0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.08/0.31 % Computer : n027.cluster.edu 0.08/0.31 % Model : x86_64 x86_64 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.31 % Memory : 8042.1875MB 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.31 % CPULimit : 960 0.08/0.31 % WCLimit : 120 0.08/0.31 % DateTime : Tue Aug 9 03:52:51 EDT 2022 0.08/0.32 % CPUTime : 0.08/0.32 This is a THF_ problem 0.08/0.32 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 0.08/0.32 % (21334)Running in auto input_syntax mode. Trying TPTP 0.13/0.44 % (21339)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 0.13/0.44 % (21336)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 0.13/0.44 % (21341)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 0.13/0.44 % (21342)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 0.13/0.45 % (21337)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 0.13/0.45 % (21338)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 0.13/0.45 % (21335)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 0.13/0.46 % (21339)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.46 % (21340)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 0.13/0.46 % (21342)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.47 % (21341)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.47 % (21337)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.26/0.90 % (21338)Time limit reached! 2.26/0.90 % (21338)------------------------------ 2.26/0.90 % (21338)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 2.26/0.90 % (21338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.26/0.90 % (21338)Termination reason: Time limit 2.26/0.90 2.26/0.90 % (21338)Memory used [KB]: 12537 2.26/0.90 % (21338)Time elapsed: 0.504 s 2.26/0.90 % (21338)------------------------------ 2.26/0.90 % (21338)------------------------------ 2.26/0.91 % (21336)Time limit reached! 2.26/0.91 % (21336)------------------------------ 2.26/0.91 % (21336)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 2.26/0.91 % (21336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.26/0.91 % (21336)Termination reason: Time limit 2.26/0.91 % (21336)Termination phase: Saturation 2.26/0.91 2.26/0.91 % (21336)Memory used [KB]: 13176 2.26/0.91 % (21336)Time elapsed: 0.500 s 2.26/0.91 % (21336)------------------------------ 2.26/0.91 % (21336)------------------------------ 2.47/0.96 % (21335)Time limit reached! 2.47/0.96 % (21335)------------------------------ 2.47/0.96 % (21335)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 2.47/0.96 % (21335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.47/0.96 % (21335)Termination reason: Time limit 2.47/0.96 2.47/0.96 % (21335)Memory used [KB]: 2942 2.47/0.96 % (21335)Time elapsed: 0.511 s 2.47/0.96 % (21335)------------------------------ 2.47/0.96 % (21335)------------------------------ 2.47/0.99 % (21341)Time limit reached! 2.47/0.99 % (21341)------------------------------ 2.47/0.99 % (21341)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 2.47/1.00 % (21341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.47/1.00 % (21341)Termination reason: Time limit 2.47/1.00 % (21341)Termination phase: Saturation 2.47/1.00 2.47/1.00 % (21341)Memory used [KB]: 13560 2.47/1.00 % (21341)Time elapsed: 0.600 s 2.47/1.00 % (21341)------------------------------ 2.47/1.00 % (21341)------------------------------ 2.67/1.02 % (21337)Time limit reached! 2.67/1.02 % (21337)------------------------------ 2.67/1.02 % (21337)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 2.67/1.02 % (21337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.67/1.02 % (21337)Termination reason: Time limit 2.67/1.02 2.67/1.02 % (21337)Memory used [KB]: 12792 2.67/1.02 % (21337)Time elapsed: 0.625 s 2.67/1.02 % (21337)------------------------------ 2.67/1.02 % (21337)------------------------------ 2.67/1.03 % (21343)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 2.67/1.05 % (21344)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 2.67/1.06 % (21344)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.67/1.07 % (21343)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.67/1.07 % (21344)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 3.09/1.11 % (21345)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 3.09/1.11 % (21346)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 3.09/1.16 % (21347)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 5.14/1.59 % (21344)Time limit reached! 5.14/1.59 % (21344)------------------------------ 5.14/1.59 % (21344)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.14/1.60 % (21344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.14/1.60 % (21344)Termination reason: Time limit 5.14/1.60 % (21344)Termination phase: Saturation 5.14/1.60 5.14/1.60 % (21344)Memory used [KB]: 14583 5.14/1.60 % (21344)Time elapsed: 0.601 s 5.14/1.60 % (21344)------------------------------ 5.14/1.60 % (21344)------------------------------ 5.14/1.61 % (21346)Time limit reached! 5.14/1.61 % (21346)------------------------------ 5.14/1.61 % (21346)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.48/1.62 % (21346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.48/1.62 % (21346)Termination reason: Time limit 5.48/1.62 % (21346)Termination phase: Saturation 5.48/1.62 5.48/1.62 % (21346)Memory used [KB]: 12281 5.48/1.62 % (21346)Time elapsed: 0.500 s 5.48/1.62 % (21346)------------------------------ 5.48/1.62 % (21346)------------------------------ 5.48/1.64 % (21347)Time limit reached! 5.48/1.64 % (21347)------------------------------ 5.48/1.64 % (21347)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.48/1.64 % (21347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.48/1.64 % (21347)Termination reason: Time limit 5.48/1.64 % (21347)Termination phase: Saturation 5.48/1.64 5.48/1.64 % (21347)Memory used [KB]: 7164 5.48/1.64 % (21347)Time elapsed: 0.500 s 5.48/1.64 % (21347)------------------------------ 5.48/1.64 % (21347)------------------------------ 5.77/1.73 % (21348)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 5.77/1.75 % (21348)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 5.77/1.75 % (21349)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 6.14/1.78 % (21350)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 6.26/1.81 % (21350)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.78/1.95 % (21339)Time limit reached! 6.78/1.95 % (21339)------------------------------ 6.78/1.95 % (21339)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 6.78/1.97 % (21339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 6.78/1.97 % (21339)Termination reason: Time limit 6.78/1.97 % (21339)Termination phase: Saturation 6.78/1.97 6.78/1.97 % (21339)Memory used [KB]: 11641 6.78/1.97 % (21339)Time elapsed: 1.500 s 6.78/1.97 % (21339)------------------------------ 6.78/1.97 % (21339)------------------------------ 7.07/1.99 % (21340)Time limit reached! 7.07/1.99 % (21340)------------------------------ 7.07/1.99 % (21340)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 7.07/1.99 % (21340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.07/1.99 % (21340)Termination reason: Time limit 7.07/1.99 % (21340)Termination phase: Saturation 7.07/1.99 7.07/1.99 % (21340)Memory used [KB]: 22771 7.07/1.99 % (21340)Time elapsed: 1.600 s 7.07/1.99 % (21340)------------------------------ 7.07/1.99 % (21340)------------------------------ 7.57/2.11 % (21351)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 7.57/2.12 % (21351)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 7.70/2.13 % (21352)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 7.74/2.13 % (21349)Time limit reached! 7.74/2.13 % (21349)------------------------------ 7.74/2.13 % (21349)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 7.74/2.13 % (21349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.74/2.13 % (21349)Termination reason: Time limit 7.74/2.13 % (21349)Termination phase: Saturation 7.74/2.13 7.74/2.13 % (21349)Memory used [KB]: 8571 7.74/2.13 % (21349)Time elapsed: 0.400 s 7.74/2.13 % (21349)------------------------------ 7.74/2.13 % (21349)------------------------------ 7.74/2.14 % (21351)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 7.74/2.15 % (21352)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 7.74/2.20 % (21353)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 10.64/2.76 % (21350)Time limit reached! 