0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_vampire %s %d 0.10/0.31 % Computer : n032.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Thu Jul 2 08:39:34 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.36 % (2533)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.16/0.36 % (2532)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.16/0.37 % (2531)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.16/0.37 % (2536)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.16/0.38 % (2538)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.16/0.38 % (2544)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.16/0.38 % (2530)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.16/0.38 % (2546)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 0.16/0.38 % (2534)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.16/0.39 % (2552)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.16/0.39 % (2547)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark 0.16/0.39 % (2545)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 0.16/0.39 % (2541)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 0.16/0.39 % (2540)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark 0.16/0.40 % (2551)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.16/0.40 % (2559)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark 0.16/0.40 % (2537)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.16/0.40 % (2553)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.16/0.40 % (2557)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.16/0.40 % (2542)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.16/0.40 % (2555)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.16/0.40 % (2539)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.16/0.40 % (2543)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.16/0.41 % (2550)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.16/0.41 % (2549)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.16/0.41 % (2548)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.16/0.41 % (2554)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark 0.16/0.41 % (2556)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.16/0.42 % (2535)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.16/0.43 % (2558)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 9.49/1.57 % (2544)Time limit reached! 9.49/1.57 % (2544)------------------------------ 9.49/1.57 % (2544)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.49/1.57 % (2544)Termination reason: Time limit 9.49/1.57 % (2544)Termination phase: Property scanning 9.49/1.57 9.49/1.57 % (2544)Memory used [KB]: 3454 9.49/1.57 % (2544)Time elapsed: 0.400 s 9.49/1.57 % (2544)------------------------------ 9.49/1.57 % (2544)------------------------------ 9.89/1.64 % (2571)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 11.81/1.85 % (2555)Time limit reached! 11.81/1.85 % (2555)------------------------------ 11.81/1.85 % (2555)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.81/1.85 % (2555)Termination reason: Time limit 11.81/1.85 % (2555)Termination phase: Saturation 11.81/1.85 11.81/1.85 % (2555)Memory used [KB]: 12153 11.81/1.85 % (2555)Time elapsed: 1.500 s 11.81/1.85 % (2555)------------------------------ 11.81/1.85 % (2555)------------------------------ 11.81/1.89 % (2531)Time limit reached! 11.81/1.89 % (2531)------------------------------ 11.81/1.89 % (2531)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.81/1.89 % (2531)Termination reason: Time limit 11.81/1.89 % (2531)Termination phase: Property scanning 11.81/1.89 11.81/1.89 % (2531)Memory used [KB]: 3709 11.81/1.89 % (2531)Time elapsed: 0.500 s 11.81/1.89 % (2531)------------------------------ 11.81/1.89 % (2531)------------------------------ 12.42/1.92 % (2542)Time limit reached! 12.42/1.92 % (2542)------------------------------ 12.42/1.92 % (2542)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.42/1.92 % (2542)Termination reason: Time limit 12.42/1.92 % (2542)Termination phase: Property scanning 12.42/1.92 12.42/1.92 % (2542)Memory used [KB]: 3709 12.42/1.92 % (2542)Time elapsed: 0.500 s 12.42/1.92 % (2542)------------------------------ 12.42/1.92 % (2542)------------------------------ 12.42/1.93 % (2572)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 12.42/1.93 % (2530)Time limit reached! 12.42/1.93 % (2530)------------------------------ 12.42/1.93 % (2530)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.42/1.93 % (2530)Termination reason: Time limit 12.42/1.93 % (2530)Termination phase: Property scanning 12.42/1.93 12.42/1.93 % (2530)Memory used [KB]: 3709 12.42/1.93 % (2530)Time elapsed: 0.500 s 12.42/1.93 % (2530)------------------------------ 12.42/1.93 % (2530)------------------------------ 12.42/1.95 % (2573)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark 12.82/2.00 % (2574)lrs+1011_8_add=large:csup=on:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark 12.82/2.01 % (2575)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity_27 on theBenchmark 12.82/2.03 % (2536)Time limit reached! 12.82/2.03 % (2536)------------------------------ 12.82/2.03 % (2536)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.82/2.03 % (2536)Termination reason: Time limit 12.82/2.03 % (2536)Termination phase: Property scanning 12.82/2.03 12.82/2.03 % (2536)Memory used [KB]: 3709 12.82/2.03 % (2536)Time elapsed: 0.600 s 12.82/2.03 % (2536)------------------------------ 12.82/2.03 % (2536)------------------------------ 13.52/2.11 % (2576)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark 13.83/2.13 % (2539)Time limit reached! 