0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d 0.11/0.33 % Computer : n015.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1200 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Jul 13 12:37:34 EDT 2021 0.11/0.33 % CPUTime : 0.11/0.33 This is a THF_ problem 0.11/0.33 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.33 Running in auto input_syntax mode. Trying TPTP 0.18/0.38 % (29676)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 0.18/0.39 % (29675)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 0.18/0.39 % (29672)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 0.18/0.40 % (29693)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 0.18/0.40 % (29685)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 0.18/0.40 % (29673)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 0.18/0.40 % (29674)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 0.18/0.40 % (29671)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 0.18/0.40 % (29692)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 0.18/0.41 % (29670)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 0.18/0.41 % (29684)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 0.18/0.41 % (29677)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 0.18/0.42 % (29698)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 0.18/0.42 % (29689)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 0.18/0.42 % (29678)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 0.18/0.42 % (29687)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 0.18/0.42 % (29690)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 0.18/0.42 % (29694)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 0.18/0.42 % (29699)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 0.18/0.42 % (29696)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 0.18/0.42 % (29697)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 0.18/0.42 % (29695)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 0.18/0.42 % (29688)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 0.18/0.43 % (29686)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 0.18/0.43 % (29683)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 0.18/0.43 % (29680)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 0.18/0.44 % (29691)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 0.18/0.44 % (29681)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 0.18/0.44 % (29679)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 0.18/0.44 % (29682)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 0.18/0.46 % (29676)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.48 % (29674)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.49 % (29677)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.51 % (29687)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.51 % (29695)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.51 % (29693)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.52 % (29686)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.52 % (29683)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.52 % (29679)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.53 % (29692)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.18/0.56 % (29685)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.18/0.56 % (29672)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.18/0.56 % (29694)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.18/0.61 % (29678)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.18/0.61 % (29689)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.18/0.62 % (29686)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.18/0.64 % (29679)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.86/0.77 % (29673)Refutation not found, incomplete strategy% (29673)------------------------------ 2.86/0.77 % (29673)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.86/0.77 % (29673)Termination reason: Refutation not found, incomplete strategy 2.86/0.77 2.86/0.77 % (29673)Memory used [KB]: 13048 2.86/0.77 % (29673)Time elapsed: 0.408 s 2.86/0.77 % (29673)------------------------------ 2.86/0.77 % (29673)------------------------------ 3.70/0.86 % (29700)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 3.70/0.90 % (29684)Time limit reached! 3.70/0.90 % (29684)------------------------------ 3.70/0.90 % (29684)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 4.32/0.91 % (29684)Termination reason: Time limit 4.32/0.91 4.32/0.91 % (29684)Memory used [KB]: 8571 4.32/0.91 % (29684)Time elapsed: 0.531 s 4.32/0.91 % (29684)------------------------------ 4.32/0.91 % (29684)------------------------------ 4.32/0.97 % (29701)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 6.54/1.26 % (29672)Time limit reached! 6.54/1.26 % (29672)------------------------------ 6.54/1.26 % (29672)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.54/1.27 % (29672)Termination reason: Time limit 6.54/1.27 % (29672)Termination phase: Saturation 6.54/1.27 6.54/1.27 % (29672)Memory used [KB]: 12920 6.54/1.27 % (29672)Time elapsed: 0.900 s 6.54/1.27 % (29672)------------------------------ 6.54/1.27 % (29672)------------------------------ 6.54/1.30 % (29676)Time limit reached! 6.54/1.30 % (29676)------------------------------ 6.54/1.30 % (29676)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.54/1.32 % (29676)Termination reason: Time limit 6.54/1.32 6.54/1.32 % (29676)Memory used [KB]: 16247 6.54/1.32 % (29676)Time elapsed: 0.940 s 6.54/1.32 % (29676)------------------------------ 6.54/1.32 % (29676)------------------------------ 6.54/1.36 % (29702)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 6.54/1.40 % (29703)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 8.18/1.49 % (29702)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 9.21/1.54 % (29703)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 9.21/1.59 % (29682)Time limit reached! 9.21/1.59 % (29682)------------------------------ 9.21/1.59 % (29682)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 9.21/1.59 % (29682)Termination reason: Time limit 9.21/1.59 9.21/1.59 % (29682)Memory used [KB]: 7675 9.21/1.59 % (29682)Time elapsed: 1.217 s 9.21/1.59 % (29682)------------------------------ 9.21/1.59 % (29682)------------------------------ 9.88/1.67 % (29704)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 9.88/1.68 % (29679)Time limit reached! 9.88/1.68 % (29679)------------------------------ 9.88/1.68 % (29679)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 9.88/1.68 % (29679)Termination reason: Time limit 9.88/1.68 9.88/1.68 % (29679)Memory used [KB]: 13944 9.88/1.68 % (29679)Time elapsed: 1.308 s 9.88/1.68 % (29679)------------------------------ 9.88/1.68 % (29679)------------------------------ 10.35/1.76 % (29705)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 10.99/1.80 % (29681)Time limit reached! 10.99/1.80 % (29681)------------------------------ 10.99/1.80 % (29681)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 10.99/1.80 % (29681)Termination reason: Time limit 10.99/1.80 10.99/1.80 % (29681)Memory used [KB]: 15095 10.99/1.80 % (29681)Time elapsed: 1.409 s 10.99/1.80 % (29681)------------------------------ 10.99/1.80 % (29681)------------------------------ 11.46/1.86 % (29706)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 11.46/1.87 % (29688)Time limit reached! 11.46/1.87 % (29688)------------------------------ 11.46/1.87 % (29688)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 11.46/1.87 % (29688)Termination reason: Time limit 11.46/1.87 % (29688)Termination phase: Saturation 11.46/1.87 11.46/1.87 % (29688)Memory used [KB]: 13048 11.46/1.87 % (29688)Time elapsed: 1.500 s 11.46/1.87 % (29688)------------------------------ 11.46/1.87 % (29688)------------------------------ 11.46/1.89 % (29671)Time limit reached! 