0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n015.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 09:26:35 EDT 2020 0.09/0.30 % CPUTime : 0.14/0.34 % (28887)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.14/0.35 % (28889)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.14/0.35 % (28888)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.14/0.35 % (28898)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.14/0.35 % (28900)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.14/0.35 % (28899)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.14/0.35 % (28897)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 0.14/0.35 % (28892)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.14/0.36 % (28903)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark 0.14/0.36 % (28904)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.14/0.36 % (28914)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.14/0.36 % (28909)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.14/0.36 % (28915)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark 0.14/0.36 % (28901)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 0.14/0.36 % (28894)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.14/0.36 % (28913)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.14/0.37 % (28908)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.14/0.37 % (28891)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.14/0.37 % (28890)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.14/0.37 % (28896)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark 0.14/0.37 % (28895)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.14/0.37 % (28893)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.14/0.37 % (28906)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.14/0.37 % (28902)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 0.14/0.38 % (28911)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.14/0.38 % (28912)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.14/0.38 % (28886)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.14/0.38 % (28910)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark 0.14/0.38 % (28907)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.14/0.39 % (28905)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 3.36/0.77 % (28900)Time limit reached! 3.36/0.77 % (28900)------------------------------ 3.36/0.77 % (28900)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.36/0.77 % (28900)Termination reason: Time limit 3.36/0.77 3.36/0.77 % (28900)Memory used [KB]: 8315 3.36/0.77 % (28900)Time elapsed: 0.435 s 3.36/0.77 % (28900)------------------------------ 3.36/0.77 % (28900)------------------------------ 3.36/0.82 % (28928)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 4.32/0.94 % (28892)Time limit reached! 4.32/0.94 % (28892)------------------------------ 4.32/0.94 % (28892)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.32/0.94 % (28892)Termination reason: Time limit 4.32/0.94 % (28892)Termination phase: Saturation 4.32/0.94 4.32/0.94 % (28892)Memory used [KB]: 18293 4.32/0.94 % (28892)Time elapsed: 0.600 s 4.32/0.94 % (28892)------------------------------ 4.32/0.94 % (28892)------------------------------ 4.78/0.94 % (28889)Time limit reached! 4.78/0.94 % (28889)------------------------------ 4.78/0.94 % (28889)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.78/0.94 % (28889)Termination reason: Time limit 4.78/0.94 4.78/0.94 % (28889)Memory used [KB]: 13688 4.78/0.94 % (28889)Time elapsed: 0.589 s 4.78/0.94 % (28889)------------------------------ 4.78/0.94 % (28889)------------------------------ 4.96/0.98 % (28888)Time limit reached! 4.96/0.98 % (28888)------------------------------ 4.96/0.98 % (28888)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.96/0.98 % (28888)Termination reason: Time limit 4.96/0.98 4.96/0.98 % (28888)Memory used [KB]: 12537 4.96/0.98 % (28888)Time elapsed: 0.646 s 4.96/0.98 % (28888)------------------------------ 4.96/0.98 % (28888)------------------------------ 5.37/1.02 % (28929)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 5.37/1.02 % (28930)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 5.37/1.06 % (28931)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 8.39/1.45 % (28908)Time limit reached! 8.39/1.45 % (28908)------------------------------ 8.39/1.45 % (28908)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.39/1.45 % (28908)Termination reason: Time limit 8.39/1.45 8.39/1.45 % (28908)Memory used [KB]: 4605 8.39/1.45 % (28908)Time elapsed: 1.126 s 8.39/1.45 % (28908)------------------------------ 8.39/1.45 % (28908)------------------------------ 9.31/1.53 % (28937)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 9.62/1.55 % (28931)Refutation not found, incomplete strategy 9.62/1.55 % (28931)------------------------------ 9.62/1.55 % (28931)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.62/1.55 % (28931)Termination reason: Refutation not found, incomplete strategy 9.62/1.55 9.62/1.55 % (28931)Memory used [KB]: 11385 9.62/1.55 % (28931)Time elapsed: 0.550 s 9.62/1.55 % (28931)------------------------------ 9.62/1.55 % (28931)------------------------------ 9.62/1.63 % (28938)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 10.31/1.69 % (28898)Time limit reached! 10.31/1.69 % (28898)------------------------------ 10.31/1.69 % (28898)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.31/1.69 % (28898)Termination reason: Time limit 10.31/1.69 % (28898)Termination phase: Function definition elimination 10.31/1.69 10.31/1.69 % (28898)Memory used [KB]: 1918 10.31/1.69 % (28898)Time elapsed: 0.500 s 10.31/1.69 % (28898)------------------------------ 10.31/1.69 % (28898)------------------------------ 11.39/1.77 % (28940)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 12.62/1.96 % (28897)Time limit reached! 12.62/1.96 % (28897)------------------------------ 12.62/1.96 % (28897)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.62/1.96 % (28897)Termination reason: Time limit 12.62/1.96 % (28897)Termination phase: Property scanning 12.62/1.96 12.62/1.96 % (28897)Memory used [KB]: 2046 12.62/1.96 % (28897)Time elapsed: 0.500 s 12.62/1.96 % (28897)------------------------------ 12.62/1.96 % (28897)------------------------------ 12.62/1.99 % (28887)Time limit reached! 12.62/1.99 % (28887)------------------------------ 12.62/1.99 % (28887)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.62/1.99 % (28887)Termination reason: Time limit 12.62/1.99 % (28887)Termination phase: Function definition elimination 12.62/1.99 12.62/1.99 % (28887)Memory used [KB]: 1918 12.62/1.99 % (28887)Time elapsed: 0.500 s 12.62/1.99 % (28887)------------------------------ 12.62/1.99 % (28887)------------------------------ 13.16/2.02 % (28953)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 13.16/2.06 % (28954)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 13.73/2.09 % (28886)Time limit reached! 13.73/2.09 % (28886)------------------------------ 13.73/2.09 % (28886)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.73/2.09 % (28886)Termination reason: Time limit 13.73/2.09 % (28886)Termination phase: Function definition elimination 13.73/2.09 13.73/2.09 % (28886)Memory used [KB]: 1918 13.73/2.09 % (28886)Time elapsed: 0.500 s 13.73/2.09 % (28886)------------------------------ 13.73/2.09 % (28886)------------------------------ 14.13/2.16 % (28962)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 17.41/2.57 % (28895)Time limit reached! 17.41/2.57 % (28895)------------------------------ 17.41/2.57 % (28895)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.41/2.57 % (28895)Termination reason: Time limit 17.41/2.57 % (28895)Termination phase: Function definition elimination 17.41/2.57 17.41/2.57 % (28895)Memory used [KB]: 1918 17.41/2.57 % (28895)Time elapsed: 0.600 s 17.41/2.57 % (28895)------------------------------ 17.41/2.57 % (28895)------------------------------ 18.03/2.65 % (28963)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 20.56/2.97 % (28890)Time limit reached! 20.56/2.97 % (28890)------------------------------ 20.56/2.97 % (28890)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 20.56/2.97 % (28890)Termination reason: Time limit 20.56/2.97 % (28890)Termination phase: Property scanning 20.56/2.97 20.56/2.97 % (28890)Memory used [KB]: 1918 20.56/2.97 % (28890)Time elapsed: 1.500 s 20.56/2.97 % (28890)------------------------------ 20.56/2.97 % (28890)------------------------------ 21.03/3.01 % (28964)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark 22.85/3.21 % (28964)Refutation not found, incomplete strategy 22.85/3.21 % (28964)------------------------------ 22.85/3.21 % (28964)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.85/3.21 % (28964)Termination reason: Refutation not found, incomplete strategy 22.85/3.21 22.85/3.21 % (28964)Memory used [KB]: 11897 22.85/3.21 % (28964)Time elapsed: 0.238 s 22.85/3.21 % (28964)------------------------------ 22.85/3.21 % (28964)------------------------------ 22.85/3.25 % (28905)Time limit reached! 22.85/3.25 % (28905)------------------------------ 22.85/3.25 % (28905)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.85/3.25 % (28905)Termination reason: Time limit 22.85/3.25 % (28905)Termination phase: Property scanning 22.85/3.25 22.85/3.25 % (28905)Memory used [KB]: 1918 22.85/3.25 % (28905)Time elapsed: 1.100 s 22.85/3.25 % (28905)------------------------------ 22.85/3.25 % (28905)------------------------------ 22.85/3.25 % (28965)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark 23.44/3.30 % (28966)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 23.44/3.34 % (28904)Time limit reached! 23.44/3.34 % (28904)------------------------------ 23.44/3.34 % (28904)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.44/3.34 % (28904)Termination reason: Time limit 23.44/3.34 % (28904)Termination phase: Property scanning 23.44/3.34 23.44/3.34 % (28904)Memory used [KB]: 1918 23.44/3.34 % (28904)Time elapsed: 0.900 s 23.44/3.34 % (28904)------------------------------ 23.44/3.34 % (28904)------------------------------ 24.37/3.39 % (28967)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 25.68/3.57 % (28903)Time limit reached! 25.68/3.57 % (28903)------------------------------ 25.68/3.57 % (28903)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.68/3.57 % (28903)Termination reason: Time limit 25.68/3.57 25.68/3.57 % (28903)Memory used [KB]: 26993 25.68/3.57 % (28903)Time elapsed: 3.248 s 25.68/3.57 % (28903)------------------------------ 25.68/3.57 % (28903)------------------------------ 25.68/3.59 % (28907)Time limit reached! 25.68/3.59 % (28907)------------------------------ 25.68/3.59 % (28907)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.68/3.59 % (28907)Termination reason: Time limit 25.68/3.59 25.68/3.59 % (28907)Memory used [KB]: 44263 25.68/3.59 % (28907)Time elapsed: 3.225 s 25.68/3.59 % (28907)------------------------------ 25.68/3.59 % (28907)------------------------------ 25.68/3.64 % (28968)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 26.40/3.66 % (28969)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 26.64/3.69 % (28963)Time limit reached! 26.64/3.69 % (28963)------------------------------ 26.64/3.69 % (28963)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.64/3.69 % (28963)Termination reason: Time limit 26.64/3.69 26.64/3.69 % (28963)Memory used [KB]: 11385 26.64/3.69 % (28963)Time elapsed: 1.121 s 26.64/3.69 % (28963)------------------------------ 26.64/3.69 % (28963)------------------------------ 27.14/3.77 % (28970)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 27.14/3.78 % (28930)Time limit reached! 27.14/3.78 % (28930)------------------------------ 27.14/3.78 % (28930)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.14/3.78 % (28930)Termination reason: Time limit 27.14/3.78 27.14/3.78 % (28930)Memory used [KB]: 20340 27.14/3.78 % (28930)Time elapsed: 2.816 s 27.14/3.78 % (28930)------------------------------ 27.14/3.78 % (28930)------------------------------ 27.60/3.85 % (28971)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 27.95/3.98 % (28901)Time limit reached! 27.95/3.98 % (28901)------------------------------ 27.95/3.98 % (28901)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.95/3.98 % (28901)Termination reason: Time limit 27.95/3.98 % (28901)Termination phase: Property scanning 27.95/3.98 27.95/3.98 % (28901)Memory used [KB]: 1918 27.95/3.98 % (28901)Time elapsed: 1.0000 s 27.95/3.98 % (28901)------------------------------ 27.95/3.98 % (28901)------------------------------ 29.31/4.06 % (28972)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 29.31/4.06 % (28929)Time limit reached! 29.31/4.06 % (28929)------------------------------ 29.31/4.06 % (28929)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.69/4.07 % (28929)Termination reason: Time limit 29.69/4.07 % (28929)Termination phase: Saturation 29.69/4.07 29.69/4.07 % (28929)Memory used [KB]: 7675 29.69/4.07 % (28929)Time elapsed: 3.100 s 29.69/4.07 % (28929)------------------------------ 29.69/4.07 % (28929)------------------------------ 29.69/4.11 % (28973)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 30.30/4.15 % (28962)Time limit reached! 30.30/4.15 % (28962)------------------------------ 30.30/4.15 % (28962)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.30/4.15 % (28962)Termination reason: Time limit 30.30/4.15 % (28962)Termination phase: Saturation 30.30/4.15 30.30/4.15 % (28962)Memory used [KB]: 20340 30.30/4.15 % (28962)Time elapsed: 1.300 s 30.30/4.15 % (28962)------------------------------ 30.30/4.15 % (28962)------------------------------ 30.30/4.17 % (28899)Time limit reached! 30.30/4.17 % (28899)------------------------------ 30.30/4.17 % (28899)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.30/4.17 % (28899)Termination reason: Time limit 30.30/4.17 % (28899)Termination phase: Property scanning 30.30/4.17 30.30/4.17 % (28899)Memory used [KB]: 1918 30.30/4.17 % (28899)Time elapsed: 1.100 s 30.30/4.17 % (28899)------------------------------ 30.30/4.17 % (28899)------------------------------ 30.93/4.24 % (28975)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 30.93/4.24 % (28974)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 32.42/4.45 % (28937)Time limit reached! 32.42/4.45 % (28937)------------------------------ 32.42/4.45 % (28937)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.42/4.45 % (28937)Termination reason: Time limit 32.42/4.45 % (28937)Termination phase: Saturation 32.42/4.45 32.42/4.45 % (28937)Memory used [KB]: 19573 32.42/4.45 % (28937)Time elapsed: 2.900 s 32.42/4.45 % (28937)------------------------------ 32.42/4.45 % (28937)------------------------------ 32.67/4.54 % (28976)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 36.17/4.92 % (28896)Time limit reached! 36.17/4.92 % (28896)------------------------------ 36.17/4.92 % (28896)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 36.17/4.92 % (28896)Termination reason: Time limit 36.17/4.92 36.17/4.92 % (28896)Memory used [KB]: 37355 36.17/4.92 % (28896)Time elapsed: 4.579 s 36.17/4.92 % (28896)------------------------------ 36.17/4.92 % (28896)------------------------------ 36.89/4.97 % (28968)Time limit reached! 36.89/4.97 % (28968)------------------------------ 36.89/4.97 % (28968)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 36.89/4.97 % (28968)Termination reason: Time limit 36.89/4.97 % (28968)Termination phase: Saturation 36.89/4.97 36.89/4.97 % (28968)Memory used [KB]: 17270 36.89/4.97 % (28968)Time elapsed: 1.400 s 36.89/4.97 % (28968)------------------------------ 36.89/4.97 % (28968)------------------------------ 37.29/5.04 % (28977)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 37.29/5.04 % (28978)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 39.08/5.33 % (28911)Time limit reached! 