0.08/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 07:45:10 EDT 2020 0.13/0.34 % CPUTime : 0.20/0.41 % (10400)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 0.20/0.41 % (10399)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 0.20/0.42 % (10403)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 0.20/0.42 % (10404)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 0.20/0.42 % (10412)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 0.20/0.42 % (10401)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 0.20/0.42 % (10402)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 0.20/0.42 % (10421)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 0.20/0.43 % (10413)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 0.20/0.44 % (10405)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 0.20/0.44 % (10410)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 0.20/0.44 % (10423)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 0.20/0.44 % (10417)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 0.20/0.44 % (10416)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 0.20/0.44 % (10422)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 0.20/0.44 % (10427)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 0.20/0.45 % (10426)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 0.20/0.45 % (10408)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 0.20/0.45 % (10419)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 0.20/0.45 % (10409)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 0.20/0.45 % (10414)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 0.20/0.46 % (10428)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 0.20/0.46 % (10415)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 0.20/0.46 % (10406)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 0.20/0.46 % (10411)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 0.20/0.46 % (10418)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 0.20/0.46 % (10420)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 0.20/0.46 % (10407)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 0.20/0.47 % (10425)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 0.20/0.47 % (10424)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 4.93/1.03 % (10413)Time limit reached! 4.93/1.03 % (10413)------------------------------ 4.93/1.03 % (10413)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.93/1.03 % (10413)Termination reason: Time limit 4.93/1.03 % (10413)Termination phase: Unknown 4.93/1.03 4.93/1.03 % (10413)Memory used [KB]: 3837 4.93/1.03 % (10413)Time elapsed: 0.400 s 4.93/1.03 % (10413)------------------------------ 4.93/1.03 % (10413)------------------------------ 4.93/1.07 % (10483)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 6.69/1.23 % (10405)Time limit reached! 6.69/1.23 % (10405)------------------------------ 6.69/1.23 % (10405)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.69/1.23 % (10405)Termination reason: Time limit 6.69/1.23 % (10405)Termination phase: Property scanning 6.69/1.23 6.69/1.23 % (10405)Memory used [KB]: 3837 6.69/1.23 % (10405)Time elapsed: 0.600 s 6.69/1.23 % (10405)------------------------------ 6.69/1.23 % (10405)------------------------------ 6.69/1.27 % (10523)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 8.50/1.54 % (10410)Time limit reached! 8.50/1.54 % (10410)------------------------------ 8.50/1.54 % (10410)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.50/1.54 % (10410)Termination reason: Time limit 8.50/1.54 % (10410)Termination phase: Property scanning 8.50/1.54 8.50/1.54 % (10410)Memory used [KB]: 4221 8.50/1.54 % (10410)Time elapsed: 0.500 s 8.50/1.54 % (10410)------------------------------ 8.50/1.54 % (10410)------------------------------ 9.25/1.59 % (10541)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 11.88/1.88 % (10421)Time limit reached! 11.88/1.88 % (10421)------------------------------ 11.88/1.88 % (10421)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.88/1.88 % (10421)Termination reason: Time limit 11.88/1.88 % (10421)Termination phase: Saturation 11.88/1.88 11.88/1.88 % (10421)Memory used [KB]: 5373 11.88/1.88 % (10421)Time elapsed: 1.100 s 11.88/1.88 % (10421)------------------------------ 11.88/1.88 % (10421)------------------------------ 11.88/1.90 % (10424)Time limit reached! 11.88/1.90 % (10424)------------------------------ 11.88/1.90 % (10424)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.88/1.90 % (10424)Termination reason: Time limit 11.88/1.90 11.88/1.90 % (10424)Memory used [KB]: 14456 11.88/1.90 % (10424)Time elapsed: 1.506 s 11.88/1.90 % (10424)------------------------------ 11.88/1.90 % (10424)------------------------------ 12.14/1.92 % (10542)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 12.33/1.97 % (10543)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 14.48/2.28 % (10399)Time limit reached! 14.48/2.28 % (10399)------------------------------ 14.48/2.28 % (10399)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.48/2.28 % (10399)Termination reason: Time limit 14.48/2.28 % (10399)Termination phase: Function definition elimination 14.48/2.28 14.48/2.28 % (10399)Memory used [KB]: 4093 14.48/2.28 % (10399)Time elapsed: 0.500 s 14.48/2.28 % (10399)------------------------------ 14.48/2.28 % (10399)------------------------------ 14.48/2.29 % (10400)Time limit reached! 14.48/2.29 % (10400)------------------------------ 14.48/2.29 % (10400)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.48/2.29 % (10400)Termination reason: Time limit 14.48/2.29 % (10400)Termination phase: Property scanning 14.48/2.29 14.48/2.29 % (10400)Memory used [KB]: 4093 14.48/2.29 % (10400)Time elapsed: 0.500 s 14.48/2.29 % (10400)------------------------------ 14.48/2.29 % (10400)------------------------------ 14.48/2.31 % (10411)Time limit reached! 