0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.34 % Computer : n007.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 03:21:27 EDT 2022 0.14/0.35 % CPUTime : 0.14/0.35 This is a THF_ problem 0.14/0.35 Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % (25549)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (25554)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.21/0.42 % (25554)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.42 % (25555)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.21/0.42 % (25550)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.21/0.42 % (25556)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.21/0.42 % (25557)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.21/0.42 % (25556)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.42 % (25557)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.42 % (25552)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.21/0.42 % (25552)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.43 % (25553)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.21/0.43 % (25551)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=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 4.28/0.91 % (25553)Time limit reached! 4.28/0.91 % (25553)------------------------------ 4.28/0.91 % (25553)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.28/0.91 % (25553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.28/0.91 % (25553)Termination reason: Time limit 4.28/0.91 % (25553)Termination phase: Saturation 4.28/0.91 4.28/0.91 % (25553)Memory used [KB]: 18805 4.28/0.91 % (25553)Time elapsed: 0.500 s 4.28/0.91 % (25553)------------------------------ 4.28/0.91 % (25553)------------------------------ 4.28/0.91 % (25550)Time limit reached! 4.28/0.91 % (25550)------------------------------ 4.28/0.91 % (25550)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.28/0.91 % (25550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.28/0.91 % (25550)Termination reason: Time limit 4.28/0.91 % (25550)Termination phase: Saturation 4.28/0.91 4.28/0.91 % (25550)Memory used [KB]: 6780 4.28/0.91 % (25550)Time elapsed: 0.500 s 4.28/0.91 % (25550)------------------------------ 4.28/0.91 % (25550)------------------------------ 4.58/0.93 % (25551)Time limit reached! 4.58/0.93 % (25551)------------------------------ 4.58/0.93 % (25551)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.58/0.93 % (25551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.58/0.93 % (25551)Termination reason: Time limit 4.58/0.93 % (25551)Termination phase: Saturation 4.58/0.93 4.58/0.93 % (25551)Memory used [KB]: 21875 4.58/0.93 % (25551)Time elapsed: 0.500 s 4.58/0.93 % (25551)------------------------------ 4.58/0.93 % (25551)------------------------------ 4.66/0.95 % (25559)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=on:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 4.66/0.95 % (25559)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 4.66/0.95 % (25559)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.66/0.95 % (25558)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=on:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 4.66/0.95 % (25558)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.66/0.96 % (25560)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 5.03/1.01 % (25556)Time limit reached! 5.03/1.01 % (25556)------------------------------ 5.03/1.01 % (25556)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.03/1.01 % (25556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.03/1.01 % (25556)Termination reason: Time limit 5.03/1.01 % (25556)Termination phase: Saturation 5.03/1.01 5.03/1.01 % (25556)Memory used [KB]: 19445 5.03/1.01 % (25556)Time elapsed: 0.600 s 5.03/1.01 % (25556)------------------------------ 5.03/1.01 % (25556)------------------------------ 5.03/1.02 % (25552)Time limit reached! 5.03/1.02 % (25552)------------------------------ 5.03/1.02 % (25552)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.03/1.02 % (25552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.03/1.02 % (25552)Termination reason: Time limit 5.03/1.02 % (25552)Termination phase: Saturation 5.03/1.02 5.03/1.02 % (25552)Memory used [KB]: 17782 5.03/1.02 % (25552)Time elapsed: 0.600 s 5.03/1.02 % (25552)------------------------------ 5.03/1.02 % (25552)------------------------------ 5.03/1.05 % (25562)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=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 5.03/1.06 % (25561)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=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 8.86/1.55 % (25562)Time limit reached! 8.86/1.55 % (25562)------------------------------ 8.86/1.55 % (25562)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.86/1.55 % (25562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.86/1.55 % (25562)Termination reason: Time limit 8.86/1.55 % (25562)Termination phase: Saturation 8.86/1.55 8.86/1.55 % (25562)Memory used [KB]: 12665 8.86/1.55 % (25562)Time elapsed: 0.500 s 8.86/1.55 % (25562)------------------------------ 8.86/1.55 % (25562)------------------------------ 8.86/1.55 % (25561)Time limit reached! 8.86/1.55 % (25561)------------------------------ 8.86/1.55 % (25561)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.86/1.55 % (25561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.86/1.55 % (25561)Termination reason: Time limit 8.86/1.55 % (25561)Termination phase: Saturation 8.86/1.55 8.86/1.55 % (25561)Memory used [KB]: 17654 8.86/1.55 % (25561)Time elapsed: 0.500 s 8.86/1.55 % (25561)------------------------------ 8.86/1.55 % (25561)------------------------------ 8.86/1.56 % (25559)Time limit reached! 8.86/1.56 % (25559)------------------------------ 8.86/1.56 % (25559)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.86/1.56 % (25559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.86/1.56 % (25559)Termination reason: Time limit 8.86/1.56 % (25559)Termination phase: Saturation 8.86/1.56 8.86/1.56 % (25559)Memory used [KB]: 21620 8.86/1.56 % (25559)Time elapsed: 0.600 s 8.86/1.56 % (25559)------------------------------ 8.86/1.56 % (25559)------------------------------ 9.66/1.58 % (25563)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=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 9.66/1.58 % (25563)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 9.66/1.59 % (25565)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=on:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 9.66/1.59 % (25565)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 9.66/1.59 % (25564)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=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 9.66/1.59 % (25564)Refutation not found, incomplete strategy% (25564)------------------------------ 9.66/1.59 % (25564)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 9.66/1.59 % (25564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 9.66/1.59 % (25564)Termination reason: Refutation not found, incomplete strategy 9.66/1.59 9.66/1.59 % (25564)Memory used [KB]: 5756 9.66/1.59 % (25564)Time elapsed: 0.003 s 9.66/1.59 % (25564)------------------------------ 9.66/1.59 % (25564)------------------------------ 9.86/1.63 % (25566)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 9.86/1.63 % (25566)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 9.86/1.63 % (25566)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 12.13/1.91 % (25554)Time limit reached! 12.13/1.91 % (25554)------------------------------ 12.13/1.91 % (25554)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 12.13/1.91 % (25554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 12.13/1.91 % (25554)Termination reason: Time limit 12.13/1.91 % (25554)Termination phase: Saturation 12.13/1.91 12.13/1.91 % (25554)Memory used [KB]: 32622 12.13/1.91 % (25554)Time elapsed: 1.500 s 12.13/1.91 % (25554)------------------------------ 12.13/1.91 % (25554)------------------------------ 12.13/1.96 % (25567)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=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 12.13/1.96 % (25567)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 13.14/2.03 % (25555)Time limit reached! 13.14/2.03 % (25555)------------------------------ 13.14/2.03 % (25555)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 13.14/2.03 % (25555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 13.14/2.03 % (25555)Termination reason: Time limit 13.14/2.03 % (25555)Termination phase: Saturation 13.14/2.03 13.14/2.03 % (25555)Memory used [KB]: 27121 13.14/2.03 % (25555)Time elapsed: 1.600 s 13.14/2.03 % (25555)------------------------------ 13.14/2.03 % (25555)------------------------------ 13.28/2.09 % (25568)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=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 17.67/2.59 % (25565)Time limit reached! 17.67/2.59 % (25565)------------------------------ 17.67/2.59 % (25565)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 17.67/2.59 % (25565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 17.67/2.59 % (25565)Termination reason: Time limit 17.67/2.59 % (25565)Termination phase: Saturation 17.67/2.59 17.67/2.59 % (25565)Memory used [KB]: 26609 17.67/2.59 % (25565)Time elapsed: 1.0000 s 17.67/2.59 % (25565)------------------------------ 17.67/2.59 % (25565)------------------------------ 18.03/2.62 % (25569)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=on:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 18.03/2.62 % (25569)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 18.03/2.68 % (25563)Time limit reached! 18.03/2.68 % (25563)------------------------------ 18.03/2.68 % (25563)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 18.03/2.68 % (25563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 18.03/2.68 % (25563)Termination reason: Time limit 18.03/2.68 % (25563)Termination phase: Saturation 18.03/2.68 18.03/2.68 % (25563)Memory used [KB]: 29167 18.03/2.68 % (25563)Time elapsed: 1.100 s 18.03/2.68 % (25563)------------------------------ 18.03/2.68 % (25563)------------------------------ 18.61/2.75 % (25570)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=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 19.93/2.99 % (25568)Time limit reached! 19.93/2.99 % (25568)------------------------------ 19.93/2.99 % (25568)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 19.93/2.99 % (25568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 19.93/2.99 % (25568)Termination reason: Time limit 19.93/2.99 % (25568)Termination phase: Saturation 19.93/2.99 19.93/2.99 % (25568)Memory used [KB]: 15735 19.93/2.99 % (25568)Time elapsed: 0.900 s 19.93/2.99 % (25568)------------------------------ 19.93/2.99 % (25568)------------------------------ 21.21/3.02 % (25571)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=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 26.77/3.72 % (25569)Time limit reached! 26.77/3.72 % (25569)------------------------------ 26.77/3.72 % (25569)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 26.77/3.72 % (25569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 26.77/3.72 % (25569)Termination reason: Time limit 26.77/3.72 % (25569)Termination phase: Saturation 26.77/3.72 26.77/3.72 % (25569)Memory used [KB]: 20340 26.77/3.72 % (25569)Time elapsed: 1.100 s 26.77/3.72 % (25569)------------------------------ 26.77/3.72 % (25569)------------------------------ 26.77/3.78 % (25572)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=on:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 26.77/3.78 % (25572)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 27.52/3.83 % (25557)Time limit reached! 