39.08/5.33 % (28911)------------------------------ 39.08/5.33 % (28911)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 39.08/5.33 % (28911)Termination reason: Time limit 39.08/5.33 % (28911)Termination phase: Property scanning 39.08/5.33 39.08/5.33 % (28911)Memory used [KB]: 1918 39.08/5.33 % (28911)Time elapsed: 1.500 s 39.08/5.33 % (28911)------------------------------ 39.08/5.33 % (28911)------------------------------ 40.30/5.41 % (28979)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 41.42/5.61 % (28909)Time limit reached! 41.42/5.61 % (28909)------------------------------ 41.42/5.61 % (28909)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.42/5.61 % (28909)Termination reason: Time limit 41.42/5.61 41.42/5.61 % (28909)Memory used [KB]: 31598 41.42/5.61 % (28909)Time elapsed: 5.250 s 41.42/5.61 % (28909)------------------------------ 41.42/5.61 % (28909)------------------------------ 42.19/5.67 % (28980)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 44.42/5.97 % (28980)Refutation not found, incomplete strategy 44.42/5.97 % (28980)------------------------------ 44.42/5.97 % (28980)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 44.42/5.97 % (28980)Termination reason: Refutation not found, incomplete strategy 44.42/5.97 44.42/5.97 % (28980)Memory used [KB]: 11385 44.42/5.97 % (28980)Time elapsed: 0.333 s 44.42/5.97 % (28980)------------------------------ 44.42/5.97 % (28980)------------------------------ 45.05/6.03 % (28981)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark 45.05/6.04 % (28966)Time limit reached! 45.05/6.04 % (28966)------------------------------ 45.05/6.04 % (28966)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 45.05/6.04 % (28966)Termination reason: Time limit 45.05/6.04 % (28966)Termination phase: Function definition elimination 45.05/6.04 45.05/6.04 % (28966)Memory used [KB]: 1918 45.05/6.04 % (28966)Time elapsed: 0.800 s 45.05/6.04 % (28966)------------------------------ 45.05/6.04 % (28966)------------------------------ 45.86/6.11 % (28982)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 45.95/6.16 % (28891)Time limit reached! 45.95/6.16 % (28891)------------------------------ 45.95/6.16 % (28891)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 45.95/6.16 % (28973)Time limit reached! 45.95/6.16 % (28973)------------------------------ 45.95/6.16 % (28973)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 45.95/6.16 % (28973)Termination reason: Time limit 45.95/6.16 % (28973)Termination phase: Saturation 45.95/6.16 45.95/6.16 % (28973)Memory used [KB]: 20980 45.95/6.16 % (28973)Time elapsed: 2.100 s 45.95/6.16 % (28973)------------------------------ 45.95/6.16 % (28973)------------------------------ 45.95/6.17 % (28891)Termination reason: Time limit 45.95/6.17 % (28891)Termination phase: Property scanning 45.95/6.17 45.95/6.17 % (28891)Memory used [KB]: 1918 45.95/6.17 % (28891)Time elapsed: 1.600 s 45.95/6.17 % (28891)------------------------------ 45.95/6.17 % (28891)------------------------------ 45.95/6.22 % (28984)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off_2 on theBenchmark 47.03/6.25 % (28983)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 49.74/6.60 % (28974)Time limit reached! 49.74/6.60 % (28974)------------------------------ 49.74/6.60 % (28974)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 49.74/6.60 % (28974)Termination reason: Time limit 49.74/6.60 % (28974)Termination phase: Function definition elimination 49.74/6.60 49.74/6.60 % (28974)Memory used [KB]: 1918 49.74/6.60 % (28974)Time elapsed: 0.800 s 49.74/6.60 % (28974)------------------------------ 49.74/6.60 % (28974)------------------------------ 50.08/6.68 % (28985)lrs-11_4:1_afp=0:narr=sk:prag=on: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 50.08/6.70 % (28984)Time limit reached! 50.08/6.70 % (28984)------------------------------ 50.08/6.70 % (28984)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 50.08/6.70 % (28984)Termination reason: Time limit 50.08/6.70 50.08/6.70 % (28984)Memory used [KB]: 7164 50.08/6.70 % (28984)Time elapsed: 0.509 s 50.08/6.70 % (28984)------------------------------ 50.08/6.70 % (28984)------------------------------ 50.77/6.78 % (28986)dis+1002_6_add=large:csup=on:narr=sk:prag=on:mXXn=4:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_22 on theBenchmark 51.28/6.85 % (28979)Time limit reached! 51.28/6.85 % (28979)------------------------------ 51.28/6.85 % (28979)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 51.28/6.85 % (28979)Termination reason: Time limit 51.28/6.85 % (28979)Termination phase: Saturation 51.28/6.85 51.28/6.85 % (28979)Memory used [KB]: 17142 51.28/6.85 % (28979)Time elapsed: 1.400 s 51.28/6.85 % (28979)------------------------------ 51.28/6.85 % (28979)------------------------------ 52.33/6.93 % (28987)lrs-11_4:1_afp=0:fe=axiom:narr=sk:prag=on: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 55.08/7.26 % (28954)Refutation found. Thanks to Tanya! 55.08/7.26 % SZS status Theorem for theBenchmark 55.08/7.26 % SZS output start Proof for theBenchmark 55.08/7.26 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 55.08/7.26 tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 55.08/7.26 tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i'). 55.08/7.26 tff(func_def_8, type, in: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_11, type, union: '$i' -> '$i'). 55.08/7.26 tff(func_def_12, type, power: '$i' -> '$i'). 55.08/7.26 tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i'). 55.08/7.26 tff(func_def_14, type, d_Union_closed: '$i' -> '$o'). 55.08/7.26 tff(func_def_15, type, d_Power_closed: '$i' -> '$o'). 55.08/7.26 tff(func_def_16, type, d_Repl_closed: '$i' -> '$o'). 55.08/7.26 tff(func_def_17, type, d_ZF_closed: '$i' -> '$o'). 55.08/7.26 tff(func_def_18, type, univof: '$i' -> '$i'). 55.08/7.26 tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_22, type, d_Sing: '$i' -> '$i'). 55.08/7.26 tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i'). 55.08/7.26 tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i'). 55.08/7.26 tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i'). 55.08/7.26 tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_30, type, ordsucc: '$i' -> '$i'). 55.08/7.26 tff(func_def_31, type, nat_p: '$i' -> '$o'). 55.08/7.26 tff(func_def_33, type, d_Inj1: '$i' -> '$i'). 55.08/7.26 tff(func_def_34, type, d_Inj0: '$i' -> '$i'). 55.08/7.26 tff(func_def_35, type, d_Unj: '$i' -> '$i'). 55.08/7.26 tff(func_def_36, type, pair: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_37, type, proj0: '$i' -> '$i'). 55.08/7.26 tff(func_def_38, type, proj1: '$i' -> '$i'). 55.08/7.26 tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i'). 55.08/7.26 tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_41, type, ap: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_42, type, pair_p: '$i' -> '$o'). 55.08/7.26 tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i'). 55.08/7.26 tff(func_def_44, type, imp: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_45, type, d_not: '$o' -> '$o'). 55.08/7.26 tff(func_def_46, type, wel: '$o' -> '$o'). 55.08/7.26 tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_51, type, orec: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o'). 55.08/7.26 tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i'). 55.08/7.26 tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_86, type, empty: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o'). 55.08/7.26 tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 55.08/7.26 tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_108, type, nis: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o'). 55.08/7.26 tff(func_def_114, type, cond1: '$i' -> '$o'). 55.08/7.26 tff(func_def_115, type, cond2: '$i' -> '$o'). 55.08/7.26 tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i'). 55.08/7.26 tff(func_def_117, type, d_22_prop1: '$i' -> '$o'). 55.08/7.26 tff(func_def_118, type, d_23_prop1: '$i' -> '$o'). 55.08/7.26 tff(func_def_119, type, d_24_prop1: '$i' -> '$o'). 55.08/7.26 tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_122, type, prop4: '$i' -> '$o'). 55.08/7.26 tff(func_def_123, type, d_24_g: '$i' -> '$i'). 55.08/7.26 tff(func_def_124, type, plus: '$i' -> '$i'). 55.08/7.26 tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i'). 55.08/7.26 tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_132, type, iii: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o'). 55.08/7.26 tff(func_def_136, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 55.08/7.26 tff(func_def_137, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 55.08/7.26 tff(func_def_138, type, vIMP: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_139, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 55.08/7.26 tff(func_def_140, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 55.08/7.26 tff(func_def_143, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 55.08/7.26 tff(func_def_144, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 55.08/7.26 tff(func_def_145, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 55.08/7.26 tff(func_def_146, type, vAND: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_147, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 55.08/7.26 tff(func_def_148, type, vNOT: '$o' -> '$o'). 55.08/7.26 tff(func_def_149, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 55.08/7.26 tff(func_def_150, type, vOR: '$o' -> '$o' -> '$o'). 55.08/7.26 tff(func_def_151, type, sK0: ('$i' -> '$o') -> '$i'). 55.08/7.26 tff(func_def_152, type, sK1: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i'). 55.08/7.26 tff(func_def_154, type, sK3: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 55.08/7.26 tff(f2,axiom,( 55.08/7.26 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)). 55.08/7.26 tff(f33,axiom,( 55.08/7.26 imp = (^[X0 : '$o', X1 : '$o'] : X0 => X1)), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_imp)). 55.08/7.26 tff(f39,axiom,( 55.08/7.26 l_or = (^[X0 : '$o'] : imp @ (d_not @ X0))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_l_or)). 55.08/7.26 tff(f96,axiom,( 55.08/7.26 e_is @ nat = n_is), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)). 55.08/7.26 tff(f97,axiom,( 55.08/7.26 nis = (^[X0 : '$i', X1 : '$i'] : d_not @ (n_is @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nis)). 55.08/7.26 tff(f109,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : is_of @ (ordsucc @ X0) @ (^[X1 : '$i'] : in @ X1 @ nat))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',suc_p)). 55.08/7.26 tff(f118,axiom,( 55.08/7.26 is_of @ n_1 @ (^[X0 : '$i'] : in @ X0 @ nat)), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1_p)). 55.08/7.26 tff(f131,axiom,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : esti @ X0 @ X2 @ (d_Sep @ X0 @ X1) => X1 @ X2)), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estie)). 55.08/7.26 tff(f135,axiom,( 55.08/7.26 ! [X0] : all_of @ (^[X1 : '$i'] : in @ X1 @ X0) @ (^[X1 : '$i'] : e_is @ X0 @ X1 @ X1)), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refis)). 55.08/7.26 tff(f154,axiom,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : all_of @ (^[X3 : '$i'] : in @ X3 @ X0) @ (^[X3 : '$i'] : X1 @ X2 => (e_is @ X0 @ X2 @ X3 => X1 @ X3)))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_isp)). 55.08/7.26 tff(f160,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : nis @ (ordsucc @ X0) @ n_1)), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_ax3)). 55.08/7.26 tff(f163,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : n_is @ (ordsucc @ X0) @ (ordsucc @ X1) => n_is @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_ax4)). 55.08/7.26 tff(f164,axiom,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : X1 @ X2 => esti @ X0 @ X2 @ (d_Sep @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estii)). 55.08/7.26 tff(f187,axiom,( 55.08/7.26 iii = (^[X0 : '$i', X1 : '$i'] : n_some @ (diffprop @ X1 @ X0))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii)). 55.08/7.26 tff(f189,axiom,( 55.08/7.26 moreis = (^[X0 : '$i', X1 : '$i'] : l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreis)). 55.08/7.26 tff(f190,axiom,( 55.08/7.26 lessis = (^[X0 : '$i', X1 : '$i'] : l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis)). 55.08/7.26 tff(f194,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ X0 @ X1 => iii @ X1 @ X0))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz11)). 55.08/7.26 tff(f196,conjecture,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (iii @ X0 @ X1) => moreis @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10f)). 55.08/7.26 tff(f197,negated_conjecture,( 55.08/7.26 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (iii @ X0 @ X1) => moreis @ X0 @ X1))), 55.08/7.26 inference(negated_conjecture,[],[f196])). 55.08/7.26 tff(f204,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : lessis @ X0 @ X1 => moreis @ X1 @ X0))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz14)). 55.08/7.26 tff(f209,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : nis @ (ordsucc @ X0) @ X0)), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz2)). 55.08/7.26 tff(f213,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : nis @ X0 @ X1 => nis @ (ordsucc @ X0) @ (ordsucc @ X1)))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz1)). 55.08/7.26 tff(f220,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (d_29_ii @ X0 @ X1) => lessis @ X0 @ X1))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10e)). 55.08/7.26 tff(f223,axiom,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X0 @ X1 => d_29_ii @ X1 @ X0))), 55.08/7.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz12)). 55.08/7.26 tff(f225,plain,( 55.08/7.26 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (iii @ X1 @ X3) => moreis @ X1 @ X3))), 55.08/7.26 inference(rectify,[],[f197])). 55.08/7.26 tff(f226,plain,( 55.08/7.26 ~(all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 55.08/7.26 inference(fool_elimination,[],[f225])). 55.08/7.26 tff(f308,plain,( 55.08/7.26 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ d_29_ii)) @ n_is = moreis), 55.08/7.26 inference(fool_elimination,[],[f189])). 55.08/7.26 tff(f309,plain,( 55.08/7.26 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ iii)) @ n_is = lessis), 55.08/7.26 inference(fool_elimination,[],[f190])). 55.08/7.26 tff(f321,plain,( 55.08/7.26 bCOMB @ imp @ d_not = l_or), 55.08/7.26 inference(fool_elimination,[],[f39])). 55.08/7.26 tff(f328,plain,( 55.08/7.26 bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop) = iii), 55.08/7.26 inference(fool_elimination,[],[f187])). 55.08/7.26 tff(f338,plain,( 55.08/7.26 bCOMB @ (bCOMB @ d_not) @ n_is = nis), 55.08/7.26 inference(fool_elimination,[],[f97])). 55.08/7.26 tff(f344,plain,( 55.08/7.26 imp = (^[X0 : '$o', X1 : '$o'] : X0 => X1)), 55.08/7.26 inference(rectify,[],[f33])). 55.08/7.26 tff(f345,plain,( 55.08/7.26 imp = vIMP), 55.08/7.26 inference(fool_elimination,[],[f344])). 55.08/7.26 tff(f360,plain,( 55.08/7.26 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 55.08/7.26 inference(rectify,[],[f2])). 55.08/7.26 tff(f361,plain,( 55.08/7.26 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 55.08/7.26 inference(fool_elimination,[],[f360])). 55.08/7.26 tff(f384,plain,( 55.08/7.26 ! [X0] : all_of @ (^[X1 : '$i'] : in @ X1 @ X0) @ (^[X2 : '$i'] : e_is @ X0 @ X2 @ X2)), 55.08/7.26 inference(rectify,[],[f135])). 