14.48/2.31 % (10411)------------------------------ 14.48/2.31 % (10411)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.48/2.31 % (10411)Termination reason: Time limit 14.48/2.31 % (10411)Termination phase: Function definition elimination 14.48/2.31 14.48/2.31 % (10411)Memory used [KB]: 4093 14.48/2.31 % (10411)Time elapsed: 0.500 s 14.48/2.31 % (10411)------------------------------ 14.48/2.31 % (10411)------------------------------ 15.09/2.33 % (10544)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 15.09/2.34 % (10545)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 15.09/2.36 % (10546)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 15.09/2.39 % (10402)Time limit reached! 15.09/2.39 % (10402)------------------------------ 15.09/2.39 % (10402)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.09/2.39 % (10402)Termination reason: Time limit 15.09/2.39 % (10402)Termination phase: Saturation 15.09/2.39 15.09/2.39 % (10402)Memory used [KB]: 17270 15.09/2.39 % (10402)Time elapsed: 0.500 s 15.09/2.39 % (10402)------------------------------ 15.09/2.39 % (10402)------------------------------ 16.01/2.44 % (10547)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 17.64/2.61 % (10408)Time limit reached! 17.64/2.61 % (10408)------------------------------ 17.64/2.61 % (10408)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.64/2.61 % (10408)Termination reason: Time limit 17.64/2.61 % (10408)Termination phase: Saturation 17.64/2.61 17.64/2.61 % (10408)Memory used [KB]: 13944 17.64/2.61 % (10408)Time elapsed: 0.600 s 17.64/2.61 % (10408)------------------------------ 17.64/2.61 % (10408)------------------------------ 17.64/2.66 % (10548)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 18.92/2.78 % (10401)Time limit reached! 18.92/2.78 % (10401)------------------------------ 18.92/2.78 % (10401)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 18.92/2.78 % (10401)Termination reason: Time limit 18.92/2.78 % (10401)Termination phase: Saturation 18.92/2.78 18.92/2.78 % (10401)Memory used [KB]: 13944 18.92/2.78 % (10401)Time elapsed: 0.600 s 18.92/2.78 % (10401)------------------------------ 18.92/2.78 % (10401)------------------------------ 19.24/2.83 % (10549)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 20.76/3.00 % (10404)Time limit reached! 20.76/3.00 % (10404)------------------------------ 20.76/3.00 % (10404)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 20.76/3.00 % (10404)Termination reason: Time limit 20.76/3.00 20.76/3.00 % (10404)Memory used [KB]: 18038 20.76/3.00 % (10404)Time elapsed: 2.604 s 20.76/3.00 % (10404)------------------------------ 20.76/3.00 % (10404)------------------------------ 20.76/3.04 % (10550)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 22.36/3.26 % (10417)Time limit reached! 22.36/3.26 % (10417)------------------------------ 22.36/3.26 % (10417)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.36/3.26 % (10417)Termination reason: Time limit 22.36/3.26 22.36/3.26 % (10417)Memory used [KB]: 13816 22.36/3.26 % (10417)Time elapsed: 2.855 s 22.36/3.26 % (10417)------------------------------ 22.36/3.26 % (10417)------------------------------ 23.04/3.33 % (10412)Time limit reached! 23.04/3.33 % (10412)------------------------------ 23.04/3.33 % (10412)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.04/3.33 % (10412)Termination reason: Time limit 23.04/3.33 23.04/3.33 % (10412)Memory used [KB]: 13816 23.04/3.33 % (10412)Time elapsed: 2.918 s 23.04/3.33 % (10412)------------------------------ 23.04/3.33 % (10412)------------------------------ 23.04/3.33 % (10551)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 23.04/3.39 % (10552)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 23.70/3.40 % (10414)Time limit reached! 23.70/3.40 % (10414)------------------------------ 23.70/3.40 % (10414)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.70/3.40 % (10414)Termination reason: Time limit 23.70/3.40 23.70/3.40 % (10414)Memory used [KB]: 18421 23.70/3.40 % (10414)Time elapsed: 2.995 s 23.70/3.40 % (10414)------------------------------ 23.70/3.40 % (10414)------------------------------ 23.79/3.41 % (10418)Time limit reached! 23.79/3.41 % (10418)------------------------------ 23.79/3.41 % (10418)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.79/3.41 % (10418)Termination reason: Time limit 23.79/3.41 23.79/3.41 % (10418)Memory used [KB]: 12792 23.79/3.41 % (10418)Time elapsed: 3.002 s 23.79/3.41 % (10418)------------------------------ 23.79/3.41 % (10418)------------------------------ 24.11/3.46 % (10553)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 24.11/3.47 % (10554)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 24.11/3.51 % (10407)Time limit reached! 24.11/3.51 % (10407)------------------------------ 24.11/3.51 % (10407)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.11/3.51 % (10407)Termination reason: Time limit 24.11/3.51 24.11/3.51 % (10407)Memory used [KB]: 9083 24.11/3.51 % (10407)Time elapsed: 3.115 s 24.11/3.51 % (10407)------------------------------ 24.11/3.51 % (10407)------------------------------ 24.90/3.58 % (10555)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 25.56/3.62 % (10416)Time limit reached! 25.56/3.62 % (10416)------------------------------ 25.56/3.62 % (10416)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.56/3.62 % (10416)Termination reason: Time limit 25.56/3.62 25.56/3.62 % (10416)Memory used [KB]: 51683 25.56/3.62 % (10416)Time elapsed: 3.207 s 25.56/3.62 % (10416)------------------------------ 25.56/3.62 % (10416)------------------------------ 25.56/3.68 % (10556)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 26.83/3.80 % (10406)Time limit reached! 