10.64/2.76 % (21350)------------------------------ 10.64/2.76 % (21350)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 10.64/2.76 % (21350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 10.64/2.76 % (21350)Termination reason: Time limit 10.64/2.76 % (21350)Termination phase: Saturation 10.64/2.76 10.64/2.76 % (21350)Memory used [KB]: 17526 10.64/2.76 % (21350)Time elapsed: 1.0000 s 10.64/2.76 % (21350)------------------------------ 10.64/2.76 % (21350)------------------------------ 11.12/2.79 % (21348)Time limit reached! 11.12/2.79 % (21348)------------------------------ 11.12/2.79 % (21348)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 11.12/2.79 % (21348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 11.12/2.79 % (21348)Termination reason: Time limit 11.12/2.79 11.12/2.79 % (21348)Memory used [KB]: 11897 11.12/2.79 % (21348)Time elapsed: 1.123 s 11.12/2.79 % (21348)------------------------------ 11.12/2.79 % (21348)------------------------------ 11.32/2.90 % (21354)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 11.32/2.92 % (21354)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 11.80/2.94 % (21355)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 12.50/3.09 % (21353)Time limit reached! 12.50/3.09 % (21353)------------------------------ 12.50/3.09 % (21353)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 12.50/3.09 % (21353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 12.50/3.09 % (21353)Termination reason: Time limit 12.50/3.09 % (21353)Termination phase: Saturation 12.50/3.09 12.50/3.09 % (21353)Memory used [KB]: 14072 12.50/3.09 % (21353)Time elapsed: 0.900 s 12.50/3.09 % (21353)------------------------------ 12.50/3.09 % (21353)------------------------------ 13.25/3.22 % (21356)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 16.48/3.86 % (21342)Time limit reached! 16.48/3.86 % (21342)------------------------------ 16.48/3.86 % (21342)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 16.48/3.86 % (21342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 16.48/3.86 % (21342)Termination reason: Time limit 16.48/3.86 16.48/3.86 % (21342)Memory used [KB]: 11897 16.48/3.86 % (21342)Time elapsed: 3.421 s 16.48/3.86 % (21342)------------------------------ 16.48/3.86 % (21342)------------------------------ 16.74/3.91 % (21354)Time limit reached! 16.74/3.91 % (21354)------------------------------ 16.74/3.91 % (21354)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 16.74/3.91 % (21354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 16.74/3.91 % (21354)Termination reason: Time limit 16.74/3.91 % (21354)Termination phase: Saturation 16.74/3.91 16.74/3.91 % (21354)Memory used [KB]: 12153 16.74/3.91 % (21354)Time elapsed: 1.100 s 16.74/3.91 % (21354)------------------------------ 16.74/3.91 % (21354)------------------------------ 17.24/3.98 % (21359)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 17.24/3.99 % (21359)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 17.36/3.99 % (21358)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 17.36/4.01 % (21358)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 18.00/4.13 % (21343)Time limit reached! 18.00/4.13 % (21343)------------------------------ 18.00/4.13 % (21343)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 18.00/4.14 % (21343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 18.00/4.14 % (21343)Termination reason: Time limit 18.00/4.14 18.00/4.14 % (21343)Memory used [KB]: 14328 18.00/4.14 % (21343)Time elapsed: 3.170 s 18.00/4.14 % (21343)------------------------------ 18.00/4.14 % (21343)------------------------------ 18.26/4.25 % (21360)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 18.71/4.25 % (21360)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 22.87/5.01 % (21358)Time limit reached! 22.87/5.01 % (21358)------------------------------ 22.87/5.01 % (21358)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 22.87/5.01 % (21358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 22.87/5.01 % (21358)Termination reason: Time limit 22.87/5.01 % (21358)Termination phase: Saturation 22.87/5.01 22.87/5.01 % (21358)Memory used [KB]: 6652 22.87/5.01 % (21358)Time elapsed: 1.100 s 22.87/5.01 % (21358)------------------------------ 22.87/5.01 % (21358)------------------------------ 23.45/5.04 % (21597)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 23.45/5.04 % (21597)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 24.61/5.26 % (21345)Time limit reached! 24.61/5.26 % (21345)------------------------------ 24.61/5.26 % (21345)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 24.61/5.26 % (21345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 24.61/5.26 % (21345)Termination reason: Time limit 24.61/5.26 % (21345)Termination phase: Saturation 24.61/5.26 24.61/5.26 % (21345)Memory used [KB]: 24050 24.61/5.26 % (21345)Time elapsed: 4.200 s 24.61/5.26 % (21345)------------------------------ 24.61/5.26 % (21345)------------------------------ 24.61/5.29 % (21352)Time limit reached! 24.61/5.29 % (21352)------------------------------ 24.61/5.29 % (21352)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 24.61/5.29 % (21352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 24.61/5.29 % (21352)Termination reason: Time limit 24.61/5.29 % (21352)Termination phase: Saturation 24.61/5.29 24.61/5.29 % (21352)Memory used [KB]: 30703 24.61/5.29 % (21352)Time elapsed: 3.200 s 24.61/5.29 % (21352)------------------------------ 24.61/5.29 % (21352)------------------------------ 24.61/5.32 % (21598)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 25.15/5.36 % (21599)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 31.27/6.38 % (21356)Time limit reached! 31.27/6.38 % (21356)------------------------------ 31.27/6.38 % (21356)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 31.27/6.38 % (21356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 31.27/6.38 % (21356)Termination reason: Time limit 31.27/6.38 % (21356)Termination phase: Saturation 31.27/6.38 31.27/6.38 % (21356)Memory used [KB]: 28528 31.27/6.38 % (21356)Time elapsed: 3.200 s 31.27/6.38 % (21356)------------------------------ 31.27/6.38 % (21356)------------------------------ 31.69/6.42 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 31.69/6.42 % (21600)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 32.53/6.54 % (21597)Time limit reached! 32.53/6.54 % (21597)------------------------------ 32.53/6.54 % (21597)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 32.53/6.55 % (21597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 32.53/6.55 % (21597)Termination reason: Time limit 32.53/6.55 % (21597)Termination phase: Saturation 32.53/6.55 32.53/6.55 % (21597)Memory used [KB]: 14328 32.53/6.55 % (21597)Time elapsed: 1.501 s 32.53/6.55 % (21597)------------------------------ 32.53/6.55 % (21597)------------------------------ 32.53/6.59 % (21601)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 36.98/7.22 % (21601)First to succeed. 36.98/7.23 % (21601)Refutation found. Thanks to Tanya! 36.98/7.23 % SZS status Theorem for theBenchmark 36.98/7.23 % SZS output start Proof for theBenchmark 36.98/7.23 thf(type_def_5, type, extended_ereal: $tType). 36.98/7.23 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType). 36.98/7.23 thf(type_def_7, type, a: $tType). 36.98/7.23 thf(type_def_8, type, set_a: $tType). 36.98/7.23 thf(func_def_0, type, extended_ereal: $tType). 36.98/7.23 thf(func_def_1, type, set_a: $tType). 36.98/7.23 thf(func_def_2, type, a: $tType). 36.98/7.23 thf(func_def_3, type, extend1289208545_ereal: extended_ereal). 36.98/7.23 thf(func_def_4, type, extended_MInfty: extended_ereal). 36.98/7.23 thf(func_def_5, type, extended_PInfty: extended_ereal). 36.98/7.23 thf(func_def_6, type, times_1966848393_ereal: extended_ereal > extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_7, type, uminus1208298309_ereal: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_8, type, zero_z163181189_ereal: extended_ereal). 36.98/7.23 thf(func_def_9, type, lower_191460856_ereal: a > (a > extended_ereal) > $o). 36.98/7.23 thf(func_def_10, type, ord_le2001149050_ereal: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_11, type, divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_12, type, collect_a: (a > $o) > set_a). 