0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.14/0.34 % Computer : n004.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Thu Jul 2 09:03:13 EDT 2020 0.14/0.35 % CPUTime : 0.21/0.38 % (2464)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 0.21/0.40 % (2466)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 0.21/0.41 % (2488)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 0.21/0.41 % (2480)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 0.21/0.41 % (2462)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 0.21/0.41 % (2461)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 0.21/0.41 % (2463)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 0.21/0.41 % (2465)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 0.21/0.41 % (2472)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 0.21/0.42 % (2484)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 0.21/0.42 % (2476)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 0.21/0.42 % (2467)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 0.21/0.43 % (2468)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 0.21/0.43 % (2483)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 0.21/0.43 % (2478)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 0.21/0.43 % (2477)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 0.21/0.43 % (2490)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 0.21/0.43 % (2479)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 0.21/0.44 % (2489)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 0.21/0.44 % (2485)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 0.21/0.44 % (2475)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 0.21/0.44 % (2486)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 0.21/0.44 % (2487)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.21/0.44 % (2482)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 0.21/0.44 % (2481)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 0.21/0.45 % (2471)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 0.21/0.45 % (2474)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 0.21/0.45 % (2473)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 0.21/0.45 % (2470)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 0.21/0.45 % (2469)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 5.49/1.13 % (2462)Time limit reached! 5.49/1.13 % (2462)------------------------------ 5.49/1.13 % (2462)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.49/1.13 % (2462)Termination reason: Time limit 5.49/1.13 5.49/1.13 % (2462)Memory used [KB]: 13688 5.49/1.13 % (2462)Time elapsed: 0.742 s 5.49/1.13 % (2462)------------------------------ 5.49/1.13 % (2462)------------------------------ 5.49/1.14 % (2563)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 6.41/1.23 % (2464)Time limit reached! 6.41/1.23 % (2464)------------------------------ 6.41/1.23 % (2464)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.41/1.23 % (2464)Termination reason: Time limit 6.41/1.23 6.41/1.23 % (2464)Memory used [KB]: 19573 6.41/1.23 % (2464)Time elapsed: 0.833 s 6.41/1.23 % (2464)------------------------------ 6.41/1.23 % (2464)------------------------------ 6.85/1.26 % (2472)Time limit reached! 6.85/1.26 % (2472)------------------------------ 6.85/1.26 % (2472)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.85/1.26 % (2472)Termination reason: Time limit 6.85/1.26 6.85/1.26 % (2472)Memory used [KB]: 13432 6.85/1.26 % (2472)Time elapsed: 0.878 s 6.85/1.26 % (2472)------------------------------ 6.85/1.26 % (2472)------------------------------ 6.85/1.26 % (2609)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 6.85/1.29 % (2473)Time limit reached! 6.85/1.29 % (2473)------------------------------ 6.85/1.29 % (2473)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.85/1.29 % (2473)Termination reason: Time limit 6.85/1.29 6.85/1.29 % (2473)Memory used [KB]: 8571 6.85/1.29 % (2473)Time elapsed: 0.902 s 6.85/1.29 % (2473)------------------------------ 6.85/1.29 % (2473)------------------------------ 6.85/1.30 % (2461)Time limit reached! 6.85/1.30 % (2461)------------------------------ 6.85/1.30 % (2461)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.85/1.30 % (2461)Termination reason: Time limit 6.85/1.30 6.85/1.30 % (2461)Memory used [KB]: 4477 6.85/1.30 % (2461)Time elapsed: 0.910 s 6.85/1.30 % (2461)------------------------------ 6.85/1.30 % (2461)------------------------------ 6.85/1.30 % (2475)Time limit reached! 6.85/1.30 % (2475)------------------------------ 6.85/1.30 % (2475)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.85/1.30 % (2475)Termination reason: Time limit 6.85/1.30 6.85/1.30 % (2475)Memory used [KB]: 9338 6.85/1.30 % (2475)Time elapsed: 0.908 s 6.85/1.30 % (2475)------------------------------ 6.85/1.30 % (2475)------------------------------ 6.85/1.30 % (2625)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 7.27/1.32 % (2470)Time limit reached! 7.27/1.32 % (2470)------------------------------ 7.27/1.32 % (2470)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.27/1.32 % (2470)Termination reason: Time limit 7.27/1.32 7.27/1.32 % (2470)Memory used [KB]: 13432 7.27/1.32 % (2470)Time elapsed: 0.932 s 7.27/1.32 % (2470)------------------------------ 7.27/1.32 % (2470)------------------------------ 7.27/1.33 % (2660)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 7.27/1.34 % (2648)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 7.27/1.34 % (2479)Time limit reached! 7.27/1.34 % (2479)------------------------------ 7.27/1.34 % (2479)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.56/1.36 % (2463)Time limit reached! 