0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d 0.12/0.32 % Computer : n028.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 960 0.12/0.32 % WCLimit : 120 0.12/0.32 % DateTime : Thu Jul 2 07:03:21 EDT 2020 0.12/0.32 % CPUTime : 0.12/0.37 % (18470)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 0.12/0.37 % (18471)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 0.18/0.39 % (18473)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 0.18/0.39 % (18474)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 0.18/0.39 % (18491)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 0.18/0.39 % (18490)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 0.18/0.39 % (18469)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 0.18/0.39 % (18468)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 0.18/0.39 % (18496)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 0.18/0.40 % (18472)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 0.18/0.40 % (18476)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 0.18/0.40 % (18477)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 0.18/0.40 % (18483)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 0.18/0.40 % (18486)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 0.18/0.40 % (18487)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.18/0.40 % (18489)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 0.18/0.40 % (18475)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 0.18/0.41 % (18482)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 0.18/0.41 % (18493)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 0.18/0.41 % (18488)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 0.18/0.41 % (18492)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 0.18/0.41 % (18478)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 0.18/0.41 % (18479)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 0.18/0.41 % (18497)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 0.18/0.42 % (18485)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 0.18/0.42 % (18484)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 0.18/0.42 % (18480)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 0.18/0.42 % (18481)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 0.18/0.42 % (18495)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 0.18/0.42 % (18494)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 10.27/1.68 % (18482)Time limit reached! 10.27/1.68 % (18482)------------------------------ 10.27/1.68 % (18482)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.27/1.69 % (18482)Termination reason: Time limit 10.27/1.69 % (18482)Termination phase: Property scanning 10.27/1.69 10.27/1.69 % (18482)Memory used [KB]: 3454 10.27/1.69 % (18482)Time elapsed: 0.400 s 10.27/1.69 % (18482)------------------------------ 10.27/1.69 % (18482)------------------------------ 10.71/1.77 % (18499)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 11.56/1.87 % (18469)Time limit reached! 11.56/1.87 % (18469)------------------------------ 11.56/1.87 % (18469)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.56/1.88 % (18493)Time limit reached! 11.56/1.88 % (18493)------------------------------ 11.56/1.88 % (18493)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.56/1.88 % (18493)Termination reason: Time limit 11.56/1.88 % (18493)Termination phase: Saturation 11.56/1.88 11.56/1.88 % (18493)Memory used [KB]: 11897 11.56/1.88 % (18493)Time elapsed: 1.500 s 11.56/1.88 % (18493)------------------------------ 11.56/1.88 % (18493)------------------------------ 11.56/1.89 % (18469)Termination reason: Time limit 11.56/1.89 % (18469)Termination phase: Property scanning 11.56/1.89 11.56/1.89 % (18469)Memory used [KB]: 3326 11.56/1.89 % (18469)Time elapsed: 0.500 s 11.56/1.89 % (18469)------------------------------ 11.56/1.89 % (18469)------------------------------ 12.32/1.95 % (18471)Time limit reached! 12.32/1.95 % (18471)------------------------------ 12.32/1.95 % (18471)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.32/1.95 % (18471)Termination reason: Time limit 12.32/1.95 % (18471)Termination phase: Property scanning 12.32/1.95 12.32/1.95 % (18471)Memory used [KB]: 3198 12.32/1.95 % (18471)Time elapsed: 0.500 s 12.32/1.95 % (18471)------------------------------ 12.32/1.95 % (18471)------------------------------ 12.32/1.96 % (18500)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 12.32/1.96 % (18501)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark 12.92/2.01 % (18474)Time limit reached! 12.92/2.01 % (18474)------------------------------ 12.92/2.01 % (18474)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.92/2.02 % (18474)Termination reason: Time limit 12.92/2.02 % (18474)Termination phase: Saturation 12.92/2.02 12.92/2.02 % (18474)Memory used [KB]: 12537 12.92/2.02 % (18474)Time elapsed: 0.600 s 12.92/2.02 % (18474)------------------------------ 12.92/2.02 % (18474)------------------------------ 12.92/2.03 % (18502)lrs+1011_8_add=large:csup=on:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark 12.92/2.05 % (18468)Time limit reached! 12.92/2.05 % (18468)------------------------------ 12.92/2.05 % (18468)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.92/2.05 % (18468)Termination reason: Time limit 12.92/2.05 % (18468)Termination phase: Property scanning 12.92/2.05 12.92/2.05 % (18468)Memory used [KB]: 3326 12.92/2.05 % (18468)Time elapsed: 0.500 s 12.92/2.05 % (18468)------------------------------ 12.92/2.05 % (18468)------------------------------ 12.92/2.06 % (18503)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 13.55/2.10 % (18479)Time limit reached! 13.55/2.10 % (18479)------------------------------ 13.55/2.10 % (18479)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.55/2.10 % (18479)Termination reason: Time limit 13.55/2.10 % (18479)Termination phase: Property scanning 13.55/2.10 13.55/2.10 % (18479)Memory used [KB]: 3454 13.55/2.10 % (18479)Time elapsed: 0.500 s 13.55/2.10 % (18479)------------------------------ 13.55/2.10 % (18479)------------------------------ 13.79/2.12 % (18504)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark 13.79/2.17 % (18505)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 13.79/2.17 % (18480)Time limit reached! 