0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n025.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1200 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Jul 13 16:19:27 EDT 2021 0.09/0.30 % CPUTime : 0.09/0.31 This is a THF_ problem 0.09/0.31 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.31 Running in auto input_syntax mode. Trying TPTP 0.15/0.36 % (8413)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:thsq=on_2 on theBenchmark 0.15/0.36 % (8420)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:thsq=on_3 on theBenchmark 0.15/0.37 % (8447)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:thsq=on_50 on theBenchmark 0.15/0.37 % (8432)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:thsq=on_2 on theBenchmark 0.15/0.37 % (8430)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:thsq=on_40 on theBenchmark 0.15/0.37 % (8417)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:thsq=on_14 on theBenchmark 0.15/0.37 % (8431)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:thsq=on_2 on theBenchmark 0.15/0.38 % (8412)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:thsq=on_2 on theBenchmark 0.15/0.38 % (8448)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:thsq=on_130 on theBenchmark 0.15/0.38 % (8436)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity:thsq=on_7 on theBenchmark 0.15/0.38 % (8415)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:thsq=on_2 on theBenchmark 0.15/0.39 % (8416)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:thsq=on_13 on theBenchmark 0.15/0.39 % (8414)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark 0.15/0.39 % (8453)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:thsq=on_50 on theBenchmark 0.15/0.39 % (8439)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence:thsq=on_300 on theBenchmark 0.15/0.39 % (8425)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=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark 0.15/0.40 % (8422)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:thsq=on_32 on theBenchmark 0.15/0.40 % (8434)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:thsq=on_1 on theBenchmark 0.15/0.40 % (8424)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 0.15/0.40 % (8452)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 0.15/0.41 % (8450)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:thsq=on_300 on theBenchmark 0.15/0.41 % (8451)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:thsq=on_186 on theBenchmark 0.15/0.41 % (8446)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark 0.15/0.41 % (8444)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:thsq=on_41 on theBenchmark 0.15/0.41 % (8442)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:thsq=on_6 on theBenchmark 0.15/0.41 % (8433)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:thsq=on_9 on theBenchmark 0.15/0.41 % (8445)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:thsq=on_30 on theBenchmark 0.15/0.41 % (8441)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:thsq=on_30 on theBenchmark 0.15/0.42 % (8443)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=input_only:irw=on:nm=16:nwc=1:sos=all:thsq=on_8 on theBenchmark 0.15/0.42 % (8449)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:thsq=on_13 on theBenchmark 0.15/0.44 % (8441)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.15/0.48 % (8449)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.97/0.75 % (8420)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.97/0.75 % (8453)Refutation not found, incomplete strategy% (8453)------------------------------ 2.97/0.75 % (8453)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.97/0.75 % (8453)Termination reason: Refutation not found, incomplete strategy 2.97/0.75 2.97/0.75 % (8453)Memory used [KB]: 12537 2.97/0.75 % (8453)Time elapsed: 0.408 s 2.97/0.75 % (8453)------------------------------ 2.97/0.75 % (8453)------------------------------ 3.47/0.78 % (8425)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 3.47/0.85 % (8454)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence:thsq=on_75 on theBenchmark 4.09/0.86 % (8414)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.09/0.87 % (8416)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 4.09/0.87 % (8447)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 4.09/0.87 % (8414)Refutation not found, incomplete strategy% (8414)------------------------------ 4.09/0.87 % (8414)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 4.09/0.87 % (8414)Termination reason: Refutation not found, incomplete strategy 4.09/0.87 4.09/0.87 % (8414)Memory used [KB]: 11641 4.09/0.87 % (8414)Time elapsed: 0.527 s 4.09/0.87 % (8414)------------------------------ 4.09/0.87 % (8414)------------------------------ 4.09/0.87 % (8447)Refutation not found, incomplete strategy% (8447)------------------------------ 4.09/0.87 % (8447)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 4.09/0.87 % (8447)Termination reason: Refutation not found, incomplete strategy 4.09/0.87 4.09/0.87 % (8447)Memory used [KB]: 11641 4.09/0.87 % (8447)Time elapsed: 0.530 s 4.09/0.87 % (8447)------------------------------ 4.09/0.87 % (8447)------------------------------ 4.09/0.88 % (8434)Time limit reached! 4.09/0.88 % (8434)------------------------------ 4.09/0.88 % (8434)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 4.09/0.88 % (8450)Refutation not found, incomplete strategy% (8450)------------------------------ 4.09/0.88 % (8450)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 4.25/0.88 % (8450)Termination reason: Refutation not found, incomplete strategy 4.25/0.88 4.25/0.88 % (8450)Memory used [KB]: 11641 4.25/0.88 % (8450)Time elapsed: 0.539 s 4.25/0.88 % (8450)------------------------------ 4.25/0.88 % (8450)------------------------------ 4.25/0.88 % (8439)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 4.25/0.88 % (8434)Termination reason: Time limit 4.25/0.88 4.25/0.88 % (8434)Memory used [KB]: 7164 4.25/0.88 % (8434)Time elapsed: 0.532 s 4.25/0.88 % (8434)------------------------------ 4.25/0.88 % (8434)------------------------------ 4.25/0.91 % (8433)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 4.25/0.92 % (8456)lrs+1011_8_add=large:csup=on:inj=on:prag=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_26 on theBenchmark 4.52/0.94 % (8457)lrs+1011_8_add=large:csup=on:fe=off:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_30 on theBenchmark 4.64/0.94 % (8458)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:thsq=on_27 on theBenchmark 4.64/0.94 % (8455)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 4.64/0.97 % (8422)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 5.15/1.06 % (8430)Refutation not found, incomplete strategy% (8430)------------------------------ 5.15/1.06 % (8430)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.15/1.07 % (8430)Termination reason: Refutation not found, incomplete strategy 5.15/1.07 5.15/1.07 % (8430)Memory used [KB]: 12281 5.15/1.07 % (8430)Time elapsed: 0.710 s 5.15/1.07 % (8430)------------------------------ 5.15/1.07 % (8430)------------------------------ 5.52/1.07 % (8448)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 5.52/1.13 % (8459)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:updr=off:uhcvi=on:thsq=on_125 on theBenchmark 5.52/1.13 % (8448)Refutation not found, incomplete strategy% (8448)------------------------------ 5.52/1.13 % (8448)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.52/1.13 % (8448)Termination reason: Refutation not found, incomplete strategy 5.52/1.13 5.52/1.13 % (8448)Memory used [KB]: 7164 5.52/1.13 % (8448)Time elapsed: 0.757 s 5.52/1.13 % (8448)------------------------------ 5.52/1.13 % (8448)------------------------------ 5.52/1.18 % (8446)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.49/1.20 % (8413)Time limit reached! 