55.08/7.26 tff(f385,plain,( 55.08/7.26 ! [X0] : (all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (e_is @ X0) @ iCOMB) = $true)), 55.08/7.26 inference(fool_elimination,[],[f384])). 55.08/7.26 tff(f406,plain,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : X1 @ X3 => esti @ X0 @ X3 @ (d_Sep @ X0 @ X1))), 55.08/7.26 inference(rectify,[],[f164])). 55.08/7.26 tff(f407,plain,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) = $true)), 55.08/7.26 inference(fool_elimination,[],[f406])). 55.08/7.26 tff(f410,plain,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : esti @ X0 @ X3 @ (d_Sep @ X0 @ X1) => X1 @ X3)), 55.08/7.26 inference(rectify,[],[f131])). 55.08/7.26 tff(f411,plain,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) = $true)), 55.08/7.26 inference(fool_elimination,[],[f410])). 55.08/7.26 tff(f416,plain,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : all_of @ (^[X4 : '$i'] : in @ X4 @ X0) @ (^[X5 : '$i'] : X1 @ X3 => (e_is @ X0 @ X3 @ X5 => X1 @ X5)))), 55.08/7.26 inference(rectify,[],[f154])). 55.08/7.26 tff(f417,plain,( 55.08/7.26 ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (bCOMB @ (all_of @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)), 55.08/7.26 inference(fool_elimination,[],[f416])). 55.08/7.26 tff(f474,plain,( 55.08/7.26 is_of @ n_1 @ (^[X0 : '$i'] : in @ X0 @ nat)), 55.08/7.26 inference(rectify,[],[f118])). 55.08/7.26 tff(f475,plain,( 55.08/7.26 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true)), 55.08/7.26 inference(fool_elimination,[],[f474])). 55.08/7.26 tff(f476,plain,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : nis @ (ordsucc @ X1) @ n_1)), 55.08/7.26 inference(rectify,[],[f160])). 55.08/7.26 tff(f477,plain,( 55.08/7.26 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ nis @ ordsucc) @ n_1) = $true)), 55.08/7.26 inference(fool_elimination,[],[f476])). 55.08/7.26 tff(f478,plain,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : nis @ (ordsucc @ X1) @ X1)), 55.08/7.26 inference(rectify,[],[f209])). 55.08/7.26 tff(f479,plain,( 55.08/7.26 (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ nis @ ordsucc) @ iCOMB) = $true)), 55.08/7.26 inference(fool_elimination,[],[f478])). 55.08/7.26 tff(f492,plain,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : is_of @ (ordsucc @ X1) @ (^[X2 : '$i'] : in @ X2 @ nat))), 55.08/7.26 inference(rectify,[],[f109])). 55.08/7.26 tff(f493,plain,( 55.08/7.26 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 55.08/7.26 inference(fool_elimination,[],[f492])). 55.08/7.26 tff(f518,plain,( 55.08/7.26 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : lessis @ X1 @ X3 => moreis @ X3 @ X1))), 55.08/7.26 inference(rectify,[],[f204])). 55.08/7.28 tff(f519,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 55.08/7.28 inference(fool_elimination,[],[f518])). 55.08/7.28 tff(f526,plain,( 55.08/7.28 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X1 @ X3 => d_29_ii @ X3 @ X1))), 55.08/7.28 inference(rectify,[],[f223])). 55.08/7.28 tff(f527,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 55.08/7.28 inference(fool_elimination,[],[f526])). 55.08/7.28 tff(f528,plain,( 55.08/7.28 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ X1 @ X3 => iii @ X3 @ X1))), 55.08/7.28 inference(rectify,[],[f194])). 55.08/7.28 tff(f529,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 55.08/7.28 inference(fool_elimination,[],[f528])). 55.08/7.28 tff(f530,plain,( 55.08/7.28 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : nis @ X1 @ X3 => nis @ (ordsucc @ X1) @ (ordsucc @ X3)))), 55.08/7.28 inference(rectify,[],[f213])). 55.08/7.28 tff(f531,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ nis)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ nis @ ordsucc)) @ ordsucc))) = $true)), 55.08/7.28 inference(fool_elimination,[],[f530])). 55.08/7.28 tff(f532,plain,( 55.08/7.28 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (d_29_ii @ X1 @ X3) => lessis @ X1 @ X3))), 55.08/7.28 inference(rectify,[],[f220])). 55.08/7.28 tff(f533,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 55.08/7.28 inference(fool_elimination,[],[f532])). 55.08/7.28 tff(f534,plain,( 55.08/7.28 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : n_is @ (ordsucc @ X1) @ (ordsucc @ X3) => n_is @ X1 @ X3))), 55.08/7.28 inference(rectify,[],[f163])). 55.08/7.28 tff(f535,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_is @ ordsucc)) @ ordsucc))) @ n_is)) = $true)), 55.08/7.28 inference(fool_elimination,[],[f534])). 55.08/7.28 tff(f548,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) != $true)), 55.08/7.28 inference(flattening,[],[f226])). 55.08/7.28 tff(f561,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) != $true)), 55.08/7.28 inference(cnf_transformation,[],[f548])). 55.08/7.28 tff(f566,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_is @ ordsucc)) @ ordsucc))) @ n_is)) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f535])). 55.08/7.28 tff(f578,plain,( 55.08/7.28 ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (bCOMB @ (all_of @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )), 55.08/7.28 inference(cnf_transformation,[],[f417])). 55.08/7.28 tff(f581,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f519])). 55.08/7.28 tff(f582,plain,( 55.08/7.28 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ d_29_ii)) @ n_is = moreis), 55.08/7.28 inference(cnf_transformation,[],[f308])). 55.08/7.28 tff(f583,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f529])). 55.08/7.28 tff(f584,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f527])). 55.08/7.28 tff(f588,plain,( 55.08/7.28 bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop) = iii), 55.08/7.28 inference(cnf_transformation,[],[f328])). 55.08/7.28 tff(f589,plain,( 55.08/7.28 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ iii)) @ n_is = lessis), 55.08/7.28 inference(cnf_transformation,[],[f309])). 55.08/7.28 tff(f590,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f533])). 55.08/7.28 tff(f594,plain,( 55.08/7.28 bCOMB @ (bCOMB @ d_not) @ n_is = nis), 55.08/7.28 inference(cnf_transformation,[],[f338])). 55.08/7.28 tff(f596,plain,( 55.08/7.28 bCOMB @ imp @ d_not = l_or), 55.08/7.28 inference(cnf_transformation,[],[f321])). 55.08/7.28 tff(f599,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ nis)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ nis @ ordsucc)) @ ordsucc))) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f531])). 55.08/7.28 tff(f602,plain,( 55.08/7.28 ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) = $true)) )), 55.08/7.28 inference(cnf_transformation,[],[f411])). 55.08/7.28 tff(f603,plain,( 55.08/7.28 ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) = $true)) )), 55.08/7.28 inference(cnf_transformation,[],[f407])). 55.08/7.28 tff(f604,plain,( 55.08/7.28 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 55.08/7.28 inference(cnf_transformation,[],[f361])). 55.08/7.28 tff(f605,plain,( 55.08/7.28 imp = vIMP), 55.08/7.28 inference(cnf_transformation,[],[f345])). 55.08/7.28 tff(f608,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f493])). 55.08/7.28 tff(f613,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ nis @ ordsucc) @ iCOMB) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f479])). 55.08/7.28 tff(f614,plain,( 55.08/7.28 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ nis @ ordsucc) @ n_1) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f477])). 55.08/7.28 tff(f615,plain,( 55.08/7.28 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true)), 55.08/7.28 inference(cnf_transformation,[],[f475])). 55.08/7.28 tff(f616,plain,( 55.08/7.28 e_is @ nat = n_is), 55.08/7.28 inference(cnf_transformation,[],[f96])). 55.08/7.28 tff(f617,plain,( 55.08/7.28 ( ! [X0] : ((all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (e_is @ X0) @ iCOMB) = $true)) )), 55.08/7.28 inference(cnf_transformation,[],[f385])). 55.08/7.28 tff(f618,plain,( 55.08/7.28 bCOMB @ vIMP @ d_not = l_or), 55.08/7.28 inference(definition_unfolding,[],[f596,f605])). 55.08/7.28 tff(f619,plain,( 55.08/7.28 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat) = moreis), 55.08/7.28 inference(definition_unfolding,[],[f582,f618,f616])). 55.08/7.28 tff(f620,plain,( 55.08/7.28 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat) = lessis), 55.08/7.28 inference(definition_unfolding,[],[f589,f618,f588,f616])). 55.08/7.28 tff(f621,plain,( 55.08/7.28 bCOMB @ (bCOMB @ d_not) @ (e_is @ nat) = nis), 55.08/7.28 inference(definition_unfolding,[],[f594,f616])). 55.08/7.28 tff(f625,plain,( 55.08/7.28 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat)))) != $true)), 55.08/7.28 inference(definition_unfolding,[],[f561,f604,f604,f588,f619])). 55.08/7.28 tff(f628,plain,( 55.08/7.28 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (e_is @ nat) @ ordsucc)) @ ordsucc))) @ (e_is @ nat))) = $true)), 55.08/7.28 inference(definition_unfolding,[],[f566,f604,f604,f616,f616])). 55.08/7.28 tff(f634,plain,( 55.08/7.28 ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )), 55.08/7.28 inference(definition_unfolding,[],[f578,f604,f604])). 55.08/7.28 tff(f637,plain,( 55.08/7.28 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat))))) = $true)), 55.08/7.28 inference(definition_unfolding,[],[f581,f604,f604,f620,f619])). 55.08/7.28 tff(f638,plain,( 55.08/7.28 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop))))) = $true)), 55.08/7.28 inference(definition_unfolding,[],[f583,f604,f604,f588])). 55.08/7.28 tff(f639,plain,( 55.08/7.28 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (cCOMB @ d_29_ii))) = $true)), 55.08/7.28 inference(definition_unfolding,[],[f584,f604,f604,f588])). 55.08/7.28 tff(f643,plain,( 55.08/7.28 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat)))) = $true)), 55.08/7.28 inference(definition_unfolding,[],[f590,f604,f604,f620])). 55.08/7.29 tff(f646,plain,( 55.08/7.29 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc)) @ ordsucc))) = $true)), 55.08/7.29 inference(definition_unfolding,[],[f599,f604,f604,f621,f621])). 55.08/7.29 tff(f649,plain,( 55.08/7.29 ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) = $true)) )), 55.08/7.29 inference(definition_unfolding,[],[f602,f604])). 55.08/7.29 tff(f650,plain,( 55.08/7.29 ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) = $true)) )), 55.08/7.29 inference(definition_unfolding,[],[f603,f604])). 55.08/7.29 tff(f652,plain,( 55.08/7.29 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 55.08/7.29 inference(definition_unfolding,[],[f608,f604])). 55.08/7.29 tff(f657,plain,( 55.08/7.29 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ iCOMB) = $true)), 55.08/7.29 inference(definition_unfolding,[],[f613,f604,f621])). 55.08/7.29 tff(f658,plain,( 55.08/7.29 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ n_1) = $true)), 55.08/7.29 inference(definition_unfolding,[],[f614,f604,f621])). 55.08/7.29 tff(f659,plain,( 55.08/7.29 ( ! [X0] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (sCOMB @ (e_is @ X0) @ iCOMB) = $true)) )), 55.08/7.29 inference(definition_unfolding,[],[f617,f604])). 55.08/7.29 tff(f660,plain,( 55.08/7.29 ( ! [X0] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (e_is @ X0) @ iCOMB)) = $true)) )), 55.08/7.29 inference(combinator_demodulation,[],[f659])). 55.08/7.29 tff(f661,plain,( 55.08/7.29 ( ! [X0,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (e_is @ X0) @ iCOMB) @ X1 = $true)) )), 55.08/7.29 inference(pi_clausification,[],[f660])). 55.08/7.29 tff(f662,plain,( 55.08/7.29 ( ! [X0,X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ X0)) @ (e_is @ X0 @ X1 @ X1) = $true)) )), 55.08/7.29 inference(combinator_demodulation,[],[f661])). 55.08/7.29 tff(f663,plain,( 55.08/7.29 ( ! [X0,X1] : ((is_of @ X1 @ (cCOMB @ in @ X0) = $false) | (e_is @ X0 @ X1 @ X1 = $true)) )), 55.08/7.29 inference(binary_proxy_clausification,[],[f662])). 55.08/7.29 tff(f664,plain,( 55.08/7.29 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ n_1)) = $true)), 55.08/7.29 inference(combinator_demodulation,[],[f658])). 55.08/7.29 tff(f665,plain,( 55.08/7.29 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ n_1) @ X1 = $true)) )), 55.08/7.29 inference(pi_clausification,[],[f664])). 55.08/7.29 tff(f666,plain,( 55.08/7.29 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (d_not @ (e_is @ nat @ (ordsucc @ X1) @ n_1)) = $true)) )), 55.08/7.29 inference(combinator_demodulation,[],[f665])). 55.08/7.29 tff(f667,plain,( 55.08/7.29 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X1) @ n_1) = $true)) )), 55.08/7.29 inference(binary_proxy_clausification,[],[f666])). 55.08/7.31 tff(f668,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ iCOMB)) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f657])). 55.08/7.31 tff(f669,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ iCOMB) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f668])). 55.08/7.31 tff(f670,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (d_not @ (e_is @ nat @ (ordsucc @ X1) @ X1)) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f669])). 55.08/7.31 tff(f671,plain,( 55.08/7.31 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X1) @ X1) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f670])). 55.08/7.31 tff(f688,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat))) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f652])). 55.08/7.31 tff(f689,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f688])). 55.08/7.31 tff(f690,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (is_of @ (ordsucc @ X1) @ (cCOMB @ in @ nat)) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f689])). 55.08/7.31 tff(f691,plain,( 55.08/7.31 ( ! [X1] : ((is_of @ (ordsucc @ X1) @ (cCOMB @ in @ nat) = $true) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f690])). 55.08/7.31 tff(f699,plain,( 55.08/7.31 ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1)))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f650])). 55.08/7.31 tff(f700,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X2 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f699])). 55.08/7.31 tff(f701,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (is_of @ X2 @ (cCOMB @ in @ X0)) @ (vIMP @ (X1 @ X2) @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f700])). 55.08/7.31 tff(f702,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (X1 @ X2) @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1)) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f701])). 55.08/7.31 tff(f703,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (X1 @ X2 = $false) | (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f702])). 55.08/7.31 tff(f704,plain,( 55.08/7.31 ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1)) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f649])). 55.08/7.31 tff(f705,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) @ X2 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f704])). 55.08/7.31 tff(f706,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (is_of @ X2 @ (cCOMB @ in @ X0)) @ (vIMP @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1)) @ (X1 @ X2)) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f705])). 55.08/7.31 tff(f707,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1)) @ (X1 @ X2) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f706])). 55.08/7.31 tff(f708,plain,( 55.08/7.31 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1) = $false) | (X1 @ X2 = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f707])). 55.08/7.31 tff(f726,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc)) @ ordsucc)))) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f646])). 