13.79/2.17 % (18480)------------------------------ 13.79/2.17 % (18480)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.79/2.17 % (18480)Termination reason: Time limit 13.79/2.17 % (18480)Termination phase: Function definition elimination 13.79/2.17 13.79/2.17 % (18480)Memory used [KB]: 3326 13.79/2.17 % (18480)Time elapsed: 0.500 s 13.79/2.17 % (18480)------------------------------ 13.79/2.17 % (18480)------------------------------ 13.79/2.21 % (18477)Time limit reached! 13.79/2.21 % (18477)------------------------------ 13.79/2.21 % (18477)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.79/2.21 % (18477)Termination reason: Time limit 13.79/2.21 % (18477)Termination phase: Property scanning 13.79/2.21 13.79/2.21 % (18477)Memory used [KB]: 3326 13.79/2.21 % (18477)Time elapsed: 0.600 s 13.79/2.21 % (18477)------------------------------ 13.79/2.21 % (18477)------------------------------ 13.79/2.22 % (18470)Time limit reached! 13.79/2.22 % (18470)------------------------------ 13.79/2.22 % (18470)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.79/2.22 % (18470)Termination reason: Time limit 13.79/2.22 % (18470)Termination phase: Property scanning 13.79/2.22 13.79/2.22 % (18470)Memory used [KB]: 3454 13.79/2.22 % (18470)Time elapsed: 0.600 s 13.79/2.22 % (18470)------------------------------ 13.79/2.22 % (18470)------------------------------ 13.79/2.23 % (18506)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 14.86/2.28 % (18507)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 14.86/2.28 % (18508)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 18.65/2.72 % (18486)Time limit reached! 18.65/2.72 % (18486)------------------------------ 18.65/2.72 % (18486)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 18.65/2.74 % (18486)Termination reason: Time limit 18.65/2.74 18.65/2.74 % (18486)Memory used [KB]: 11129 18.65/2.74 % (18486)Time elapsed: 2.357 s 18.65/2.74 % (18486)------------------------------ 18.65/2.74 % (18486)------------------------------ 19.25/2.79 % (18509)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark 20.52/2.99 % (18490)Time limit reached! 20.52/2.99 % (18490)------------------------------ 20.52/2.99 % (18490)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 20.52/2.99 % (18490)Termination reason: Time limit 20.52/2.99 % (18490)Termination phase: Saturation 20.52/2.99 20.52/2.99 % (18490)Memory used [KB]: 7931 20.52/2.99 % (18490)Time elapsed: 1.100 s 20.52/2.99 % (18490)------------------------------ 20.52/2.99 % (18490)------------------------------ 21.01/3.06 % (18483)Time limit reached! 21.01/3.06 % (18483)------------------------------ 21.01/3.06 % (18483)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 21.01/3.06 % (18483)Termination reason: Time limit 21.01/3.06 % (18483)Termination phase: Saturation 21.01/3.06 21.01/3.06 % (18483)Memory used [KB]: 13432 21.01/3.06 % (18483)Time elapsed: 1.0000 s 21.01/3.06 % (18483)------------------------------ 21.01/3.06 % (18483)------------------------------ 21.01/3.06 % (18510)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 21.44/3.13 % (18511)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 22.39/3.22 % (18487)Time limit reached! 22.39/3.22 % (18487)------------------------------ 22.39/3.22 % (18487)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.39/3.22 % (18487)Termination reason: Time limit 22.39/3.22 22.39/3.22 % (18487)Memory used [KB]: 10362 22.39/3.22 % (18487)Time elapsed: 2.854 s 22.39/3.22 % (18487)------------------------------ 22.39/3.22 % (18487)------------------------------ 23.27/3.33 % (18512)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 23.63/3.46 % (18472)Time limit reached! 23.63/3.46 % (18472)------------------------------ 23.63/3.46 % (18472)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.63/3.46 % (18472)Termination reason: Time limit 23.63/3.46 23.63/3.46 % (18472)Memory used [KB]: 10874 23.63/3.46 % (18472)Time elapsed: 3.095 s 23.63/3.46 % (18472)------------------------------ 23.63/3.46 % (18472)------------------------------ 24.66/3.50 % (18476)Time limit reached! 24.66/3.50 % (18476)------------------------------ 24.66/3.50 % (18476)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.66/3.52 % (18476)Termination reason: Time limit 24.66/3.52 24.66/3.52 % (18476)Memory used [KB]: 8059 24.66/3.52 % (18476)Time elapsed: 3.126 s 24.66/3.52 % (18476)------------------------------ 24.66/3.52 % (18476)------------------------------ 24.66/3.52 % (18473)Time limit reached! 24.66/3.52 % (18473)------------------------------ 24.66/3.52 % (18473)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.66/3.53 % (18473)Termination reason: Time limit 24.66/3.53 24.66/3.53 % (18473)Memory used [KB]: 15479 24.66/3.53 % (18473)Time elapsed: 3.155 s 24.66/3.53 % (18473)------------------------------ 24.66/3.53 % (18473)------------------------------ 25.16/3.53 % (18481)Time limit reached! 25.16/3.53 % (18481)------------------------------ 25.16/3.53 % (18481)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.16/3.54 % (18513)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 25.16/3.55 % (18481)Termination reason: Time limit 25.16/3.55 25.16/3.55 % (18481)Memory used [KB]: 11129 25.16/3.55 % (18481)Time elapsed: 3.165 s 25.16/3.55 % (18481)------------------------------ 25.16/3.55 % (18481)------------------------------ 25.49/3.58 % (18485)Time limit reached! 