0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_vampire %s %d 0.09/0.30 % Computer : n011.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 07:06:31 EDT 2020 0.09/0.30 % CPUTime : 0.14/0.35 % (22364)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 0.14/0.35 % (22375)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 0.14/0.36 % (22358)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 0.14/0.36 % (22363)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 0.14/0.36 % (22359)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 0.14/0.36 % (22362)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 0.14/0.36 % (22381)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 0.14/0.37 % (22367)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 0.14/0.37 % (22373)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 0.14/0.37 % (22361)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 0.14/0.37 % (22384)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 0.14/0.37 % (22387)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 0.14/0.38 % (22360)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 0.14/0.38 % (22380)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 0.14/0.38 % (22372)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 0.14/0.38 % (22365)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 0.14/0.39 % (22383)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.14/0.39 % (22382)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 0.14/0.39 % (22386)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 0.14/0.40 % (22385)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 0.14/0.40 % (22379)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 0.14/0.40 % (22376)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 0.14/0.40 % (22374)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 0.14/0.40 % (22378)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 0.14/0.41 % (22369)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 0.14/0.42 % (22366)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 0.14/0.42 % (22371)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 0.14/0.42 % (22368)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 0.14/0.42 % (22370)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 0.14/0.43 % (22377)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 8.77/1.49 % (22372)Time limit reached! 8.77/1.49 % (22372)------------------------------ 8.77/1.49 % (22372)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.77/1.49 % (22372)Termination reason: Time limit 8.77/1.49 % (22372)Termination phase: Property scanning 8.77/1.49 8.77/1.49 % (22372)Memory used [KB]: 3837 8.77/1.49 % (22372)Time elapsed: 0.400 s 8.77/1.49 % (22372)------------------------------ 8.77/1.49 % (22372)------------------------------ 9.31/1.57 % (22388)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 11.89/1.85 % (22383)Time limit reached! 11.89/1.85 % (22383)------------------------------ 11.89/1.85 % (22383)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.89/1.86 % (22383)Termination reason: Time limit 11.89/1.86 % (22383)Termination phase: Saturation 11.89/1.86 11.89/1.86 % (22383)Memory used [KB]: 13688 11.89/1.86 % (22383)Time elapsed: 1.500 s 11.89/1.86 % (22383)------------------------------ 11.89/1.86 % (22383)------------------------------ 12.72/1.96 % (22389)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 12.72/1.96 % (22358)Time limit reached! 12.72/1.96 % (22358)------------------------------ 12.72/1.96 % (22358)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.72/1.98 % (22358)Termination reason: Time limit 12.72/1.98 % (22358)Termination phase: Property scanning 12.72/1.98 12.72/1.98 % (22358)Memory used [KB]: 3837 12.72/1.98 % (22358)Time elapsed: 0.500 s 12.72/1.98 % (22358)------------------------------ 12.72/1.98 % (22358)------------------------------ 12.72/1.99 % (22373)Time limit reached! 12.72/1.99 % (22373)------------------------------ 12.72/1.99 % (22373)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.72/1.99 % (22373)Termination reason: Time limit 12.72/1.99 % (22373)Termination phase: Property scanning 12.72/1.99 12.72/1.99 % (22373)Memory used [KB]: 4093 12.72/1.99 % (22373)Time elapsed: 1.0000 s 12.72/1.99 % (22373)------------------------------ 12.72/1.99 % (22373)------------------------------ 12.72/2.02 % (22361)Time limit reached! 12.72/2.02 % (22361)------------------------------ 12.72/2.02 % (22361)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.72/2.02 % (22361)Termination reason: Time limit 12.72/2.02 % (22361)Termination phase: Clausification 12.72/2.02 12.72/2.02 % (22361)Memory used [KB]: 3965 12.72/2.02 % (22361)Time elapsed: 0.500 s 12.72/2.02 % (22361)------------------------------ 12.72/2.02 % (22361)------------------------------ 13.34/2.03 % (22369)Time limit reached! 13.34/2.03 % (22369)------------------------------ 13.34/2.03 % (22369)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.34/2.03 % (22369)Termination reason: Time limit 13.34/2.03 % (22369)Termination phase: SInE selection 13.34/2.03 13.34/2.03 % (22369)Memory used [KB]: 4093 13.34/2.03 % (22369)Time elapsed: 0.500 s 13.34/2.03 % (22369)------------------------------ 13.34/2.03 % (22369)------------------------------ 13.34/2.04 % (22391)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 13.34/2.06 % (22390)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 13.34/2.06 % (22392)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 13.70/2.13 % (22367)Time limit reached! 13.70/2.13 % (22367)------------------------------ 13.70/2.13 % (22367)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.70/2.13 % (22367)Termination reason: Time limit 13.70/2.13 % (22367)Termination phase: Property scanning 13.70/2.13 13.70/2.13 % (22367)Memory used [KB]: 4093 13.70/2.13 % (22367)Time elapsed: 0.600 s 13.70/2.13 % (22367)------------------------------ 13.70/2.13 % (22367)------------------------------ 13.70/2.14 % (22393)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 14.14/2.16 % (22359)Time limit reached! 14.14/2.16 % (22359)------------------------------ 14.14/2.16 % (22359)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.14/2.16 % (22359)Termination reason: Time limit 14.14/2.16 % (22359)Termination phase: Property scanning 14.14/2.16 14.14/2.16 % (22359)Memory used [KB]: 3837 14.14/2.16 % (22359)Time elapsed: 0.500 s 14.14/2.16 % (22359)------------------------------ 14.14/2.16 % (22359)------------------------------ 14.28/2.18 % (22364)Time limit reached! 