0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.10/0.33 % Computer : n010.cluster.edu 0.10/0.33 % Model : x86_64 x86_64 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.33 % Memory : 8042.1875MB 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.33 % CPULimit : 300 0.10/0.33 % WCLimit : 300 0.10/0.33 % DateTime : Fri Jul 5 04:28:09 EDT 2024 0.10/0.33 % CPUTime : 0.10/0.35 This is a THF_ problem 0.10/0.35 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.38 % (14689)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.10/0.38 % (14692)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.10/0.38 % (14688)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.10/0.38 % (14690)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.10/0.38 % (14687)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.10/0.38 % (14693)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.10/0.38 % (14691)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 theBenchmark for (2999ds/74Mi) 0.10/0.38 % (14692)Instruction limit reached! 0.10/0.38 % (14692)------------------------------ 0.10/0.38 % (14692)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.10/0.38 % (14692)Termination reason: Unknown 0.10/0.38 % (14692)Termination phase: shuffling 0.10/0.38 0.10/0.38 % (14692)Memory used [KB]: 1279 0.10/0.38 % (14692)Time elapsed: 0.004 s 0.10/0.38 % (14692)Instructions burned: 4 (million) 0.10/0.38 % (14692)------------------------------ 0.10/0.38 % (14692)------------------------------ 0.10/0.38 % (14686)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.10/0.39 % (14690)Instruction limit reached! 0.10/0.39 % (14690)------------------------------ 0.10/0.39 % (14690)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.10/0.39 % (14690)Termination reason: Unknown 0.10/0.39 % (14690)Termination phase: shuffling 0.10/0.39 0.10/0.39 % (14690)Memory used [KB]: 1535 0.10/0.39 % (14690)Time elapsed: 0.009 s 0.10/0.39 % (14690)Instructions burned: 17 (million) 0.10/0.39 % (14690)------------------------------ 0.10/0.39 % (14690)------------------------------ 0.20/0.39 % (14688)Instruction limit reached! 0.20/0.39 % (14688)------------------------------ 0.20/0.39 % (14688)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.39 % (14694)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 theBenchmark for (2999ds/21Mi) 0.20/0.39 % (14688)Termination reason: Unknown 0.20/0.39 % (14688)Termination phase: Property scanning 0.20/0.39 0.20/0.39 % (14688)Memory used [KB]: 1535 0.20/0.39 % (14688)Time elapsed: 0.016 s 0.20/0.39 % (14688)Instructions burned: 35 (million) 0.20/0.39 % (14688)------------------------------ 0.20/0.39 % (14688)------------------------------ 0.20/0.39 % (14687)Instruction limit reached! 0.20/0.39 % (14687)------------------------------ 0.20/0.39 % (14687)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.39 % (14687)Termination reason: Unknown 0.20/0.39 % (14687)Termination phase: Property scanning 0.20/0.39 0.20/0.39 % (14687)Memory used [KB]: 1535 0.20/0.39 % (14687)Time elapsed: 0.017 s 0.20/0.39 % (14687)Instructions burned: 36 (million) 0.20/0.39 % (14687)------------------------------ 0.20/0.39 % (14687)------------------------------ 0.20/0.40 % (14694)Instruction limit reached! 0.20/0.40 % (14694)------------------------------ 0.20/0.40 % (14694)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.40 % (14694)Termination reason: Unknown 0.20/0.40 % (14694)Termination phase: Property scanning 0.20/0.40 0.20/0.40 % (14694)Memory used [KB]: 1535 0.20/0.40 % (14694)Time elapsed: 0.010 s 0.20/0.40 % (14694)Instructions burned: 21 (million) 0.20/0.40 % (14694)------------------------------ 0.20/0.40 % (14694)------------------------------ 0.20/0.40 % (14695)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.20/0.40 % (14696)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 theBenchmark for (2999ds/1021Mi) 0.20/0.41 % (14695)Instruction limit reached! 0.20/0.41 % (14695)------------------------------ 0.20/0.41 % (14695)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (14695)Termination reason: Unknown 0.20/0.41 % (14695)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (14695)Memory used [KB]: 1279 0.20/0.41 % (14695)Time elapsed: 0.005 s 0.20/0.41 % (14695)Instructions burned: 7 (million) 0.20/0.41 % (14695)------------------------------ 0.20/0.41 % (14695)------------------------------ 0.20/0.41 % (14691)Instruction limit reached! 