25.49/3.58 % (18485)------------------------------ 25.49/3.58 % (18485)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.49/3.59 % (18514)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 25.49/3.60 % (18485)Termination reason: Time limit 25.49/3.60 25.49/3.60 % (18485)Memory used [KB]: 38762 25.49/3.60 % (18485)Time elapsed: 3.218 s 25.49/3.60 % (18485)------------------------------ 25.49/3.60 % (18485)------------------------------ 25.49/3.60 % (18515)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark 25.49/3.63 % (18516)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 25.97/3.66 % (18517)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 26.10/3.70 % (18489)Time limit reached! 26.10/3.70 % (18489)------------------------------ 26.10/3.70 % (18489)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.10/3.70 % (18489)Termination reason: Time limit 26.10/3.70 26.10/3.70 % (18489)Memory used [KB]: 64732 26.10/3.70 % (18489)Time elapsed: 3.264 s 26.10/3.70 % (18489)------------------------------ 26.10/3.70 % (18489)------------------------------ 26.67/3.80 % (18518)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 27.17/3.85 % (18475)Time limit reached! 27.17/3.85 % (18475)------------------------------ 27.17/3.85 % (18475)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.17/3.85 % (18475)Termination reason: Time limit 27.17/3.85 27.17/3.85 % (18475)Memory used [KB]: 6780 27.17/3.85 % (18475)Time elapsed: 3.473 s 27.17/3.85 % (18475)------------------------------ 27.17/3.85 % (18475)------------------------------ 27.47/3.92 % (18519)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 33.30/4.61 % (18478)Time limit reached! 33.30/4.61 % (18478)------------------------------ 33.30/4.61 % (18478)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.30/4.61 % (18478)Termination reason: Time limit 33.30/4.61 % (18478)Termination phase: Saturation 33.30/4.61 33.30/4.61 % (18478)Memory used [KB]: 67035 33.30/4.61 % (18478)Time elapsed: 4.200 s 33.30/4.61 % (18478)------------------------------ 33.30/4.61 % (18478)------------------------------ 34.10/4.70 % (18520)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 34.10/4.72 % (18488)Time limit reached! 34.10/4.72 % (18488)------------------------------ 34.10/4.72 % (18488)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.10/4.72 % (18488)Termination reason: Time limit 34.10/4.72 34.10/4.72 % (18488)Memory used [KB]: 14583 34.10/4.72 % (18488)Time elapsed: 4.327 s 34.10/4.72 % (18488)------------------------------ 34.10/4.72 % (18488)------------------------------ 34.94/4.80 % (18521)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 34.94/4.80 % (18494)Refutation found. Thanks to Tanya! 34.94/4.80 % SZS status Theorem for theBenchmark 34.94/4.80 % SZS output start Proof for theBenchmark 34.94/4.80 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 34.94/4.80 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 34.94/4.80 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 34.94/4.80 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 34.94/4.80 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_12, type, powerset: '$i' -> '$i'). 34.94/4.80 tff(func_def_14, type, setunion: '$i' -> '$i'). 34.94/4.80 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_30, type, prop2set: '$o' -> '$i'). 34.94/4.80 tff(func_def_40, type, nonempty: '$i' -> '$o'). 34.94/4.80 tff(func_def_73, type, set2prop: '$i' -> '$o'). 34.94/4.80 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 34.94/4.80 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 34.94/4.80 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 34.94/4.80 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_139, type, regular: '$i' -> '$o'). 34.94/4.80 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_157, type, iskpair: '$i' -> '$o'). 34.94/4.80 tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_181, type, singleton: '$i' -> '$o'). 34.94/4.80 tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o'). 34.94/4.80 tff(func_def_188, type, atmost1p: '$i' -> '$o'). 34.94/4.80 tff(func_def_189, type, atleast2p: '$i' -> '$o'). 34.94/4.80 tff(func_def_190, type, atmost2p: '$i' -> '$o'). 34.94/4.80 tff(func_def_191, type, upairsetp: '$i' -> '$o'). 34.94/4.80 tff(func_def_195, type, kfst: '$i' -> '$i'). 34.94/4.80 tff(func_def_207, type, ksnd: '$i' -> '$i'). 34.94/4.80 tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o'). 34.94/4.80 tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_226, type, func: '$i' -> '$i' -> '$i' -> '$o'). 34.94/4.80 tff(func_def_227, type, funcSet: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_230, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_236, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.94/4.80 tff(func_def_263, type, if: '$i' -> '$o' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_301, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 34.94/4.80 tff(func_def_304, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 34.94/4.80 tff(func_def_305, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 34.94/4.80 tff(func_def_306, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 34.94/4.80 tff(func_def_307, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 34.94/4.80 tff(func_def_308, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 34.94/4.80 tff(func_def_309, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 34.94/4.80 tff(func_def_310, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 34.94/4.80 tff(func_def_311, type, vIMP: '$o' -> '$o' -> '$o'). 34.94/4.80 tff(func_def_312, type, vAND: '$o' -> '$o' -> '$o'). 34.94/4.80 tff(func_def_313, type, vNOT: '$o' -> '$o'). 34.94/4.80 tff(func_def_314, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 34.94/4.80 tff(func_def_315, type, vIFF: '$o' -> '$o' -> '$o'). 34.94/4.80 tff(func_def_316, type, vOR: '$o' -> '$o' -> '$o'). 34.94/4.80 tff(func_def_323, type, sK6: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_324, type, sK7: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_325, type, sK8: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_326, type, sK9: '$i' -> '$i'). 