14.28/2.18 % (22364)------------------------------ 14.28/2.18 % (22364)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.28/2.18 % (22364)Termination reason: Time limit 14.28/2.18 % (22364)Termination phase: Property scanning 14.28/2.18 14.28/2.18 % (22364)Memory used [KB]: 4093 14.28/2.18 % (22364)Time elapsed: 0.600 s 14.28/2.18 % (22364)------------------------------ 14.28/2.18 % (22364)------------------------------ 14.60/2.22 % (22394)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 14.60/2.23 % (22395)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 14.60/2.27 % (22370)Time limit reached! 14.60/2.27 % (22370)------------------------------ 14.60/2.27 % (22370)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.60/2.27 % (22370)Termination reason: Time limit 14.60/2.27 % (22370)Termination phase: Property scanning 14.60/2.27 14.60/2.27 % (22370)Memory used [KB]: 3837 14.60/2.27 % (22370)Time elapsed: 0.500 s 14.60/2.27 % (22370)------------------------------ 14.60/2.27 % (22370)------------------------------ 15.19/2.28 % (22396)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 15.19/2.28 % (22360)Time limit reached! 15.19/2.28 % (22360)------------------------------ 15.19/2.28 % (22360)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.19/2.28 % (22360)Termination reason: Time limit 15.19/2.28 % (22360)Termination phase: Property scanning 15.19/2.28 15.19/2.28 % (22360)Memory used [KB]: 4221 15.19/2.28 % (22360)Time elapsed: 0.600 s 15.19/2.28 % (22360)------------------------------ 15.19/2.28 % (22360)------------------------------ 15.19/2.34 % (22398)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 15.19/2.34 % (22397)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 25.22/3.55 % (22375)Time limit reached! 25.22/3.55 % (22375)------------------------------ 25.22/3.55 % (22375)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.22/3.55 % (22375)Termination reason: Time limit 25.22/3.55 % (22375)Termination phase: Saturation 25.22/3.55 25.22/3.55 % (22375)Memory used [KB]: 50788 25.22/3.55 % (22375)Time elapsed: 3.213 s 25.22/3.55 % (22375)------------------------------ 25.22/3.55 % (22375)------------------------------ 25.81/3.65 % (22405)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 26.35/3.74 % (22376)Time limit reached! 26.35/3.74 % (22376)------------------------------ 26.35/3.74 % (22376)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.35/3.74 % (22376)Termination reason: Time limit 26.35/3.74 % (22376)Termination phase: Property scanning 26.35/3.74 26.35/3.74 % (22376)Memory used [KB]: 4221 26.35/3.74 % (22376)Time elapsed: 0.900 s 26.35/3.74 % (22376)------------------------------ 26.35/3.74 % (22376)------------------------------ 26.35/3.75 % (22371)Time limit reached! 26.35/3.75 % (22371)------------------------------ 26.35/3.75 % (22371)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.35/3.75 % (22371)Termination reason: Time limit 26.35/3.75 % (22371)Termination phase: Saturation 26.35/3.75 26.35/3.75 % (22371)Memory used [KB]: 12153 26.35/3.75 % (22371)Time elapsed: 1.100 s 26.35/3.75 % (22371)------------------------------ 26.35/3.75 % (22371)------------------------------ 27.13/3.77 % (22406)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 27.13/3.79 % (22380)Time limit reached! 27.13/3.79 % (22380)------------------------------ 27.13/3.79 % (22380)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.13/3.79 % (22380)Termination reason: Time limit 27.13/3.79 % (22380)Termination phase: Saturation 27.13/3.79 27.13/3.79 % (22380)Memory used [KB]: 9338 27.13/3.79 % (22380)Time elapsed: 1.100 s 27.13/3.79 % (22380)------------------------------ 27.13/3.79 % (22380)------------------------------ 27.33/3.82 % (22407)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 27.56/3.89 % (22408)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 27.56/3.90 % (22363)Time limit reached! 27.56/3.90 % (22363)------------------------------ 27.56/3.90 % (22363)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.56/3.90 % (22363)Termination reason: Time limit 27.56/3.90 27.56/3.90 % (22363)Memory used [KB]: 18166 27.56/3.90 % (22363)Time elapsed: 3.562 s 27.56/3.90 % (22363)------------------------------ 27.56/3.90 % (22363)------------------------------ 28.22/3.95 % (22409)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 31.75/4.40 % (22366)Time limit reached! 31.75/4.40 % (22366)------------------------------ 31.75/4.40 % (22366)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.75/4.40 % (22366)Termination reason: Time limit 31.75/4.40 31.75/4.40 % (22366)Memory used [KB]: 8315 31.75/4.40 % (22366)Time elapsed: 4.060 s 31.75/4.40 % (22366)------------------------------ 31.75/4.40 % (22366)------------------------------ 32.55/4.48 % (22410)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 32.98/4.54 % (22365)Time limit reached! 32.98/4.54 % (22365)------------------------------ 32.98/4.54 % (22365)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.98/4.54 % (22365)Termination reason: Time limit 32.98/4.54 32.98/4.54 % (22365)Memory used [KB]: 9210 32.98/4.54 % (22365)Time elapsed: 4.172 s 32.98/4.54 % (22365)------------------------------ 32.98/4.54 % (22365)------------------------------ 33.39/4.58 % (22411)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 33.39/4.63 % (22377)Time limit reached! 33.39/4.63 % (22377)------------------------------ 33.39/4.63 % (22377)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.39/4.63 % (22377)Termination reason: Time limit 33.39/4.63 33.39/4.63 % (22377)Memory used [KB]: 12920 33.39/4.63 % (22377)Time elapsed: 4.271 s 33.39/4.63 % (22377)------------------------------ 33.39/4.63 % (22377)------------------------------ 34.50/4.70 % (22412)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 34.83/4.81 % (22362)Time limit reached! 34.83/4.81 % (22362)------------------------------ 34.83/4.81 % (22362)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.83/4.81 % (22362)Termination reason: Time limit 34.83/4.81 34.83/4.81 % (22362)Memory used [KB]: 13688 34.83/4.81 % (22362)Time elapsed: 4.451 s 34.83/4.81 % (22362)------------------------------ 34.83/4.81 % (22362)------------------------------ 34.83/4.86 % (22413)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 35.83/4.87 % (22378)Time limit reached! 