36.98/7.23 thf(func_def_13, type, topolo1276428101open_a: set_a > $o). 36.98/7.23 thf(func_def_14, type, member_a: a > set_a > $o). 36.98/7.23 thf(func_def_15, type, f: a > extended_ereal). 36.98/7.23 thf(func_def_16, type, x0: a). 36.98/7.23 thf(func_def_18, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 36.98/7.23 thf(func_def_21, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 36.98/7.23 thf(func_def_22, type, sP0: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > $o). 36.98/7.23 thf(func_def_23, type, sP1: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > $o). 36.98/7.23 thf(func_def_24, type, sP2: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > $o). 36.98/7.23 thf(func_def_25, type, sP3: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > $o). 36.98/7.23 thf(func_def_26, type, sP4: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_27, type, sP5: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_28, type, sP6: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_29, type, sP7: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_30, type, sP8: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_31, type, sP9: extended_ereal > extended_ereal > $o). 36.98/7.23 thf(func_def_32, type, sK10: extended_ereal > set_a). 36.98/7.23 thf(func_def_33, type, sK11: extended_ereal). 36.98/7.23 thf(func_def_34, type, sK12: set_a > a). 36.98/7.23 thf(func_def_35, type, sK13: a > a > set_a). 36.98/7.23 thf(func_def_36, type, sK14: a > a > set_a). 36.98/7.23 thf(func_def_37, type, sK15: a > a > set_a). 36.98/7.23 thf(func_def_38, type, sK16: a > a > set_a). 36.98/7.23 thf(func_def_39, type, sK17: extended_ereal). 36.98/7.23 thf(func_def_40, type, sK18: set_a > a). 36.98/7.23 thf(func_def_41, type, sK19: extended_ereal > set_a). 36.98/7.23 thf(func_def_42, type, sK20: extended_ereal). 36.98/7.23 thf(func_def_43, type, sK21: set_a > a). 36.98/7.23 thf(func_def_44, type, sK22: extended_ereal > set_a). 36.98/7.23 thf(func_def_45, type, sK23: extended_ereal). 36.98/7.23 thf(func_def_46, type, sK24: set_a > a). 36.98/7.23 thf(func_def_47, type, sK25: extended_ereal > set_a). 36.98/7.23 thf(func_def_48, type, sK26: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_49, type, sK27: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_50, type, sK28: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_51, type, sK29: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_52, type, sK30: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_53, type, sK31: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_54, type, sK32: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_55, type, sK33: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_56, type, sK34: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_57, type, sK35: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_58, type, sK36: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_59, type, sK37: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_60, type, sK38: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_61, type, sK39: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_62, type, sK40: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_63, type, sK41: (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_64, type, sK42: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_65, type, sK43: extended_ereal > (extended_ereal > $o) > (extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_66, type, sK44: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_67, type, sK45: (extended_ereal > extended_ereal) > extended_ereal). 36.98/7.23 thf(func_def_68, type, sK46: (extended_ereal > extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_69, type, sK47: (extended_ereal > extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_70, type, sK48: (extended_ereal > extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_71, type, sK49: (extended_ereal > extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_72, type, sK50: (extended_ereal > extended_ereal > $o) > extended_ereal). 36.98/7.23 thf(func_def_73, type, sK51: extended_ereal > extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_74, type, sK52: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_75, type, sK53: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_76, type, sK54: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_77, type, sK55: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_78, type, sK56: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_79, type, sK57: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_80, type, sK58: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_81, type, sK59: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_82, type, sK60: extended_ereal > extended_ereal). 36.98/7.23 thf(func_def_87, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 36.98/7.23 thf(func_def_88, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 36.98/7.23 thf(func_def_89, type, vAND: $o > $o > $o). 36.98/7.23 thf(func_def_90, type, vOR: $o > $o > $o). 36.98/7.23 thf(func_def_91, type, vIMP: $o > $o > $o). 36.98/7.23 thf(func_def_92, type, vNOT: $o > $o). 36.98/7.23 thf(func_def_93, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 36.98/7.23 thf(func_def_94, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 36.98/7.23 thf(func_def_95, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 36.98/7.23 thf(f10777,plain,( 36.98/7.23 $false), 36.98/7.23 inference(avatar_sat_refutation,[],[f859,f958,f1086,f2958,f3475,f3488,f3574,f5019,f5113,f5221,f10776])). 36.98/7.23 thf(f10776,plain,( 36.98/7.23 spl61_1 | spl61_5 | ~spl61_36 | ~spl61_37), 36.98/7.23 inference(avatar_contradiction_clause,[],[f10775])). 36.98/7.23 thf(f10775,plain,( 36.98/7.23 $false | (spl61_1 | spl61_5 | ~spl61_36 | ~spl61_37)), 36.98/7.23 inference(subsumption_resolution,[],[f10774,f5112])). 36.98/7.23 thf(f5112,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))) | ~spl61_36), 36.98/7.23 inference(avatar_component_clause,[],[f5110])). 36.98/7.23 thf(f5110,plain,( 36.98/7.23 spl61_36 <=> ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0)))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_36])])). 36.98/7.23 thf(f10774,plain,( 36.98/7.23 ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))) | (spl61_1 | spl61_5 | ~spl61_36 | ~spl61_37)), 36.98/7.23 inference(trivial_inequality_removal,[],[f10745])). 36.98/7.23 thf(f10745,plain,( 36.98/7.23 ($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))) | (spl61_1 | spl61_5 | ~spl61_36 | ~spl61_37)), 36.98/7.23 inference(superposition,[],[f5477,f7458])). 36.98/7.23 thf(f7458,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,sK20))))) | (spl61_1 | ~spl61_36 | ~spl61_37)), 36.98/7.23 inference(trivial_inequality_removal,[],[f7404])). 36.98/7.23 thf(f7404,plain,( 36.98/7.23 ($true != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,sK20))))) | (spl61_1 | ~spl61_36 | ~spl61_37)), 36.98/7.23 inference(superposition,[],[f5483,f5112])). 36.98/7.23 thf(f5483,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X1)))))) ) | (spl61_1 | ~spl61_37)), 36.98/7.23 inference(subsumption_resolution,[],[f5482,f919])). 36.98/7.23 thf(f919,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X0))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) ) | spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f570,f854])). 36.98/7.23 thf(f854,plain,( 36.98/7.23 (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | spl61_1), 36.98/7.23 inference(avatar_component_clause,[],[f852])). 36.98/7.23 thf(f852,plain,( 36.98/7.23 spl61_1 <=> (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_1])])). 36.98/7.23 thf(f570,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X0))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) )), 36.98/7.23 inference(cnf_transformation,[],[f432])). 36.98/7.23 thf(f432,plain,( 36.98/7.23 ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ! [X0 : extended_ereal] : ((($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0))) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(extended_ereal,set_a,sK10,X0)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X0)))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & ((! [X4 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,X4)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK12,X4)),X4))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))), 36.98/7.