26.83/3.80 % (10406)------------------------------ 26.83/3.80 % (10406)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.83/3.80 % (10406)Termination reason: Time limit 26.83/3.80 26.83/3.80 % (10406)Memory used [KB]: 10106 26.83/3.80 % (10406)Time elapsed: 3.406 s 26.83/3.80 % (10406)------------------------------ 26.83/3.80 % (10406)------------------------------ 27.06/3.86 % (10557)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 27.06/3.86 % (10403)Time limit reached! 27.06/3.86 % (10403)------------------------------ 27.06/3.86 % (10403)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.06/3.86 % (10403)Termination reason: Time limit 27.06/3.86 27.06/3.86 % (10403)Memory used [KB]: 13560 27.06/3.86 % (10403)Time elapsed: 3.465 s 27.06/3.86 % (10403)------------------------------ 27.06/3.86 % (10403)------------------------------ 27.69/3.93 % (10558)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 30.40/4.25 % (10420)Time limit reached! 30.40/4.25 % (10420)------------------------------ 30.40/4.25 % (10420)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.40/4.25 % (10420)Termination reason: Time limit 30.40/4.25 30.40/4.25 % (10420)Memory used [KB]: 85073 30.40/4.25 % (10420)Time elapsed: 3.796 s 30.40/4.25 % (10420)------------------------------ 30.40/4.25 % (10420)------------------------------ 30.84/4.35 % (10559)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 31.56/4.36 % (10523)Time limit reached! 31.56/4.36 % (10523)------------------------------ 31.56/4.36 % (10523)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.56/4.37 % (10541)Time limit reached! 31.56/4.37 % (10541)------------------------------ 31.56/4.37 % (10541)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.56/4.37 % (10523)Termination reason: Time limit 31.56/4.37 % (10523)Termination phase: Saturation 31.56/4.37 31.56/4.37 % (10523)Memory used [KB]: 8187 31.56/4.37 % (10523)Time elapsed: 3.100 s 31.56/4.37 % (10523)------------------------------ 31.56/4.37 % (10523)------------------------------ 31.56/4.38 % (10541)Termination reason: Time limit 31.56/4.38 % (10541)Termination phase: Saturation 31.56/4.38 31.56/4.38 % (10541)Memory used [KB]: 19061 31.56/4.38 % (10541)Time elapsed: 2.800 s 31.56/4.38 % (10541)------------------------------ 31.56/4.38 % (10541)------------------------------ 31.84/4.39 % (10560)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 31.84/4.42 % (10561)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 33.03/4.62 % (10409)Time limit reached! 33.03/4.62 % (10409)------------------------------ 33.03/4.62 % (10409)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.03/4.62 % (10409)Termination reason: Time limit 33.03/4.62 % (10409)Termination phase: Saturation 33.03/4.62 33.03/4.62 % (10409)Memory used [KB]: 72280 33.03/4.62 % (10409)Time elapsed: 4.200 s 33.03/4.62 % (10409)------------------------------ 33.03/4.62 % (10409)------------------------------ 34.03/4.69 % (10419)Time limit reached! 34.03/4.69 % (10419)------------------------------ 34.03/4.69 % (10419)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.03/4.69 % (10419)Termination reason: Time limit 34.03/4.69 % (10419)Termination phase: Saturation 34.03/4.69 34.03/4.69 % (10419)Memory used [KB]: 15479 34.03/4.69 % (10419)Time elapsed: 4.300 s 34.03/4.69 % (10419)------------------------------ 34.03/4.69 % (10419)------------------------------ 34.33/4.73 % (10564)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 34.67/4.75 % (10428)Refutation found. Thanks to Tanya! 34.67/4.75 % SZS status Theorem for theBenchmark 34.67/4.77 % SZS output start Proof for theBenchmark 34.67/4.77 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 34.67/4.77 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 34.67/4.77 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 34.67/4.77 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_12, type, powerset: '$i' -> '$i'). 34.67/4.77 tff(func_def_14, type, setunion: '$i' -> '$i'). 34.67/4.77 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_30, type, prop2set: '$o' -> '$i'). 34.67/4.77 tff(func_def_40, type, nonempty: '$i' -> '$o'). 34.67/4.77 tff(func_def_73, type, set2prop: '$i' -> '$o'). 34.67/4.77 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 34.67/4.77 % (10565)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 34.67/4.77 tff(func_def_139, type, regular: '$i' -> '$o'). 34.67/4.77 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_157, type, iskpair: '$i' -> '$o'). 34.67/4.77 tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_181, type, singleton: '$i' -> '$o'). 34.67/4.77 tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o'). 34.67/4.77 tff(func_def_188, type, atmost1p: '$i' -> '$o'). 34.67/4.77 tff(func_def_189, type, atleast2p: '$i' -> '$o'). 34.67/4.77 tff(func_def_190, type, atmost2p: '$i' -> '$o'). 34.67/4.77 tff(func_def_191, type, upairsetp: '$i' -> '$o'). 34.67/4.77 tff(func_def_195, type, kfst: '$i' -> '$i'). 34.67/4.77 tff(func_def_207, type, ksnd: '$i' -> '$i'). 34.67/4.77 tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_226, type, func: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_227, type, funcSet: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_230, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_236, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.67/4.77 tff(func_def_263, type, if: '$i' -> '$o' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_327, type, breln1: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_329, type, breln1Set: '$i' -> '$i'). 