35.83/4.87 % (22378)------------------------------ 35.83/4.87 % (22378)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 35.83/4.87 % (22378)Termination reason: Time limit 35.83/4.87 35.83/4.87 % (22378)Memory used [KB]: 13816 35.83/4.87 % (22378)Time elapsed: 4.531 s 35.83/4.87 % (22378)------------------------------ 35.83/4.87 % (22378)------------------------------ 35.83/4.89 % (22368)Time limit reached! 35.83/4.89 % (22368)------------------------------ 35.83/4.89 % (22368)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 35.83/4.89 % (22368)Termination reason: Time limit 35.83/4.89 35.83/4.89 % (22368)Memory used [KB]: 40297 35.83/4.89 % (22368)Time elapsed: 4.450 s 35.83/4.89 % (22368)------------------------------ 35.83/4.89 % (22368)------------------------------ 36.27/4.93 % (22414)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 36.27/4.95 % (22379)Time limit reached! 36.27/4.95 % (22379)------------------------------ 36.27/4.95 % (22379)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 36.27/4.95 % (22379)Termination reason: Time limit 36.27/4.95 36.27/4.95 % (22379)Memory used [KB]: 85201 36.27/4.95 % (22379)Time elapsed: 4.545 s 36.27/4.95 % (22379)------------------------------ 36.27/4.95 % (22379)------------------------------ 36.69/5.02 % (22415)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 37.29/5.06 % (22416)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 38.88/5.33 % (22409)Time limit reached! 38.88/5.33 % (22409)------------------------------ 38.88/5.33 % (22409)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 38.88/5.34 % (22409)Termination reason: Time limit 38.88/5.34 % (22409)Termination phase: Saturation 38.88/5.34 38.88/5.34 % (22409)Memory used [KB]: 23539 38.88/5.34 % (22409)Time elapsed: 1.400 s 38.88/5.34 % (22409)------------------------------ 38.88/5.34 % (22409)------------------------------ 39.71/5.40 % (22417)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 41.98/5.65 % (22381)Time limit reached! 41.98/5.65 % (22381)------------------------------ 41.98/5.65 % (22381)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.98/5.65 % (22381)Termination reason: Time limit 41.98/5.65 41.98/5.65 % (22381)Memory used [KB]: 24818 41.98/5.65 % (22381)Time elapsed: 5.301 s 41.98/5.65 % (22381)------------------------------ 41.98/5.65 % (22381)------------------------------ 42.21/5.69 % (22387)Time limit reached! 42.21/5.69 % (22387)------------------------------ 42.21/5.69 % (22387)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 42.21/5.69 % (22387)Termination reason: Time limit 42.21/5.69 % (22387)Termination phase: Saturation 42.21/5.69 42.21/5.69 % (22387)Memory used [KB]: 35692 42.21/5.69 % (22387)Time elapsed: 5.200 s 42.21/5.69 % (22387)------------------------------ 42.21/5.69 % (22387)------------------------------ 42.77/5.73 % (22421)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 43.04/5.77 % (22426)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark 44.25/5.98 % (22390)Time limit reached! 44.25/5.98 % (22390)------------------------------ 44.25/5.98 % (22390)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 44.25/5.99 % (22390)Termination reason: Time limit 44.25/5.99 44.25/5.99 % (22390)Memory used [KB]: 18549 44.25/5.99 % (22390)Time elapsed: 3.997 s 44.25/5.99 % (22390)------------------------------ 44.25/5.99 % (22390)------------------------------ 44.69/6.00 % (22398)Time limit reached! 44.69/6.00 % (22398)------------------------------ 44.69/6.00 % (22398)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 44.69/6.00 % (22398)Termination reason: Time limit 44.69/6.00 % (22398)Termination phase: Saturation 44.69/6.00 44.69/6.00 % (22398)Memory used [KB]: 10106 44.69/6.00 % (22398)Time elapsed: 1.100 s 44.69/6.00 % (22398)------------------------------ 44.69/6.00 % (22398)------------------------------ 44.69/6.03 % (22407)Time limit reached! 44.69/6.03 % (22407)------------------------------ 44.69/6.03 % (22407)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 44.69/6.03 % (22407)Termination reason: Time limit 44.69/6.03 % (22407)Termination phase: Property scanning 44.69/6.03 44.69/6.03 % (22407)Memory used [KB]: 4221 44.69/6.03 % (22407)Time elapsed: 0.800 s 44.69/6.03 % (22407)------------------------------ 44.69/6.03 % (22407)------------------------------ 44.69/6.06 % (22441)lrs+1011_8_add=large:csup=on:narr=off: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_10 on theBenchmark 45.42/6.08 % (22440)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0: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_12 on theBenchmark 45.71/6.11 % (22442)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark 45.96/6.20 % (22389)Time limit reached! 45.96/6.20 % (22389)------------------------------ 45.96/6.20 % (22389)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 45.96/6.20 % (22389)Termination reason: Time limit 45.96/6.20 45.96/6.20 % (22389)Memory used [KB]: 5245 45.96/6.20 % (22389)Time elapsed: 4.320 s 45.96/6.20 % (22389)------------------------------ 45.96/6.20 % (22389)------------------------------ 46.62/6.27 % (22443)lrs+1011_8_add=large:csup=on:piset=all: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_31 on theBenchmark 47.56/6.40 % (22397)Time limit reached! 47.56/6.40 % (22397)------------------------------ 47.56/6.40 % (22397)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 47.56/6.40 % (22397)Termination reason: Time limit 47.56/6.40 % (22397)Termination phase: Saturation 47.56/6.40 47.56/6.40 % (22397)Memory used [KB]: 22387 47.56/6.40 % (22397)Time elapsed: 1.300 s 47.56/6.40 % (22397)------------------------------ 47.56/6.40 % (22397)------------------------------ 47.85/6.42 % (22391)Time limit reached! 47.85/6.42 % (22391)------------------------------ 47.85/6.42 % (22391)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 47.85/6.42 % (22391)Termination reason: Time limit 47.85/6.42 47.85/6.42 % (22391)Memory used [KB]: 18677 47.85/6.42 % (22391)Time elapsed: 4.394 s 47.85/6.42 % (22391)------------------------------ 47.85/6.42 % (22391)------------------------------ 48.10/6.46 % (22444)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark 48.10/6.50 % (22445)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off_2 on theBenchmark 48.67/6.56 % (22385)Refutation found. Thanks to Tanya! 