13.83/2.13 % (2539)------------------------------ 13.83/2.13 % (2539)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.83/2.13 % (2539)Termination reason: Time limit 13.83/2.13 % (2539)Termination phase: Function definition elimination 13.83/2.13 13.83/2.13 % (2539)Memory used [KB]: 3837 13.83/2.13 % (2539)Time elapsed: 0.600 s 13.83/2.13 % (2539)------------------------------ 13.83/2.13 % (2539)------------------------------ 14.02/2.21 % (2577)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark 15.36/2.32 % (2533)Time limit reached! 15.36/2.32 % (2533)------------------------------ 15.36/2.32 % (2533)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.36/2.32 % (2533)Termination reason: Time limit 15.36/2.32 % (2533)Termination phase: Property scanning 15.36/2.32 15.36/2.32 % (2533)Memory used [KB]: 3709 15.36/2.32 % (2533)Time elapsed: 0.500 s 15.36/2.32 % (2533)------------------------------ 15.36/2.32 % (2533)------------------------------ 15.36/2.34 % (2541)Time limit reached! 15.36/2.34 % (2541)------------------------------ 15.36/2.34 % (2541)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.36/2.34 % (2541)Termination reason: Time limit 15.36/2.34 % (2541)Termination phase: Property scanning 15.36/2.34 15.36/2.34 % (2541)Memory used [KB]: 3837 15.36/2.34 % (2541)Time elapsed: 0.500 s 15.36/2.34 % (2541)------------------------------ 15.36/2.34 % (2541)------------------------------ 15.36/2.36 % (2532)Time limit reached! 15.36/2.36 % (2532)------------------------------ 15.36/2.36 % (2532)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.36/2.36 % (2532)Termination reason: Time limit 15.36/2.36 % (2532)Termination phase: Property scanning 15.36/2.36 15.36/2.36 % (2532)Memory used [KB]: 3837 15.36/2.36 % (2532)Time elapsed: 0.600 s 15.36/2.36 % (2532)------------------------------ 15.36/2.36 % (2532)------------------------------ 16.11/2.38 % (2578)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark 16.26/2.42 % (2579)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 16.36/2.44 % (2580)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 17.63/2.67 % (2549)Time limit reached! 17.63/2.67 % (2549)------------------------------ 17.63/2.67 % (2549)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.63/2.67 % (2549)Termination reason: Time limit 17.63/2.67 % (2549)Termination phase: Saturation 17.63/2.67 17.63/2.67 % (2549)Memory used [KB]: 9210 17.63/2.67 % (2549)Time elapsed: 1.100 s 17.63/2.67 % (2549)------------------------------ 17.63/2.67 % (2549)------------------------------ 18.53/2.74 % (2581)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark 22.52/3.28 % (2534)Time limit reached! 22.52/3.28 % (2534)------------------------------ 22.52/3.28 % (2534)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.52/3.28 % (2534)Termination reason: Time limit 22.52/3.28 % (2534)Termination phase: Saturation 22.52/3.28 22.52/3.28 % (2534)Memory used [KB]: 12281 22.52/3.28 % (2534)Time elapsed: 1.500 s 22.52/3.28 % (2534)------------------------------ 22.52/3.28 % (2534)------------------------------ 23.46/3.35 % (2582)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark 24.18/3.45 % (2538)Time limit reached! 24.18/3.45 % (2538)------------------------------ 24.18/3.45 % (2538)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.18/3.45 % (2538)Termination reason: Time limit 24.18/3.45 % (2538)Termination phase: Saturation 24.18/3.45 24.18/3.45 % (2538)Memory used [KB]: 7547 24.18/3.45 % (2538)Time elapsed: 3.100 s 24.18/3.45 % (2538)------------------------------ 24.18/3.45 % (2538)------------------------------ 24.18/3.48 % (2548)Time limit reached! 24.18/3.48 % (2548)------------------------------ 24.18/3.48 % (2548)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.18/3.48 % (2548)Termination reason: Time limit 24.18/3.48 % (2548)Termination phase: Saturation 24.18/3.48 24.18/3.48 % (2548)Memory used [KB]: 9338 24.18/3.48 % (2548)Time elapsed: 0.900 s 24.18/3.48 % (2548)------------------------------ 24.18/3.48 % (2548)------------------------------ 24.89/3.53 % (2583)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark 24.89/3.56 % (2584)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 24.89/3.57 % (2547)Time limit reached! 24.89/3.57 % (2547)------------------------------ 24.89/3.57 % (2547)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.89/3.58 % (2547)Termination reason: Time limit 24.89/3.58 24.89/3.58 % (2547)Memory used [KB]: 46310 24.89/3.58 % (2547)Time elapsed: 3.222 s 24.89/3.58 % (2547)------------------------------ 24.89/3.58 % (2547)------------------------------ 24.89/3.61 % (2543)Time limit reached! 24.89/3.61 % (2543)------------------------------ 24.89/3.61 % (2543)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.89/3.61 % (2543)Termination reason: Time limit 24.89/3.61 % (2543)Termination phase: Saturation 24.89/3.61 24.89/3.61 % (2543)Memory used [KB]: 9338 24.89/3.61 % (2543)Time elapsed: 1.100 s 24.89/3.61 % (2543)------------------------------ 24.89/3.61 % (2543)------------------------------ 26.07/3.64 % (2585)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark 26.18/3.69 % (2586)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 26.18/3.71 % (2545)Time limit reached! 26.18/3.71 % (2545)------------------------------ 26.18/3.71 % (2545)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.18/3.71 % (2545)Termination reason: Time limit 26.18/3.71 % (2545)Termination phase: Saturation 26.18/3.71 26.18/3.71 % (2545)Memory used [KB]: 14967 26.18/3.71 % (2545)Time elapsed: 1.0000 s 26.18/3.71 % (2545)------------------------------ 26.18/3.71 % (2545)------------------------------ 26.99/3.77 % (2552)Time limit reached! 