6.49/1.20 % (8413)------------------------------ 6.49/1.20 % (8413)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.49/1.20 % (8413)Termination reason: Time limit 6.49/1.20 6.49/1.20 % (8413)Memory used [KB]: 11641 6.49/1.20 % (8413)Time elapsed: 0.860 s 6.49/1.20 % (8413)------------------------------ 6.49/1.20 % (8413)------------------------------ 6.49/1.20 % (8415)Time limit reached! 6.49/1.20 % (8415)------------------------------ 6.49/1.20 % (8415)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.49/1.20 % (8415)Termination reason: Time limit 6.49/1.20 6.49/1.20 % (8415)Memory used [KB]: 11897 6.49/1.20 % (8415)Time elapsed: 0.858 s 6.49/1.20 % (8415)------------------------------ 6.49/1.20 % (8415)------------------------------ 6.49/1.20 % (8460)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off:thsq=on_77 on theBenchmark 6.91/1.22 % (8425)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.91/1.23 % (8431)Time limit reached! 6.91/1.23 % (8431)------------------------------ 6.91/1.23 % (8431)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.91/1.23 % (8431)Termination reason: Time limit 6.91/1.23 6.91/1.23 % (8431)Memory used [KB]: 11641 6.91/1.23 % (8431)Time elapsed: 0.888 s 6.91/1.23 % (8431)------------------------------ 6.91/1.23 % (8431)------------------------------ 6.91/1.25 % (8425)Time limit reached! 6.91/1.25 % (8425)------------------------------ 6.91/1.25 % (8425)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.91/1.25 % (8425)Termination reason: Time limit 6.91/1.25 6.91/1.25 % (8425)Memory used [KB]: 11769 6.91/1.25 % (8425)Time elapsed: 0.908 s 6.91/1.25 % (8425)------------------------------ 6.91/1.25 % (8425)------------------------------ 6.91/1.25 % (8420)Time limit reached! 6.91/1.25 % (8420)------------------------------ 6.91/1.25 % (8420)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.91/1.25 % (8420)Termination reason: Time limit 6.91/1.25 6.91/1.25 % (8420)Memory used [KB]: 13688 6.91/1.25 % (8420)Time elapsed: 0.909 s 6.91/1.25 % (8420)------------------------------ 6.91/1.25 % (8420)------------------------------ 7.24/1.28 % (8461)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off:thsq=on_126 on theBenchmark 7.24/1.29 % (8462)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_50 on theBenchmark 7.24/1.29 % (8464)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on:thsq=on_11 on theBenchmark 7.24/1.30 % (8432)Time limit reached! 7.24/1.30 % (8432)------------------------------ 7.24/1.30 % (8432)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 7.24/1.30 % (8432)Termination reason: Time limit 7.24/1.30 7.24/1.30 % (8432)Memory used [KB]: 7164 7.24/1.30 % (8432)Time elapsed: 0.958 s 7.24/1.30 % (8432)------------------------------ 7.24/1.30 % (8432)------------------------------ 7.24/1.30 % (8442)First to succeed. 7.24/1.30 % (8412)Time limit reached! 7.24/1.30 % (8412)------------------------------ 7.24/1.30 % (8412)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 7.24/1.30 % (8412)Termination reason: Time limit 7.24/1.30 7.24/1.30 % (8412)Memory used [KB]: 2686 7.24/1.30 % (8412)Time elapsed: 0.959 s 7.24/1.30 % (8412)------------------------------ 7.24/1.30 % (8412)------------------------------ 7.24/1.30 % (8442)Refutation found. Thanks to Tanya! 7.24/1.30 % SZS status Theorem for theBenchmark 7.24/1.30 % SZS output start Proof for theBenchmark 7.24/1.30 thf(type_def_6, type, term: $tType). 7.24/1.30 thf(type_def_7, type, subst: $tType). 7.24/1.30 thf(func_def_8, type, one: term). 7.24/1.30 thf(type_def_9, type, >: ($tType * $tType) > $tType). 7.24/1.30 thf(func_def_10, type, ap: term > term > term). 7.24/1.30 thf(func_def_11, type, lam: term > term). 7.24/1.30 thf(func_def_12, type, sub: term > subst > term). 7.24/1.30 thf(func_def_13, type, id: subst). 7.24/1.30 thf(func_def_14, type, sh: subst). 7.24/1.30 thf(func_def_15, type, push: term > subst > subst). 7.24/1.30 thf(func_def_16, type, comp: subst > subst > subst). 7.24/1.30 thf(func_def_17, type, var: term > $o). 7.24/1.30 thf(func_def_25, type, hoasap: subst > term > subst > term > term). 