48.67/6.56 % SZS status Theorem for theBenchmark 48.67/6.57 % SZS output start Proof for theBenchmark 48.67/6.57 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 48.67/6.57 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 48.67/6.57 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 48.67/6.57 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_12, type, powerset: '$i' -> '$i'). 48.67/6.57 tff(func_def_14, type, setunion: '$i' -> '$i'). 48.67/6.57 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_30, type, prop2set: '$o' -> '$i'). 48.67/6.57 tff(func_def_40, type, nonempty: '$i' -> '$o'). 48.67/6.57 tff(func_def_73, type, set2prop: '$i' -> '$o'). 48.67/6.57 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_139, type, regular: '$i' -> '$o'). 48.67/6.57 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_157, type, iskpair: '$i' -> '$o'). 48.67/6.57 tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_181, type, singleton: '$i' -> '$o'). 48.67/6.57 tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o'). 48.67/6.57 tff(func_def_188, type, atmost1p: '$i' -> '$o'). 48.67/6.57 tff(func_def_189, type, atleast2p: '$i' -> '$o'). 48.67/6.57 tff(func_def_190, type, atmost2p: '$i' -> '$o'). 48.67/6.57 tff(func_def_191, type, upairsetp: '$i' -> '$o'). 48.67/6.57 tff(func_def_195, type, kfst: '$i' -> '$i'). 48.67/6.57 tff(func_def_207, type, ksnd: '$i' -> '$i'). 48.67/6.57 tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_226, type, func: '$i' -> '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_227, type, funcSet: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_230, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_236, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 48.67/6.57 tff(func_def_263, type, if: '$i' -> '$o' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_327, type, breln1: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_329, type, breln1Set: '$i' -> '$i'). 48.67/6.57 tff(func_def_331, type, transitive: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_332, type, antisymmetric: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_333, type, reflexive: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_334, type, refltransitive: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_335, type, refllinearorder: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_336, type, reflwellordering: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_342, type, breln1invset: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_346, type, breln1compset: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_364, type, image1: '$i' -> ('$i' -> '$i') -> '$i'). 48.67/6.57 tff(func_def_368, type, injective: '$i' -> '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_369, type, injFuncSet: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_373, type, surjective: '$i' -> '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_374, type, surjFuncSet: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_377, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 48.67/6.57 tff(func_def_378, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 48.67/6.57 tff(func_def_379, type, vIMP: '$o' -> '$o' -> '$o'). 48.67/6.57 tff(func_def_380, type, vAND: '$o' -> '$o' -> '$o'). 48.67/6.57 tff(func_def_381, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 48.67/6.57 tff(func_def_382, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 48.67/6.57 tff(func_def_383, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 48.67/6.57 tff(func_def_384, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 48.67/6.57 tff(func_def_385, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 48.67/6.57 tff(func_def_386, type, vIFF: '$o' -> '$o' -> '$o'). 48.67/6.57 tff(func_def_387, type, vOR: '$o' -> '$o' -> '$o'). 48.67/6.57 tff(func_def_388, type, vNOT: '$o' -> '$o'). 48.67/6.57 tff(func_def_389, type, sP0: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_390, type, sP1: '$i' -> '$o'). 48.67/6.57 tff(func_def_398, type, sK9: '$i' -> '$i'). 48.67/6.57 tff(func_def_400, type, sK11: '$i' -> '$i'). 48.67/6.57 tff(func_def_402, type, sK13: '$i' -> '$i'). 48.67/6.57 tff(func_def_403, type, sK14: '$i' -> '$o'). 48.67/6.57 tff(func_def_405, type, sK16: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_406, type, sK17: '$i' -> '$o'). 48.67/6.57 tff(func_def_408, type, sK19: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_409, type, sK20: '$i' -> '$o'). 48.67/6.57 tff(func_def_411, type, sK22: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_412, type, sK23: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_414, type, sK25: '$i' -> '$i'). 48.67/6.57 tff(func_def_416, type, sK27: '$i' -> '$i'). 48.67/6.57 tff(func_def_422, type, sK33: '$i' -> '$i'). 48.67/6.57 tff(func_def_424, type, sK35: '$i' -> '$i'). 48.67/6.57 tff(func_def_436, type, sK47: '$i' -> '$o'). 48.67/6.57 tff(func_def_439, type, sK50: '$i' -> '$o'). 48.67/6.57 tff(func_def_442, type, sK53: '$i' -> '$o'). 48.67/6.57 tff(func_def_443, type, sK54: '$i' -> '$i'). 48.67/6.57 tff(func_def_444, type, sK55: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_445, type, sK56: '$i' -> '$o'). 48.67/6.57 tff(func_def_446, type, sK57: '$i' -> '$i'). 48.67/6.57 tff(func_def_447, type, sK58: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_448, type, sK59: '$i' -> '$o'). 48.67/6.57 tff(func_def_449, type, sK60: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_450, type, sK61: '$i' -> '$o'). 48.67/6.57 tff(func_def_453, type, sK64: '$i' -> '$i'). 48.67/6.57 tff(func_def_454, type, sK65: '$i' -> '$i'). 48.67/6.57 tff(func_def_455, type, sK66: '$i' -> '$i'). 48.67/6.57 tff(func_def_456, type, sK67: '$i' -> '$i'). 48.67/6.57 tff(func_def_457, type, sK68: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_458, type, sK69: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_459, type, sK70: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_460, type, sK71: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_461, type, sK72: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_462, type, sK73: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_463, type, sK74: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_464, type, sK75: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_466, type, sK77: '$i' -> '$i'). 