0.20/0.41 % (14691)------------------------------ 0.20/0.41 % (14691)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.41 % (14691)Termination reason: Unknown 0.20/0.41 % (14691)Termination phase: Saturation 0.20/0.41 0.20/0.41 % (14691)Memory used [KB]: 6268 0.20/0.41 % (14691)Time elapsed: 0.032 s 0.20/0.41 % (14691)Instructions burned: 75 (million) 0.20/0.41 % (14691)------------------------------ 0.20/0.41 % (14691)------------------------------ 0.20/0.41 % (14697)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi) 0.20/0.42 % (14699)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi) 0.20/0.42 % (14698)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 theBenchmark for (2999ds/9Mi) 0.20/0.42 % (14698)Instruction limit reached! 0.20/0.42 % (14698)------------------------------ 0.20/0.42 % (14698)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.42 % (14698)Termination reason: Unknown 0.20/0.42 % (14698)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (14698)Memory used [KB]: 1407 0.20/0.42 % (14698)Time elapsed: 0.006 s 0.20/0.42 % (14698)Instructions burned: 10 (million) 0.20/0.42 % (14698)------------------------------ 0.20/0.42 % (14698)------------------------------ 0.20/0.42 % (14700)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi) 0.20/0.43 % (14686)Instruction limit reached! 0.20/0.43 % (14686)------------------------------ 0.20/0.43 % (14686)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.43 % (14686)Termination reason: Unknown 0.20/0.43 % (14686)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (14686)Memory used [KB]: 6524 0.20/0.43 % (14686)Time elapsed: 0.050 s 0.20/0.43 % (14686)Instructions burned: 96 (million) 0.20/0.43 % (14686)------------------------------ 0.20/0.43 % (14686)------------------------------ 0.20/0.44 % (14693)Refutation not found, incomplete strategy 0.20/0.44 % (14693)------------------------------ 0.20/0.44 % (14693)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (14693)Termination reason: Refutation not found, incomplete strategy 0.20/0.44 0.20/0.44 0.20/0.44 % (14701)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.20/0.44 % (14693)Memory used [KB]: 7419 0.20/0.44 % (14693)Time elapsed: 0.059 s 0.20/0.44 % (14693)Instructions burned: 120 (million) 0.20/0.44 % (14693)------------------------------ 0.20/0.44 % (14693)------------------------------ 0.20/0.44 % (14697)Instruction limit reached! 0.20/0.44 % (14697)------------------------------ 0.20/0.44 % (14697)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (14697)Termination reason: Unknown 0.20/0.44 % (14697)Termination phase: Saturation 0.20/0.44 0.20/0.44 % (14697)Memory used [KB]: 6268 0.20/0.44 % (14697)Time elapsed: 0.031 s 0.20/0.44 % (14697)Instructions burned: 71 (million) 0.20/0.44 % (14697)------------------------------ 0.20/0.44 % (14697)------------------------------ 0.20/0.44 % (14702)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.20/0.44 % (14702)Instruction limit reached! 0.20/0.44 % (14702)------------------------------ 0.20/0.44 % (14702)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.44 % (14702)Termination reason: Unknown 0.20/0.44 % (14702)Termination phase: Naming 0.20/0.44 0.20/0.44 % (14702)Memory used [KB]: 1535 0.20/0.44 % (14702)Time elapsed: 0.007 s 0.20/0.44 % (14702)Instructions burned: 16 (million) 0.20/0.44 % (14702)------------------------------ 0.20/0.44 % (14702)------------------------------ 0.20/0.45 % (14704)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 theBenchmark for (2999ds/1041Mi) 0.20/0.45 % (14705)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2999ds/11Mi) 0.20/0.45 % (14703)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 theBenchmark for (2999ds/2Mi) 0.20/0.45 % (14703)Instruction limit reached! 0.20/0.45 % (14703)------------------------------ 0.20/0.45 % (14703)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.45 % (14703)Termination reason: Unknown 0.20/0.45 % (14703)Termination phase: shuffling 0.20/0.45 0.20/0.45 % (14703)Memory used [KB]: 1151 0.20/0.45 % (14703)Time elapsed: 0.002 s 0.20/0.45 % (14703)Instructions burned: 2 (million) 0.20/0.45 % (14703)------------------------------ 0.20/0.45 % (14703)------------------------------ 0.20/0.46 % (14705)Instruction limit reached! 0.20/0.46 % (14705)------------------------------ 0.20/0.46 % (14705)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (14705)Termination reason: Unknown 0.20/0.46 % (14705)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (14705)Memory used [KB]: 1407 0.20/0.46 % (14705)Time elapsed: 0.005 s 0.20/0.46 % (14705)Instructions burned: 12 (million) 0.20/0.46 % (14705)------------------------------ 0.20/0.46 % (14705)------------------------------ 0.20/0.46 % (14701)Instruction limit reached! 