11.46/1.89 % (29671)------------------------------ 11.46/1.89 % (29671)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 11.46/1.89 % (29671)Termination reason: Time limit 11.46/1.89 11.46/1.89 % (29671)Memory used [KB]: 17142 11.46/1.89 % (29671)Time elapsed: 1.500 s 11.46/1.89 % (29671)------------------------------ 11.46/1.89 % (29671)------------------------------ 12.03/1.93 % (29707)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 12.03/1.97 % (29708)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 12.47/2.00 % (29670)Time limit reached! 12.47/2.00 % (29670)------------------------------ 12.47/2.00 % (29670)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 12.47/2.00 % (29670)Termination reason: Time limit 12.47/2.00 12.47/2.00 % (29670)Memory used [KB]: 7931 12.47/2.00 % (29670)Time elapsed: 1.610 s 12.47/2.00 % (29670)------------------------------ 12.47/2.00 % (29670)------------------------------ 12.47/2.02 % (29707)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 12.47/2.08 % (29709)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 12.47/2.09 % (29701)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 12.47/2.11 % (29708)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 14.96/2.28 % (29685)Time limit reached! 14.96/2.28 % (29685)------------------------------ 14.96/2.28 % (29685)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 14.96/2.29 % (29685)Termination reason: Time limit 14.96/2.29 14.96/2.29 % (29685)Memory used [KB]: 20212 14.96/2.29 % (29685)Time elapsed: 1.878 s 14.96/2.29 % (29685)------------------------------ 14.96/2.29 % (29685)------------------------------ 15.55/2.37 % (29710)ott+11_2:1_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off:thsq=on_9 on theBenchmark 15.86/2.38 % (29692)Time limit reached! 15.86/2.38 % (29692)------------------------------ 15.86/2.38 % (29692)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 15.86/2.38 % (29692)Termination reason: Time limit 15.86/2.38 % (29692)Termination phase: Saturation 15.86/2.38 15.86/2.38 % (29692)Memory used [KB]: 7675 15.86/2.38 % (29692)Time elapsed: 2.0000 s 15.86/2.38 % (29692)------------------------------ 15.86/2.38 % (29692)------------------------------ 16.34/2.45 % (29689)Time limit reached! 16.34/2.45 % (29689)------------------------------ 16.34/2.45 % (29689)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 16.34/2.46 % (29711)lrs+1011_8_add=large:csup=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_13 on theBenchmark 16.56/2.47 % (29689)Termination reason: Time limit 16.56/2.47 16.56/2.47 % (29689)Memory used [KB]: 13688 16.56/2.47 % (29689)Time elapsed: 2.081 s 16.56/2.47 % (29689)------------------------------ 16.56/2.47 % (29689)------------------------------ 16.98/2.54 % (29712)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence:thsq=on_300 on theBenchmark 17.27/2.58 % (29683)Time limit reached! 17.27/2.58 % (29683)------------------------------ 17.27/2.58 % (29683)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 17.27/2.60 % (29683)Termination reason: Time limit 17.27/2.60 17.27/2.60 % (29683)Memory used [KB]: 15095 17.27/2.60 % (29683)Time elapsed: 2.221 s 17.27/2.60 % (29683)------------------------------ 17.27/2.60 % (29683)------------------------------ 17.27/2.62 % (29711)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 18.07/2.68 % (29713)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 18.07/2.69 % (29712)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 23.81/3.46 % (29695)Time limit reached! 23.81/3.46 % (29695)------------------------------ 23.81/3.46 % (29695)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 23.81/3.46 % (29695)Termination reason: Time limit 23.81/3.46 % (29695)Termination phase: Saturation 23.81/3.46 23.81/3.46 % (29695)Memory used [KB]: 17526 23.81/3.46 % (29695)Time elapsed: 3.100 s 23.81/3.46 % (29695)------------------------------ 23.81/3.46 % (29695)------------------------------ 23.81/3.48 % (29674)Time limit reached! 23.81/3.48 % (29674)------------------------------ 23.81/3.48 % (29674)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 23.81/3.49 % (29674)Termination reason: Time limit 23.81/3.49 23.81/3.49 % (29674)Memory used [KB]: 15607 23.81/3.49 % (29674)Time elapsed: 3.111 s 23.81/3.49 % (29674)------------------------------ 23.81/3.49 % (29674)------------------------------ 23.81/3.54 % (29714)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off:thsq=on_73 on theBenchmark 23.81/3.54 % (29715)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:cases=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on:thsq=on_12 on theBenchmark 26.15/3.73 % (29675)Time limit reached! 26.15/3.73 % (29675)------------------------------ 26.15/3.73 % (29675)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 26.15/3.73 % (29675)Termination reason: Time limit 26.15/3.73 % (29675)Termination phase: Saturation 26.15/3.73 26.15/3.73 % (29675)Memory used [KB]: 25202 26.15/3.73 % (29675)Time elapsed: 3.300 s 26.15/3.73 % (29675)------------------------------ 26.15/3.73 % (29675)------------------------------ 26.88/3.80 % (29716)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on:thsq=on_481 on theBenchmark 27.74/3.97 % (29713)Time limit reached! 27.74/3.97 % (29713)------------------------------ 27.74/3.97 % (29713)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 27.74/3.99 % (29713)Termination reason: Time limit 27.74/3.99 27.74/3.99 % (29713)Memory used [KB]: 6908 27.74/3.99 % (29713)Time elapsed: 1.350 s 27.74/3.99 % (29713)------------------------------ 27.74/3.99 % (29713)------------------------------ 28.29/4.00 % (29716)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 28.29/4.04 % (29717)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence:thsq=on_300 on theBenchmark 32.77/4.53 % (29710)Time limit reached! 32.77/4.53 % (29710)------------------------------ 32.77/4.53 % (29710)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 32.77/4.55 % (29710)Termination reason: Time limit 32.77/4.55 % (29710)Termination phase: Saturation 32.77/4.55 32.77/4.55 % (29710)Memory used [KB]: 13176 32.77/4.55 % (29710)Time elapsed: 2.200 s 32.77/4.55 % (29710)------------------------------ 32.77/4.55 % (29710)------------------------------ 33.29/4.63 % (29718)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_70 on theBenchmark 34.14/4.71 % (29709)Time limit reached! 34.14/4.71 % (29709)------------------------------ 34.14/4.71 % (29709)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 34.14/4.72 % (29709)Termination reason: Time limit 34.14/4.72 34.14/4.72 % (29709)Memory used [KB]: 16119 34.14/4.72 % (29709)Time elapsed: 2.715 s 34.14/4.72 % (29709)------------------------------ 34.14/4.72 % (29709)------------------------------ 34.14/4.80 % (29719)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:cases=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_45 on theBenchmark 40.31/5.50 % (29711)Time limit reached! 40.31/5.50 % (29711)------------------------------ 40.31/5.50 % (29711)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 40.31/5.50 % (29711)Termination reason: Time limit 40.31/5.50 % (29711)Termination phase: Saturation 40.31/5.50 40.31/5.50 % (29711)Memory used [KB]: 19061 40.31/5.50 % (29711)Time elapsed: 3.100 s 40.31/5.50 % (29711)------------------------------ 40.31/5.50 % (29711)------------------------------ 40.31/5.58 % (29720)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_19 on theBenchmark 48.51/6.46 % (29715)Time limit reached! 48.51/6.46 % (29715)------------------------------ 48.51/6.46 % (29715)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 48.51/6.46 % (29715)Termination reason: Time limit 48.51/6.46 48.51/6.46 % (29715)Memory used [KB]: 20340 48.51/6.46 % (29715)Time elapsed: 2.934 s 48.51/6.46 % (29715)------------------------------ 48.51/6.46 % (29715)------------------------------ 48.95/6.54 % (29721)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 51.30/6.92 % (29720)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 54.53/7.23 % (29678)Time limit reached! 