7.56/1.36 % (2463)------------------------------ 7.56/1.36 % (2463)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.56/1.36 % (2479)Termination reason: Time limit 7.56/1.36 7.56/1.36 % (2479)Memory used [KB]: 9083 7.56/1.36 % (2479)Time elapsed: 0.952 s 7.56/1.36 % (2479)------------------------------ 7.56/1.36 % (2479)------------------------------ 7.56/1.36 % (2463)Termination reason: Time limit 7.56/1.36 7.56/1.36 % (2463)Memory used [KB]: 13816 7.56/1.36 % (2463)Time elapsed: 0.971 s 7.56/1.36 % (2463)------------------------------ 7.56/1.36 % (2463)------------------------------ 7.56/1.36 % (2667)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 7.56/1.37 % (2668)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 7.56/1.38 % (2686)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 7.56/1.40 % (2690)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 7.56/1.44 % (2476)Time limit reached! 7.56/1.44 % (2476)------------------------------ 7.56/1.44 % (2476)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.56/1.44 % (2476)Termination reason: Time limit 7.56/1.44 % (2476)Termination phase: Saturation 7.56/1.44 7.56/1.44 % (2476)Memory used [KB]: 15607 7.56/1.44 % (2476)Time elapsed: 1.0000 s 7.56/1.44 % (2476)------------------------------ 7.56/1.44 % (2476)------------------------------ 8.09/1.48 % (2480)Time limit reached! 8.09/1.48 % (2480)------------------------------ 8.09/1.48 % (2480)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.09/1.48 % (2480)Termination reason: Time limit 8.09/1.48 8.09/1.48 % (2480)Memory used [KB]: 10618 8.09/1.48 % (2480)Time elapsed: 1.109 s 8.09/1.48 % (2480)------------------------------ 8.09/1.48 % (2480)------------------------------ 8.33/1.49 % (2706)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 8.33/1.51 % (2474)Time limit reached! 8.33/1.51 % (2474)------------------------------ 8.33/1.51 % (2474)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.33/1.51 % (2474)Termination reason: Time limit 8.33/1.51 8.33/1.51 % (2474)Memory used [KB]: 10874 8.33/1.51 % (2474)Time elapsed: 1.123 s 8.33/1.51 % (2474)------------------------------ 8.33/1.51 % (2474)------------------------------ 8.33/1.54 % (2711)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 8.64/1.57 % (2725)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 10.29/1.72 % (2483)Time limit reached! 10.29/1.72 % (2483)------------------------------ 10.29/1.72 % (2483)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.29/1.72 % (2483)Termination reason: Time limit 10.29/1.72 10.29/1.72 % (2483)Memory used [KB]: 8315 10.29/1.72 % (2483)Time elapsed: 1.329 s 10.29/1.72 % (2483)------------------------------ 10.29/1.72 % (2483)------------------------------ 10.98/1.78 % (2787)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 11.62/1.90 % (2465)Time limit reached! 11.62/1.90 % (2465)------------------------------ 11.62/1.90 % (2465)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.62/1.90 % (2465)Termination reason: Time limit 11.62/1.90 11.62/1.90 % (2465)Memory used [KB]: 11513 11.62/1.90 % (2465)Time elapsed: 1.508 s 11.62/1.90 % (2465)------------------------------ 11.62/1.90 % (2465)------------------------------ 12.18/1.91 % (2486)Time limit reached! 12.18/1.91 % (2486)------------------------------ 12.18/1.91 % (2486)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.18/1.91 % (2486)Termination reason: Time limit 12.18/1.91 12.18/1.91 % (2486)Memory used [KB]: 16375 12.18/1.91 % (2486)Time elapsed: 1.506 s 12.18/1.91 % (2486)------------------------------ 12.18/1.91 % (2486)------------------------------ 12.18/1.95 % (2789)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 12.18/1.96 % (2788)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 12.62/1.99 % (2466)Time limit reached! 12.62/1.99 % (2466)------------------------------ 12.62/1.99 % (2466)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.62/1.99 % (2466)Termination reason: Time limit 12.62/1.99 12.62/1.99 % (2466)Memory used [KB]: 17398 12.62/1.99 % (2466)Time elapsed: 1.604 s 12.62/1.99 % (2466)------------------------------ 12.62/1.99 % (2466)------------------------------ 12.62/2.04 % (2790)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 13.48/2.13 % (2467)Time limit reached! 13.48/2.13 % (2467)------------------------------ 13.48/2.13 % (2467)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.75/2.14 % (2467)Termination reason: Time limit 13.75/2.14 % (2467)Termination phase: Saturation 13.75/2.14 13.75/2.14 % (2467)Memory used [KB]: 31342 13.75/2.14 % (2467)Time elapsed: 0.600 s 13.75/2.14 % (2467)------------------------------ 13.75/2.14 % (2467)------------------------------ 14.10/2.17 % (2791)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 17.49/2.61 % (2711)Time limit reached! 17.49/2.61 % (2711)------------------------------ 17.49/2.61 % (2711)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.49/2.61 % (2711)Termination reason: Time limit 17.49/2.61 17.49/2.61 % (2711)Memory used [KB]: 10618 17.49/2.61 % (2711)Time elapsed: 1.119 s 17.49/2.61 % (2711)------------------------------ 17.49/2.61 % (2711)------------------------------ 17.49/2.63 % (2792)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 18.30/2.73 % (2788)Time limit reached! 18.30/2.73 % (2788)------------------------------ 18.30/2.73 % (2788)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 18.30/2.73 % (2788)Termination reason: Time limit 18.30/2.73 18.30/2.73 % (2788)Memory used [KB]: 4349 18.30/2.73 % (2788)Time elapsed: 0.827 s 18.30/2.73 % (2788)------------------------------ 18.30/2.73 % (2788)------------------------------ 18.89/2.75 % (2706)Time limit reached! 