34.94/4.80 tff(func_def_327, type, sK10: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 34.94/4.80 tff(func_def_328, type, sK11: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 34.94/4.80 tff(func_def_329, type, sK12: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 34.94/4.80 tff(func_def_330, type, sK13: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 34.94/4.80 tff(func_def_331, type, sK14: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 34.94/4.80 tff(func_def_332, type, sK15: '$i' -> '$i'). 34.94/4.80 tff(func_def_333, type, sK16: '$i' -> '$i'). 34.94/4.80 tff(func_def_334, type, sK17: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_335, type, sK18: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_336, type, sK19: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_337, type, sK20: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_338, type, sK21: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_339, type, sK22: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_340, type, sK23: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_341, type, sK24: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_342, type, sK25: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_343, type, sK26: '$i' -> '$i'). 34.94/4.80 tff(func_def_344, type, sK27: '$i' -> '$i'). 34.94/4.80 tff(func_def_345, type, sK28: '$i' -> '$i'). 34.94/4.80 tff(func_def_346, type, sK29: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_347, type, sK30: '$o' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_348, type, sK31: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_349, type, sK32: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_350, type, sK33: '$i' -> '$i'). 34.94/4.80 tff(func_def_351, type, sK34: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_352, type, sK35: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_353, type, sK36: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_354, type, sK37: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_355, type, sK38: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_356, type, sK39: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_357, type, sK40: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_358, type, sK41: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_359, type, sK42: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_360, type, sK43: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_361, type, sK44: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_362, type, sK45: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_363, type, sK46: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_364, type, sK47: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_365, type, sK48: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_366, type, sK49: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_367, type, sK50: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_368, type, sK51: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_369, type, sK52: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_370, type, sK53: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_371, type, sK54: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_372, type, sK55: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_373, type, sK56: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_374, type, sK57: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_375, type, sK58: ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_376, type, sK59: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_377, type, sK60: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_378, type, sK61: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_379, type, sK62: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_380, type, sK63: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_381, type, sK64: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_382, type, sK65: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_383, type, sK66: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_384, type, sK67: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_385, type, sK68: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_386, type, sK69: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_387, type, sK70: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_388, type, sK71: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_389, type, sK72: '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_390, type, sK73: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_391, type, sK74: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_392, type, sK75: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_393, type, sK76: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 34.94/4.80 tff(func_def_394, type, sK77: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_395, type, sK78: '$i' -> ('$i' -> '$o') -> '$i'). 34.94/4.80 tff(func_def_396, type, sK79: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.94/4.80 tff(func_def_397, type, sK80: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.94/4.80 tff(func_def_398, type, sK81: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.94/4.80 tff(func_def_399, type, sK82: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_400, type, sK83: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_401, type, sK84: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_402, type, sK85: ('$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_403, type, sK86: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_404, type, sK87: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_405, type, sK88: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_406, type, sK89: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_407, type, sK90: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_408, type, sK91: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_409, type, sK92: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_410, type, sK93: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_411, type, sK94: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_412, type, sK95: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_413, type, sK96: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_414, type, sK97: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_415, type, sK98: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.94/4.80 tff(func_def_416, type, sK99: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 34.94/4.80 tff(func_def_417, type, sK100: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_418, type, sK101: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_419, type, sK102: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_420, type, sK103: '$i' -> '$i' -> '$i' -> '$i'). 