof for Vampire---4 2.17/0.65 % (14696)------------------------------ 2.17/0.65 % (14696)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.17/0.65 % (14696)Termination reason: Refutation 2.17/0.65 2.17/0.65 % (14696)Memory used [KB]: 11385 2.17/0.65 % (14696)Time elapsed: 0.260 s 2.17/0.65 % (14696)Instructions burned: 512 (million) 2.17/0.65 % (14696)------------------------------ 2.17/0.65 % (14696)------------------------------ 2.17/0.65 % (14688)Success in time 0.3 s 2.17/0.65 % Vampire---4.8 exiting 2.17/0.65 EOF