54.53/7.23 % (29678)------------------------------ 54.53/7.23 % (29678)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 54.53/7.23 % (29678)Termination reason: Time limit 54.53/7.23 54.53/7.23 % (29678)Memory used [KB]: 24946 54.53/7.23 % (29678)Time elapsed: 6.842 s 54.53/7.23 % (29678)------------------------------ 54.53/7.23 % (29678)------------------------------ 54.96/7.30 % (29722)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off:thsq=on_73 on theBenchmark 55.90/7.39 % (29687)Time limit reached! 55.90/7.39 % (29687)------------------------------ 55.90/7.39 % (29687)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 55.90/7.39 % (29687)Termination reason: Time limit 55.90/7.39 55.90/7.39 % (29687)Memory used [KB]: 36204 55.90/7.39 % (29687)Time elapsed: 7.022 s 55.90/7.39 % (29687)------------------------------ 55.90/7.39 % (29687)------------------------------ 55.90/7.39 % (29722)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 55.90/7.40 % (29702)Time limit reached! 55.90/7.40 % (29702)------------------------------ 55.90/7.40 % (29702)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 55.90/7.40 % (29702)Termination reason: Time limit 55.90/7.40 % (29702)Termination phase: Saturation 55.90/7.40 55.90/7.40 % (29702)Memory used [KB]: 21236 55.90/7.40 % (29702)Time elapsed: 6.100 s 55.90/7.40 % (29702)------------------------------ 55.90/7.40 % (29702)------------------------------ 56.31/7.45 % (29691)Time limit reached! 56.31/7.45 % (29691)------------------------------ 56.31/7.45 % (29691)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 56.31/7.45 % (29691)Termination reason: Time limit 56.31/7.45 56.31/7.45 % (29691)Memory used [KB]: 63964 56.31/7.45 % (29691)Time elapsed: 7.032 s 56.31/7.45 % (29691)------------------------------ 56.31/7.45 % (29691)------------------------------ 56.31/7.47 % (29723)dis+11_24_afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off:thsq=on_91 on theBenchmark 56.31/7.48 % (29724)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:cases=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 56.31/7.50 % (29722)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 56.79/7.52 % (29725)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on:thsq=on_15 on theBenchmark 56.79/7.57 % (29724)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 58.23/7.75 % (29701)Time limit reached! 58.23/7.75 % (29701)------------------------------ 58.23/7.75 % (29701)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 58.23/7.77 % (29701)Termination reason: Time limit 58.23/7.77 58.23/7.77 % (29701)Memory used [KB]: 8443 58.23/7.77 % (29701)Time elapsed: 6.811 s 58.23/7.77 % (29701)------------------------------ 58.23/7.77 % (29701)------------------------------ 59.45/7.84 % (29677)Time limit reached! 59.45/7.84 % (29677)------------------------------ 59.45/7.84 % (29677)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 59.45/7.84 % (29677)Termination reason: Time limit 59.45/7.84 % (29677)Termination phase: Saturation 59.45/7.84 59.45/7.84 % (29677)Memory used [KB]: 23027 59.45/7.84 % (29677)Time elapsed: 7.400 s 59.45/7.84 % (29677)------------------------------ 59.45/7.84 % (29677)------------------------------ 59.45/7.84 % (29726)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:add=large:afr=on:afp=0:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off:thsq=on_12 on theBenchmark 59.45/7.88 % (29721)Time limit reached! 59.45/7.88 % (29721)------------------------------ 59.45/7.88 % (29721)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 59.45/7.88 % (29721)Termination reason: Time limit 59.45/7.88 59.45/7.88 % (29721)Memory used [KB]: 6908 59.45/7.88 % (29721)Time elapsed: 1.397 s 59.45/7.88 % (29721)------------------------------ 59.45/7.88 % (29721)------------------------------ 59.45/7.89 % (29704)Time limit reached! 59.45/7.89 % (29704)------------------------------ 59.45/7.89 % (29704)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 59.45/7.89 % (29704)Termination reason: Time limit 59.45/7.89 % (29704)Termination phase: Saturation 59.45/7.89 59.45/7.89 % (29704)Memory used [KB]: 23794 59.45/7.89 % (29704)Time elapsed: 6.300 s 59.45/7.89 % (29704)------------------------------ 59.45/7.89 % (29704)------------------------------ 59.45/7.92 % (29727)lrs+1011_8_add=large:csup=on:narr=off: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_10 on theBenchmark 60.20/7.95 % (29728)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:cases=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off:thsq=on_10 on theBenchmark 60.20/7.95 % (29726)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 60.20/7.99 % (29729)lrs+1011_8_add=large:csup=on:piset=all: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_31 on theBenchmark 61.15/8.08 % (29720)Refutation not found, incomplete strategy% (29720)------------------------------ 61.15/8.08 % (29720)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 61.15/8.08 % (29720)Termination reason: Refutation not found, incomplete strategy 61.15/8.08 61.15/8.08 % (29720)Memory used [KB]: 34668 61.15/8.08 % (29720)Time elapsed: 2.562 s 61.15/8.08 % (29720)------------------------------ 61.15/8.08 % (29720)------------------------------ 61.15/8.09 % (29727)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 61.15/8.15 % (29729)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 61.82/8.17 % (29730)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only:thsq=on_600 on theBenchmark 62.93/8.36 % (29703)Time limit reached! 62.93/8.36 % (29703)------------------------------ 62.93/8.36 % (29703)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 62.93/8.37 % (29703)Termination reason: Time limit 62.93/8.37 62.93/8.37 % (29703)Memory used [KB]: 25330 62.93/8.37 % (29703)Time elapsed: 7.013 s 62.93/8.37 % (29703)------------------------------ 62.93/8.37 % (29703)------------------------------ 63.39/8.46 % (29731)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off:thsq=on_2 on theBenchmark 69.76/9.16 % (29697)First to succeed. 70.12/9.19 % (29697)Refutation found. Thanks to Tanya! 70.12/9.19 % SZS status Theorem for theBenchmark 70.12/9.19 % SZS output start Proof for theBenchmark 70.12/9.19 thf(type_def_6, type, list_P559422087at_nat: $tType). 70.12/9.19 thf(type_def_7, type, product_prod_nat_nat: $tType). 70.12/9.19 thf(type_def_8, type, set_nat: $tType). 70.12/9.19 thf(type_def_9, type, capacity: $tType). 70.12/9.19 thf(type_def_10, type, nat: $tType). 70.12/9.19 thf(type_def_11, type, a: $tType). 70.12/9.19 thf(type_def_12, type, >: ($tType * $tType) > $tType). 70.12/9.19 thf(func_def_13, type, connected_a: (product_prod_nat_nat > a) > nat > nat > $o). 70.12/9.19 thf(func_def_14, type, connected_capacity: (product_prod_nat_nat > capacity) > nat > nat > $o). 70.12/9.19 thf(func_def_15, type, dist_a: (product_prod_nat_nat > a) > nat > nat > nat > $o). 70.12/9.19 thf(func_def_16, type, dist_capacity: (product_prod_nat_nat > capacity) > nat > nat > nat > $o). 70.12/9.19 thf(func_def_17, type, isPath_a: (product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o). 70.12/9.19 thf(func_def_18, type, isPath_capacity: (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o). 70.12/9.19 thf(func_def_19, type, isShortestPath_a: (product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o). 70.12/9.19 thf(func_def_20, type, isShor1936442771pacity: (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o). 70.12/9.19 thf(func_def_21, type, isSimplePath_a: (product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o). 70.12/9.19 thf(func_def_22, type, isSimp1359852763pacity: (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o). 70.12/9.19 thf(func_def_23, type, min_dist_a: (product_prod_nat_nat > a) > nat > nat > nat). 70.12/9.19 thf(func_def_24, type, min_dist_capacity: (product_prod_nat_nat > capacity) > nat > nat > nat). 70.12/9.19 thf(func_def_25, type, reachableNodes_a: (product_prod_nat_nat > a) > nat > set_nat). 70.12/9.19 thf(func_def_26, type, reacha1693770334pacity: (product_prod_nat_nat > capacity) > nat > set_nat). 70.12/9.19 thf(func_def_27, type, plus_plus_nat: nat > nat > nat). 70.12/9.19 thf(func_def_28, type, size_s1990949619at_nat: list_P559422087at_nat > nat). 