0.20/0.46 % (14701)------------------------------ 0.20/0.46 % (14701)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.46 % (14701)Termination reason: Unknown 0.20/0.46 % (14701)Termination phase: Property scanning 0.20/0.46 0.20/0.46 % (14701)Memory used [KB]: 2430 0.20/0.46 % (14701)Time elapsed: 0.030 s 0.20/0.46 % (14701)Instructions burned: 63 (million) 0.20/0.46 % (14701)------------------------------ 0.20/0.46 % (14701)------------------------------ 0.20/0.47 % (14707)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 theBenchmark for (2999ds/26Mi) 0.20/0.47 % (14706)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2999ds/140Mi) 0.20/0.47 % (14707)Instruction limit reached! 0.20/0.47 % (14707)------------------------------ 0.20/0.47 % (14707)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.47 % (14707)Termination reason: Unknown 0.20/0.47 % (14707)Termination phase: Unused predicate definition removal 0.20/0.47 0.20/0.47 % (14707)Memory used [KB]: 1535 0.20/0.47 % (14707)Time elapsed: 0.010 s 0.20/0.47 % (14707)Instructions burned: 29 (million) 0.20/0.47 % (14707)------------------------------ 0.20/0.47 % (14707)------------------------------ 0.20/0.48 % (14700)Instruction limit reached! 0.20/0.48 % (14700)------------------------------ 0.20/0.48 % (14700)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.48 % (14708)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2999ds/56Mi) 0.20/0.48 % (14700)Termination reason: Unknown 0.20/0.48 % (14700)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (14700)Memory used [KB]: 6908 0.20/0.48 % (14700)Time elapsed: 0.058 s 0.20/0.48 % (14700)Instructions burned: 128 (million) 0.20/0.48 % (14700)------------------------------ 0.20/0.48 % (14700)------------------------------ 0.20/0.48 % (14709)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi) 0.20/0.49 % (14710)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi) 0.20/0.50 % (14710)Instruction limit reached! 0.20/0.50 % (14710)------------------------------ 0.20/0.50 % (14710)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.50 % (14710)Termination reason: Unknown 0.20/0.50 % (14710)Termination phase: shuffling 0.20/0.50 0.20/0.50 % (14710)Memory used [KB]: 1279 0.20/0.50 % (14710)Time elapsed: 0.004 s 0.20/0.50 % (14710)Instructions burned: 4 (million) 0.20/0.50 % (14710)------------------------------ 0.20/0.50 % (14710)------------------------------ 0.20/0.50 % (14708)Instruction limit reached! 0.20/0.50 % (14708)------------------------------ 0.20/0.50 % (14708)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.20/0.50 % (14708)Termination reason: Unknown 0.20/0.50 % (14708)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (14708)Memory used [KB]: 1663 0.20/0.50 % (14708)Time elapsed: 0.026 s 0.20/0.50 % (14708)Instructions burned: 57 (million) 0.20/0.50 % (14708)------------------------------ 0.20/0.50 % (14708)------------------------------ 0.20/0.51 % (14711)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 theBenchmark for (2998ds/19Mi) 0.20/0.52 % (14696)First to succeed. 0.20/0.52 % (14712)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 theBenchmark for (2998ds/44Mi) 1.26/0.52 % (14711)Instruction limit reached! 1.26/0.52 % (14711)------------------------------ 1.26/0.52 % (14711)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.26/0.52 % (14711)Termination reason: Unknown 1.26/0.52 % (14711)Termination phase: Property scanning 1.26/0.52 1.26/0.52 % (14711)Memory used [KB]: 1535 1.26/0.52 % (14711)Time elapsed: 0.011 s 1.26/0.52 % (14711)Instructions burned: 21 (million) 1.26/0.52 % (14711)------------------------------ 1.26/0.52 % (14711)------------------------------ 1.26/0.52 % (14696)Refutation found. Thanks to Tanya! 1.26/0.52 % SZS status Theorem for theBenchmark 1.26/0.52 % SZS output start Proof for theBenchmark 1.26/0.52 thf(func_def_0, type, in: $i > $i > $o). 1.26/0.52 thf(func_def_1, type, exu: ($i > $o) > $o). 1.26/0.52 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.26/0.52 thf(func_def_8, type, powerset: $i > $i). 1.26/0.52 thf(func_def_10, type, setunion: $i > $i). 1.26/0.52 thf(func_def_19, type, descr: ($i > $o) > $i). 1.26/0.52 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_26, type, prop2set: $o > $i). 1.26/0.52 thf(func_def_36, type, nonempty: $i > $o). 1.26/0.52 thf(func_def_69, type, set2prop: $i > $o). 1.26/0.52 thf(func_def_88, type, subset: $i > $i > $o). 1.26/0.52 thf(func_def_89, type, disjoint: $i > $i > $o). 1.26/0.52 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.26/0.52 thf(func_def_114, type, binunion: $i > $i > $i). 