18.89/2.75 % (2706)------------------------------ 18.89/2.75 % (2706)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 18.89/2.76 % (2793)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 18.89/2.76 % (2706)Termination reason: Time limit 18.89/2.76 % (2706)Termination phase: Saturation 18.89/2.76 18.89/2.76 % (2706)Memory used [KB]: 18549 18.89/2.76 % (2706)Time elapsed: 1.300 s 18.89/2.76 % (2706)------------------------------ 18.89/2.76 % (2706)------------------------------ 18.89/2.80 % (2794)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 20.89/3.03 % (2725)Time limit reached! 20.89/3.03 % (2725)------------------------------ 20.89/3.03 % (2725)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 20.89/3.04 % (2725)Termination reason: Time limit 20.89/3.04 % (2725)Termination phase: Saturation 20.89/3.04 20.89/3.04 % (2725)Memory used [KB]: 37867 20.89/3.04 % (2725)Time elapsed: 1.500 s 20.89/3.04 % (2725)------------------------------ 20.89/3.04 % (2725)------------------------------ 21.14/3.08 % (2795)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 23.77/3.41 % (2790)Time limit reached! 23.77/3.41 % (2790)------------------------------ 23.77/3.41 % (2790)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.77/3.41 % (2790)Termination reason: Time limit 23.77/3.41 23.77/3.41 % (2790)Memory used [KB]: 22515 23.77/3.41 % (2790)Time elapsed: 1.408 s 23.77/3.41 % (2790)------------------------------ 23.77/3.41 % (2790)------------------------------ 24.29/3.45 % (2796)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 24.58/3.52 % (2469)Time limit reached! 24.58/3.52 % (2469)------------------------------ 24.58/3.52 % (2469)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.58/3.52 % (2469)Termination reason: Time limit 24.58/3.52 24.58/3.52 % (2469)Memory used [KB]: 17526 24.58/3.52 % (2469)Time elapsed: 3.144 s 24.58/3.52 % (2469)------------------------------ 24.58/3.52 % (2469)------------------------------ 25.35/3.57 % (2797)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 25.35/3.58 % (2478)Time limit reached! 25.35/3.58 % (2478)------------------------------ 25.35/3.58 % (2478)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.35/3.60 % (2478)Termination reason: Time limit 25.35/3.60 25.35/3.60 % (2478)Memory used [KB]: 35948 25.35/3.60 % (2478)Time elapsed: 3.204 s 25.35/3.60 % (2478)------------------------------ 25.35/3.60 % (2478)------------------------------ 25.35/3.62 % (2482)Time limit reached! 25.35/3.62 % (2482)------------------------------ 25.35/3.62 % (2482)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.83/3.64 % (2482)Termination reason: Time limit 25.83/3.64 % (2482)Termination phase: Saturation 25.83/3.64 25.83/3.64 % (2482)Memory used [KB]: 39274 25.83/3.64 % (2482)Time elapsed: 3.200 s 25.83/3.64 % (2482)------------------------------ 25.83/3.64 % (2482)------------------------------ 25.83/3.65 % (2798)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 26.06/3.68 % (2799)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 26.76/3.83 % (2468)Time limit reached! 26.76/3.83 % (2468)------------------------------ 26.76/3.83 % (2468)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.76/3.83 % (2468)Termination reason: Time limit 26.76/3.83 % (2468)Termination phase: Saturation 26.76/3.83 26.76/3.83 % (2468)Memory used [KB]: 13816 26.76/3.83 % (2468)Time elapsed: 3.400 s 26.76/3.83 % (2468)------------------------------ 26.76/3.83 % (2468)------------------------------ 27.57/3.87 % (2800)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark 29.18/4.11 % (2625)Time limit reached! 29.18/4.11 % (2625)------------------------------ 29.18/4.11 % (2625)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.18/4.11 % (2625)Termination reason: Time limit 29.18/4.11 29.18/4.11 % (2625)Memory used [KB]: 19957 29.18/4.11 % (2625)Time elapsed: 2.845 s 29.18/4.11 % (2625)------------------------------ 29.18/4.11 % (2625)------------------------------ 29.88/4.15 % (2801)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_12 on theBenchmark 30.25/4.21 % (2660)Time limit reached! 30.25/4.21 % (2660)------------------------------ 30.25/4.21 % (2660)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.25/4.21 % (2660)Termination reason: Time limit 30.25/4.21 30.25/4.21 % (2660)Memory used [KB]: 56161 30.25/4.21 % (2660)Time elapsed: 2.909 s 30.25/4.21 % (2660)------------------------------ 30.25/4.21 % (2660)------------------------------ 30.25/4.22 % (2796)Time limit reached! 30.25/4.22 % (2796)------------------------------ 30.25/4.22 % (2796)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.25/4.22 % (2796)Termination reason: Time limit 30.25/4.22 30.25/4.22 % (2796)Memory used [KB]: 4349 30.25/4.22 % (2796)Time elapsed: 0.822 s 30.25/4.22 % (2796)------------------------------ 30.25/4.22 % (2796)------------------------------ 30.78/4.26 % (2802)lrs+1011_8_add=large:csup=on:narr=off:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_10 on theBenchmark 30.87/4.27 % (2803)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark 31.67/4.36 % (2609)Time limit reached! 31.67/4.36 % (2609)------------------------------ 31.67/4.36 % (2609)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.67/4.37 % (2609)Termination reason: Time limit 31.67/4.37 31.67/4.37 % (2609)Memory used [KB]: 14200 31.67/4.37 % (2609)Time elapsed: 3.114 s 31.67/4.37 % (2609)------------------------------ 31.67/4.37 % (2609)------------------------------ 31.67/4.40 % (2804)lrs+1011_8_add=large:csup=on:piset=all:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_31 on theBenchmark 32.75/4.52 % (2648)Time limit reached! 