70.12/9.19 thf(func_def_29, type, ord_Least_nat: (nat > $o) > nat). 70.12/9.19 thf(func_def_30, type, ord_less_nat: nat > nat > $o). 70.12/9.19 thf(func_def_31, type, ord_less_eq_nat: nat > nat > $o). 70.12/9.19 thf(func_def_32, type, collect_nat: (nat > $o) > set_nat). 70.12/9.19 thf(func_def_33, type, member_nat: nat > set_nat > $o). 70.12/9.19 thf(func_def_34, type, c: product_prod_nat_nat > capacity). 70.12/9.19 thf(func_def_35, type, c2: product_prod_nat_nat > a). 70.12/9.19 thf(func_def_36, type, p: list_P559422087at_nat). 70.12/9.19 thf(func_def_37, type, p1: list_P559422087at_nat). 70.12/9.19 thf(func_def_38, type, p1a: list_P559422087at_nat). 70.12/9.19 thf(func_def_39, type, p2: list_P559422087at_nat). 70.12/9.19 thf(func_def_40, type, p2_a: list_P559422087at_nat). 70.12/9.19 thf(func_def_41, type, p3: list_P559422087at_nat). 70.12/9.19 thf(func_def_42, type, s: nat). 70.12/9.19 thf(func_def_43, type, t: nat). 70.12/9.19 thf(func_def_44, type, u: nat). 70.12/9.19 thf(func_def_45, type, ua: nat). 70.12/9.19 thf(func_def_46, type, v: nat). 70.12/9.19 thf(func_def_47, type, va: nat). 70.12/9.19 thf(func_def_51, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 70.12/9.19 thf(func_def_52, type, vAND: $o > $o > $o). 70.12/9.19 thf(func_def_53, type, vIMP: $o > $o > $o). 70.12/9.19 thf(func_def_54, type, vNOT: $o > $o). 70.12/9.19 thf(func_def_55, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 70.12/9.19 thf(func_def_56, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 70.12/9.19 thf(func_def_57, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 70.12/9.19 thf(func_def_58, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 70.12/9.19 thf(func_def_59, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 70.12/9.19 thf(func_def_60, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 70.12/9.19 thf(func_def_61, type, vOR: $o > $o > $o). 70.12/9.19 thf(func_def_62, type, sK0: nat > nat). 70.12/9.19 thf(func_def_63, type, sK1: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_64, type, sK2: nat > nat > nat). 70.12/9.19 thf(func_def_65, type, sK3: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_66, type, sK4: nat > nat > nat). 70.12/9.19 thf(func_def_67, type, sK5: (nat > $o) > (nat > $o) > nat). 70.12/9.19 thf(func_def_68, type, sK6: (nat > $o) > nat). 70.12/9.19 thf(func_def_69, type, sK7: (nat > $o) > nat). 70.12/9.19 thf(func_def_70, type, sK8: (nat > $o) > nat). 70.12/9.19 thf(func_def_71, type, sK9: (nat > $o) > (nat > $o) > nat). 70.12/9.19 thf(func_def_72, type, sK10: nat > nat > nat). 70.12/9.19 thf(func_def_73, type, sK11: nat > nat > nat). 70.12/9.19 thf(func_def_74, type, sK12: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_75, type, sK13: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_76, type, sK14: nat > list_P559422087at_nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_77, type, sK15: nat > list_P559422087at_nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_78, type, sK16: nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_79, type, sK17: nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_80, type, sK18: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_81, type, sK19: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_82, type, sK20: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_83, type, sK21: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_84, type, sK22: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_85, type, sK23: (nat > nat) > nat). 70.12/9.19 thf(func_def_86, type, sK24: (nat > nat) > nat). 70.12/9.19 thf(func_def_87, type, sK25: (nat > nat) > nat). 70.12/9.19 thf(func_def_88, type, sK26: (nat > nat) > nat). 70.12/9.19 thf(func_def_89, type, sK27: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_90, type, sK28: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_91, type, sK29: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_92, type, sK30: (nat > nat > $o) > nat). 70.12/9.19 thf(func_def_93, type, sK31: (nat > $o) > (nat > $o) > nat). 70.12/9.19 thf(func_def_94, type, sK32: (nat > $o) > nat). 70.12/9.19 thf(func_def_95, type, sK33: nat > (nat > $o) > nat). 70.12/9.19 thf(func_def_96, type, sK34: (nat > $o) > nat > nat > nat). 70.12/9.19 thf(func_def_97, type, sK35: nat > nat > nat). 70.12/9.19 thf(func_def_98, type, sK36: (nat > $o) > nat > nat > nat). 70.12/9.19 thf(func_def_99, type, sK37: nat > nat > nat). 70.12/9.19 thf(func_def_100, type, sK38: nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_101, type, sK39: nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_102, type, sK40: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_103, type, sK41: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_104, type, sK42: nat > nat > nat > nat). 70.12/9.19 thf(func_def_105, type, sK43: nat > nat > nat > nat). 70.12/9.19 thf(func_def_106, type, sK44: (nat > nat) > nat). 70.12/9.19 thf(func_def_107, type, sK45: (nat > nat) > nat). 70.12/9.19 thf(func_def_108, type, sK46: (nat > nat) > nat). 70.12/9.19 thf(func_def_109, type, sK47: (nat > nat) > nat). 70.12/9.19 thf(func_def_110, type, sK48: (nat > nat) > nat). 70.12/9.19 thf(func_def_111, type, sK49: (nat > nat) > nat). 70.12/9.19 thf(func_def_112, type, sK50: (nat > nat) > nat). 70.12/9.19 thf(func_def_113, type, sK51: (nat > nat) > nat). 70.12/9.19 thf(func_def_114, type, sK52: (nat > nat) > nat). 70.12/9.19 thf(func_def_115, type, sK53: (nat > nat) > nat). 70.12/9.19 thf(func_def_116, type, sK54: (nat > nat) > nat). 70.12/9.19 thf(func_def_117, type, sK55: (nat > nat) > nat). 70.12/9.19 thf(func_def_118, type, sK56: (nat > nat) > nat). 70.12/9.19 thf(func_def_119, type, sK57: (nat > nat) > nat). 70.12/9.19 thf(func_def_120, type, sK58: (nat > nat) > nat). 70.12/9.19 thf(func_def_121, type, sK59: (nat > nat) > nat). 70.12/9.19 thf(func_def_122, type, sK60: nat > nat > nat). 70.12/9.19 thf(func_def_123, type, sK61: nat > nat > nat). 70.12/9.19 thf(func_def_124, type, sK62: (nat > $o) > nat > nat > (product_prod_nat_nat > a) > nat). 70.12/9.19 thf(func_def_125, type, sK63: nat > nat > (product_prod_nat_nat > a) > nat). 70.12/9.19 thf(func_def_126, type, sK64: (nat > $o) > nat > nat > (product_prod_nat_nat > capacity) > nat). 70.12/9.19 thf(func_def_127, type, sK65: nat > nat > (product_prod_nat_nat > capacity) > nat). 70.12/9.19 thf(func_def_128, type, sK66: nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_129, type, sK67: nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_130, type, sK68: nat > nat > nat > (product_prod_nat_nat > a) > nat). 70.12/9.19 thf(func_def_131, type, sK69: nat > nat > nat > (product_prod_nat_nat > capacity) > nat). 70.12/9.19 thf(func_def_132, type, sK70: nat > nat > (product_prod_nat_nat > a) > nat). 70.12/9.19 thf(func_def_133, type, sK71: nat > nat > (product_prod_nat_nat > capacity) > nat). 70.12/9.19 thf(func_def_135, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 70.12/9.19 thf(func_def_136, type, sK73: list_P559422087at_nat). 