1.26/0.52 thf(func_def_122, type, binintersect: $i > $i > $i). 1.26/0.52 thf(func_def_135, type, regular: $i > $o). 1.26/0.52 thf(func_def_136, type, setminus: $i > $i > $i). 1.26/0.52 thf(func_def_151, type, sP0: $o > $i > $i > $o). 1.26/0.52 thf(func_def_152, type, sP1: $i > $i > $i > $o). 1.26/0.52 thf(func_def_158, type, sP7: $i > $i > $i > $o). 1.26/0.52 thf(func_def_159, type, sP8: $i > $i > $o). 1.26/0.52 thf(func_def_160, type, sP9: $i > $o). 1.26/0.52 thf(func_def_161, type, sP10: $i > $i > $o). 1.26/0.52 thf(func_def_162, type, sP11: $i > $i > $o). 1.26/0.52 thf(func_def_163, type, sP12: $i > $i > $o). 1.26/0.52 thf(func_def_165, type, sP14: $i > $i > $o). 1.26/0.52 thf(func_def_173, type, sP22: ($i > $i > $o) > $i > $o). 1.26/0.52 thf(func_def_180, type, sP29: $i > $o). 1.26/0.52 thf(func_def_182, type, sP31: $i > $i > ($i > $o) > ($i > $o) > $o). 1.26/0.52 thf(func_def_184, type, sP33: $o > $i > $i > $o). 1.26/0.52 thf(func_def_192, type, sK41: $i > $o). 1.26/0.52 thf(func_def_195, type, sK44: $i > $i > $i > $o). 1.26/0.52 thf(func_def_199, type, sK48: $i > $o). 1.26/0.52 thf(func_def_202, type, sK51: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_211, type, sK60: $i > $o). 1.26/0.52 thf(func_def_213, type, sK62: ($i > $o) > $i). 1.26/0.52 thf(func_def_214, type, sK63: ($i > $o) > $i). 1.26/0.52 thf(func_def_234, type, sK83: $i > $o). 1.26/0.52 thf(func_def_236, type, sK85: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_240, type, sK89: $i > $i). 1.26/0.52 thf(func_def_250, type, sK99: $i > $o). 1.26/0.52 thf(func_def_253, type, sK102: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_256, type, sK105: $i > $i > $i). 1.26/0.52 thf(func_def_257, type, sK106: $i > $i > $i). 1.26/0.52 thf(func_def_258, type, sK107: $i > $i > $i). 1.26/0.52 thf(func_def_259, type, sK108: $i > $i > $i). 1.26/0.52 thf(func_def_260, type, sK109: $i > $i > $i). 1.26/0.52 thf(func_def_261, type, sK110: $i > $i > $i). 1.26/0.52 thf(func_def_262, type, sK111: $i > $i > $i). 1.26/0.52 thf(func_def_263, type, sK112: $i > $i > $i). 1.26/0.52 thf(func_def_264, type, sK113: $i > $i > $i > $i). 1.26/0.52 thf(func_def_265, type, sK114: $i > $i). 1.26/0.52 thf(func_def_266, type, sK115: $i > $i). 1.26/0.52 thf(func_def_267, type, sK116: $i > $i). 1.26/0.52 thf(func_def_268, type, sK117: $i > $i). 1.26/0.52 thf(func_def_269, type, sK118: $i > $i > $i). 1.26/0.52 thf(func_def_270, type, sK119: $i > $i > $i). 1.26/0.52 thf(func_def_271, type, sK120: $i > $i > $i). 1.26/0.52 thf(func_def_272, type, sK121: $i > $i > $i > $i). 1.26/0.52 thf(func_def_273, type, sK122: $i > $i > $i > $i). 1.26/0.52 thf(func_def_274, type, sK123: $i > $i). 1.26/0.52 thf(func_def_287, type, sK136: $i > $i > $i). 1.26/0.52 thf(func_def_289, type, sK138: $i > $o). 1.26/0.52 thf(func_def_293, type, sK142: $i > $i > $i). 1.26/0.52 thf(func_def_294, type, sK143: $i > $i > $i). 1.26/0.52 thf(func_def_300, type, sK149: $i > $o). 1.26/0.52 thf(func_def_308, type, sK157: $i > $i). 1.26/0.52 thf(func_def_312, type, sK161: $i > $o). 1.26/0.52 thf(func_def_315, type, sK164: $i > $o). 1.26/0.52 thf(func_def_317, type, sK166: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_318, type, sK167: $i > $o). 1.26/0.52 thf(func_def_321, type, sK170: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_322, type, sK171: $i > $o). 1.26/0.52 thf(func_def_325, type, sK174: $i > $o). 1.26/0.52 thf(func_def_326, type, sK175: $i > $o). 1.26/0.52 thf(func_def_327, type, sK176: ($i > $o) > ($i > $o) > $i). 1.26/0.52 thf(func_def_328, type, sK177: ($i > $o) > ($i > $o) > $i). 1.26/0.52 thf(func_def_337, type, sK186: $i > $i). 1.26/0.52 thf(func_def_343, type, sK192: $i > $i > $i). 1.26/0.52 thf(func_def_347, type, sK196: $i > $o). 1.26/0.52 thf(func_def_348, type, sK197: $i > $o). 1.26/0.52 thf(func_def_349, type, sK198: ($i > $o) > ($i > $o) > $i). 1.26/0.52 thf(func_def_350, type, sK199: ($i > $o) > ($i > $o) > $i). 1.26/0.52 thf(func_def_367, type, sK216: $i > $o). 1.26/0.52 thf(func_def_373, type, sK222: $i > $o). 1.26/0.52 thf(func_def_375, type, sK224: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_382, type, sK231: $i > $o). 1.26/0.52 thf(func_def_394, type, sK243: $i > $i > $o). 1.26/0.52 thf(func_def_396, type, sK245: $i > ($i > $i > $o) > $i). 1.26/0.52 thf(func_def_397, type, sK246: $i > ($i > $i > $o) > $i > $i). 1.26/0.52 thf(func_def_398, type, sK247: $i > ($i > $i > $o) > $i > $i). 1.26/0.52 thf(func_def_399, type, sK248: ($i > $i > $o) > $i > $i). 1.26/0.52 thf(func_def_400, type, sK249: $i > ($i > $i > $o) > $i > $i). 