27.52/3.83 % (25557)------------------------------ 27.52/3.83 % (25557)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 27.52/3.83 % (25557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 27.52/3.83 % (25557)Termination reason: Time limit 27.52/3.83 % (25557)Termination phase: Saturation 27.52/3.83 27.52/3.83 % (25557)Memory used [KB]: 20596 27.52/3.83 % (25557)Time elapsed: 3.400 s 27.52/3.83 % (25557)------------------------------ 27.52/3.83 % (25557)------------------------------ 27.52/3.86 % (25573)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=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 27.52/3.86 % (25573)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 28.58/4.05 % (25558)Time limit reached! 28.58/4.05 % (25558)------------------------------ 28.58/4.05 % (25558)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 28.58/4.05 % (25558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 28.58/4.05 % (25558)Termination reason: Time limit 28.58/4.05 % (25558)Termination phase: Saturation 28.58/4.05 28.58/4.05 % (25558)Memory used [KB]: 50148 28.58/4.05 % (25558)Time elapsed: 3.100 s 28.58/4.05 % (25558)------------------------------ 28.58/4.05 % (25558)------------------------------ 29.09/4.09 % (25574)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=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 29.09/4.09 % (25574)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 35.49/4.87 % (25572)Time limit reached! 35.49/4.87 % (25572)------------------------------ 35.49/4.87 % (25572)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 35.49/4.87 % (25572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 35.49/4.87 % (25572)Termination reason: Time limit 35.49/4.87 % (25572)Termination phase: Saturation 35.49/4.87 35.49/4.87 % (25572)Memory used [KB]: 11257 35.49/4.87 % (25572)Time elapsed: 1.100 s 35.49/4.87 % (25572)------------------------------ 35.49/4.87 % (25572)------------------------------ 36.01/4.90 % (25575)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=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 36.01/4.90 % (25575)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 37.74/5.16 % (25567)Time limit reached! 37.74/5.16 % (25567)------------------------------ 37.74/5.16 % (25567)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 37.74/5.16 % (25567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 37.74/5.16 % (25567)Termination reason: Time limit 37.74/5.16 % (25567)Termination phase: Saturation 37.74/5.16 37.74/5.16 % (25567)Memory used [KB]: 52195 37.74/5.16 % (25567)Time elapsed: 3.200 s 37.74/5.16 % (25567)------------------------------ 37.74/5.16 % (25567)------------------------------ 38.26/5.17 % (25560)Time limit reached! 38.26/5.17 % (25560)------------------------------ 38.26/5.17 % (25560)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 38.26/5.17 % (25560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 38.26/5.17 % (25560)Termination reason: Time limit 38.26/5.17 % (25560)Termination phase: Saturation 38.26/5.17 38.26/5.17 % (25560)Memory used [KB]: 56544 38.26/5.17 % (25560)Time elapsed: 4.200 s 38.26/5.17 % (25560)------------------------------ 38.26/5.17 % (25560)------------------------------ 38.26/5.20 % (25576)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=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 38.26/5.21 % (25577)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=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 46.51/6.22 % (25571)Time limit reached! 46.51/6.22 % (25571)------------------------------ 46.51/6.22 % (25571)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 46.51/6.22 % (25571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 46.51/6.22 % (25571)Termination reason: Time limit 46.51/6.22 % (25571)Termination phase: Saturation 46.51/6.22 46.51/6.22 % (25571)Memory used [KB]: 33005 46.51/6.22 % (25571)Time elapsed: 3.200 s 46.51/6.22 % (25571)------------------------------ 46.51/6.22 % (25571)------------------------------ 46.51/6.26 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 46.51/6.26 % (25578)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=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 47.76/6.41 % (25575)Time limit reached! 47.76/6.41 % (25575)------------------------------ 47.76/6.41 % (25575)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 47.76/6.41 % (25575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 47.76/6.41 % (25575)Termination reason: Time limit 47.76/6.41 % (25575)Termination phase: Saturation 47.76/6.41 47.76/6.41 % (25575)Memory used [KB]: 33005 47.76/6.41 % (25575)Time elapsed: 1.500 s 47.76/6.41 % (25575)------------------------------ 47.76/6.41 % (25575)------------------------------ 47.76/6.47 % (25579)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=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 52.88/7.04 % (25570)Time limit reached! 52.88/7.04 % (25570)------------------------------ 52.88/7.04 % (25570)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 52.88/7.04 % (25570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 52.88/7.04 % (25570)Termination reason: Time limit 52.88/7.04 % (25570)Termination phase: Saturation 52.88/7.04 52.88/7.04 % (25570)Memory used [KB]: 45415 52.88/7.04 % (25570)Time elapsed: 4.300 s 52.88/7.04 % (25570)------------------------------ 52.88/7.04 % (25570)------------------------------ 52.88/7.10 % (25580)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=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 68.55/9.05 % (25573)Time limit reached! 68.55/9.05 % (25573)------------------------------ 68.55/9.05 % (25573)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 68.55/9.05 % (25573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 68.55/9.05 % (25573)Termination reason: Time limit 68.55/9.05 % (25573)Termination phase: Saturation 68.55/9.05 68.55/9.05 % (25573)Memory used [KB]: 74710 68.55/9.05 % (25573)Time elapsed: 5.200 s 68.55/9.05 % (25573)------------------------------ 68.55/9.05 % (25573)------------------------------ 69.19/9.09 % (25581)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=on:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 69.19/9.09 % (25581)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 89.74/11.67 % (25579)Time limit reached! 89.74/11.67 % (25579)------------------------------ 89.74/11.67 % (25579)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 89.74/11.67 % (25579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 89.74/11.67 % (25579)Termination reason: Time limit 89.74/11.67 % (25579)Termination phase: Saturation 89.74/11.67 89.74/11.67 % (25579)Memory used [KB]: 53602 89.74/11.67 % (25579)Time elapsed: 5.200 s 89.74/11.67 % (25579)------------------------------ 89.74/11.67 % (25579)------------------------------ 90.06/11.73 % (25582)lrs+1011_8_add=large:csup=on:inj=on:prag=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark 90.06/11.73 % (25582)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 93.65/12.20 % (25581)Time limit reached! 93.65/12.20 % (25581)------------------------------ 93.65/12.20 % (25581)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 93.65/12.20 % (25581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 93.65/12.20 % (25581)Termination reason: Time limit 93.65/12.20 % (25581)Termination phase: Saturation 93.65/12.20 93.65/12.20 % (25581)Memory used [KB]: 14328 93.65/12.20 % (25581)Time elapsed: 3.100 s 93.65/12.20 % (25581)------------------------------ 93.65/12.20 % (25581)------------------------------ 94.14/12.24 % (25583)lrs+1011_8_add=large:csup=on:fe=off:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark 94.14/12.24 % (25583)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 111.97/14.52 % (25582)Time limit reached! 111.97/14.52 % (25582)------------------------------ 111.97/14.52 % (25582)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 111.97/14.52 % (25582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 111.97/14.52 % (25582)Termination reason: Time limit 111.97/14.52 % (25582)Termination phase: Saturation 111.97/14.52 111.97/14.52 % (25582)Memory used [KB]: 37739 111.97/14.52 % (25582)Time elapsed: 2.800 s 111.97/14.52 % (25582)------------------------------ 111.97/14.52 % (25582)------------------------------ 112.69/14.57 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 112.69/14.57 % (25584)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:cases=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 112.69/14.57 % (25584)Refutation not found, incomplete strategy% (25584)------------------------------ 112.69/14.57 % (25584)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 112.69/14.57 % (25584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 112.69/14.57 % (25584)Termination reason: Refutation not found, incomplete strategy 112.69/14.57 112.69/14.57 % (25584)Memory used [KB]: 10234 112.69/14.57 % (25584)Time elapsed: 0.032 s 112.69/14.57 % (25584)------------------------------ 112.69/14.57 % (25584)------------------------------ 112.69/14.64 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 112.69/14.64 % (25585)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:cases=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:updr=off:uhcvi=on_125 on theBenchmark 114.29/14.78 % (25580)Time limit reached! 114.29/14.78 % (25580)------------------------------ 114.29/14.78 % (25580)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 114.29/14.78 % (25580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 114.29/14.78 % (25580)Termination reason: Time limit 114.29/14.78 % (25580)Termination phase: Saturation 114.29/14.78 114.29/14.78 % (25580)Memory used [KB]: 59487 114.29/14.78 % (25580)Time elapsed: 7.700 s 114.29/14.78 % (25580)------------------------------ 114.29/14.78 % (25580)------------------------------ 114.63/14.82 % (25586)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark 118.78/15.44 % (25583)Time limit reached! 118.78/15.44 % (25583)------------------------------ 118.78/15.44 % (25583)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 118.78/15.44 % (25583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 118.78/15.44 % (25583)Termination reason: Time limit 118.78/15.44 % (25583)Termination phase: Saturation 118.78/15.44 118.78/15.44 % (25583)Memory used [KB]: 44647 118.78/15.44 % (25583)Time elapsed: 3.200 s 118.78/15.44 % (25583)------------------------------ 118.78/15.44 % (25583)------------------------------ 119.51/15.48 % (25587)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:cases=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 119.51/15.48 % (25587)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 133.69/17.28 % (25574)Time limit reached! 133.69/17.28 % (25574)------------------------------ 133.69/17.28 % (25574)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 133.69/17.28 % (25574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 133.69/17.28 % (25574)Termination reason: Time limit 133.69/17.28 % (25574)Termination phase: Saturation 133.69/17.28 133.69/17.28 % (25574)Memory used [KB]: 128953 133.69/17.28 % (25574)Time elapsed: 13.200 s 133.69/17.28 % (25574)------------------------------ 133.69/17.28 % (25574)------------------------------ 134.24/17.32 % (25588)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:cases=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 134.24/17.32 % (25588)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 175.04/22.51 % (25588)Time limit reached! 