7.24/1.30 thf(func_def_80, type, hoaslam: subst > (subst > term > term) > term). 7.24/1.30 thf(func_def_93, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o). 7.24/1.30 thf(func_def_114, type, hoasvar: subst > term > subst > $o). 7.24/1.30 thf(func_def_128, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o). 7.24/1.30 thf(func_def_132, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 7.24/1.30 thf(func_def_135, type, vIMP: $o > $o > $o). 7.24/1.30 thf(func_def_136, type, vAND: $o > $o > $o). 7.24/1.30 thf(func_def_137, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 7.24/1.30 thf(func_def_138, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 7.24/1.30 thf(func_def_139, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 7.24/1.30 thf(func_def_140, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 7.24/1.30 thf(func_def_141, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 7.24/1.30 thf(func_def_142, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 7.24/1.30 thf(func_def_143, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 7.24/1.30 thf(func_def_144, type, vIFF: $o > $o > $o). 7.24/1.30 thf(func_def_145, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 7.24/1.30 thf(func_def_146, type, vNOT: $o > $o). 7.24/1.30 thf(func_def_148, type, vOR: $o > $o > $o). 7.24/1.30 thf(func_def_149, type, sK1: subst > term > subst > $o). 7.24/1.30 thf(func_def_150, type, sK2: (term > $o) > term). 7.24/1.30 thf(func_def_154, type, sK3: $o > term). 7.24/1.30 thf(func_def_155, type, sK4: $o > $o > term). 7.24/1.30 thf(f737,plain,( 7.24/1.30 $false), 7.24/1.30 inference(avatar_sat_refutation,[],[f530,f547,f689,f724,f736])). 7.24/1.30 thf(f736,plain,( 7.24/1.30 ~spl0_1 | ~spl0_15), 7.24/1.30 inference(avatar_contradiction_clause,[],[f735])). 7.24/1.30 thf(f735,plain,( 7.24/1.30 $false | (~spl0_1 | ~spl0_15)), 7.24/1.30 inference(trivial_inequality_removal,[],[f734])). 7.24/1.30 thf(f734,plain,( 7.24/1.30 ($true = $false) | (~spl0_1 | ~spl0_15)), 7.24/1.30 inference(forward_demodulation,[],[f732,f723])). 7.24/1.30 thf(f723,plain,( 7.24/1.30 ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))) @ id)) | ~spl0_15), 7.24/1.30 inference(avatar_component_clause,[],[f721])). 7.24/1.30 thf(f721,plain,( 7.24/1.30 spl0_15 <=> ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))) @ id))), 7.24/1.30 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 7.24/1.30 thf(f732,plain,( 7.24/1.30 ($true = (((sK1 @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))) @ id)) | (~spl0_1 | ~spl0_15)), 7.24/1.30 inference(not_proxy_clausification,[],[f731])). 7.24/1.30 thf(f731,plain,( 7.24/1.30 ($false = (vNOT @ (((sK1 @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))) @ id))) | (~spl0_1 | ~spl0_15)), 7.24/1.30 inference(combinator_demodulation,[],[f730])). 7.24/1.30 thf(f730,plain,( 7.24/1.30 ($false = (vNOT @ (((cCOMB @ (sK1 @ id)) @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))))) | (~spl0_1 | ~spl0_15)), 7.24/1.30 inference(boolean_simplification,[],[f726])). 7.24/1.30 thf(f726,plain,( 7.24/1.30 ($false = ((vIFF @ (((cCOMB @ (sK1 @ id)) @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id)))) @ $false)) | (~spl0_1 | ~spl0_15)), 7.24/1.30 inference(superposition,[],[f529,f723])). 7.24/1.30 thf(f529,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = ((vIFF @ (X1 @ (sK2 @ X1))) @ (((sK1 @ id) @ (sK2 @ X1)) @ id)))) ) | ~spl0_1), 7.24/1.30 inference(avatar_component_clause,[],[f528])). 7.24/1.30 thf(f528,plain,( 7.24/1.30 spl0_1 <=> ! [X1 : term > $o] : ($false = ((vIFF @ (X1 @ (sK2 @ X1))) @ (((sK1 @ id) @ (sK2 @ X1)) @ id)))), 7.24/1.30 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 7.24/1.30 thf(f724,plain,( 7.24/1.30 spl0_15 | ~spl0_13), 7.24/1.30 inference(avatar_split_clause,[],[f705,f687,f721])). 