32.75/4.52 % (2648)------------------------------ 32.75/4.52 % (2648)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.75/4.52 % (2648)Termination reason: Time limit 32.75/4.52 % (2648)Termination phase: Saturation 32.75/4.52 32.75/4.52 % (2648)Memory used [KB]: 20340 32.75/4.52 % (2648)Time elapsed: 3.200 s 32.75/4.52 % (2648)------------------------------ 32.75/4.52 % (2648)------------------------------ 33.15/4.58 % (2805)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark 33.56/4.61 % (2471)Time limit reached! 33.56/4.61 % (2471)------------------------------ 33.56/4.61 % (2471)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.56/4.61 % (2471)Termination reason: Time limit 33.56/4.61 33.56/4.61 % (2471)Memory used [KB]: 48485 33.56/4.61 % (2471)Time elapsed: 4.208 s 33.56/4.61 % (2471)------------------------------ 33.56/4.61 % (2471)------------------------------ 33.56/4.63 % (2668)Refutation found. Thanks to Tanya! 33.56/4.63 % SZS status Theorem for theBenchmark 33.56/4.63 % SZS output start Proof for theBenchmark 33.56/4.63 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 33.56/4.63 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 33.56/4.63 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 33.56/4.63 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 33.56/4.63 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_12, type, powerset: '$i' -> '$i'). 33.56/4.63 tff(func_def_14, type, setunion: '$i' -> '$i'). 33.56/4.63 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_30, type, prop2set: '$o' -> '$i'). 33.56/4.63 tff(func_def_40, type, nonempty: '$i' -> '$o'). 33.56/4.63 tff(func_def_73, type, set2prop: '$i' -> '$o'). 33.56/4.63 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 33.56/4.63 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 33.56/4.63 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 33.56/4.63 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_139, type, regular: '$i' -> '$o'). 33.56/4.63 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_157, type, iskpair: '$i' -> '$o'). 33.56/4.63 tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_181, type, singleton: '$i' -> '$o'). 33.56/4.63 tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o'). 33.56/4.63 tff(func_def_188, type, atmost1p: '$i' -> '$o'). 33.56/4.63 tff(func_def_189, type, atleast2p: '$i' -> '$o'). 33.56/4.63 tff(func_def_190, type, atmost2p: '$i' -> '$o'). 33.56/4.63 tff(func_def_191, type, upairsetp: '$i' -> '$o'). 33.56/4.63 tff(func_def_195, type, kfst: '$i' -> '$i'). 33.56/4.63 tff(func_def_207, type, ksnd: '$i' -> '$i'). 33.56/4.63 tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o'). 33.56/4.63 tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_219, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 33.56/4.63 tff(func_def_222, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 33.56/4.63 tff(func_def_223, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 33.56/4.63 tff(func_def_224, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 33.56/4.63 tff(func_def_225, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 33.56/4.63 tff(func_def_226, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 33.56/4.63 tff(func_def_227, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 33.56/4.63 tff(func_def_228, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 33.56/4.63 tff(func_def_229, type, vIMP: '$o' -> '$o' -> '$o'). 33.56/4.63 tff(func_def_230, type, vAND: '$o' -> '$o' -> '$o'). 33.56/4.63 tff(func_def_231, type, vNOT: '$o' -> '$o'). 33.56/4.63 tff(func_def_232, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 33.56/4.63 tff(func_def_233, type, vIFF: '$o' -> '$o' -> '$o'). 33.56/4.63 tff(func_def_234, type, vOR: '$o' -> '$o' -> '$o'). 33.56/4.63 tff(func_def_237, type, sK2: '$i' -> '$i' -> '$o'). 33.56/4.63 tff(func_def_240, type, sK5: '$i' -> '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_241, type, sK6: '$i' -> '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_242, type, sK7: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_243, type, sK8: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 33.56/4.63 tff(func_def_244, type, sK9: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_245, type, sK10: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_246, type, sK11: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_247, type, sK12: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_248, type, sK13: '$o' -> '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_249, type, sK14: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_250, type, sK15: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_251, type, sK16: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_252, type, sK17: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_253, type, sK18: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_254, type, sK19: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_255, type, sK20: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_256, type, sK21: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_257, type, sK22: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_258, type, sK23: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_259, type, sK24: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_260, type, sK25: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_261, type, sK26: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_262, type, sK27: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_263, type, sK28: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_264, type, sK29: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_265, type, sK30: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_266, type, sK31: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_267, type, sK32: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_268, type, sK33: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_269, type, sK34: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 