175.04/22.51 % (25588)------------------------------ 175.04/22.51 % (25588)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 175.04/22.51 % (25588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 175.04/22.51 % (25588)Termination reason: Time limit 175.04/22.51 % (25588)Termination phase: Saturation 175.04/22.51 175.04/22.51 % (25588)Memory used [KB]: 47333 175.04/22.51 % (25588)Time elapsed: 5.200 s 175.04/22.51 % (25588)------------------------------ 175.04/22.51 % (25588)------------------------------ 175.49/22.54 % (25589)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:cases=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 176.81/22.70 % (25586)Time limit reached! 176.81/22.70 % (25586)------------------------------ 176.81/22.70 % (25586)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 176.81/22.70 % (25586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 176.81/22.70 % (25586)Termination reason: Time limit 176.81/22.70 % (25586)Termination phase: Saturation 176.81/22.70 176.81/22.70 % (25586)Memory used [KB]: 7675 176.81/22.70 % (25586)Time elapsed: 7.900 s 176.81/22.70 % (25586)------------------------------ 176.81/22.70 % (25586)------------------------------ 177.06/22.73 % (25590)ott+11_2:1_add=large:csup=on:inj=on:chr=on:cases=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 185.63/23.83 % (25590)Time limit reached! 185.63/23.83 % (25590)------------------------------ 185.63/23.83 % (25590)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 185.63/23.83 % (25590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 185.63/23.83 % (25590)Termination reason: Time limit 185.63/23.83 % (25590)Termination phase: Saturation 185.63/23.83 185.63/23.83 % (25590)Memory used [KB]: 25330 185.63/23.83 % (25590)Time elapsed: 1.100 s 185.63/23.83 % (25590)------------------------------ 185.63/23.83 % (25590)------------------------------ 186.11/23.84 % (25589)Time limit reached! 186.11/23.84 % (25589)------------------------------ 186.11/23.84 % (25589)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 186.11/23.84 % (25589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 186.11/23.84 % (25589)Termination reason: Time limit 186.11/23.84 % (25589)Termination phase: Saturation 186.11/23.84 186.11/23.84 % (25589)Memory used [KB]: 34029 186.11/23.84 % (25589)Time elapsed: 1.300 s 186.11/23.84 % (25589)------------------------------ 186.11/23.84 % (25589)------------------------------ 186.23/23.87 % (25591)lrs+1011_8_add=large:csup=off:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark 186.23/23.87 % (25591)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 186.23/23.88 % (25592)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:cases=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 186.23/23.88 % (25592)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 186.79/24.01 % (25577)Time limit reached! 186.79/24.01 % (25577)------------------------------ 186.79/24.01 % (25577)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 186.79/24.01 % (25577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 186.79/24.01 % (25577)Termination reason: Time limit 186.79/24.01 % (25577)Termination phase: Saturation 186.79/24.01 186.79/24.01 % (25577)Memory used [KB]: 96714 186.79/24.01 % (25577)Time elapsed: 18.800 s 186.79/24.01 % (25577)------------------------------ 186.79/24.01 % (25577)------------------------------ 187.29/24.05 % (25593)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 194.02/24.85 % (25593)Time limit reached! 194.02/24.85 % (25593)------------------------------ 194.02/24.85 % (25593)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 194.02/24.85 % (25593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 194.02/24.85 % (25593)Termination reason: Time limit 194.02/24.85 % (25593)Termination phase: Saturation 194.02/24.85 194.02/24.85 % (25593)Memory used [KB]: 8827 194.02/24.85 % (25593)Time elapsed: 0.800 s 194.02/24.85 % (25593)------------------------------ 194.02/24.85 % (25593)------------------------------ 194.25/24.89 % (25594)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:cases=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 198.01/25.38 % (25591)Time limit reached! 198.01/25.38 % (25591)------------------------------ 198.01/25.38 % (25591)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 198.01/25.38 % (25591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 198.01/25.38 % (25591)Termination reason: Time limit 198.01/25.38 % (25591)Termination phase: Saturation 198.01/25.38 198.01/25.38 % (25591)Memory used [KB]: 12920 198.01/25.38 % (25591)Time elapsed: 1.500 s 198.01/25.38 % (25591)------------------------------ 198.01/25.38 % (25591)------------------------------ 198.35/25.41 % (25595)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:cases=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 209.51/26.81 % (25595)Time limit reached! 209.51/26.81 % (25595)------------------------------ 209.51/26.81 % (25595)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 209.51/26.81 % (25595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 209.51/26.81 % (25595)Termination reason: Time limit 209.51/26.81 % (25595)Termination phase: Saturation 209.51/26.81 209.51/26.81 % (25595)Memory used [KB]: 28784 209.51/26.81 % (25595)Time elapsed: 1.400 s 209.51/26.81 % (25595)------------------------------ 209.51/26.81 % (25595)------------------------------ 209.51/26.85 % (25596)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=on:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark 209.51/26.85 % (25596)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 213.22/27.31 % (25585)Time limit reached! 213.22/27.31 % (25585)------------------------------ 213.22/27.31 % (25585)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 213.22/27.31 % (25585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 213.22/27.31 % (25585)Termination reason: Time limit 213.22/27.31 % (25585)Termination phase: Saturation 213.22/27.31 213.22/27.31 % (25585)Memory used [KB]: 128057 213.22/27.31 % (25585)Time elapsed: 12.700 s 213.22/27.31 % (25585)------------------------------ 213.22/27.31 % (25585)------------------------------ 213.89/27.36 % (25597)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark 221.15/28.27 % (25587)Time limit reached! 221.15/28.27 % (25587)------------------------------ 221.15/28.27 % (25587)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 221.15/28.27 % (25587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 221.15/28.27 % (25587)Termination reason: Time limit 221.15/28.27 % (25587)Termination phase: Saturation 221.15/28.27 221.15/28.27 % (25587)Memory used [KB]: 160679 221.15/28.27 % (25587)Time elapsed: 12.800 s 221.15/28.27 % (25587)------------------------------ 221.15/28.27 % (25587)------------------------------ 221.70/28.32 % (25598)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_not_gen_be_off:bet=on:suph=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 221.70/28.32 % (25598)Refutation not found, incomplete strategy% (25598)------------------------------ 221.70/28.32 % (25598)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 221.70/28.32 % (25598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 221.70/28.32 % (25598)Termination reason: Refutation not found, incomplete strategy 221.70/28.32 221.70/28.32 % (25598)Memory used [KB]: 1407 221.70/28.32 % (25598)Time elapsed: 0.003 s 221.70/28.32 % (25598)------------------------------ 221.70/28.32 % (25598)------------------------------ 221.70/28.36 % (25599)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:cases=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 221.70/28.37 % (25599)Refutation not found, incomplete strategy% (25599)------------------------------ 221.70/28.37 % (25599)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 221.70/28.37 % (25599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 221.70/28.37 % (25599)Termination reason: Refutation not found, incomplete strategy 221.70/28.37 221.70/28.37 % (25599)Memory used [KB]: 10362 221.70/28.37 % (25599)Time elapsed: 0.006 s 221.70/28.37 % (25599)------------------------------ 221.70/28.37 % (25599)------------------------------ 222.12/28.40 % (25600)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark 222.12/28.40 % (25600)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 238.75/30.50 % (25600)Time limit reached! 238.75/30.50 % (25600)------------------------------ 238.75/30.50 % (25600)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 238.75/30.50 % (25600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 238.75/30.50 % (25600)Termination reason: Time limit 238.75/30.50 % (25600)Termination phase: Saturation 238.75/30.50 238.75/30.50 % (25600)Memory used [KB]: 34668 238.75/30.50 % (25600)Time elapsed: 2.100 s 238.75/30.50 % (25600)------------------------------ 238.75/30.50 % (25600)------------------------------ 239.22/30.54 % (25604)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 245.13/31.33 % (25604)Time limit reached! 245.13/31.33 % (25604)------------------------------ 245.13/31.33 % (25604)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 245.13/31.33 % (25604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 245.13/31.33 % (25604)Termination reason: Time limit 245.13/31.33 % (25604)Termination phase: Saturation 245.13/31.33 245.13/31.34 % (25604)Memory used [KB]: 8955 245.13/31.34 % (25604)Time elapsed: 0.800 s 245.13/31.34 % (25604)------------------------------ 245.13/31.34 % (25604)------------------------------ 245.74/31.37 % (25605)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=on: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 245.74/31.37 % (25605)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 245.74/31.37 % (25605)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 246.02/31.41 % (25566)Refutation not found, non-redundant clauses discarded% (25566)------------------------------ 246.02/31.41 % (25566)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 246.02/31.41 % (25566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 246.02/31.41 % (25566)Termination reason: Refutation not found, non-redundant clauses discarded 246.02/31.41 246.02/31.41 % (25566)Memory used [KB]: 231680 246.02/31.41 % (25566)Time elapsed: 29.778 s 246.02/31.41 % (25566)------------------------------ 246.02/31.41 % (25566)------------------------------ 246.50/31.46 % (25606)dis+11_24_afp=40000:csup=on:inj=on:chr=on:cases=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 250.55/31.97 % (25606)First to succeed. 250.55/31.98 % (25606)Refutation found. Thanks to Tanya! 250.55/31.98 % SZS status Theorem for theBenchmark 250.55/31.98 % SZS output start Proof for theBenchmark 250.55/31.98 thf(type_def_5, type, a: $tType). 250.55/31.98 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType). 250.55/31.98 thf(func_def_0, type, a: $tType). 250.55/31.98 thf(func_def_2, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 250.55/31.98 thf(func_def_5, type, sP0: ((a > $o) > $o) > $o). 250.55/31.98 thf(func_def_8, type, sK3: (a > $o) > $o). 