7.24/1.30 thf(f687,plain,( 7.24/1.30 spl0_13 <=> ! [X3 : $tType,X5 : X3,X4 : term > X3 > $o] : (($false = ((X4 @ (sK2 @ ((cCOMB @ X4) @ X5))) @ X5)) | ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ X4) @ X5))) @ id)))), 7.24/1.30 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 7.24/1.30 thf(f705,plain,( 7.24/1.30 ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))) @ id)) | ~spl0_13), 7.24/1.30 inference(trivial_inequality_removal,[],[f702])). 7.24/1.30 thf(f702,plain,( 7.24/1.30 ($false != $false) | ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ (sK1 @ id)) @ id))) @ id)) | ~spl0_13), 7.24/1.30 inference(equality_factoring,[],[f688])). 7.24/1.30 thf(f688,plain,( 7.24/1.30 ( ! [X3 : $tType,X4 : term > X3 > $o,X5 : X3] : (($false = ((X4 @ (sK2 @ ((cCOMB @ X4) @ X5))) @ X5)) | ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ X4) @ X5))) @ id))) ) | ~spl0_13), 7.24/1.30 inference(avatar_component_clause,[],[f687])). 7.24/1.30 thf(f689,plain,( 7.24/1.30 spl0_13 | ~spl0_3), 7.24/1.30 inference(avatar_split_clause,[],[f552,f545,f687])). 7.24/1.30 thf(f545,plain,( 7.24/1.30 spl0_3 <=> ! [X1 : term > $o] : (($false = (((sK1 @ id) @ (sK2 @ X1)) @ id)) | ($false = (X1 @ (sK2 @ X1))))), 7.24/1.30 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 7.24/1.30 thf(f552,plain,( 7.24/1.30 ( ! [X3 : $tType,X4 : term > X3 > $o,X5 : X3] : (($false = ((X4 @ (sK2 @ ((cCOMB @ X4) @ X5))) @ X5)) | ($false = (((sK1 @ id) @ (sK2 @ ((cCOMB @ X4) @ X5))) @ id))) ) | ~spl0_3), 7.24/1.30 inference(cxx_narrow,[],[f546])). 7.24/1.30 thf(f546,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = (((sK1 @ id) @ (sK2 @ X1)) @ id)) | ($false = (X1 @ (sK2 @ X1)))) ) | ~spl0_3), 7.24/1.30 inference(avatar_component_clause,[],[f545])). 7.24/1.30 thf(f547,plain,( 7.24/1.30 spl0_3 | ~spl0_1), 7.24/1.30 inference(avatar_split_clause,[],[f543,f528,f545])). 7.24/1.30 thf(f543,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = (((sK1 @ id) @ (sK2 @ X1)) @ id)) | ($false = (X1 @ (sK2 @ X1)))) ) | ~spl0_1), 7.24/1.30 inference(boolean_simplification,[],[f536])). 7.24/1.30 thf(f536,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = ((vIFF @ $true) @ (((sK1 @ id) @ (sK2 @ X1)) @ id))) | ($false = (X1 @ (sK2 @ X1)))) ) | ~spl0_1), 7.24/1.30 inference(fool_paramodulation,[],[f529])). 7.24/1.30 thf(f530,plain,( 7.24/1.30 spl0_1), 7.24/1.30 inference(avatar_split_clause,[],[f526,f528])). 7.24/1.30 thf(f526,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = ((vIFF @ (X1 @ (sK2 @ X1))) @ (((sK1 @ id) @ (sK2 @ X1)) @ id)))) )), 7.24/1.30 inference(combinator_demodulation,[],[f525])). 7.24/1.30 thf(f525,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = (((sCOMB @ ((bCOMB @ vIFF) @ X1)) @ ((cCOMB @ (sK1 @ id)) @ id)) @ (sK2 @ X1)))) )), 7.24/1.30 inference(sigma_clausification,[],[f524])). 7.24/1.30 thf(f524,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = (vPI(term) @ ((sCOMB @ ((bCOMB @ vIFF) @ X1)) @ ((cCOMB @ (sK1 @ id)) @ id))))) )), 7.24/1.30 inference(combinator_demodulation,[],[f523])). 7.24/1.30 thf(f523,plain,( 7.24/1.30 ( ! [X1 : term > $o] : (($false = (((bCOMB @ vPI(term)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF))) @ ((cCOMB @ (sK1 @ id)) @ id))) @ X1))) )), 7.24/1.30 inference(pi_clausification,[],[f522])). 7.24/1.30 thf(f522,plain,( 7.24/1.30 ($false = (vSIGMA(term > $o) @ ((bCOMB @ vPI(term)) @ ((cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF))) @ ((cCOMB @ (sK1 @ id)) @ id)))))), 7.24/1.30 inference(combinator_demodulation,[],[f521])). 7.24/1.30 thf(f521,plain,( 7.24/1.30 ($false = (((bCOMB @ vSIGMA(term > $o)) @ ((bCOMB @ (bCOMB @ vPI(term))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((cCOMB @ iCOMB) @ id))) @ id)))) @ sK1))), 7.24/1.30 inference(sigma_clausification,[],[f520])). 7.24/1.30 thf(f520,plain,( 7.24/1.30 ($true != (vPI(subst > term > subst > $o) @ ((bCOMB @ vSIGMA(term > $o)) @ ((bCOMB @ (bCOMB @ vPI(term))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((cCOMB @ iCOMB) @ id))) @ id))))))), 7.24/1.30 inference(definition_unfolding,[],[f329,f506])). 