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f428,f431,f430,f429])). 36.98/7.23 thf(f429,plain,( 36.98/7.23 ! [X0 : extended_ereal] : (? [X1 : set_a] : (($true = vAPP(set_a,$o,topolo1276428101open_a,X1)) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))) => (($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0))) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(extended_ereal,set_a,sK10,X0)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X0)))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f430,plain,( 36.98/7.23 ? [X3 : extended_ereal] : (! [X4 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | ? [X5 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) => (! [X4 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | ? [X5 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,X5))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f431,plain,( 36.98/7.23 ! [X4 : set_a] : (? [X5 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,X5))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) => (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,X4)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK12,X4)),X4))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f428,plain,( 36.98/7.23 ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ! [X0 : extended_ereal] : (? [X1 : set_a] : (($true = vAPP(set_a,$o,topolo1276428101open_a,X1)) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & (? [X3 : extended_ereal] : (! [X4 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | ? [X5 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))), 36.98/7.23 inference(rectify,[],[f427])). 36.98/7.23 thf(f427,plain,( 36.98/7.23 ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ! [X0 : extended_ereal] : (? [X1 : set_a] : (($true = vAPP(set_a,$o,topolo1276428101open_a,X1)) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & (? [X0 : extended_ereal] : (! [X1 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | ? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))), 36.98/7.23 inference(nnf_transformation,[],[f320])). 36.98/7.23 thf(f320,plain,( 36.98/7.23 (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <=> ? [X0 : extended_ereal] : (! [X1 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | ? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))), 36.98/7.23 inference(ennf_transformation,[],[f125])). 36.98/7.23 thf(f125,plain,( 36.98/7.23 ~((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <~> ~! [X0 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))) => ? [X1 : set_a] : (($true = vAPP(set_a,$o,topolo1276428101open_a,X1)) & ! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1)) => ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)))))), 36.98/7.23 inference(fool_elimination,[],[f124])). 36.98/7.23 thf(f124,plain,( 36.98/7.23 ~(vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != ~! [X0 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)) => ? [X1 : set_a] : (vAPP(set_a,$o,topolo1276428101open_a,X1) & ! [X2 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))))), 36.98/7.23 inference(rectify,[],[f33])). 36.98/7.23 thf(f33,negated_conjecture,( 36.98/7.23 ~(vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != ~! [X8 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,x0)) => ? [X9 : set_a] : (vAPP(set_a,$o,topolo1276428101open_a,X9) & ! [X10 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X10),X9) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,X10))) & vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X9))))), 36.98/7.23 inference(negated_conjecture,[],[f32])). 36.98/7.23 thf(f32,conjecture,( 36.98/7.23 (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != ~! [X8 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,x0)) => ? [X9 : set_a] : (vAPP(set_a,$o,topolo1276428101open_a,X9) & ! [X10 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X10),X9) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,X10))) & vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X9))))), 36.98/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 36.98/7.23 thf(f5482,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X1))))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X1)))) ) | (spl61_1 | ~spl61_37)), 36.98/7.23 inference(subsumption_resolution,[],[f5480,f860])). 36.98/7.23 thf(f860,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0)))) ) | spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f572,f854])). 36.98/7.23 thf(f572,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) )), 36.98/7.23 inference(cnf_transformation,[],[f432])). 36.98/7.23 thf(f5480,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X1))))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X1)))) ) | (spl61_1 | ~spl61_37)), 36.98/7.23 inference(trivial_inequality_removal,[],[f5479])). 36.98/7.23 thf(f5479,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X1))))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X1)))) ) | (spl61_1 | ~spl61_37)), 36.98/7.23 inference(superposition,[],[f5026,f5220])). 36.98/7.23 thf(f5220,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1))) ) | ~spl61_37), 36.98/7.23 inference(avatar_component_clause,[],[f5219])). 36.98/7.23 thf(f5219,plain,( 36.98/7.23 spl61_37 <=> ! [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_37])])). 36.98/7.23 thf(f5026,plain,( 36.98/7.23 ( ! [X2 : a,X0 : extended_ereal] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(extended_ereal,set_a,sK10,X0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) ) | spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f571,f854])). 36.98/7.23 thf(f571,plain,( 36.98/7.23 ( ! [X2 : a,X0 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(extended_ereal,set_a,sK10,X0))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) )), 36.98/7.23 inference(cnf_transformation,[],[f432])). 36.98/7.23 thf(f5477,plain,( 36.98/7.23 ( ! [X2 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X2))))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X2),vAPP(a,extended_ereal,f,x0)))) ) | (spl61_1 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f5472,f860])). 36.98/7.23 thf(f5472,plain,( 36.98/7.23 ( ! [X2 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X2))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X2))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X2),vAPP(a,extended_ereal,f,x0)))) ) | (spl61_1 | spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f5471])). 36.98/7.23 thf(f5471,plain,( 36.98/7.23 ( ! [X2 : extended_ereal] : (($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,vAPP(extended_ereal,set_a,sK10,X2))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X2))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X2),vAPP(a,extended_ereal,f,x0)))) ) | (spl61_1 | spl61_5)), 36.98/7.23 inference(superposition,[],[f5414,f919])). 36.98/7.23 thf(f5414,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,X1)))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) ) | (spl61_1 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f5025,f1082])). 36.98/7.23 thf(f1082,plain,( 36.98/7.23 (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) | spl61_5), 36.98/7.23 inference(avatar_component_clause,[],[f1080])). 36.98/7.23 thf(f1080,plain,( 36.98/7.23 spl61_5 <=> (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_5])])). 36.98/7.23 thf(f5025,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,X1)))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))) ) | spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f963,f854])). 36.98/7.23 thf(f963,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,X1)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(subsumption_resolution,[],[f596,f759])). 36.98/7.23 thf(f759,plain,( 36.98/7.23 ( ! [X0 : a > extended_ereal,X1 : a] : ((vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) != vAPP(a,extended_ereal,X0,X1)) | ($true = vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,X1),X0))) )), 36.98/7.23 inference(cnf_transformation,[],[f396])). 