26.99/3.77 % (2552)------------------------------ 26.99/3.77 % (2552)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.99/3.77 % (2552)Termination reason: Time limit 26.99/3.77 % (2552)Termination phase: Saturation 26.99/3.77 26.99/3.77 % (2552)Memory used [KB]: 9338 26.99/3.77 % (2552)Time elapsed: 1.100 s 26.99/3.77 % (2552)------------------------------ 26.99/3.77 % (2552)------------------------------ 26.99/3.79 % (2587)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark 27.62/3.86 % (2588)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark 28.41/3.99 % (2537)Time limit reached! 28.41/3.99 % (2537)------------------------------ 28.41/3.99 % (2537)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 28.41/3.99 % (2537)Termination reason: Time limit 28.41/3.99 28.41/3.99 % (2537)Memory used [KB]: 8443 28.41/3.99 % (2537)Time elapsed: 3.640 s 28.41/3.99 % (2537)------------------------------ 28.41/3.99 % (2537)------------------------------ 29.19/4.07 % (2589)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 30.62/4.24 % (2535)Time limit reached! 30.62/4.24 % (2535)------------------------------ 30.62/4.24 % (2535)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.62/4.24 % (2535)Termination reason: Time limit 30.62/4.24 30.62/4.24 % (2535)Memory used [KB]: 17398 30.62/4.24 % (2535)Time elapsed: 3.876 s 30.62/4.24 % (2535)------------------------------ 30.62/4.24 % (2535)------------------------------ 31.09/4.33 % (2590)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark 33.36/4.64 % (2540)Time limit reached! 33.36/4.64 % (2540)------------------------------ 33.36/4.64 % (2540)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.36/4.64 % (2540)Termination reason: Time limit 33.36/4.64 33.36/4.64 % (2540)Memory used [KB]: 55905 33.36/4.64 % (2540)Time elapsed: 4.245 s 33.36/4.64 % (2540)------------------------------ 33.36/4.64 % (2540)------------------------------ 34.04/4.66 % (2550)Time limit reached! 34.04/4.66 % (2550)------------------------------ 34.04/4.66 % (2550)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.04/4.66 % (2550)Termination reason: Time limit 34.04/4.66 34.04/4.66 % (2550)Memory used [KB]: 14456 34.04/4.66 % (2550)Time elapsed: 4.311 s 34.04/4.66 % (2550)------------------------------ 34.04/4.66 % (2550)------------------------------ 34.26/4.72 % (2592)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark 34.26/4.74 % (2593)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 35.00/4.82 % (2551)Time limit reached! 35.00/4.82 % (2551)------------------------------ 35.00/4.82 % (2551)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 35.00/4.82 % (2551)Termination reason: Time limit 35.00/4.82 35.00/4.82 % (2551)Memory used [KB]: 76629 35.00/4.82 % (2551)Time elapsed: 4.406 s 35.00/4.82 % (2551)------------------------------ 35.00/4.82 % (2551)------------------------------ 35.88/4.90 % (2594)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 37.05/5.04 % (2586)Time limit reached! 37.05/5.04 % (2586)------------------------------ 37.05/5.04 % (2586)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 37.05/5.05 % (2586)Termination reason: Time limit 37.05/5.05 37.05/5.05 % (2586)Memory used [KB]: 17782 37.05/5.05 % (2586)Time elapsed: 1.413 s 37.05/5.05 % (2586)------------------------------ 37.05/5.05 % (2586)------------------------------ 37.34/5.12 % (2598)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 40.39/5.48 % (2572)Time limit reached! 40.39/5.48 % (2572)------------------------------ 40.39/5.48 % (2572)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 40.39/5.48 % (2572)Termination reason: Time limit 40.39/5.48 40.39/5.48 % (2572)Memory used [KB]: 4349 40.39/5.48 % (2572)Time elapsed: 3.628 s 40.39/5.48 % (2572)------------------------------ 40.39/5.48 % (2572)------------------------------ 41.35/5.56 % (2546)Refutation found. Thanks to Tanya! 41.35/5.56 % SZS status Theorem for theBenchmark 41.35/5.56 % SZS output start Proof for theBenchmark 41.35/5.56 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 41.35/5.56 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 41.35/5.56 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 41.35/5.56 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 41.35/5.57 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_12, type, powerset: '$i' -> '$i'). 41.35/5.57 tff(func_def_14, type, setunion: '$i' -> '$i'). 41.35/5.57 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_30, type, prop2set: '$o' -> '$i'). 41.35/5.57 tff(func_def_40, type, nonempty: '$i' -> '$o'). 41.35/5.57 tff(func_def_73, type, set2prop: '$i' -> '$o'). 41.35/5.57 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_139, type, regular: '$i' -> '$o'). 41.35/5.57 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_157, type, iskpair: '$i' -> '$o'). 41.35/5.57 tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_181, type, singleton: '$i' -> '$o'). 41.35/5.57 tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o'). 41.35/5.57 tff(func_def_188, type, atmost1p: '$i' -> '$o'). 41.35/5.57 tff(func_def_189, type, atleast2p: '$i' -> '$o'). 41.35/5.57 tff(func_def_190, type, atmost2p: '$i' -> '$o'). 41.35/5.57 tff(func_def_191, type, upairsetp: '$i' -> '$o'). 41.35/5.57 tff(func_def_195, type, kfst: '$i' -> '$i'). 41.35/5.57 tff(func_def_207, type, ksnd: '$i' -> '$i'). 41.35/5.57 tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_226, type, func: '$i' -> '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_227, type, funcSet: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_230, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_236, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 41.35/5.57 tff(func_def_263, type, if: '$i' -> '$o' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_327, type, breln1: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_329, type, breln1Set: '$i' -> '$i'). 