33.56/4.63 tff(func_def_270, type, sK35: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 33.56/4.63 tff(func_def_271, type, sK36: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 33.56/4.63 tff(func_def_272, type, sK37: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 33.56/4.63 tff(func_def_273, type, sK38: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 33.56/4.63 tff(func_def_274, type, sK39: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_275, type, sK40: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_276, type, sK41: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_277, type, sK42: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_278, type, sK43: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_279, type, sK44: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_280, type, sK45: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_281, type, sK46: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_282, type, sK47: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_283, type, sK48: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_284, type, sK49: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_285, type, sK50: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_286, type, sK51: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_287, type, sK52: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_288, type, sK53: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_289, type, sK54: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_290, type, sK55: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_291, type, sK56: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_292, type, sK57: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_293, type, sK58: '$i' -> '$i'). 33.56/4.63 tff(func_def_294, type, sK59: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_295, type, sK60: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_296, type, sK61: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_297, type, sK62: '$i' -> '$i' -> '$i' -> '$i'). 33.56/4.63 tff(func_def_298, type, sK63: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_299, type, sK64: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_300, type, sK65: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_301, type, sK66: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_302, type, sK67: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_303, type, sK68: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_304, type, sK69: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_305, type, sK70: '$i' -> '$i'). 33.56/4.63 tff(func_def_306, type, sK71: '$i' -> '$i'). 33.56/4.63 tff(func_def_307, type, sK72: '$i' -> '$i'). 33.56/4.63 tff(func_def_308, type, sK73: '$i' -> '$i'). 33.56/4.63 tff(func_def_309, type, sK74: '$i' -> '$i'). 33.56/4.63 tff(func_def_310, type, sK75: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_311, type, sK76: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_312, type, sK77: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_313, type, sK78: ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_314, type, sK79: '$i' -> ('$i' -> '$o') -> '$i'). 33.56/4.63 tff(func_def_315, type, sK80: '$i' -> '$i'). 33.56/4.63 tff(func_def_316, type, sK81: '$i' -> '$i'). 33.56/4.63 tff(func_def_317, type, sK82: '$i' -> '$i'). 33.56/4.63 tff(func_def_320, type, sK85: '$i' -> '$i' -> '$i'). 33.56/4.63 tff(f14,axiom,( 33.56/4.63 (dsetconstrI = ! [X3,X0 : '$i' -> '$o',X1] : (in @ X1 @ X3 => (X0 @ X1 => in @ X1 @ (dsetconstr @ X3 @ (^[X2 : '$i'] : X0 @ X2)))))), 33.56/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI)). 33.56/4.63 tff(f149,axiom,( 33.56/4.63 (cartprodpairin = ! [X3,X4,X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X4 => in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4))))), 33.56/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodpairin)). 33.56/4.63 tff(f187,axiom,( 33.56/4.63 dpsetconstr = (^[X3 : '$i', X4 : '$i', X0 : '$i' -> '$i' -> '$o'] : dsetconstr @ (cartprod @ X3 @ X4) @ (^[X10 : '$i'] : ? [X1] : (? [X2] : (kpair @ X1 @ X2 = X10 & X0 @ X1 @ X2 & in @ X2 @ X4) & in @ X1 @ X3)))), 33.56/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstr)). 33.56/4.63 tff(f188,conjecture,( 33.56/4.63 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 => ! [X3,X4,X0 : '$i' -> '$i' -> '$o',X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X4 => (X0 @ X1 @ X2 => in @ (kpair @ X1 @ X2) @ (dpsetconstr @ X3 @ X4 @ (^[X8 : '$i', X10 : '$i'] : X0 @ X8 @ X10)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 33.56/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstrI)). 33.56/4.63 tff(f189,negated_conjecture,( 33.56/4.63 ~(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 => ! [X3,X4,X0 : '$i' -> '$i' -> '$o',X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X4 => (X0 @ X1 @ X2 => in @ (kpair @ X1 @ X2) @ (dpsetconstr @ X3 @ X4 @ (^[X8 : '$i', X10 : '$i'] : X0 @ X8 @ X10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 33.56/4.63 inference(negated_conjecture,[],[f188])). 