0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % 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 0.09/0.31 % Computer : n024.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 300 0.09/0.31 % WCLimit : 300 0.09/0.31 % DateTime : Fri Jul 5 04:28:09 EDT 2024 0.14/0.31 % CPUTime : 0.14/0.32 This is a THF_ problem 0.14/0.33 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 0.15/0.36 % (12717)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.15/0.36 % (12715)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.15/0.36 % (12710)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.15/0.36 % (12714)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) 0.15/0.36 % (12713)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.15/0.36 % (12716)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) 0.15/0.36 % (12712)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.15/0.36 % (12718)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) 0.15/0.36 % (12717)Instruction limit reached! 0.15/0.36 % (12717)------------------------------ 0.15/0.36 % (12717)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.36 % (12717)Termination reason: Unknown 0.15/0.36 % (12717)Termination phase: shuffling 0.15/0.36 0.15/0.36 % (12717)Memory used [KB]: 1407 0.15/0.36 % (12717)Time elapsed: 0.004 s 0.15/0.36 % (12717)Instructions burned: 4 (million) 0.15/0.36 % (12717)------------------------------ 0.15/0.36 % (12717)------------------------------ 0.15/0.37 % (12715)Instruction limit reached! 0.15/0.37 % (12715)------------------------------ 0.15/0.37 % (12715)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.37 % (12715)Termination reason: Unknown 0.15/0.37 % (12715)Termination phase: shuffling 0.15/0.37 0.15/0.37 % (12715)Memory used [KB]: 1791 0.15/0.37 % (12715)Time elapsed: 0.009 s 0.15/0.37 % (12715)Instructions burned: 17 (million) 0.15/0.37 % (12715)------------------------------ 0.15/0.37 % (12715)------------------------------ 0.15/0.37 % (12719)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) 0.15/0.37 % (12713)Instruction limit reached! 0.15/0.37 % (12713)------------------------------ 0.15/0.37 % (12713)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.37 % (12713)Termination reason: Unknown 0.15/0.37 % (12713)Termination phase: shuffling 0.15/0.37 0.15/0.37 % (12713)Memory used [KB]: 2174 0.15/0.37 % (12713)Time elapsed: 0.017 s 0.15/0.37 % (12713)Instructions burned: 34 (million) 0.15/0.37 % (12713)------------------------------ 0.15/0.37 % (12713)------------------------------ 0.15/0.38 % (12712)Instruction limit reached! 0.15/0.38 % (12712)------------------------------ 0.15/0.38 % (12712)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.38 % (12712)Termination reason: Unknown 0.15/0.38 % (12712)Termination phase: shuffling 0.15/0.38 0.15/0.38 % (12712)Memory used [KB]: 2174 0.15/0.38 % (12712)Time elapsed: 0.017 s 0.15/0.38 % (12712)Instructions burned: 36 (million) 0.15/0.38 % (12712)------------------------------ 0.15/0.38 % (12712)------------------------------ 0.15/0.38 % (12720)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi) 0.15/0.38 % (12720)Instruction limit reached! 0.15/0.38 % (12720)------------------------------ 0.15/0.38 % (12720)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.38 % (12720)Termination reason: Unknown 0.15/0.38 % (12720)Termination phase: shuffling 0.15/0.38 0.15/0.38 % (12720)Memory used [KB]: 1535 0.15/0.38 % (12720)Time elapsed: 0.005 s 0.15/0.38 % (12720)Instructions burned: 7 (million) 0.15/0.38 % (12720)------------------------------ 0.15/0.38 % (12720)------------------------------ 0.15/0.38 % (12719)Instruction limit reached! 0.15/0.38 % (12719)------------------------------ 0.15/0.38 % (12719)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.38 % (12719)Termination reason: Unknown 0.15/0.38 % (12719)Termination phase: shuffling 0.15/0.38 0.15/0.38 % (12719)Memory used [KB]: 1791 0.15/0.38 % (12719)Time elapsed: 0.012 s 0.15/0.38 % (12719)Instructions burned: 22 (million) 0.15/0.38 % (12719)------------------------------ 0.15/0.38 % (12719)------------------------------ 0.15/0.39 % (12722)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) 0.15/0.39 % (12721)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) 0.15/0.39 % (12716)Instruction limit reached! 0.15/0.39 % (12716)------------------------------ 0.15/0.39 % (12716)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.39 % (12716)Termination reason: Unknown 0.15/0.39 % (12716)Termination phase: Property scanning 0.15/0.39 0.15/0.39 % (12716)Memory used [KB]: 2302 0.15/0.39 % (12716)Time elapsed: 0.034 s 0.15/0.39 % (12716)Instructions burned: 75 (million) 0.15/0.39 % (12716)------------------------------ 0.15/0.39 % (12716)------------------------------ 0.15/0.40 % (12724)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) 0.15/0.40 % (12723)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) 0.15/0.40 % (12710)Instruction limit reached! 0.15/0.40 % (12710)------------------------------ 0.15/0.40 % (12710)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.40 % (12710)Termination reason: Unknown 0.15/0.40 % (12710)Termination phase: Function definition elimination 0.15/0.40 0.15/0.40 % (12710)Memory used [KB]: 2430 0.15/0.40 % (12710)Time elapsed: 0.043 s 0.15/0.40 % (12710)Instructions burned: 96 (million) 0.15/0.40 % (12710)------------------------------ 0.15/0.40 % (12710)------------------------------ 0.15/0.40 % (12723)Instruction limit reached! 0.15/0.40 % (12723)------------------------------ 0.15/0.40 % (12723)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.40 % (12723)Termination reason: Unknown 0.15/0.40 % (12723)Termination phase: shuffling 0.15/0.40 0.15/0.40 % (12723)Memory used [KB]: 1535 0.15/0.40 % (12723)Time elapsed: 0.006 s 0.15/0.40 % (12723)Instructions burned: 10 (million) 0.15/0.40 % (12723)------------------------------ 0.15/0.40 % (12723)------------------------------ 0.15/0.41 % (12725)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) 0.15/0.41 % (12726)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi) 0.15/0.41 % (12727)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi) 0.15/0.42 % (12722)Instruction limit reached! 0.15/0.42 % (12722)------------------------------ 0.15/0.42 % (12722)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.42 % (12722)Termination reason: Unknown 0.15/0.42 % (12722)Termination phase: Property scanning 0.15/0.42 0.15/0.42 % (12722)Memory used [KB]: 2430 0.15/0.42 % (12722)Time elapsed: 0.030 s 0.15/0.42 % (12722)Instructions burned: 72 (million) 0.15/0.42 % (12722)------------------------------ 0.15/0.42 % (12722)------------------------------ 0.15/0.42 % (12727)Instruction limit reached! 