41.35/5.57 tff(func_def_331, type, transitive: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_332, type, antisymmetric: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_333, type, reflexive: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_334, type, refltransitive: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_335, type, refllinearorder: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_336, type, reflwellordering: '$i' -> '$i' -> '$o'). 41.35/5.57 tff(func_def_342, type, breln1invset: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_344, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 41.35/5.57 tff(func_def_347, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 41.35/5.57 tff(func_def_348, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 41.35/5.57 tff(func_def_349, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 41.35/5.57 tff(func_def_350, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 41.35/5.57 tff(func_def_351, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 41.35/5.57 tff(func_def_352, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 41.35/5.57 tff(func_def_353, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 41.35/5.57 tff(func_def_354, type, vIMP: '$o' -> '$o' -> '$o'). 41.35/5.57 tff(func_def_355, type, vAND: '$o' -> '$o' -> '$o'). 41.35/5.57 tff(func_def_356, type, vNOT: '$o' -> '$o'). 41.35/5.57 tff(func_def_357, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 41.35/5.57 tff(func_def_358, type, vIFF: '$o' -> '$o' -> '$o'). 41.35/5.57 tff(func_def_359, type, vOR: '$o' -> '$o' -> '$o'). 41.35/5.57 tff(func_def_365, type, sK5: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_366, type, sK6: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_367, type, sK7: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_368, type, sK8: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_369, type, sK9: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_370, type, sK10: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_371, type, sK11: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_372, type, sK12: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_373, type, sK13: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_374, type, sK14: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_375, type, sK15: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_376, type, sK16: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_377, type, sK17: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_378, type, sK18: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_379, type, sK19: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_380, type, sK20: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_381, type, sK21: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_382, type, sK22: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_383, type, sK23: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 41.35/5.57 tff(func_def_384, type, sK24: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 41.35/5.57 tff(func_def_385, type, sK25: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 41.35/5.57 tff(func_def_386, type, sK26: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 41.35/5.57 tff(func_def_387, type, sK27: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 41.35/5.57 tff(func_def_388, type, sK28: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 41.35/5.57 tff(func_def_389, type, sK29: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_390, type, sK30: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_391, type, sK31: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_392, type, sK32: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_393, type, sK33: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_394, type, sK34: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_395, type, sK35: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_396, type, sK36: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_397, type, sK37: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_398, type, sK38: '$o' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_399, type, sK39: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_400, type, sK40: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_401, type, sK41: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_402, type, sK42: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_403, type, sK43: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_404, type, sK44: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_405, type, sK45: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_406, type, sK46: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_407, type, sK47: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_408, type, sK48: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_409, type, sK49: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_410, type, sK50: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_411, type, sK51: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_412, type, sK52: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_413, type, sK53: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_414, type, sK54: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_415, type, sK55: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_416, type, sK56: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_417, type, sK57: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