34.94/4.80 tff(func_def_441, type, sK124: '$o' -> '$i'). 34.94/4.80 tff(f101,axiom,( 34.94/4.80 (binunionIL = ! [X3,X4,X1] : (in @ X1 @ X3 => in @ X1 @ (binunion @ X3 @ X4)))), 34.94/4.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionIL)). 34.94/4.80 tff(f108,axiom,( 34.94/4.80 (binintersectI = ! [X3,X4,X1] : (in @ X1 @ X3 => (in @ X1 @ X4 => in @ X1 @ (binintersect @ X3 @ X4))))), 34.94/4.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectI)). 34.94/4.80 tff(f110,axiom,( 34.94/4.80 (binintersectEL = ! [X3,X4,X1] : (in @ X1 @ (binintersect @ X3 @ X4) => in @ X1 @ X3))), 34.94/4.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectEL)). 34.94/4.80 tff(f114,axiom,( 34.94/4.80 (binintersectER = ! [X3,X4,X1] : (in @ X1 @ (binintersect @ X3 @ X4) => in @ X1 @ X4))), 34.94/4.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectER)). 34.94/4.80 tff(f263,conjecture,( 34.94/4.80 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => ! [X3,X11] : (in @ X11 @ (powerset @ X3) => ! [X16] : (in @ X16 @ (powerset @ X3) => ! [X17] : (in @ X17 @ (powerset @ X3) => ! [X1] : (in @ X1 @ X3 => (in @ X1 @ (binintersect @ X11 @ X16) => in @ X1 @ (binintersect @ (binunion @ X11 @ X17) @ (binunion @ X16 @ X17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.94/4.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inIntersectImpInIntersectUnions)). 34.94/4.81 tff(f264,negated_conjecture,( 34.94/4.81 ~(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 => ! [X3,X11] : (in @ X11 @ (powerset @ X3) => ! [X16] : (in @ X16 @ (powerset @ X3) => ! [X17] : (in @ X17 @ (powerset @ X3) => ! [X1] : (in @ X1 @ X3 => (in @ X1 @ (binintersect @ X11 @ X16) => in @ X1 @ (binintersect @ (binunion @ X11 @ X17) @ (binunion @ X16 @ X17)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.94/4.81 inference(negated_conjecture,[],[f263])). 34.94/4.81 tff(f265,plain,( 34.94/4.81 ~(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 => ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => ! [X3] : (in @ X3 @ (powerset @ X0) => ! [X4] : (in @ X4 @ X0 => (in @ X4 @ (binintersect @ X1 @ X2) => in @ X4 @ (binintersect @ (binunion @ X1 @ X3) @ (binunion @ X2 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.94/4.81 inference(rectify,[],[f264])). 34.94/4.81 tff(f266,plain,( 34.94/4.81 ~((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) => ! [X0,X1] : ((in @ X1 @ (powerset @ X0) = $true) => ! [X2] : ((in @ X2 @ (powerset @ X0) = $true) => ! [X3] : ((in @ X3 @ (powerset @ X0) = $true) => ! [X4] : ((in @ X4 @ X0 = $true) => ((in @ X4 @ (binintersect @ X1 @ X2) = $true) => (in @ X4 @ (binintersect @ (binunion @ X1 @ X3) @ (binunion @ X2 @ X3)) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 34.94/4.81 inference(fool_elimination,[],[f265])). 34.94/4.81 tff(f615,plain,( 34.94/4.81 (binintersectI = ! [X0,X1,X2] : (in @ X2 @ X0 => (in @ X2 @ X1 => in @ X2 @ (binintersect @ X0 @ X1))))), 34.94/4.81 inference(rectify,[],[f108])). 34.94/4.81 tff(f616,plain,( 34.94/4.81 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect)))))) = binintersectI)), 34.94/4.81 inference(fool_elimination,[],[f615])). 34.94/4.81 tff(f659,plain,( 34.94/4.81 (binunionIL = ! [X0,X1,X2] : (in @ X2 @ X0 => in @ X2 @ (binunion @ X0 @ X1)))), 34.94/4.81 inference(rectify,[],[f101])). 34.94/4.81 tff(f660,plain,( 34.94/4.81 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binunion))))) = binunionIL)), 34.94/4.81 inference(fool_elimination,[],[f659])). 34.94/4.81 tff(f723,plain,( 34.94/4.81 (binintersectER = ! [X0,X1,X2] : (in @ X2 @ (binintersect @ X0 @ X1) => in @ X2 @ X1))), 34.94/4.81 inference(rectify,[],[f114])). 34.94/4.81 tff(f724,plain,( 34.94/4.81 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in))) = binintersectER)), 34.94/4.81 inference(fool_elimination,[],[f723])). 34.94/4.81 tff(f725,plain,( 34.94/4.81 (binintersectEL = ! [X0,X1,X2] : (in @ X2 @ (binintersect @ X0 @ X1) => in @ X2 @ X0))), 34.94/4.81 inference(rectify,[],[f110])). 34.94/4.83 tff(f726,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in))) = binintersectEL)), 34.94/4.83 inference(fool_elimination,[],[f725])). 34.94/4.83 tff(f785,plain,( 34.94/4.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : (((in @ X4 @ (binintersect @ (binunion @ X1 @ X3) @ (binunion @ X2 @ X3)) != $true) & (in @ X4 @ (binintersect @ X1 @ X2) = $true)) & (in @ X4 @ X0 = $true)) & (in @ X3 @ (powerset @ X0) = $true)) & (in @ X2 @ (powerset @ X0) = $true)) & (in @ X1 @ (powerset @ X0) = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 34.94/4.83 inference(ennf_transformation,[],[f266])). 34.94/4.83 tff(f786,plain,( 34.94/4.83 ? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ X1 @ X3) @ (binunion @ X2 @ X3)) != $true) & (in @ X4 @ (binintersect @ X1 @ X2) = $true) & (in @ X4 @ X0 = $true)) & (in @ X3 @ (powerset @ X0) = $true)) & (in @ X2 @ (powerset @ X0) = $true)) & (in @ X1 @ (powerset @ X0) = $true)) & (inIntersectImpInUnion2 = $true) & (inIntersectImpInUnion = $true) & (binunionTIRcontra = $true) & (binunionTILcontra = $true) & (complementTcontraSubset = $true) & (contraSubsetComplement = $true) & (complementInPowersetComplementIntersect = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (complementTnotintersectT = $true) & (doubleComplementEq = $true) & (doubleComplementSub2 = $true) & (doubleComplementSub1 = $true) & (doubleComplementE1 = $true) & (doubleComplementI1 = $true) & (contrasubsetT3 = $true) & (contrasubsetT2 = $true) & (contrasubsetT1 = $true) & (contrasubsetT = $true) & (binintersectTERcontra = $true) & (binintersectTELcontra = $true) & (complementTE1 = $true) & (complementTI1 = $true) & (powersetTE1 = $true) & (powersetTI1 = $true) & (subsetTI = $true) & (setextT = $true) & (complementT_lem = $true) & (setminusT_lem = $true) & (powersetT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true) & (iftrueorfalse = $true) & (iffalse = $true) & (iftrue = $true) & (theeq = $true) & (ifp = $true) & (ifSingleton = $true) & (iftrueProp2 = $true) & (iftrueProp1 = $true) & (iffalseProp2 = $true) & (iffalseProp1 = $true) & (eta2 = $true) & (beta2 = $true) & (lam2lamEq = $true) & (eta1 = $true) & (beta1 = $true) & (ap2apEq2 = $true) & (ap2apEq1 = $true) & (funcext2 = $true) & (funcext = $true) & (eqbreln = $true) & (subbreln = $true) & (funcGraphProp4 = $true) & (funcextLem = $true) & (funcGraphProp2 = $true) & (funcGraphProp3 = $true) & (funcGraphProp1 = $true) & (ex1E2 = $true) & (brelnall2 = $true) & (brelnall1 = $true) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 34.94/4.83 inference(flattening,[],[f785])). 34.94/4.83 tff(f787,plain,( 34.94/4.83 ? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ X1 @ X3) @ (binunion @ X2 @ X3)) != $true) & (in @ X4 @ (binintersect @ X1 @ X2) = $true) & (in @ X4 @ X0 = $true)) & (in @ X3 @ (powerset @ X0) = $true)) & (in @ X2 @ (powerset @ X0) = $true)) & (in @ X1 @ (powerset @ X0) = $true)) => (? [X2] : (? [X3] : (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ sK1 @ X3) @ (binunion @ X2 @ X3)) != $true) & (in @ X4 @ (binintersect @ sK1 @ X2) = $true) & (in @ X4 @ sK0 = $true)) & (in @ X3 @ (powerset @ sK0) = $true)) & (in @ X2 @ (powerset @ sK0) = $true)) & (in @ sK1 @ (powerset @ sK0) = $true))), 34.94/4.83 introduced(choice_axiom,[])). 34.94/4.83 tff(f788,plain,( 34.94/4.83 ? [X2] : (? [X3] : (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ sK1 @ X3) @ (binunion @ X2 @ X3)) != $true) & (in @ X4 @ (binintersect @ sK1 @ X2) = $true) & (in @ X4 @ sK0 = $true)) & (in @ X3 @ (powerset @ sK0) = $true)) & (in @ X2 @ (powerset @ sK0) = $true)) => (? [X3] : (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ sK1 @ X3) @ (binunion @ sK2 @ X3)) != $true) & (in @ X4 @ (binintersect @ sK1 @ sK2) = $true) & (in @ X4 @ sK0 = $true)) & (in @ X3 @ (powerset @ sK0) = $true)) & (in @ sK2 @ (powerset @ sK0) = $true))), 34.94/4.83 introduced(choice_axiom,[])). 34.94/4.83 tff(f789,plain,( 34.94/4.83 ? [X3] : (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ sK1 @ X3) @ (binunion @ sK2 @ X3)) != $true) & (in @ X4 @ (binintersect @ sK1 @ sK2) = $true) & (in @ X4 @ sK0 = $true)) & (in @ X3 @ (powerset @ sK0) = $true)) => (? [X4] : ((in @ X4 @ (binintersect @ (binunion @ sK1 @ sK3) @ (binunion @ sK2 @ sK3)) != $true) & (in @ X4 @ (binintersect @ sK1 @ sK2) = $true) & (in @ X4 @ sK0 = $true)) & (in @ sK3 @ (powerset @ sK0) = $true))), 34.94/4.83 introduced(choice_axiom,[])). 34.94/4.83 tff(f790,plain,( 34.94/4.83 ? [X4] : ((in @ X4 @ (binintersect @ (binunion @ sK1 @ sK3) @ (binunion @ sK2 @ sK3)) != $true) & (in @ X4 @ (binintersect @ sK1 @ sK2) = $true) & (in @ X4 @ sK0 = $true)) => ((in @ sK4 @ (binintersect @ (binunion @ sK1 @ sK3) @ (binunion @ sK2 @ sK3)) != $true) & (in @ sK4 @ (binintersect @ sK1 @ sK2) = $true) & (in @ sK4 @ sK0 = $true))), 34.94/4.83 introduced(choice_axiom,[])). 34.94/4.83 tff(f791,plain,( 34.94/4.83 (((((in @ sK4 @ (binintersect @ (binunion @ sK1 @ sK3) @ (binunion @ sK2 @ sK3)) != $true) & (in @ sK4 @ (binintersect @ sK1 @ sK2) = $true) & (in @ sK4 @ sK0 = $true)) & (in @ sK3 @ (powerset @ sK0) = $true)) & (in @ sK2 @ (powerset @ sK0) = $true)) & (in @ sK1 @ (powerset @ sK0) = $true)) & (inIntersectImpInUnion2 = $true) & (inIntersectImpInUnion = $true) & (binunionTIRcontra = $true) & (binunionTILcontra = $true) & (complementTcontraSubset = $true) & (contraSubsetComplement = $true) & (complementInPowersetComplementIntersect = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (complementTnotintersectT = $true) & (doubleComplementEq = $true) & (doubleComplementSub2 = $true) & (doubleComplementSub1 = $true) & (doubleComplementE1 = $true) & (doubleComplementI1 = $true) & (contrasubsetT3 = $true) & (contrasubsetT2 = $true) & (contrasubsetT1 = $true) & (contrasubsetT = $true) & (binintersectTERcontra = $true) & (binintersectTELcontra = $true) & (complementTE1 = $true) & (complementTI1 = $true) & (powersetTE1 = $true) & (powersetTI1 = $true) & (subsetTI = $true) & (setextT = $true) & (complementT_lem = $true) & (setminusT_lem = $true) & (powersetT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true) & (iftrueorfalse = $true) & (iffalse = $true) & (iftrue = $true) & (theeq = $true) & (ifp = $true) & (ifSingleton = $true) & (iftrueProp2 = $true) & (iftrueProp1 = $true) & (iffalseProp2 = $true) & (iffalseProp1 = $true) & (eta2 = $true) & (beta2 = $true) & (lam2lamEq = $true) & (eta1 = $true) & (beta1 = $true) & (ap2apEq2 = $true) & (ap2apEq1 = $true) & (funcext2 = $true) & (funcext = $true) & (eqbreln = $true) & (subbreln = $true) & (funcGraphProp4 = $true) & (funcextLem = $true) & (funcGraphProp2 = $true) & (funcGraphProp3 = $true) & (funcGraphProp1 = $true) & (ex1E2 = $true) & (brelnall2 = $true) & (brelnall1 = $true) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 34.94/4.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f786,f790,f789,f788,f787])). 34.94/4.83 tff(f890,plain,( 34.94/4.83 (binunionIL = $true)), 34.94/4.83 inference(cnf_transformation,[],[f791])). 34.94/4.83 tff(f897,plain,( 34.94/4.83 (binintersectI = $true)), 34.94/4.83 inference(cnf_transformation,[],[f791])). 34.94/4.83 tff(f899,plain,( 34.94/4.83 (binintersectEL = $true)), 34.94/4.83 inference(cnf_transformation,[],[f791])). 34.94/4.83 tff(f903,plain,( 34.94/4.83 (binintersectER = $true)), 34.94/4.83 inference(cnf_transformation,[],[f791])). 