250.55/31.98 thf(func_def_9, type, sK4: (a > $o) > a). 250.55/31.98 thf(func_def_10, type, sK5: ((a > $o) > $o) > a > $o). 250.55/31.98 thf(func_def_11, type, sK6: (a > $o) > a > $o). 250.55/31.98 thf(func_def_12, type, sK7: ((a > $o) > a) > a > $o). 250.55/31.98 thf(func_def_13, type, sK8: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_14, type, sK9: ((a > $o) > a > $o) > (a > $o) > a). 250.55/31.98 thf(func_def_15, type, sK10: ((a > $o) > a) > ((a > $o) > $o) > a > $o). 250.55/31.98 thf(func_def_16, type, sK11: ((a > $o) > $o) > (a > $o) > a). 250.55/31.98 thf(func_def_21, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 250.55/31.98 thf(func_def_22, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 250.55/31.98 thf(func_def_23, type, vAND: $o > $o > $o). 250.55/31.98 thf(func_def_24, type, vOR: $o > $o > $o). 250.55/31.98 thf(func_def_25, type, vIMP: $o > $o > $o). 250.55/31.98 thf(func_def_26, type, vNOT: $o > $o). 250.55/31.98 thf(func_def_27, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 250.55/31.98 thf(func_def_28, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 250.55/31.98 thf(func_def_29, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 250.55/31.98 thf(func_def_30, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 250.55/31.98 thf(func_def_31, type, sK13: (a > $o) > (a > $o) > a). 250.55/31.98 thf(func_def_32, type, sK14: a > $o). 250.55/31.98 thf(func_def_33, type, sK15: (a > $o) > a). 250.55/31.98 thf(func_def_34, type, sK16: $o > a > $o). 250.55/31.98 thf(func_def_35, type, sK17: $o > a > $o). 250.55/31.98 thf(func_def_36, type, sK18: (a > $o) > $o > a). 250.55/31.98 thf(func_def_37, type, sK19: (a > $o) > a). 250.55/31.98 thf(func_def_38, type, sK20: a > a). 250.55/31.98 thf(func_def_39, type, sK21: a). 250.55/31.98 thf(func_def_40, type, sK22: $o > a). 250.55/31.98 thf(func_def_41, type, sK23: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_42, type, sK24: $o > $o > a > $o). 250.55/31.98 thf(func_def_43, type, sK25: (a > $o) > a). 250.55/31.98 thf(func_def_44, type, sK26: a > a > $o). 250.55/31.98 thf(func_def_45, type, sK27: a > a). 250.55/31.98 thf(func_def_46, type, sK28: a > a). 250.55/31.98 thf(func_def_47, type, sK29: (a > $o) > a > $o). 250.55/31.98 thf(func_def_48, type, sK30: (a > $o) > a). 250.55/31.98 thf(func_def_49, type, sK31: (a > $o) > a). 250.55/31.98 thf(func_def_50, type, inv_vEQ_32: !>[X0: $tType]:((X0 > $o) > X0)). 250.55/31.98 thf(func_def_51, type, sK33: a > a > a). 250.55/31.98 thf(func_def_52, type, sK34: a > $o). 250.55/31.98 thf(func_def_53, type, sK35: a). 250.55/31.98 thf(func_def_54, type, sK36: $o > a). 250.55/31.98 thf(func_def_55, type, sK37: $o > a). 250.55/31.98 thf(func_def_56, type, sK38: (a > $o) > $o > a). 250.55/31.98 thf(func_def_57, type, sK39: $o > (a > $o) > a). 250.55/31.98 thf(func_def_58, type, sK40: a > $o). 250.55/31.98 thf(func_def_59, type, sK41: (a > $o) > a). 250.55/31.98 thf(func_def_60, type, sK42: a > a). 250.55/31.98 thf(func_def_61, type, sK43: a). 250.55/31.98 thf(func_def_62, type, sK44: $o > a). 250.55/31.98 thf(func_def_63, type, sK45: a > a). 250.55/31.98 thf(func_def_64, type, sK46: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_65, type, sK47: (a > $o) > a). 250.55/31.98 thf(func_def_66, type, sK48: (a > $o) > a). 250.55/31.98 thf(func_def_67, type, sK49: a). 250.55/31.98 thf(func_def_68, type, sK50: a). 250.55/31.98 thf(func_def_69, type, sK51: (a > $o) > a). 250.55/31.98 thf(func_def_70, type, sK52: a > $o). 250.55/31.98 thf(func_def_71, type, sK53: ((a > $o) > $o) > a). 250.55/31.98 thf(func_def_72, type, sK54: (a > $o) > $o > a). 250.55/31.98 thf(func_def_73, type, sK55: a > $o > a). 250.55/31.98 thf(func_def_74, type, sK56: $o > a). 250.55/31.98 thf(func_def_75, type, sK57: $o > a). 250.55/31.98 thf(func_def_76, type, sK58: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_77, type, sK59: (a > $o) > a). 250.55/31.98 thf(func_def_78, type, sK60: a > $o > a). 250.55/31.98 thf(func_def_79, type, sK61: $o > a). 250.55/31.98 thf(func_def_80, type, sK62: $o > a). 250.55/31.98 thf(func_def_81, type, sK63: $o > $o > a). 250.55/31.98 thf(func_def_82, type, sK64: a > a). 250.55/31.98 thf(func_def_83, type, inv_vEQ_65: !>[X0: $tType]:((X0 > $o) > X0)). 250.55/31.98 thf(func_def_84, type, sK66: a > a > a). 250.55/31.98 thf(func_def_85, type, sK67: a > a). 250.55/31.98 thf(func_def_86, type, sK68: a > a). 250.55/31.98 thf(func_def_87, type, sK69: a > a). 250.55/31.98 thf(func_def_88, type, sK70: a > a). 250.55/31.98 thf(func_def_89, type, sK71: a > a). 250.55/31.98 thf(func_def_90, type, sK72: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_91, type, sK73: a > a). 250.55/31.98 thf(func_def_92, type, sK74: a > a). 250.55/31.98 thf(func_def_93, type, sK75: a > a). 250.55/31.98 thf(func_def_94, type, sK76: a > a). 250.55/31.98 thf(func_def_95, type, sK77: a > a > $o). 250.55/31.98 thf(func_def_96, type, sK78: a > a). 250.55/31.98 thf(func_def_97, type, sK79: a > a). 250.55/31.98 thf(func_def_98, type, sK80: a > a). 250.55/31.98 thf(func_def_99, type, sK81: a). 250.55/31.98 thf(func_def_100, type, sK82: a). 250.55/31.98 thf(func_def_101, type, sK83: a > a). 250.55/31.98 thf(func_def_102, type, sK84: a > a). 250.55/31.98 thf(func_def_103, type, sK85: a > a). 250.55/31.98 thf(func_def_104, type, sK86: a > a). 250.55/31.98 thf(func_def_105, type, sK87: a > a). 250.55/31.98 thf(func_def_106, type, sK88: a > a). 250.55/31.98 thf(func_def_107, type, sK89: a > a). 250.55/31.98 thf(func_def_108, type, sK90: a > a). 250.55/31.98 thf(func_def_109, type, sK91: a > a). 250.55/31.98 thf(func_def_110, type, sK92: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_111, type, sK93: ((a > $o) > a) > $o > a). 250.55/31.98 thf(func_def_112, type, sK94: ((a > $o) > a) > a). 250.55/31.98 thf(func_def_113, type, sK95: a > a). 250.55/31.98 thf(func_def_114, type, sK96: (a > $o) > a). 250.55/31.98 thf(func_def_115, type, sK97: a). 250.55/31.98 thf(func_def_116, type, sK98: a > a). 250.55/31.98 thf(func_def_117, type, sK99: a > a). 250.55/31.98 thf(func_def_118, type, sK100: a > a). 250.55/31.98 thf(func_def_119, type, sK101: a > a). 250.55/31.98 thf(func_def_120, type, sK102: a > a). 250.55/31.98 thf(func_def_121, type, sK103: a > a). 250.55/31.98 thf(func_def_122, type, sK104: a > a). 250.55/31.98 thf(func_def_123, type, sK105: $o > a). 250.55/31.98 thf(func_def_124, type, sK106: (a > $o) > $o > a). 250.55/31.98 thf(func_def_125, type, sK107: a > a). 250.55/31.98 thf(func_def_126, type, sK108: a). 250.55/31.98 thf(func_def_127, type, sK109: a > a). 250.55/31.98 thf(func_def_128, type, sK110: a > a). 250.55/31.98 thf(func_def_129, type, sK111: (a > $o) > a). 250.55/31.98 thf(func_def_130, type, sK112: a > a). 250.55/31.98 thf(func_def_131, type, sK113: a > a). 250.55/31.98 thf(func_def_132, type, sK114: a > a). 250.55/31.98 thf(func_def_133, type, sK115: a > a). 250.55/31.98 thf(func_def_134, type, sK116: a > a). 250.55/31.98 thf(func_def_135, type, sK117: a > a). 250.55/31.98 thf(f12688,plain,( 250.55/31.98 $false), 250.55/31.98 inference(avatar_sat_refutation,[],[f50,f9641,f10195,f10402,f12687])). 250.55/31.98 thf(f12687,plain,( 250.55/31.98 spl12_2 | ~spl12_13), 250.55/31.98 inference(avatar_contradiction_clause,[],[f12686])). 250.55/31.98 thf(f12686,plain,( 250.55/31.98 $false | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f12685])). 250.55/31.98 thf(f12685,plain,( 250.55/31.98 ($true = $false) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(forward_demodulation,[],[f12676,f10458])). 250.55/31.98 thf(f10458,plain,( 250.55/31.98 ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f10456])). 250.55/31.98 thf(f10456,plain,( 250.55/31.98 ($true != $true) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(superposition,[],[f9642,f10191])). 250.55/31.98 thf(f10191,plain,( 250.55/31.98 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl12_13), 250.55/31.98 inference(avatar_component_clause,[],[f10190])). 250.55/31.98 thf(f10190,plain,( 250.55/31.98 spl12_13 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))), 250.55/31.98 introduced(avatar_definition,[new_symbols(naming,[spl12_13])])). 250.55/31.98 thf(f9642,plain,( 250.55/31.98 ($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f33,f48])). 250.55/31.98 thf(f48,plain,( 250.55/31.98 ($true != sP2) | spl12_2), 250.55/31.98 inference(avatar_component_clause,[],[f47])). 250.55/31.98 thf(f47,plain,( 250.55/31.98 spl12_2 <=> ($true = sP2)), 250.55/31.98 introduced(avatar_definition,[new_symbols(naming,[spl12_2])])). 250.55/31.98 thf(f33,plain,( 250.55/31.98 ($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | ($true = sP2)), 250.55/31.98 inference(cnf_transformation,[],[f16])). 250.55/31.98 thf(f16,plain,( 250.55/31.98 (($true = sP2) | (($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) & ! [X1 : a > $o] : (($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK4,X1))) | ($true != vAPP(sTfun(a,$o),$o,sK3,X1))))) & (! [X3 : (a > $o) > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3)) | (! [X5 : a] : ($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3),X5)) & ($true = vAPP(sTfun(a,$o),$o,X3,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3))))) | ($true != sP2))), 250.55/31.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f12,f15,f14,f13])). 250.55/31.98 thf(f13,plain,( 250.55/31.98 ? [X0 : (a > $o) > $o] : (($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) & ! [X1 : a > $o] : (? [X2 : a] : ($true = vAPP(a,$o,X1,X2)) | ($true != vAPP(sTfun(a,$o),$o,X0,X1)))) => (($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) & ! [X1 : a > $o] : (? [X2 : a] : ($true = vAPP(a,$o,X1,X2)) | ($true != vAPP(sTfun(a,$o),$o,sK3,X1))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f14,plain,( 250.55/31.98 ! [X1 : a > $o] : (? [X2 : a] : ($true = vAPP(a,$o,X1,X2)) => ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK4,X1))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f15,plain,( 250.55/31.98 ! [X3 : (a > $o) > $o] : (? [X4 : a > $o] : (! [X5 : a] : ($true != vAPP(a,$o,X4,X5)) & ($true = vAPP(sTfun(a,$o),$o,X3,X4))) => (! [X5 : a] : ($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3),X5)) & ($true = vAPP(sTfun(a,$o),$o,X3,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3)))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f12,plain,( 250.55/31.98 (($true = sP2) | ? [X0 : (a > $o) > $o] : (($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) & ! [X1 : a > $o] : (? [X2 : a] : ($true = vAPP(a,$o,X1,X2)) | ($true != vAPP(sTfun(a,$o),$o,X0,X1))))) & (! [X3 : (a > $o) > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3)) | ? [X4 : a > $o] : (! [X5 : a] : ($true != vAPP(a,$o,X4,X5)) & ($true = vAPP(sTfun(a,$o),$o,X3,X4)))) | ($true != sP2))), 250.55/31.98 inference(rectify,[],[f11])). 250.55/31.98 thf(f11,plain,( 250.55/31.98 (($true = sP2) | ? [X4 : (a > $o) > $o] : (($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) & ! [X5 : a > $o] : (? [X6 : a] : (vAPP(a,$o,X5,X6) = $true) | (vAPP(sTfun(a,$o),$o,X4,X5) != $true)))) & (! [X4 : (a > $o) > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) | ? [X5 : a > $o] : (! [X6 : a] : (vAPP(a,$o,X5,X6) != $true) & (vAPP(sTfun(a,$o),$o,X4,X5) = $true))) | ($true != sP2))), 250.55/31.98 inference(nnf_transformation,[],[f9])). 250.55/31.98 thf(f9,plain,( 250.55/31.98 ($true = sP2) <=> ! [X4 : (a > $o) > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) | ? [X5 : a > $o] : (! [X6 : a] : (vAPP(a,$o,X5,X6) != $true) & (vAPP(sTfun(a,$o),$o,X4,X5) = $true)))), 250.55/31.98 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 250.55/31.98 thf(f12676,plain,( 250.55/31.98 ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f12656])). 