55.08/7.31 tff(f727,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc)) @ ordsucc))) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f726])). 55.08/7.31 tff(f728,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (e_is @ nat @ X1))) @ (bCOMB @ (bCOMB @ d_not @ (e_is @ nat @ (ordsucc @ X1))) @ ordsucc)))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f727])). 55.08/7.31 tff(f729,plain,( 55.08/7.31 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (e_is @ nat @ X1))) @ (bCOMB @ (bCOMB @ d_not @ (e_is @ nat @ (ordsucc @ X1))) @ ordsucc))) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f728])). 55.08/7.31 tff(f730,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (e_is @ nat @ X1))) @ (bCOMB @ (bCOMB @ d_not @ (e_is @ nat @ (ordsucc @ X1))) @ ordsucc)) @ X2 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f729])). 55.08/7.31 tff(f731,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_not @ (e_is @ nat @ X1 @ X2)) @ (d_not @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f730])). 55.08/7.31 tff(f732,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_not @ (e_is @ nat @ X1 @ X2)) @ (d_not @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2))) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f731])). 55.08/7.31 tff(f733,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ X1 @ X2) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f732])). 55.08/7.31 tff(f755,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat))))) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f643])). 55.08/7.31 tff(f756,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat)))) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f755])). 55.08/7.31 tff(f757,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (e_is @ nat @ X1))))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f756])). 55.08/7.31 tff(f758,plain,( 55.08/7.31 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (e_is @ nat @ X1)))) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f757])). 55.08/7.31 tff(f759,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (e_is @ nat @ X1))) @ X2 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f758])). 55.08/7.31 tff(f760,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_not @ (d_29_ii @ X1 @ X2)) @ (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f759])). 55.08/7.31 tff(f761,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_not @ (d_29_ii @ X1 @ X2)) @ (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2)) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f760])). 55.08/7.31 tff(f762,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (d_not @ (d_29_ii @ X1 @ X2) = $false) | (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f761])). 55.08/7.31 tff(f763,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (d_29_ii @ X1 @ X2) = $false) | (d_not @ (n_some @ (diffprop @ X2 @ X1)) = $false) | (e_is @ nat @ X1 @ X2 = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f762])). 55.08/7.31 tff(f785,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (cCOMB @ d_29_ii)))) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f639])). 55.08/7.31 tff(f786,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (cCOMB @ d_29_ii))) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f785])). 55.08/7.31 tff(f787,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (cCOMB @ d_29_ii @ X1)))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f786])). 55.08/7.31 tff(f788,plain,( 55.08/7.31 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (cCOMB @ d_29_ii @ X1))) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f787])). 55.08/7.31 tff(f789,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (cCOMB @ d_29_ii @ X1)) @ X2 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f788])). 55.08/7.31 tff(f790,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (n_some @ (diffprop @ X2 @ X1)) @ (d_29_ii @ X2 @ X1)) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f789])). 55.08/7.31 tff(f791,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (n_some @ (diffprop @ X2 @ X1)) @ (d_29_ii @ X2 @ X1) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f790])). 55.08/7.31 tff(f792,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ X2 @ X1) = $false) | (d_29_ii @ X2 @ X1 = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f791])). 55.08/7.31 tff(f793,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))))) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f638])). 55.08/7.31 tff(f794,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop))))) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f793])). 55.08/7.31 tff(f795,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)) @ X1)))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f794])). 55.08/7.31 tff(f796,plain,( 55.08/7.31 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)) @ X1))) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f795])). 55.08/7.31 tff(f797,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)) @ X1)) @ X2 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f796])). 55.08/7.31 tff(f798,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_29_ii @ X1 @ X2) @ (n_some @ (diffprop @ X1 @ X2))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f797])). 55.08/7.31 tff(f799,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_29_ii @ X1 @ X2) @ (n_some @ (diffprop @ X1 @ X2)) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f798])). 55.08/7.31 tff(f800,plain,( 55.08/7.31 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_29_ii @ X1 @ X2 = $false) | (n_some @ (diffprop @ X1 @ X2) = $true)) )), 55.08/7.31 inference(binary_proxy_clausification,[],[f799])). 55.08/7.31 tff(f801,plain,( 55.08/7.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat)))))) = $true)), 55.08/7.31 inference(combinator_demodulation,[],[f637])). 55.08/7.31 tff(f802,plain,( 55.08/7.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop)))) @ (e_is @ nat)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat))))) @ X1 = $true)) )), 55.08/7.31 inference(pi_clausification,[],[f801])). 55.08/7.31 tff(f803,plain,( 55.08/7.31 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (e_is @ nat @ X1))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat)) @ X1)))) = $true)) )), 55.08/7.31 inference(combinator_demodulation,[],[f802])). 55.52/7.31 tff(f804,plain,( 55.52/7.31 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (e_is @ nat @ X1))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat)) @ X1))) = $true)) )), 55.52/7.31 inference(binary_proxy_clausification,[],[f803])). 55.52/7.31 tff(f805,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (cCOMB @ diffprop @ X1))) @ (e_is @ nat @ X1))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat)) @ X1)) @ X2 = $true)) )), 55.52/7.31 inference(pi_clausification,[],[f804])). 55.52/7.31 tff(f806,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2)) @ (vIMP @ (d_not @ (d_29_ii @ X2 @ X1)) @ (e_is @ nat @ X2 @ X1))) = $true)) )), 55.52/7.31 inference(combinator_demodulation,[],[f805])). 55.52/7.31 tff(f807,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2)) @ (vIMP @ (d_not @ (d_29_ii @ X2 @ X1)) @ (e_is @ nat @ X2 @ X1)) = $true)) )), 55.52/7.31 inference(binary_proxy_clausification,[],[f806])). 55.52/7.31 tff(f808,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2) = $false) | (vIMP @ (d_not @ (d_29_ii @ X2 @ X1)) @ (e_is @ nat @ X2 @ X1) = $true)) )), 55.52/7.31 inference(binary_proxy_clausification,[],[f807])). 55.52/7.31 tff(f809,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_not @ (n_some @ (diffprop @ X2 @ X1))) @ (e_is @ nat @ X1 @ X2) = $false) | (d_not @ (d_29_ii @ X2 @ X1) = $false) | (e_is @ nat @ X2 @ X1 = $true)) )), 55.52/7.31 inference(binary_proxy_clausification,[],[f808])). 55.52/7.31 tff(f810,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ X2 @ X1)) = $true) | (d_not @ (d_29_ii @ X2 @ X1) = $false) | (e_is @ nat @ X2 @ X1 = $true)) )), 55.52/7.31 inference(binary_proxy_clausification,[],[f809])). 55.52/7.31 tff(f811,plain,( 55.52/7.31 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X1 @ X2 = $false) | (d_not @ (d_29_ii @ X2 @ X1) = $false) | (e_is @ nat @ X2 @ X1 = $true)) )), 55.52/7.31 inference(binary_proxy_clausification,[],[f809])). 55.52/7.33 tff(f833,plain,( 55.52/7.33 ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1)))) = $true)) )), 55.52/7.33 inference(combinator_demodulation,[],[f634])). 55.52/7.33 tff(f834,plain,( 55.52/7.33 ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) @ X2 = $true)) )), 55.52/7.33 inference(pi_clausification,[],[f833])). 55.52/7.33 tff(f835,plain,( 55.52/7.33 ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (is_of @ X2 @ (cCOMB @ in @ X0)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1)))) = $true)) )), 55.52/7.33 inference(combinator_demodulation,[],[f834])). 55.52/7.33 tff(f836,plain,( 55.52/7.33 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1))) = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f835])). 55.52/7.33 tff(f837,plain,( 55.52/7.33 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1)) @ X3 = $true)) )), 55.52/7.33 inference(pi_clausification,[],[f836])). 55.52/7.33 tff(f838,plain,( 55.52/7.33 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (is_of @ X3 @ (cCOMB @ in @ X0)) @ (vIMP @ (X1 @ X2) @ (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3))) = $true)) )), 55.52/7.33 inference(combinator_demodulation,[],[f837])). 55.52/7.33 tff(f839,plain,( 55.52/7.33 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (is_of @ X3 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (X1 @ X2) @ (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3)) = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f838])). 55.52/7.33 tff(f840,plain,( 55.52/7.33 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (is_of @ X3 @ (cCOMB @ in @ X0) = $false) | (X1 @ X2 = $false) | (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3) = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f839])). 55.52/7.33 tff(f841,plain,( 55.52/7.33 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X3 @ (cCOMB @ in @ X0) = $false) | (is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (X1 @ X2 = $false) | (e_is @ X0 @ X2 @ X3 = $false) | (X1 @ X3 = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f840])). 55.52/7.33 tff(f877,plain,( 55.52/7.33 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (e_is @ nat) @ ordsucc)) @ ordsucc))) @ (e_is @ nat)))) = $true)), 55.52/7.33 inference(combinator_demodulation,[],[f628])). 55.52/7.33 tff(f878,plain,( 55.52/7.33 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (e_is @ nat) @ ordsucc)) @ ordsucc))) @ (e_is @ nat))) @ X1 = $true)) )), 55.52/7.33 inference(pi_clausification,[],[f877])). 55.52/7.33 tff(f879,plain,( 55.52/7.33 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (e_is @ nat @ (ordsucc @ X1)) @ ordsucc)) @ (e_is @ nat @ X1)))) = $true)) )), 55.52/7.33 inference(combinator_demodulation,[],[f878])). 55.52/7.33 tff(f880,plain,( 55.52/7.33 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (e_is @ nat @ (ordsucc @ X1)) @ ordsucc)) @ (e_is @ nat @ X1))) = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f879])). 55.52/7.33 tff(f881,plain,( 55.52/7.33 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (e_is @ nat @ (ordsucc @ X1)) @ ordsucc)) @ (e_is @ nat @ X1)) @ X2 = $true)) )), 55.52/7.33 inference(pi_clausification,[],[f880])). 55.52/7.33 tff(f882,plain,( 55.52/7.33 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)) @ (e_is @ nat @ X1 @ X2)) = $true)) )), 55.52/7.33 inference(combinator_demodulation,[],[f881])). 55.52/7.33 tff(f883,plain,( 55.52/7.33 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2)) @ (e_is @ nat @ X1 @ X2) = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f882])). 55.52/7.33 tff(f884,plain,( 55.52/7.33 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ X2) = $false) | (e_is @ nat @ X1 @ X2 = $true)) )), 55.52/7.33 inference(binary_proxy_clausification,[],[f883])). 55.52/7.33 tff(f906,plain,( 55.52/7.33 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat))))) != $true)), 55.52/7.33 inference(combinator_demodulation,[],[f625])). 55.52/7.33 tff(f907,plain,( 55.52/7.33 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ d_29_ii)) @ (e_is @ nat)))) @ sK4 = $false)), 55.52/7.33 inference(sigma_clausification,[],[f906])). 55.52/7.33 tff(f908,plain,( 55.52/7.33 (vIMP @ (is_of @ sK4 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (bCOMB @ n_some @ (cCOMB @ diffprop @ sK4)))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (d_29_ii @ sK4)) @ (e_is @ nat @ sK4))))) = $false)), 55.52/7.33 inference(combinator_demodulation,[],[f907])). 55.52/7.33 tff(f909,plain,( 55.52/7.33 (is_of @ sK4 @ (cCOMB @ in @ nat) = $true)), 55.52/7.33 inference(binary_proxy_clausification,[],[f908])). 55.52/7.33 tff(f910,plain,( 55.52/7.33 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (bCOMB @ n_some @ (cCOMB @ diffprop @ sK4)))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (d_29_ii @ sK4)) @ (e_is @ nat @ sK4)))) = $false)), 55.52/7.33 inference(binary_proxy_clausification,[],[f908])). 55.52/7.33 tff(f911,plain,( 55.52/7.33 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (bCOMB @ n_some @ (cCOMB @ diffprop @ sK4)))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (d_29_ii @ sK4)) @ (e_is @ nat @ sK4))) @ sK5 = $false)), 55.52/7.33 inference(sigma_clausification,[],[f910])). 55.52/7.33 tff(f912,plain,( 55.52/7.33 (vIMP @ (is_of @ sK5 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4))) @ (vIMP @ (d_not @ (d_29_ii @ sK4 @ sK5)) @ (e_is @ nat @ sK4 @ sK5))) = $false)), 55.52/7.33 inference(combinator_demodulation,[],[f911])). 55.52/7.33 tff(f913,plain,( 55.52/7.33 (is_of @ sK5 @ (cCOMB @ in @ nat) = $true)), 55.52/7.33 inference(binary_proxy_clausification,[],[f912])). 55.52/7.33 tff(f914,plain,( 55.52/7.33 (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4))) @ (vIMP @ (d_not @ (d_29_ii @ sK4 @ sK5)) @ (e_is @ nat @ sK4 @ sK5)) = $false)), 55.52/7.33 inference(binary_proxy_clausification,[],[f912])). 55.52/7.33 tff(f915,plain,( 55.52/7.33 (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $true)), 55.52/7.33 inference(binary_proxy_clausification,[],[f914])). 55.52/7.33 tff(f916,plain,( 55.52/7.33 (vIMP @ (d_not @ (d_29_ii @ sK4 @ sK5)) @ (e_is @ nat @ sK4 @ sK5) = $false)), 55.52/7.33 inference(binary_proxy_clausification,[],[f914])). 55.52/7.33 tff(f917,plain,( 55.52/7.33 (d_not @ (d_29_ii @ sK4 @ sK5) = $true)), 55.52/7.33 inference(binary_proxy_clausification,[],[f916])). 55.52/7.33 tff(f918,plain,( 55.52/7.33 (e_is @ nat @ sK4 @ sK5 = $false)), 55.52/7.33 inference(binary_proxy_clausification,[],[f916])). 55.52/7.33 tff(f981,plain,( 55.52/7.33 ($false = $true) | (e_is @ nat @ n_1 @ n_1 = $true)), 55.52/7.33 inference(superposition,[],[f663,f615])). 55.52/7.33 tff(f982,plain,( 55.52/7.33 ($false = $true) | (e_is @ nat @ sK5 @ sK5 = $true)), 55.52/7.33 inference(superposition,[],[f663,f913])). 55.52/7.33 tff(f989,plain,( 55.52/7.33 (e_is @ nat @ sK5 @ sK5 = $true)), 55.52/7.33 inference(trivial_inequality_removal,[],[f982])). 55.52/7.33 tff(f990,plain,( 55.52/7.33 (e_is @ nat @ n_1 @ n_1 = $true)), 55.52/7.33 inference(trivial_inequality_removal,[],[f981])). 55.52/7.33 tff(f994,plain,( 55.52/7.33 ($false = $true) | (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ n_1) = $true)), 55.52/7.33 inference(superposition,[],[f667,f909])). 55.52/7.33 tff(f1003,plain,( 55.52/7.33 (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ n_1) = $true)), 55.52/7.33 inference(trivial_inequality_removal,[],[f994])). 