70.12/9.19 thf(func_def_137, type, sK74: nat > nat > nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_138, type, sK75: nat > nat > nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_139, type, sK76: nat > nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_140, type, sK77: nat > nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_141, type, sK78: nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_142, type, sK79: nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_143, type, sK80: nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_144, type, sK81: nat > nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_145, type, sK82: nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_146, type, sK83: nat > nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_147, type, sK84: nat > list_P559422087at_nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_148, type, sK85: nat > list_P559422087at_nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_149, type, sK86: nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_150, type, sK87: (nat > $o) > nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_151, type, sK88: nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_152, type, sK89: (nat > $o) > nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_153, type, sK90: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_154, type, sK91: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_155, type, sK92: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_156, type, sK93: nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_157, type, sK94: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_158, type, sK95: nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_159, type, sK96: nat > list_P559422087at_nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_160, type, sK97: nat > list_P559422087at_nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_161, type, sK98: nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_162, type, sK99: nat > nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_163, type, sK100: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_164, type, sK101: (nat > $o) > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_165, type, sK102: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_166, type, sK103: (nat > $o) > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_167, type, sK104: list_P559422087at_nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_168, type, sK105: list_P559422087at_nat > nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_169, type, sK106: nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat). 70.12/9.19 thf(func_def_170, type, sK107: nat > (product_prod_nat_nat > a) > list_P559422087at_nat). 70.12/9.19 thf(func_def_171, type, sK108: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_172, type, sK109: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_173, type, sK110: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_174, type, sK111: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_175, type, sK112: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_176, type, sK113: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_177, type, sK114: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_178, type, sK115: nat > nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_179, type, sK116: nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_180, type, sK117: nat > list_P559422087at_nat). 70.12/9.19 thf(func_def_184, type, inv_plus_plus_nat_118: nat > nat > nat). 70.12/9.19 thf(func_def_185, type, inv_plus_plus_nat_119: nat > nat > nat). 70.12/9.19 thf(func_def_186, type, sK120: nat). 70.12/9.19 thf(func_def_187, type, sK121: (nat > $o) > nat). 70.12/9.19 thf(func_def_188, type, sK122: (nat > $o) > nat). 70.12/9.19 thf(func_def_189, type, sK123: nat > (nat > $o) > nat). 70.12/9.19 thf(func_def_190, type, sK124: nat > $o). 70.12/9.19 thf(func_def_191, type, sK125: nat). 70.12/9.19 thf(func_def_192, type, sK126: nat). 70.12/9.19 thf(func_def_193, type, sK127: (nat > $o) > nat). 70.12/9.19 thf(func_def_194, type, sK128: (nat > $o) > nat). 70.12/9.19 thf(func_def_195, type, sK129: (nat > $o) > nat). 70.12/9.19 thf(func_def_196, type, sK130: (nat > $o) > nat). 70.12/9.19 thf(func_def_197, type, sK131: (nat > $o) > nat). 70.12/9.19 thf(func_def_198, type, sK132: nat). 70.12/9.19 thf(func_def_199, type, sK133: nat). 70.12/9.19 thf(f12124,plain,( 70.12/9.19 $false), 70.12/9.19 inference(avatar_sat_refutation,[],[f4091,f5182,f11441,f11727,f12108])). 70.12/9.19 thf(f12108,plain,( 70.12/9.19 ~spl72_2 | ~spl72_4), 70.12/9.19 inference(avatar_contradiction_clause,[],[f12107])). 70.12/9.19 thf(f12107,plain,( 70.12/9.19 $false | (~spl72_2 | ~spl72_4)), 70.12/9.19 inference(subsumption_resolution,[],[f12106,f1252])). 70.12/9.19 thf(f1252,plain,( 70.12/9.19 ( ! [X0 : nat] : ((((ord_less_nat @ X0) @ X0) != $true)) )), 70.12/9.19 inference(cnf_transformation,[],[f760])). 70.12/9.19 thf(f760,plain,( 70.12/9.19 ! [X0 : nat] : (((ord_less_nat @ X0) @ X0) != $true)), 70.12/9.19 inference(flattening,[],[f338])). 70.12/9.19 thf(f338,plain,( 70.12/9.19 ! [X0 : nat] : ~(((ord_less_nat @ X0) @ X0) = $true)), 70.12/9.19 inference(fool_elimination,[],[f337])). 70.12/9.19 thf(f337,plain,( 70.12/9.19 ! [X0 : nat] : ~((ord_less_nat @ X0) @ X0)), 70.12/9.19 inference(rectify,[],[f191])). 70.12/9.19 thf(f191,axiom,( 70.12/9.19 ! [X12 : nat] : ~((ord_less_nat @ X12) @ X12)), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_less__irrefl)). 70.12/9.19 thf(f12106,plain,( 70.12/9.19 ($true = ((ord_less_nat @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p))) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p)))) | (~spl72_2 | ~spl72_4)), 70.12/9.19 inference(forward_demodulation,[],[f12052,f11847])). 70.12/9.19 thf(f11847,plain,( 70.12/9.19 ( ! [X0 : nat] : ((((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p)) = ((plus_plus_nat @ ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) @ ((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p2_a))))) ) | ~spl72_2), 70.12/9.19 inference(backward_demodulation,[],[f11782,f11797])). 70.12/9.19 thf(f11797,plain,( 70.12/9.19 ((ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua)) = ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) | ~spl72_2), 70.12/9.19 inference(superposition,[],[f4184,f11733])). 70.12/9.19 thf(f11733,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p) = ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ (size_s1990949619at_nat @ p2_a))) | ~spl72_2), 70.12/9.19 inference(backward_demodulation,[],[f4081,f4090])). 70.12/9.19 thf(f4090,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p2_a) = (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) | ~spl72_2), 70.12/9.19 inference(avatar_component_clause,[],[f4088])). 70.12/9.19 thf(f4088,plain,( 70.12/9.19 spl72_2 <=> ((size_s1990949619at_nat @ p2_a) = (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t)))), 70.12/9.19 introduced(avatar_definition,[new_symbols(naming,[spl72_2])])). 70.12/9.19 thf(f4081,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p) = ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))))), 70.12/9.19 inference(backward_demodulation,[],[f4076,f1967])). 70.12/9.19 thf(f1967,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p) = (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ t)))), 70.12/9.19 inference(equality_proxy_clausification,[],[f1966])). 70.12/9.19 thf(f1966,plain,( 70.12/9.19 ($true = ((vEQ(nat) @ (size_s1990949619at_nat @ p)) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ t))))), 70.12/9.19 inference(binary_proxy_clausification,[],[f1964])). 70.12/9.19 thf(f1964,plain,( 70.12/9.19 ($true = ((vAND @ ((vEQ(nat) @ (size_s1990949619at_nat @ p)) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ t)))) @ ((((isPath_capacity @ c) @ s) @ p) @ t)))), 70.12/9.19 inference(combinator_demodulation,[],[f1907])). 70.12/9.19 thf(f1907,plain,( 70.12/9.19 ($true = ((((((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ sCOMB))) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))))))))) @ isPath_capacity) @ c) @ s) @ p) @ t))), 70.12/9.19 inference(definition_unfolding,[],[f1617,f1623])). 70.12/9.19 thf(f1623,plain,( 70.12/9.19 (isShor1936442771pacity = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ sCOMB))) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat))))) @ ((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))))))))) @ isPath_capacity))), 70.12/9.19 inference(definition_unfolding,[],[f1230,f1622])). 70.12/9.19 thf(f1622,plain,( 70.12/9.19 (min_dist_capacity = ((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))))), 70.12/9.19 inference(definition_unfolding,[],[f1238,f1239])). 70.12/9.19 thf(f1239,plain,( 70.12/9.19 (dist_capacity = ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))), 70.12/9.19 inference(cnf_transformation,[],[f316])). 70.12/9.19 thf(f316,plain,( 70.12/9.19 (dist_capacity = ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))), 70.12/9.19 inference(fool_elimination,[],[f315])). 