250.55/31.98 thf(f12656,plain,( 250.55/31.98 ($false != $false) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(superposition,[],[f10898,f11749])). 250.55/31.98 thf(f11749,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : a] : (($false = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,sK19),X0),X1)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0))) )), 250.55/31.98 inference(trivial_inequality_removal,[],[f11743])). 250.55/31.98 thf(f11743,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : a] : (($true != $true) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,sK19),X0),X1)) | (vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,sK19),X0) != vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,sK19),X0))) )), 250.55/31.98 inference(constrained_superposition,[],[f39,f11579])). 250.55/31.98 thf(f11579,plain,( 250.55/31.98 ( ! [X2 : a,X0 : (a > $o) > a,X1 : (a > $o) > $o] : (($false = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),X1),X2)) | ($true = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),X1),vAPP(sTfun(a,$o),a,sK19,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),X1))))) )), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f39,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : (a > $o) > a] : (($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0)))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0))) )), 250.55/31.98 inference(cnf_transformation,[],[f28])). 250.55/31.98 thf(f28,plain,( 250.55/31.98 ! [X0 : (a > $o) > $o] : ((($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ! [X1 : (a > $o) > a] : (($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0)))) & ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0))))) & (! [X4 : a > $o] : (($true = vAPP(a,$o,X4,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X4))) | ($true != vAPP(sTfun(a,$o),$o,X0,X4))) | ($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0))))), 250.55/31.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f25,f27,f26])). 250.55/31.98 thf(f26,plain,( 250.55/31.98 ! [X0 : (a > $o) > $o,X1 : (a > $o) > a] : (? [X2 : a > $o] : (($true != vAPP(a,$o,X2,vAPP(sTfun(a,$o),a,X1,X2))) & ($true = vAPP(sTfun(a,$o),$o,X0,X2))) => (($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0)))) & ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0)))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f27,plain,( 250.55/31.98 ! [X0 : (a > $o) > $o] : (? [X3 : (a > $o) > a] : ! [X4 : a > $o] : (($true = vAPP(a,$o,X4,vAPP(sTfun(a,$o),a,X3,X4))) | ($true != vAPP(sTfun(a,$o),$o,X0,X4))) => ! [X4 : a > $o] : (($true = vAPP(a,$o,X4,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X4))) | ($true != vAPP(sTfun(a,$o),$o,X0,X4))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f25,plain,( 250.55/31.98 ! [X0 : (a > $o) > $o] : ((($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ! [X1 : (a > $o) > a] : ? [X2 : a > $o] : (($true != vAPP(a,$o,X2,vAPP(sTfun(a,$o),a,X1,X2))) & ($true = vAPP(sTfun(a,$o),$o,X0,X2)))) & (? [X3 : (a > $o) > a] : ! [X4 : a > $o] : (($true = vAPP(a,$o,X4,vAPP(sTfun(a,$o),a,X3,X4))) | ($true != vAPP(sTfun(a,$o),$o,X0,X4))) | ($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0))))), 250.55/31.98 inference(rectify,[],[f24])). 250.55/31.98 thf(f24,plain,( 250.55/31.98 ! [X4 : (a > $o) > $o] : ((($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) | ! [X7 : (a > $o) > a] : ? [X8 : a > $o] : (($true != vAPP(a,$o,X8,vAPP(sTfun(a,$o),a,X7,X8))) & ($true = vAPP(sTfun(a,$o),$o,X4,X8)))) & (? [X7 : (a > $o) > a] : ! [X8 : a > $o] : (($true = vAPP(a,$o,X8,vAPP(sTfun(a,$o),a,X7,X8))) | ($true != vAPP(sTfun(a,$o),$o,X4,X8))) | ($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4))))), 250.55/31.98 inference(nnf_transformation,[],[f7])). 250.55/31.98 thf(f7,plain,( 250.55/31.98 ! [X4 : (a > $o) > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) <=> ? [X7 : (a > $o) > a] : ! [X8 : a > $o] : (($true = vAPP(a,$o,X8,vAPP(sTfun(a,$o),a,X7,X8))) | ($true != vAPP(sTfun(a,$o),$o,X4,X8))))), 250.55/31.98 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 250.55/31.98 thf(f10898,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($false != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),sK3),vAPP(sTfun(sTfun(a,$o),a),a,sK92,X0)))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(combinator_demodulation,[],[f10895])). 250.55/31.98 thf(f10895,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : ((vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,$false),vAPP(sTfun(sTfun(a,$o),a),a,sK92,X0)) != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),sK3),vAPP(sTfun(sTfun(a,$o),a),a,sK92,X0)))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(negative_extensionality,[],[f10525])). 250.55/31.98 thf(f10525,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : ((vAPP($o,sTfun(a,$o),kCOMB,$false) != vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),sK3))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f10524])). 250.55/31.98 thf(f10524,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($true = $false) | (vAPP($o,sTfun(a,$o),kCOMB,$false) != vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),sK3))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(forward_demodulation,[],[f10522,f10458])). 250.55/31.98 thf(f10522,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | (vAPP($o,sTfun(a,$o),kCOMB,$false) != vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),sK3))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f10517])). 250.55/31.98 thf(f10517,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($true = $false) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,sK3)) | (vAPP($o,sTfun(a,$o),kCOMB,$false) != vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X0),sK3))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(constrained_superposition,[],[f10514,f38])). 250.55/31.98 thf(f38,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : (a > $o) > a] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),$o),sTfun(a,$o)),sK10,X1),X0)))) )), 250.55/31.98 inference(cnf_transformation,[],[f28])). 250.55/31.98 thf(f10514,plain,( 250.55/31.98 ($false = vAPP(sTfun(a,$o),$o,sK3,vAPP($o,sTfun(a,$o),kCOMB,$false))) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f10513])). 250.55/31.98 thf(f10513,plain,( 250.55/31.98 ($true = $false) | ($false = vAPP(sTfun(a,$o),$o,sK3,vAPP($o,sTfun(a,$o),kCOMB,$false))) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(combinator_demodulation,[],[f10498])). 250.55/31.98 thf(f10498,plain,( 250.55/31.98 ($true = vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,$false),vAPP(sTfun(a,$o),a,sK4,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($false = vAPP(sTfun(a,$o),$o,sK3,vAPP($o,sTfun(a,$o),kCOMB,$false))) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(primitive_instantiation,[],[f10468])). 250.55/31.98 thf(f10468,plain,( 250.55/31.98 ( ! [X0 : a > $o] : (($true = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK4,X0))) | ($false = vAPP(sTfun(a,$o),$o,sK3,X0))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(trivial_inequality_removal,[],[f10464])). 250.55/31.98 thf(f10464,plain,( 250.55/31.98 ( ! [X0 : a > $o] : (($true != $true) | ($true = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK4,X0))) | ($false = vAPP(sTfun(a,$o),$o,sK3,X0))) ) | (spl12_2 | ~spl12_13)), 250.55/31.98 inference(superposition,[],[f9708,f10191])). 250.55/31.98 thf(f9708,plain,( 250.55/31.98 ( ! [X1 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,sK3,X1)) | ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK4,X1)))) ) | spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f32,f48])). 250.55/31.98 thf(f32,plain,( 250.55/31.98 ( ! [X1 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,sK3,X1)) | ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK4,X1))) | ($true = sP2)) )), 250.55/31.98 inference(cnf_transformation,[],[f16])). 250.55/31.98 thf(f10402,plain,( 250.55/31.98 ~spl12_14), 250.55/31.98 inference(avatar_contradiction_clause,[],[f10401])). 250.55/31.98 thf(f10401,plain,( 250.55/31.98 $false | ~spl12_14), 250.55/31.98 inference(trivial_inequality_removal,[],[f10400])). 250.55/31.98 thf(f10400,plain,( 250.55/31.98 ($true = $false) | ~spl12_14), 250.55/31.98 inference(combinator_demodulation,[],[f10390])). 250.55/31.98 thf(f10390,plain,( 250.55/31.98 ( ! [X1 : a] : (($false = vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,$true),X1))) ) | ~spl12_14), 250.55/31.98 inference(primitive_instantiation,[],[f10194])). 250.55/31.98 thf(f10194,plain,( 250.55/31.98 ( ! [X2 : a,X1 : a > $o] : (($false = vAPP(a,$o,X1,X2))) ) | ~spl12_14), 250.55/31.98 inference(avatar_component_clause,[],[f10193])). 250.55/31.98 thf(f10193,plain,( 250.55/31.98 spl12_14 <=> ! [X2 : a,X1 : a > $o] : ($false = vAPP(a,$o,X1,X2))), 250.55/31.98 introduced(avatar_definition,[new_symbols(naming,[spl12_14])])). 250.55/31.98 thf(f10195,plain,( 250.55/31.98 spl12_13 | spl12_14 | ~spl12_1), 250.55/31.98 inference(avatar_split_clause,[],[f10186,f43,f10193,f10190])). 250.55/31.98 thf(f43,plain,( 250.55/31.98 spl12_1 <=> ($true = sP1)), 250.55/31.98 introduced(avatar_definition,[new_symbols(naming,[spl12_1])])). 250.55/31.98 thf(f10186,plain,( 250.55/31.98 ( ! [X2 : a,X0 : $o,X1 : a > $o] : (($false = vAPP(a,$o,X1,X2)) | ($true = X0) | ($false = X0)) ) | ~spl12_1), 250.55/31.98 inference(binary_proxy_clausification,[],[f10184])). 250.55/31.98 thf(f10184,plain,( 250.55/31.98 ( ! [X2 : a,X0 : $o,X1 : a > $o] : (($false = vAPP(a,$o,X1,X2)) | ($true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vAPP($o,sTfun($o,$o),vAND,X0))),X1)))) | ($false = X0)) ) | ~spl12_1), 250.55/31.98 inference(binary_proxy_clausification,[],[f10132])). 250.55/31.98 thf(f10132,plain,( 250.55/31.98 ( ! [X2 : a,X0 : $o,X1 : a > $o] : (($true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),vAPP(a,$o,X1,X2))) | ($true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vAPP($o,sTfun($o,$o),vAND,X0))),X1))))) ) | ~spl12_1), 250.55/31.98 inference(primitive_instantiation,[],[f9798])). 250.55/31.98 thf(f9798,plain,( 250.55/31.98 ( ! [X8 : a,X6 : $o > $o,X7 : a > $o] : (($true != vAPP($o,$o,X6,vAPP(a,$o,X7,X8))) | ($true = vAPP($o,$o,X6,vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,X6)),X7))))) ) | ~spl12_1), 250.55/31.98 inference(combinator_demodulation,[],[f9794])). 250.55/31.98 thf(f9794,plain,( 250.55/31.98 ( ! [X8 : a,X6 : $o > $o,X7 : a > $o] : (($true != vAPP($o,$o,X6,vAPP(a,$o,X7,X8))) | ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,X6),X7),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,X6)),X7)))) ) | ~spl12_1), 250.55/31.98 inference(bx_narrow,[],[f9786])). 250.55/31.98 thf(f9786,plain,( 250.55/31.98 ( ! [X6 : a > $o,X7 : a,X4 : (a > $o) > a > $o] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),X7)) | ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,X4),X6)))) ) | ~spl12_1), 250.55/31.98 inference(subsumption_resolution,[],[f34,f45])). 250.55/31.98 thf(f45,plain,( 250.55/31.98 ($true = sP1) | ~spl12_1), 250.55/31.98 inference(avatar_component_clause,[],[f43])). 250.55/31.98 thf(f34,plain,( 250.55/31.98 ( ! [X6 : a > $o,X7 : a,X4 : (a > $o) > a > $o] : (($true != sP1) | ($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),X7)) | ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,X4),X6)))) )), 250.55/31.98 inference(cnf_transformation,[],[f23])). 