_418, type, sK58: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_419, type, sK59: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_420, type, sK60: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_421, type, sK61: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_422, type, sK62: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_423, type, sK63: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_424, type, sK64: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_425, type, sK65: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_426, type, sK66: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_427, type, sK67: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_428, type, sK68: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_429, type, sK69: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_430, type, sK70: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_431, type, sK71: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_432, type, sK72: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 41.35/5.57 tff(func_def_433, type, sK73: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 41.35/5.57 tff(func_def_434, type, sK74: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 41.35/5.57 tff(func_def_435, type, sK75: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 41.35/5.57 tff(func_def_436, type, sK76: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 41.35/5.57 tff(func_def_437, type, sK77: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_438, type, sK78: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_439, type, sK79: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_440, type, sK80: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_441, type, sK81: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_442, type, sK82: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_443, type, sK83: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_444, type, sK84: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_445, type, sK85: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_446, type, sK86: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_447, type, sK87: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_448, type, sK88: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_449, type, sK89: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_450, type, sK90: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_451, type, sK91: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_452, type, sK92: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_453, type, sK93: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_454, type, sK94: '$i' -> '$i'). 41.35/5.57 tff(func_def_455, type, sK95: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_456, type, sK96: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_457, type, sK97: '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_458, type, sK98: '$i' -> '$i' -> '$i' -> '$i'). 41.35/5.57 tff(func_def_459, type, sK99: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_460, type, sK100: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_461, type, sK101: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_462, type, sK102: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_463, type, sK103: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_464, type, sK104: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_465, type, sK105: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_466, type, sK106: '$i' -> '$i'). 41.35/5.57 tff(func_def_467, type, sK107: '$i' -> '$i'). 41.35/5.57 tff(func_def_468, type, sK108: '$i' -> '$i'). 41.35/5.57 tff(func_def_469, type, sK109: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_470, type, sK110: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_471, type, sK111: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_472, type, sK112: ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_473, type, sK113: '$i' -> ('$i' -> '$o') -> '$i'). 41.35/5.57 tff(func_def_474, type, sK114: '$i' -> '$i'). 41.35/5.57 tff(func_def_475, type, sK115: '$i' -> '$i'). 41.35/5.57 tff(func_def_476, type, sK116: '$i' -> '$i'). 41.35/5.57 tff(f185,axiom,( 41.35/5.57 (dpsetconstrI = ! [X3,X4,X0 : '$i' -> '$i' -> '$o',X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X4 => (X0 @ X1 @ X2 => in @ (kpair @ X1 @ X2) @ (dpsetconstr @ X3 @ X4 @ (^[X8 : '$i', X10 : '$i'] : X0 @ X8 @ X10))))))), 41.35/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrI)). 41.35/5.58 tff(f296,axiom,( 41.35/5.58 breln1invset = (^[X3 : '$i', X13 : '$i'] : dpsetconstr @ X3 @ X3 @ (^[X1 : '$i', X2 : '$i'] : in @ (kpair @ X2 @ X1) @ X13))), 41.35/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1invset)). 41.35/5.58 tff(f298,conjecture,( 41.35/5.58 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X3,X13] : (breln1 @ X3 @ X13 => ! [X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X3 => (in @ (kpair @ X1 @ X2) @ X13 => in @ (kpair @ X2 @ X1) @ (breln1invset @ X3 @ X13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 41.35/5.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1invI)). 41.35/5.58 tff(f299,negated_conjecture,( 41.35/5.58 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X3,X13] : (breln1 @ X3 @ X13 => ! [X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X3 => (in @ (kpair @ X1 @ X2) @ X13 => in @ (kpair @ X2 @ X1) @ (breln1invset @ X3 @ X13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 41.35/5.58 inference(negated_conjecture,[],[f298])). 