34.67/4.77 tff(func_def_331, type, transitive: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_332, type, antisymmetric: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_333, type, reflexive: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_334, type, refltransitive: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_335, type, refllinearorder: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_336, type, reflwellordering: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_342, type, breln1invset: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_346, type, breln1compset: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_364, type, image1: '$i' -> ('$i' -> '$i') -> '$i'). 34.67/4.77 tff(func_def_366, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 34.67/4.77 tff(func_def_369, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 34.67/4.77 tff(func_def_370, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 34.67/4.77 tff(func_def_371, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 34.67/4.77 tff(func_def_372, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 34.67/4.77 tff(func_def_373, type, vIFF: '$o' -> '$o' -> '$o'). 34.67/4.77 tff(func_def_374, type, vAND: '$o' -> '$o' -> '$o'). 34.67/4.77 tff(func_def_375, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 34.67/4.77 tff(func_def_376, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 34.67/4.77 tff(func_def_377, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 34.67/4.77 tff(func_def_378, type, vIMP: '$o' -> '$o' -> '$o'). 34.67/4.77 tff(func_def_379, type, vOR: '$o' -> '$o' -> '$o'). 34.67/4.77 tff(func_def_380, type, vNOT: '$o' -> '$o'). 34.67/4.77 tff(func_def_381, type, sP0: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_383, type, sP2: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_385, type, sP4: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_391, type, sP10: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_394, type, sP13: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_396, type, sP15: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_399, type, sP18: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_405, type, sP24: '$i' -> '$i' -> '$i' -> '$o' -> '$o'). 34.67/4.77 tff(func_def_411, type, sP30: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_412, type, sP31: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_413, type, sP32: '$i' -> '$o'). 34.67/4.77 tff(func_def_414, type, sP33: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_415, type, sP34: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_420, type, sK39: '$i' -> '$i'). 34.67/4.77 tff(func_def_423, type, sK42: '$i' -> '$i'). 34.67/4.77 tff(func_def_426, type, sK45: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_428, type, sK47: '$i' -> '$i'). 34.67/4.77 tff(func_def_430, type, sK49: '$i' -> '$i'). 34.67/4.77 tff(func_def_431, type, sK50: '$i' -> '$i'). 34.67/4.77 tff(func_def_432, type, sK51: '$i' -> '$i'). 34.67/4.77 tff(func_def_433, type, sK52: ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_434, type, sK53: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_451, type, sK70: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_452, type, sK71: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_453, type, sK72: '$i' -> '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_480, type, sK99: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_481, type, sK100: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_482, type, sK101: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_483, type, sK102: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_484, type, sK103: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_492, type, sK111: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_515, type, sK134: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_516, type, sK135: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_517, type, sK136: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_518, type, sK137: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_522, type, sK141: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_523, type, sK142: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_526, type, sK145: '$i' -> '$o'). 34.67/4.77 tff(func_def_528, type, sK147: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_529, type, sK148: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_531, type, sK150: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_534, type, sK153: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_537, type, sK156: '$i' -> '$i'). 34.67/4.77 tff(func_def_538, type, sK157: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_543, type, sK162: '$i' -> '$o'). 34.67/4.77 tff(func_def_545, type, sK164: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_546, type, sK165: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_627, type, sK246: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_628, type, sK247: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_629, type, sK248: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_735, type, sK354: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_739, type, sK358: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_743, type, sK362: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_744, type, sK363: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_801, type, sK420: '$i' -> '$i'). 34.67/4.77 tff(func_def_803, type, sK422: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_806, type, sK425: '$i' -> '$i'). 34.67/4.77 tff(func_def_807, type, sK426: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_813, type, sK432: '$i' -> '$i'). 