0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : run_vampire %s %d 0.15/0.36 % Computer : n012.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1200 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Tue Jul 13 11:42:01 EDT 2021 0.15/0.37 % CPUTime : 0.15/0.37 This is a THF_ problem 0.15/0.37 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.37 Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (22322)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 0.22/0.45 % (22323)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 0.22/0.45 % (22325)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 0.22/0.47 % (22327)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 0.22/0.47 % (22334)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 0.22/0.47 % (22321)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 0.22/0.47 % (22328)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 0.22/0.47 % (22349)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 0.22/0.48 % (22342)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 0.22/0.48 % (22324)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 0.22/0.48 % (22350)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 0.22/0.48 % (22332)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 0.22/0.48 % (22343)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 0.22/0.48 % (22337)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 0.22/0.48 % (22344)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 0.22/0.48 % (22347)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 0.22/0.48 % (22341)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 0.22/0.49 % (22338)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 0.22/0.49 % (22336)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 0.22/0.49 % (22326)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 0.22/0.49 % (22339)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 0.22/0.49 % (22335)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 0.22/0.49 % (22348)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 0.22/0.49 % (22333)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 0.22/0.49 % (22329)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 0.22/0.49 % (22345)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 0.22/0.50 % (22330)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 0.22/0.50 % (22331)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 0.22/0.50 % (22346)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 0.22/0.50 % (22340)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 0.22/0.60 % (22338)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.61 % (22346)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.62 % (22328)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.63 % (22337)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.63 % (22327)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.63 % (22325)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.64 % (22330)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.64 % (22344)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.22/0.65 % (22345)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 1.70/0.67 % (22323)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.70/0.67 % (22334)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.30/0.71 % (22337)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.30/0.72 % (22343)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.42/0.73 % (22336)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.42/0.74 % (22330)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.42/0.75 % (22340)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.42/0.75 % (22329)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 3.82/0.95 % (22335)Time limit reached! 3.82/0.95 % (22335)------------------------------ 3.82/0.95 % (22335)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 3.82/0.96 % (22335)Termination reason: Time limit 3.82/0.96 3.82/0.96 % (22335)Memory used [KB]: 11769 3.82/0.96 % (22335)Time elapsed: 0.527 s 3.82/0.96 % (22335)------------------------------ 3.82/0.96 % (22335)------------------------------ 4.62/1.02 % (22441)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 5.47/1.12 % (22333)Time limit reached! 5.47/1.12 % (22333)------------------------------ 5.47/1.12 % (22333)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.47/1.12 % (22333)Termination reason: Time limit 5.47/1.12 5.47/1.12 % (22333)Memory used [KB]: 9722 5.47/1.12 % (22333)Time elapsed: 0.702 s 5.47/1.12 % (22333)------------------------------ 5.47/1.12 % (22333)------------------------------ 5.47/1.13 % (22324)Time limit reached! 