41.35/5.58 tff(f300,plain,( 41.35/5.58 ~(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 => 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=> (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X0,X1] : (breln1 @ X0 @ X1 => ! [X2] : (in @ X2 @ X0 => ! [X3] : (in @ X3 @ X0 => (in @ (kpair @ X2 @ X3) @ X1 => in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 41.35/5.58 inference(rectify,[],[f299])). 41.35/5.58 tff(f301,plain,( 41.35/5.58 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ! [X0,X1] : ((breln1 @ X0 @ X1 = $true) => ! [X2] : ((in @ X2 @ X0 = $true) => ! [X3] : ((in @ X3 @ X0 = $true) => ((in @ (kpair @ X2 @ X3) @ X1 = $true) => (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 41.35/5.58 inference(fool_elimination,[],[f300])). 41.35/5.58 tff(f864,plain,( 41.35/5.58 (dpsetconstrI = ! [X0,X1,X2 : '$i' -> '$i' -> '$o',X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X1 => (X2 @ X3 @ X4 => in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ (^[X5 : '$i', X6 : '$i'] : X2 @ X5 @ X6))))))), 41.35/5.58 inference(rectify,[],[f185])). 41.35/5.58 tff(f865,plain,( 41.35/5.58 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr))))))))))) = dpsetconstrI)), 41.35/5.58 inference(fool_elimination,[],[f864])). 41.35/5.58 tff(f880,plain,( 41.35/5.58 breln1invset = (^[X0 : '$i', X1 : '$i'] : dpsetconstr @ X0 @ X0 @ (^[X2 : '$i', X3 : '$i'] : in @ (kpair @ X3 @ X2) @ X1))), 41.35/5.58 inference(rectify,[],[f296])). 41.35/5.58 tff(f881,plain,( 41.35/5.58 cCOMB @ (bCOMB @ bCOMB @ (sCOMB @ dpsetconstr @ iCOMB)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ kpair)))) = breln1invset), 41.35/5.58 inference(fool_elimination,[],[f880])). 41.35/5.58 % (2599)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 41.35/5.58 tff(f890,plain,( 41.35/5.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (((in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1) != $true) & (in @ (kpair @ X2 @ X3) @ X1 = $true)) & (in @ X3 @ X0 = $true)) & (in @ X2 @ X0 = $true)) & (breln1 @ X0 @ X1 = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 41.35/5.58 inference(ennf_transformation,[],[f301])). 41.35/5.58 tff(f891,plain,( 41.35/5.58 ? [X0,X1] : (? [X2] : (? [X3] : ((in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1) != $true) & (in @ (kpair @ X2 @ X3) @ X1 = $true) & (in @ X3 @ X0 = $true)) & (in @ X2 @ X0 = $true)) & (breln1 @ X0 @ X1 = $true)) & (breln1invprop = $true) & (eqbreln1 = $true) & (subbreln1 = $true) & (breln1all1 = $true) & (setOfPairsIsBReln1 = $true) & (choice2fnsingleton = $true) & (breln1SetBreln1 = $true) & (breln1all2 = $true) & (woz1_5 = $true) & (woz1_4 = $true) & (woz1_3 = $true) & (woz1_2 = $true) & (woz1_1 = $true) & (woz13rule4 = $true) & (woz13rule3 = $true) & (woz13rule2 = $true) & (woz13rule1 = $true) & (woz13rule0 = $true) & (demorgan2 = $true) & (demorgan2b = $true) & (demorgan2b2 = $true) & (demorgan2a = $true) & (demorgan1 = $true) & (demorgan1b = $true) & (demorgan1a = $true) & (demorgan2a2 = $true) & (complementUnionInPowersetComplement = $true) & (demorgan2a1 = $true) & (binunionTEcontra = $true) & (binunionTE = $true) & (inComplementUnionImpInComplement1 = $true) & (inComplementUnionImpNotIn1 = $true) & (intersectInPowersetIntersectUnions = $true) & (inIntersectImpInIntersectUnions = $true) & (inIntersectImpInUnion2 = $true) & (inIntersectImpInUnion = $true) & (binunionTIRcontra = $true) & (binunionTILcontra = $true) & (complementTcontraSubset = $true) & (contraSubsetComplement = $true) & (complementInPowersetComplementIntersect = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (complementTnotintersectT = $true) & (doubleComplementEq = $true) & (doubleComplementSub2 = $true) & (doubleComplementSub1 = $true) & (doubleComplementE1 = $true) & (doubleComplementI1 = $true) & (contrasubsetT3 = $true) & (contrasubsetT2 = $true) & (contrasubsetT1 = $true) & (contrasubsetT = $true) & (binintersectTERcontra = $true) & (binintersectTELcontra = $true) & (complementTE1 = $true) & (complementTI1 = $true) & (powersetTE1 = $true) & (powersetTI1 = $true) & (subsetTI = $true) & (setextT = $true) & (complementT_lem = $true) & (setminusT_lem = $true) & (powersetT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true) & (iftrueorfalse = $true) & (iffalse = $true) & (iftrue = $true) & (theeq = $true) & (ifp = $true) & (ifSingleton = $true) & (iftrueProp2 = $true) & (iftrueProp1 = $true) & (iffalseProp2 = $true) & (iffalseProp1 = $true) & (eta2 = $true) & (beta2 = $true) & (lam2lamEq = $true) & (eta1 = $true) & (beta1 = $true) & (ap2apEq2 = $true) & (ap2apEq1 = $true) & (funcext2 = $true) & (funcext = $true) & (eqbreln = $true) & (subbreln = $true) & (funcGraphProp4 = $true) & (funcextLem = $true) & (funcGraphProp2 = $true) & (funcGraphProp3 = $true) & (funcGraphProp1 = $true) & (ex1E2 = $true) & (brelnall2 = $true) & (brelnall1 = $true) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 41.35/5.58 inference(flattening,[],[f890])). 41.35/5.58 tff(f892,plain,( 41.35/5.58 ? [X0,X1] : (? [X2] : (? [X3] : ((in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1) != $true) & (in @ (kpair @ X2 @ X3) @ X1 = $true) & (in @ X3 @ X0 = $true)) & (in @ X2 @ X0 = $true)) & (breln1 @ X0 @ X1 = $true)) => (? [X2] : (? [X3] : ((in @ (kpair @ X3 @ X2) @ (breln1invset @ sK0 @ sK1) != $true) & (in @ (kpair @ X2 @ X3) @ sK1 = $true) & (in @ X3 @ sK0 = $true)) & (in @ X2 @ sK0 = $true)) & (breln1 @ sK0 @ sK1 = $true))), 41.35/5.58 introduced(choice_axiom,[])). 41.35/5.58 tff(f893,plain,( 41.35/5.58 ? [X2] : (? [X3] : ((in @ (kpair @ X3 @ X2) @ (breln1invset @ sK0 @ sK1) != $true) & (in @ (kpair @ X2 @ X3) @ sK1 = $true) & (in @ X3 @ sK0 = $true)) & (in @ X2 @ sK0 = $true)) => (? [X3] : ((in @ (kpair @ X3 @ sK2) @ (breln1invset @ sK0 @ sK1) != $true) & (in @ (kpair @ sK2 @ X3) @ sK1 = $true) & (in @ X3 @ sK0 = $true)) & (in @ sK2 @ sK0 = $true))), 41.35/5.58 introduced(choice_axiom,[])). 