0.15/0.42 % (12727)------------------------------ 0.15/0.42 % (12727)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.42 % (12727)Termination reason: Unknown 0.15/0.42 % (12727)Termination phase: shuffling 0.15/0.42 0.15/0.42 % (12727)Memory used [KB]: 1663 0.15/0.42 % (12727)Time elapsed: 0.009 s 0.15/0.42 % (12727)Instructions burned: 15 (million) 0.15/0.42 % (12727)------------------------------ 0.15/0.42 % (12727)------------------------------ 0.15/0.43 % (12729)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) 0.15/0.43 % (12729)Instruction limit reached! 0.15/0.43 % (12729)------------------------------ 0.15/0.43 % (12729)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.43 % (12729)Termination reason: Unknown 0.15/0.43 % (12729)Termination phase: shuffling 0.15/0.43 0.15/0.43 % (12729)Memory used [KB]: 1407 0.15/0.43 % (12729)Time elapsed: 0.003 s 0.15/0.43 % (12729)Instructions burned: 3 (million) 0.15/0.43 % (12729)------------------------------ 0.15/0.43 % (12729)------------------------------ 0.15/0.44 % (12730)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) 0.15/0.44 % (12726)Instruction limit reached! 0.15/0.44 % (12726)------------------------------ 0.15/0.44 % (12726)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.44 % (12726)Termination reason: Unknown 0.15/0.44 % (12726)Termination phase: Preprocessing 3 0.15/0.44 0.15/0.44 % (12726)Memory used [KB]: 2686 0.15/0.44 % (12726)Time elapsed: 0.031 s 0.15/0.44 % (12726)Instructions burned: 61 (million) 0.15/0.44 % (12726)------------------------------ 0.15/0.44 % (12726)------------------------------ 0.15/0.45 % (12732)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) 0.15/0.45 % (12732)Instruction limit reached! 0.15/0.45 % (12732)------------------------------ 0.15/0.45 % (12732)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.45 % (12732)Termination reason: Unknown 0.15/0.45 % (12732)Termination phase: shuffling 0.15/0.45 0.15/0.45 % (12732)Memory used [KB]: 1535 0.15/0.45 % (12732)Time elapsed: 0.007 s 0.15/0.45 % (12732)Instructions burned: 11 (million) 0.15/0.45 % (12732)------------------------------ 0.15/0.45 % (12732)------------------------------ 0.15/0.46 % (12733)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2998ds/140Mi) 0.15/0.46 % (12725)Instruction limit reached! 0.15/0.46 % (12725)------------------------------ 0.15/0.46 % (12725)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.46 % (12725)Termination reason: Unknown 0.15/0.46 % (12725)Termination phase: Property scanning 0.15/0.46 0.15/0.46 % (12725)Memory used [KB]: 2558 0.15/0.46 % (12725)Time elapsed: 0.056 s 0.15/0.46 % (12725)Instructions burned: 130 (million) 0.15/0.46 % (12725)------------------------------ 0.15/0.46 % (12725)------------------------------ 0.15/0.47 % (12734)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 (2998ds/26Mi) 0.15/0.47 % (12735)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi) 0.15/0.48 % (12734)Instruction limit reached! 0.15/0.48 % (12734)------------------------------ 0.15/0.48 % (12734)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.48 % (12734)Termination reason: Unknown 0.15/0.48 % (12734)Termination phase: shuffling 0.15/0.48 0.15/0.48 % (12734)Memory used [KB]: 1918 0.15/0.48 % (12734)Time elapsed: 0.013 s 0.15/0.48 % (12734)Instructions burned: 26 (million) 0.15/0.48 % (12734)------------------------------ 0.15/0.48 % (12734)------------------------------ 0.15/0.49 % (12736)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) 0.15/0.50 % (12735)Instruction limit reached! 0.15/0.50 % (12735)------------------------------ 0.15/0.50 % (12735)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.50 % (12735)Termination reason: Unknown 0.15/0.50 % (12735)Termination phase: Property scanning 0.15/0.50 0.15/0.50 % (12735)Memory used [KB]: 2302 0.15/0.50 % (12735)Time elapsed: 0.026 s 0.15/0.50 % (12735)Instructions burned: 57 (million) 0.15/0.50 % (12735)------------------------------ 0.15/0.50 % (12735)------------------------------ 0.15/0.51 % (12737)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) 0.15/0.51 % (12737)Instruction limit reached! 0.15/0.51 % (12737)------------------------------ 0.15/0.51 % (12737)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.51 % (12737)Termination reason: Unknown 0.15/0.51 % (12737)Termination phase: shuffling 0.15/0.51 0.15/0.51 % (12737)Memory used [KB]: 1407 0.15/0.51 % (12737)Time elapsed: 0.004 s 0.15/0.51 % (12737)Instructions burned: 4 (million) 0.15/0.51 % (12737)------------------------------ 0.15/0.51 % (12737)------------------------------ 0.15/0.52 % (12733)Instruction limit reached! 0.15/0.52 % (12733)------------------------------ 0.15/0.52 % (12733)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.52 % (12733)Termination reason: Unknown 0.15/0.52 % (12733)Termination phase: Saturation 0.15/0.52 0.15/0.52 % (12733)Memory used [KB]: 7036 0.15/0.52 % (12733)Time elapsed: 0.060 s 0.15/0.52 % (12733)Instructions burned: 140 (million) 0.15/0.52 % (12733)------------------------------ 0.15/0.52 % (12733)------------------------------ 0.15/0.53 % (12738)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) 0.15/0.53 % (12739)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) 0.15/0.53 % (12714)Instruction limit reached! 0.15/0.53 % (12714)------------------------------ 0.15/0.53 % (12714)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.53 % (12714)Termination reason: Unknown 0.15/0.53 % (12714)Termination phase: Saturation 0.15/0.53 0.15/0.53 % (12714)Memory used [KB]: 8699 0.15/0.53 % (12714)Time elapsed: 0.172 s 0.15/0.53 % (12714)Instructions burned: 385 (million) 0.15/0.53 % (12714)------------------------------ 0.15/0.53 % (12714)------------------------------ 0.15/0.54 % (12738)Instruction limit reached! 0.15/0.54 % (12738)------------------------------ 0.15/0.54 % (12738)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.54 % (12738)Termination reason: Unknown 0.15/0.54 % (12738)Termination phase: shuffling 0.15/0.54 0.15/0.54 % (12738)Memory used [KB]: 1791 0.15/0.54 % (12738)Time elapsed: 0.011 s 0.15/0.54 % (12738)Instructions burned: 20 (million) 0.15/0.54 % (12738)------------------------------ 0.15/0.54 % (12738)------------------------------ 0.15/0.54 % (12740)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2997ds/191Mi) 0.15/0.55 % (12739)Instruction limit reached! 0.15/0.55 % (12739)------------------------------ 0.15/0.55 % (12739)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.55 % (12739)Termination reason: Unknown 0.15/0.55 % (12739)Termination phase: Property scanning 0.15/0.55 0.15/0.55 % (12739)Memory used [KB]: 2302 0.15/0.55 % (12739)Time elapsed: 0.021 s 0.15/0.55 % (12739)Instructions burned: 45 (million) 0.15/0.55 % (12739)------------------------------ 0.15/0.55 % (12739)------------------------------ 0.15/0.55 % (12741)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi) 0.15/0.56 % (12742)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on theBenchmark for (2997ds/105Mi) 0.15/0.58 % (12741)Instruction limit reached! 