33.56/4.63 tff(f190,plain,( 33.56/4.63 ~(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 => ! [X0,X1,X2 : '$i' -> '$i' -> '$o',X3] : (in @ X3 @ X0 => ! [X4] : (in @ X4 @ X1 => (X2 @ X3 @ X4 => in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ (^[X5 : '$i', X6 : '$i'] : X2 @ X5 @ X6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 33.56/4.63 inference(rectify,[],[f189])). 33.56/4.63 tff(f191,plain,( 33.56/4.63 ~((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 = $true) => ! [X0,X1,X2 : '$i' -> '$i' -> '$o',X3] : ((in @ X3 @ X0 = $true) => ! [X4] : ((in @ X4 @ X1 = $true) => ((X2 @ X3 @ X4 = $true) => (in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ X2) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 33.56/4.63 inference(fool_elimination,[],[f190])). 33.56/4.63 tff(f456,plain,( 33.56/4.63 (dsetconstrI = ! [X0,X1 : '$i' -> '$o',X2] : (in @ X2 @ X0 => (X1 @ X2 => in @ X2 @ (dsetconstr @ X0 @ (^[X3 : '$i'] : X1 @ X3)))))), 33.56/4.63 inference(rectify,[],[f14])). 33.56/4.63 tff(f457,plain,( 33.56/4.63 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr)))))) = dsetconstrI)), 33.56/4.63 inference(fool_elimination,[],[f456])). 33.56/4.63 tff(f474,plain,( 33.56/4.63 (cartprodpairin = ! [X0,X1,X2] : (in @ X2 @ X0 => ! [X3] : (in @ X3 @ X1 => in @ (kpair @ X2 @ X3) @ (cartprod @ X0 @ X1))))), 33.56/4.63 inference(rectify,[],[f149])). 33.56/4.63 tff(f475,plain,( 33.56/4.63 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ (cCOMB @ cartprod))))))) = cartprodpairin)), 33.56/4.63 inference(fool_elimination,[],[f474])). 33.56/4.63 tff(f556,plain,( 33.56/4.63 dpsetconstr = (^[X0 : '$i', X1 : '$i', X2 : '$i' -> '$i' -> '$o'] : dsetconstr @ (cartprod @ X0 @ X1) @ (^[X3 : '$i'] : ? [X4] : (? [X5] : (kpair @ X4 @ X5 = X3 & X2 @ X4 @ X5 & in @ X5 @ X1) & in @ X4 @ X0)))), 33.56/4.63 inference(rectify,[],[f187])). 33.56/4.63 tff(f557,plain,( 33.56/4.63 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ dsetconstr) @ cartprod))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND))) @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair))))))) = dpsetconstr), 33.56/4.63 inference(fool_elimination,[],[f556])). 33.56/4.63 tff(f560,plain,( 33.56/4.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2 : '$i' -> '$i' -> '$o',X3] : (? [X4] : (((in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ X2) != $true) & (X2 @ X3 @ X4 = $true)) & (in @ X4 @ X1 = $true)) & (in @ X3 @ X0 = $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 = $true)), 33.56/4.63 inference(ennf_transformation,[],[f191])). 33.56/4.63 tff(f561,plain,( 33.56/4.63 ? [X0,X1,X2 : '$i' -> '$i' -> '$o',X3] : (? [X4] : ((in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ X2) != $true) & (X2 @ X3 @ X4 = $true) & (in @ X4 @ X1 = $true)) & (in @ X3 @ X0 = $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 = $true)), 33.56/4.64 inference(flattening,[],[f560])). 33.56/4.64 tff(f562,plain,( 33.56/4.64 ? [X0,X1,X2 : '$i' -> '$i' -> '$o',X3] : (? [X4] : ((in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ X2) != $true) & (X2 @ X3 @ X4 = $true) & (in @ X4 @ X1 = $true)) & (in @ X3 @ X0 = $true)) => (? [X4] : ((in @ (kpair @ sK3 @ X4) @ (dpsetconstr @ sK0 @ sK1 @ sK2) != $true) & (sK2 @ sK3 @ X4 = $true) & (in @ X4 @ sK1 = $true)) & (in @ sK3 @ sK0 = $true))), 33.56/4.64 introduced(choice_axiom,[])). 33.56/4.64 tff(f563,plain,( 33.56/4.64 ? [X4] : ((in @ (kpair @ sK3 @ X4) @ (dpsetconstr @ sK0 @ sK1 @ sK2) != $true) & (sK2 @ sK3 @ X4 = $true) & (in @ X4 @ sK1 = $true)) => ((in @ (kpair @ sK3 @ sK4) @ (dpsetconstr @ sK0 @ sK1 @ sK2) != $true) & (sK2 @ sK3 @ sK4 = $true) & (in @ sK4 @ sK1 = $true))), 33.56/4.64 introduced(choice_axiom,[])). 33.56/4.64 tff(f564,plain,( 33.56/4.64 (((in @ (kpair @ sK3 @ sK4) @ (dpsetconstr @ sK0 @ sK1 @ sK2) != $true) & (sK2 @ sK3 @ sK4 = $true) & (in @ sK4 @ sK1 = $true)) & (in @ sK3 @ sK0 = $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)), 33.56/4.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f561,f563,f562])). 33.56/4.64 tff(f577,plain,( 33.56/4.64 (dsetconstrI = $true)), 33.56/4.64 inference(cnf_transformation,[],[f564])). 33.56/4.64 tff(f711,plain,( 33.56/4.64 (cartprodpairin = $true)), 33.56/4.64 inference(cnf_transformation,[],[f564])). 33.56/4.64 tff(f746,plain,( 33.56/4.64 (in @ sK3 @ sK0 = $true)), 33.56/4.64 inference(cnf_transformation,[],[f564])). 33.56/4.64 tff(f747,plain,( 33.56/4.64 (in @ sK4 @ sK1 = $true)), 33.56/4.64 inference(cnf_transformation,[],[f564])). 33.56/4.64 tff(f748,plain,( 33.56/4.64 (sK2 @ sK3 @ sK4 = $true)), 33.56/4.64 inference(cnf_transformation,[],[f564])). 33.56/4.64 tff(f749,plain,( 33.56/4.64 (in @ (kpair @ sK3 @ sK4) @ (dpsetconstr @ sK0 @ sK1 @ sK2) != $true)), 33.56/4.64 inference(cnf_transformation,[],[f564])). 33.56/4.64 tff(f885,plain,( 33.56/4.64 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr)))))) = dsetconstrI)), 33.56/4.64 inference(cnf_transformation,[],[f457])). 33.56/4.64 tff(f894,plain,( 33.56/4.64 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ (cCOMB @ cartprod))))))) = cartprodpairin)), 33.56/4.64 inference(cnf_transformation,[],[f475])). 33.56/4.64 tff(f935,plain,( 33.56/4.64 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ dsetconstr) @ cartprod))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND))) @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair))))))) = dpsetconstr), 33.56/4.64 inference(cnf_transformation,[],[f557])). 