41.35/5.58 tff(f894,plain,( 41.35/5.58 ? [X3] : ((in @ (kpair @ X3 @ sK2) @ (breln1invset @ sK0 @ sK1) != $true) & (in @ (kpair @ sK2 @ X3) @ sK1 = $true) & (in @ X3 @ sK0 = $true)) => ((in @ (kpair @ sK3 @ sK2) @ (breln1invset @ sK0 @ sK1) != $true) & (in @ (kpair @ sK2 @ sK3) @ sK1 = $true) & (in @ sK3 @ sK0 = $true))), 41.35/5.58 introduced(choice_axiom,[])). 41.35/5.58 tff(f895,plain,( 41.35/5.58 ((((in @ (kpair @ sK3 @ sK2) @ (breln1invset @ sK0 @ sK1) != $true) & (in @ (kpair @ sK2 @ sK3) @ sK1 = $true) & (in @ sK3 @ sK0 = $true)) & (in @ sK2 @ sK0 = $true)) & (breln1 @ sK0 @ sK1 = $true)) & (breln1invprop = $true) & (eqbreln1 = $true) & (subbreln1 = $true) & (breln1all1 = $true) & (setOfPairsIsBReln1 = $true) & (choice2fnsingleton = $true) & (breln1SetBreln1 = $true) & (breln1all2 = $true) & (woz1_5 = $true) & (woz1_4 = $true) & (woz1_3 = $true) & (woz1_2 = $true) & (woz1_1 = $true) & (woz13rule4 = $true) & (woz13rule3 = $true) & (woz13rule2 = $true) & (woz13rule1 = $true) & (woz13rule0 = $true) & (demorgan2 = $true) & (demorgan2b = $true) & (demorgan2b2 = $true) & (demorgan2a = $true) & (demorgan1 = $true) & (demorgan1b = $true) & (demorgan1a = $true) & (demorgan2a2 = $true) & (complementUnionInPowersetComplement = $true) & (demorgan2a1 = $true) & (binunionTEcontra = $true) & (binunionTE = $true) & (inComplementUnionImpInComplement1 = $true) & (inComplementUnionImpNotIn1 = $true) & (intersectInPowersetIntersectUnions = $true) & (inIntersectImpInIntersectUnions = $true) & (inIntersectImpInUnion2 = $true) & (inIntersectImpInUnion = $true) & (binunionTIRcontra = $true) & (binunionTILcontra = $true) & (complementTcontraSubset = $true) & (contraSubsetComplement = $true) & (complementInPowersetComplementIntersect = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (complementTnotintersectT = $true) & (doubleComplementEq = $true) & (doubleComplementSub2 = $true) & (doubleComplementSub1 = $true) & (doubleComplementE1 = $true) & (doubleComplementI1 = $true) & (contrasubsetT3 = $true) & (contrasubsetT2 = $true) & (contrasubsetT1 = $true) & (contrasubsetT = $true) & (binintersectTERcontra = $true) & (binintersectTELcontra = $true) & (complementTE1 = $true) & (complementTI1 = $true) & (powersetTE1 = $true) & (powersetTI1 = $true) & (subsetTI = $true) & (setextT = $true) & (complementT_lem = $true) & (setminusT_lem = $true) & (powersetT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true) & (iftrueorfalse = $true) & (iffalse = $true) & (iftrue = $true) & (theeq = $true) & (ifp = $true) & (ifSingleton = $true) & (iftrueProp2 = $true) & (iftrueProp1 = $true) & (iffalseProp2 = $true) & (iffalseProp1 = $true) & (eta2 = $true) & (beta2 = $true) & (lam2lamEq = $true) & (eta1 = $true) & (beta1 = $true) & (ap2apEq2 = $true) & (ap2apEq1 = $true) & (funcext2 = $true) & (funcext = $true) & (eqbreln = $true) & (subbreln = $true) & (funcGraphProp4 = $true) & (funcextLem = $true) & (funcGraphProp2 = $true) & (funcGraphProp3 = $true) & (funcGraphProp1 = $true) & (ex1E2 = $true) & (brelnall2 = $true) & (brelnall1 = $true) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 41.35/5.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f891,f894,f893,f892])). 41.35/5.58 tff(f1077,plain,( 41.35/5.58 (dpsetconstrI = $true)), 41.35/5.58 inference(cnf_transformation,[],[f895])). 41.35/5.58 tff(f1189,plain,( 41.35/5.58 (in @ sK2 @ sK0 = $true)), 41.35/5.58 inference(cnf_transformation,[],[f895])). 41.35/5.58 tff(f1190,plain,( 41.35/5.58 (in @ sK3 @ sK0 = $true)), 41.35/5.58 inference(cnf_transformation,[],[f895])). 41.35/5.58 tff(f1191,plain,( 41.35/5.58 (in @ (kpair @ sK2 @ sK3) @ sK1 = $true)), 41.35/5.58 inference(cnf_transformation,[],[f895])). 41.35/5.58 tff(f1192,plain,( 41.35/5.58 (in @ (kpair @ sK3 @ sK2) @ (breln1invset @ sK0 @ sK1) != $true)), 41.35/5.58 inference(cnf_transformation,[],[f895])). 41.35/5.58 tff(f1477,plain,( 41.35/5.58 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr))))))))))) = dpsetconstrI)), 41.35/5.58 inference(cnf_transformation,[],[f865])). 41.35/5.58 tff(f1485,plain,( 41.35/5.58 cCOMB @ (bCOMB @ bCOMB @ (sCOMB @ dpsetconstr @ iCOMB)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ kpair)))) = breln1invset), 41.35/5.58 inference(cnf_transformation,[],[f881])). 41.35/5.59 tff(f1491,plain,( 41.35/5.59 (in @ (kpair @ sK3 @ sK2) @ (cCOMB @ (bCOMB @ bCOMB @ (sCOMB @ dpsetconstr @ iCOMB)) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ kpair)))) @ sK0 @ sK1) != $true)), 41.35/5.59 inference(definition_unfolding,[],[f1192,f1485])). 41.35/5.59 tff(f1777,plain,( 41.35/5.59 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr))))))))))) = $true)), 41.35/5.59 inference(definition_unfolding,[],[f1477,f1077])). 41.35/5.59 tff(f1867,plain,( 41.35/5.59 ( ! [X1] : ((bCOMB @ vPI('$i' -> '$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in)))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ iCOMB)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair))))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr)))))))))) @ X1 = $true)) )), 41.35/5.59 inference(pi_clausification,[],[f1777])). 41.35/5.59 tff(f1868,plain,( 41.35/5.59 ( ! [X1] : ((vPI('$i' -> '$i' -> '$o') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB @ X1))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1))))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr)))))))))) = $true)) )), 41.35/5.59 inference(combinator_demodulation,[],[f1867])). 