70.12/9.19 thf(f315,plain,( 70.12/9.19 (dist_capacity = (^[X0 : product_prod_nat_nat > capacity, X1 : nat, X2 : nat, X3 : nat] : (? [X4 : list_P559422087at_nat] : (((((isPath_capacity @ X0) @ X1) @ X4) @ X3) & ((size_s1990949619at_nat @ X4) = X2)))))), 70.12/9.19 inference(rectify,[],[f92])). 70.12/9.19 thf(f92,axiom,( 70.12/9.19 (dist_capacity = (^[X40 : product_prod_nat_nat > capacity, X42 : nat, X37 : nat, X54 : nat] : (? [X34 : list_P559422087at_nat] : (((((isPath_capacity @ X40) @ X42) @ X34) @ X54) & ((size_s1990949619at_nat @ X34) = X37)))))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_Graph_Odist__def)). 70.12/9.19 thf(f1238,plain,( 70.12/9.19 (min_dist_capacity = ((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ dist_capacity)))), 70.12/9.19 inference(cnf_transformation,[],[f314])). 70.12/9.19 thf(f314,plain,( 70.12/9.19 (min_dist_capacity = ((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ dist_capacity)))), 70.12/9.19 inference(fool_elimination,[],[f313])). 70.12/9.19 thf(f313,plain,( 70.12/9.19 (min_dist_capacity = (^[X0 : product_prod_nat_nat > capacity, X1 : nat, X2 : nat] : ((ord_Least_nat @ (^[X3 : nat] : (((((dist_capacity @ X0) @ X1) @ X3) @ X2)))))))), 70.12/9.19 inference(rectify,[],[f225])). 70.12/9.19 thf(f225,axiom,( 70.12/9.19 (min_dist_capacity = (^[X40 : product_prod_nat_nat > capacity, X42 : nat, X54 : nat] : ((ord_Least_nat @ (^[X37 : nat] : (((((dist_capacity @ X40) @ X42) @ X37) @ X54)))))))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_Graph_Omin__dist__def)). 70.12/9.19 thf(f1230,plain,( 70.12/9.19 (isShor1936442771pacity = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ sCOMB))) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat))))) @ min_dist_capacity)))))) @ isPath_capacity))), 70.12/9.19 inference(cnf_transformation,[],[f298])). 70.12/9.19 thf(f298,plain,( 70.12/9.19 (isShor1936442771pacity = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ sCOMB))) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat))))) @ min_dist_capacity)))))) @ isPath_capacity))), 70.12/9.19 inference(fool_elimination,[],[f297])). 70.12/9.19 thf(f297,plain,( 70.12/9.19 (isShor1936442771pacity = (^[X0 : product_prod_nat_nat > capacity, X1 : nat, X2 : list_P559422087at_nat, X3 : nat] : (((((isPath_capacity @ X0) @ X1) @ X2) @ X3) & ((size_s1990949619at_nat @ X2) = (((min_dist_capacity @ X0) @ X1) @ X3)))))), 70.12/9.19 inference(rectify,[],[f43])). 70.12/9.19 thf(f43,axiom,( 70.12/9.19 (isShor1936442771pacity = (^[X40 : product_prod_nat_nat > capacity, X41 : nat, X34 : list_P559422087at_nat, X42 : nat] : (((((isPath_capacity @ X40) @ X41) @ X34) @ X42) & ((size_s1990949619at_nat @ X34) = (((min_dist_capacity @ X40) @ X41) @ X42)))))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_Graph_OisShortestPath__min__dist__def)). 70.12/9.19 thf(f1617,plain,( 70.12/9.19 (((((isShor1936442771pacity @ c) @ s) @ p) @ t) = $true)), 70.12/9.19 inference(cnf_transformation,[],[f752])). 70.12/9.19 thf(f752,plain,( 70.12/9.19 (((((isShor1936442771pacity @ c) @ s) @ p) @ t) = $true)), 70.12/9.19 inference(fool_elimination,[],[f751])). 70.12/9.19 thf(f751,plain,( 70.12/9.19 ((((isShor1936442771pacity @ c) @ s) @ p) @ t)), 70.12/9.19 inference(rectify,[],[f222])). 70.12/9.19 thf(f222,axiom,( 70.12/9.19 ((((isShor1936442771pacity @ c) @ s) @ p) @ t)), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_SP)). 70.12/9.19 thf(f4076,plain,( 70.12/9.19 ((ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ t)) = ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))))), 70.12/9.19 inference(combinator_demodulation,[],[f1638])). 70.12/9.19 thf(f1638,plain,( 70.12/9.19 ((((((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))) @ c) @ s) @ t) = ((plus_plus_nat @ (((((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))) @ c) @ s) @ ua)) @ (((((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))) @ c) @ ua) @ t)))), 70.12/9.19 inference(definition_unfolding,[],[f1220,f1622,f1622,f1622])). 70.12/9.19 thf(f1220,plain,( 70.12/9.19 ((((min_dist_capacity @ c) @ s) @ t) = ((plus_plus_nat @ (((min_dist_capacity @ c) @ s) @ ua)) @ (((min_dist_capacity @ c) @ ua) @ t)))), 70.12/9.19 inference(cnf_transformation,[],[f228])). 70.12/9.19 thf(f228,axiom,( 70.12/9.19 ((((min_dist_capacity @ c) @ s) @ t) = ((plus_plus_nat @ (((min_dist_capacity @ c) @ s) @ ua)) @ (((min_dist_capacity @ c) @ ua) @ t)))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062)). 70.12/9.19 thf(f4184,plain,( 70.12/9.19 ( ! [X0 : nat,X1 : nat] : ((((inv_plus_plus_nat_118 @ X1) @ ((plus_plus_nat @ X0) @ X1)) = X0)) )), 70.12/9.19 inference(injectivity,[],[f1353])). 70.12/9.19 thf(f1353,plain,( 70.12/9.19 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus_nat @ X0) @ X1) != ((plus_plus_nat @ X2) @ X1)) | (X0 = X2)) )), 70.12/9.19 inference(cnf_transformation,[],[f1098])). 70.12/9.19 thf(f1098,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat] : (((((plus_plus_nat @ X0) @ X1) = ((plus_plus_nat @ X2) @ X1)) | (X0 != X2)) & ((X0 = X2) | (((plus_plus_nat @ X0) @ X1) != ((plus_plus_nat @ X2) @ X1))))), 70.12/9.19 inference(nnf_transformation,[],[f482])). 70.12/9.19 thf(f482,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat] : ((((plus_plus_nat @ X0) @ X1) = ((plus_plus_nat @ X2) @ X1)) <=> (X0 = X2))), 70.12/9.19 inference(fool_elimination,[],[f481])). 70.12/9.19 thf(f481,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat] : ((((plus_plus_nat @ X0) @ X1) = ((plus_plus_nat @ X2) @ X1)) = (X0 = X2))), 70.12/9.19 inference(rectify,[],[f271])). 70.12/9.19 thf(f271,axiom,( 70.12/9.19 ! [X1 : nat,X0 : nat,X8 : nat] : ((((plus_plus_nat @ X1) @ X0) = ((plus_plus_nat @ X8) @ X0)) = (X1 = X8))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_add__right__cancel)). 70.12/9.19 thf(f11782,plain,( 70.12/9.19 ( ! [X0 : nat] : ((((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p)) = ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ ((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p2_a))))) ) | ~spl72_2), 70.12/9.19 inference(superposition,[],[f1350,f11733])). 70.12/9.19 thf(f1350,plain,( 70.12/9.19 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus_nat @ X1) @ ((plus_plus_nat @ X0) @ X2)) = ((plus_plus_nat @ X0) @ ((plus_plus_nat @ X1) @ X2)))) )), 70.12/9.19 inference(cnf_transformation,[],[f791])). 70.12/9.19 thf(f791,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat] : (((plus_plus_nat @ X1) @ ((plus_plus_nat @ X0) @ X2)) = ((plus_plus_nat @ X0) @ ((plus_plus_nat @ X1) @ X2)))), 70.12/9.19 inference(rectify,[],[f87])). 70.12/9.19 thf(f87,axiom,( 70.12/9.19 ! [X1 : nat,X0 : nat,X8 : nat] : (((plus_plus_nat @ X0) @ ((plus_plus_nat @ X1) @ X8)) = ((plus_plus_nat @ X1) @ ((plus_plus_nat @ X0) @ X8)))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_add_Oleft__commute)). 70.12/9.19 thf(f12052,plain,( 70.12/9.19 ($true = ((ord_less_nat @ ((plus_plus_nat @ ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)))) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p)))) | (~spl72_2 | ~spl72_4)), 70.12/9.19 inference(unit_resulting_resolution,[],[f11804,f4238,f1538])). 70.12/9.19 thf(f1538,plain,( 70.12/9.19 ( ! [X2 : nat,X0 : nat,X3 : nat,X1 : nat] : ((((ord_less_nat @ X0) @ X1) != $true) | ($true != ((ord_less_nat @ X2) @ X3)) | ($true = ((ord_less_nat @ ((plus_plus_nat @ X0) @ X2)) @ ((plus_plus_nat @ X1) @ X3)))) )), 70.12/9.19 inference(cnf_transformation,[],[f962])). 70.12/9.19 thf(f962,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (($true = ((ord_less_nat @ ((plus_plus_nat @ X0) @ X2)) @ ((plus_plus_nat @ X1) @ X3))) | ($true != ((ord_less_nat @ X2) @ X3)) | (((ord_less_nat @ X0) @ X1) != $true))), 70.12/9.19 inference(flattening,[],[f961])). 70.12/9.19 thf(f961,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (($true = ((ord_less_nat @ ((plus_plus_nat @ X0) @ X2)) @ ((plus_plus_nat @ X1) @ X3))) | (($true != ((ord_less_nat @ X2) @ X3)) | (((ord_less_nat @ X0) @ X1) != $true)))), 70.12/9.19 inference(ennf_transformation,[],[f630])). 70.12/9.19 thf(f630,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : ((($true = ((ord_less_nat @ X2) @ X3)) & (((ord_less_nat @ X0) @ X1) = $true)) => ($true = ((ord_less_nat @ ((plus_plus_nat @ X0) @ X2)) @ ((plus_plus_nat @ X1) @ X3))))), 70.12/9.19 inference(fool_elimination,[],[f629])). 