48.67/6.57 tff(func_def_467, type, sK78: '$i' -> '$i'). 48.67/6.57 tff(func_def_468, type, sK79: '$i' -> '$i'). 48.67/6.57 tff(func_def_469, type, sK80: '$i' -> '$i'). 48.67/6.57 tff(func_def_470, type, sK81: '$i' -> '$i'). 48.67/6.57 tff(func_def_471, type, sK82: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_507, type, sK118: '$i' -> '$o'). 48.67/6.57 tff(func_def_508, type, sK119: '$i' -> '$o'). 48.67/6.57 tff(func_def_509, type, sK120: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_510, type, sK121: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_526, type, sK137: '$i' -> '$o'). 48.67/6.57 tff(func_def_528, type, sK139: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_530, type, sK141: '$i' -> '$o'). 48.67/6.57 tff(func_def_532, type, sK143: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_534, type, sK145: '$i' -> '$o'). 48.67/6.57 tff(func_def_536, type, sK147: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_538, type, sK149: '$i' -> '$o'). 48.67/6.57 tff(func_def_540, type, sK151: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_543, type, sK154: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_547, type, sK158: '$i' -> '$o'). 48.67/6.57 tff(func_def_549, type, sK160: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_551, type, sK162: '$i' -> '$o'). 48.67/6.57 tff(func_def_553, type, sK164: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_554, type, sK165: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_556, type, sK167: '$i' -> '$o'). 48.67/6.57 tff(func_def_558, type, sK169: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_559, type, sK170: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_562, type, sK173: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_563, type, sK174: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_566, type, sK177: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_569, type, sK180: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_572, type, sK183: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_573, type, sK184: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_575, type, sK186: '$i' -> '$i'). 48.67/6.57 tff(func_def_576, type, sK187: '$i' -> '$i'). 48.67/6.57 tff(func_def_577, type, sK188: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_578, type, sK189: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_579, type, sK190: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_582, type, sK193: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_583, type, sK194: '$i' -> '$o'). 48.67/6.57 tff(func_def_584, type, sK195: '$i' -> '$o'). 48.67/6.57 tff(func_def_585, type, sK196: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_586, type, sK197: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_587, type, sK198: '$i' -> '$o'). 48.67/6.57 tff(func_def_588, type, sK199: '$i' -> '$o'). 48.67/6.57 tff(func_def_589, type, sK200: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_590, type, sK201: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_592, type, sK203: '$i' -> '$o'). 48.67/6.57 tff(func_def_594, type, sK205: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_596, type, sK207: '$i' -> '$o'). 48.67/6.57 tff(func_def_598, type, sK209: '$i' -> '$o'). 48.67/6.57 tff(func_def_604, type, sK215: '$i' -> '$o'). 48.67/6.57 tff(func_def_606, type, sK217: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_607, type, sK218: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_610, type, sK221: '$i' -> '$o'). 48.67/6.57 tff(func_def_612, type, sK223: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_613, type, sK224: ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_623, type, sK234: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_624, type, sK235: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_625, type, sK236: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_626, type, sK237: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_630, type, sK241: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_631, type, sK242: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_672, type, sK283: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_678, type, sK289: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_728, type, sK339: '$o' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_731, type, sK342: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_755, type, sK366: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_756, type, sK367: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_760, type, sK371: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_764, type, sK375: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_950, type, sK561: '$i' -> '$o'). 48.67/6.57 tff(func_def_954, type, sK565: '$i' -> '$o'). 48.67/6.57 tff(func_def_955, type, sK566: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_959, type, sK570: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_963, type, sK574: '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_965, type, sK576: '$i' -> '$i'). 48.67/6.57 tff(func_def_966, type, sK577: '$i' -> '$i'). 48.67/6.57 tff(func_def_967, type, sK578: '$i' -> '$i'). 48.67/6.57 tff(func_def_968, type, sK579: ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_969, type, sK580: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1001, type, sK612: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1003, type, sK614: '$i' -> '$o'). 48.67/6.57 tff(func_def_1005, type, sK616: '$i' -> '$o'). 48.67/6.57 tff(func_def_1007, type, sK618: '$i' -> '$i'). 48.67/6.57 tff(func_def_1031, type, sK642: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1034, type, sK645: '$i' -> '$i'). 48.67/6.57 tff(func_def_1035, type, sK646: ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1038, type, sK649: '$i' -> '$i'). 48.67/6.57 tff(func_def_1039, type, sK650: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1042, type, sK653: '$i' -> '$i'). 48.67/6.57 tff(func_def_1044, type, sK655: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1047, type, sK658: '$i' -> '$i'). 48.67/6.57 tff(func_def_1049, type, sK660: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1052, type, sK663: '$i' -> '$i'). 