55.52/7.33 tff(f1007,plain,( 55.52/7.33 ($false = $true) | (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ sK4) = $true)), 55.52/7.33 inference(superposition,[],[f671,f909])). 55.52/7.33 tff(f1016,plain,( 55.52/7.33 (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ sK4) = $true)), 55.52/7.33 inference(trivial_inequality_removal,[],[f1007])). 55.52/7.33 tff(f1091,plain,( 55.52/7.33 ( ! [X6] : (($false = $true) | (is_of @ X6 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ (ordsucc @ X6)) @ n_1) = $true)) )), 55.52/7.33 inference(superposition,[],[f691,f667])). 55.52/7.33 tff(f1092,plain,( 55.52/7.33 ( ! [X7] : (($false = $true) | (is_of @ X7 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ (ordsucc @ X7) @ (ordsucc @ X7) = $true)) )), 55.52/7.33 inference(superposition,[],[f691,f663])). 55.52/7.33 tff(f1107,plain,( 55.52/7.33 ( ! [X7] : ((is_of @ X7 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ (ordsucc @ X7) @ (ordsucc @ X7) = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1092])). 55.52/7.33 tff(f1108,plain,( 55.52/7.33 ( ! [X6] : ((is_of @ X6 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ (ordsucc @ X6)) @ n_1) = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1091])). 55.52/7.33 tff(f1116,plain,( 55.52/7.33 ( ! [X8:'$i' -> '$o'] : (($false = $true) | (X8 @ n_1 = $false) | (esti @ nat @ n_1 @ (d_Sep @ nat @ X8) = $true)) )), 55.52/7.33 inference(superposition,[],[f703,f615])). 55.52/7.33 tff(f1118,plain,( 55.52/7.33 ( ! [X10:'$i' -> '$o'] : (($false = $true) | (X10 @ sK5 = $false) | (esti @ nat @ sK5 @ (d_Sep @ nat @ X10) = $true)) )), 55.52/7.33 inference(superposition,[],[f703,f913])). 55.52/7.33 tff(f1127,plain,( 55.52/7.33 ( ! [X10:'$i' -> '$o'] : ((esti @ nat @ sK5 @ (d_Sep @ nat @ X10) = $true) | (X10 @ sK5 = $false)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1118])). 55.52/7.33 tff(f1129,plain,( 55.52/7.33 ( ! [X8:'$i' -> '$o'] : ((esti @ nat @ n_1 @ (d_Sep @ nat @ X8) = $true) | (X8 @ n_1 = $false)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1116])). 55.52/7.33 tff(f1133,plain,( 55.52/7.33 ( ! [X8:'$i' -> '$o'] : (($false = $true) | (esti @ nat @ n_1 @ (d_Sep @ nat @ X8) = $false) | (X8 @ n_1 = $true)) )), 55.52/7.33 inference(superposition,[],[f708,f615])). 55.52/7.33 tff(f1135,plain,( 55.52/7.33 ( ! [X10:'$i' -> '$o'] : (($false = $true) | (esti @ nat @ sK5 @ (d_Sep @ nat @ X10) = $false) | (X10 @ sK5 = $true)) )), 55.52/7.33 inference(superposition,[],[f708,f913])). 55.52/7.33 tff(f1144,plain,( 55.52/7.33 ( ! [X10:'$i' -> '$o'] : ((esti @ nat @ sK5 @ (d_Sep @ nat @ X10) = $false) | (X10 @ sK5 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1135])). 55.52/7.33 tff(f1146,plain,( 55.52/7.33 ( ! [X8:'$i' -> '$o'] : ((esti @ nat @ n_1 @ (d_Sep @ nat @ X8) = $false) | (X8 @ n_1 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1133])). 55.52/7.33 tff(f1177,plain,( 55.52/7.33 ( ! [X2,X0,X1] : ((is_of @ X1 @ (cCOMB @ in @ X2) = $false) | (is_of @ X0 @ (cCOMB @ in @ X2) = $false) | (e_is @ X2 @ X0 @ X1 = $false) | X0 = X1) )), 55.52/7.33 inference(leibniz_equality_elimination,[],[f841])). 55.52/7.33 tff(f1213,plain,( 55.52/7.33 ( ! [X9] : (($false = $true) | (is_of @ X9 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X9 @ n_1 = $false) | n_1 = X9) )), 55.52/7.33 inference(superposition,[],[f1177,f615])). 55.52/7.33 tff(f1214,plain,( 55.52/7.33 ( ! [X10] : (($false = $true) | (is_of @ X10 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X10 @ sK4 = $false) | sK4 = X10) )), 55.52/7.33 inference(superposition,[],[f1177,f909])). 55.52/7.33 tff(f1226,plain,( 55.52/7.33 ( ! [X10] : ((is_of @ X10 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X10 @ sK4 = $false) | sK4 = X10) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1214])). 55.52/7.33 tff(f1227,plain,( 55.52/7.33 ( ! [X9] : ((is_of @ X9 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X9 @ n_1 = $false) | n_1 = X9) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1213])). 55.52/7.33 tff(f1231,plain,( 55.52/7.33 ( ! [X10] : (($false = $true) | (is_of @ X10 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ n_1 @ X10) = $false) | (d_29_ii @ n_1 @ X10 = $true)) )), 55.52/7.33 inference(superposition,[],[f792,f615])). 55.52/7.33 tff(f1232,plain,( 55.52/7.33 ( ! [X11] : (($false = $true) | (is_of @ X11 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ sK4 @ X11) = $false) | (d_29_ii @ sK4 @ X11 = $true)) )), 55.52/7.33 inference(superposition,[],[f792,f909])). 55.52/7.33 tff(f1245,plain,( 55.52/7.33 ( ! [X11] : ((is_of @ X11 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ sK4 @ X11) = $false) | (d_29_ii @ sK4 @ X11 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1232])). 55.52/7.33 tff(f1246,plain,( 55.52/7.33 ( ! [X10] : ((is_of @ X10 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ n_1 @ X10) = $false) | (d_29_ii @ n_1 @ X10 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1231])). 55.52/7.33 tff(f1250,plain,( 55.52/7.33 ( ! [X11] : (($false = $true) | (is_of @ X11 @ (cCOMB @ in @ nat) = $false) | (d_29_ii @ X11 @ n_1 = $false) | (n_some @ (diffprop @ X11 @ n_1) = $true)) )), 55.52/7.33 inference(superposition,[],[f800,f615])). 55.52/7.33 tff(f1251,plain,( 55.52/7.33 ( ! [X12] : (($false = $true) | (is_of @ X12 @ (cCOMB @ in @ nat) = $false) | (d_29_ii @ X12 @ sK4 = $false) | (n_some @ (diffprop @ X12 @ sK4) = $true)) )), 55.52/7.33 inference(superposition,[],[f800,f909])). 55.52/7.33 tff(f1264,plain,( 55.52/7.33 ( ! [X12] : ((is_of @ X12 @ (cCOMB @ in @ nat) = $false) | (d_29_ii @ X12 @ sK4 = $false) | (n_some @ (diffprop @ X12 @ sK4) = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1251])). 55.52/7.33 tff(f1265,plain,( 55.52/7.33 ( ! [X11] : ((is_of @ X11 @ (cCOMB @ in @ nat) = $false) | (d_29_ii @ X11 @ n_1 = $false) | (n_some @ (diffprop @ X11 @ n_1) = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1250])). 55.52/7.33 tff(f1292,plain,( 55.52/7.33 spl2_5 <=> (e_is @ nat @ (ordsucc @ sK4) @ sK4 != $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])). 55.52/7.33 tff(f1293,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK4) @ sK4 != $false) | ~spl2_5), 55.52/7.33 inference(avatar_component_clause,[],[f1292])). 55.52/7.33 tff(f1295,plain,( 55.52/7.33 spl2_4 <=> (e_is @ nat @ (ordsucc @ sK4) @ sK4 = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 55.52/7.33 tff(f1296,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK4) @ sK4 = $false) | ~spl2_4), 55.52/7.33 inference(avatar_component_clause,[],[f1295])). 55.52/7.33 tff(f1301,plain,( 55.52/7.33 spl2_6 <=> (d_not @ $true = $true)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 55.52/7.33 tff(f1302,plain,( 55.52/7.33 (d_not @ $true = $true) | ~spl2_6), 55.52/7.33 inference(avatar_component_clause,[],[f1301])). 55.52/7.33 tff(f1304,plain,( 55.52/7.33 (d_not @ $false = $true) | ~spl2_4), 55.52/7.33 inference(backward_demodulation,[],[f1296,f1016])). 55.52/7.33 tff(f1315,plain,( 55.52/7.33 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (X1 @ sK5 = $true) | (X1 @ sK5 = $false)) )), 55.52/7.33 inference(superposition,[],[f1144,f1127])). 55.52/7.33 tff(f1318,plain,( 55.52/7.33 ( ! [X1:'$i' -> '$o'] : ((X1 @ sK5 = $true) | (X1 @ sK5 = $false)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1315])). 55.52/7.33 tff(f1345,plain,( 55.52/7.33 (d_not @ $true = $true) | (d_29_ii @ sK4 @ sK5 = $false)), 55.52/7.33 inference(superposition,[],[f917,f1318])). 55.52/7.33 tff(f1365,plain,( 55.52/7.33 spl2_8 <=> (d_29_ii @ sK4 @ sK5 = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 55.52/7.33 tff(f1366,plain,( 55.52/7.33 (d_29_ii @ sK4 @ sK5 = $false) | ~spl2_8), 55.52/7.33 inference(avatar_component_clause,[],[f1365])). 55.52/7.33 tff(f1367,plain,( 55.52/7.33 spl2_8 | spl2_6), 55.52/7.33 inference(avatar_split_clause,[],[f1345,f1301,f1365])). 55.52/7.33 tff(f1383,plain,( 55.52/7.33 ( ! [X0] : (($false != $false) | (is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ X0 @ X0) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X0) @ (ordsucc @ X0)) = $true)) )), 55.52/7.33 inference(equality_factoring,[],[f733])). 55.52/7.33 tff(f1384,plain,( 55.52/7.33 ( ! [X0] : ((is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ X0 @ X0) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X0) @ (ordsucc @ X0)) = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1383])). 55.52/7.33 tff(f1395,plain,( 55.52/7.33 ( ! [X14] : (($false = $true) | (is_of @ X14 @ (cCOMB @ in @ nat) = $false) | (d_not @ (d_29_ii @ X14 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ X14)) = $false) | (e_is @ nat @ X14 @ n_1 = $true)) )), 55.52/7.33 inference(superposition,[],[f763,f615])). 55.52/7.33 tff(f1396,plain,( 55.52/7.33 ( ! [X15] : (($false = $true) | (is_of @ X15 @ (cCOMB @ in @ nat) = $false) | (d_not @ (d_29_ii @ X15 @ sK4) = $false) | (d_not @ (n_some @ (diffprop @ sK4 @ X15)) = $false) | (e_is @ nat @ X15 @ sK4 = $true)) )), 55.52/7.33 inference(superposition,[],[f763,f909])). 55.52/7.33 tff(f1409,plain,( 55.52/7.33 ( ! [X15] : ((is_of @ X15 @ (cCOMB @ in @ nat) = $false) | (d_not @ (d_29_ii @ X15 @ sK4) = $false) | (d_not @ (n_some @ (diffprop @ sK4 @ X15)) = $false) | (e_is @ nat @ X15 @ sK4 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1396])). 55.52/7.33 tff(f1410,plain,( 55.52/7.33 ( ! [X14] : ((is_of @ X14 @ (cCOMB @ in @ nat) = $false) | (d_not @ (d_29_ii @ X14 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ X14)) = $false) | (e_is @ nat @ X14 @ n_1 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f1395])). 55.52/7.33 tff(f1446,plain,( 55.52/7.33 spl2_13 <=> (is_of @ (ordsucc @ sK4) @ (cCOMB @ in @ nat) != $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_13])])). 55.52/7.33 tff(f1447,plain,( 55.52/7.33 (is_of @ (ordsucc @ sK4) @ (cCOMB @ in @ nat) != $false) | ~spl2_13), 55.52/7.33 inference(avatar_component_clause,[],[f1446])). 55.52/7.33 tff(f1449,plain,( 55.52/7.33 spl2_12 <=> (is_of @ (ordsucc @ sK4) @ (cCOMB @ in @ nat) = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_12])])). 55.52/7.33 tff(f1450,plain,( 55.52/7.33 (is_of @ (ordsucc @ sK4) @ (cCOMB @ in @ nat) = $false) | ~spl2_12), 55.52/7.33 inference(avatar_component_clause,[],[f1449])). 55.52/7.33 tff(f1478,plain,( 55.52/7.33 spl2_23 <=> (is_of @ (ordsucc @ sK5) @ (cCOMB @ in @ nat) != $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_23])])). 55.52/7.33 tff(f1479,plain,( 55.52/7.33 (is_of @ (ordsucc @ sK5) @ (cCOMB @ in @ nat) != $false) | ~spl2_23), 55.52/7.33 inference(avatar_component_clause,[],[f1478])). 55.52/7.33 tff(f1481,plain,( 55.52/7.33 spl2_22 <=> (is_of @ (ordsucc @ sK5) @ (cCOMB @ in @ nat) = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_22])])). 55.52/7.33 tff(f1482,plain,( 55.52/7.33 (is_of @ (ordsucc @ sK5) @ (cCOMB @ in @ nat) = $false) | ~spl2_22), 55.52/7.33 inference(avatar_component_clause,[],[f1481])). 55.52/7.33 tff(f1560,plain,( 55.52/7.33 ($false = $true) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | ~spl2_12), 55.52/7.33 inference(superposition,[],[f1450,f691])). 55.52/7.33 tff(f1563,plain,( 55.52/7.33 (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | ~spl2_12), 55.52/7.33 inference(trivial_inequality_removal,[],[f1560])). 55.52/7.33 tff(f1564,plain,( 55.52/7.33 ($false = $true) | ~spl2_12), 55.52/7.33 inference(backward_demodulation,[],[f1563,f909])). 55.52/7.33 tff(f1565,plain,( 55.52/7.33 $false | ~spl2_12), 55.52/7.33 inference(trivial_inequality_removal,[],[f1564])). 55.52/7.33 tff(f1566,plain,( 55.52/7.33 ~spl2_12), 55.52/7.33 inference(avatar_contradiction_clause,[],[f1565])). 55.52/7.33 tff(f1761,plain,( 55.52/7.33 ($false != $false) | (e_is @ nat @ (ordsucc @ sK4) @ (ordsucc @ sK4) = $true) | ~spl2_13), 55.52/7.33 inference(superposition,[],[f1447,f663])). 55.52/7.33 tff(f1762,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK4) @ (ordsucc @ sK4) = $true) | ~spl2_13), 55.52/7.33 inference(trivial_inequality_removal,[],[f1761])). 55.52/7.33 tff(f2089,plain,( 55.52/7.33 ($false = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | ~spl2_22), 55.52/7.33 inference(superposition,[],[f1482,f691])). 55.52/7.33 tff(f2092,plain,( 55.52/7.33 (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | ~spl2_22), 55.52/7.33 inference(trivial_inequality_removal,[],[f2089])). 55.52/7.33 tff(f2093,plain,( 55.52/7.33 ($false = $true) | ~spl2_22), 55.52/7.33 inference(backward_demodulation,[],[f2092,f913])). 55.52/7.33 tff(f2094,plain,( 55.52/7.33 $false | ~spl2_22), 55.52/7.33 inference(trivial_inequality_removal,[],[f2093])). 55.52/7.33 tff(f2095,plain,( 55.52/7.33 ~spl2_22), 55.52/7.33 inference(avatar_contradiction_clause,[],[f2094])). 55.52/7.33 tff(f2677,plain,( 55.52/7.33 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (X1 @ n_1 = $true) | (X1 @ n_1 = $false)) )), 55.52/7.33 inference(superposition,[],[f1146,f1129])). 55.52/7.33 tff(f2680,plain,( 55.52/7.33 ( ! [X1:'$i' -> '$o'] : ((X1 @ n_1 = $true) | (X1 @ n_1 = $false)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f2677])). 55.52/7.33 tff(f2727,plain,( 55.52/7.33 ($false != $false) | (e_is @ nat @ (ordsucc @ sK4) @ n_1 = $false) | ordsucc @ sK4 = n_1 | ~spl2_13), 55.52/7.33 inference(superposition,[],[f1447,f1227])). 55.52/7.33 tff(f2728,plain,( 55.52/7.33 ($false != $false) | (e_is @ nat @ (ordsucc @ sK5) @ n_1 = $false) | ordsucc @ sK5 = n_1 | ~spl2_23), 55.52/7.33 inference(superposition,[],[f1479,f1227])). 55.52/7.33 tff(f2734,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK5) @ n_1 = $false) | ordsucc @ sK5 = n_1 | ~spl2_23), 55.52/7.33 inference(trivial_inequality_removal,[],[f2728])). 55.52/7.33 tff(f2735,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK4) @ n_1 = $false) | ordsucc @ sK4 = n_1 | ~spl2_13), 55.52/7.33 inference(trivial_inequality_removal,[],[f2727])). 55.52/7.33 tff(f2744,plain,( 55.52/7.33 spl2_128 <=> n_1 = sK4), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_128])])). 55.52/7.33 tff(f2745,plain,( 55.52/7.33 n_1 = sK4 | ~spl2_128), 55.52/7.33 inference(avatar_component_clause,[],[f2744])). 55.52/7.33 tff(f2750,plain,( 55.52/7.33 spl2_130 <=> (e_is @ nat @ sK4 @ n_1 = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_130])])). 55.52/7.33 tff(f2751,plain,( 55.52/7.33 (e_is @ nat @ sK4 @ n_1 = $false) | ~spl2_130), 55.52/7.33 inference(avatar_component_clause,[],[f2750])). 55.52/7.33 tff(f2757,plain,( 55.52/7.33 spl2_132 <=> n_1 = sK5), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_132])])). 55.52/7.33 tff(f2758,plain,( 55.52/7.33 n_1 = sK5 | ~spl2_132), 55.52/7.33 inference(avatar_component_clause,[],[f2757])). 55.52/7.33 tff(f2763,plain,( 55.52/7.33 spl2_134 <=> (e_is @ nat @ sK5 @ n_1 = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_134])])). 55.52/7.33 tff(f2764,plain,( 55.52/7.33 (e_is @ nat @ sK5 @ n_1 = $false) | ~spl2_134), 55.52/7.33 inference(avatar_component_clause,[],[f2763])). 55.52/7.33 tff(f2770,plain,( 55.52/7.33 spl2_136 <=> ordsucc @ sK4 = n_1), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_136])])). 55.52/7.33 tff(f2771,plain,( 55.52/7.33 ordsucc @ sK4 = n_1 | ~spl2_136), 55.52/7.33 inference(avatar_component_clause,[],[f2770])). 55.52/7.33 tff(f2776,plain,( 55.52/7.33 spl2_138 <=> (e_is @ nat @ (ordsucc @ sK4) @ n_1 = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_138])])). 55.52/7.33 tff(f2777,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK4) @ n_1 = $false) | ~spl2_138), 55.52/7.33 inference(avatar_component_clause,[],[f2776])). 55.52/7.33 tff(f2778,plain,( 55.52/7.33 spl2_136 | spl2_138 | spl2_13), 55.52/7.33 inference(avatar_split_clause,[],[f2735,f1446,f2776,f2770])). 55.52/7.33 tff(f2783,plain,( 55.52/7.33 spl2_140 <=> ordsucc @ sK5 = n_1), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_140])])). 