70.12/9.19 thf(f629,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : ((((ord_less_nat @ X2) @ X3) & ((ord_less_nat @ X0) @ X1)) => ((ord_less_nat @ ((plus_plus_nat @ X0) @ X2)) @ ((plus_plus_nat @ X1) @ X3)))), 70.12/9.19 inference(rectify,[],[f94])). 70.12/9.19 thf(f94,axiom,( 70.12/9.19 ! [X26 : nat,X27 : nat,X28 : nat,X29 : nat] : ((((ord_less_nat @ X28) @ X29) & ((ord_less_nat @ X26) @ X27)) => ((ord_less_nat @ ((plus_plus_nat @ X26) @ X28)) @ ((plus_plus_nat @ X27) @ X29)))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_add__mono__thms__linordered__field_I5_J)). 70.12/9.19 thf(f4238,plain,( 70.12/9.19 ($true = ((ord_less_nat @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) @ (size_s1990949619at_nat @ p))) | ~spl72_4), 70.12/9.19 inference(avatar_component_clause,[],[f4236])). 70.12/9.19 thf(f4236,plain,( 70.12/9.19 spl72_4 <=> ($true = ((ord_less_nat @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) @ (size_s1990949619at_nat @ p)))), 70.12/9.19 introduced(avatar_definition,[new_symbols(naming,[spl72_4])])). 70.12/9.19 thf(f11804,plain,( 70.12/9.19 ($true = ((ord_less_nat @ ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) @ (size_s1990949619at_nat @ p1a))) | ~spl72_2), 70.12/9.19 inference(backward_demodulation,[],[f1963,f11797])). 70.12/9.19 thf(f1963,plain,( 70.12/9.19 ($true = ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ (size_s1990949619at_nat @ p1a)))), 70.12/9.19 inference(combinator_demodulation,[],[f1908])). 70.12/9.19 thf(f1908,plain,( 70.12/9.19 ($true = ((ord_less_nat @ (((((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))) @ c) @ s) @ ua)) @ (size_s1990949619at_nat @ p1a)))), 70.12/9.19 inference(definition_unfolding,[],[f1618,f1622])). 70.12/9.19 thf(f1618,plain,( 70.12/9.19 (((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ ua)) @ (size_s1990949619at_nat @ p1a)) = $true)), 70.12/9.19 inference(cnf_transformation,[],[f754])). 70.12/9.19 thf(f754,plain,( 70.12/9.19 (((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ ua)) @ (size_s1990949619at_nat @ p1a)) = $true)), 70.12/9.19 inference(fool_elimination,[],[f753])). 70.12/9.19 thf(f753,plain,( 70.12/9.19 ((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ ua)) @ (size_s1990949619at_nat @ p1a))), 70.12/9.19 inference(rectify,[],[f236])). 70.12/9.19 thf(f236,axiom,( 70.12/9.19 ((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ ua)) @ (size_s1990949619at_nat @ p1a))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062)). 70.12/9.19 thf(f11727,plain,( 70.12/9.19 ~spl72_1), 70.12/9.19 inference(avatar_contradiction_clause,[],[f11726])). 70.12/9.19 thf(f11726,plain,( 70.12/9.19 $false | ~spl72_1), 70.12/9.19 inference(subsumption_resolution,[],[f11725,f4082])). 70.12/9.19 thf(f4082,plain,( 70.12/9.19 ($true != ((ord_less_nat @ (size_s1990949619at_nat @ p)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))))), 70.12/9.19 inference(backward_demodulation,[],[f4077,f1967])). 70.12/9.19 thf(f4077,plain,( 70.12/9.19 ($true != ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ t))) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))))), 70.12/9.19 inference(combinator_demodulation,[],[f1627])). 70.12/9.19 thf(f1627,plain,( 70.12/9.19 ($true != ((ord_less_nat @ (((((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))) @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))))), 70.12/9.19 inference(definition_unfolding,[],[f1205,f1622])). 70.12/9.19 thf(f1205,plain,( 70.12/9.19 (((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) != $true)), 70.12/9.19 inference(cnf_transformation,[],[f757])). 70.12/9.19 thf(f757,plain,( 70.12/9.19 (((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) != $true)), 70.12/9.19 inference(flattening,[],[f278])). 70.12/9.19 thf(f278,plain,( 70.12/9.19 ~(((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) = $true)), 70.12/9.19 inference(fool_elimination,[],[f277])). 70.12/9.19 thf(f277,plain,( 70.12/9.19 ~((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 inference(rectify,[],[f232])). 70.12/9.19 thf(f232,negated_conjecture,( 70.12/9.19 ~((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 inference(negated_conjecture,[],[f231])). 70.12/9.19 thf(f231,conjecture,( 70.12/9.19 ((ord_less_nat @ (((min_dist_capacity @ c) @ s) @ t)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 70.12/9.19 thf(f11725,plain,( 70.12/9.19 ($true = ((ord_less_nat @ (size_s1990949619at_nat @ p)) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)))) | ~spl72_1), 70.12/9.19 inference(forward_demodulation,[],[f11668,f4081])). 70.12/9.19 thf(f11668,plain,( 70.12/9.19 ($true = ((ord_less_nat @ ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t)))) @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)))) | ~spl72_1), 70.12/9.19 inference(unit_resulting_resolution,[],[f1963,f4086,f1538])). 70.12/9.19 thf(f4086,plain,( 70.12/9.19 ($true = ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a))) | ~spl72_1), 70.12/9.19 inference(avatar_component_clause,[],[f4084])). 70.12/9.19 thf(f4084,plain,( 70.12/9.19 spl72_1 <=> ($true = ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 introduced(avatar_definition,[new_symbols(naming,[spl72_1])])). 70.12/9.19 thf(f11441,plain,( 70.12/9.19 ~spl72_2 | ~spl72_3), 70.12/9.19 inference(avatar_contradiction_clause,[],[f11440])). 70.12/9.19 thf(f11440,plain,( 70.12/9.19 $false | (~spl72_2 | ~spl72_3)), 70.12/9.19 inference(subsumption_resolution,[],[f11402,f5393])). 70.12/9.19 thf(f5393,plain,( 70.12/9.19 ( ! [X0 : nat,X1 : nat] : (($true != ((ord_less_nat @ ((plus_plus_nat @ X0) @ X1)) @ ((plus_plus_nat @ X1) @ X0)))) )), 70.12/9.19 inference(unit_resulting_resolution,[],[f1252,f1351,f1545])). 70.12/9.19 thf(f1545,plain,( 70.12/9.19 ( ! [X2 : nat,X0 : nat,X3 : nat,X1 : nat] : ((((ord_less_nat @ X0) @ X1) != $true) | (((plus_plus_nat @ X2) @ X1) != ((plus_plus_nat @ X0) @ X3)) | ($true = ((ord_less_nat @ X2) @ X3))) )), 70.12/9.19 inference(cnf_transformation,[],[f974])). 70.12/9.19 thf(f974,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (($true = ((ord_less_nat @ X2) @ X3)) | (((plus_plus_nat @ X2) @ X1) != ((plus_plus_nat @ X0) @ X3)) | (((ord_less_nat @ X0) @ X1) != $true))), 70.12/9.19 inference(flattening,[],[f973])). 70.12/9.19 thf(f973,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : ((($true = ((ord_less_nat @ X2) @ X3)) | (((plus_plus_nat @ X2) @ X1) != ((plus_plus_nat @ X0) @ X3))) | (((ord_less_nat @ X0) @ X1) != $true))), 70.12/9.19 inference(ennf_transformation,[],[f642])). 70.12/9.19 thf(f642,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : ((((ord_less_nat @ X0) @ X1) = $true) => ((((plus_plus_nat @ X2) @ X1) = ((plus_plus_nat @ X0) @ X3)) => ($true = ((ord_less_nat @ X2) @ X3))))), 70.12/9.19 inference(fool_elimination,[],[f641])). 70.12/9.19 thf(f641,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (((ord_less_nat @ X0) @ X1) => ((((plus_plus_nat @ X2) @ X1) = ((plus_plus_nat @ X0) @ X3)) => ((ord_less_nat @ X2) @ X3)))), 70.12/9.19 inference(rectify,[],[f113])). 70.12/9.19 thf(f113,axiom,( 70.12/9.19 ! [X28 : nat,X29 : nat,X6 : nat,X7 : nat] : (((ord_less_nat @ X28) @ X29) => ((((plus_plus_nat @ X6) @ X29) = ((plus_plus_nat @ X28) @ X7)) => ((ord_less_nat @ X6) @ X7)))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_less__add__eq__less)). 70.12/9.19 thf(f1351,plain,( 70.12/9.19 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus_nat @ X0) @ ((plus_plus_nat @ X1) @ X2)) = ((plus_plus_nat @ ((plus_plus_nat @ X0) @ X1)) @ X2))) )), 70.12/9.19 inference(cnf_transformation,[],[f792])). 70.12/9.19 thf(f792,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat,X2 : nat] : (((plus_plus_nat @ X0) @ ((plus_plus_nat @ X1) @ X2)) = ((plus_plus_nat @ ((plus_plus_nat @ X0) @ X1)) @ X2))), 70.12/9.19 inference(rectify,[],[f29])). 70.12/9.19 thf(f29,axiom,( 70.12/9.19 ! [X0 : nat,X1 : nat,X8 : nat] : (((plus_plus_nat @ ((plus_plus_nat @ X0) @ X1)) @ X8) = ((plus_plus_nat @ X0) @ ((plus_plus_nat @ X1) @ X8)))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_ab__semigroup__add__class_Oadd__ac_I1_J)). 