34.67/4.77 tff(func_def_815, type, sK434: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_828, type, sK447: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_833, type, sK452: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_838, type, sK457: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_839, type, sK458: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_840, type, sK459: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_841, type, sK460: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_846, type, sK465: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_847, type, sK466: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_853, type, sK472: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_854, type, sK473: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_855, type, sK474: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_856, type, sK475: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_874, type, sK493: '$i' -> '$o'). 34.67/4.77 tff(func_def_880, type, sK499: '$i' -> '$o'). 34.67/4.77 tff(func_def_882, type, sK501: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_883, type, sK502: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_887, type, sK506: '$i' -> '$o'). 34.67/4.77 tff(func_def_889, type, sK508: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_890, type, sK509: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_893, type, sK512: '$i' -> '$i'). 34.67/4.77 tff(func_def_894, type, sK513: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_897, type, sK516: '$i' -> '$i'). 34.67/4.77 tff(func_def_898, type, sK517: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_901, type, sK520: '$i' -> '$i'). 34.67/4.77 tff(func_def_902, type, sK521: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_927, type, sK546: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_932, type, sK551: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_937, type, sK556: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_942, type, sK561: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_947, type, sK566: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_950, type, sK569: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_953, type, sK572: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_1026, type, sK645: '$i' -> '$o'). 34.67/4.77 tff(func_def_1028, type, sK647: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1029, type, sK648: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1031, type, sK650: '$i' -> '$o'). 34.67/4.77 tff(func_def_1033, type, sK652: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1035, type, sK654: '$i' -> '$o'). 34.67/4.77 tff(func_def_1036, type, sK655: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1038, type, sK657: '$i' -> '$o'). 34.67/4.77 tff(func_def_1040, type, sK659: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1041, type, sK660: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1047, type, sK666: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1054, type, sK673: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1055, type, sK674: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1154, type, sK773: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1193, type, sK812: '$i' -> '$o'). 34.67/4.77 tff(func_def_1195, type, sK814: '$i' -> '$o'). 34.67/4.77 tff(func_def_1234, type, sK853: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1241, type, sK860: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1244, type, sK863: '$i' -> '$o'). 34.67/4.77 tff(func_def_1245, type, sK864: '$i' -> '$o'). 34.67/4.77 tff(func_def_1246, type, sK865: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1247, type, sK866: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1248, type, sK867: '$i' -> '$o'). 34.67/4.77 tff(func_def_1249, type, sK868: '$i' -> '$o'). 34.67/4.77 tff(func_def_1250, type, sK869: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1251, type, sK870: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1252, type, sK871: '$i' -> '$o'). 34.67/4.77 tff(func_def_1263, type, sK882: '$i' -> '$o'). 34.67/4.77 tff(func_def_1264, type, sK883: '$i' -> '$o'). 34.67/4.77 tff(func_def_1265, type, sK884: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1266, type, sK885: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1267, type, sK886: '$i' -> '$o'). 34.67/4.77 tff(func_def_1278, type, sK897: '$i' -> '$o'). 34.67/4.77 tff(func_def_1280, type, sK899: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1281, type, sK900: '$i' -> '$o'). 34.67/4.77 tff(func_def_1283, type, sK902: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1284, type, sK903: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1285, type, sK904: '$i' -> '$o'). 34.67/4.77 tff(func_def_1287, type, sK906: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1289, type, sK908: '$i' -> '$o'). 34.67/4.77 tff(func_def_1291, type, sK910: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1293, type, sK912: '$i' -> '$o'). 34.67/4.77 tff(func_def_1295, type, sK914: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1299, type, sK918: '$i' -> '$o'). 34.67/4.77 tff(func_def_1301, type, sK920: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1303, type, sK922: '$i' -> '$o'). 34.67/4.77 tff(func_def_1305, type, sK924: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1307, type, sK926: '$i' -> '$o'). 34.67/4.77 tff(func_def_1309, type, sK928: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1311, type, sK930: '$i' -> '$o'). 34.67/4.77 tff(func_def_1313, type, sK932: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1314, type, sK933: '$i' -> '$o'). 34.67/4.77 tff(func_def_1317, type, sK936: '$i' -> '$o'). 34.67/4.77 tff(func_def_1335, type, sK954: '$i' -> '$i'). 34.67/4.77 tff(func_def_1336, type, sK955: '$i' -> '$o'). 34.67/4.77 tff(func_def_1337, type, sK956: '$i' -> '$i'). 34.67/4.77 tff(func_def_1338, type, sK957: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1344, type, sK963: '$o' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1355, type, sK974: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1372, type, sK991: '$i' -> '$o'). 