1.26/0.52 thf(func_def_406, type, sK255: $o > $i > $i > $i). 1.26/0.52 thf(func_def_412, type, sK261: $i > $i > $i). 1.26/0.52 thf(func_def_419, type, sK268: $i > $i > $i). 1.26/0.52 thf(func_def_423, type, sK272: $i > $i). 1.26/0.52 thf(func_def_425, type, sK274: $i > $i). 1.26/0.52 thf(func_def_434, type, sK283: $i > $i > $i). 1.26/0.52 thf(func_def_437, type, sK286: $i > $i > $i). 1.26/0.52 thf(func_def_439, type, sK288: $i > $i). 1.26/0.52 thf(func_def_440, type, sK289: $i > $i). 1.26/0.52 thf(func_def_441, type, sK290: $i > $i). 1.26/0.52 thf(func_def_446, type, sK295: $i > $o). 1.26/0.52 thf(func_def_449, type, sK298: $i > $i > ($i > $o) > ($i > $o) > $i). 1.26/0.52 thf(func_def_450, type, sK299: $i > $i > ($i > $o) > ($i > $o) > $i). 1.26/0.52 thf(func_def_453, type, sK302: $i > $o). 1.26/0.52 thf(func_def_454, type, sK303: $i > $o). 1.26/0.52 thf(func_def_455, type, sK304: $i > $o). 1.26/0.52 thf(func_def_456, type, sK305: $i > $i). 1.26/0.52 thf(func_def_457, type, sK306: ($i > $o) > $i). 1.26/0.52 thf(func_def_464, type, sK313: $i > $o). 1.26/0.52 thf(func_def_471, type, sK320: $i > $o). 1.26/0.52 thf(func_def_478, type, sK327: $i > $o). 1.26/0.52 thf(func_def_480, type, sK329: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_481, type, sK330: $i > $o). 1.26/0.52 thf(func_def_482, type, sK331: $i > $i). 1.26/0.52 thf(func_def_483, type, sK332: ($i > $o) > $i). 1.26/0.52 thf(func_def_486, type, sK335: $i > $o). 1.26/0.52 thf(func_def_488, type, sK337: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_493, type, sK342: $i > $o). 1.26/0.52 thf(func_def_496, type, sK345: ($i > $o) > $i). 1.26/0.52 thf(func_def_497, type, sK346: $i > $o). 1.26/0.52 thf(func_def_504, type, sK353: $i > $o). 1.26/0.52 thf(func_def_514, type, sK363: $i > $i). 1.26/0.52 thf(func_def_515, type, sK364: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_516, type, sK365: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_517, type, sK366: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_518, type, sK367: ($i > $o) > $i). 1.26/0.52 thf(func_def_519, type, sK368: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_520, type, sK369: ($i > $o) > $i). 1.26/0.52 thf(func_def_521, type, sK370: $i > $i). 1.26/0.52 thf(func_def_522, type, sK371: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_523, type, sK372: $i > $i). 1.26/0.52 thf(func_def_524, type, sK373: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_525, type, sK374: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_526, type, sK375: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_527, type, sK376: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_528, type, sK377: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_529, type, sK378: ($i > $o) > $i). 1.26/0.52 thf(func_def_530, type, sK379: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_531, type, sK380: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_532, type, sK381: ($i > $o) > $i). 1.26/0.52 thf(func_def_533, type, sK382: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_534, type, sK383: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_535, type, sK384: ($i > $o) > $i). 1.26/0.52 thf(func_def_536, type, sK385: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_537, type, sK386: ($i > $o) > $i). 1.26/0.52 thf(func_def_538, type, sK387: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_539, type, sK388: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_540, type, sK389: ($i > $o) > $i). 1.26/0.52 thf(func_def_541, type, sK390: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_542, type, sK391: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_543, type, sK392: ($i > $o) > $i). 1.26/0.52 thf(func_def_544, type, sK393: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_545, type, sK394: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_546, type, sK395: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_547, type, sK396: $i > $i). 1.26/0.52 thf(func_def_548, type, sK397: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_549, type, sK398: ($i > $o) > $i). 1.26/0.52 thf(func_def_550, type, sK399: $i > $i). 1.26/0.52 thf(func_def_551, type, sK400: $i > $i). 1.26/0.52 thf(func_def_552, type, sK401: $i > $i). 1.26/0.52 thf(func_def_555, type, sK404: ($i > $o) > $i). 1.26/0.52 thf(func_def_556, type, sK405: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_557, type, sK406: $i > ($i > $o) > $i). 1.26/0.52 thf(func_def_559, type, sK408: ($i > $o) > $i). 1.26/0.52 thf(func_def_560, type, sK409: ($i > $o) > $i). 