7.24/1.30 thf(f506,plain,( 7.24/1.30 (hoasinduction_lem0_lthm = (vPI(subst > term > subst > $o) @ ((bCOMB @ vSIGMA(term > $o)) @ ((bCOMB @ (bCOMB @ vPI(term))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((cCOMB @ iCOMB) @ id))) @ id))))))), 7.24/1.30 inference(definition_unfolding,[],[f334,f466])). 7.24/1.30 thf(f466,plain,( 7.24/1.30 (hoasinduction_lem0 = (vPI(subst > term > subst > $o) @ ((bCOMB @ vSIGMA(term > $o)) @ ((bCOMB @ (bCOMB @ vPI(term))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((cCOMB @ iCOMB) @ id))) @ id))))))), 7.24/1.30 inference(definition_unfolding,[],[f399,f404])). 7.24/1.30 thf(f404,plain,( 7.24/1.30 (hoasinduction_p_and_p_prime = ((bCOMB @ (bCOMB @ vPI(term))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((cCOMB @ iCOMB) @ id))) @ id))))), 7.24/1.30 inference(cnf_transformation,[],[f256])). 7.24/1.30 thf(f256,plain,( 7.24/1.30 (hoasinduction_p_and_p_prime = ((bCOMB @ (bCOMB @ vPI(term))) @ ((bCOMB @ (cCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIFF)))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((cCOMB @ iCOMB) @ id))) @ id))))), 7.24/1.30 inference(fool_elimination,[],[f255])). 7.24/1.30 thf(f255,plain,( 7.24/1.30 (hoasinduction_p_and_p_prime = (^[X0 : subst > term > subst > $o, X1 : term > $o] : (! [X2 : term] : ((X1 @ X2) <=> (((X0 @ id) @ X2) @ id)))))), 7.24/1.30 inference(rectify,[],[f76])). 7.24/1.30 thf(f76,axiom,( 7.24/1.30 (hoasinduction_p_and_p_prime = (^[X5 : subst > term > subst > $o, X8 : term > $o] : (! [X9 : term] : ((X8 @ X9) <=> (((X5 @ id) @ X9) @ id)))))), 7.24/1.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasinduction_p_and_p_prime)). 7.24/1.30 thf(f399,plain,( 7.24/1.30 (hoasinduction_lem0 = (vPI(subst > term > subst > $o) @ ((bCOMB @ vSIGMA(term > $o)) @ hoasinduction_p_and_p_prime)))), 7.24/1.30 inference(cnf_transformation,[],[f246])). 7.24/1.30 thf(f246,plain,( 7.24/1.30 (hoasinduction_lem0 = (vPI(subst > term > subst > $o) @ ((bCOMB @ vSIGMA(term > $o)) @ hoasinduction_p_and_p_prime)))), 7.24/1.30 inference(fool_elimination,[],[f245])). 7.24/1.30 thf(f245,plain,( 7.24/1.30 (hoasinduction_lem0 = ! [X0 : subst > term > subst > $o] : ? [X1 : term > $o] : ((hoasinduction_p_and_p_prime @ X0) @ X1))), 7.24/1.30 inference(rectify,[],[f77])). 7.24/1.30 thf(f77,axiom,( 7.24/1.30 (hoasinduction_lem0 = ! [X5 : subst > term > subst > $o] : ? [X8 : term > $o] : ((hoasinduction_p_and_p_prime @ X5) @ X8))), 7.24/1.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasinduction_lem0)). 7.24/1.30 thf(f334,plain,( 7.24/1.30 (hoasinduction_lem0 = hoasinduction_lem0_lthm)), 7.24/1.30 inference(cnf_transformation,[],[f78])). 7.24/1.30 thf(f78,axiom,( 7.24/1.30 (hoasinduction_lem0 = hoasinduction_lem0_lthm)), 7.24/1.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasinduction_lem0_lthm)). 7.24/1.30 thf(f329,plain,( 7.24/1.30 (hoasinduction_lem0_lthm != $true)), 7.24/1.30 inference(cnf_transformation,[],[f328])). 7.24/1.30 thf(f328,plain,( 7.24/1.30 (hoasinduction_lem0_lthm != $true)), 7.24/1.30 inference(flattening,[],[f118])). 7.24/1.30 thf(f118,plain,( 7.24/1.30 ~(hoasinduction_lem0_lthm = $true)), 7.24/1.30 inference(fool_elimination,[],[f117])). 7.24/1.30 thf(f117,plain,( 7.24/1.30 ~hoasinduction_lem0_lthm), 7.24/1.30 inference(rectify,[],[f115])). 7.24/1.30 thf(f115,negated_conjecture,( 7.24/1.30 ~hoasinduction_lem0_lthm), 7.24/1.30 inference(negated_conjecture,[],[f114])). 7.24/1.30 thf(f114,conjecture,( 7.24/1.30 hoasinduction_lem0_lthm), 7.24/1.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 7.24/1.30 % SZS output end Proof for theBenchmark 7.24/1.30 % (8442)------------------------------ 7.24/1.30 % (8442)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 7.24/1.30 % (8442)Termination reason: Refutation 7.24/1.30 7.24/1.30 % (8442)Memory used [KB]: 7419 7.24/1.30 % (8442)Time elapsed: 0.961 s 7.24/1.30 % (8442)------------------------------ 7.24/1.30 % (8442)------------------------------ 7.24/1.30 % (8411)Success in time 0.978 s 7.24/1.30 EOF