48.67/6.57 tff(func_def_1053, type, sK664: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1056, type, sK667: '$i' -> '$i'). 48.67/6.57 tff(func_def_1057, type, sK668: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1060, type, sK671: '$i' -> '$i'). 48.67/6.57 tff(func_def_1061, type, sK672: ('$i' -> '$i') -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1063, type, sK674: '$i' -> '$i'). 48.67/6.57 tff(func_def_1094, type, sK705: '$i' -> '$o'). 48.67/6.57 tff(func_def_1096, type, sK707: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1098, type, sK709: '$i' -> '$o'). 48.67/6.57 tff(func_def_1101, type, sK712: '$i' -> '$o'). 48.67/6.57 tff(func_def_1113, type, sK724: '$i' -> '$o'). 48.67/6.57 tff(func_def_1208, type, sK819: '$i' -> '$o'). 48.67/6.57 tff(func_def_1210, type, sK821: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1211, type, sK822: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1215, type, sK826: '$i' -> '$o'). 48.67/6.57 tff(func_def_1217, type, sK828: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1218, type, sK829: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1223, type, sK834: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1224, type, sK835: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1225, type, sK836: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1226, type, sK837: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1231, type, sK842: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1232, type, sK843: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1265, type, sK876: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1272, type, sK883: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1292, type, sK903: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1293, type, sK904: '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1330, type, sK941: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1366, type, sK977: '$i' -> '$o'). 48.67/6.57 tff(func_def_1369, type, sK980: '$i' -> '$o'). 48.67/6.57 tff(func_def_1372, type, sK983: '$i' -> '$i'). 48.67/6.57 tff(func_def_1374, type, sK985: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1379, type, sK990: '$i' -> '$i'). 48.67/6.57 tff(func_def_1382, type, sK993: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1385, type, sK996: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1388, type, sK999: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1411, type, sK1022: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1416, type, sK1027: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1433, type, sK1044: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1438, type, sK1049: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1443, type, sK1054: '$i' -> '$i' -> '$o'). 48.67/6.57 tff(func_def_1447, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 48.67/6.57 tff(func_def_1448, type, sK1058: ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1449, type, sK1059: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1450, type, sK1060: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1451, type, sK1061: '$i' -> ('$i' -> '$i') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1452, type, sK1062: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1453, type, sK1063: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1454, type, sK1064: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1455, type, sK1065: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1456, type, sK1066: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1457, type, sK1067: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1458, type, sK1068: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1459, type, sK1069: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1460, type, sK1070: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1461, type, sK1071: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1462, type, sK1072: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1463, type, sK1073: ('$i' -> '$o') -> '$i' -> '$i'). 48.67/6.57 tff(func_def_1464, type, sK1074: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1465, type, sK1075: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1466, type, sK1076: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1467, type, sK1077: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1468, type, sK1078: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1469, type, sK1079: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1470, type, sK1080: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1471, type, sK1081: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1472, type, sK1082: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1473, type, sK1083: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1474, type, sK1084: '$i' -> ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1475, type, sK1085: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1476, type, sK1086: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1477, type, sK1087: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1478, type, sK1088: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1479, type, sK1089: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1480, type, sK1090: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1481, type, sK1091: ('$i' -> '$o') -> '$i'). 48.67/6.57 tff(func_def_1482, type, sK1092: '$i' -> '$i'). 48.67/6.57 tff(f5,axiom,( 48.67/6.57 (powersetAx = ! [X3,X4] : (in @ X4 @ (powerset @ X3) <=> ! [X1] : (in @ X1 @ X4 => in @ X1 @ X3)))), 48.67/6.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetAx)). 48.67/6.57 tff(f99,axiom,( 48.67/6.57 (sepInPowerset = ! [X3,X0 : '$i' -> '$o'] : in @ (dsetconstr @ X3 @ (^[X1 : '$i'] : X0 @ X1)) @ (powerset @ X3))), 48.67/6.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sepInPowerset)). 48.67/6.57 tff(f320,axiom,( 48.67/6.57 surjective = (^[X3 : '$i', X4 : '$i', X12 : '$i'] : ! [X1] : (in @ X1 @ X4 => ? [X2] : (ap @ X3 @ X4 @ X12 @ X2 = X1 & in @ X2 @ X3)))), 48.67/6.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective)). 48.67/6.57 tff(f321,axiom,( 48.67/6.57 surjFuncSet = (^[X3 : '$i', X4 : '$i'] : dsetconstr @ (funcSet @ X3 @ X4) @ (^[X12 : '$i'] : surjective @ X3 @ X4 @ X12))), 48.67/6.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjFuncSet)). 