0.15/0.58 % (12741)------------------------------ 0.15/0.58 % (12741)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.15/0.58 % (12741)Termination reason: Unknown 0.15/0.58 % (12741)Termination phase: Property scanning 0.15/0.58 0.15/0.58 % (12741)Memory used [KB]: 2302 0.15/0.58 % (12741)Time elapsed: 0.029 s 0.15/0.58 % (12741)Instructions burned: 64 (million) 0.15/0.58 % (12741)------------------------------ 0.15/0.58 % (12741)------------------------------ 1.94/0.59 % (12743)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi) 1.94/0.59 % (12743)Instruction limit reached! 1.94/0.59 % (12743)------------------------------ 1.94/0.59 % (12743)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.94/0.59 % (12743)Termination reason: Unknown 1.94/0.59 % (12743)Termination phase: shuffling 1.94/0.59 1.94/0.59 % (12743)Memory used [KB]: 1407 1.94/0.59 % (12743)Time elapsed: 0.003 s 1.94/0.59 % (12743)Instructions burned: 3 (million) 1.94/0.59 % (12743)------------------------------ 1.94/0.59 % (12743)------------------------------ 2.07/0.61 % (12742)Instruction limit reached! 2.07/0.61 % (12742)------------------------------ 2.07/0.61 % (12742)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.07/0.61 % (12742)Termination reason: Unknown 2.07/0.61 % (12742)Termination phase: Property scanning 2.07/0.61 2.07/0.61 % (12742)Memory used [KB]: 2558 2.07/0.61 % (12742)Time elapsed: 0.046 s 2.07/0.61 % (12742)Instructions burned: 107 (million) 2.07/0.61 % (12742)------------------------------ 2.07/0.61 % (12742)------------------------------ 2.07/0.61 % (12744)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 theBenchmark for (2997ds/238Mi) 2.07/0.62 % (12745)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 theBenchmark for (2997ds/3Mi) 2.07/0.62 % (12745)Instruction limit reached! 2.07/0.62 % (12745)------------------------------ 2.07/0.62 % (12745)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.07/0.62 % (12745)Termination reason: Unknown 2.07/0.62 % (12745)Termination phase: shuffling 2.07/0.62 2.07/0.62 % (12745)Memory used [KB]: 1407 2.07/0.62 % (12745)Time elapsed: 0.003 s 2.07/0.62 % (12745)Instructions burned: 3 (million) 2.07/0.62 % (12745)------------------------------ 2.07/0.62 % (12745)------------------------------ 2.07/0.62 % (12736)Instruction limit reached! 2.07/0.62 % (12736)------------------------------ 2.07/0.62 % (12736)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.07/0.62 % (12736)Termination reason: Unknown 2.07/0.62 % (12736)Termination phase: Saturation 2.07/0.62 2.07/0.62 % (12736)Memory used [KB]: 9466 2.07/0.62 % (12736)Time elapsed: 0.133 s 2.07/0.62 % (12736)Instructions burned: 275 (million) 2.07/0.62 % (12736)------------------------------ 2.07/0.62 % (12736)------------------------------ 2.07/0.62 % (12740)Instruction limit reached! 2.07/0.62 % (12740)------------------------------ 2.07/0.62 % (12740)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.07/0.62 % (12740)Termination reason: Unknown 2.07/0.62 % (12740)Termination phase: Saturation 2.07/0.62 2.07/0.62 % (12740)Memory used [KB]: 7547 2.07/0.62 % (12740)Time elapsed: 0.083 s 2.07/0.62 % (12740)Instructions burned: 193 (million) 2.07/0.62 % (12740)------------------------------ 2.07/0.62 % (12740)------------------------------ 2.32/0.63 % (12746)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2997ds/4Mi) 2.32/0.64 % (12746)Instruction limit reached! 2.32/0.64 % (12746)------------------------------ 2.32/0.64 % (12746)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.32/0.64 % (12746)Termination reason: Unknown 2.32/0.64 % (12746)Termination phase: shuffling 2.32/0.64 2.32/0.64 % (12746)Memory used [KB]: 1535 2.32/0.64 % (12746)Time elapsed: 0.004 s 2.32/0.64 % (12746)Instructions burned: 6 (million) 2.32/0.64 % (12746)------------------------------ 2.32/0.64 % (12746)------------------------------ 2.32/0.64 % (12747)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi) 2.32/0.64 % (12748)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi) 2.32/0.65 % (12749)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on theBenchmark for (2996ds/199Mi) 2.32/0.70 % (12744)Instruction limit reached! 2.32/0.70 % (12744)------------------------------ 2.32/0.70 % (12744)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.32/0.70 % (12744)Termination reason: Unknown 2.32/0.70 % (12744)Termination phase: Saturation 2.32/0.70 2.32/0.70 % (12744)Memory used [KB]: 7291 2.32/0.70 % (12744)Time elapsed: 0.096 s 2.32/0.70 % (12744)Instructions burned: 241 (million) 2.32/0.70 % (12744)------------------------------ 2.32/0.70 % (12744)------------------------------ 2.32/0.70 % (12747)Instruction limit reached! 2.32/0.70 % (12747)------------------------------ 2.32/0.70 % (12747)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.32/0.70 % (12747)Termination reason: Unknown 2.32/0.70 % (12747)Termination phase: Saturation 2.32/0.70 2.32/0.70 % (12747)Memory used [KB]: 7419 2.32/0.70 % (12747)Time elapsed: 0.064 s 2.32/0.70 % (12747)Instructions burned: 150 (million) 2.32/0.70 % (12747)------------------------------ 2.32/0.70 % (12747)------------------------------ 2.32/0.70 % (12718)First to succeed. 2.32/0.71 % (12748)Instruction limit reached! 2.32/0.71 % (12748)------------------------------ 2.32/0.71 % (12748)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.32/0.71 % (12748)Termination reason: Unknown 2.32/0.71 % (12748)Termination phase: Property scanning 2.32/0.71 2.32/0.71 % (12748)Memory used [KB]: 4093 2.32/0.71 % (12748)Time elapsed: 0.070 s 2.32/0.71 % (12748)Instructions burned: 152 (million) 2.32/0.71 % (12748)------------------------------ 2.32/0.71 % (12748)------------------------------ 2.32/0.71 % (12718)Refutation found. Thanks to Tanya! 2.32/0.71 % SZS status Theorem for theBenchmark 2.32/0.71 % SZS output start Proof for theBenchmark 2.32/0.71 thf(func_def_0, type, in: $i > $i > $o). 2.32/0.71 thf(func_def_1, type, exu: ($i > $o) > $o). 2.32/0.71 thf(func_def_6, type, setadjoin: $i > $i > $i). 2.32/0.71 thf(func_def_8, type, powerset: $i > $i). 2.32/0.71 thf(func_def_10, type, setunion: $i > $i). 2.32/0.71 thf(func_def_19, type, descr: ($i > $o) > $i). 2.32/0.71 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_26, type, prop2set: $o > $i). 2.32/0.71 thf(func_def_36, type, nonempty: $i > $o). 2.32/0.71 thf(func_def_69, type, set2prop: $i > $o). 2.32/0.71 thf(func_def_88, type, subset: $i > $i > $o). 2.32/0.71 thf(func_def_89, type, disjoint: $i > $i > $o). 2.32/0.71 thf(func_def_90, type, setsmeet: $i > $i > $o). 2.32/0.71 thf(func_def_114, type, binunion: $i > $i > $i). 2.32/0.71 thf(func_def_122, type, binintersect: $i > $i > $i). 2.32/0.71 thf(func_def_135, type, regular: $i > $o). 2.32/0.71 thf(func_def_136, type, setminus: $i > $i > $i). 2.32/0.71 thf(func_def_147, type, symdiff: $i > $i > $i). 2.32/0.71 thf(func_def_153, type, iskpair: $i > $o). 2.32/0.71 thf(func_def_158, type, kpair: $i > $i > $i). 2.32/0.71 thf(func_def_160, type, cartprod: $i > $i > $i). 