34.94/4.83 tff(f1054,plain,( 34.94/4.83 (in @ sK4 @ (binintersect @ sK1 @ sK2) = $true)), 34.94/4.83 inference(cnf_transformation,[],[f791])). 34.94/4.83 tff(f1055,plain,( 34.94/4.83 (in @ sK4 @ (binintersect @ (binunion @ sK1 @ sK3) @ (binunion @ sK2 @ sK3)) != $true)), 34.94/4.83 inference(cnf_transformation,[],[f791])). 34.94/4.83 tff(f1202,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in))) = binintersectER)), 34.94/4.83 inference(cnf_transformation,[],[f724])). 34.94/4.83 tff(f1206,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in))) = binintersectEL)), 34.94/4.83 inference(cnf_transformation,[],[f726])). 34.94/4.83 tff(f1208,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect)))))) = binintersectI)), 34.94/4.83 inference(cnf_transformation,[],[f616])). 34.94/4.83 tff(f1215,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binunion))))) = binunionIL)), 34.94/4.83 inference(cnf_transformation,[],[f660])). 34.94/4.83 tff(f1464,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in))) = $true)), 34.94/4.83 inference(definition_unfolding,[],[f1202,f903])). 34.94/4.83 tff(f1468,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in))) = $true)), 34.94/4.83 inference(definition_unfolding,[],[f1206,f899])). 34.94/4.83 tff(f1470,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect)))))) = $true)), 34.94/4.83 inference(definition_unfolding,[],[f1208,f897])). 34.94/4.83 tff(f1477,plain,( 34.94/4.83 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binunion))))) = $true)), 34.94/4.83 inference(definition_unfolding,[],[f1215,f890])). 34.94/4.83 tff(f2673,plain,( 34.94/4.83 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binunion)))) @ X1 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f1477])). 34.94/4.83 tff(f2674,plain,( 34.94/4.83 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binunion)))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2673])). 34.94/4.83 tff(f2675,plain,( 34.94/4.83 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binunion))) @ X2 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2674])). 34.94/4.83 tff(f2676,plain,( 34.94/4.83 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (in @ X1) @ (cCOMB @ binunion @ X2))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2675])). 34.94/4.83 tff(f2677,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (in @ X1) @ (cCOMB @ binunion @ X2)) @ X3 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2676])). 34.94/4.83 tff(f2678,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (in @ X1 @ (binunion @ X3 @ X2)) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2677])). 34.94/4.83 tff(f2679,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((in @ X1 @ (binunion @ X3 @ X2) = $true) | (in @ X1 @ X3 = $false)) )), 34.94/4.83 inference(binary_proxy_clausification,[],[f2678])). 34.94/4.83 tff(f2726,plain,( 34.94/4.83 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ X1 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f1470])). 34.94/4.83 tff(f2727,plain,( 34.94/4.83 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binintersect))))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2726])). 34.94/4.83 tff(f2728,plain,( 34.94/4.83 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binintersect)))) @ X2 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2727])). 34.94/4.83 tff(f2729,plain,( 34.94/4.83 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (in @ X1 @ X2)) @ (bCOMB @ (in @ X1) @ (cCOMB @ binintersect @ X2)))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2728])). 34.94/4.83 tff(f2730,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (in @ X1 @ X2)) @ (bCOMB @ (in @ X1) @ (cCOMB @ binintersect @ X2))) @ X3 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2729])). 34.94/4.83 tff(f2731,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (vIMP @ (in @ X1 @ X2) @ (in @ X1 @ (binintersect @ X3 @ X2))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2730])). 34.94/4.83 tff(f2732,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vIMP @ (in @ X1 @ X2) @ (in @ X1 @ (binintersect @ X3 @ X2)) = $true)) )), 34.94/4.83 inference(binary_proxy_clausification,[],[f2731])). 34.94/4.83 tff(f2733,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X2) = $true) | (in @ X1 @ X2 = $false) | (in @ X1 @ X3 = $false)) )), 34.94/4.83 inference(binary_proxy_clausification,[],[f2732])). 34.94/4.83 tff(f2742,plain,( 34.94/4.83 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in)) @ X1 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f1468])). 34.94/4.83 tff(f2743,plain,( 34.94/4.83 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binintersect)))) @ (in @ X1))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2742])). 34.94/4.83 tff(f2744,plain,( 34.94/4.83 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binintersect)))) @ (in @ X1)) @ X2 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2743])). 34.94/4.83 tff(f2745,plain,( 34.94/4.83 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ binintersect @ X2))) @ (in @ X1)) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2744])). 34.94/4.83 tff(f2746,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ binintersect @ X2))) @ (in @ X1) @ X3 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2745])). 34.94/4.83 tff(f2747,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (binintersect @ X3 @ X2)) @ (in @ X1 @ X3) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2746])). 34.94/4.83 tff(f2748,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X2) = $false) | (in @ X1 @ X3 = $true)) )), 34.94/4.83 inference(binary_proxy_clausification,[],[f2747])). 34.94/4.83 tff(f2765,plain,( 34.94/4.83 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ binintersect))))) @ in)) @ X1 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f1464])). 34.94/4.83 tff(f2766,plain,( 34.94/4.83 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binintersect)))) @ (in @ X1))) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2765])). 