33.56/4.64 tff(f938,plain,( 33.56/4.64 (in @ (kpair @ sK3 @ sK4) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ dsetconstr) @ cartprod))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND))) @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair))))))) @ sK0 @ sK1 @ sK2) != $true)), 33.56/4.64 inference(definition_unfolding,[],[f749,f935])). 33.56/4.64 tff(f1073,plain,( 33.56/4.64 (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr)))))) = $true)), 33.56/4.64 inference(definition_unfolding,[],[f885,f577])). 33.56/4.64 tff(f1082,plain,( 33.56/4.64 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ (cCOMB @ cartprod))))))) = $true)), 33.56/4.64 inference(definition_unfolding,[],[f894,f711])). 33.56/4.64 tff(f1496,plain,( 33.56/4.64 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ kpair)))) @ (cCOMB @ cartprod)))))) @ X1 = $true)) )), 33.56/4.64 inference(pi_clausification,[],[f1082])). 33.56/4.64 tff(f1497,plain,( 33.56/4.64 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)))) @ (cCOMB @ cartprod)))))) = $true)) )), 33.56/4.64 inference(combinator_demodulation,[],[f1496])). 33.56/4.64 tff(f1498,plain,( 33.56/4.64 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)))) @ (cCOMB @ cartprod))))) @ X2 = $true)) )), 33.56/4.64 inference(pi_clausification,[],[f1497])). 33.56/4.64 tff(f1499,plain,( 33.56/4.64 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1))) @ (cCOMB @ cartprod @ X2))))) = $true)) )), 33.56/4.64 inference(combinator_demodulation,[],[f1498])). 33.56/4.64 tff(f1500,plain,( 33.56/4.64 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (kpair @ X1))) @ (cCOMB @ cartprod @ X2)))) @ X3 = $true)) )), 33.56/4.64 inference(pi_clausification,[],[f1499])). 33.56/4.64 tff(f1501,plain,( 33.56/4.64 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)) @ (cartprod @ X3 @ X2)))) = $true)) )), 33.56/4.64 inference(combinator_demodulation,[],[f1500])). 33.56/4.65 tff(f1502,plain,( 33.56/4.65 ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)) @ (cartprod @ X3 @ X2))) = $true)) )), 33.56/4.65 inference(binary_proxy_clausification,[],[f1501])). 33.56/4.65 tff(f1503,plain,( 33.56/4.65 ( ! [X4,X2,X3,X1] : ((in @ X1 @ X3 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (cCOMB @ (bCOMB @ in @ (kpair @ X1)) @ (cartprod @ X3 @ X2)) @ X4 = $true)) )), 33.56/4.65 inference(pi_clausification,[],[f1502])). 33.56/4.65 tff(f1504,plain,( 33.56/4.65 ( ! [X4,X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vIMP @ (in @ X4 @ X2) @ (in @ (kpair @ X1 @ X4) @ (cartprod @ X3 @ X2)) = $true)) )), 33.56/4.65 inference(combinator_demodulation,[],[f1503])). 33.56/4.65 tff(f1505,plain,( 33.56/4.65 ( ! [X4,X2,X3,X1] : ((in @ (kpair @ X1 @ X4) @ (cartprod @ X3 @ X2) = $true) | (in @ X4 @ X2 = $false) | (in @ X1 @ X3 = $false)) )), 33.56/4.65 inference(binary_proxy_clausification,[],[f1504])). 33.56/4.65 tff(f1581,plain,( 33.56/4.65 ( ! [X1] : ((bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ dsetconstr))))) @ X1 = $true)) )), 33.56/4.65 inference(pi_clausification,[],[f1073])). 33.56/4.65 tff(f1582,plain,( 33.56/4.65 ( ! [X1] : ((vPI('$i' -> '$o') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr))))) = $true)) )), 33.56/4.65 inference(combinator_demodulation,[],[f1581])). 33.56/4.65 tff(f1583,plain,( 33.56/4.65 ( ! [X2:'$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ X1))) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ dsetconstr)))) @ X2 = $true)) )), 33.56/4.65 inference(pi_clausification,[],[f1582])). 33.56/4.65 tff(f1584,plain,( 33.56/4.65 ( ! [X2:'$i' -> '$o',X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (X2 @ X1)) @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2)))) = $true)) )), 33.56/4.65 inference(combinator_demodulation,[],[f1583])). 33.56/4.65 tff(f1585,plain,( 33.56/4.65 ( ! [X2:'$i' -> '$o',X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (X2 @ X1)) @ (bCOMB @ (in @ X1) @ (cCOMB @ dsetconstr @ X2))) @ X3 = $true)) )), 33.56/4.65 inference(pi_clausification,[],[f1584])). 33.56/4.65 tff(f1586,plain,( 33.56/4.65 ( ! [X2:'$i' -> '$o',X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (vIMP @ (X2 @ X1) @ (in @ X1 @ (dsetconstr @ X3 @ X2))) = $true)) )), 33.56/4.65 inference(combinator_demodulation,[],[f1585])). 33.90/4.65 tff(f1587,plain,( 33.90/4.65 ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ X3 = $false) | (vIMP @ (X2 @ X1) @ (in @ X1 @ (dsetconstr @ X3 @ X2)) = $true)) )), 33.90/4.65 inference(binary_proxy_clausification,[],[f1586])). 33.90/4.65 tff(f1588,plain,( 33.90/4.65 ( ! [X2:'$i' -> '$o',X3,X1] : ((in @ X1 @ (dsetconstr @ X3 @ X2) = $true) | (X2 @ X1 = $false) | (in @ X1 @ X3 = $false)) )), 33.90/4.65 inference(binary_proxy_clausification,[],[f1587])). 33.90/4.65 tff(f2952,plain,( 33.90/4.65 (in @ (kpair @ sK3 @ sK4) @ (dsetconstr @ (cartprod @ sK0 @ sK1) @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ sK2)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair)))))))) != $true)), 33.90/4.65 inference(combinator_demodulation,[],[f938])). 33.90/4.65 tff(f4204,plain,( 33.90/4.65 ($true != $true) | (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ sK2)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair)))))) @ (kpair @ sK3 @ sK4) = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)), 33.90/4.65 inference(superposition,[],[f2952,f1588])). 33.90/4.65 tff(f4219,plain,( 33.90/4.65 (bCOMB @ vSIGMA('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ sK2)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair)))))) @ (kpair @ sK3 @ sK4) = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)), 33.90/4.65 inference(trivial_inequality_removal,[],[f4204])). 