5.47/1.13 % (22324)------------------------------ 5.47/1.13 % (22324)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.47/1.13 % (22324)Termination reason: Time limit 5.47/1.13 % (22324)Termination phase: Saturation 5.47/1.13 5.47/1.13 % (22324)Memory used [KB]: 21748 5.47/1.13 % (22324)Time elapsed: 0.700 s 5.47/1.13 % (22324)------------------------------ 5.47/1.13 % (22324)------------------------------ 5.47/1.13 % (22322)Time limit reached! 5.47/1.13 % (22322)------------------------------ 5.47/1.13 % (22322)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.47/1.13 % (22322)Termination reason: Time limit 5.47/1.13 5.47/1.13 % (22322)Memory used [KB]: 19445 5.47/1.13 % (22322)Time elapsed: 0.709 s 5.47/1.13 % (22322)------------------------------ 5.47/1.13 % (22322)------------------------------ 5.47/1.14 % (22321)Time limit reached! 5.47/1.14 % (22321)------------------------------ 5.47/1.14 % (22321)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.47/1.14 % (22321)Termination reason: Time limit 5.47/1.14 5.47/1.14 % (22321)Memory used [KB]: 9978 5.47/1.14 % (22321)Time elapsed: 0.720 s 5.47/1.14 % (22321)------------------------------ 5.47/1.14 % (22321)------------------------------ 5.47/1.14 % (22332)Time limit reached! 5.47/1.14 % (22332)------------------------------ 5.47/1.14 % (22332)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.47/1.15 % (22332)Termination reason: Time limit 5.47/1.15 5.47/1.15 % (22332)Memory used [KB]: 18933 5.47/1.15 % (22332)Time elapsed: 0.720 s 5.47/1.15 % (22332)------------------------------ 5.47/1.15 % (22332)------------------------------ 5.47/1.17 % (22442)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 5.47/1.18 % (22443)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 5.47/1.19 % (22444)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 6.05/1.19 % (22445)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 6.05/1.20 % (22446)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 6.05/1.31 % (22443)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.05/1.32 % (22330)Time limit reached! 6.05/1.32 % (22330)------------------------------ 6.05/1.32 % (22330)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.05/1.32 % (22330)Termination reason: Time limit 6.05/1.32 % (22330)Termination phase: Saturation 6.05/1.32 6.05/1.32 % (22330)Memory used [KB]: 17654 6.05/1.32 % (22330)Time elapsed: 0.900 s 6.05/1.32 % (22330)------------------------------ 6.05/1.32 % (22330)------------------------------ 6.05/1.33 % (22444)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.05/1.34 % (22327)Time limit reached! 6.05/1.34 % (22327)------------------------------ 6.05/1.34 % (22327)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.05/1.34 % (22327)Termination reason: Time limit 6.05/1.34 6.05/1.34 % (22327)Memory used [KB]: 19957 6.05/1.34 % (22327)Time elapsed: 0.914 s 6.05/1.34 % (22327)------------------------------ 6.05/1.34 % (22327)------------------------------ 6.05/1.35 % (22323)Time limit reached! 6.05/1.35 % (22323)------------------------------ 6.05/1.35 % (22323)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.05/1.35 % (22323)Termination reason: Time limit 6.05/1.35 6.05/1.35 % (22323)Memory used [KB]: 15351 6.05/1.35 % (22323)Time elapsed: 0.928 s 6.05/1.35 % (22323)------------------------------ 6.05/1.35 % (22323)------------------------------ 6.05/1.37 % (22448)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 7.60/1.38 % (22450)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 7.72/1.40 % (22451)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 7.90/1.50 % (22450)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 8.59/1.53 % (22451)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 10.79/1.94 % (22339)Time limit reached! 10.79/1.94 % (22339)------------------------------ 10.79/1.94 % (22339)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 10.79/1.94 % (22339)Termination reason: Time limit 10.79/1.94 10.79/1.94 % (22339)Memory used [KB]: 16758 10.79/1.94 % (22339)Time elapsed: 1.520 s 10.79/1.94 % (22339)------------------------------ 10.79/1.94 % (22339)------------------------------ 10.79/1.99 % (22452)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 13.07/2.12 % (22350)First to succeed. 13.07/2.14 % (22350)Refutation found. Thanks to Tanya! 