48.67/6.57 tff(f322,conjecture,( 48.67/6.57 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 => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => ! [X3,X4,X12] : (in @ X12 @ (surjFuncSet @ X3 @ X4) => in @ X12 @ (funcSet @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 48.67/6.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjFuncSetFuncIn)). 48.67/6.57 tff(f323,negated_conjecture,( 48.67/6.57 ~(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 => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => ! [X3,X4,X12] : (in @ X12 @ (surjFuncSet @ X3 @ X4) => in @ X12 @ (funcSet @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 48.67/6.57 inference(negated_conjecture,[],[f322])). 48.67/6.57 tff(f324,plain,( 48.67/6.57 ~(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 => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => ! [X0,X1,X2] : (in @ X2 @ (surjFuncSet @ X0 @ X1) => in @ X2 @ (funcSet @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 48.67/6.57 inference(rectify,[],[f323])). 48.67/6.57 tff(f325,plain,( 48.67/6.57 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ! [X0,X1,X2] : ((in @ X2 @ (surjFuncSet @ X0 @ X1) = $true) => (in @ X2 @ (funcSet @ X0 @ X1) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 48.67/6.58 inference(fool_elimination,[],[f324])). 48.67/6.58 tff(f326,plain,( 48.67/6.58 surjFuncSet = (^[X0 : '$i', X1 : '$i'] : dsetconstr @ (funcSet @ X0 @ X1) @ (^[X2 : '$i'] : surjective @ X0 @ X1 @ X2))), 48.67/6.58 inference(rectify,[],[f321])). 48.67/6.58 tff(f327,plain,( 48.67/6.58 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ funcSet)) @ surjective = surjFuncSet), 48.67/6.58 inference(fool_elimination,[],[f326])). 48.67/6.58 tff(f328,plain,( 48.67/6.58 surjective = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : ! [X3] : (in @ X3 @ X1 => ? [X4] : (ap @ X0 @ X1 @ X2 @ X4 = X3 & in @ X4 @ X0)))), 48.67/6.58 inference(rectify,[],[f320])). 48.67/6.58 tff(f329,plain,( 48.67/6.58 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ ap))))) = surjective), 48.67/6.58 inference(fool_elimination,[],[f328])). 48.67/6.58 tff(f686,plain,( 48.67/6.58 (powersetAx = ! [X0,X1] : (in @ X1 @ (powerset @ X0) <=> ! [X2] : (in @ X2 @ X1 => in @ X2 @ X0)))), 48.67/6.58 inference(rectify,[],[f5])). 48.67/6.58 tff(f687,plain,( 48.67/6.58 (powersetAx = $true) <=> ! [X0,X1] : ((in @ X1 @ (powerset @ X0) = $true) <=> ! [X2] : ((in @ X2 @ X1 = $true) => (in @ X2 @ X0 = $true)))), 48.67/6.58 inference(fool_elimination,[],[f686])). 48.67/6.58 tff(f724,plain,( 48.67/6.58 (sepInPowerset = ! [X0,X1 : '$i' -> '$o'] : in @ (dsetconstr @ X0 @ (^[X2 : '$i'] : X1 @ X2)) @ (powerset @ X0))), 48.67/6.58 inference(rectify,[],[f99])). 48.67/6.58 tff(f725,plain,( 48.67/6.58 (sepInPowerset = $true) <=> ! [X0,X1 : '$i' -> '$o'] : (in @ (dsetconstr @ X0 @ X1) @ (powerset @ X0) = $true)), 48.67/6.58 inference(fool_elimination,[],[f724])). 48.67/6.58 tff(f1017,plain,( 48.67/6.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((in @ X2 @ (funcSet @ X0 @ X1) != $true) & (in @ X2 @ (surjFuncSet @ X0 @ X1) = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $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)), 48.67/6.58 inference(ennf_transformation,[],[f325])). 48.67/6.58 tff(f1018,plain,( 48.67/6.58 ? [X0,X1,X2] : ((in @ X2 @ (funcSet @ X0 @ X1) != $true) & (in @ X2 @ (surjFuncSet @ X0 @ X1) = $true)) & (injFuncSetFuncInj = $true) & (injFuncSetFuncIn = $true) & (injFuncInInjFuncSet = $true) & (image1I = $true) & (image1E = $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)), 48.67/6.58 inference(flattening,[],[f1017])). 48.67/6.58 tff(f1248,plain,( 48.67/6.58 (powersetAx = $true) <=> ! [X0,X1] : ((in @ X1 @ (powerset @ X0) = $true) <=> ! [X2] : ((in @ X2 @ X0 = $true) | (in @ X2 @ X1 != $true)))), 48.67/6.58 inference(ennf_transformation,[],[f687])). 48.67/6.58 tff(f1408,plain,( 48.67/6.58 ? [X0,X1,X2] : ((in @ X2 @ (funcSet @ X0 @ X1) != $true) & (in @ X2 @ (surjFuncSet @ X0 @ X1) = $true)) => ((in @ sK4 @ (funcSet @ sK2 @ sK3) != $true) & (in @ sK4 @ (surjFuncSet @ sK2 @ sK3) = $true))), 48.67/6.58 introduced(choice_axiom,[])). 48.67/6.58 tff(f1409,plain,( 48.67/6.58 ((in @ sK4 @ (funcSet @ sK2 @ sK3) != $true) & (in @ sK4 @ (surjFuncSet @ sK2 @ sK3) = $true)) & (injFuncSetFuncInj = $true) & (injFuncSetFuncIn = $true) & (injFuncInInjFuncSet = $true) & (image1I = $true) & (image1E = $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)), 48.67/6.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f1018,f1408])). 48.67/6.58 tff(f2364,plain,( 48.67/6.58 ((powersetAx = $true) | ? [X0,X1] : ((? [X2] : ((in @ X2 @ X0 != $true) & (in @ X2 @ X1 = $true)) | (in @ X1 @ (powerset @ X0) != $true)) & (! [X2] : ((in @ X2 @ X0 = $true) | (in @ X2 @ X1 != $true)) | (in @ X1 @ (powerset @ X0) = $true)))) & (! [X0,X1] : (((in @ X1 @ (powerset @ X0) = $true) | ? [X2] : ((in @ X2 @ X0 != $true) & (in @ X2 @ X1 = $true))) & (! [X2] : ((in @ X2 @ X0 = $true) | (in @ X2 @ X1 != $true)) | (in @ X1 @ (powerset @ X0) != $true))) | (powersetAx != $true))), 48.67/6.58 inference(nnf_transformation,[],[f1248])). 48.67/6.58 tff(f2365,plain,( 48.67/6.58 ((powersetAx = $true) | ? [X0,X1] : ((? [X2] : ((in @ X2 @ X0 != $true) & (in @ X2 @ X1 = $true)) | (in @ X1 @ (powerset @ X0) != $true)) & (! [X3] : ((in @ X3 @ X0 = $true) | (in @ X3 @ X1 != $true)) | (in @ X1 @ (powerset @ X0) = $true)))) & (! [X4,X5] : (((in @ X5 @ (powerset @ X4) = $true) | ? [X6] : ((in @ X6 @ X4 != $true) & (in @ X6 @ X5 = $true))) & (! [X7] : ((in @ X7 @ X4 = $true) | (in @ X7 @ X5 != $true)) | (in @ X5 @ (powerset @ X4) != $true))) | (powersetAx != $true))), 48.67/6.58 inference(rectify,[],[f2364])). 48.67/6.58 tff(f2366,plain,( 48.67/6.58 ? [X0,X1] : ((? [X2] : ((in @ X2 @ X0 != $true) & (in @ X2 @ X1 = $true)) | (in @ X1 @ (powerset @ X0) != $true)) & (! [X3] : ((in @ X3 @ X0 = $true) | (in @ X3 @ X1 != $true)) | (in @ X1 @ (powerset @ X0) = $true))) => ((? [X2] : ((in @ X2 @ sK571 != $true) & (in @ X2 @ sK572 = $true)) | (in @ sK572 @ (powerset @ sK571) != $true)) & (! [X3] : ((in @ X3 @ sK571 = $true) | (in @ X3 @ sK572 != $true)) | (in @ sK572 @ (powerset @ sK571) = $true)))), 48.67/6.58 introduced(choice_axiom,[])). 48.67/6.58 tff(f2367,plain,( 48.67/6.58 ? [X2] : ((in @ X2 @ sK571 != $true) & (in @ X2 @ sK572 = $true)) => ((in @ sK573 @ sK571 != $true) & (in @ sK573 @ sK572 = $true))), 48.67/6.58 introduced(choice_axiom,[])). 