2.32/0.71 thf(func_def_177, type, singleton: $i > $o). 2.32/0.71 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 2.32/0.71 thf(func_def_184, type, atmost1p: $i > $o). 2.32/0.71 thf(func_def_185, type, atleast2p: $i > $o). 2.32/0.71 thf(func_def_186, type, atmost2p: $i > $o). 2.32/0.71 thf(func_def_187, type, upairsetp: $i > $o). 2.32/0.71 thf(func_def_191, type, kfst: $i > $i). 2.32/0.71 thf(func_def_203, type, ksnd: $i > $i). 2.32/0.71 thf(func_def_213, type, breln: $i > $i > $i > $o). 2.32/0.71 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 2.32/0.71 thf(func_def_222, type, func: $i > $i > $i > $o). 2.32/0.71 thf(func_def_223, type, funcSet: $i > $i > $i). 2.32/0.71 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 2.32/0.71 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 2.32/0.71 thf(func_def_284, type, sP0: $i > $i > $o). 2.32/0.71 thf(func_def_285, type, sP1: $i > $o). 2.32/0.71 thf(func_def_286, type, sP2: $i > $i > $o). 2.32/0.71 thf(func_def_287, type, sP3: $i > $i > $o). 2.32/0.71 thf(func_def_290, type, sP6: $i > $i > $i > $i > $o). 2.32/0.71 thf(func_def_292, type, sP8: $o > $i > $i > $i > $o). 2.32/0.71 thf(func_def_295, type, sP11: $i > $i > $i > $o). 2.32/0.71 thf(func_def_298, type, sK14: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_299, type, sK15: $i > $o). 2.32/0.71 thf(func_def_308, type, sK24: $i > $i). 2.32/0.71 thf(func_def_317, type, sK33: $i > $o). 2.32/0.71 thf(func_def_319, type, sK35: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_326, type, sK42: $i > $o). 2.32/0.71 thf(func_def_329, type, sK45: $i > $i > $i). 2.32/0.71 thf(func_def_350, type, sK66: $i > $o). 2.32/0.71 thf(func_def_360, type, sK76: $i > $i > $i > $i). 2.32/0.71 thf(func_def_361, type, sK77: $i > $i > $i > $i). 2.32/0.71 thf(func_def_365, type, sK81: $i > $i > $i). 2.32/0.71 thf(func_def_366, type, sK82: $i > $i > $i). 2.32/0.71 thf(func_def_367, type, sK83: $i > $i > $i). 2.32/0.71 thf(func_def_368, type, sK84: $i > $i > $i). 2.32/0.71 thf(func_def_369, type, sK85: $i > $i > $i). 2.32/0.71 thf(func_def_370, type, sK86: $i > $i > $i > $i). 2.32/0.71 thf(func_def_371, type, sK87: $i > $i). 2.32/0.71 thf(func_def_372, type, sK88: $i > $i). 2.32/0.71 thf(func_def_373, type, sK89: $i > $i). 2.32/0.71 thf(func_def_374, type, sK90: $i > $i). 2.32/0.71 thf(func_def_375, type, sK91: $i > $i > $i > $i). 2.32/0.71 thf(func_def_376, type, sK92: $i > $i > $i > $i). 2.32/0.71 thf(func_def_377, type, sK93: $i > $i > $i). 2.32/0.71 thf(func_def_378, type, sK94: $i > $i > $i). 2.32/0.71 thf(func_def_379, type, sK95: $i > $i > $i). 2.32/0.71 thf(func_def_381, type, sK97: $i > $i). 2.32/0.71 thf(func_def_382, type, sK98: $i > $i). 2.32/0.71 thf(func_def_383, type, sK99: $i > $i). 2.32/0.71 thf(func_def_384, type, sK100: $i > $o). 2.32/0.71 thf(func_def_385, type, sK101: ($i > $o) > $i). 2.32/0.71 thf(func_def_388, type, sK104: $i > $o). 2.32/0.71 thf(func_def_389, type, sK105: $i > $o). 2.32/0.71 thf(func_def_390, type, sK106: ($i > $o) > ($i > $o) > $i > $i > $i). 2.32/0.71 thf(func_def_391, type, sK107: ($i > $o) > ($i > $o) > $i > $i > $i). 2.32/0.71 thf(func_def_398, type, sK114: $i > $o). 2.32/0.71 thf(func_def_400, type, sK116: ($i > $o) > $i > $i > $i > $i). 2.32/0.71 thf(func_def_401, type, sK117: ($i > $o) > $i > $i > $i > $i). 2.32/0.71 thf(func_def_403, type, sK119: $i > $o). 2.32/0.71 thf(func_def_405, type, sK121: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_429, type, sK145: $i > $o). 2.32/0.71 thf(func_def_431, type, sK147: ($i > $o) > $i > $i). 2.32/0.71 thf(func_def_453, type, sK169: $i > $o). 2.32/0.71 thf(func_def_466, type, sK182: $i > $i > $o). 2.32/0.71 thf(func_def_468, type, sK184: $i > $i). 2.32/0.71 thf(func_def_469, type, sK185: $i > $i). 2.32/0.71 thf(func_def_470, type, sK186: $i > ($i > $i > $o) > $i). 2.32/0.71 thf(func_def_471, type, sK187: $i > ($i > $i > $o) > $i). 2.32/0.71 thf(func_def_472, type, sK188: $i > $i > ($i > $i > $o) > $i). 2.32/0.71 thf(func_def_475, type, sK191: $i > $i). 2.32/0.71 thf(func_def_486, type, sK202: $i > $o). 2.32/0.71 thf(func_def_487, type, sK203: $i > $i). 2.32/0.71 thf(func_def_488, type, sK204: ($i > $o) > $i). 2.32/0.71 thf(func_def_502, type, sK218: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_515, type, sK231: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_516, type, sK232: ($i > $o) > ($i > $o) > $i). 2.32/0.71 thf(func_def_517, type, sK233: ($i > $o) > ($i > $o) > $i). 2.32/0.71 thf(func_def_518, type, sK234: $i > $o). 2.32/0.71 thf(func_def_519, type, sK235: $i > $o). 2.32/0.71 thf(func_def_524, type, sK240: $i > $i > $i). 2.32/0.71 thf(func_def_541, type, sK257: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_542, type, sK258: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_543, type, sK259: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_544, type, sK260: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_545, type, sK261: $i > $o). 2.32/0.71 thf(func_def_549, type, sK265: $i > $i > $o). 2.32/0.71 thf(func_def_571, type, sK287: $i > $i > $i). 2.32/0.71 thf(func_def_576, type, sK292: $i > $i > $o). 2.32/0.71 thf(func_def_581, type, sK297: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_582, type, sK298: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_594, type, sK310: $i > $i). 2.32/0.71 thf(func_def_597, type, sK313: $i > $i > ($i > $i) > $i). 2.32/0.71 thf(func_def_606, type, sK322: $i > ($i > $i) > $i > $i). 2.32/0.71 thf(func_def_608, type, sK324: $i > $i). 2.32/0.71 thf(func_def_626, type, sK342: $i > $o). 2.32/0.71 thf(func_def_634, type, sK350: $i > $i). 2.32/0.71 thf(func_def_637, type, sK353: ($i > $o) > ($i > $o) > $i). 2.32/0.71 thf(func_def_638, type, sK354: ($i > $o) > ($i > $o) > $i). 2.32/0.71 thf(func_def_639, type, sK355: $i > $o). 2.32/0.71 thf(func_def_640, type, sK356: $i > $o). 2.32/0.71 thf(func_def_645, type, sK361: $i > $i > $o). 2.32/0.71 thf(func_def_651, type, sK367: $i > $i). 2.32/0.71 thf(func_def_673, type, sK389: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_674, type, sK390: $i > $o). 2.32/0.71 thf(func_def_677, type, sK393: $i > $o). 2.32/0.71 thf(func_def_680, type, sK396: $i > $o). 2.32/0.71 thf(func_def_682, type, sK398: $i > $o). 2.32/0.71 thf(func_def_685, type, sK401: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_706, type, sK422: ($i > $i) > $i > $i > $i). 2.32/0.71 thf(func_def_709, type, sK425: $i > $i). 2.32/0.71 thf(func_def_727, type, sK443: $i > $o). 2.32/0.71 thf(func_def_729, type, sK445: ($i > $o) > $i > $i). 2.32/0.71 thf(func_def_735, type, sK451: ($i > $o) > $i > $i). 2.32/0.71 thf(func_def_737, type, sK453: $i > $o). 2.32/0.71 thf(func_def_741, type, sK457: $i > $i > $o). 2.32/0.71 thf(func_def_754, type, sK470: ($i > $o) > $i). 2.32/0.71 thf(func_def_755, type, sK471: ($i > $o) > $i). 2.32/0.71 thf(func_def_756, type, sK472: $i > $o). 2.32/0.71 thf(func_def_761, type, sK477: $i > $i > $i). 2.32/0.71 thf(func_def_762, type, sK478: $i > $i > $i). 