36.98/7.23 thf(f396,plain,( 36.98/7.23 ! [X0 : a > extended_ereal,X1 : a] : (($true = vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,X1),X0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) != vAPP(a,extended_ereal,X0,X1)))), 36.98/7.23 inference(ennf_transformation,[],[f207])). 36.98/7.23 thf(f207,plain,( 36.98/7.23 ! [X0 : a > extended_ereal,X1 : a] : ((vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,X0,X1)) => ($true = vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,X1),X0)))), 36.98/7.23 inference(fool_elimination,[],[f206])). 36.98/7.23 thf(f206,plain,( 36.98/7.23 ! [X0 : a > extended_ereal,X1 : a] : ((vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,X0,X1)) => vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,X1),X0))), 36.98/7.23 inference(rectify,[],[f74])). 36.98/7.23 thf(f74,axiom,( 36.98/7.23 ! [X19 : a > extended_ereal,X26 : a] : ((vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,X19,X26)) => vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,X26),X19))), 36.98/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 36.98/7.23 thf(f596,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,X1)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f456])). 36.98/7.23 thf(f456,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | (! [X1 : set_a] : ((($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,X1)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))))) & (! [X3 : extended_ereal] : ((! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK22,X3)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X3))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X3)))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f452,f455,f454,f453])). 36.98/7.23 thf(f453,plain,( 36.98/7.23 ? [X0 : extended_ereal] : (! [X1 : set_a] : (? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) => (! [X1 : set_a] : (? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f454,plain,( 36.98/7.23 ! [X1 : set_a] : (? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) => (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK21,X1)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f455,plain,( 36.98/7.23 ! [X3 : extended_ereal] : (? [X4 : set_a] : (! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X4))) => (! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK22,X3)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X3))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X3)))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f452,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ? [X0 : extended_ereal] : (! [X1 : set_a] : (? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & (! [X3 : extended_ereal] : (? [X4 : set_a] : (! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X4))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(rectify,[],[f451])). 36.98/7.23 thf(f451,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ? [X0 : extended_ereal] : (! [X1 : set_a] : (? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & (! [X0 : extended_ereal] : (? [X1 : set_a] : (! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(nnf_transformation,[],[f325])). 36.98/7.23 thf(f325,plain,( 36.98/7.23 ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <=> ! [X0 : extended_ereal] : (? [X1 : set_a] : (! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(flattening,[],[f324])). 36.98/7.23 thf(f324,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <=> ! [X0 : extended_ereal] : (? [X1 : set_a] : (! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(ennf_transformation,[],[f131])). 36.98/7.23 thf(f131,plain,( 36.98/7.23 (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) != vAPP(a,extended_ereal,f,x0)) => ((extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) => ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <=> ! [X0 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))) => ? [X1 : set_a] : (! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1)) => ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1))))))), 36.98/7.23 inference(fool_elimination,[],[f130])). 36.98/7.23 thf(f130,plain,( 36.98/7.23 (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) != vAPP(a,extended_ereal,f,x0)) => ((extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) => (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = ! [X0 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)) => ? [X1 : set_a] : (! [X2 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1) & vAPP(set_a,$o,topolo1276428101open_a,X1)))))), 36.98/7.23 inference(rectify,[],[f11])). 36.98/7.23 thf(f11,axiom,( 36.98/7.23 (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) != vAPP(a,extended_ereal,f,x0)) => ((extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) => (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = ! [X8 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,x0)) => ? [X9 : set_a] : (! [X10 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X10),X9) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,X10))) & vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X9) & vAPP(set_a,$o,topolo1276428101open_a,X9)))))), 36.98/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 36.98/7.23 thf(f5221,plain,( 36.98/7.23 spl61_5 | spl61_37 | spl61_1), 36.98/7.23 inference(avatar_split_clause,[],[f5024,f852,f5219,f1080])). 36.98/7.23 thf(f5024,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))) ) | spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f964,f854])). 36.98/7.23 thf(f964,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(subsumption_resolution,[],[f595,f759])). 36.98/7.23 thf(f595,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK21,X1)),X1)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f456])). 36.98/7.23 thf(f5113,plain,( 36.98/7.23 spl61_5 | spl61_36 | spl61_1), 36.98/7.23 inference(avatar_split_clause,[],[f5021,f852,f5110,f1080])). 36.98/7.23 thf(f5021,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f965,f854])). 36.98/7.23 thf(f965,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(subsumption_resolution,[],[f594,f759])). 36.98/7.23 thf(f594,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK20),vAPP(a,extended_ereal,f,x0))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(cnf_transformation,[],[f456])). 36.98/7.23 thf(f5019,plain,( 36.98/7.23 spl61_1 | ~spl61_5 | ~spl61_25 | ~spl61_26), 36.98/7.23 inference(avatar_contradiction_clause,[],[f5018])). 36.98/7.23 thf(f5018,plain,( 36.98/7.23 $false | (spl61_1 | ~spl61_5 | ~spl61_25 | ~spl61_26)), 36.98/7.23 inference(subsumption_resolution,[],[f5017,f3487])). 36.98/7.23 thf(f3487,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),extend1289208545_ereal)) | ~spl61_25), 36.98/7.23 inference(avatar_component_clause,[],[f3485])). 36.98/7.23 thf(f3485,plain,( 36.98/7.23 spl61_25 <=> ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),extend1289208545_ereal))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_25])])). 36.98/7.23 thf(f5017,plain,( 36.98/7.23 ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),extend1289208545_ereal)) | (spl61_1 | ~spl61_5 | ~spl61_25 | ~spl61_26)), 36.98/7.23 inference(trivial_inequality_removal,[],[f4988])). 36.98/7.23 thf(f4988,plain,( 36.98/7.23 ($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),extend1289208545_ereal)) | (spl61_1 | ~spl61_5 | ~spl61_25 | ~spl61_26)), 36.98/7.23 inference(superposition,[],[f3726,f4359])). 36.98/7.23 thf(f4359,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,sK23))))) | (spl61_1 | ~spl61_5 | ~spl61_25 | ~spl61_26)), 36.98/7.23 inference(trivial_inequality_removal,[],[f4308])). 36.98/7.23 thf(f4308,plain,( 36.98/7.23 ($true != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,sK23))))) | (spl61_1 | ~spl61_5 | ~spl61_25 | ~spl61_26)), 36.98/7.23 inference(superposition,[],[f4012,f3487])). 36.98/7.23 thf(f4012,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X1)))))) ) | (spl61_1 | ~spl61_5 | ~spl61_26)), 36.98/7.23 inference(subsumption_resolution,[],[f4011,f3602])). 36.98/7.23 thf(f3602,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X0))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true)) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(forward_demodulation,[],[f919,f1081])). 36.98/7.23 thf(f1081,plain,( 36.98/7.23 (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | ~spl61_5), 36.98/7.23 inference(avatar_component_clause,[],[f1080])). 