55.52/7.33 tff(f2784,plain,( 55.52/7.33 ordsucc @ sK5 = n_1 | ~spl2_140), 55.52/7.33 inference(avatar_component_clause,[],[f2783])). 55.52/7.33 tff(f2789,plain,( 55.52/7.33 spl2_142 <=> (e_is @ nat @ (ordsucc @ sK5) @ n_1 = $false)), 55.52/7.33 introduced(avatar_definition,[new_symbols(naming,[spl2_142])])). 55.52/7.33 tff(f2790,plain,( 55.52/7.33 (e_is @ nat @ (ordsucc @ sK5) @ n_1 = $false) | ~spl2_142), 55.52/7.33 inference(avatar_component_clause,[],[f2789])). 55.52/7.33 tff(f2791,plain,( 55.52/7.33 spl2_140 | spl2_142 | spl2_23), 55.52/7.33 inference(avatar_split_clause,[],[f2734,f1478,f2789,f2783])). 55.52/7.33 tff(f2883,plain,( 55.52/7.33 (e_is @ nat @ sK4 @ n_1 = $false) | ~spl2_132), 55.52/7.33 inference(backward_demodulation,[],[f2758,f918])). 55.52/7.33 tff(f2964,plain,( 55.52/7.33 ordsucc @ n_1 = n_1 | (~spl2_128 | ~spl2_136)), 55.52/7.33 inference(backward_demodulation,[],[f2745,f2771])). 55.52/7.33 tff(f2974,plain,( 55.52/7.33 (e_is @ nat @ n_1 @ n_1 = $false) | (~spl2_128 | ~spl2_132)), 55.52/7.33 inference(backward_demodulation,[],[f2745,f2883])). 55.52/7.33 tff(f3018,plain,( 55.52/7.33 ($false = $true) | (~spl2_128 | ~spl2_132)), 55.52/7.33 inference(backward_demodulation,[],[f2974,f990])). 55.52/7.33 tff(f3019,plain,( 55.52/7.33 $false | (~spl2_128 | ~spl2_132)), 55.52/7.33 inference(trivial_inequality_removal,[],[f3018])). 55.52/7.33 tff(f3020,plain,( 55.52/7.33 ~spl2_128 | ~spl2_132), 55.52/7.33 inference(avatar_contradiction_clause,[],[f3019])). 55.52/7.33 tff(f3047,plain,( 55.52/7.33 ( ! [X1] : (($false = $true) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ X1 @ n_1) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ n_1)) = $true)) )), 55.52/7.33 inference(superposition,[],[f733,f615])). 55.52/7.33 tff(f3051,plain,( 55.52/7.33 ( ! [X5] : (($false = $true) | (is_of @ X5 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ (ordsucc @ X5) @ (ordsucc @ n_1) = $false) | (e_is @ nat @ X5 @ n_1 = $true)) )), 55.52/7.33 inference(superposition,[],[f884,f615])). 55.52/7.33 tff(f3063,plain,( 55.52/7.33 ( ! [X5] : ((is_of @ X5 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ (ordsucc @ X5) @ (ordsucc @ n_1) = $false) | (e_is @ nat @ X5 @ n_1 = $true)) )), 55.52/7.33 inference(trivial_inequality_removal,[],[f3051])). 55.52/7.34 tff(f3067,plain,( 55.52/7.34 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ X1 @ n_1) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X1) @ (ordsucc @ n_1)) = $true)) )), 55.52/7.34 inference(trivial_inequality_removal,[],[f3047])). 55.52/7.34 tff(f3565,plain,( 55.52/7.34 spl2_152 <=> (d_29_ii @ n_1 @ sK4 = $true)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_152])])). 55.52/7.34 tff(f3566,plain,( 55.52/7.34 (d_29_ii @ n_1 @ sK4 = $true) | ~spl2_152), 55.52/7.34 inference(avatar_component_clause,[],[f3565])). 55.52/7.34 tff(f3571,plain,( 55.52/7.34 spl2_154 <=> (n_some @ (diffprop @ n_1 @ sK4) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_154])])). 55.52/7.34 tff(f3572,plain,( 55.52/7.34 (n_some @ (diffprop @ n_1 @ sK4) = $false) | ~spl2_154), 55.52/7.34 inference(avatar_component_clause,[],[f3571])). 55.52/7.34 tff(f3844,plain,( 55.52/7.34 spl2_166 <=> (e_is @ nat @ sK4 @ n_1 = $true)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_166])])). 55.52/7.34 tff(f3845,plain,( 55.52/7.34 (e_is @ nat @ sK4 @ n_1 = $true) | ~spl2_166), 55.52/7.34 inference(avatar_component_clause,[],[f3844])). 55.52/7.34 tff(f4012,plain,( 55.52/7.34 (e_is @ nat @ (ordsucc @ n_1) @ n_1 != $false) | (~spl2_5 | ~spl2_128)), 55.52/7.34 inference(forward_demodulation,[],[f1293,f2745])). 55.52/7.34 tff(f4019,plain,( 55.52/7.34 (e_is @ nat @ (ordsucc @ n_1) @ n_1 = $false) | (~spl2_128 | ~spl2_138)), 55.52/7.34 inference(forward_demodulation,[],[f2777,f2745])). 55.52/7.34 tff(f4026,plain,( 55.52/7.34 (d_not @ $false = $true) | ~spl2_138), 55.52/7.34 inference(forward_demodulation,[],[f1003,f2777])). 55.52/7.34 tff(f4032,plain,( 55.52/7.34 ($false = $true) | (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ n_1) = $true)), 55.52/7.34 inference(superposition,[],[f909,f667])). 55.52/7.34 tff(f4050,plain,( 55.52/7.34 ($false = $true) | (e_is @ nat @ sK4 @ n_1 = $false) | n_1 = sK4), 55.52/7.34 inference(superposition,[],[f909,f1227])). 55.52/7.34 tff(f4052,plain,( 55.52/7.34 ($false = $true) | (n_some @ (diffprop @ n_1 @ sK4) = $false) | (d_29_ii @ n_1 @ sK4 = $true)), 55.52/7.34 inference(superposition,[],[f909,f1246])). 55.52/7.34 tff(f4127,plain,( 55.52/7.34 (n_some @ (diffprop @ n_1 @ sK4) = $false) | (d_29_ii @ n_1 @ sK4 = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4052])). 55.52/7.34 tff(f4129,plain,( 55.52/7.34 (e_is @ nat @ sK4 @ n_1 = $false) | n_1 = sK4), 55.52/7.34 inference(trivial_inequality_removal,[],[f4050])). 55.52/7.34 tff(f4147,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ n_1) = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4032])). 55.52/7.34 tff(f4275,plain,( 55.52/7.34 ($false = $true) | (d_not @ (e_is @ nat @ sK4 @ n_1) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ (ordsucc @ n_1)) = $true)), 55.52/7.34 inference(superposition,[],[f3067,f909])). 55.52/7.34 tff(f4282,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ sK4 @ n_1) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ (ordsucc @ n_1)) = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4275])). 55.52/7.34 tff(f4322,plain,( 55.52/7.34 ($false = $true) | (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | (e_is @ nat @ sK4 @ n_1 = $true)), 55.52/7.34 inference(superposition,[],[f1410,f909])). 55.52/7.34 tff(f4325,plain,( 55.52/7.34 ($false = $true) | (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | (e_is @ nat @ sK4 @ n_1 = $true)), 55.52/7.34 inference(superposition,[],[f909,f1410])). 55.52/7.34 tff(f4326,plain,( 55.52/7.34 (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | (e_is @ nat @ sK4 @ n_1 = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4325])). 55.52/7.34 tff(f4329,plain,( 55.52/7.34 (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | (e_is @ nat @ sK4 @ n_1 = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4322])). 55.52/7.34 tff(f4338,plain,( 55.52/7.34 spl2_172 <=> (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_172])])). 55.52/7.34 tff(f4339,plain,( 55.52/7.34 (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | ~spl2_172), 55.52/7.34 inference(avatar_component_clause,[],[f4338])). 55.52/7.34 tff(f4344,plain,( 55.52/7.34 spl2_174 <=> (d_not @ (d_29_ii @ sK4 @ n_1) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_174])])). 55.52/7.34 tff(f4345,plain,( 55.52/7.34 (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | ~spl2_174), 55.52/7.34 inference(avatar_component_clause,[],[f4344])). 55.52/7.34 tff(f4347,plain,( 55.52/7.34 ($false = $true) | (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | ~spl2_130), 55.52/7.34 inference(forward_demodulation,[],[f4326,f2751])). 55.52/7.34 tff(f4348,plain,( 55.52/7.34 (d_not @ (d_29_ii @ sK4 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK4)) = $false) | ~spl2_130), 55.52/7.34 inference(trivial_inequality_removal,[],[f4347])). 55.52/7.34 tff(f4349,plain,( 55.52/7.34 spl2_172 | spl2_174 | ~spl2_130), 55.52/7.34 inference(avatar_split_clause,[],[f4348,f2750,f4344,f4338])). 55.52/7.34 tff(f4351,plain,( 55.52/7.34 spl2_166 | spl2_172 | spl2_174), 55.52/7.34 inference(avatar_split_clause,[],[f4329,f4344,f4338,f3844])). 55.52/7.34 tff(f4356,plain,( 55.52/7.34 spl2_176 <=> (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ (ordsucc @ n_1)) = $true)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_176])])). 55.52/7.34 tff(f4357,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ (ordsucc @ sK4) @ (ordsucc @ n_1)) = $true) | ~spl2_176), 55.52/7.34 inference(avatar_component_clause,[],[f4356])). 55.52/7.34 tff(f4362,plain,( 55.52/7.34 spl2_178 <=> (d_not @ (e_is @ nat @ sK4 @ n_1) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_178])])). 55.52/7.34 tff(f4363,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ sK4 @ n_1) = $false) | ~spl2_178), 55.52/7.34 inference(avatar_component_clause,[],[f4362])). 55.52/7.34 tff(f4365,plain,( 55.52/7.34 spl2_176 | spl2_178), 55.52/7.34 inference(avatar_split_clause,[],[f4282,f4362,f4356])). 55.52/7.34 tff(f4376,plain,( 55.52/7.34 spl2_128 | spl2_130), 55.52/7.34 inference(avatar_split_clause,[],[f4129,f2750,f2744])). 55.52/7.34 tff(f4563,plain,( 55.52/7.34 ($false != $false) | (~spl2_5 | ~spl2_128 | ~spl2_138)), 55.52/7.34 inference(superposition,[],[f4012,f4019])). 55.52/7.34 tff(f4569,plain,( 55.52/7.34 $false | (~spl2_5 | ~spl2_128 | ~spl2_138)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4563])). 55.52/7.34 tff(f4570,plain,( 55.52/7.34 spl2_5 | ~spl2_128 | ~spl2_138), 55.52/7.34 inference(avatar_contradiction_clause,[],[f4569])). 55.52/7.34 tff(f4583,plain,( 55.52/7.34 ( ! [X5] : ((is_of @ X5 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ (ordsucc @ X5) @ n_1 = $false) | (e_is @ nat @ X5 @ n_1 = $true)) ) | (~spl2_128 | ~spl2_136)), 55.52/7.34 inference(backward_demodulation,[],[f2964,f3063])). 55.52/7.34 tff(f4732,plain,( 55.52/7.34 ($false = $true) | (e_is @ nat @ sK5 @ n_1 = $false) | n_1 = sK5), 55.52/7.34 inference(superposition,[],[f913,f1227])). 55.52/7.34 tff(f4748,plain,( 55.52/7.34 ($false = $true) | (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ n_1) = $true)), 55.52/7.34 inference(superposition,[],[f667,f913])). 55.52/7.34 tff(f4762,plain,( 55.52/7.34 ($false = $true) | (e_is @ nat @ (ordsucc @ sK5) @ (ordsucc @ sK5) = $true)), 55.52/7.34 inference(superposition,[],[f1107,f913])). 55.52/7.34 tff(f4763,plain,( 55.52/7.34 ($false = $true) | (d_not @ (e_is @ nat @ (ordsucc @ (ordsucc @ sK5)) @ n_1) = $true)), 55.52/7.34 inference(superposition,[],[f1108,f913])). 55.52/7.34 tff(f4778,plain,( 55.52/7.34 ($false = $true) | (e_is @ nat @ (ordsucc @ sK5) @ n_1 = $false) | (e_is @ nat @ sK5 @ n_1 = $true) | (~spl2_128 | ~spl2_136)), 55.52/7.34 inference(superposition,[],[f4583,f913])). 55.52/7.34 tff(f4791,plain,( 55.52/7.34 (e_is @ nat @ (ordsucc @ sK5) @ n_1 = $false) | (e_is @ nat @ sK5 @ n_1 = $true) | (~spl2_128 | ~spl2_136)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4778])). 55.52/7.34 tff(f4806,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ (ordsucc @ (ordsucc @ sK5)) @ n_1) = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4763])). 55.52/7.34 tff(f4807,plain,( 55.52/7.34 (e_is @ nat @ (ordsucc @ sK5) @ (ordsucc @ sK5) = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4762])). 55.52/7.34 tff(f4821,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ n_1) = $true)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4748])). 55.52/7.34 tff(f4837,plain,( 55.52/7.34 (e_is @ nat @ sK5 @ n_1 = $false) | n_1 = sK5), 55.52/7.34 inference(trivial_inequality_removal,[],[f4732])). 55.52/7.34 tff(f4894,plain,( 55.52/7.34 spl2_186 <=> (d_29_ii @ n_1 @ sK5 = $true)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_186])])). 55.52/7.34 tff(f4895,plain,( 55.52/7.34 (d_29_ii @ n_1 @ sK5 = $true) | ~spl2_186), 55.52/7.34 inference(avatar_component_clause,[],[f4894])). 55.52/7.34 tff(f4900,plain,( 55.52/7.34 spl2_188 <=> (n_some @ (diffprop @ n_1 @ sK5) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_188])])). 55.52/7.34 tff(f4901,plain,( 55.52/7.34 (n_some @ (diffprop @ n_1 @ sK5) = $false) | ~spl2_188), 55.52/7.34 inference(avatar_component_clause,[],[f4900])). 55.52/7.34 tff(f4920,plain,( 55.52/7.34 spl2_194 <=> (n_some @ (diffprop @ sK5 @ n_1) = $true)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_194])])). 55.52/7.34 tff(f4921,plain,( 55.52/7.34 (n_some @ (diffprop @ sK5 @ n_1) = $true) | ~spl2_194), 55.52/7.34 inference(avatar_component_clause,[],[f4920])). 55.52/7.34 tff(f4926,plain,( 55.52/7.34 spl2_196 <=> (d_29_ii @ sK5 @ n_1 = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_196])])). 55.52/7.34 tff(f4927,plain,( 55.52/7.34 (d_29_ii @ sK5 @ n_1 = $false) | ~spl2_196), 55.52/7.34 inference(avatar_component_clause,[],[f4926])). 55.52/7.34 tff(f4940,plain,( 55.52/7.34 spl2_198 <=> (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_198])])). 55.52/7.34 tff(f4941,plain,( 55.52/7.34 (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $false) | ~spl2_198), 55.52/7.34 inference(avatar_component_clause,[],[f4940])). 55.52/7.34 tff(f4946,plain,( 55.52/7.34 spl2_200 <=> (d_not @ (d_29_ii @ sK5 @ n_1) = $false)), 55.52/7.34 introduced(avatar_definition,[new_symbols(naming,[spl2_200])])). 55.52/7.34 tff(f4947,plain,( 55.52/7.34 (d_not @ (d_29_ii @ sK5 @ n_1) = $false) | ~spl2_200), 55.52/7.34 inference(avatar_component_clause,[],[f4946])). 55.52/7.34 tff(f4980,plain,( 55.52/7.34 (e_is @ nat @ n_1 @ n_1 = $false) | (e_is @ nat @ sK5 @ n_1 = $true) | (~spl2_128 | ~spl2_136 | ~spl2_140)), 55.52/7.34 inference(forward_demodulation,[],[f4791,f2784])). 55.52/7.34 tff(f4981,plain,( 55.52/7.34 ($false = $true) | (e_is @ nat @ sK5 @ n_1 = $true) | (~spl2_128 | ~spl2_136 | ~spl2_140)), 55.52/7.34 inference(forward_demodulation,[],[f4980,f990])). 55.52/7.34 tff(f4982,plain,( 55.52/7.34 (e_is @ nat @ sK5 @ n_1 = $true) | (~spl2_128 | ~spl2_136 | ~spl2_140)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4981])). 55.52/7.34 tff(f4983,plain,( 55.52/7.34 ($false = $true) | (~spl2_128 | ~spl2_134 | ~spl2_136 | ~spl2_140)), 55.52/7.34 inference(forward_demodulation,[],[f4982,f2764])). 55.52/7.34 tff(f4984,plain,( 55.52/7.34 $false | (~spl2_128 | ~spl2_134 | ~spl2_136 | ~spl2_140)), 55.52/7.34 inference(trivial_inequality_removal,[],[f4983])). 55.52/7.34 tff(f4985,plain,( 55.52/7.34 ~spl2_128 | ~spl2_134 | ~spl2_136 | ~spl2_140), 55.52/7.34 inference(avatar_contradiction_clause,[],[f4984])). 55.52/7.34 tff(f4992,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ n_1 @ n_1) = $true) | ~spl2_136), 55.52/7.34 inference(forward_demodulation,[],[f4147,f2771])). 55.52/7.34 tff(f4993,plain,( 55.52/7.34 (d_not @ $true = $true) | ~spl2_136), 55.52/7.34 inference(forward_demodulation,[],[f4992,f990])). 55.52/7.34 tff(f5059,plain,( 55.52/7.34 spl2_132 | spl2_134), 55.52/7.34 inference(avatar_split_clause,[],[f4837,f2763,f2757])). 55.52/7.34 tff(f5069,plain,( 55.52/7.34 (d_not @ $false = $true) | ~spl2_142), 55.52/7.34 inference(backward_demodulation,[],[f2790,f4821])). 55.52/7.34 tff(f5173,plain,( 55.52/7.34 ($false = $true) | (~spl2_130 | ~spl2_166)), 55.52/7.34 inference(backward_demodulation,[],[f2751,f3845])). 55.52/7.34 tff(f5174,plain,( 55.52/7.34 $false | (~spl2_130 | ~spl2_166)), 55.52/7.34 inference(trivial_inequality_removal,[],[f5173])). 55.52/7.34 tff(f5175,plain,( 55.52/7.34 ~spl2_130 | ~spl2_166), 55.52/7.34 inference(avatar_contradiction_clause,[],[f5174])). 55.52/7.34 tff(f5244,plain,( 55.52/7.34 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true) | ~spl2_128), 55.52/7.34 inference(backward_demodulation,[],[f2745,f909])). 55.52/7.34 tff(f5245,plain,( 55.52/7.34 (d_not @ (n_some @ (diffprop @ sK5 @ n_1)) = $true) | ~spl2_128), 55.52/7.34 inference(backward_demodulation,[],[f2745,f915])). 55.52/7.34 tff(f5246,plain,( 55.52/7.34 (d_not @ (d_29_ii @ n_1 @ sK5) = $true) | ~spl2_128), 55.52/7.34 inference(backward_demodulation,[],[f2745,f917])). 55.52/7.34 tff(f5247,plain,( 55.52/7.34 (e_is @ nat @ n_1 @ sK5 = $false) | ~spl2_128), 55.52/7.34 inference(backward_demodulation,[],[f2745,f918])). 55.52/7.34 tff(f5291,plain,( 55.52/7.34 (d_not @ $true = $true) | (~spl2_128 | ~spl2_194)), 55.52/7.34 inference(forward_demodulation,[],[f5245,f4921])). 55.52/7.34 tff(f5334,plain,( 55.52/7.34 (e_is @ nat @ (ordsucc @ n_1) @ (ordsucc @ n_1) = $true) | (~spl2_13 | ~spl2_128)), 55.52/7.34 inference(forward_demodulation,[],[f1762,f2745])). 