1.26/0.52 thf(func_def_562, type, sK411: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_565, type, sK414: ($i > $o) > $i > $i). 1.26/0.52 thf(func_def_566, type, sK415: ($i > $o) > $i). 1.26/0.52 thf(func_def_567, type, sK416: ($i > $i > $o) > $i > $i > $i). 1.26/0.52 thf(func_def_569, type, ph417: !>[X0: $tType]:(X0)). 1.26/0.52 thf(f4311,plain,( 1.26/0.52 $false), 1.26/0.52 inference(trivial_inequality_removal,[],[f4309])). 1.26/0.52 thf(f4309,plain,( 1.26/0.52 ($false = $true)), 1.26/0.52 inference(superposition,[],[f1532,f4260])). 1.26/0.52 thf(f4260,plain,( 1.26/0.52 ($false = (in @ sK180 @ sK179))), 1.26/0.52 inference(not_proxy_clausification,[],[f4259])). 1.26/0.52 thf(f4259,plain,( 1.26/0.52 ((~ (in @ sK180 @ sK179)) = $true)), 1.26/0.52 inference(beta_eta_normalization,[],[f4258])). 1.26/0.52 thf(f4258,plain,( 1.26/0.52 ($true = ((^[Y0 : $i]: (~ (in @ Y0 @ sK179))) @ sK180))), 1.26/0.52 inference(trivial_inequality_removal,[],[f4254])). 1.26/0.52 thf(f4254,plain,( 1.26/0.52 ($true != $true) | ($true = ((^[Y0 : $i]: (~ (in @ Y0 @ sK179))) @ sK180))), 1.26/0.52 inference(superposition,[],[f2733,f2273])). 1.26/0.52 thf(f2273,plain,( 1.26/0.52 ((in @ sK180 @ (dsetconstr @ sK178 @ (^[Y0 : $i]: (~ (in @ Y0 @ sK179))))) = $true)), 1.26/0.52 inference(beta_eta_normalization,[],[f1987])). 1.26/0.52 thf(f1987,plain,( 1.26/0.52 ((in @ sK180 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (~ (in @ Y2 @ Y1))))))) @ sK178 @ sK179)) = $true)), 1.26/0.52 inference(definition_unfolding,[],[f1533,f1286])). 1.26/0.52 thf(f1286,plain,( 1.26/0.52 (setminus = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (~ (in @ Y2 @ Y1))))))))), 1.26/0.52 inference(cnf_transformation,[],[f153])). 1.26/0.52 thf(f153,plain,( 1.26/0.52 (setminus = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (~ (in @ Y2 @ Y1))))))))), 1.26/0.52 inference(fool_elimination,[],[f152])). 1.26/0.52 thf(f152,plain,( 1.26/0.52 ((^[X0 : $i, X1 : $i] : (dsetconstr @ X0 @ (^[X2 : $i] : (~(in @ X2 @ X1))))) = setminus)), 1.26/0.52 inference(rectify,[],[f120])). 1.26/0.52 thf(f120,axiom,( 1.26/0.52 ((^[X3 : $i, X4 : $i] : (dsetconstr @ X3 @ (^[X1 : $i] : (~(in @ X1 @ X4))))) = setminus)), 1.26/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminus)). 1.26/0.52 thf(f1533,plain,( 1.26/0.52 ($true = (in @ sK180 @ (setminus @ sK178 @ sK179)))), 1.26/0.52 inference(cnf_transformation,[],[f847])). 1.26/0.52 thf(f847,plain,( 1.26/0.52 (setadjoinIL = $true) & (setadjoinSub = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (exuI2 = $true) & (exuE2 = $true) & (setadjoinOr = $true) & (noeltsimpempty = $true) & (binunionE = $true) & (subsetRefl = $true) & (binintersectSubset3 = $true) & (($true = (in @ sK180 @ (setminus @ sK178 @ sK179))) & ((in @ sK180 @ sK179) = $true)) & (foundationAx = $true) & (subsetTrans = $true) & (notinemptyset = $true) & (quantDeMorgan4 = $true) & (exuEu = $true) & (sepSubset = $true) & (bs114d = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (prop2setE = $true) & (notsubsetI = $true) & (setunionE = $true) & (notequalI1 = $true) & (wellorderingAx = $true) & (powerset__Cong = $true) & (replAx = $true) & (binunionIR = $true) & (omega0Ax = $true) & (setadjoinE = $true) & (quantDeMorgan3 = $true) & (nonemptyImpWitness = $true) & (powersetI = $true) & (exuI1 = $true) & (emptysetimpfalse = $true) & (setextsub = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (setminusEL = $true) & (prop2set2propI = $true) & (dsetconstrEL = $true) & (notinsingleton = $true) & (powersetE1 = $true) & (subsetE = $true) & (emptysetE = $true) & (emptyinPowerset = $true) & (subset2powerset = $true) & (descrp = $true) & (omegaSAx = $true) & (dsetconstrER = $true) & (subsetI2 = $true) & (binintersectI = $true) & (binintersectSubset5 = $true) & (descr__Cong = $true) & (setext = $true) & (inPowerset = $true) & (omega__Cong = $true) & (powersetAx = $true) & (binintersectEL = $true) & (binintersectLsub = $true) & (exuE1 = $true) & (binintersectSubset1 = $true) & (exuE3u = $true) & (binintersectER = $true) & (notdallE = $true) & (powersetE = $true) & (binunionRsub = $true) & (setunionI = $true) & (emptyI = $true) & (nonemptyE1 = $true) & (upairsetIR = $true) & (emptyinunitempty = $true) & (emptysetsubset = $true) & (emptyset__Cong = $true) & (uniqinunit = $true) & (notequalI2 = $true) & (eqinunit = $true) & (exuI3 = $true) & (prop2setI = $true) & (binunionIL = $true) & (exuE3e = $true) & (upairsetIL = $true) & (setoftrueEq = $true) & (dsetconstr__Cong = $true) & (powersetsubset = $true) & (emptyE1 = $true) & (subPowSU = $true) & (subsetI1 = $true) & (eqimpsubset2 = $true) & (inCongP = $true) & (upairset2IR = $true) & (setadjoinSub2 = $true) & (binintersectSubset4 = $true) & (notdexE = $true) & (subsetemptysetimpeq = $true) & (nonemptyI = $true) & (setunionAx = $true) & (subsetE2 = $true) & (exu__Cong = $true) & (dsetconstrI = $true) & (upairsetE = $true) & (sepInPowerset = $true) & (setadjoinIR = $true) & (setbeta = $true) & (singletonsswitch = $true) & (nonemptyI1 = $true) & (disjointsetsI1 = $true) & (emptysetAx = $true) & (binintersectRsub = $true) & (emptyInPowerset = $true) & (eqimpsubset1 = $true) & (quantDeMorgan2 = $true) & (powersetI1 = $true) & (quantDeMorgan1 = $true) & (in__Cong = $true) & (setunion__Cong = $true) & (setextAx = $true) & (binunionLsub = $true)), 1.26/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK178,sK179,sK180])],[f400,f846])). 1.26/0.52 thf(f846,plain,( 1.26/0.52 ? [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) & ((in @ X2 @ X1) = $true)) => (($true = (in @ sK180 @ (setminus @ sK178 @ sK179))) & ((in @ sK180 @ sK179) = $true))), 1.26/0.52 introduced(choice_axiom,[])). 1.26/0.52 thf(f400,plain,( 1.26/0.52 (setadjoinIL = $true) & (setadjoinSub = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (exuI2 = $true) & (exuE2 = $true) & (setadjoinOr = $true) & (noeltsimpempty = $true) & (binunionE = $true) & (subsetRefl = $true) & (binintersectSubset3 = $true) & ? [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) & ((in @ X2 @ X1) = $true)) & (foundationAx = $true) & (subsetTrans = $true) & (notinemptyset = $true) & (quantDeMorgan4 = $true) & (exuEu = $true) & (sepSubset = $true) & (bs114d = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (prop2setE = $true) & (notsubsetI = $true) & (setunionE = $true) & (notequalI1 = $true) & (wellorderingAx = $true) & (powerset__Cong = $true) & (replAx = $true) & (binunionIR = $true) & (omega0Ax = $true) & (setadjoinE = $true) & (quantDeMorgan3 = $true) & (nonemptyImpWitness = $true) & (powersetI = $true) & (exuI1 = $true) & (emptysetimpfalse = $true) & (setextsub = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (setminusEL = $true) & (prop2set2propI = $true) & (dsetconstrEL = $true) & (notinsingleton = $true) & (powersetE1 = $true) & (subsetE = $true) & (emptysetE = $true) & (emptyinPowerset = $true) & (subset2powerset = $true) & (descrp = $true) & (omegaSAx = $true) & (dsetconstrER = $true) & (subsetI2 = $true) & (binintersectI = $true) & (binintersectSubset5 = $true) & (descr__Cong = $true) & (setext = $true) & (inPowerset = $true) & (omega__Cong = $true) & (powersetAx = $true) & (binintersectEL = $true) & (binintersectLsub = $true) & (exuE1 = $true) & (binintersectSubset1 = $true) & (exuE3u = $true) & (binintersectER = $true) & (notdallE = $true) & (powersetE = $true) & (binunionRsub = $true) & (setunionI = $true) & (emptyI = $true) & (nonemptyE1 = $true) & (upairsetIR = $true) & (emptyinunitempty = $true) & (emptysetsubset = $true) & (emptyset__Cong = $true) & (uniqinunit = $true) & (notequalI2 = $true) & (eqinunit = $true) & (exuI3 = $true) & (prop2setI = $true) & (binunionIL = $true) & (exuE3e = $true) & (upairsetIL = $true) & (setoftrueEq = $true) & (dsetconstr__Cong = $true) & (powersetsubset = $true) & (emptyE1 = $true) & (subPowSU = $true) & (subsetI1 = $true) & (eqimpsubset2 = $true) & (inCongP = $true) & (upairset2IR = $true) & (setadjoinSub2 = $true) & (binintersectSubset4 = $true) & (notdexE = $true) & (subsetemptysetimpeq = $true) & (nonemptyI = $true) & (setunionAx = $true) & (subsetE2 = $true) & (exu__Cong = $true) & (dsetconstrI = $true) & (upairsetE = $true) & (sepInPowerset = $true) & (setadjoinIR = $true) & (setbeta = $true) & (singletonsswitch = $true) & (nonemptyI1 = $true) & (disjointsetsI1 = $true) & (emptysetAx = $true) & (binintersectRsub = $true) & (emptyInPowerset = $true) & (eqimpsubset1 = $true) & (quantDeMorgan2 = $true) & (powersetI1 = $true) & (quantDeMorgan1 = $true) & (in__Cong = $true) & (setunion__Cong = $true) & (setextAx = $true) & (binunionLsub = $true)), 1.26/0.52 inference(flattening,[],[f399])). 1.26/0.52 thf(f399,plain,( 1.26/0.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) & ((in @ X2 @ X1) = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.26/0.52 inference(ennf_transformation,[],[f372])). 1.26/0.52 thf(f372,plain,( 1.26/0.52 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) => ((in @ X2 @ X1) != $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.26/0.52 inference(flattening,[],[f189])). 1.26/0.52 thf(f189,plain,( 1.26/0.52 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X0 @ X1))) => ~((in @ X2 @ X1) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.26/0.52 inference(fool_elimination,[],[f188])). 