33.90/4.65 tff(f4220,plain,( 33.90/4.65 (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0)) @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ sK2))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair)) @ (kpair @ sK3 @ sK4))))) = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)), 33.90/4.65 inference(combinator_demodulation,[],[f4219])). 33.90/4.65 tff(f4221,plain,( 33.90/4.65 ( ! [X1] : ((sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK0)) @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1))) @ sK2))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ kpair)) @ (kpair @ sK3 @ sK4)))) @ X1 = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)) )), 33.90/4.65 inference(pi_clausification,[],[f4220])). 33.90/4.65 tff(f4222,plain,( 33.90/4.65 ( ! [X1] : ((vAND @ (in @ X1 @ sK0) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)) @ (sK2 @ X1))) @ (cCOMB @ (bCOMB @ vEQ('$i') @ (kpair @ X1)) @ (kpair @ sK3 @ sK4)))) = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)) )), 33.90/4.65 inference(combinator_demodulation,[],[f4221])). 33.90/4.65 tff(f4223,plain,( 33.90/4.65 ( ! [X1] : ((in @ X1 @ sK0 = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)) @ (sK2 @ X1))) @ (cCOMB @ (bCOMB @ vEQ('$i') @ (kpair @ X1)) @ (kpair @ sK3 @ sK4))) = $false)) )), 33.90/4.65 inference(binary_proxy_clausification,[],[f4222])). 33.90/4.65 tff(f4224,plain,( 33.90/4.65 ( ! [X2,X1] : ((in @ X1 @ sK0 = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ sK1)) @ (sK2 @ X1))) @ (cCOMB @ (bCOMB @ vEQ('$i') @ (kpair @ X1)) @ (kpair @ sK3 @ sK4)) @ X2 = $false)) )), 33.90/4.65 inference(pi_clausification,[],[f4223])). 33.90/4.65 tff(f4225,plain,( 33.90/4.65 ( ! [X2,X1] : ((in @ X1 @ sK0 = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (vAND @ (vAND @ (in @ X2 @ sK1) @ (sK2 @ X1 @ X2)) @ (vEQ('$i') @ (kpair @ X1 @ X2) @ (kpair @ sK3 @ sK4)) = $false)) )), 33.90/4.65 inference(combinator_demodulation,[],[f4224])). 33.90/4.65 tff(f4226,plain,( 33.90/4.65 ( ! [X2,X1] : ((in @ X1 @ sK0 = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (vAND @ (in @ X2 @ sK1) @ (sK2 @ X1 @ X2) = $false) | (vEQ('$i') @ (kpair @ X1 @ X2) @ (kpair @ sK3 @ sK4) = $false)) )), 33.90/4.65 inference(binary_proxy_clausification,[],[f4225])). 33.90/4.65 tff(f4227,plain,( 33.90/4.65 ( ! [X2,X1] : ((in @ X1 @ sK0 = $false) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (vAND @ (in @ X2 @ sK1) @ (sK2 @ X1 @ X2) = $false) | kpair @ sK3 @ sK4 != kpair @ X1 @ X2) )), 33.90/4.65 inference(equality_proxy_clausification,[],[f4226])). 33.90/4.65 tff(f4228,plain,( 33.90/4.65 ( ! [X2,X1] : (kpair @ sK3 @ sK4 != kpair @ X1 @ X2 | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (in @ X2 @ sK1 = $false) | (in @ X1 @ sK0 = $false) | (sK2 @ X1 @ X2 = $false)) )), 33.90/4.65 inference(binary_proxy_clausification,[],[f4227])). 33.90/4.65 tff(f15327,plain,( 33.90/4.65 (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (in @ sK4 @ sK1 = $false) | (in @ sK3 @ sK0 = $false) | (sK2 @ sK3 @ sK4 = $false)), 33.90/4.65 inference(equality_resolution,[],[f4228])). 33.90/4.65 tff(f15361,plain,( 33.90/4.65 ($false = $true) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (in @ sK3 @ sK0 = $false) | (sK2 @ sK3 @ sK4 = $false)), 33.90/4.65 inference(forward_demodulation,[],[f15327,f747])). 33.90/4.65 tff(f15362,plain,( 33.90/4.65 (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (in @ sK3 @ sK0 = $false) | (sK2 @ sK3 @ sK4 = $false)), 33.90/4.65 inference(trivial_inequality_removal,[],[f15361])). 33.90/4.65 tff(f15363,plain,( 33.90/4.65 ($false = $true) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (sK2 @ sK3 @ sK4 = $false)), 33.90/4.65 inference(forward_demodulation,[],[f15362,f746])). 33.90/4.65 tff(f15364,plain,( 33.90/4.65 (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false) | (sK2 @ sK3 @ sK4 = $false)), 33.90/4.65 inference(trivial_inequality_removal,[],[f15363])). 33.90/4.65 tff(f15365,plain,( 33.90/4.65 ($false = $true) | (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)), 33.90/4.65 inference(forward_demodulation,[],[f15364,f748])). 33.90/4.65 tff(f15366,plain,( 33.90/4.65 (in @ (kpair @ sK3 @ sK4) @ (cartprod @ sK0 @ sK1) = $false)), 33.90/4.65 inference(trivial_inequality_removal,[],[f15365])). 33.90/4.65 tff(f18569,plain,( 33.90/4.65 ($false = $true) | (in @ sK4 @ sK1 = $false) | (in @ sK3 @ sK0 = $false)), 33.90/4.65 inference(superposition,[],[f15366,f1505])). 33.90/4.65 tff(f18576,plain,( 33.90/4.65 (in @ sK4 @ sK1 = $false) | (in @ sK3 @ sK0 = $false)), 33.90/4.65 inference(trivial_inequality_removal,[],[f18569])). 33.90/4.65 tff(f18578,plain,( 33.90/4.65 ($false = $true) | (in @ sK4 @ sK1 = $false)), 33.90/4.65 inference(forward_demodulation,[],[f18576,f746])). 33.90/4.65 tff(f18579,plain,( 33.90/4.65 (in @ sK4 @ sK1 = $false)), 33.90/4.65 inference(trivial_inequality_removal,[],[f18578])). 33.90/4.65 tff(f18601,plain,( 33.90/4.65 ($false = $true)), 33.90/4.65 inference(backward_demodulation,[],[f18579,f747])). 33.90/4.65 tff(f18604,plain,( 33.90/4.65 $false), 33.90/4.65 inference(trivial_inequality_removal,[],[f18601])). 33.90/4.65 % SZS output end Proof for theBenchmark 33.90/4.65 % (2668)------------------------------ 33.90/4.65 % (2668)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.90/4.65 % (2668)Termination reason: Refutation 33.90/4.65 33.90/4.65 % (2668)Memory used [KB]: 19189 33.90/4.65 % (2668)Time elapsed: 3.303 s 33.90/4.65 % (2668)------------------------------ 33.90/4.65 % (2668)------------------------------ 33.90/4.66 % (2460)Success in time 4.285 s 33.90/4.67 EOF