34.94/4.83 tff(f2767,plain,( 34.94/4.83 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ binintersect)))) @ (in @ X1)) @ X2 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2766])). 34.94/4.83 tff(f2768,plain,( 34.94/4.83 ( ! [X2,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ binintersect @ X2))) @ (in @ X1 @ X2)) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2767])). 34.94/4.83 tff(f2769,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ binintersect @ X2))) @ (in @ X1 @ X2) @ X3 = $true)) )), 34.94/4.83 inference(pi_clausification,[],[f2768])). 34.94/4.83 tff(f2770,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (binintersect @ X3 @ X2)) @ (in @ X1 @ X2) = $true)) )), 34.94/4.83 inference(combinator_demodulation,[],[f2769])). 34.94/4.83 tff(f2771,plain,( 34.94/4.83 ( ! [X2,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X2) = $false) | (in @ X1 @ X2 = $true)) )), 34.94/4.83 inference(binary_proxy_clausification,[],[f2770])). 34.94/4.83 tff(f7204,plain,( 34.94/4.83 ($false = $true) | (in @ sK4 @ sK1 = $true)), 34.94/4.83 inference(superposition,[],[f2748,f1054])). 34.94/4.83 tff(f7235,plain,( 34.94/4.83 (in @ sK4 @ sK1 = $true)), 34.94/4.83 inference(trivial_inequality_removal,[],[f7204])). 34.94/4.83 tff(f7291,plain,( 34.94/4.83 ($false = $true) | (in @ sK4 @ sK2 = $true)), 34.94/4.83 inference(superposition,[],[f2771,f1054])). 34.94/4.83 tff(f7322,plain,( 34.94/4.83 (in @ sK4 @ sK2 = $true)), 34.94/4.83 inference(trivial_inequality_removal,[],[f7291])). 34.94/4.83 tff(f9156,plain,( 34.94/4.83 spl5_322 <=> (in @ sK4 @ (binunion @ sK2 @ sK3) = $true)), 34.94/4.83 introduced(avatar_definition,[new_symbols(naming,[spl5_322])])). 34.94/4.83 tff(f9157,plain,( 34.94/4.83 (in @ sK4 @ (binunion @ sK2 @ sK3) = $true) | ~spl5_322), 34.94/4.83 inference(avatar_component_clause,[],[f9156])). 34.94/4.83 tff(f9159,plain,( 34.94/4.83 spl5_323 <=> (in @ sK4 @ (binunion @ sK2 @ sK3) != $true)), 34.94/4.83 introduced(avatar_definition,[new_symbols(naming,[spl5_323])])). 34.94/4.83 tff(f9160,plain,( 34.94/4.83 (in @ sK4 @ (binunion @ sK2 @ sK3) != $true) | ~spl5_323), 34.94/4.83 inference(avatar_component_clause,[],[f9159])). 34.94/4.83 tff(f9169,plain,( 34.94/4.83 spl5_326 <=> (in @ sK4 @ (binunion @ sK1 @ sK3) = $true)), 34.94/4.83 introduced(avatar_definition,[new_symbols(naming,[spl5_326])])). 34.94/4.83 tff(f9170,plain,( 34.94/4.83 (in @ sK4 @ (binunion @ sK1 @ sK3) = $true) | ~spl5_326), 34.94/4.83 inference(avatar_component_clause,[],[f9169])). 34.94/4.83 tff(f9172,plain,( 34.94/4.83 spl5_327 <=> (in @ sK4 @ (binunion @ sK1 @ sK3) != $true)), 34.94/4.83 introduced(avatar_definition,[new_symbols(naming,[spl5_327])])). 34.94/4.83 tff(f9173,plain,( 34.94/4.83 (in @ sK4 @ (binunion @ sK1 @ sK3) != $true) | ~spl5_327), 34.94/4.83 inference(avatar_component_clause,[],[f9172])). 34.94/4.83 tff(f12815,plain,( 34.94/4.83 ($true != $true) | (in @ sK4 @ sK2 = $false) | ~spl5_323), 34.94/4.83 inference(superposition,[],[f9160,f2679])). 34.94/4.83 tff(f12834,plain,( 34.94/4.83 (in @ sK4 @ sK2 = $false) | ~spl5_323), 34.94/4.83 inference(trivial_inequality_removal,[],[f12815])). 34.94/4.83 tff(f12839,plain,( 34.94/4.83 ($false = $true) | ~spl5_323), 34.94/4.83 inference(superposition,[],[f12834,f7322])). 34.94/4.83 tff(f12859,plain,( 34.94/4.83 $false | ~spl5_323), 34.94/4.83 inference(trivial_inequality_removal,[],[f12839])). 34.94/4.83 tff(f12860,plain,( 34.94/4.83 spl5_323), 34.94/4.83 inference(avatar_contradiction_clause,[],[f12859])). 34.94/4.83 tff(f12951,plain,( 34.94/4.83 ($true != $true) | (in @ sK4 @ sK1 = $false) | ~spl5_327), 34.94/4.83 inference(superposition,[],[f9173,f2679])). 34.94/4.83 tff(f12970,plain,( 34.94/4.83 (in @ sK4 @ sK1 = $false) | ~spl5_327), 34.94/4.83 inference(trivial_inequality_removal,[],[f12951])). 34.94/4.83 tff(f13001,plain,( 34.94/4.83 ($false = $true) | ~spl5_327), 34.94/4.83 inference(forward_demodulation,[],[f7235,f12970])). 34.94/4.83 tff(f13002,plain,( 34.94/4.83 $false | ~spl5_327), 34.94/4.83 inference(trivial_inequality_removal,[],[f13001])). 34.94/4.83 tff(f13003,plain,( 34.94/4.83 spl5_327), 34.94/4.83 inference(avatar_contradiction_clause,[],[f13002])). 34.94/4.83 tff(f13271,plain,( 34.94/4.83 ($true != $true) | (in @ sK4 @ (binunion @ sK2 @ sK3) = $false) | (in @ sK4 @ (binunion @ sK1 @ sK3) = $false)), 34.94/4.83 inference(superposition,[],[f1055,f2733])). 34.94/4.83 tff(f13296,plain,( 34.94/4.83 (in @ sK4 @ (binunion @ sK2 @ sK3) = $false) | (in @ sK4 @ (binunion @ sK1 @ sK3) = $false)), 34.94/4.83 inference(trivial_inequality_removal,[],[f13271])). 34.94/4.83 tff(f13321,plain,( 34.94/4.83 ($false = $true) | (in @ sK4 @ (binunion @ sK2 @ sK3) = $false) | ~spl5_326), 34.94/4.83 inference(forward_demodulation,[],[f13296,f9170])). 34.94/4.83 tff(f13322,plain,( 34.94/4.83 (in @ sK4 @ (binunion @ sK2 @ sK3) = $false) | ~spl5_326), 34.94/4.83 inference(trivial_inequality_removal,[],[f13321])). 34.94/4.83 tff(f13324,plain,( 34.94/4.83 ($false = $true) | (~spl5_322 | ~spl5_326)), 34.94/4.83 inference(superposition,[],[f13322,f9157])). 34.94/4.83 tff(f13352,plain,( 34.94/4.83 $false | (~spl5_322 | ~spl5_326)), 34.94/4.83 inference(trivial_inequality_removal,[],[f13324])). 34.94/4.83 tff(f13353,plain,( 34.94/4.83 ~spl5_322 | ~spl5_326), 34.94/4.83 inference(avatar_contradiction_clause,[],[f13352])). 34.94/4.83 tff(f13355,plain,( 34.94/4.83 $false), 34.94/4.83 inference(avatar_sat_refutation,[],[f12860,f13003,f13353])). 34.94/4.83 % SZS output end Proof for theBenchmark 34.94/4.83 % (18494)------------------------------ 34.94/4.83 % (18494)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.94/4.83 % (18494)Termination reason: Refutation 34.94/4.83 34.94/4.83 % (18494)Memory used [KB]: 20212 34.94/4.83 % (18494)Time elapsed: 4.446 s 34.94/4.83 % (18494)------------------------------ 34.94/4.83 % (18494)------------------------------ 35.48/4.86 % (18467)Success in time 4.506 s 35.48/4.87 EOF