36.98/7.23 thf(f4011,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X1))))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X1)))) ) | (spl61_1 | ~spl61_5 | ~spl61_26)), 36.98/7.23 inference(subsumption_resolution,[],[f4007,f3573])). 36.98/7.23 thf(f3573,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true)) ) | ~spl61_26), 36.98/7.23 inference(avatar_component_clause,[],[f3572])). 36.98/7.23 thf(f3572,plain,( 36.98/7.23 spl61_26 <=> ! [X0 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0))))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_26])])). 36.98/7.23 thf(f4007,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X1))))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X1)))) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f4006])). 36.98/7.23 thf(f4006,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X1))))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK10,X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X1)))) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(superposition,[],[f3983,f3716])). 36.98/7.23 thf(f3716,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK24,X1)),X1)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f3477,f854])). 36.98/7.23 thf(f3477,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK24,X1)),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)) ) | ~spl61_5), 36.98/7.23 inference(subsumption_resolution,[],[f601,f1081])). 36.98/7.23 thf(f601,plain,( 36.98/7.23 ( ! [X1 : set_a] : ((extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK24,X1)),X1)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)) )), 36.98/7.23 inference(cnf_transformation,[],[f462])). 36.98/7.23 thf(f462,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | (! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,X1)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK24,X1)),X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,x0))))) & (! [X3 : extended_ereal] : ((($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X3))) & ! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK25,X3)))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3)))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25])],[f458,f461,f460,f459])). 36.98/7.23 thf(f459,plain,( 36.98/7.23 ? [X0 : extended_ereal] : (! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) => (! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,x0))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f460,plain,( 36.98/7.23 ! [X1 : set_a] : (? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) => (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,X1)))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK24,X1)),X1))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f461,plain,( 36.98/7.23 ! [X3 : extended_ereal] : (? [X4 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) & ! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X4))) => (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X3))) & ! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK25,X3)))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3)))))), 36.98/7.23 introduced(choice_axiom,[])). 36.98/7.23 thf(f458,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ? [X0 : extended_ereal] : (! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & (! [X3 : extended_ereal] : (? [X4 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) & ! [X5 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),X4))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X4))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(rectify,[],[f457])). 36.98/7.23 thf(f457,plain,( 36.98/7.23 (((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ? [X0 : extended_ereal] : (! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ? [X2 : a] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) & ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) & (! [X0 : extended_ereal] : (? [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(nnf_transformation,[],[f326])). 36.98/7.23 thf(f326,plain,( 36.98/7.23 ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <=> ! [X0 : extended_ereal] : (? [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ! [X2 : a] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))), 36.98/7.23 inference(ennf_transformation,[],[f129])). 36.98/7.23 thf(f129,plain,( 36.98/7.23 (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) => ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) <=> ! [X0 : extended_ereal] : (($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0))) => ? [X1 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) & ! [X2 : a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1)) => ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2)))) & ($true = vAPP(set_a,$o,topolo1276428101open_a,X1)))))), 36.98/7.23 inference(fool_elimination,[],[f128])). 36.98/7.23 thf(f128,plain,( 36.98/7.23 (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) => (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = ! [X0 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)) => ? [X1 : set_a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1) & ! [X2 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),X1) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) & vAPP(set_a,$o,topolo1276428101open_a,X1))))), 36.98/7.23 inference(rectify,[],[f40])). 36.98/7.23 thf(f40,axiom,( 36.98/7.23 (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) => (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = ! [X8 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,x0)) => ? [X9 : set_a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X9) & ! [X10 : a] : (vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X10),X9) => vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X8),vAPP(a,extended_ereal,f,X10))) & vAPP(set_a,$o,topolo1276428101open_a,X9))))), 36.98/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 36.98/7.23 thf(f3983,plain,( 36.98/7.23 ( ! [X2 : a,X0 : extended_ereal] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(extended_ereal,set_a,sK10,X0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true)) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f3480,f854])). 36.98/7.23 thf(f3480,plain,( 36.98/7.23 ( ! [X2 : a,X0 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,X2))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X2),vAPP(extended_ereal,set_a,sK10,X0)))) ) | ~spl61_5), 36.98/7.23 inference(forward_demodulation,[],[f571,f1081])). 36.98/7.23 thf(f3726,plain,( 36.98/7.23 ( ! [X2 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X2))))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X2),extend1289208545_ereal) != $true)) ) | (spl61_1 | ~spl61_5 | ~spl61_26)), 36.98/7.23 inference(subsumption_resolution,[],[f3721,f3573])). 36.98/7.23 thf(f3721,plain,( 36.98/7.23 ( ! [X2 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X2))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X2))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X2),extend1289208545_ereal) != $true)) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f3720])). 36.98/7.23 thf(f3720,plain,( 36.98/7.23 ( ! [X2 : extended_ereal] : (($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,vAPP(extended_ereal,set_a,sK10,X2))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X2))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X2),extend1289208545_ereal) != $true)) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(superposition,[],[f3717,f3602])). 36.98/7.23 thf(f3717,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,X1)))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1))) ) | (spl61_1 | ~spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f3478,f854])). 36.98/7.23 thf(f3478,plain,( 36.98/7.23 ( ! [X1 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,X1)))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)) ) | ~spl61_5), 36.98/7.23 inference(subsumption_resolution,[],[f602,f1081])). 36.98/7.23 thf(f602,plain,( 36.98/7.23 ( ! [X1 : set_a] : ((extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X1)) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK24,X1)))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X1)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)) )), 36.98/7.23 inference(cnf_transformation,[],[f462])). 