1.26/0.52 thf(f188,plain,( 1.26/0.52 ~(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 => ! [X0,X1,X2] : ((in @ X2 @ (setminus @ X0 @ X1)) => ~(in @ X2 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.26/0.52 inference(rectify,[],[f124])). 1.26/0.52 thf(f124,negated_conjecture,( 1.26/0.52 ~(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 => ! [X3,X4,X1] : ((in @ X1 @ (setminus @ X3 @ X4)) => ~(in @ X1 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.26/0.52 inference(negated_conjecture,[],[f123])). 1.26/0.52 thf(f123,conjecture,( 1.26/0.52 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 => ! [X3,X4,X1] : ((in @ X1 @ (setminus @ X3 @ X4)) => ~(in @ X1 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.26/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusER)). 1.26/0.52 thf(f2733,plain,( 1.26/0.52 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ X5))) | ($true = (X5 @ X3))) )), 1.26/0.52 inference(beta_eta_normalization,[],[f2732])). 1.26/0.52 thf(f2732,plain,( 1.26/0.52 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true = (X5 @ X3)) | ($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0)))))) )), 1.26/0.52 inference(trivial_inequality_removal,[],[f1954])). 1.26/0.52 thf(f1954,plain,( 1.26/0.52 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != $true) | ($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (X5 @ X3))) )), 1.26/0.52 inference(definition_unfolding,[],[f1376,f1492])). 1.26/0.52 thf(f1492,plain,( 1.26/0.52 (dsetconstrER = $true)), 1.26/0.52 inference(cnf_transformation,[],[f847])). 1.26/0.52 thf(f1376,plain,( 1.26/0.52 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (X5 @ X3)) | (dsetconstrER != $true)) )), 1.26/0.52 inference(cnf_transformation,[],[f796])). 1.26/0.52 thf(f796,plain,( 1.26/0.52 ((dsetconstrER = $true) | (((in @ sK147 @ (dsetconstr @ sK148 @ (^[Y0 : $i]: (sK149 @ Y0)))) = $true) & ((sK149 @ sK147) != $true))) & (! [X3,X4,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (X5 @ X3))) | (dsetconstrER != $true))), 1.26/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK147,sK148,sK149])],[f794,f795])). 1.26/0.52 thf(f795,plain,( 1.26/0.52 ? [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) & ((X2 @ X0) != $true)) => (((in @ sK147 @ (dsetconstr @ sK148 @ (^[Y0 : $i]: (sK149 @ Y0)))) = $true) & ((sK149 @ sK147) != $true))), 1.26/0.52 introduced(choice_axiom,[])). 1.26/0.52 thf(f794,plain,( 1.26/0.52 ((dsetconstrER = $true) | ? [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) & ((X2 @ X0) != $true))) & (! [X3,X4,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (X5 @ X3))) | (dsetconstrER != $true))), 1.26/0.52 inference(rectify,[],[f793])). 1.26/0.52 thf(f793,plain,( 1.26/0.52 ((dsetconstrER = $true) | ? [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) & ((X2 @ X0) != $true))) & (! [X0,X1,X2 : $i > $o] : (($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) | ((X2 @ X0) = $true)) | (dsetconstrER != $true))), 1.26/0.52 inference(nnf_transformation,[],[f502])). 1.26/0.52 thf(f502,plain,( 1.26/0.52 (dsetconstrER = $true) <=> ! [X0,X1,X2 : $i > $o] : (($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) | ((X2 @ X0) = $true))), 1.26/0.52 inference(ennf_transformation,[],[f233])). 1.26/0.52 thf(f233,plain,( 1.26/0.52 ! [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) => ((X2 @ X0) = $true)) <=> (dsetconstrER = $true)), 1.26/0.52 inference(fool_elimination,[],[f232])). 1.26/0.52 thf(f232,plain,( 1.26/0.52 (! [X0,X1,X2 : $i > $o] : ((in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))) => (X2 @ X0)) = dsetconstrER)), 1.26/0.52 inference(rectify,[],[f16])). 1.26/0.52 thf(f16,axiom,( 1.26/0.52 (! [X1,X3,X0 : $i > $o] : ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) => (X0 @ X1)) = dsetconstrER)), 1.26/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)). 1.26/0.52 thf(f1532,plain,( 1.26/0.52 ((in @ sK180 @ sK179) = $true)), 1.26/0.52 inference(cnf_transformation,[],[f847])). 1.26/0.52 % SZS output end Proof for theBenchmark 1.26/0.52 % (14696)------------------------------ 1.26/0.52 % (14696)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.26/0.52 % (14696)Termination reason: Refutation 1.26/0.52 1.26/0.52 % (14696)Memory used [KB]: 8443 1.26/0.52 % (14696)Time elapsed: 0.118 s 1.26/0.52 % (14696)Instructions burned: 237 (million) 1.26/0.52 % (14696)------------------------------ 1.26/0.52 % (14696)------------------------------ 1.26/0.52 % (14685)Success in time 0.154 s 1.26/0.52 % Vampire---4.8 exiting 1.26/0.52 EOF