250.55/31.98 thf(f23,plain,( 250.55/31.98 (($true = sP1) | ! [X1 : (a > $o) > a] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)))) & ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(sTfun(a,$o),a),a,sK8,X1))))) & (! [X4 : (a > $o) > a > $o] : ! [X6 : a > $o] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,X4),X6))) | ! [X7 : a] : ($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),X7))) | ($true != sP1))), 250.55/31.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f18,f22,f21,f20,f19])). 250.55/31.98 thf(f19,plain,( 250.55/31.98 ? [X0 : (a > $o) > a > $o] : ! [X1 : (a > $o) > a] : ? [X2 : a > $o] : ((vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) != $true) & ? [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) = $true)) => ! [X1 : (a > $o) > a] : ? [X2 : a > $o] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,X2),vAPP(sTfun(a,$o),a,X1,X2))) & ? [X3 : a] : ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,X2),X3)))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f20,plain,( 250.55/31.98 ! [X1 : (a > $o) > a] : (? [X2 : a > $o] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,X2),vAPP(sTfun(a,$o),a,X1,X2))) & ? [X3 : a] : ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,X2),X3))) => (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)))) & ? [X3 : a] : ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),X3))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f21,plain,( 250.55/31.98 ! [X1 : (a > $o) > a] : (? [X3 : a] : ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),X3)) => ($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(sTfun(a,$o),a),a,sK8,X1))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f22,plain,( 250.55/31.98 ! [X4 : (a > $o) > a > $o] : (? [X5 : (a > $o) > a] : ! [X6 : a > $o] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),vAPP(sTfun(a,$o),a,X5,X6))) | ! [X7 : a] : ($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),X7))) => ! [X6 : a > $o] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),sK9,X4),X6))) | ! [X7 : a] : ($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),X7))))), 250.55/31.98 introduced(choice_axiom,[])). 250.55/31.98 thf(f18,plain,( 250.55/31.98 (($true = sP1) | ? [X0 : (a > $o) > a > $o] : ! [X1 : (a > $o) > a] : ? [X2 : a > $o] : ((vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) != $true) & ? [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) = $true))) & (! [X4 : (a > $o) > a > $o] : ? [X5 : (a > $o) > a] : ! [X6 : a > $o] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),vAPP(sTfun(a,$o),a,X5,X6))) | ! [X7 : a] : ($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X4,X6),X7))) | ($true != sP1))), 250.55/31.98 inference(rectify,[],[f17])). 250.55/31.98 thf(f17,plain,( 250.55/31.98 (($true = sP1) | ? [X0 : (a > $o) > a > $o] : ! [X1 : (a > $o) > a] : ? [X2 : a > $o] : ((vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) != $true) & ? [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) = $true))) & (! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : ((vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) = $true) | ! [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) != $true)) | ($true != sP1))), 250.55/31.98 inference(nnf_transformation,[],[f8])). 250.55/31.98 thf(f8,plain,( 250.55/31.98 ($true = sP1) <=> ! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : ((vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) = $true) | ! [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) != $true))), 250.55/31.98 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 250.55/31.98 thf(f9641,plain,( 250.55/31.98 ~spl12_2), 250.55/31.98 inference(avatar_contradiction_clause,[],[f9640])). 250.55/31.98 thf(f9640,plain,( 250.55/31.98 $false | ~spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f9580,f5216])). 250.55/31.98 thf(f5216,plain,( 250.55/31.98 ( ! [X15 : (a > $o) > a] : ((vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X15)) != sK40)) ) | ~spl12_2), 250.55/31.98 inference(backward_demodulation,[],[f1378,f5209])). 250.55/31.98 thf(f5209,plain,( 250.55/31.98 (vAPP($o,sTfun(a,$o),kCOMB,$false) = sK40) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f5208])). 250.55/31.98 thf(f5208,plain,( 250.55/31.98 ($false != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP($o,sTfun(a,$o),kCOMB,$false)),sK40)) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f5203])). 250.55/31.98 thf(f5203,plain,( 250.55/31.98 (vAPP(sTfun(a,$o),$o,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false),sK40) != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP($o,sTfun(a,$o),kCOMB,$false)),sK40)) | ~spl12_2), 250.55/31.98 inference(negative_extensionality,[],[f918])). 250.55/31.98 thf(f918,plain,( 250.55/31.98 (vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false) != vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f905])). 250.55/31.98 thf(f905,plain,( 250.55/31.98 ($true = $false) | (vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false) != vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ~spl12_2), 250.55/31.98 inference(constrained_superposition,[],[f68,f886])). 250.55/31.98 thf(f886,plain,( 250.55/31.98 ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ~spl12_2), 250.55/31.98 inference(equality_resolution,[],[f473])). 250.55/31.98 thf(f473,plain,( 250.55/31.98 ( ! [X0 : a > $o] : ((vAPP($o,sTfun(a,$o),kCOMB,$false) != X0) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)))) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f424])). 250.55/31.98 thf(f424,plain,( 250.55/31.98 ( ! [X0 : a > $o] : (($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0))) | ($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0),vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(primitive_instantiation,[],[f421])). 250.55/31.98 thf(f421,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o] : (($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f420])). 250.55/31.98 thf(f420,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o] : (($true = $false) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f335])). 250.55/31.98 thf(f335,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o] : (($true = vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,$false),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(primitive_instantiation,[],[f330])). 250.55/31.98 thf(f330,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : a > $o] : (($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X1))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,X1))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f325])). 250.55/31.98 thf(f325,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : a > $o] : (($true != $true) | ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X1))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,X1))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f215,f175])). 250.55/31.98 thf(f175,plain,( 250.55/31.98 ( ! [X12 : $o] : (($true = X12) | ($false = X12)) ) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f159])). 250.55/31.98 thf(f159,plain,( 250.55/31.98 ( ! [X12 : $o] : (($false = X12) | ($true = vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,X12),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP($o,sTfun(a,$o),kCOMB,X12))),vAPP($o,sTfun(a,$o),kCOMB,X12))))) ) | ~spl12_2), 250.55/31.98 inference(kx_narrow,[],[f141])). 250.55/31.98 thf(f141,plain,( 250.55/31.98 ( ! [X0 : a > $o,X1 : a] : (($true = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)),X0))) | ($false = vAPP(a,$o,X0,X1))) ) | ~spl12_2), 250.55/31.98 inference(equality_resolution,[],[f110])). 250.55/31.98 thf(f110,plain,( 250.55/31.98 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : ((X1 != X2) | ($true = vAPP(a,$o,X2,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X1)),X2))) | ($false = vAPP(a,$o,X1,X3))) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f109])). 250.55/31.98 thf(f109,plain,( 250.55/31.98 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X1),X2)) | ($true = vAPP(a,$o,X2,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X1)),X2))) | ($false = vAPP(a,$o,X1,X3))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f103])). 250.55/31.98 thf(f103,plain,( 250.55/31.98 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X1),X2)) | ($true = vAPP(a,$o,X2,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X1)),X2))) | ($false = vAPP(a,$o,X1,X3))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f37,f91])). 250.55/31.98 thf(f91,plain,( 250.55/31.98 ( ! [X0 : a > $o,X1 : a] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0))) | ($false = vAPP(a,$o,X0,X1))) ) | ~spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f89,f53])). 250.55/31.98 thf(f53,plain,( 250.55/31.98 ( ! [X3 : (a > $o) > $o,X5 : a] : (($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3),X5)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f52])). 250.55/31.98 thf(f52,plain,( 250.55/31.98 ( ! [X3 : (a > $o) > $o,X5 : a] : (($true != $true) | ($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3),X5)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3))) ) | ~spl12_2), 250.55/31.98 inference(backward_demodulation,[],[f31,f49])). 250.55/31.98 thf(f49,plain,( 250.55/31.98 ($true = sP2) | ~spl12_2), 250.55/31.98 inference(avatar_component_clause,[],[f47])). 250.55/31.98 thf(f31,plain,( 250.55/31.98 ( ! [X3 : (a > $o) > $o,X5 : a] : (($true != sP2) | ($true != vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3),X5)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3))) )), 250.55/31.98 inference(cnf_transformation,[],[f16])). 250.55/31.98 thf(f89,plain,( 250.55/31.98 ( ! [X0 : a > $o,X1 : a] : (($true = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)),X1)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0))) | ($false = vAPP(a,$o,X0,X1))) ) | ~spl12_2), 250.55/31.98 inference(binary_proxy_clausification,[],[f82])). 250.55/31.98 thf(f82,plain,( 250.55/31.98 ( ! [X0 : a > $o,X1 : a] : ((vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)),X1) = vAPP(a,$o,X0,X1)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)))) ) | ~spl12_2), 250.55/31.98 inference(argument_congruence,[],[f65])). 250.55/31.98 thf(f65,plain,( 250.55/31.98 ( ! [X0 : a > $o] : ((vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)) = X0) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)))) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f58])). 250.55/31.98 thf(f58,plain,( 250.55/31.98 ( ! [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)))) ) | ~spl12_2), 250.55/31.98 inference(primitive_instantiation,[],[f54])). 250.55/31.98 thf(f54,plain,( 250.55/31.98 ( ! [X3 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,X3,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f51])). 250.55/31.98 thf(f51,plain,( 250.55/31.98 ( ! [X3 : (a > $o) > $o] : (($true != $true) | ($true = vAPP(sTfun(a,$o),$o,X3,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3))) ) | ~spl12_2), 250.55/31.98 inference(backward_demodulation,[],[f30,f49])). 250.55/31.98 thf(f30,plain,( 250.55/31.98 ( ! [X3 : (a > $o) > $o] : (($true != sP2) | ($true = vAPP(sTfun(a,$o),$o,X3,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X3))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X3))) )), 250.55/31.98 inference(cnf_transformation,[],[f16])). 