36.98/7.23 thf(f3574,plain,( 36.98/7.23 spl61_1 | spl61_26 | ~spl61_5), 36.98/7.23 inference(avatar_split_clause,[],[f3482,f1080,f3572,f852])). 36.98/7.23 thf(f3482,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK10,X0)))) ) | ~spl61_5), 36.98/7.23 inference(forward_demodulation,[],[f572,f1081])). 36.98/7.23 thf(f3488,plain,( 36.98/7.23 spl61_1 | spl61_25 | ~spl61_5), 36.98/7.23 inference(avatar_split_clause,[],[f3483,f1080,f3485,f852])). 36.98/7.23 thf(f3483,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),extend1289208545_ereal)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ~spl61_5), 36.98/7.23 inference(subsumption_resolution,[],[f959,f1081])). 36.98/7.23 thf(f959,plain,( 36.98/7.23 (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),extend1289208545_ereal)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)), 36.98/7.23 inference(inner_rewriting,[],[f600])). 36.98/7.23 thf(f600,plain,( 36.98/7.23 (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0)) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK23),vAPP(a,extended_ereal,f,x0))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true)), 36.98/7.23 inference(cnf_transformation,[],[f462])). 36.98/7.23 thf(f3475,plain,( 36.98/7.23 ~spl61_1 | ~spl61_2 | ~spl61_5 | ~spl61_6), 36.98/7.23 inference(avatar_contradiction_clause,[],[f3474])). 36.98/7.23 thf(f3474,plain,( 36.98/7.23 $false | (~spl61_1 | ~spl61_2 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(subsumption_resolution,[],[f3473,f2969])). 36.98/7.23 thf(f2969,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),extend1289208545_ereal)) | (~spl61_2 | ~spl61_5)), 36.98/7.23 inference(backward_demodulation,[],[f858,f1081])). 36.98/7.23 thf(f858,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0))) | ~spl61_2), 36.98/7.23 inference(avatar_component_clause,[],[f856])). 36.98/7.23 thf(f856,plain,( 36.98/7.23 spl61_2 <=> ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0)))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_2])])). 36.98/7.23 thf(f3473,plain,( 36.98/7.23 ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),extend1289208545_ereal)) | (~spl61_1 | ~spl61_2 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(trivial_inequality_removal,[],[f3444])). 36.98/7.23 thf(f3444,plain,( 36.98/7.23 ($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),extend1289208545_ereal)) | (~spl61_1 | ~spl61_2 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(superposition,[],[f3068,f3414])). 36.98/7.23 thf(f3414,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,sK11))))) | (~spl61_1 | ~spl61_2 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(trivial_inequality_removal,[],[f3365])). 36.98/7.23 thf(f3365,plain,( 36.98/7.23 ($true != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,sK11))))) | (~spl61_1 | ~spl61_2 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(superposition,[],[f3331,f2969])). 36.98/7.23 thf(f3331,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X1)))))) ) | (~spl61_1 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(subsumption_resolution,[],[f3330,f3065])). 36.98/7.23 thf(f3065,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal))) ) | (~spl61_1 | ~spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f2963,f1081])). 36.98/7.23 thf(f2963,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X3))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f960,f853])). 36.98/7.23 thf(f853,plain,( 36.98/7.23 (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) = $true) | ~spl61_1), 36.98/7.23 inference(avatar_component_clause,[],[f852])). 36.98/7.23 thf(f960,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X3))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(inner_rewriting,[],[f599])). 36.98/7.23 thf(f599,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X3))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f462])). 36.98/7.23 thf(f3330,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X1))))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X1)))) ) | (~spl61_1 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(subsumption_resolution,[],[f3326,f1085])). 36.98/7.23 thf(f1085,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal))) ) | ~spl61_6), 36.98/7.23 inference(avatar_component_clause,[],[f1084])). 36.98/7.23 thf(f1084,plain,( 36.98/7.23 spl61_6 <=> ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3))))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_6])])). 36.98/7.23 thf(f3326,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X1))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X1)))) ) | (~spl61_1 | ~spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f3325])). 36.98/7.23 thf(f3325,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != $true) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),extend1289208545_ereal) != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X1))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK25,X1)))) ) | (~spl61_1 | ~spl61_5)), 36.98/7.23 inference(superposition,[],[f3115,f1185])). 36.98/7.23 thf(f1185,plain,( 36.98/7.23 ( ! [X4 : set_a] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK12,X4)),X4)) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f568,f853])). 36.98/7.23 thf(f568,plain,( 36.98/7.23 ( ! [X4 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,vAPP(set_a,a,sK12,X4)),X4)) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true)) )), 36.98/7.23 inference(cnf_transformation,[],[f432])). 36.98/7.23 thf(f3115,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK25,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5)))) ) | (~spl61_1 | ~spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f2960,f1081])). 36.98/7.23 thf(f2960,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK25,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f961,f853])). 36.98/7.23 thf(f961,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK25,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(inner_rewriting,[],[f598])). 36.98/7.23 thf(f598,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK25,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f462])). 36.98/7.23 thf(f3068,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X0))))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true)) ) | (~spl61_1 | ~spl61_5 | ~spl61_6)), 36.98/7.23 inference(subsumption_resolution,[],[f3067,f1085])). 36.98/7.23 thf(f3067,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X0))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X0))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true)) ) | (~spl61_1 | ~spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f3066])). 36.98/7.23 thf(f3066,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK25,X0))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X0))) | (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),extend1289208545_ereal) != $true)) ) | (~spl61_1 | ~spl61_5)), 36.98/7.23 inference(superposition,[],[f1256,f3065])). 36.98/7.23 thf(f1256,plain,( 36.98/7.23 ( ! [X4 : set_a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,X4)))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,X4))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f569,f853])). 36.98/7.23 thf(f569,plain,( 36.98/7.23 ( ! [X4 : set_a] : (($true != vAPP(set_a,$o,topolo1276428101open_a,X4)) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,X4)))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),X4)) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true)) )), 36.98/7.23 inference(cnf_transformation,[],[f432])). 36.98/7.23 thf(f2958,plain,( 36.98/7.23 ~spl61_1 | ~spl61_2 | spl61_3 | spl61_5), 36.98/7.23 inference(avatar_contradiction_clause,[],[f2957])). 36.98/7.23 thf(f2957,plain,( 36.98/7.23 $false | (~spl61_1 | ~spl61_2 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f2956,f858])). 36.98/7.23 thf(f2956,plain,( 36.98/7.23 ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0))) | (~spl61_1 | ~spl61_2 | spl61_3 | spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f2927])). 36.98/7.23 thf(f2927,plain,( 36.98/7.23 ($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0))) | (~spl61_1 | ~spl61_2 | spl61_3 | spl61_5)), 36.98/7.23 inference(superposition,[],[f1783,f2922])). 