34.67/4.77 tff(func_def_1375, type, sK994: '$i' -> '$i'). 34.67/4.77 tff(func_def_1377, type, sK996: '$i' -> '$o'). 34.67/4.77 tff(func_def_1380, type, sK999: '$i' -> '$i'). 34.67/4.77 tff(func_def_1382, type, sK1001: '$i' -> '$i'). 34.67/4.77 tff(func_def_1385, type, sK1004: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1386, type, sK1005: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1387, type, sK1006: '$i' -> '$o'). 34.67/4.77 tff(func_def_1388, type, sK1007: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1395, type, sK1014: '$i' -> '$o'). 34.67/4.77 tff(func_def_1396, type, sK1015: '$i' -> '$i'). 34.67/4.77 tff(func_def_1397, type, sK1016: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1399, type, sK1018: '$i' -> '$o'). 34.67/4.77 tff(func_def_1402, type, sK1021: '$i' -> '$o'). 34.67/4.77 tff(func_def_1405, type, sK1024: '$i' -> '$o'). 34.67/4.77 tff(func_def_1407, type, sK1026: '$i' -> '$o'). 34.67/4.77 tff(func_def_1409, type, sK1028: '$i' -> '$i'). 34.67/4.77 tff(func_def_1410, type, sK1029: '$i' -> '$i'). 34.67/4.77 tff(func_def_1411, type, sK1030: '$i' -> '$i'). 34.67/4.77 tff(func_def_1412, type, sK1031: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1413, type, sK1032: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1414, type, sK1033: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1415, type, sK1034: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1416, type, sK1035: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1417, type, sK1036: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1418, type, sK1037: '$i' -> '$i'). 34.67/4.77 tff(func_def_1419, type, sK1038: '$i' -> '$i'). 34.67/4.77 tff(func_def_1420, type, sK1039: '$i' -> '$i'). 34.67/4.77 tff(func_def_1421, type, sK1040: '$i' -> '$i'). 34.67/4.77 tff(func_def_1422, type, sK1041: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1423, type, sK1042: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1424, type, sK1043: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1425, type, sK1044: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1426, type, sK1045: '$i' -> '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1428, type, sK1047: '$i' -> '$i'). 34.67/4.77 tff(func_def_1430, type, sK1049: '$i' -> '$i'). 34.67/4.77 tff(func_def_1431, type, sK1050: '$i' -> '$i' -> '$o'). 34.67/4.77 tff(func_def_1433, type, sK1052: '$i' -> '$i'). 34.67/4.77 tff(func_def_1434, type, sK1053: '$i' -> '$i'). 34.67/4.77 tff(func_def_1435, type, sK1054: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1436, type, sK1055: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1437, type, sK1056: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1440, type, sK1059: '$i' -> '$i'). 34.67/4.77 tff(func_def_1445, type, sK1064: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1449, type, sK1068: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1456, type, sK1075: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1458, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 34.67/4.77 tff(func_def_1459, type, sK1077: '$i' -> '$i'). 34.67/4.77 tff(func_def_1460, type, sK1078: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1461, type, sK1079: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1462, type, sK1080: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1463, type, sK1081: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1464, type, sK1082: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1465, type, sK1083: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1466, type, sK1084: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1467, type, sK1085: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1468, type, sK1086: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1469, type, sK1087: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1470, type, sK1088: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1471, type, sK1089: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1472, type, sK1090: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1473, type, sK1091: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1474, type, sK1092: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1475, type, sK1093: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1476, type, sK1094: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1477, type, sK1095: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1478, type, sK1096: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1479, type, sK1097: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1480, type, sK1098: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1481, type, sK1099: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1482, type, sK1100: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1483, type, sK1101: ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1484, type, sK1102: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1485, type, sK1103: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1486, type, sK1104: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1487, type, sK1105: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1488, type, sK1106: '$i' -> ('$i' -> '$o') -> '$i'). 34.67/4.77 tff(func_def_1489, type, sK1107: ('$i' -> '$o') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1490, type, sK1108: ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1491, type, sK1109: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1492, type, sK1110: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1493, type, sK1111: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1494, type, sK1112: '$i' -> '$i'). 34.67/4.77 tff(func_def_1495, type, sK1113: '$i' -> '$i' -> '$i'). 