48.67/6.58 tff(f2368,plain,( 48.67/6.58 ! [X5,X4] : (? [X6] : ((in @ X6 @ X4 != $true) & (in @ X6 @ X5 = $true)) => ((in @ (sK574 @ X5 @ X4) @ X4 != $true) & (in @ (sK574 @ X5 @ X4) @ X5 = $true)))), 48.67/6.58 introduced(choice_axiom,[])). 48.67/6.58 tff(f2369,plain,( 48.67/6.58 ((powersetAx = $true) | ((((in @ sK573 @ sK571 != $true) & (in @ sK573 @ sK572 = $true)) | (in @ sK572 @ (powerset @ sK571) != $true)) & (! [X3] : ((in @ X3 @ sK571 = $true) | (in @ X3 @ sK572 != $true)) | (in @ sK572 @ (powerset @ sK571) = $true)))) & (! [X4,X5] : (((in @ X5 @ (powerset @ X4) = $true) | ((in @ (sK574 @ X5 @ X4) @ X4 != $true) & (in @ (sK574 @ X5 @ X4) @ X5 = $true))) & (! [X7] : ((in @ X7 @ X4 = $true) | (in @ X7 @ X5 != $true)) | (in @ X5 @ (powerset @ X4) != $true))) | (powersetAx != $true))), 48.67/6.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK571,sK572,sK573,sK574])],[f2365,f2368,f2367,f2366])). 48.67/6.58 tff(f2446,plain,( 48.67/6.58 ((sepInPowerset = $true) | ? [X0,X1 : '$i' -> '$o'] : (in @ (dsetconstr @ X0 @ X1) @ (powerset @ X0) != $true)) & (! [X0,X1 : '$i' -> '$o'] : (in @ (dsetconstr @ X0 @ X1) @ (powerset @ X0) = $true) | (sepInPowerset != $true))), 48.67/6.58 inference(nnf_transformation,[],[f725])). 48.67/6.58 tff(f2447,plain,( 48.67/6.58 ((sepInPowerset = $true) | ? [X0,X1 : '$i' -> '$o'] : (in @ (dsetconstr @ X0 @ X1) @ (powerset @ X0) != $true)) & (! [X2,X3 : '$i' -> '$o'] : (in @ (dsetconstr @ X2 @ X3) @ (powerset @ X2) = $true) | (sepInPowerset != $true))), 48.67/6.58 inference(rectify,[],[f2446])). 48.67/6.58 tff(f2448,plain,( 48.67/6.58 ? [X0,X1 : '$i' -> '$o'] : (in @ (dsetconstr @ X0 @ X1) @ (powerset @ X0) != $true) => (in @ (dsetconstr @ sK615 @ sK616) @ (powerset @ sK615) != $true)), 48.67/6.58 introduced(choice_axiom,[])). 48.67/6.58 tff(f2449,plain,( 48.67/6.58 ((sepInPowerset = $true) | (in @ (dsetconstr @ sK615 @ sK616) @ (powerset @ sK615) != $true)) & (! [X2,X3 : '$i' -> '$o'] : (in @ (dsetconstr @ X2 @ X3) @ (powerset @ X2) = $true) | (sepInPowerset != $true))), 48.67/6.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK615,sK616])],[f2447,f2448])). 48.67/6.58 tff(f2995,plain,( 48.67/6.58 (powersetAx = $true)), 48.67/6.58 inference(cnf_transformation,[],[f1409])). 48.67/6.58 tff(f3088,plain,( 48.67/6.58 (sepInPowerset = $true)), 48.67/6.58 inference(cnf_transformation,[],[f1409])). 48.67/6.58 tff(f3309,plain,( 48.67/6.58 (in @ sK4 @ (surjFuncSet @ sK2 @ sK3) = $true)), 48.67/6.58 inference(cnf_transformation,[],[f1409])). 48.67/6.58 tff(f3310,plain,( 48.67/6.58 (in @ sK4 @ (funcSet @ sK2 @ sK3) != $true)), 48.67/6.58 inference(cnf_transformation,[],[f1409])). 48.67/6.58 tff(f3313,plain,( 48.67/6.58 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ funcSet)) @ surjective = surjFuncSet), 48.67/6.58 inference(cnf_transformation,[],[f327])). 48.67/6.58 tff(f3314,plain,( 48.67/6.58 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ ap))))) = surjective), 48.67/6.58 inference(cnf_transformation,[],[f329])). 48.67/6.58 tff(f4211,plain,( 48.67/6.58 ( ! [X4,X7,X5] : ((in @ X7 @ X4 = $true) | (in @ X7 @ X5 != $true) | (in @ X5 @ (powerset @ X4) != $true) | (powersetAx != $true)) )), 48.67/6.58 inference(cnf_transformation,[],[f2369])). 48.67/6.58 tff(f4257,plain,( 48.67/6.58 ( ! [X2,X3:'$i' -> '$o'] : ((in @ (dsetconstr @ X2 @ X3) @ (powerset @ X2) = $true) | (sepInPowerset != $true)) )), 48.67/6.58 inference(cnf_transformation,[],[f2449])). 48.67/6.58 tff(f4763,plain,( 48.67/6.58 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ funcSet)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ ap)))))) = surjFuncSet), 48.67/6.58 inference(definition_unfolding,[],[f3313,f3314])). 48.67/6.58 tff(f4764,plain,( 48.67/6.58 (in @ sK4 @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ dsetconstr) @ funcSet)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ ap)))))) @ sK2 @ sK3) = $true)), 48.67/6.58 inference(definition_unfolding,[],[f3309,f4763])). 48.67/6.58 tff(f5643,plain,( 48.67/6.58 ( ! [X4,X7,X5] : ((in @ X7 @ X4 = $true) | (in @ X7 @ X5 != $true) | (in @ X5 @ (powerset @ X4) != $true) | ($true != $true)) )), 48.67/6.58 inference(definition_unfolding,[],[f4211,f2995])). 48.67/6.58 tff(f5685,plain,( 48.67/6.58 ( ! [X2,X3:'$i' -> '$o'] : ((in @ (dsetconstr @ X2 @ X3) @ (powerset @ X2) = $true) | ($true != $true)) )), 48.67/6.58 inference(definition_unfolding,[],[f4257,f3088])). 48.67/6.58 tff(f6440,plain,( 48.67/6.58 ( ! [X2,X3:'$i' -> '$o'] : ((in @ (dsetconstr @ X2 @ X3) @ (powerset @ X2) = $true)) )), 48.67/6.58 inference(trivial_inequality_removal,[],[f5685])). 48.67/6.58 tff(f6461,plain,( 48.67/6.58 ( ! [X4,X7,X5] : ((in @ X5 @ (powerset @ X4) != $true) | (in @ X7 @ X5 != $true) | (in @ X7 @ X4 = $true)) )), 48.67/6.58 inference(trivial_inequality_removal,[],[f5643])). 48.67/6.58 tff(f7054,plain,( 48.67/6.58 (in @ sK4 @ (dsetconstr @ (funcSet @ sK2 @ sK3) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ sK3))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK2)))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (ap @ sK2 @ sK3)))))))) = $true)), 48.67/6.58 inference(combinator_demodulation,[],[f4764])). 48.67/6.58 tff(f7582,plain,( 48.67/6.58 ($true != $true) | (in @ sK4 @ (funcSet @ sK2 @ sK3) = $false)), 48.67/6.58 inference(fool_paramodulation,[],[f3310])). 48.67/6.58 tff(f7584,plain,( 48.67/6.58 (in @ sK4 @ (funcSet @ sK2 @ sK3) = $false)), 48.67/6.58 inference(trivial_inequality_removal,[],[f7582])). 48.67/6.58 tff(f22673,plain,( 48.67/6.58 (in @ sK4 @ (funcSet @ sK2 @ sK3) = $true)), 48.67/6.58 inference(unit_resulting_resolution,[],[f6440,f7054,f6461])). 48.67/6.58 tff(f22826,plain,( 48.67/6.58 ($false = $true)), 48.67/6.58 inference(forward_demodulation,[],[f22673,f7584])). 48.67/6.58 tff(f22827,plain,( 48.67/6.58 $false), 48.67/6.58 inference(trivial_inequality_removal,[],[f22826])). 48.67/6.58 % SZS output end Proof for theBenchmark 48.67/6.58 % (22385)------------------------------ 48.67/6.58 % (22385)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 48.67/6.58 % (22385)Termination reason: Refutation 48.67/6.58 48.67/6.58 % (22385)Memory used [KB]: 32877 48.67/6.58 % (22385)Time elapsed: 6.244 s 48.67/6.58 % (22385)------------------------------ 48.67/6.58 % (22385)------------------------------ 48.67/6.61 % (22357)Success in time 6.302 s 48.67/6.62 EOF