70.12/9.19 thf(f11402,plain,( 70.12/9.19 ( ! [X0 : nat] : (($true = ((ord_less_nat @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ X0)) @ ((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p1a))))) ) | (~spl72_2 | ~spl72_3)), 70.12/9.19 inference(backward_demodulation,[],[f11349,f11324])). 70.12/9.19 thf(f11324,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p1a) = ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) | ~spl72_3), 70.12/9.19 inference(superposition,[],[f4184,f4234])). 70.12/9.19 thf(f4234,plain,( 70.12/9.19 (((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)) = (size_s1990949619at_nat @ p)) | ~spl72_3), 70.12/9.19 inference(avatar_component_clause,[],[f4232])). 70.12/9.19 thf(f4232,plain,( 70.12/9.19 spl72_3 <=> (((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)) = (size_s1990949619at_nat @ p))), 70.12/9.19 introduced(avatar_definition,[new_symbols(naming,[spl72_3])])). 70.12/9.19 thf(f11349,plain,( 70.12/9.19 ( ! [X0 : nat] : (($true = ((ord_less_nat @ ((plus_plus_nat @ ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) @ X0)) @ ((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p1a))))) ) | ~spl72_2), 70.12/9.19 inference(backward_demodulation,[],[f9571,f11323])). 70.12/9.19 thf(f11323,plain,( 70.12/9.19 ((ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua)) = ((inv_plus_plus_nat_118 @ (size_s1990949619at_nat @ p2_a)) @ (size_s1990949619at_nat @ p))) | ~spl72_2), 70.12/9.19 inference(superposition,[],[f4184,f9740])). 70.12/9.19 thf(f9740,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p) = ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ (size_s1990949619at_nat @ p2_a))) | ~spl72_2), 70.12/9.19 inference(backward_demodulation,[],[f4081,f4090])). 70.12/9.19 thf(f9571,plain,( 70.12/9.19 ( ! [X0 : nat] : (($true = ((ord_less_nat @ ((plus_plus_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ s))))) @ ua))) @ X0)) @ ((plus_plus_nat @ X0) @ (size_s1990949619at_nat @ p1a))))) )), 70.12/9.19 inference(unit_resulting_resolution,[],[f1351,f1963,f1545])). 70.12/9.19 thf(f5182,plain,( 70.12/9.19 spl72_3 | spl72_4), 70.12/9.19 inference(avatar_split_clause,[],[f4356,f4236,f4232])). 70.12/9.19 thf(f4356,plain,( 70.12/9.19 ($true = ((ord_less_nat @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) @ (size_s1990949619at_nat @ p))) | (((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)) = (size_s1990949619at_nat @ p))), 70.12/9.19 inference(trivial_inequality_removal,[],[f4353])). 70.12/9.19 thf(f4353,plain,( 70.12/9.19 ($true != $true) | ($true = ((ord_less_nat @ ((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a))) @ (size_s1990949619at_nat @ p))) | (((plus_plus_nat @ (size_s1990949619at_nat @ p1a)) @ (size_s1990949619at_nat @ p2_a)) = (size_s1990949619at_nat @ p))), 70.12/9.19 inference(superposition,[],[f4082,f1263])). 70.12/9.19 thf(f1263,plain,( 70.12/9.19 ( ! [X0 : nat,X1 : nat] : ((((ord_less_nat @ X0) @ X1) = $true) | (((ord_less_nat @ X1) @ X0) = $true) | (X0 = X1)) )), 70.12/9.19 inference(cnf_transformation,[],[f1056])). 70.12/9.19 thf(f1056,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat] : (((X0 != X1) | ((((ord_less_nat @ X0) @ X1) != $true) & (((ord_less_nat @ X1) @ X0) != $true))) & ((((ord_less_nat @ X0) @ X1) = $true) | (((ord_less_nat @ X1) @ X0) = $true) | (X0 = X1)))), 70.12/9.19 inference(flattening,[],[f1055])). 70.12/9.19 thf(f1055,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat] : (((X0 != X1) | ((((ord_less_nat @ X0) @ X1) != $true) & (((ord_less_nat @ X1) @ X0) != $true))) & (((((ord_less_nat @ X0) @ X1) = $true) | (((ord_less_nat @ X1) @ X0) = $true)) | (X0 = X1)))), 70.12/9.19 inference(nnf_transformation,[],[f358])). 70.12/9.19 thf(f358,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat] : ((X0 != X1) <=> ((((ord_less_nat @ X0) @ X1) = $true) | (((ord_less_nat @ X1) @ X0) = $true)))), 70.12/9.19 inference(fool_elimination,[],[f357])). 70.12/9.19 thf(f357,plain,( 70.12/9.19 ! [X0 : nat,X1 : nat] : ((X0 != X1) = ((ord_less_nat @ X0) @ X1) | ((ord_less_nat @ X1) @ X0))), 70.12/9.19 inference(rectify,[],[f190])). 70.12/9.19 thf(f190,axiom,( 70.12/9.19 ! [X12 : nat,X13 : nat] : ((X12 != X13) = ((ord_less_nat @ X12) @ X13) | ((ord_less_nat @ X13) @ X12))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_neq__iff)). 70.12/9.19 thf(f4091,plain,( 70.12/9.19 spl72_1 | spl72_2), 70.12/9.19 inference(avatar_split_clause,[],[f1962,f4088,f4084])). 70.12/9.19 thf(f1962,plain,( 70.12/9.19 ((size_s1990949619at_nat @ p2_a) = (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) | ($true = ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 inference(equality_proxy_clausification,[],[f1961])). 70.12/9.19 thf(f1961,plain,( 70.12/9.19 ($true = ((vEQ(nat) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a))) | ($true = ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 inference(binary_proxy_clausification,[],[f1960])). 70.12/9.19 thf(f1960,plain,( 70.12/9.19 ($true = ((vOR @ ((ord_less_nat @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a))) @ ((vEQ(nat) @ (ord_Least_nat @ ((cCOMB @ ((bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))) @ (cCOMB @ ((isPath_capacity @ c) @ ua))))) @ t))) @ (size_s1990949619at_nat @ p2_a))))), 70.12/9.19 inference(combinator_demodulation,[],[f1909])). 70.12/9.19 thf(f1909,plain,( 70.12/9.19 ($true = ((((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vOR)) @ ord_less_nat))) @ vEQ(nat)) @ (((((bCOMB @ (bCOMB @ (bCOMB @ ord_Least_nat))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA(list_P559422087at_nat))))) @ ((bCOMB @ (bCOMB @ (cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ (cCOMB @ ((bCOMB @ vEQ(nat)) @ size_s1990949619at_nat)))))))) @ ((bCOMB @ (bCOMB @ cCOMB)) @ isPath_capacity))))) @ c) @ ua) @ t)) @ (size_s1990949619at_nat @ p2_a)))), 70.12/9.19 inference(definition_unfolding,[],[f1619,f1244,f1622])). 70.12/9.19 thf(f1244,plain,( 70.12/9.19 (ord_less_eq_nat = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vOR)) @ ord_less_nat))) @ vEQ(nat)))), 70.12/9.19 inference(cnf_transformation,[],[f326])). 70.12/9.19 thf(f326,plain,( 70.12/9.19 (ord_less_eq_nat = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vOR)) @ ord_less_nat))) @ vEQ(nat)))), 70.12/9.19 inference(fool_elimination,[],[f325])). 70.12/9.19 thf(f325,plain,( 70.12/9.19 (ord_less_eq_nat = (^[X0 : nat, X1 : nat] : ((X0 = X1) | ((ord_less_nat @ X0) @ X1))))), 70.12/9.19 inference(rectify,[],[f101])). 70.12/9.19 thf(f101,axiom,( 70.12/9.19 (ord_less_eq_nat = (^[X33 : nat, X32 : nat] : ((X32 = X33) | ((ord_less_nat @ X33) @ X32))))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_dual__order_Oorder__iff__strict)). 70.12/9.19 thf(f1619,plain,( 70.12/9.19 (((ord_less_eq_nat @ (((min_dist_capacity @ c) @ ua) @ t)) @ (size_s1990949619at_nat @ p2_a)) = $true)), 70.12/9.19 inference(cnf_transformation,[],[f756])). 70.12/9.19 thf(f756,plain,( 70.12/9.19 (((ord_less_eq_nat @ (((min_dist_capacity @ c) @ ua) @ t)) @ (size_s1990949619at_nat @ p2_a)) = $true)), 70.12/9.19 inference(fool_elimination,[],[f755])). 70.12/9.19 thf(f755,plain,( 70.12/9.19 ((ord_less_eq_nat @ (((min_dist_capacity @ c) @ ua) @ t)) @ (size_s1990949619at_nat @ p2_a))), 70.12/9.19 inference(rectify,[],[f46])). 70.12/9.19 thf(f46,axiom,( 70.12/9.19 ((ord_less_eq_nat @ (((min_dist_capacity @ c) @ ua) @ t)) @ (size_s1990949619at_nat @ p2_a))), 70.12/9.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062)). 70.12/9.19 % SZS output end Proof for theBenchmark 70.12/9.19 % (29697)------------------------------ 70.12/9.19 % (29697)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 70.12/9.19 % (29697)Termination reason: Refutation 70.12/9.19 70.12/9.19 % (29697)Memory used [KB]: 34029 70.12/9.19 % (29697)Time elapsed: 8.737 s 70.12/9.19 % (29697)------------------------------ 70.12/9.19 % (29697)------------------------------ 70.12/9.19 % (29669)Success in time 8.859 s 70.12/9.21 EOF