34.67/4.77 tff(func_def_1497, type, sK1115: '$i' -> '$i'). 34.67/4.77 tff(func_def_1498, type, sK1116: '$i' -> '$i'). 34.67/4.77 tff(func_def_1499, type, sK1117: '$i' -> '$i'). 34.67/4.77 tff(func_def_1500, type, sK1118: '$i' -> '$i'). 34.67/4.77 tff(func_def_1501, type, sK1119: '$i' -> '$i' -> '$i'). 34.67/4.80 tff(f314,axiom,( 34.67/4.80 (image1Equiv = ! [X3,X12 : '$i' -> '$i',X1] : (in @ X1 @ (image1 @ X3 @ (^[X2 : '$i'] : X12 @ X2)) <=> ? [X2] : (X12 @ X2 = X1 & in @ X2 @ X3)))), 34.67/4.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',image1Equiv)). 34.67/4.80 tff(f315,conjecture,( 34.67/4.80 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 => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => ! [X3,X12 : '$i' -> '$i',X1] : (in @ X1 @ (image1 @ X3 @ (^[X2 : '$i'] : X12 @ X2)) => ? [X2] : (X12 @ X2 = X1 & in @ X2 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.67/4.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',image1E)). 34.67/4.80 tff(f316,negated_conjecture,( 34.67/4.80 ~(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 => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => ! [X3,X12 : '$i' -> '$i',X1] : (in @ X1 @ (image1 @ X3 @ (^[X2 : '$i'] : X12 @ X2)) => ? [X2] : (X12 @ X2 = X1 & in @ X2 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.67/4.80 inference(negated_conjecture,[],[f315])). 34.67/4.80 tff(f317,plain,( 34.67/4.80 ~(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 => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => ! [X0,X1 : '$i' -> '$i',X2] : (in @ X2 @ (image1 @ X0 @ (^[X3 : '$i'] : X1 @ X3)) => ? [X4] : (X1 @ X4 = X2 & in @ X4 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.67/4.80 inference(rectify,[],[f316])). 34.67/4.80 tff(f318,plain,( 34.67/4.80 ~((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 = $true) => ((binunionIR = 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[X0,X1 : '$i' -> '$i',X2] : ((in @ X2 @ (image1 @ X0 @ X1) = $true) => ? [X4] : (X1 @ X4 = X2 & (in @ X4 @ X0 = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.67/4.80 inference(fool_elimination,[],[f317])). 34.67/4.80 tff(f905,plain,( 34.67/4.80 (image1Equiv = ! [X0,X1 : '$i' -> '$i',X2] : (in @ X2 @ (image1 @ X0 @ (^[X3 : '$i'] : X1 @ X3)) <=> ? [X4] : (X1 @ X4 = X2 & in @ X4 @ X0)))), 34.67/4.80 inference(rectify,[],[f314])). 34.67/4.80 tff(f906,plain,( 34.67/4.80 (image1Equiv = $true) <=> ! [X0,X1 : '$i' -> '$i',X2] : ((in @ X2 @ (image1 @ X0 @ X1) = $true) <=> ? [X4] : (X1 @ X4 = X2 & (in @ X4 @ X0 = $true)))), 34.67/4.80 inference(fool_elimination,[],[f905])). 34.67/4.80 tff(f941,plain,( 34.67/4.80 ~((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 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=> ((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 = $true) => ((binintersectSubset3 = 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[X0,X1 : '$i' -> '$i',X2] : ((in @ X2 @ (image1 @ X0 @ X1) = $true) => ? [X3] : (X1 @ X3 = X2 & (in @ X3 @ X0 = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.67/4.80 inference(rectify,[],[f318])). 34.67/4.80 tff(f942,plain,( 34.67/4.80 (image1Equiv = $true) <=> ! [X0,X1 : '$i' -> '$i',X2] : ((in @ X2 @ (image1 @ X0 @ X1) = $true) <=> ? 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[X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true)) & (in @ X2 @ (image1 @ X0 @ X1) = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $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 = $true)), 34.67/4.80 inference(ennf_transformation,[],[f941])). 34.67/4.80 tff(f997,plain,( 34.67/4.80 ? [X0,X1 : '$i' -> '$i',X2] : (! [X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true)) & (in @ X2 @ (image1 @ X0 @ X1) = $true)) & (image1Equiv = $true) & (image1Ex1 = $true) & (image1Ex = $true) & (woz2B = $true) & (woz2A = $true) & (woz2W = $true) & (woz2Ex = $true) & (breln1unionCommutes = $true) & (breln1unionEcases = $true) & (breln1unionE = $true) & (breln1unionI = $true) & (breln1unionIR = $true) & (breln1unionIL = $true) & (breln1unionprop = $true) & (breln1compEex = $true) & (breln1compE = $true) & (breln1compI = $true) & (breln1compprop = $true) & (breln1invE = $true) & (breln1invI = $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 = $true)), 34.67/4.80 inference(flattening,[],[f996])). 34.67/4.80 tff(f1445,plain,( 34.67/4.80 ? [X0,X1 : '$i' -> '$i',X2] : (! [X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true)) & (in @ X2 @ (image1 @ X0 @ X1) = $true)) => (! [X3] : (sK39 @ X3 != sK40 | (in @ X3 @ sK38 != $true)) & (in @ sK40 @ (image1 @ sK38 @ sK39) = $true))), 34.67/4.80 introduced(choice_axiom,[])). 34.67/4.80 tff(f1446,plain,( 34.67/4.80 (! [X3] : (sK39 @ X3 != sK40 | (in @ X3 @ sK38 != $true)) & (in @ sK40 @ (image1 @ sK38 @ sK39) = $true)) & (image1Equiv = $true) & (image1Ex1 = $true) & (image1Ex = $true) & (woz2B = $true) & (woz2A = $true) & (woz2W = $true) & (woz2Ex = $true) & (breln1unionCommutes = $true) & (breln1unionEcases = $true) & (breln1unionE = $true) & (breln1unionI = $true) & (breln1unionIR = $true) & (breln1unionIL = $true) & (breln1unionprop = $true) & (breln1compEex = $true) & (breln1compE = $true) & (breln1compI = $true) & (breln1compprop = $true) & (breln1invE = $true) & (breln1invI = $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)), 34.67/4.80 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40])],[f997,f1445])). 34.67/4.80 tff(f1447,plain,( 34.67/4.80 ((image1Equiv = $true) | ? [X0,X1 : '$i' -> '$i',X2] : ((! [X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true)) | (in @ X2 @ (image1 @ X0 @ X1) != $true)) & (? [X3] : (X1 @ X3 = X2 & (in @ X3 @ X0 = $true)) | (in @ X2 @ (image1 @ X0 @ X1) = $true)))) & (! [X0,X1 : '$i' -> '$i',X2] : (((in @ X2 @ (image1 @ X0 @ X1) = $true) | ! [X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true))) & (? [X3] : (X1 @ X3 = X2 & (in @ X3 @ X0 = $true)) | (in @ X2 @ (image1 @ X0 @ X1) != $true))) | (image1Equiv != $true))), 34.67/4.80 inference(nnf_transformation,[],[f942])). 