41.35/5.59 tff(f1869,plain,( 41.35/5.59 ( ! [X2:'$i' -> '$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB @ X1))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1))))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr))))))))) @ X2 = $true)) )), 41.35/5.59 inference(pi_clausification,[],[f1868])). 41.35/5.60 tff(f1870,plain,( 41.35/5.60 ( ! [X2:'$i' -> '$i' -> '$o',X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1)))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr)) @ X2))))))) = $true)) )), 41.35/5.60 inference(combinator_demodulation,[],[f1869])). 41.35/5.60 tff(f1871,plain,( 41.35/5.60 ( ! [X2:'$i' -> '$i' -> '$o',X3,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1)))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ dpsetconstr)) @ X2)))))) @ X3 = $true)) )), 41.35/5.60 inference(pi_clausification,[],[f1870])). 41.35/5.60 % (2553)Time limit reached! 41.35/5.60 % (2553)------------------------------ 41.35/5.60 % (2553)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.35/5.60 tff(f1872,plain,( 41.35/5.60 ( ! [X2:'$i' -> '$i' -> '$o',X3,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1))) @ (cCOMB @ (cCOMB @ dpsetconstr @ X3) @ X2)))))) = $true)) )), 41.35/5.60 inference(combinator_demodulation,[],[f1871])). 41.35/5.60 tff(f1873,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1))) @ (cCOMB @ (cCOMB @ dpsetconstr @ X3) @ X2))))) @ X4 = $true)) )), 41.35/5.60 inference(pi_clausification,[],[f1872])). 41.35/5.60 tff(f1874,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X3,X1] : ((vIMP @ (in @ X1 @ X4) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)) @ (dpsetconstr @ X4 @ X3 @ X2))))) = $true)) )), 41.35/5.60 inference(combinator_demodulation,[],[f1873])). 41.35/5.60 tff(f1875,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X3,X1] : ((in @ X1 @ X4 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)) @ (dpsetconstr @ X4 @ X3 @ X2)))) = $true)) )), 41.35/5.60 inference(binary_proxy_clausification,[],[f1874])). 41.35/5.60 % (2553)Termination reason: Time limit 41.35/5.60 41.35/5.60 % (2553)Memory used [KB]: 24178 41.35/5.60 % (2553)Time elapsed: 5.223 s 41.35/5.60 % (2553)------------------------------ 41.35/5.60 % (2553)------------------------------ 41.35/5.60 tff(f1876,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X5,X3,X1] : ((in @ X1 @ X4 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vIMP @ (X2 @ X1)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)) @ (dpsetconstr @ X4 @ X3 @ X2))) @ X5 = $true)) )), 41.35/5.60 inference(pi_clausification,[],[f1875])). 41.35/5.60 tff(f1877,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X5,X3,X1] : ((in @ X1 @ X4 = $false) | (vIMP @ (in @ X5 @ X3) @ (vIMP @ (X2 @ X1 @ X5) @ (in @ (kpair @ X1 @ X5) @ (dpsetconstr @ X4 @ X3 @ X2))) = $true)) )), 41.35/5.60 inference(combinator_demodulation,[],[f1876])). 41.35/5.60 tff(f1878,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X5,X3,X1] : ((in @ X1 @ X4 = $false) | (in @ X5 @ X3 = $false) | (vIMP @ (X2 @ X1 @ X5) @ (in @ (kpair @ X1 @ X5) @ (dpsetconstr @ X4 @ X3 @ X2)) = $true)) )), 41.35/5.60 inference(binary_proxy_clausification,[],[f1877])). 41.35/5.60 tff(f1879,plain,( 41.35/5.60 ( ! [X4,X2:'$i' -> '$i' -> '$o',X5,X3,X1] : ((in @ (kpair @ X1 @ X5) @ (dpsetconstr @ X4 @ X3 @ X2) = $true) | (in @ X5 @ X3 = $false) | (X2 @ X1 @ X5 = $false) | (in @ X1 @ X4 = $false)) )), 41.35/5.60 inference(binary_proxy_clausification,[],[f1878])). 41.35/5.60 tff(f4962,plain,( 41.35/5.60 (in @ (kpair @ sK3 @ sK2) @ (dpsetconstr @ sK0 @ sK0 @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ kpair))) @ sK1)) != $true)), 41.35/5.60 inference(combinator_demodulation,[],[f1491])). 41.35/5.60 tff(f11422,plain,( 41.35/5.60 ($true != $true) | (in @ sK2 @ sK0 = $false) | (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ kpair))) @ sK1 @ sK3 @ sK2 = $false) | (in @ sK3 @ sK0 = $false)), 41.35/5.60 inference(superposition,[],[f4962,f1879])). 41.35/5.60 tff(f11430,plain,( 41.35/5.60 (in @ sK2 @ sK0 = $false) | (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ kpair))) @ sK1 @ sK3 @ sK2 = $false) | (in @ sK3 @ sK0 = $false)), 41.35/5.60 inference(trivial_inequality_removal,[],[f11422])). 41.35/5.60 tff(f11431,plain,( 41.35/5.60 (in @ sK2 @ sK0 = $false) | (in @ (kpair @ sK2 @ sK3) @ sK1 = $false) | (in @ sK3 @ sK0 = $false)), 41.35/5.60 inference(combinator_demodulation,[],[f11430])). 41.35/5.60 tff(f11435,plain,( 41.35/5.60 ($false = $true) | (in @ (kpair @ sK2 @ sK3) @ sK1 = $false) | (in @ sK3 @ sK0 = $false)), 41.35/5.60 inference(forward_demodulation,[],[f11431,f1189])). 41.35/5.60 tff(f11436,plain,( 41.35/5.60 (in @ (kpair @ sK2 @ sK3) @ sK1 = $false) | (in @ sK3 @ sK0 = $false)), 41.35/5.60 inference(trivial_inequality_removal,[],[f11435])). 41.35/5.60 tff(f11437,plain,( 41.35/5.60 ($false = $true) | (in @ (kpair @ sK2 @ sK3) @ sK1 = $false)), 41.35/5.60 inference(forward_demodulation,[],[f11436,f1190])). 41.35/5.60 tff(f11438,plain,( 41.35/5.60 (in @ (kpair @ sK2 @ sK3) @ sK1 = $false)), 41.35/5.60 inference(trivial_inequality_removal,[],[f11437])). 41.35/5.60 tff(f11439,plain,( 41.35/5.60 ($false = $true)), 41.35/5.60 inference(backward_demodulation,[],[f11438,f1191])). 41.35/5.60 tff(f11440,plain,( 41.35/5.60 $false), 41.35/5.60 inference(trivial_inequality_removal,[],[f11439])). 41.35/5.60 % SZS output end Proof for theBenchmark 41.35/5.60 % (2546)------------------------------ 41.35/5.60 % (2546)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.35/5.60 % (2546)Termination reason: Refutation 41.35/5.60 41.35/5.60 % (2546)Memory used [KB]: 20980 41.35/5.60 % (2546)Time elapsed: 5.193 s 41.35/5.60 % (2546)------------------------------ 41.35/5.60 % (2546)------------------------------ 41.35/5.61 % (2529)Success in time 5.295 s 41.35/5.61 EOF