36.98/7.23 thf(f2922,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,sK11))))) | (~spl61_1 | ~spl61_2 | spl61_3 | spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f2872])). 36.98/7.23 thf(f2872,plain,( 36.98/7.23 ($true != $true) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,sK11))))) | (~spl61_1 | ~spl61_2 | spl61_3 | spl61_5)), 36.98/7.23 inference(superposition,[],[f1840,f858])). 36.98/7.23 thf(f1840,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X1)))))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1839,f1720])). 36.98/7.23 thf(f1720,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1719,f912])). 36.98/7.23 thf(f912,plain,( 36.98/7.23 (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) != vAPP(a,extended_ereal,f,x0)) | spl61_3), 36.98/7.23 inference(avatar_component_clause,[],[f911])). 36.98/7.23 thf(f911,plain,( 36.98/7.23 spl61_3 <=> (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))), 36.98/7.23 introduced(avatar_definition,[new_symbols(naming,[spl61_3])])). 36.98/7.23 thf(f1719,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X3))) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) ) | (~spl61_1 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1718,f1082])). 36.98/7.23 thf(f1718,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X3))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f592,f853])). 36.98/7.23 thf(f592,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X3))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f456])). 36.98/7.23 thf(f1839,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X1))))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X1)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1837,f1602])). 36.98/7.23 thf(f1602,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X3)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1601,f912])). 36.98/7.23 thf(f1601,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X3))) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) ) | (~spl61_1 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1600,f1082])). 36.98/7.23 thf(f1600,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X3))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f591,f853])). 36.98/7.23 thf(f591,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X3))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f456])). 36.98/7.23 thf(f1837,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X1))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X1)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f1836])). 36.98/7.23 thf(f1836,plain,( 36.98/7.23 ( ! [X1 : extended_ereal] : (($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X1),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X1))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X1))) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,x0),vAPP(extended_ereal,set_a,sK22,X1)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(superposition,[],[f1810,f1185])). 36.98/7.23 thf(f1810,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK22,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1809,f912])). 36.98/7.23 thf(f1809,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK22,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) ) | (~spl61_1 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1808,f1082])). 36.98/7.23 thf(f1808,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : (($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK22,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f593,f853])). 36.98/7.23 thf(f593,plain,( 36.98/7.23 ( ! [X3 : extended_ereal,X5 : a] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(set_a,$o,vAPP(a,sTfun(set_a,$o),member_a,X5),vAPP(extended_ereal,set_a,sK22,X3))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,X5))) | (extend1289208545_ereal = vAPP(a,extended_ereal,f,x0)) | (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f456])). 36.98/7.23 thf(f1783,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X0))))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(subsumption_resolution,[],[f1782,f1602])). 36.98/7.23 thf(f1782,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X0))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X0))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(trivial_inequality_removal,[],[f1781])). 36.98/7.23 thf(f1781,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : (($true != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,vAPP(set_a,a,sK12,vAPP(extended_ereal,set_a,sK22,X0))))) | ($true != vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK22,X0))) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(a,extended_ereal,f,x0)))) ) | (~spl61_1 | spl61_3 | spl61_5)), 36.98/7.23 inference(superposition,[],[f1256,f1720])). 36.98/7.23 thf(f1086,plain,( 36.98/7.23 ~spl61_5 | spl61_6 | ~spl61_1), 36.98/7.23 inference(avatar_split_clause,[],[f1078,f852,f1084,f1080])). 36.98/7.23 thf(f1078,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : (($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) ) | ~spl61_1), 36.98/7.23 inference(subsumption_resolution,[],[f962,f853])). 36.98/7.23 thf(f962,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),extend1289208545_ereal)) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(inner_rewriting,[],[f597])). 36.98/7.23 thf(f597,plain,( 36.98/7.23 ( ! [X3 : extended_ereal] : ((vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true) | ($true != vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X3),vAPP(a,extended_ereal,f,x0))) | ($true = vAPP(set_a,$o,topolo1276428101open_a,vAPP(extended_ereal,set_a,sK25,X3))) | (extend1289208545_ereal != vAPP(a,extended_ereal,f,x0))) )), 36.98/7.23 inference(cnf_transformation,[],[f462])). 36.98/7.23 thf(f958,plain,( 36.98/7.23 ~spl61_2 | ~spl61_3), 36.98/7.23 inference(avatar_contradiction_clause,[],[f957])). 36.98/7.23 thf(f957,plain,( 36.98/7.23 $false | (~spl61_2 | ~spl61_3)), 36.98/7.23 inference(subsumption_resolution,[],[f956,f741])). 36.98/7.23 thf(f741,plain,( 36.98/7.23 ( ! [X0 : extended_ereal] : ((vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal)) != $true)) )), 36.98/7.23 inference(cnf_transformation,[],[f306])). 36.98/7.23 thf(f306,plain,( 36.98/7.23 ! [X0 : extended_ereal] : (vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal)) != $true)), 36.98/7.23 inference(flattening,[],[f160])). 36.98/7.23 thf(f160,plain,( 36.98/7.23 ! [X0 : extended_ereal] : ~(vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal)) = $true)), 36.98/7.23 inference(fool_elimination,[],[f159])). 36.98/7.23 thf(f159,plain,( 36.98/7.23 ! [X0 : extended_ereal] : ~vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal))), 36.98/7.23 inference(rectify,[],[f38])). 36.98/7.23 thf(f38,axiom,( 36.98/7.23 ! [X0 : extended_ereal] : ~vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,X0),vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal))), 36.98/7.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 36.98/7.23 thf(f956,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal))) | (~spl61_2 | ~spl61_3)), 36.98/7.23 inference(forward_demodulation,[],[f858,f913])). 36.98/7.23 thf(f913,plain,( 36.98/7.23 (vAPP(extended_ereal,extended_ereal,uminus1208298309_ereal,extend1289208545_ereal) = vAPP(a,extended_ereal,f,x0)) | ~spl61_3), 36.98/7.23 inference(avatar_component_clause,[],[f911])). 36.98/7.23 thf(f859,plain,( 36.98/7.23 ~spl61_1 | spl61_2), 36.98/7.23 inference(avatar_split_clause,[],[f567,f856,f852])). 36.98/7.23 thf(f567,plain,( 36.98/7.23 ($true = vAPP(extended_ereal,$o,vAPP(extended_ereal,sTfun(extended_ereal,$o),ord_le2001149050_ereal,sK11),vAPP(a,extended_ereal,f,x0))) | (vAPP(sTfun(a,extended_ereal),$o,vAPP(a,sTfun(sTfun(a,extended_ereal),$o),lower_191460856_ereal,x0),f) != $true)), 36.98/7.23 inference(cnf_transformation,[],[f432])). 36.98/7.23 % SZS output end Proof for theBenchmark 36.98/7.23 % (21601)------------------------------ 36.98/7.23 % (21601)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 36.98/7.23 % (21601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 36.98/7.23 % (21601)Termination reason: Refutation 36.98/7.23 36.98/7.23 % (21601)Memory used [KB]: 15863 36.98/7.23 % (21601)Time elapsed: 0.653 s 36.98/7.23 % (21601)------------------------------ 36.98/7.23 % (21601)------------------------------ 36.98/7.23 % (21334)Success in time 6.882 s 36.98/7.23 EOF