34.67/4.80 tff(f1448,plain,( 34.67/4.80 ((image1Equiv = $true) | ? [X0,X1 : '$i' -> '$i',X2] : ((! [X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true)) | (in @ X2 @ (image1 @ X0 @ X1) != $true)) & (? [X4] : (X1 @ X4 = X2 & (in @ X4 @ X0 = $true)) | (in @ X2 @ (image1 @ X0 @ X1) = $true)))) & (! [X5,X6 : '$i' -> '$i',X7] : (((in @ X7 @ (image1 @ X5 @ X6) = $true) | ! [X8] : (X6 @ X8 != X7 | (in @ X8 @ X5 != $true))) & (? [X9] : (X6 @ X9 = X7 & (in @ X9 @ X5 = $true)) | (in @ X7 @ (image1 @ X5 @ X6) != $true))) | (image1Equiv != $true))), 34.67/4.80 inference(rectify,[],[f1447])). 34.67/4.81 tff(f1449,plain,( 34.67/4.81 ? [X0,X1 : '$i' -> '$i',X2] : ((! [X3] : (X1 @ X3 != X2 | (in @ X3 @ X0 != $true)) | (in @ X2 @ (image1 @ X0 @ X1) != $true)) & (? [X4] : (X1 @ X4 = X2 & (in @ X4 @ X0 = $true)) | (in @ X2 @ (image1 @ X0 @ X1) = $true))) => ((! [X3] : (sK42 @ X3 != sK43 | (in @ X3 @ sK41 != $true)) | (in @ sK43 @ (image1 @ sK41 @ sK42) != $true)) & (? [X4] : (sK42 @ X4 = sK43 & (in @ X4 @ sK41 = $true)) | (in @ sK43 @ (image1 @ sK41 @ sK42) = $true)))), 34.67/4.81 introduced(choice_axiom,[])). 34.67/4.81 tff(f1450,plain,( 34.67/4.81 ? [X4] : (sK42 @ X4 = sK43 & (in @ X4 @ sK41 = $true)) => (sK42 @ sK44 = sK43 & (in @ sK44 @ sK41 = $true))), 34.67/4.81 introduced(choice_axiom,[])). 34.67/4.81 tff(f1451,plain,( 34.67/4.81 ! [X7,X6 : '$i' -> '$i',X5] : (? [X9] : (X6 @ X9 = X7 & (in @ X9 @ X5 = $true)) => (X6 @ (sK45 @ X7 @ X6 @ X5) = X7 & (in @ (sK45 @ X7 @ X6 @ X5) @ X5 = $true)))), 34.67/4.81 introduced(choice_axiom,[])). 34.67/4.81 tff(f1452,plain,( 34.67/4.81 ((image1Equiv = $true) | ((! [X3] : (sK42 @ X3 != sK43 | (in @ X3 @ sK41 != $true)) | (in @ sK43 @ (image1 @ sK41 @ sK42) != $true)) & ((sK42 @ sK44 = sK43 & (in @ sK44 @ sK41 = $true)) | (in @ sK43 @ (image1 @ sK41 @ sK42) = $true)))) & (! [X5,X6 : '$i' -> '$i',X7] : (((in @ X7 @ (image1 @ X5 @ X6) = $true) | ! [X8] : (X6 @ X8 != X7 | (in @ X8 @ X5 != $true))) & ((X6 @ (sK45 @ X7 @ X6 @ X5) = X7 & (in @ (sK45 @ X7 @ X6 @ X5) @ X5 = $true)) | (in @ X7 @ (image1 @ X5 @ X6) != $true))) | (image1Equiv != $true))), 34.67/4.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45])],[f1448,f1451,f1450,f1449])). 34.67/4.81 tff(f3376,plain,( 34.67/4.81 (image1Equiv = $true)), 34.67/4.81 inference(cnf_transformation,[],[f1446])). 34.67/4.81 tff(f3377,plain,( 34.67/4.81 (in @ sK40 @ (image1 @ sK38 @ sK39) = $true)), 34.67/4.81 inference(cnf_transformation,[],[f1446])). 34.67/4.81 tff(f3378,plain,( 34.67/4.81 ( ! [X3] : (sK39 @ X3 != sK40 | (in @ X3 @ sK38 != $true)) )), 34.67/4.81 inference(cnf_transformation,[],[f1446])). 34.67/4.81 tff(f3379,plain,( 34.67/4.81 ( ! [X6:'$i' -> '$i',X7,X5] : ((in @ (sK45 @ X7 @ X6 @ X5) @ X5 = $true) | (in @ X7 @ (image1 @ X5 @ X6) != $true) | (image1Equiv != $true)) )), 34.67/4.81 inference(cnf_transformation,[],[f1452])). 34.67/4.81 tff(f3380,plain,( 34.67/4.81 ( ! [X6:'$i' -> '$i',X7,X5] : (X6 @ (sK45 @ X7 @ X6 @ X5) = X7 | (in @ X7 @ (image1 @ X5 @ X6) != $true) | (image1Equiv != $true)) )), 34.67/4.81 inference(cnf_transformation,[],[f1452])). 34.67/4.81 tff(f4849,plain,( 34.67/4.81 ( ! [X6:'$i' -> '$i',X7,X5] : (X6 @ (sK45 @ X7 @ X6 @ X5) = X7 | (in @ X7 @ (image1 @ X5 @ X6) != $true) | ($true != $true)) )), 34.67/4.81 inference(definition_unfolding,[],[f3380,f3376])). 34.67/4.81 tff(f4850,plain,( 34.67/4.81 ( ! [X6:'$i' -> '$i',X7,X5] : ((in @ (sK45 @ X7 @ X6 @ X5) @ X5 = $true) | (in @ X7 @ (image1 @ X5 @ X6) != $true) | ($true != $true)) )), 34.67/4.81 inference(definition_unfolding,[],[f3379,f3376])). 34.67/4.81 tff(f6772,plain,( 34.67/4.81 ( ! [X6:'$i' -> '$i',X7,X5] : ((in @ X7 @ (image1 @ X5 @ X6) != $true) | (in @ (sK45 @ X7 @ X6 @ X5) @ X5 = $true)) )), 34.67/4.81 inference(trivial_inequality_removal,[],[f4850])). 34.67/4.81 tff(f6773,plain,( 34.67/4.81 ( ! [X6:'$i' -> '$i',X7,X5] : ((in @ X7 @ (image1 @ X5 @ X6) != $true) | X6 @ (sK45 @ X7 @ X6 @ X5) = X7) )), 34.67/4.81 inference(trivial_inequality_removal,[],[f4849])). 34.67/4.81 tff(f30373,plain,( 34.67/4.81 ($true != $true) | sK39 @ (sK45 @ sK40 @ sK39 @ sK38) = sK40), 34.67/4.81 inference(superposition,[],[f6773,f3377])). 34.67/4.81 tff(f30374,plain,( 34.67/4.81 sK39 @ (sK45 @ sK40 @ sK39 @ sK38) = sK40), 34.67/4.81 inference(trivial_inequality_removal,[],[f30373])). 34.67/4.81 tff(f30428,plain,( 34.67/4.81 sK40 != sK40 | (in @ (sK45 @ sK40 @ sK39 @ sK38) @ sK38 != $true)), 34.67/4.81 inference(superposition,[],[f3378,f30374])). 34.67/4.81 tff(f30429,plain,( 34.67/4.81 (in @ (sK45 @ sK40 @ sK39 @ sK38) @ sK38 != $true)), 34.67/4.81 inference(trivial_inequality_removal,[],[f30428])). 34.67/4.81 tff(f33270,plain,( 34.67/4.81 ($true != $true) | (in @ (sK45 @ sK40 @ sK39 @ sK38) @ sK38 = $true)), 34.67/4.81 inference(superposition,[],[f6772,f3377])). 34.67/4.81 tff(f33271,plain,( 34.67/4.81 (in @ (sK45 @ sK40 @ sK39 @ sK38) @ sK38 = $true)), 34.67/4.81 inference(trivial_inequality_removal,[],[f33270])). 34.67/4.81 tff(f33313,plain,( 34.67/4.81 $false), 34.67/4.81 inference(global_subsumption,[],[f30429,f33271])). 34.67/4.81 % SZS output end Proof for theBenchmark 34.67/4.81 % (10428)------------------------------ 34.67/4.81 % (10428)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.67/4.81 % (10428)Termination reason: Refutation 34.67/4.81 34.67/4.81 % (10428)Memory used [KB]: 48997 34.67/4.81 % (10428)Time elapsed: 4.343 s 34.67/4.81 % (10428)------------------------------ 34.67/4.81 % (10428)------------------------------ 34.67/4.82 % (10377)Success in time 4.453 s 34.67/4.83 EOF