55.52/7.34 tff(f5370,plain,( 55.52/7.34 (d_not @ (e_is @ nat @ (ordsucc @ n_1) @ (ordsucc @ n_1)) = $true) | (~spl2_128 | ~spl2_176)), 55.52/7.34 inference(forward_demodulation,[],[f4357,f2745])). 55.52/7.34 tff(f5379,plain,( 55.52/7.34 (d_not @ $true = $true) | (~spl2_13 | ~spl2_128 | ~spl2_176)), 55.52/7.34 inference(backward_demodulation,[],[f5334,f5370])). 55.52/7.34 tff(f5703,plain,( 55.52/7.34 ( ! [X40] : (($false = $true) | (is_of @ X40 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ X40)) = $true) | (d_not @ (d_29_ii @ n_1 @ X40) = $false) | (e_is @ nat @ n_1 @ X40 = $true)) ) | ~spl2_128), 55.52/7.34 inference(superposition,[],[f810,f5244])). 55.87/7.36 tff(f5710,plain,( 55.87/7.36 ( ! [X40] : ((is_of @ X40 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ X40)) = $true) | (d_not @ (d_29_ii @ n_1 @ X40) = $false) | (e_is @ nat @ n_1 @ X40 = $true)) ) | ~spl2_128), 55.87/7.36 inference(trivial_inequality_removal,[],[f5703])). 55.87/7.36 tff(f6121,plain,( 55.87/7.36 (d_not @ $true = $true) | (e_is @ nat @ (ordsucc @ (ordsucc @ sK5)) @ n_1 = $false)), 55.87/7.36 inference(superposition,[],[f4806,f2680])). 55.87/7.36 tff(f6179,plain,( 55.87/7.36 ($false = $true) | (n_some @ (diffprop @ n_1 @ sK5) = $false) | (d_29_ii @ n_1 @ sK5 = $true)), 55.87/7.36 inference(superposition,[],[f913,f1246])). 55.87/7.36 tff(f6182,plain,( 55.87/7.36 ($false = $true) | (d_29_ii @ sK5 @ n_1 = $false) | (n_some @ (diffprop @ sK5 @ n_1) = $true)), 55.87/7.36 inference(superposition,[],[f913,f1265])). 55.87/7.36 tff(f6185,plain,( 55.87/7.36 ($false = $true) | (d_not @ (e_is @ nat @ sK5 @ sK5) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ (ordsucc @ sK5)) = $true)), 55.87/7.36 inference(superposition,[],[f913,f1384])). 55.87/7.36 tff(f6187,plain,( 55.87/7.36 ($false = $true) | (d_not @ (d_29_ii @ sK5 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $false) | (e_is @ nat @ sK5 @ n_1 = $true)), 55.87/7.36 inference(superposition,[],[f913,f1410])). 55.87/7.36 tff(f6304,plain,( 55.87/7.36 (d_not @ (d_29_ii @ sK5 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $false) | (e_is @ nat @ sK5 @ n_1 = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6187])). 55.87/7.36 tff(f6306,plain,( 55.87/7.36 (d_not @ (e_is @ nat @ sK5 @ sK5) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ (ordsucc @ sK5)) = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6185])). 55.87/7.36 tff(f6309,plain,( 55.87/7.36 (d_29_ii @ sK5 @ n_1 = $false) | (n_some @ (diffprop @ sK5 @ n_1) = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6182])). 55.87/7.36 tff(f6312,plain,( 55.87/7.36 (n_some @ (diffprop @ n_1 @ sK5) = $false) | (d_29_ii @ n_1 @ sK5 = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6179])). 55.87/7.36 tff(f6343,plain,( 55.87/7.36 (d_not @ $true = $false) | (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ (ordsucc @ sK5)) = $true)), 55.87/7.36 inference(forward_demodulation,[],[f6306,f989])). 55.87/7.36 tff(f6384,plain,( 55.87/7.36 spl2_212 <=> (d_not @ $true = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_212])])). 55.87/7.36 tff(f6385,plain,( 55.87/7.36 (d_not @ $true = $false) | ~spl2_212), 55.87/7.36 inference(avatar_component_clause,[],[f6384])). 55.87/7.36 tff(f6387,plain,( 55.87/7.36 (d_not @ $true = $true) | (d_not @ $true = $false)), 55.87/7.36 inference(forward_demodulation,[],[f6343,f4807])). 55.87/7.36 tff(f6388,plain,( 55.87/7.36 spl2_212 | spl2_6), 55.87/7.36 inference(avatar_split_clause,[],[f6387,f1301,f6384])). 55.87/7.36 tff(f6393,plain,( 55.87/7.36 spl2_214 <=> (e_is @ nat @ (ordsucc @ (ordsucc @ sK5)) @ n_1 = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_214])])). 55.87/7.36 tff(f6394,plain,( 55.87/7.36 (e_is @ nat @ (ordsucc @ (ordsucc @ sK5)) @ n_1 = $false) | ~spl2_214), 55.87/7.36 inference(avatar_component_clause,[],[f6393])). 55.87/7.36 tff(f6395,plain,( 55.87/7.36 spl2_214 | spl2_6), 55.87/7.36 inference(avatar_split_clause,[],[f6121,f1301,f6393])). 55.87/7.36 tff(f6538,plain,( 55.87/7.36 spl2_186 | spl2_188), 55.87/7.36 inference(avatar_split_clause,[],[f6312,f4900,f4894])). 55.87/7.36 tff(f6552,plain,( 55.87/7.36 spl2_194 | spl2_196), 55.87/7.36 inference(avatar_split_clause,[],[f6309,f4926,f4920])). 55.87/7.36 tff(f6556,plain,( 55.87/7.36 ($false = $true) | (d_not @ (d_29_ii @ sK5 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $false) | ~spl2_134), 55.87/7.36 inference(forward_demodulation,[],[f6304,f2764])). 55.87/7.36 tff(f6557,plain,( 55.87/7.36 (d_not @ (d_29_ii @ sK5 @ n_1) = $false) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $false) | ~spl2_134), 55.87/7.36 inference(trivial_inequality_removal,[],[f6556])). 55.87/7.36 tff(f6558,plain,( 55.87/7.36 spl2_198 | spl2_200 | ~spl2_134), 55.87/7.36 inference(avatar_split_clause,[],[f6557,f2763,f4946,f4940])). 55.87/7.36 tff(f6559,plain,( 55.87/7.36 (d_not @ $false = $false) | (~spl2_196 | ~spl2_200)), 55.87/7.36 inference(backward_demodulation,[],[f4927,f4947])). 55.87/7.36 tff(f6563,plain,( 55.87/7.36 ($false = $true) | (~spl2_142 | ~spl2_196 | ~spl2_200)), 55.87/7.36 inference(backward_demodulation,[],[f6559,f5069])). 55.87/7.36 tff(f6564,plain,( 55.87/7.36 $false | (~spl2_142 | ~spl2_196 | ~spl2_200)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6563])). 55.87/7.36 tff(f6565,plain,( 55.87/7.36 ~spl2_142 | ~spl2_196 | ~spl2_200), 55.87/7.36 inference(avatar_contradiction_clause,[],[f6564])). 55.87/7.36 tff(f6577,plain,( 55.87/7.36 (d_29_ii @ n_1 @ sK5 = $false) | (~spl2_8 | ~spl2_128)), 55.87/7.36 inference(forward_demodulation,[],[f1366,f2745])). 55.87/7.36 tff(f6578,plain,( 55.87/7.36 ($false = $true) | (~spl2_4 | ~spl2_196 | ~spl2_200)), 55.87/7.36 inference(forward_demodulation,[],[f1304,f6559])). 55.87/7.36 tff(f6579,plain,( 55.87/7.36 $false | (~spl2_4 | ~spl2_196 | ~spl2_200)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6578])). 55.87/7.36 tff(f6580,plain,( 55.87/7.36 ~spl2_4 | ~spl2_196 | ~spl2_200), 55.87/7.36 inference(avatar_contradiction_clause,[],[f6579])). 55.87/7.36 tff(f6641,plain,( 55.87/7.36 (d_not @ $true = $false) | (d_29_ii @ sK5 @ n_1 = $false) | ~spl2_200), 55.87/7.36 inference(superposition,[],[f4947,f2680])). 55.87/7.36 tff(f6642,plain,( 55.87/7.36 ($false = $true) | (d_29_ii @ sK5 @ n_1 = $false) | (~spl2_13 | ~spl2_128 | ~spl2_176 | ~spl2_200)), 55.87/7.36 inference(forward_demodulation,[],[f6641,f5379])). 55.87/7.36 tff(f6643,plain,( 55.87/7.36 (d_29_ii @ sK5 @ n_1 = $false) | (~spl2_13 | ~spl2_128 | ~spl2_176 | ~spl2_200)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6642])). 55.87/7.36 tff(f6644,plain,( 55.87/7.36 (d_not @ $false = $false) | (~spl2_13 | ~spl2_128 | ~spl2_176 | ~spl2_200)), 55.87/7.36 inference(backward_demodulation,[],[f6643,f4947])). 55.87/7.36 tff(f6648,plain,( 55.87/7.36 ($false = $true) | (~spl2_4 | ~spl2_13 | ~spl2_128 | ~spl2_176 | ~spl2_200)), 55.87/7.36 inference(backward_demodulation,[],[f6644,f1304])). 55.87/7.36 tff(f6649,plain,( 55.87/7.36 $false | (~spl2_4 | ~spl2_13 | ~spl2_128 | ~spl2_176 | ~spl2_200)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6648])). 55.87/7.36 tff(f6650,plain,( 55.87/7.36 ~spl2_4 | spl2_13 | ~spl2_128 | ~spl2_176 | ~spl2_200), 55.87/7.36 inference(avatar_contradiction_clause,[],[f6649])). 55.87/7.36 tff(f6651,plain,( 55.87/7.36 spl2_196 | spl2_212 | ~spl2_200), 55.87/7.36 inference(avatar_split_clause,[],[f6641,f4946,f6384,f4926])). 55.87/7.36 tff(f6678,plain,( 55.87/7.36 (d_not @ (e_is @ nat @ n_1 @ n_1) = $false) | (~spl2_128 | ~spl2_178)), 55.87/7.36 inference(forward_demodulation,[],[f4363,f2745])). 55.87/7.36 tff(f6679,plain,( 55.87/7.36 (d_not @ $true = $false) | (~spl2_128 | ~spl2_178)), 55.87/7.36 inference(forward_demodulation,[],[f6678,f990])). 55.87/7.36 tff(f6680,plain,( 55.87/7.36 ($false = $true) | (~spl2_6 | ~spl2_128 | ~spl2_178)), 55.87/7.36 inference(backward_demodulation,[],[f6679,f1302])). 55.87/7.36 tff(f6681,plain,( 55.87/7.36 $false | (~spl2_6 | ~spl2_128 | ~spl2_178)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6680])). 55.87/7.36 tff(f6682,plain,( 55.87/7.36 ~spl2_6 | ~spl2_128 | ~spl2_178), 55.87/7.36 inference(avatar_contradiction_clause,[],[f6681])). 55.87/7.36 tff(f6691,plain,( 55.87/7.36 (d_not @ $false = $false) | (~spl2_188 | ~spl2_198)), 55.87/7.36 inference(forward_demodulation,[],[f4941,f4901])). 55.87/7.36 tff(f6708,plain,( 55.87/7.36 ($false = $true) | (~spl2_8 | ~spl2_128 | ~spl2_186)), 55.87/7.36 inference(forward_demodulation,[],[f4895,f6577])). 55.87/7.36 tff(f6709,plain,( 55.87/7.36 $false | (~spl2_8 | ~spl2_128 | ~spl2_186)), 55.87/7.36 inference(trivial_inequality_removal,[],[f6708])). 55.87/7.36 tff(f6710,plain,( 55.87/7.36 ~spl2_8 | ~spl2_128 | ~spl2_186), 55.87/7.36 inference(avatar_contradiction_clause,[],[f6709])). 55.87/7.36 tff(f7532,plain,( 55.87/7.36 ($false = $true) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $true) | (d_not @ (d_29_ii @ n_1 @ sK5) = $false) | (e_is @ nat @ n_1 @ sK5 = $true) | ~spl2_128), 55.87/7.36 inference(superposition,[],[f913,f5710])). 55.87/7.36 tff(f7535,plain,( 55.87/7.36 (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $true) | (d_not @ (d_29_ii @ n_1 @ sK5) = $false) | (e_is @ nat @ n_1 @ sK5 = $true) | ~spl2_128), 55.87/7.36 inference(trivial_inequality_removal,[],[f7532])). 55.87/7.36 tff(f7550,plain,( 55.87/7.36 ($false = $true) | (d_not @ (d_29_ii @ n_1 @ sK5) = $false) | (e_is @ nat @ n_1 @ sK5 = $true) | (~spl2_128 | ~spl2_198)), 55.87/7.36 inference(forward_demodulation,[],[f7535,f4941])). 55.87/7.36 tff(f7551,plain,( 55.87/7.36 (d_not @ (d_29_ii @ n_1 @ sK5) = $false) | (e_is @ nat @ n_1 @ sK5 = $true) | (~spl2_128 | ~spl2_198)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7550])). 55.87/7.36 tff(f7552,plain,( 55.87/7.36 (d_not @ $true = $false) | (e_is @ nat @ n_1 @ sK5 = $true) | (~spl2_128 | ~spl2_186 | ~spl2_198)), 55.87/7.36 inference(forward_demodulation,[],[f7551,f4895])). 55.87/7.36 tff(f7553,plain,( 55.87/7.36 ($false = $true) | (e_is @ nat @ n_1 @ sK5 = $true) | (~spl2_6 | ~spl2_128 | ~spl2_186 | ~spl2_198)), 55.87/7.36 inference(forward_demodulation,[],[f7552,f1302])). 55.87/7.36 tff(f7554,plain,( 55.87/7.36 (e_is @ nat @ n_1 @ sK5 = $true) | (~spl2_6 | ~spl2_128 | ~spl2_186 | ~spl2_198)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7553])). 55.87/7.36 tff(f7555,plain,( 55.87/7.36 ($false = $true) | (~spl2_6 | ~spl2_128 | ~spl2_186 | ~spl2_198)), 55.87/7.36 inference(forward_demodulation,[],[f7554,f5247])). 55.87/7.36 tff(f7556,plain,( 55.87/7.36 $false | (~spl2_6 | ~spl2_128 | ~spl2_186 | ~spl2_198)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7555])). 55.87/7.36 tff(f7557,plain,( 55.87/7.36 ~spl2_6 | ~spl2_128 | ~spl2_186 | ~spl2_198), 55.87/7.36 inference(avatar_contradiction_clause,[],[f7556])). 55.87/7.36 tff(f7624,plain,( 55.87/7.36 ($false = $true) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $true) | (e_is @ nat @ n_1 @ sK5 = $true) | ~spl2_128), 55.87/7.36 inference(forward_demodulation,[],[f7535,f5246])). 55.87/7.36 tff(f7625,plain,( 55.87/7.36 (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $true) | (e_is @ nat @ n_1 @ sK5 = $true) | ~spl2_128), 55.87/7.36 inference(trivial_inequality_removal,[],[f7624])). 55.87/7.36 tff(f7626,plain,( 55.87/7.36 ($false = $true) | (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $true) | ~spl2_128), 55.87/7.36 inference(forward_demodulation,[],[f7625,f5247])). 55.87/7.36 tff(f7627,plain,( 55.87/7.36 (d_not @ (n_some @ (diffprop @ n_1 @ sK5)) = $true) | ~spl2_128), 55.87/7.36 inference(trivial_inequality_removal,[],[f7626])). 55.87/7.36 tff(f7628,plain,( 55.87/7.36 (d_not @ $false = $true) | ~spl2_214), 55.87/7.36 inference(backward_demodulation,[],[f6394,f4806])). 55.87/7.36 tff(f7632,plain,( 55.87/7.36 (d_not @ $false = $true) | (~spl2_128 | ~spl2_188)), 55.87/7.36 inference(backward_demodulation,[],[f4901,f7627])). 55.87/7.36 tff(f7643,plain,( 55.87/7.36 ($false = $true) | (~spl2_128 | ~spl2_194 | ~spl2_212)), 55.87/7.36 inference(forward_demodulation,[],[f5291,f6385])). 55.87/7.36 tff(f7644,plain,( 55.87/7.36 $false | (~spl2_128 | ~spl2_194 | ~spl2_212)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7643])). 55.87/7.36 tff(f7645,plain,( 55.87/7.36 ~spl2_128 | ~spl2_194 | ~spl2_212), 55.87/7.36 inference(avatar_contradiction_clause,[],[f7644])). 55.87/7.36 tff(f7911,plain,( 55.87/7.36 ($false = $true) | (~spl2_136 | ~spl2_212)), 55.87/7.36 inference(forward_demodulation,[],[f4993,f6385])). 55.87/7.36 tff(f7912,plain,( 55.87/7.36 $false | (~spl2_136 | ~spl2_212)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7911])). 55.87/7.36 tff(f7913,plain,( 55.87/7.36 ~spl2_136 | ~spl2_212), 55.87/7.36 inference(avatar_contradiction_clause,[],[f7912])). 55.87/7.36 tff(f7918,plain,( 55.87/7.36 ($false = $true) | (~spl2_6 | ~spl2_212)), 55.87/7.36 inference(forward_demodulation,[],[f1302,f6385])). 55.87/7.36 tff(f7919,plain,( 55.87/7.36 $false | (~spl2_6 | ~spl2_212)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7918])). 55.87/7.36 tff(f7920,plain,( 55.87/7.36 ~spl2_6 | ~spl2_212), 55.87/7.36 inference(avatar_contradiction_clause,[],[f7919])). 55.87/7.36 tff(f7985,plain,( 55.87/7.36 ($false = $true) | (~spl2_188 | ~spl2_198 | ~spl2_214)), 55.87/7.36 inference(forward_demodulation,[],[f7628,f6691])). 55.87/7.36 tff(f7986,plain,( 55.87/7.36 $false | (~spl2_188 | ~spl2_198 | ~spl2_214)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7985])). 55.87/7.36 tff(f7987,plain,( 55.87/7.36 ~spl2_188 | ~spl2_198 | ~spl2_214), 55.87/7.36 inference(avatar_contradiction_clause,[],[f7986])). 55.87/7.36 tff(f7988,plain,( 55.87/7.36 ($false = $true) | (~spl2_128 | ~spl2_188 | ~spl2_198)), 55.87/7.36 inference(forward_demodulation,[],[f7632,f6691])). 55.87/7.36 tff(f7989,plain,( 55.87/7.36 $false | (~spl2_128 | ~spl2_188 | ~spl2_198)), 55.87/7.36 inference(trivial_inequality_removal,[],[f7988])). 55.87/7.36 tff(f7990,plain,( 55.87/7.36 ~spl2_128 | ~spl2_188 | ~spl2_198), 55.87/7.36 inference(avatar_contradiction_clause,[],[f7989])). 55.87/7.36 tff(f8319,plain,( 55.87/7.36 (d_not @ (e_is @ nat @ n_1 @ sK4) = $true) | ~spl2_136), 55.87/7.36 inference(forward_demodulation,[],[f1016,f2771])). 55.87/7.36 tff(f8607,plain,( 55.87/7.36 ( ! [X7] : (($false = $true) | (is_of @ X7 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X7 @ sK4 = $false) | (d_not @ (d_29_ii @ sK4 @ X7) = $false) | (e_is @ nat @ sK4 @ X7 = $true)) )), 55.87/7.36 inference(superposition,[],[f909,f811])). 55.87/7.36 tff(f8768,plain,( 55.87/7.36 ( ! [X7] : ((is_of @ X7 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X7 @ sK4 = $false) | (d_not @ (d_29_ii @ sK4 @ X7) = $false) | (e_is @ nat @ sK4 @ X7 = $true)) )), 55.87/7.36 inference(trivial_inequality_removal,[],[f8607])). 55.87/7.36 tff(f9246,plain,( 55.87/7.36 ($false = $true) | (d_29_ii @ sK4 @ n_1 = $false) | (n_some @ (diffprop @ sK4 @ n_1) = $true)), 55.87/7.36 inference(superposition,[],[f1265,f909])). 55.87/7.36 tff(f9275,plain,( 55.87/7.36 (d_29_ii @ sK4 @ n_1 = $false) | (n_some @ (diffprop @ sK4 @ n_1) = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f9246])). 55.87/7.36 tff(f9667,plain,( 55.87/7.36 ($false = $true) | (e_is @ nat @ n_1 @ sK4 = $false) | n_1 = sK4), 55.87/7.36 inference(superposition,[],[f615,f1226])). 55.87/7.36 tff(f9673,plain,( 55.87/7.36 (e_is @ nat @ n_1 @ sK4 = $false) | n_1 = sK4), 55.87/7.36 inference(trivial_inequality_removal,[],[f9667])). 55.87/7.36 tff(f9683,plain,( 55.87/7.36 spl2_344 <=> (e_is @ nat @ n_1 @ sK4 = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_344])])). 55.87/7.36 tff(f9684,plain,( 55.87/7.36 (e_is @ nat @ n_1 @ sK4 = $false) | ~spl2_344), 55.87/7.36 inference(avatar_component_clause,[],[f9683])). 