250.55/31.98 thf(f37,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X4 : a > $o] : (($true != vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($true != vAPP(sTfun(a,$o),$o,X0,X4)) | ($true = vAPP(a,$o,X4,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X4)))) )), 250.55/31.98 inference(cnf_transformation,[],[f28])). 250.55/31.98 thf(f215,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,X0,X1)) | ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X1))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f201])). 250.55/31.98 thf(f201,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o,X1 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,X0,X1)) | ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK11,X0),X1))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f37,f175])). 250.55/31.98 thf(f68,plain,( 250.55/31.98 ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false))) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f67])). 250.55/31.98 thf(f67,plain,( 250.55/31.98 ($true = $false) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false))) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f56])). 250.55/31.98 thf(f56,plain,( 250.55/31.98 ($true = vAPP(sTfun(a,$o),$o,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false)))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,$false))) | ~spl12_2), 250.55/31.98 inference(primitive_instantiation,[],[f54])). 250.55/31.98 thf(f1378,plain,( 250.55/31.98 ( ! [X15 : (a > $o) > a] : ((vAPP($o,sTfun(a,$o),kCOMB,$false) != vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X15)))) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f1377])). 250.55/31.98 thf(f1377,plain,( 250.55/31.98 ( ! [X15 : (a > $o) > a] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X15))),vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(boolean_simplification,[],[f1376])). 250.55/31.98 thf(f1376,plain,( 250.55/31.98 ( ! [X15 : (a > $o) > a] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X15))),vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$true))))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f1328])). 250.55/31.98 thf(f1328,plain,( 250.55/31.98 ( ! [X15 : (a > $o) > a] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X15))),vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$true)))) | ($true = $false)) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f716,f116])). 250.55/31.98 thf(f116,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X0)))))) ) | ~spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f111,f55])). 250.55/31.98 thf(f55,plain,( 250.55/31.98 ($true != sP1) | ~spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f41,f49])). 250.55/31.98 thf(f41,plain,( 250.55/31.98 ($true != sP2) | ($true != sP1)), 250.55/31.98 inference(cnf_transformation,[],[f29])). 250.55/31.98 thf(f29,plain,( 250.55/31.98 (($true != sP2) | ($true != sP1)) & (($true = sP2) | ($true = sP1))), 250.55/31.98 inference(nnf_transformation,[],[f10])). 250.55/31.98 thf(f10,plain,( 250.55/31.98 ($true = sP1) <~> ($true = sP2)), 250.55/31.98 inference(definition_folding,[],[f6,f9,f8,f7])). 250.55/31.98 thf(f6,plain,( 250.55/31.98 ! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : ((vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) = $true) | ! [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) != $true)) <~> ! [X4 : (a > $o) > $o] : (? [X7 : (a > $o) > a] : ! [X8 : a > $o] : (($true = vAPP(a,$o,X8,vAPP(sTfun(a,$o),a,X7,X8))) | ($true != vAPP(sTfun(a,$o),$o,X4,X8))) | ? [X5 : a > $o] : (! [X6 : a] : (vAPP(a,$o,X5,X6) != $true) & (vAPP(sTfun(a,$o),$o,X4,X5) = $true)))), 250.55/31.98 inference(ennf_transformation,[],[f5])). 250.55/31.98 thf(f5,plain,( 250.55/31.98 ~(! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : (? [X3 : a] : (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) = $true) => (vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2)) = $true)) <=> ! [X4 : (a > $o) > $o] : (! [X5 : a > $o] : ((vAPP(sTfun(a,$o),$o,X4,X5) = $true) => ? [X6 : a] : (vAPP(a,$o,X5,X6) = $true)) => ? [X7 : (a > $o) > a] : ! [X8 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,X4,X8)) => ($true = vAPP(a,$o,X8,vAPP(sTfun(a,$o),a,X7,X8))))))), 250.55/31.98 inference(fool_elimination,[],[f4])). 250.55/31.98 thf(f4,plain,( 250.55/31.98 ~(! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : (? [X3 : a] : vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) => vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2))) <=> ! [X4 : (a > $o) > $o] : (! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X5) => ? [X6 : a] : vAPP(a,$o,X5,X6)) => ? [X7 : (a > $o) > a] : ! [X8 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X8) => vAPP(a,$o,X8,vAPP(sTfun(a,$o),a,X7,X8)))))), 250.55/31.98 inference(rectify,[],[f2])). 250.55/31.98 thf(f2,negated_conjecture,( 250.55/31.98 ~(! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : (? [X3 : a] : vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) => vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2))) <=> ! [X4 : (a > $o) > $o] : (! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X5) => ? [X6 : a] : vAPP(a,$o,X5,X6)) => ? [X7 : (a > $o) > a] : ! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X5) => vAPP(a,$o,X5,vAPP(sTfun(a,$o),a,X7,X5)))))), 250.55/31.98 inference(negated_conjecture,[],[f1])). 250.55/31.98 thf(f1,conjecture,( 250.55/31.98 ! [X0 : (a > $o) > a > $o] : ? [X1 : (a > $o) > a] : ! [X2 : a > $o] : (? [X3 : a] : vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),X3) => vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),X0,X2),vAPP(sTfun(a,$o),a,X1,X2))) <=> ! [X4 : (a > $o) > $o] : (! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X5) => ? [X6 : a] : vAPP(a,$o,X5,X6)) => ? [X7 : (a > $o) > a] : ! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X5) => vAPP(a,$o,X5,vAPP(sTfun(a,$o),a,X7,X5))))), 250.55/31.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 250.55/31.98 thf(f111,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X0))))) | ($true = sP1)) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f102])). 250.55/31.98 thf(f102,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > a] : (($true = $false) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X0))))) | ($true = sP1)) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f91,f35])). 250.55/31.98 thf(f35,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > a] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(sTfun(a,$o),a),a,sK8,X1))) | ($true = sP1)) )), 250.55/31.98 inference(cnf_transformation,[],[f23])). 250.55/31.98 thf(f716,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o] : (($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)))))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f715])). 250.55/31.98 thf(f715,plain,( 250.55/31.98 ( ! [X0 : (a > $o) > $o] : (($false != $false) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)) | ($false = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X0)))))) ) | ~spl12_2), 250.55/31.98 inference(equality_factoring,[],[f640])). 250.55/31.98 thf(f640,plain,( 250.55/31.98 ( ! [X0 : $o,X1 : (a > $o) > $o] : (($false = X0) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X1)) | ($false = vAPP(sTfun(a,$o),$o,X1,vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,X0))))) ) | ~spl12_2), 250.55/31.98 inference(not_proxy_clausification,[],[f565])). 250.55/31.98 thf(f565,plain,( 250.55/31.98 ( ! [X0 : $o,X1 : (a > $o) > $o] : (($true = vAPP($o,$o,vNOT,X0)) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X1)) | ($false = vAPP(sTfun(a,$o),$o,X1,vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,X0))))) ) | ~spl12_2), 250.55/31.98 inference(primitive_instantiation,[],[f348])). 250.55/31.98 thf(f348,plain,( 250.55/31.98 ( ! [X12 : $o,X13 : (a > $o) > $o] : (($true = X12) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X13)) | ($false = vAPP(sTfun(a,$o),$o,X13,vAPP($o,sTfun(a,$o),kCOMB,X12)))) ) | ~spl12_2), 250.55/31.98 inference(kx_narrow,[],[f330])). 250.55/31.98 thf(f9580,plain,( 250.55/31.98 (sK40 = vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a)),bCOMB,sK47),sK6)))) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f9568])). 250.55/31.98 thf(f9568,plain,( 250.55/31.98 ($true != $true) | (sK40 = vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a),vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(a,$o),a)),bCOMB,sK47),sK6)))) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f266,f9272])). 250.55/31.98 thf(f9272,plain,( 250.55/31.98 ( ! [X14 : a > $o] : ((sK40 = X14) | ($true = vAPP(a,$o,X14,vAPP(sTfun(a,$o),a,sK47,X14)))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f9236])). 250.55/31.98 thf(f9236,plain,( 250.55/31.98 ( ! [X14 : a > $o] : (($false != $false) | (sK40 = X14) | ($true = vAPP(a,$o,X14,vAPP(sTfun(a,$o),a,sK47,X14)))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f8637,f9090])). 250.55/31.98 thf(f9090,plain,( 250.55/31.98 ( ! [X36 : (a > $o) > a,X37 : a > $o] : (($false = vAPP(a,$o,X37,vAPP(sTfun(a,$o),a,X36,X37))) | ($true = vAPP(a,$o,X37,vAPP(sTfun(a,$o),a,sK47,X37)))) ) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f9089])). 250.55/31.98 thf(f9089,plain,( 250.55/31.98 ( ! [X36 : (a > $o) > a,X37 : a > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o)),sCOMB,iCOMB),X36),X37)) | ($true = vAPP(a,$o,X37,vAPP(sTfun(a,$o),a,sK47,X37)))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f9076])). 250.55/31.98 thf(f9076,plain,( 250.55/31.98 ( ! [X36 : (a > $o) > a,X37 : a > $o] : (($true = $false) | ($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o)),sCOMB,iCOMB),X36),X37)) | ($true = vAPP(a,$o,X37,vAPP(sTfun(a,$o),a,sK47,X37)))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f5610,f5861])). 250.55/31.98 thf(f5861,plain,( 250.55/31.98 ( ! [X18 : (a > $o) > a] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o)),sCOMB,iCOMB),X18)))) ) | ~spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f5628,f53])). 250.55/31.98 thf(f5628,plain,( 250.55/31.98 ( ! [X18 : (a > $o) > a] : (($true = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o)),sCOMB,iCOMB),X18)),vAPP(sTfun(a,$o),a,X18,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o)),sCOMB,iCOMB),X18))))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(sTfun(sTfun(a,$o),a),sTfun(sTfun(a,$o),$o)),sCOMB,iCOMB),X18)))) ) | ~spl12_2), 250.55/31.98 inference(i_narrow,[],[f59])). 250.55/31.98 thf(f59,plain,( 250.55/31.98 ( ! [X0 : $tType,X2 : (a > $o) > X0,X1 : (a > $o) > X0 > $o] : (($true = vAPP(X0,$o,vAPP(sTfun(a,$o),sTfun(X0,$o),X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(sTfun(a,$o),X0),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(X0,$o)),sTfun(sTfun(sTfun(a,$o),X0),sTfun(sTfun(a,$o),$o)),sCOMB,X1),X2))),vAPP(sTfun(a,$o),X0,X2,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(sTfun(a,$o),X0),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(X0,$o)),sTfun(sTfun(sTfun(a,$o),X0),sTfun(sTfun(a,$o),$o)),sCOMB,X1),X2))))) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(sTfun(a,$o),X0),sTfun(sTfun(a,$o),$o),vAPP(sTfun(sTfun(a,$o),sTfun(X0,$o)),sTfun(sTfun(sTfun(a,$o),X0),sTfun(sTfun(a,$o),$o)),sCOMB,X1),X2)))) ) | ~spl12_2), 250.55/31.98 inference(sxx_narrow,[],[f54])). 250.55/31.98 thf(f5610,plain,( 250.55/31.98 ( ! [X76 : (a > $o) > $o,X75 : a > $o] : (($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X76)) | ($false = vAPP(sTfun(a,$o),$o,X76,X75)) | ($true = vAPP(a,$o,X75,vAPP(sTfun(a,$o),a,sK47,X75)))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f5609])). 