2.32/0.71 thf(func_def_766, type, sK482: $i > $i). 2.32/0.71 thf(func_def_768, type, sK484: $i > $i). 2.32/0.71 thf(func_def_770, type, sK486: $i > $o). 2.32/0.71 thf(func_def_779, type, sK495: $i > $i). 2.32/0.71 thf(func_def_781, type, sK497: $i > ($i > $i) > $i > $i). 2.32/0.71 thf(func_def_793, type, sK509: $i > $i > $o). 2.32/0.71 thf(func_def_817, type, sK533: $o > $i > $i > $i). 2.32/0.71 thf(func_def_819, type, sK535: $i > $o). 2.32/0.71 thf(func_def_823, type, sK539: $i > $i). 2.32/0.71 thf(func_def_824, type, sK540: ($i > $i) > $i > $i > $i). 2.32/0.71 thf(func_def_834, type, sK550: $i > $i). 2.32/0.71 thf(func_def_835, type, sK551: $i > $o). 2.32/0.71 thf(func_def_836, type, sK552: $i > $o). 2.32/0.71 thf(func_def_839, type, sK555: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_840, type, sK556: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_878, type, sK594: $i > $o). 2.32/0.71 thf(func_def_889, type, sK605: ($i > $o) > $i). 2.32/0.71 thf(func_def_890, type, sK606: $i > $o). 2.32/0.71 thf(func_def_891, type, sK607: $i > $i). 2.32/0.71 thf(func_def_894, type, sK610: $i > $i > $i > $i > $i). 2.32/0.71 thf(func_def_906, type, sK622: $i > $i > $i). 2.32/0.71 thf(func_def_909, type, sK625: $i > $i > $i). 2.32/0.71 thf(func_def_914, type, sK630: $i > $o). 2.32/0.71 thf(func_def_920, type, sK636: $i > $i > $i). 2.32/0.71 thf(func_def_927, type, sK643: $i > $o). 2.32/0.71 thf(func_def_929, type, sK645: $i > ($i > $o) > $i). 2.32/0.71 thf(func_def_936, type, sK652: $i > $o). 2.32/0.71 thf(func_def_937, type, sK653: $i > $i > $i). 2.32/0.71 thf(func_def_941, type, sK657: $i > $o). 2.32/0.71 thf(func_def_943, type, sK659: ($i > $o) > $i > $i). 2.32/0.71 thf(func_def_944, type, sK660: ($i > $o) > $i > $i). 2.32/0.71 thf(func_def_949, type, sK665: $i > $i > $o). 2.32/0.71 thf(func_def_955, type, sK671: $i > $i). 2.32/0.71 thf(func_def_958, type, sK674: $i > $i > ($i > $i) > $i). 2.32/0.71 thf(func_def_961, type, sK677: $i > $i > $i). 2.32/0.71 thf(func_def_979, type, sK695: $i > $o). 2.32/0.71 thf(func_def_981, type, sK697: ($i > $o) > $i > $i > $i > $i). 2.32/0.71 thf(func_def_982, type, sK698: ($i > $o) > $i > $i > $i > $i). 2.32/0.71 thf(func_def_992, type, sK708: $i > $i > $o). 2.32/0.71 thf(func_def_996, type, sK712: $i > $i > $i > $i). 2.32/0.71 thf(func_def_997, type, sK713: $i > $i > $i > $i). 2.32/0.71 thf(func_def_1002, type, sK718: $i > $o). 2.32/0.71 thf(func_def_1004, type, sK720: $i > ($i > $o) > $i > $i). 2.32/0.71 thf(func_def_1017, type, ph733: !>[X0: $tType]:(X0)). 2.32/0.71 thf(f5013,plain,( 2.32/0.71 $false), 2.32/0.71 inference(subsumption_resolution,[],[f5012,f2779])). 2.32/0.71 thf(f2779,plain,( 2.32/0.71 (subsetI1 = $true)), 2.32/0.71 inference(cnf_transformation,[],[f1582])). 2.32/0.71 thf(f1582,plain,( 2.32/0.71 (omegaIndAx = $true) & (notdallE = $true) & (powersetI1 = $true) & (descrp = $true) & (eta2 = $true) & (inPowerset = $true) & (funcImageSingleton = $true) & (nonemptyImpWitness = $true) & (powersetE1 = $true) & (uniqinunit = $true) & (subsetRefl = $true) & (eqinunit = $true) & (powersetsubset = $true) & (setminusSubset2 = $true) & (binunionIL = $true) & (kfstpairEq = $true) & (funcinfuncset = $true) & (lamProp = $true) & (setunionE2 = $true) & (ifSingleton = $true) & (nonemptyI1 = $true) & (setadjoinSub2 = $true) & (exuE2 = $true) & (emptysetsubset = $true) & (exuE1 = $true) & (upairset2IR = $true) & (descr__Cong = $true) & (cartprodpairin = $true) & (funcext = $true) & (setminusERneg = $true) & (setukpairinjL2 = $true) & (emptyinunitempty = $true) & (setukpairinjR12 = $true) & (binintersectSubset3 = $true) & (disjointsetsI1 = $true) & (iffalse = $true) & (noeltsimpempty = $true) & (binunionT_lem = $true) & (infuncsetfunc = $true) & (upairsetIR = $true) & (binintersectSubset2 = $true) & (singletoninpowunion = $true) & (binintersectRsub = $true) & (notequalI2 = $true) & (upairinpowunion = $true) & (binintersectER = $true) & (iftrueProp1 = $true) & (eqimpsubset1 = $true) & (kpairp = $true) & (nonemptyI = $true) & (omegaSAx = $true) & (cartprodsndin = $true) & (setminusER = $true) & (notinemptyset = $true) & (setunionsingleton = $true) & (notinsingleton = $true) & (quantDeMorgan2 = $true) & (emptyset__Cong = $true) & (binintersectLsub = $true) & (singletonsswitch = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (cartprodmempair = $true) & (cartprodfstin = $true) & (singletoninpowerset = $true) & (binintersectT_lem = $true) & (exuE3e = $true) & (funcextLem = $true) & (ex1I2 = $true) & (subsetI1 = $true) & (exuI2 = $true) & (powersetE = $true) & (complementT_lem = $true) & (beta2 = $true) & (prop2setI = $true) & (setukpairinjR2 = $true) & (eqimpsubset2 = $true) & (binunionEcases = $true) & (emptyInPowerset = $true) & (setminusILneg = $true) & (kpairsurjEq = $true) & (powerset__Cong = $true) & (binintersectI = $true) & (iftrueorfalse = $true) & (quantDeMorgan1 = $true) & (setminusIRneg = $true) & (ksndpairEq = $true) & (setbeta = $true) & (ifp = $true) & (setukpairinjL = $true) & (iftrue = $true) & (ubforcartprodlem2 = $true) & (notdexE = $true) & (setadjoinSub = $true) & (powersetT_lem = $true) & (funcGraphProp1 = $true) & (emptysetimpfalse = $true) & (subsetemptysetimpeq = $true) & (subPowSU = $true) & (setminusT_lem = $true) & (bs114d = $true) & (setadjoinE = $true) & (cartprodsndpairEq = $true) & (funcext2 = $true) & (dpsetconstrERa = $true) & (setext = $true) & (symdiffE = $true) & (setadjoinAx = $true) & (emptyI = $true) & (theprop = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (setextT = $true) & (symdiffIneg2 = $true) & (($true = (in @ sK374 @ (powerset @ sK373))) & (($true != (subset @ sK374 @ sK375)) & ! [X3] : (($true = (in @ X3 @ sK375)) | ((in @ X3 @ sK373) != $true) | ($true != (in @ X3 @ sK374))) & ($true = (in @ sK375 @ (powerset @ sK373))))) & (setadjoin__Cong = $true) & (binintersectEL = $true) & (prop2setE = $true) & (setminusSubset1 = $true) & (setminusEL = $true) & (symdiffIneg1 = $true) & (omega__Cong = $true) & (setunionI = $true) & (setukpairIL = $true) & (ubforcartprodlem3 = $true) & (binunionE = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset1 = $true) & (sepSubset = $true) & (dpsetconstrEL2 = $true) & (app = $true) & (emptyE1 = $true) & (kpairiskpair = $true) & (funcGraphProp4 = $true) & (iftrueProp2 = $true) & (exuI1 = $true) & (subsetE = $true) & (in__Cong = $true) & (emptyinPowerset = $true) & (notequalI1 = $true) & (theeq = $true) & (singletonsuniq = $true) & (setextsub = $true) & (cartprodmempair1 = $true) & (notsubsetI = $true) & (exuEu = $true) & (binunionIR = $true) & (setminusLsub = $true) & (subsetE2 = $true) & (dpsetconstrER = $true) & (eqbreln = $true) & (brelnall2 = $true) & (ex1I = $true) & (setminusELneg = $true) & (setadjoinIR = $true) & (exuI3 = $true) & (quantDeMorgan3 = $true) & (ex1E1 = $true) & (setunionAx = $true) & (setadjoinOr = $true) & (beta1 = $true) & (setunionE = $true) & (brelnall1 = $true) & (subsetTrans = $true) & (exuE3u = $true) & (ap2apEq2 = $true) & (setukpairIR = $true) & (upairsubunion = $true) & (iffalseProp2 = $true) & (setadjoinIL = $true) & (powersetI = $true) & (setminusI = $true) & (subsetI2 = $true) & (omega0Ax = $true) & (dpsetconstrI = $true) & (sepInPowerset = $true) & (dsetconstr__Cong = $true) & (emptysetE = $true) & (upairsetE = $true) & (binunionRsub = $true) & (setextAx = $true) & (setOfPairsIsBReln = $true) & (nonemptyE1 = $true) & (lam2lamEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (singletonsubset = $true) & (setunionsingleton2 = $true) & (dsetconstrER = $true) & (ap2apEq1 = $true) & (lamp = $true) & (upairequniteq = $true) & (binintersectSubset4 = $true) & (upairset2E = $true) & (iffalseProp1 = $true) & (foundationAx = $true) & (ksndsingleton = $true) & (ex1E2 = $true) & (prop2set2propI = $true) & (powersetAx = $true) & (ubforcartprodlem1 = $true) & (setunionsingleton1 = $true) & (dpsetconstrSub = $true) & (upairsetIL = $true) & (exu__Cong = $true) & (emptysetAx = $true) & (vacuousDall = $true) & (symdiffI1 = $true) & (subset2powerset = $true) & (cartprodmempaircEq = $true) & (replAx = $true) & (binunionLsub = $true) & (dpsetconstrEL1 = $true) & (singletonprop = $true) & (binintersectSubset5 = $true) & (quantDeMorgan4 = $true) & (lam2p = $true) & (setukpairinjR11 = $true) & (funcGraphProp3 = $true) & (symdiffI2 = $true) & (setunion__Cong = $true) & (setukpairinjR = $true) & (inCongP = $true) & (apProp = $true) & (wellorderingAx = $true) & (secondinupair = $true) & (setukpairinjL1 = $true) & (dsetconstrI = $true) & (ap2p = $true) & (cartprodfstpairEq = $true) & (eta1 = $true) & (setukpairinjR1 = $true) & (kfstsingleton = $true)), 2.32/0.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK373,sK374,sK375])],[f991,f1581,f1580])). 2.32/0.71 thf(f1580,plain,( 2.32/0.71 ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (($true != (subset @ X1 @ X2)) & ! [X3] : (($true = (in @ X3 @ X2)) | ($true != (in @ X3 @ X0)) | ($true != (in @ X3 @ X1))) & ($true = (in @ X2 @ (powerset @ X0))))) => (($true = (in @ sK374 @ (powerset @ sK373))) & ? [X2] : (($true != (subset @ sK374 @ X2)) & ! [X3] : (($true = (in @ X3 @ X2)) | ((in @ X3 @ sK373) != $true) | ($true != (in @ X3 @ sK374))) & ($true = (in @ X2 @ (powerset @ sK373)))))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f1581,plain,( 2.32/0.71 ? [X2] : (($true != (subset @ sK374 @ X2)) & ! [X3] : (($true = (in @ X3 @ X2)) | ((in @ X3 @ sK373) != $true) | ($true != (in @ X3 @ sK374))) & ($true = (in @ X2 @ (powerset @ sK373)))) => (($true != (subset @ sK374 @ sK375)) & ! [X3] : (($true = (in @ X3 @ sK375)) | ((in @ X3 @ sK373) != $true) | ($true != (in @ X3 @ sK374))) & ($true = (in @ sK375 @ (powerset @ sK373))))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f991,plain,( 2.32/0.71 (omegaIndAx = $true) & (notdallE = $true) & (powersetI1 = $true) & (descrp = $true) & (eta2 = $true) & (inPowerset = $true) & (funcImageSingleton = $true) & (nonemptyImpWitness = $true) & (powersetE1 = $true) & (uniqinunit = $true) & (subsetRefl = $true) & (eqinunit = $true) & (powersetsubset = $true) & (setminusSubset2 = $true) & (binunionIL = $true) & (kfstpairEq = $true) & (funcinfuncset = $true) & (lamProp = $true) & (setunionE2 = $true) & (ifSingleton = $true) & (nonemptyI1 = $true) & (setadjoinSub2 = $true) & (exuE2 = $true) & (emptysetsubset = $true) & (exuE1 = $true) & (upairset2IR = $true) & (descr__Cong = $true) & (cartprodpairin = $true) & (funcext = $true) & (setminusERneg = $true) & (setukpairinjL2 = $true) & (emptyinunitempty = $true) & (setukpairinjR12 = $true) & (binintersectSubset3 = $true) & (disjointsetsI1 = $true) & (iffalse = $true) & (noeltsimpempty = $true) & (binunionT_lem = $true) & (infuncsetfunc = $true) & (upairsetIR = $true) & (binintersectSubset2 = $true) & (singletoninpowunion = $true) & (binintersectRsub = $true) & (notequalI2 = $true) & (upairinpowunion = $true) & (binintersectER = $true) & (iftrueProp1 = $true) & (eqimpsubset1 = $true) & (kpairp = $true) & (nonemptyI = $true) & (omegaSAx = $true) & (cartprodsndin = $true) & (setminusER = $true) & (notinemptyset = $true) & (setunionsingleton = $true) & (notinsingleton = $true) & (quantDeMorgan2 = $true) & (emptyset__Cong = $true) & (binintersectLsub = $true) & (singletonsswitch = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (cartprodmempair = $true) & (cartprodfstin = $true) & (singletoninpowerset = $true) & (binintersectT_lem = $true) & (exuE3e = $true) & (funcextLem = $true) & (ex1I2 = $true) & (subsetI1 = $true) & (exuI2 = $true) & (powersetE = $true) & (complementT_lem = $true) & (beta2 = $true) & (prop2setI = $true) & (setukpairinjR2 = $true) & (eqimpsubset2 = $true) & (binunionEcases = $true) & (emptyInPowerset = $true) & (setminusILneg = $true) & (kpairsurjEq = $true) & (powerset__Cong = $true) & (binintersectI = $true) & (iftrueorfalse = $true) & (quantDeMorgan1 = $true) & (setminusIRneg = $true) & (ksndpairEq = $true) & (setbeta = $true) & (ifp = $true) & (setukpairinjL = $true) & (iftrue = $true) & (ubforcartprodlem2 = $true) & (notdexE = $true) & (setadjoinSub = $true) & (powersetT_lem = $true) & (funcGraphProp1 = $true) & (emptysetimpfalse = $true) & (subsetemptysetimpeq = $true) & (subPowSU = $true) & (setminusT_lem = $true) & (bs114d = $true) & (setadjoinE = $true) & (cartprodsndpairEq = $true) & (funcext2 = $true) & (dpsetconstrERa = $true) & (setext = $true) & (symdiffE = $true) & (setadjoinAx = $true) & (emptyI = $true) & (theprop = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (setextT = $true) & (symdiffIneg2 = $true) & ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (($true != (subset @ X1 @ X2)) & ! [X3] : (($true = (in @ X3 @ X2)) | ($true != (in @ X3 @ X0)) | ($true != (in @ X3 @ X1))) & ($true = (in @ X2 @ (powerset @ X0))))) & (setadjoin__Cong = $true) & (binintersectEL = $true) & (prop2setE = $true) & (setminusSubset1 = $true) & (setminusEL = $true) & (symdiffIneg1 = $true) & (omega__Cong = $true) & (setunionI = $true) & (setukpairIL = $true) & (ubforcartprodlem3 = $true) & (binunionE = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset1 = $true) & (sepSubset = $true) & (dpsetconstrEL2 = $true) & (app = $true) & (emptyE1 = $true) & (kpairiskpair = $true) & (funcGraphProp4 = $true) & (iftrueProp2 = $true) & (exuI1 = $true) & (subsetE = $true) & (in__Cong = $true) & (emptyinPowerset = $true) & (notequalI1 = $true) & (theeq = $true) & (singletonsuniq = $true) & (setextsub = $true) & (cartprodmempair1 = $true) & (notsubsetI = $true) & (exuEu = $true) & (binunionIR = $true) & (setminusLsub = $true) & (subsetE2 = $true) & (dpsetconstrER = $true) & (eqbreln = $true) & (brelnall2 = $true) & (ex1I = $true) & (setminusELneg = $true) & (setadjoinIR = $true) & (exuI3 = $true) & (quantDeMorgan3 = $true) & (ex1E1 = $true) & (setunionAx = $true) & (setadjoinOr = $true) & (beta1 = $true) & (setunionE = $true) & (brelnall1 = $true) & (subsetTrans = $true) & (exuE3u = $true) & (ap2apEq2 = $true) & (setukpairIR = $true) & (upairsubunion = $true) & (iffalseProp2 = $true) & (setadjoinIL = $true) & (powersetI = $true) & (setminusI = $true) & (subsetI2 = $true) & (omega0Ax = $true) & (dpsetconstrI = $true) & (sepInPowerset = $true) & (dsetconstr__Cong = $true) & (emptysetE = $true) & (upairsetE = $true) & (binunionRsub = $true) & (setextAx = $true) & (setOfPairsIsBReln = $true) & (nonemptyE1 = $true) & (lam2lamEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (singletonsubset = $true) & (setunionsingleton2 = $true) & (dsetconstrER = $true) & (ap2apEq1 = $true) & (lamp = $true) & (upairequniteq = $true) & (binintersectSubset4 = $true) & (upairset2E = $true) & (iffalseProp1 = $true) & (foundationAx = $true) & (ksndsingleton = $true) & (ex1E2 = $true) & (prop2set2propI = $true) & (powersetAx = $true) & (ubforcartprodlem1 = $true) & (setunionsingleton1 = $true) & (dpsetconstrSub = $true) & (upairsetIL = $true) & (exu__Cong = $true) & (emptysetAx = $true) & (vacuousDall = $true) & (symdiffI1 = $true) & (subset2powerset = $true) & (cartprodmempaircEq = $true) & (replAx = $true) & (binunionLsub = $true) & (dpsetconstrEL1 = $true) & (singletonprop = $true) & (binintersectSubset5 = $true) & (quantDeMorgan4 = $true) & (lam2p = $true) & (setukpairinjR11 = $true) & (funcGraphProp3 = $true) & (symdiffI2 = $true) & (setunion__Cong = $true) & (setukpairinjR = $true) & (inCongP = $true) & (apProp = $true) & (wellorderingAx = $true) & (secondinupair = $true) & (setukpairinjL1 = $true) & (dsetconstrI = $true) & (ap2p = $true) & (cartprodfstpairEq = $true) & (eta1 = $true) & (setukpairinjR1 = $true) & (kfstsingleton = $true)), 2.32/0.71 inference(flattening,[],[f990])). 2.32/0.71 thf(f990,plain,( 2.32/0.71 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((($true != (subset @ X1 @ X2)) & ! [X3] : ((($true = (in @ X3 @ X2)) | ($true != (in @ X3 @ X1))) | ($true != (in @ X3 @ X0)))) & ($true = (in @ X2 @ (powerset @ X0)))) & ($true = (in @ X1 @ (powerset @ X0)))) & (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)), 2.32/0.71 inference(ennf_transformation,[],[f241])). 2.32/0.71 thf(f241,plain,( 2.32/0.71 ~((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 = $true) => ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X0))) => (! [X3] : (($true = (in @ X3 @ X0)) => (($true = (in @ X3 @ X1)) => ($true = (in @ X3 @ X2)))) => ($true = (subset @ X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.32/0.71 inference(fool_elimination,[],[f240])). 2.32/0.71 thf(f240,plain,( 2.32/0.71 ~(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 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => (! [X3] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (subset @ X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.32/0.71 inference(rectify,[],[f238])). 2.32/0.71 thf(f238,negated_conjecture,( 2.32/0.71 ~(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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ X16))) => (subset @ X11 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.32/0.71 inference(negated_conjecture,[],[f237])). 2.32/0.71 thf(f237,conjecture,( 2.32/0.71 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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ X16))) => (subset @ X11 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.32/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTI)). 2.32/0.71 thf(f5012,plain,( 2.32/0.71 (subsetI1 != $true)), 2.32/0.71 inference(subsumption_resolution,[],[f5009,f2733])). 2.32/0.71 thf(f2733,plain,( 2.32/0.71 ($true != (subset @ sK374 @ sK375))), 2.32/0.71 inference(cnf_transformation,[],[f1582])). 2.32/0.71 thf(f5009,plain,( 2.32/0.71 ($true = (subset @ sK374 @ sK375)) | (subsetI1 != $true)), 2.32/0.71 inference(trivial_inequality_removal,[],[f5008])). 2.32/0.71 thf(f5008,plain,( 2.32/0.71 (subsetI1 != $true) | ($true = (subset @ sK374 @ sK375)) | ($true != $true)), 2.32/0.71 inference(duplicate_literal_removal,[],[f5000])). 2.32/0.71 thf(f5000,plain,( 2.32/0.71 ($true != $true) | ($true = (subset @ sK374 @ sK375)) | (subsetI1 != $true) | ($true = (subset @ sK374 @ sK375))), 2.32/0.71 inference(superposition,[],[f3733,f3166])). 2.32/0.71 thf(f3166,plain,( 2.32/0.71 ( ! [X0 : $i,X1 : $i] : (((in @ (sK622 @ X1 @ X0) @ X1) = $true) | (subsetI1 != $true) | ($true = (subset @ X1 @ X0))) )), 2.32/0.71 inference(cnf_transformation,[],[f1971])). 2.32/0.71 thf(f1971,plain,( 2.32/0.71 (! [X0,X1] : (($true = (subset @ X1 @ X0)) | (($true != (in @ (sK622 @ X1 @ X0) @ X0)) & ((in @ (sK622 @ X1 @ X0) @ X1) = $true))) | (subsetI1 != $true)) & ((subsetI1 = $true) | (((subset @ sK624 @ sK623) != $true) & ! [X5] : (($true = (in @ X5 @ sK623)) | ($true != (in @ X5 @ sK624)))))), 2.32/0.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK622,sK623,sK624])],[f1968,f1970,f1969])). 2.32/0.71 thf(f1969,plain,( 2.32/0.71 ! [X0,X1] : (? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true)) => (($true != (in @ (sK622 @ X1 @ X0) @ X0)) & ((in @ (sK622 @ X1 @ X0) @ X1) = $true)))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f1970,plain,( 2.32/0.71 ? [X3,X4] : (((subset @ X4 @ X3) != $true) & ! [X5] : (($true = (in @ X5 @ X3)) | ((in @ X5 @ X4) != $true))) => (((subset @ sK624 @ sK623) != $true) & ! [X5] : (($true = (in @ X5 @ sK623)) | ($true != (in @ X5 @ sK624))))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f1968,plain,( 2.32/0.71 (! [X0,X1] : (($true = (subset @ X1 @ X0)) | ? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true))) | (subsetI1 != $true)) & ((subsetI1 = $true) | ? [X3,X4] : (((subset @ X4 @ X3) != $true) & ! [X5] : (($true = (in @ X5 @ X3)) | ((in @ X5 @ X4) != $true))))), 2.32/0.71 inference(rectify,[],[f1967])). 2.32/0.71 thf(f1967,plain,( 2.32/0.71 (! [X0,X1] : (($true = (subset @ X1 @ X0)) | ? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true))) | (subsetI1 != $true)) & ((subsetI1 = $true) | ? [X0,X1] : (($true != (subset @ X1 @ X0)) & ! [X2] : (($true = (in @ X2 @ X0)) | ((in @ X2 @ X1) != $true))))), 2.32/0.71 inference(nnf_transformation,[],[f824])). 2.32/0.71 thf(f824,plain,( 2.32/0.71 ! [X0,X1] : (($true = (subset @ X1 @ X0)) | ? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true))) <=> (subsetI1 = $true)), 2.32/0.71 inference(ennf_transformation,[],[f705])). 2.32/0.71 thf(f705,plain,( 2.32/0.71 (subsetI1 = $true) <=> ! [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) => ($true = (in @ X2 @ X0))) => ($true = (subset @ X1 @ X0)))), 2.32/0.71 inference(fool_elimination,[],[f704])). 2.32/0.71 thf(f704,plain,( 2.32/0.71 (subsetI1 = ! [X0,X1] : (! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)))), 2.32/0.71 inference(rectify,[],[f78])). 2.32/0.71 thf(f78,axiom,( 2.32/0.71 (subsetI1 = ! [X4,X3] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)))), 2.32/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1)). 