55.87/7.36 tff(f9699,plain,( 55.87/7.36 spl2_128 | spl2_344), 55.87/7.36 inference(avatar_split_clause,[],[f9673,f9683,f2744])). 55.87/7.36 tff(f9704,plain,( 55.87/7.36 (d_not @ $false = $true) | (~spl2_136 | ~spl2_344)), 55.87/7.36 inference(backward_demodulation,[],[f9684,f8319])). 55.87/7.36 tff(f10637,plain,( 55.87/7.36 ($false = $true) | (n_some @ (diffprop @ sK4 @ sK5) = $false) | (d_29_ii @ sK4 @ sK5 = $true)), 55.87/7.36 inference(superposition,[],[f913,f1245])). 55.87/7.36 tff(f10640,plain,( 55.87/7.36 (n_some @ (diffprop @ sK4 @ sK5) = $false) | (d_29_ii @ sK4 @ sK5 = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10637])). 55.87/7.36 tff(f10653,plain,( 55.87/7.36 spl2_370 <=> (d_29_ii @ sK4 @ n_1 = $true)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_370])])). 55.87/7.36 tff(f10654,plain,( 55.87/7.36 (d_29_ii @ sK4 @ n_1 = $true) | ~spl2_370), 55.87/7.36 inference(avatar_component_clause,[],[f10653])). 55.87/7.36 tff(f10659,plain,( 55.87/7.36 spl2_372 <=> (n_some @ (diffprop @ sK4 @ n_1) = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_372])])). 55.87/7.36 tff(f10660,plain,( 55.87/7.36 (n_some @ (diffprop @ sK4 @ n_1) = $false) | ~spl2_372), 55.87/7.36 inference(avatar_component_clause,[],[f10659])). 55.87/7.36 tff(f10666,plain,( 55.87/7.36 spl2_374 <=> (d_29_ii @ sK4 @ sK5 = $true)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_374])])). 55.87/7.36 tff(f10667,plain,( 55.87/7.36 (d_29_ii @ sK4 @ sK5 = $true) | ~spl2_374), 55.87/7.36 inference(avatar_component_clause,[],[f10666])). 55.87/7.36 tff(f10672,plain,( 55.87/7.36 spl2_376 <=> (n_some @ (diffprop @ sK4 @ sK5) = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_376])])). 55.87/7.36 tff(f10673,plain,( 55.87/7.36 (n_some @ (diffprop @ sK4 @ sK5) = $false) | ~spl2_376), 55.87/7.36 inference(avatar_component_clause,[],[f10672])). 55.87/7.36 tff(f10676,plain,( 55.87/7.36 spl2_374 | spl2_376), 55.87/7.36 inference(avatar_split_clause,[],[f10640,f10672,f10666])). 55.87/7.36 tff(f10692,plain,( 55.87/7.36 ($false = $true) | (d_29_ii @ n_1 @ sK4 = $false) | (n_some @ (diffprop @ n_1 @ sK4) = $true)), 55.87/7.36 inference(superposition,[],[f1264,f615])). 55.87/7.36 tff(f10699,plain,( 55.87/7.36 ($false = $true) | (d_29_ii @ sK5 @ sK4 = $false) | (n_some @ (diffprop @ sK5 @ sK4) = $true)), 55.87/7.36 inference(superposition,[],[f913,f1264])). 55.87/7.36 tff(f10702,plain,( 55.87/7.36 (d_29_ii @ sK5 @ sK4 = $false) | (n_some @ (diffprop @ sK5 @ sK4) = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10699])). 55.87/7.36 tff(f10709,plain,( 55.87/7.36 (d_29_ii @ n_1 @ sK4 = $false) | (n_some @ (diffprop @ n_1 @ sK4) = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10692])). 55.87/7.36 tff(f10711,plain,( 55.87/7.36 ($false = $true) | (n_some @ (diffprop @ n_1 @ sK4) = $true) | ~spl2_152), 55.87/7.36 inference(forward_demodulation,[],[f10709,f3566])). 55.87/7.36 tff(f10712,plain,( 55.87/7.36 (n_some @ (diffprop @ n_1 @ sK4) = $true) | ~spl2_152), 55.87/7.36 inference(trivial_inequality_removal,[],[f10711])). 55.87/7.36 tff(f10716,plain,( 55.87/7.36 (d_not @ $true = $false) | (~spl2_152 | ~spl2_172)), 55.87/7.36 inference(backward_demodulation,[],[f10712,f4339])). 55.87/7.36 tff(f10717,plain,( 55.87/7.36 ($false = $true) | (~spl2_6 | ~spl2_152 | ~spl2_172)), 55.87/7.36 inference(backward_demodulation,[],[f10716,f1302])). 55.87/7.36 tff(f10718,plain,( 55.87/7.36 $false | (~spl2_6 | ~spl2_152 | ~spl2_172)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10717])). 55.87/7.36 tff(f10719,plain,( 55.87/7.36 ~spl2_6 | ~spl2_152 | ~spl2_172), 55.87/7.36 inference(avatar_contradiction_clause,[],[f10718])). 55.87/7.36 tff(f10724,plain,( 55.87/7.36 spl2_378 <=> (n_some @ (diffprop @ n_1 @ sK4) = $true)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_378])])). 55.87/7.36 tff(f10725,plain,( 55.87/7.36 (n_some @ (diffprop @ n_1 @ sK4) = $true) | ~spl2_378), 55.87/7.36 inference(avatar_component_clause,[],[f10724])). 55.87/7.36 tff(f10730,plain,( 55.87/7.36 spl2_380 <=> (d_29_ii @ n_1 @ sK4 = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_380])])). 55.87/7.36 tff(f10731,plain,( 55.87/7.36 (d_29_ii @ n_1 @ sK4 = $false) | ~spl2_380), 55.87/7.36 inference(avatar_component_clause,[],[f10730])). 55.87/7.36 tff(f10733,plain,( 55.87/7.36 spl2_378 | spl2_380), 55.87/7.36 inference(avatar_split_clause,[],[f10709,f10730,f10724])). 55.87/7.36 tff(f10781,plain,( 55.87/7.36 spl2_152 | spl2_154), 55.87/7.36 inference(avatar_split_clause,[],[f4127,f3571,f3565])). 55.87/7.36 tff(f10794,plain,( 55.87/7.36 (d_not @ $false = $false) | (~spl2_154 | ~spl2_172)), 55.87/7.36 inference(backward_demodulation,[],[f3572,f4339])). 55.87/7.36 tff(f10795,plain,( 55.87/7.36 ($false = $true) | (~spl2_136 | ~spl2_154 | ~spl2_172 | ~spl2_344)), 55.87/7.36 inference(backward_demodulation,[],[f10794,f9704])). 55.87/7.36 tff(f10796,plain,( 55.87/7.36 $false | (~spl2_136 | ~spl2_154 | ~spl2_172 | ~spl2_344)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10795])). 55.87/7.36 tff(f10797,plain,( 55.87/7.36 ~spl2_136 | ~spl2_154 | ~spl2_172 | ~spl2_344), 55.87/7.36 inference(avatar_contradiction_clause,[],[f10796])). 55.87/7.36 tff(f10813,plain,( 55.87/7.36 (d_not @ $true = $false) | (~spl2_174 | ~spl2_370)), 55.87/7.36 inference(forward_demodulation,[],[f4345,f10654])). 55.87/7.36 tff(f10815,plain,( 55.87/7.36 ($false = $true) | (~spl2_6 | ~spl2_174 | ~spl2_370)), 55.87/7.36 inference(forward_demodulation,[],[f1302,f10813])). 55.87/7.36 tff(f10816,plain,( 55.87/7.36 $false | (~spl2_6 | ~spl2_174 | ~spl2_370)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10815])). 55.87/7.36 tff(f10817,plain,( 55.87/7.36 ~spl2_6 | ~spl2_174 | ~spl2_370), 55.87/7.36 inference(avatar_contradiction_clause,[],[f10816])). 55.87/7.36 tff(f10821,plain,( 55.87/7.36 ($false = $true) | (~spl2_152 | ~spl2_380)), 55.87/7.36 inference(backward_demodulation,[],[f10731,f3566])). 55.87/7.36 tff(f10822,plain,( 55.87/7.36 $false | (~spl2_152 | ~spl2_380)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10821])). 55.87/7.36 tff(f10823,plain,( 55.87/7.36 ~spl2_152 | ~spl2_380), 55.87/7.36 inference(avatar_contradiction_clause,[],[f10822])). 55.87/7.36 tff(f10863,plain,( 55.87/7.36 ($false = $true) | (d_29_ii @ sK4 @ n_1 = $false) | ~spl2_372), 55.87/7.36 inference(forward_demodulation,[],[f9275,f10660])). 55.87/7.36 tff(f10864,plain,( 55.87/7.36 (d_29_ii @ sK4 @ n_1 = $false) | ~spl2_372), 55.87/7.36 inference(trivial_inequality_removal,[],[f10863])). 55.87/7.36 tff(f10868,plain,( 55.87/7.36 (d_not @ $false = $false) | (~spl2_174 | ~spl2_372)), 55.87/7.36 inference(backward_demodulation,[],[f10864,f4345])). 55.87/7.36 tff(f10869,plain,( 55.87/7.36 ($false = $true) | (~spl2_136 | ~spl2_174 | ~spl2_344 | ~spl2_372)), 55.87/7.36 inference(backward_demodulation,[],[f10868,f9704])). 55.87/7.36 tff(f10870,plain,( 55.87/7.36 $false | (~spl2_136 | ~spl2_174 | ~spl2_344 | ~spl2_372)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10869])). 55.87/7.36 tff(f10871,plain,( 55.87/7.36 ~spl2_136 | ~spl2_174 | ~spl2_344 | ~spl2_372), 55.87/7.36 inference(avatar_contradiction_clause,[],[f10870])). 55.87/7.36 tff(f10950,plain,( 55.87/7.36 ($false = $true) | (~spl2_138 | ~spl2_174 | ~spl2_372)), 55.87/7.36 inference(forward_demodulation,[],[f4026,f10868])). 55.87/7.36 tff(f10951,plain,( 55.87/7.36 $false | (~spl2_138 | ~spl2_174 | ~spl2_372)), 55.87/7.36 inference(trivial_inequality_removal,[],[f10950])). 55.87/7.36 tff(f10952,plain,( 55.87/7.36 ~spl2_138 | ~spl2_174 | ~spl2_372), 55.87/7.36 inference(avatar_contradiction_clause,[],[f10951])). 55.87/7.36 tff(f11053,plain,( 55.87/7.36 (d_not @ $true = $false) | (~spl2_172 | ~spl2_378)), 55.87/7.36 inference(forward_demodulation,[],[f4339,f10725])). 55.87/7.36 tff(f11067,plain,( 55.87/7.36 (d_not @ $false = $false) | (~spl2_154 | ~spl2_172)), 55.87/7.36 inference(forward_demodulation,[],[f4339,f3572])). 55.87/7.36 tff(f11068,plain,( 55.87/7.36 ($false = $true) | (~spl2_138 | ~spl2_154 | ~spl2_172)), 55.87/7.36 inference(backward_demodulation,[],[f11067,f4026])). 55.87/7.36 tff(f11069,plain,( 55.87/7.36 $false | (~spl2_138 | ~spl2_154 | ~spl2_172)), 55.87/7.36 inference(trivial_inequality_removal,[],[f11068])). 55.87/7.36 tff(f11070,plain,( 55.87/7.36 ~spl2_138 | ~spl2_154 | ~spl2_172), 55.87/7.36 inference(avatar_contradiction_clause,[],[f11069])). 55.87/7.36 tff(f11157,plain,( 55.87/7.36 ($false = $true) | (~spl2_8 | ~spl2_374)), 55.87/7.36 inference(backward_demodulation,[],[f1366,f10667])). 55.87/7.36 tff(f11158,plain,( 55.87/7.36 $false | (~spl2_8 | ~spl2_374)), 55.87/7.36 inference(trivial_inequality_removal,[],[f11157])). 55.87/7.36 tff(f11159,plain,( 55.87/7.36 ~spl2_8 | ~spl2_374), 55.87/7.36 inference(avatar_contradiction_clause,[],[f11158])). 55.87/7.36 tff(f11223,plain,( 55.87/7.36 spl2_412 <=> (n_some @ (diffprop @ sK5 @ sK4) = $true)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_412])])). 55.87/7.36 tff(f11224,plain,( 55.87/7.36 (n_some @ (diffprop @ sK5 @ sK4) = $true) | ~spl2_412), 55.87/7.36 inference(avatar_component_clause,[],[f11223])). 55.87/7.36 tff(f11229,plain,( 55.87/7.36 spl2_414 <=> (d_29_ii @ sK5 @ sK4 = $false)), 55.87/7.36 introduced(avatar_definition,[new_symbols(naming,[spl2_414])])). 55.87/7.36 tff(f11230,plain,( 55.87/7.36 (d_29_ii @ sK5 @ sK4 = $false) | ~spl2_414), 55.87/7.36 inference(avatar_component_clause,[],[f11229])). 55.87/7.36 tff(f11232,plain,( 55.87/7.36 spl2_412 | spl2_414), 55.87/7.36 inference(avatar_split_clause,[],[f10702,f11229,f11223])). 55.87/7.36 tff(f11236,plain,( 55.87/7.36 (d_not @ $true = $true) | ~spl2_412), 55.87/7.36 inference(backward_demodulation,[],[f11224,f915])). 55.87/7.36 tff(f11237,plain,( 55.87/7.36 ($false = $true) | (~spl2_172 | ~spl2_378 | ~spl2_412)), 55.87/7.36 inference(forward_demodulation,[],[f11236,f11053])). 55.87/7.36 tff(f11238,plain,( 55.87/7.36 $false | (~spl2_172 | ~spl2_378 | ~spl2_412)), 55.87/7.36 inference(trivial_inequality_removal,[],[f11237])). 55.87/7.36 tff(f11239,plain,( 55.87/7.36 ~spl2_172 | ~spl2_378 | ~spl2_412), 55.87/7.36 inference(avatar_contradiction_clause,[],[f11238])). 55.87/7.36 tff(f11415,plain,( 55.87/7.36 ($false = $true) | (n_some @ (diffprop @ sK4 @ n_1) = $false) | (d_29_ii @ sK4 @ n_1 = $true)), 55.87/7.36 inference(superposition,[],[f615,f1245])). 55.87/7.36 tff(f11561,plain,( 55.87/7.36 (n_some @ (diffprop @ sK4 @ n_1) = $false) | (d_29_ii @ sK4 @ n_1 = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f11415])). 55.87/7.36 tff(f12600,plain,( 55.87/7.36 ($false = $true) | (e_is @ nat @ sK5 @ sK4 = $false) | (d_not @ (d_29_ii @ sK4 @ sK5) = $false) | (e_is @ nat @ sK4 @ sK5 = $true)), 55.87/7.36 inference(superposition,[],[f913,f8768])). 55.87/7.36 tff(f12603,plain,( 55.87/7.36 (e_is @ nat @ sK5 @ sK4 = $false) | (d_not @ (d_29_ii @ sK4 @ sK5) = $false) | (e_is @ nat @ sK4 @ sK5 = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12600])). 55.87/7.36 tff(f12631,plain,( 55.87/7.36 ($false = $true) | (d_not @ (d_29_ii @ sK5 @ sK4) = $false) | (d_not @ (n_some @ (diffprop @ sK4 @ sK5)) = $false) | (e_is @ nat @ sK5 @ sK4 = $true)), 55.87/7.36 inference(superposition,[],[f913,f1409])). 55.87/7.36 tff(f12634,plain,( 55.87/7.36 (d_not @ (d_29_ii @ sK5 @ sK4) = $false) | (d_not @ (n_some @ (diffprop @ sK4 @ sK5)) = $false) | (e_is @ nat @ sK5 @ sK4 = $true)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12631])). 55.87/7.36 tff(f12659,plain,( 55.87/7.36 (d_not @ $false = $false) | (d_not @ (n_some @ (diffprop @ sK4 @ sK5)) = $false) | (e_is @ nat @ sK5 @ sK4 = $true) | ~spl2_414), 55.87/7.36 inference(forward_demodulation,[],[f12634,f11230])). 55.87/7.36 tff(f12660,plain,( 55.87/7.36 ($false = $true) | (d_not @ (n_some @ (diffprop @ sK4 @ sK5)) = $false) | (e_is @ nat @ sK5 @ sK4 = $true) | (~spl2_138 | ~spl2_414)), 55.87/7.36 inference(forward_demodulation,[],[f12659,f4026])). 55.87/7.36 tff(f12661,plain,( 55.87/7.36 (d_not @ (n_some @ (diffprop @ sK4 @ sK5)) = $false) | (e_is @ nat @ sK5 @ sK4 = $true) | (~spl2_138 | ~spl2_414)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12660])). 55.87/7.36 tff(f12662,plain,( 55.87/7.36 (d_not @ $false = $false) | (e_is @ nat @ sK5 @ sK4 = $true) | (~spl2_138 | ~spl2_376 | ~spl2_414)), 55.87/7.36 inference(forward_demodulation,[],[f12661,f10673])). 55.87/7.36 tff(f12663,plain,( 55.87/7.36 ($false = $true) | (e_is @ nat @ sK5 @ sK4 = $true) | (~spl2_138 | ~spl2_376 | ~spl2_414)), 55.87/7.36 inference(forward_demodulation,[],[f12662,f4026])). 55.87/7.36 tff(f12664,plain,( 55.87/7.36 (e_is @ nat @ sK5 @ sK4 = $true) | (~spl2_138 | ~spl2_376 | ~spl2_414)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12663])). 55.87/7.36 tff(f12668,plain,( 55.87/7.36 (d_not @ $false = $false) | (e_is @ nat @ sK5 @ sK4 = $false) | (e_is @ nat @ sK4 @ sK5 = $true) | ~spl2_8), 55.87/7.36 inference(forward_demodulation,[],[f12603,f1366])). 55.87/7.36 tff(f12669,plain,( 55.87/7.36 ($false = $true) | (e_is @ nat @ sK5 @ sK4 = $false) | (e_is @ nat @ sK4 @ sK5 = $true) | (~spl2_8 | ~spl2_138)), 55.87/7.36 inference(forward_demodulation,[],[f12668,f4026])). 55.87/7.36 tff(f12670,plain,( 55.87/7.36 (e_is @ nat @ sK5 @ sK4 = $false) | (e_is @ nat @ sK4 @ sK5 = $true) | (~spl2_8 | ~spl2_138)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12669])). 55.87/7.36 tff(f12671,plain,( 55.87/7.36 ($false = $true) | (e_is @ nat @ sK5 @ sK4 = $false) | (~spl2_8 | ~spl2_138)), 55.87/7.36 inference(forward_demodulation,[],[f12670,f918])). 55.87/7.36 tff(f12672,plain,( 55.87/7.36 (e_is @ nat @ sK5 @ sK4 = $false) | (~spl2_8 | ~spl2_138)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12671])). 55.87/7.36 tff(f12673,plain,( 55.87/7.36 ($false = $true) | (~spl2_8 | ~spl2_138 | ~spl2_376 | ~spl2_414)), 55.87/7.36 inference(backward_demodulation,[],[f12672,f12664])). 55.87/7.36 tff(f12674,plain,( 55.87/7.36 $false | (~spl2_8 | ~spl2_138 | ~spl2_376 | ~spl2_414)), 55.87/7.36 inference(trivial_inequality_removal,[],[f12673])). 55.87/7.36 tff(f12675,plain,( 55.87/7.36 ~spl2_8 | ~spl2_138 | ~spl2_376 | ~spl2_414), 55.87/7.36 inference(avatar_contradiction_clause,[],[f12674])). 55.87/7.36 tff(f12983,plain,( 55.87/7.36 spl2_370 | spl2_372), 55.87/7.36 inference(avatar_split_clause,[],[f11561,f10659,f10653])). 55.87/7.36 tff(f13032,plain,( 55.87/7.36 (d_not @ $true = $false) | (~spl2_174 | ~spl2_370)), 55.87/7.36 inference(backward_demodulation,[],[f10654,f4345])). 55.87/7.36 tff(f13041,plain,( 55.87/7.36 ($false = $true) | (~spl2_174 | ~spl2_370 | ~spl2_412)), 55.87/7.36 inference(forward_demodulation,[],[f11236,f13032])). 55.87/7.36 tff(f13042,plain,( 55.87/7.36 $false | (~spl2_174 | ~spl2_370 | ~spl2_412)), 55.87/7.36 inference(trivial_inequality_removal,[],[f13041])). 55.87/7.36 tff(f13043,plain,( 55.87/7.36 ~spl2_174 | ~spl2_370 | ~spl2_412), 55.87/7.36 inference(avatar_contradiction_clause,[],[f13042])). 55.87/7.36 tff(f13095,plain,( 55.87/7.36 $false), 55.87/7.36 inference(avatar_sat_refutation,[],[f1367,f1566,f2095,f2778,f2791,f3020,f4349,f4351,f4365,f4376,f4570,f4985,f5059,f5175,f6388,f6395,f6538,f6552,f6558,f6565,f6580,f6650,f6651,f6682,f6710,f7557,f7645,f7913,f7920,f7987,f7990,f9699,f10676,f10719,f10733,f10781,f10797,f10817,f10823,f10871,f10952,f11070,f11159,f11232,f11239,f12675,f12983,f13043])). 55.87/7.36 % SZS output end Proof for theBenchmark 55.87/7.36 % (28954)------------------------------ 55.87/7.36 % (28954)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 55.87/7.36 % (28954)Termination reason: Refutation 55.87/7.36 55.87/7.36 % (28954)Memory used [KB]: 19445 55.87/7.36 % (28954)Time elapsed: 5.044 s 55.87/7.36 % (28954)------------------------------ 55.87/7.36 % (28954)------------------------------ 55.87/7.36 % (28878)Success in time 7.044 s 55.87/7.37 EOF