250.55/31.98 thf(f5609,plain,( 250.55/31.98 ( ! [X76 : (a > $o) > $o,X75 : a > $o] : (($true = $false) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X76)) | ($false = vAPP(sTfun(a,$o),$o,X76,X75)) | ($true = vAPP(a,$o,X75,vAPP(sTfun(a,$o),a,sK47,X75)))) ) | ~spl12_2), 250.55/31.98 inference(forward_demodulation,[],[f5607,f5283])). 250.55/31.98 thf(f5283,plain,( 250.55/31.98 ( ! [X1 : a] : (($false = vAPP(a,$o,sK40,X1))) ) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f5221])). 250.55/31.98 thf(f5221,plain,( 250.55/31.98 ( ! [X1 : a] : ((vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,$false),X1) = vAPP(a,$o,sK40,X1))) ) | ~spl12_2), 250.55/31.98 inference(argument_congruence,[],[f5209])). 250.55/31.98 thf(f5607,plain,( 250.55/31.98 ( ! [X76 : (a > $o) > $o,X75 : a > $o] : (($true = vAPP(a,$o,sK40,vAPP(sTfun(a,$o),a,sK47,X75))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X76)) | ($false = vAPP(sTfun(a,$o),$o,X76,X75)) | ($true = vAPP(a,$o,X75,vAPP(sTfun(a,$o),a,sK47,X75)))) ) | ~spl12_2), 250.55/31.98 inference(binary_proxy_clausification,[],[f5604])). 250.55/31.98 thf(f5604,plain,( 250.55/31.98 ( ! [X76 : (a > $o) > $o,X75 : a > $o] : ((vAPP(a,$o,sK40,vAPP(sTfun(a,$o),a,sK47,X75)) != vAPP(a,$o,X75,vAPP(sTfun(a,$o),a,sK47,X75))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X76)) | ($false = vAPP(sTfun(a,$o),$o,X76,X75))) ) | ~spl12_2), 250.55/31.98 inference(negative_extensionality,[],[f5281])). 250.55/31.98 thf(f5281,plain,( 250.55/31.98 ( ! [X76 : (a > $o) > $o,X75 : a > $o] : ((sK40 != X75) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X76)) | ($false = vAPP(sTfun(a,$o),$o,X76,X75))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f5272])). 250.55/31.98 thf(f5272,plain,( 250.55/31.98 ( ! [X76 : (a > $o) > $o,X75 : a > $o] : ((sK40 != X75) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X76)) | ($false = vAPP(sTfun(a,$o),$o,X76,X75)) | (vAPP($o,sTfun(a,$o),kCOMB,$false) != vAPP($o,sTfun(a,$o),kCOMB,$false))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f3483,f5209])). 250.55/31.98 thf(f3483,plain,( 250.55/31.98 ( ! [X26 : a > $o,X27 : (a > $o) > $o] : ((vAPP($o,sTfun(a,$o),kCOMB,$false) != X26) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X27)) | ($false = vAPP(sTfun(a,$o),$o,X27,X26))) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f3482])). 250.55/31.98 thf(f3482,plain,( 250.55/31.98 ( ! [X26 : a > $o,X27 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X26),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X27)) | ($false = vAPP(sTfun(a,$o),$o,X27,X26))) ) | ~spl12_2), 250.55/31.98 inference(boolean_simplification,[],[f3481])). 250.55/31.98 thf(f3481,plain,( 250.55/31.98 ( ! [X26 : a > $o,X27 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X26),vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$true)))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X27)) | ($false = vAPP(sTfun(a,$o),$o,X27,X26))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f3420])). 250.55/31.98 thf(f3420,plain,( 250.55/31.98 ( ! [X26 : a > $o,X27 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X26),vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$true)))) | ($true = $false) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X27)) | ($false = vAPP(sTfun(a,$o),$o,X27,X26))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f716,f396])). 250.55/31.98 thf(f396,plain,( 250.55/31.98 ( ! [X11 : a > $o,X12 : (a > $o) > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X11))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X12)) | ($false = vAPP(sTfun(a,$o),$o,X12,X11))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f375])). 250.55/31.98 thf(f375,plain,( 250.55/31.98 ( ! [X11 : a > $o,X12 : (a > $o) > $o] : (($true = $false) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X11))) | ($false = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X12)) | ($false = vAPP(sTfun(a,$o),$o,X12,X11))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f91,f330])). 250.55/31.98 thf(f8637,plain,( 250.55/31.98 ( ! [X32 : a > $o] : (($false != vAPP(a,$o,X32,vAPP(sTfun(a,$o),a,sK59,X32))) | (sK40 = X32)) ) | ~spl12_2), 250.55/31.98 inference(combinator_demodulation,[],[f8624])). 250.55/31.98 thf(f8624,plain,( 250.55/31.98 ( ! [X32 : a > $o] : ((vAPP(a,$o,vAPP($o,sTfun(a,$o),kCOMB,$false),vAPP(sTfun(a,$o),a,sK59,X32)) != vAPP(a,$o,X32,vAPP(sTfun(a,$o),a,sK59,X32))) | (sK40 = X32)) ) | ~spl12_2), 250.55/31.98 inference(negative_extensionality,[],[f8615])). 250.55/31.98 thf(f8615,plain,( 250.55/31.98 ( ! [X32 : a > $o] : ((vAPP($o,sTfun(a,$o),kCOMB,$false) != X32) | (sK40 = X32)) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f8614])). 250.55/31.98 thf(f8614,plain,( 250.55/31.98 ( ! [X32 : a > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X32),vAPP($o,sTfun(a,$o),kCOMB,$false))) | (sK40 = X32)) ) | ~spl12_2), 250.55/31.98 inference(boolean_simplification,[],[f8613])). 250.55/31.98 thf(f8613,plain,( 250.55/31.98 ( ! [X32 : a > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X32),vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$true)))) | (sK40 = X32)) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f8597])). 250.55/31.98 thf(f8597,plain,( 250.55/31.98 ( ! [X32 : a > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X32),vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$true)))) | ($true = $false) | (sK40 = X32)) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f716,f6985])). 250.55/31.98 thf(f6985,plain,( 250.55/31.98 ( ! [X0 : a > $o] : (($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0))) | (sK40 = X0)) ) | ~spl12_2), 250.55/31.98 inference(equality_proxy_clausification,[],[f6821])). 250.55/31.98 thf(f6821,plain,( 250.55/31.98 ( ! [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0),sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),X0)))) ) | ~spl12_2), 250.55/31.98 inference(primitive_instantiation,[],[f6815])). 250.55/31.98 thf(f6815,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f6814])). 250.55/31.98 thf(f6814,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : (($true = $false) | ($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4))) ) | ~spl12_2), 250.55/31.98 inference(forward_demodulation,[],[f6813,f5283])). 250.55/31.98 thf(f6813,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) | ($true = vAPP(a,$o,sK40,vAPP(sTfun(sTfun(a,$o),$o),a,sK53,X4)))) ) | ~spl12_2), 250.55/31.98 inference(subsumption_resolution,[],[f6811,f53])). 250.55/31.98 thf(f6811,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : (($true = vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X4),vAPP(sTfun(sTfun(a,$o),$o),a,sK53,X4))) | ($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) | ($true = vAPP(a,$o,sK40,vAPP(sTfun(sTfun(a,$o),$o),a,sK53,X4)))) ) | ~spl12_2), 250.55/31.98 inference(binary_proxy_clausification,[],[f6803])). 250.55/31.98 thf(f6803,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : ((vAPP(a,$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X4),vAPP(sTfun(sTfun(a,$o),$o),a,sK53,X4)) != vAPP(a,$o,sK40,vAPP(sTfun(sTfun(a,$o),$o),a,sK53,X4))) | ($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4))) ) | ~spl12_2), 250.55/31.98 inference(negative_extensionality,[],[f6104])). 250.55/31.98 thf(f6104,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : ((vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X4) != sK40) | ($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4))) ) | ~spl12_2), 250.55/31.98 inference(forward_demodulation,[],[f6030,f5867])). 250.55/31.98 thf(f5867,plain,( 250.55/31.98 (sK40 = vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),sK40))) | ~spl12_2), 250.55/31.98 inference(leibniz_equality_elimination,[],[f5211])). 250.55/31.98 thf(f5211,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,X1,sK40)) | ($true = vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X1)))) ) | ~spl12_2), 250.55/31.98 inference(backward_demodulation,[],[f464,f5209])). 250.55/31.98 thf(f464,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X1))) | ($false = vAPP(sTfun(a,$o),$o,X1,vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f444])). 250.55/31.98 thf(f444,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > $o] : (($true = $false) | ($true = vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X1))) | ($false = vAPP(sTfun(a,$o),$o,X1,vAPP($o,sTfun(a,$o),kCOMB,$false)))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f54,f421])). 250.55/31.98 thf(f6030,plain,( 250.55/31.98 ( ! [X4 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,X4,sK40)) | ($true = vAPP(sTfun(sTfun(a,$o),$o),$o,sP0,X4)) | (vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,X4) != vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK5,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),vEQ(sTfun(a,$o)),sK40)))) ) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f54,f5867])). 250.55/31.98 thf(f266,plain,( 250.55/31.98 ( ! [X6 : $tType,X8 : (a > $o) > X6,X7 : X6 > a] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,vAPP(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),a),vAPP(sTfun(X6,a),sTfun(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),a)),bCOMB,X7),X8))),vAPP(X6,a,X7,vAPP(sTfun(a,$o),X6,X8,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,vAPP(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),a),vAPP(sTfun(X6,a),sTfun(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),a)),bCOMB,X7),X8))))))) ) | ~spl12_2), 250.55/31.98 inference(bxx_narrow,[],[f245])). 250.55/31.98 thf(f245,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > a] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1))))) ) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f242])). 250.55/31.98 thf(f242,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > a] : (($true = $false) | ($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1))))) ) | ~spl12_2), 250.55/31.98 inference(backward_demodulation,[],[f36,f209])). 250.55/31.98 thf(f209,plain,( 250.55/31.98 ($false = sP1) | ~spl12_2), 250.55/31.98 inference(trivial_inequality_removal,[],[f207])). 250.55/31.98 thf(f207,plain,( 250.55/31.98 ($true != $true) | ($false = sP1) | ~spl12_2), 250.55/31.98 inference(superposition,[],[f55,f175])). 250.55/31.98 thf(f36,plain,( 250.55/31.98 ( ! [X1 : (a > $o) > a] : (($true != vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK6,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)),vAPP(sTfun(a,$o),a,X1,vAPP(sTfun(sTfun(a,$o),a),sTfun(a,$o),sK7,X1)))) | ($true = sP1)) )), 250.55/31.98 inference(cnf_transformation,[],[f23])). 250.55/31.98 thf(f50,plain,( 250.55/31.98 spl12_1 | spl12_2), 250.55/31.98 inference(avatar_split_clause,[],[f40,f47,f43])). 250.55/31.98 thf(f40,plain,( 250.55/31.98 ($true = sP2) | ($true = sP1)), 250.55/31.98 inference(cnf_transformation,[],[f29])). 250.55/31.98 % SZS output end Proof for theBenchmark 250.55/31.98 % (25606)------------------------------ 250.55/31.98 % (25606)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 250.55/31.98 % (25606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 250.55/31.98 % (25606)Termination reason: Refutation 250.55/31.98 250.55/31.98 % (25606)Memory used [KB]: 17270 250.55/31.98 % (25606)Time elapsed: 0.529 s 250.55/31.98 % (25606)------------------------------ 250.55/31.98 % (25606)------------------------------ 250.55/31.98 % (25549)Success in time 31.613 s 250.55/32.01 EOF