2.32/0.71 thf(f3733,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true != (in @ (sK622 @ X0 @ sK375) @ sK374)) | ($true = (subset @ X0 @ sK375))) )), 2.32/0.71 inference(subsumption_resolution,[],[f3732,f3566])). 2.32/0.71 thf(f3566,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true = (in @ X0 @ sK373)) | ($true != (in @ X0 @ sK374))) )), 2.32/0.71 inference(subsumption_resolution,[],[f3565,f2646])). 2.32/0.71 thf(f2646,plain,( 2.32/0.71 (powersetAx = $true)), 2.32/0.71 inference(cnf_transformation,[],[f1582])). 2.32/0.71 thf(f3565,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true = (in @ X0 @ sK373)) | ($true != (in @ X0 @ sK374)) | (powersetAx != $true)) )), 2.32/0.71 inference(trivial_inequality_removal,[],[f3556])). 2.32/0.71 thf(f3556,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true != $true) | ($true != (in @ X0 @ sK374)) | (powersetAx != $true) | ($true = (in @ X0 @ sK373))) )), 2.32/0.71 inference(superposition,[],[f2451,f2734])). 2.32/0.71 thf(f2734,plain,( 2.32/0.71 ($true = (in @ sK374 @ (powerset @ sK373)))), 2.32/0.71 inference(cnf_transformation,[],[f1582])). 2.32/0.71 thf(f2451,plain,( 2.32/0.71 ( ! [X3 : $i,X0 : $i,X1 : $i] : (($true != (in @ X1 @ (powerset @ X0))) | ($true != (in @ X3 @ X1)) | ($true = (in @ X3 @ X0)) | (powersetAx != $true)) )), 2.32/0.71 inference(cnf_transformation,[],[f1392])). 2.32/0.71 thf(f1392,plain,( 2.32/0.71 (! [X0,X1] : ((($true = (in @ X1 @ (powerset @ X0))) | (((in @ (sK240 @ X1 @ X0) @ X0) != $true) & ($true = (in @ (sK240 @ X1 @ X0) @ X1)))) & (! [X3] : (($true = (in @ X3 @ X0)) | ($true != (in @ X3 @ X1))) | ($true != (in @ X1 @ (powerset @ X0))))) | (powersetAx != $true)) & ((powersetAx = $true) | (((($true != (in @ sK243 @ sK241)) & ($true = (in @ sK243 @ sK242))) | ($true != (in @ sK242 @ (powerset @ sK241)))) & (! [X7] : (($true = (in @ X7 @ sK241)) | ($true != (in @ X7 @ sK242))) | ($true = (in @ sK242 @ (powerset @ sK241))))))), 2.32/0.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK240,sK241,sK242,sK243])],[f1388,f1391,f1390,f1389])). 2.32/0.71 thf(f1389,plain,( 2.32/0.71 ! [X0,X1] : (? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true)) => (((in @ (sK240 @ X1 @ X0) @ X0) != $true) & ($true = (in @ (sK240 @ X1 @ X0) @ X1))))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f1390,plain,( 2.32/0.71 ? [X4,X5] : ((? [X6] : (((in @ X6 @ X4) != $true) & ((in @ X6 @ X5) = $true)) | ($true != (in @ X5 @ (powerset @ X4)))) & (! [X7] : (((in @ X7 @ X4) = $true) | ($true != (in @ X7 @ X5))) | ($true = (in @ X5 @ (powerset @ X4))))) => ((? [X6] : (($true != (in @ X6 @ sK241)) & ((in @ X6 @ sK242) = $true)) | ($true != (in @ sK242 @ (powerset @ sK241)))) & (! [X7] : (($true = (in @ X7 @ sK241)) | ($true != (in @ X7 @ sK242))) | ($true = (in @ sK242 @ (powerset @ sK241)))))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f1391,plain,( 2.32/0.71 ? [X6] : (($true != (in @ X6 @ sK241)) & ((in @ X6 @ sK242) = $true)) => (($true != (in @ sK243 @ sK241)) & ($true = (in @ sK243 @ sK242)))), 2.32/0.71 introduced(choice_axiom,[])). 2.32/0.71 thf(f1388,plain,( 2.32/0.71 (! [X0,X1] : ((($true = (in @ X1 @ (powerset @ X0))) | ? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true))) & (! [X3] : (($true = (in @ X3 @ X0)) | ($true != (in @ X3 @ X1))) | ($true != (in @ X1 @ (powerset @ X0))))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X4,X5] : ((? [X6] : (((in @ X6 @ X4) != $true) & ((in @ X6 @ X5) = $true)) | ($true != (in @ X5 @ (powerset @ X4)))) & (! [X7] : (((in @ X7 @ X4) = $true) | ($true != (in @ X7 @ X5))) | ($true = (in @ X5 @ (powerset @ X4))))))), 2.32/0.71 inference(rectify,[],[f1387])). 2.32/0.71 thf(f1387,plain,( 2.32/0.71 (! [X0,X1] : ((($true = (in @ X1 @ (powerset @ X0))) | ? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true))) & (! [X2] : (($true = (in @ X2 @ X0)) | ((in @ X2 @ X1) != $true)) | ($true != (in @ X1 @ (powerset @ X0))))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X0,X1] : ((? [X2] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ X1) = $true)) | ($true != (in @ X1 @ (powerset @ X0)))) & (! [X2] : (($true = (in @ X2 @ X0)) | ((in @ X2 @ X1) != $true)) | ($true = (in @ X1 @ (powerset @ X0))))))), 2.32/0.71 inference(nnf_transformation,[],[f977])). 2.32/0.71 thf(f977,plain,( 2.32/0.71 ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) <=> ! [X2] : (($true = (in @ X2 @ X0)) | ((in @ X2 @ X1) != $true))) <=> (powersetAx = $true)), 2.32/0.71 inference(ennf_transformation,[],[f479])). 2.32/0.71 thf(f479,plain,( 2.32/0.71 (powersetAx = $true) <=> ! [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) => ($true = (in @ X2 @ X0))) <=> ($true = (in @ X1 @ (powerset @ X0))))), 2.32/0.71 inference(fool_elimination,[],[f478])). 2.32/0.71 thf(f478,plain,( 2.32/0.71 (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) <=> ! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0))) = powersetAx)), 2.32/0.71 inference(rectify,[],[f5])). 2.32/0.71 thf(f5,axiom,( 2.32/0.71 (! [X3,X4] : ((in @ X4 @ (powerset @ X3)) <=> ! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3))) = powersetAx)), 2.32/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetAx)). 2.32/0.71 thf(f3732,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true = (subset @ X0 @ sK375)) | ($true != (in @ (sK622 @ X0 @ sK375) @ sK373)) | ($true != (in @ (sK622 @ X0 @ sK375) @ sK374))) )), 2.32/0.71 inference(subsumption_resolution,[],[f3708,f2779])). 2.32/0.71 thf(f3708,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true = (subset @ X0 @ sK375)) | ($true != (in @ (sK622 @ X0 @ sK375) @ sK374)) | ($true != (in @ (sK622 @ X0 @ sK375) @ sK373)) | (subsetI1 != $true)) )), 2.32/0.71 inference(trivial_inequality_removal,[],[f3693])). 2.32/0.71 thf(f3693,plain,( 2.32/0.71 ( ! [X0 : $i] : (($true = (subset @ X0 @ sK375)) | ($true != $true) | ($true != (in @ (sK622 @ X0 @ sK375) @ sK374)) | ($true != (in @ (sK622 @ X0 @ sK375) @ sK373)) | (subsetI1 != $true)) )), 2.32/0.71 inference(superposition,[],[f3167,f2732])). 2.32/0.71 thf(f2732,plain,( 2.32/0.71 ( ! [X3 : $i] : (($true = (in @ X3 @ sK375)) | ((in @ X3 @ sK373) != $true) | ($true != (in @ X3 @ sK374))) )), 2.32/0.71 inference(cnf_transformation,[],[f1582])). 2.32/0.71 thf(f3167,plain,( 2.32/0.71 ( ! [X0 : $i,X1 : $i] : (($true != (in @ (sK622 @ X1 @ X0) @ X0)) | (subsetI1 != $true) | ($true = (subset @ X1 @ X0))) )), 2.32/0.71 inference(cnf_transformation,[],[f1971])). 2.32/0.71 % SZS output end Proof for theBenchmark 2.32/0.71 % (12718)------------------------------ 2.32/0.71 % (12718)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.32/0.71 % (12718)Termination reason: Refutation 2.32/0.71 2.32/0.71 % (12718)Memory used [KB]: 10746 2.32/0.71 % (12718)Time elapsed: 0.351 s 2.32/0.71 % (12718)Instructions burned: 687 (million) 2.32/0.71 % (12718)------------------------------ 2.32/0.71 % (12718)------------------------------ 2.32/0.71 % (12709)Success in time 0.384 s 2.32/0.71 % Vampire---4.8 exiting 2.32/0.71 EOF