13.07/2.14 % SZS status Theorem for theBenchmark 13.07/2.14 % SZS output start Proof for theBenchmark 13.07/2.14 thf(type_def_6, type, set_Pr1847866567_state: $tType). 13.07/2.14 thf(type_def_7, type, produc1519776487_state: $tType). 13.07/2.14 thf(type_def_8, type, set_Pr2096893127_state: $tType). 13.07/2.14 thf(type_def_9, type, produc186437863_state: $tType). 13.07/2.14 thf(type_def_10, type, set_Pr1419004359_state: $tType). 13.07/2.14 thf(type_def_11, type, set_Pr135335153st_com: $tType). 13.07/2.14 thf(type_def_12, type, produc392316135_state: $tType). 13.07/2.14 thf(type_def_13, type, produc1440412305st_com: $tType). 13.07/2.14 thf(type_def_14, type, set_Pr1142642759_state: $tType). 13.07/2.14 thf(type_def_15, type, set_Pr2083163591st_com: $tType). 13.07/2.14 thf(type_def_16, type, produc1225889383_state: $tType). 13.07/2.14 thf(type_def_17, type, produc1762014951st_com: $tType). 13.07/2.14 thf(type_def_18, type, set_Pr1165141447_state: $tType). 13.07/2.14 thf(type_def_19, type, produc410756839_state: $tType). 13.07/2.14 thf(type_def_20, type, set_Pr1675528647om_com: $tType). 13.07/2.14 thf(type_def_21, type, produc1065433319om_com: $tType). 13.07/2.14 thf(type_def_22, type, set_Pr391631483_state: $tType). 13.07/2.14 thf(type_def_23, type, produc1393453339_state: $tType). 13.07/2.14 thf(type_def_24, type, produc2058209240st_com: $tType). 13.07/2.14 thf(type_def_25, type, set_Pr602326075st_com: $tType). 13.07/2.14 thf(type_def_26, type, list_P1040014977_state: $tType). 13.07/2.14 thf(type_def_27, type, set_Pr849496667_state: $tType). 13.07/2.14 thf(type_def_28, type, produc258871771st_com: $tType). 13.07/2.14 thf(type_def_29, type, set_Pr795498619_state: $tType). 13.07/2.14 thf(type_def_30, type, produc2041926651_state: $tType). 13.07/2.14 thf(type_def_31, type, set_Pr1822651163om_com: $tType). 13.07/2.14 thf(type_def_32, type, produc1115495963_state: $tType). 13.07/2.14 thf(type_def_33, type, product_prod_com_com: $tType). 13.07/2.14 thf(type_def_34, type, list_list_com: $tType). 13.07/2.14 thf(type_def_35, type, list_state: $tType). 13.07/2.14 thf(type_def_36, type, set_state: $tType). 13.07/2.14 thf(type_def_37, type, list_com: $tType). 13.07/2.14 thf(type_def_38, type, set_nat: $tType). 13.07/2.14 thf(type_def_39, type, state: $tType). 13.07/2.14 thf(type_def_40, type, com: $tType). 13.07/2.14 thf(type_def_41, type, nat: $tType). 13.07/2.14 thf(func_def_42, type, zero_zero_nat: nat). 13.07/2.14 thf(type_def_43, type, >: ($tType * $tType) > $tType). 13.07/2.14 thf(func_def_44, type, append_list_com: list_list_com > list_list_com > list_list_com). 13.07/2.14 thf(func_def_45, type, append_com: list_com > list_com > list_com). 13.07/2.14 thf(func_def_46, type, append982487830_state: list_P1040014977_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.14 thf(func_def_47, type, bind_com_com: list_com > (com > list_com) > list_com). 13.07/2.14 thf(func_def_48, type, concat_com: list_list_com > list_com). 13.07/2.14 thf(func_def_49, type, gen_length_list_com: nat > list_list_com > nat). 13.07/2.14 thf(func_def_50, type, gen_length_com: nat > list_com > nat). 13.07/2.14 thf(func_def_51, type, gen_length_state: nat > list_state > nat). 13.07/2.14 thf(func_def_52, type, gen_le1266608782_state: nat > list_P1040014977_state > nat). 13.07/2.14 thf(func_def_53, type, insert_com: com > list_com > list_com). 13.07/2.14 thf(func_def_54, type, lenlex_com: set_Pr1822651163om_com > set_Pr602326075st_com). 13.07/2.14 thf(func_def_55, type, lenlex295247238_state: set_Pr1165141447_state > set_Pr1142642759_state). 13.07/2.14 thf(func_def_56, type, lex_com: set_Pr1822651163om_com > set_Pr602326075st_com). 13.07/2.14 thf(func_def_57, type, lex_Pr570247525_state: set_Pr1165141447_state > set_Pr1142642759_state). 13.07/2.14 thf(func_def_58, type, lexord_com: set_Pr1822651163om_com > set_Pr602326075st_com). 13.07/2.14 thf(func_def_59, type, lexord1062073966_state: set_Pr1165141447_state > set_Pr1142642759_state). 13.07/2.14 thf(func_def_60, type, cons_list_com: list_com > list_list_com > list_list_com). 13.07/2.14 thf(func_def_61, type, cons_com: com > list_com > list_com). 13.07/2.14 thf(func_def_62, type, cons_state: state > list_state > list_state). 13.07/2.14 thf(func_def_63, type, cons_P465369265_state: produc2041926651_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.14 thf(func_def_64, type, nil_list_com: list_list_com). 13.07/2.14 thf(func_def_65, type, nil_com: list_com). 13.07/2.14 thf(func_def_66, type, nil_state: list_state). 13.07/2.14 thf(func_def_67, type, nil_Pr1844458753_state: list_P1040014977_state). 13.07/2.14 thf(func_def_68, type, listrel1_com: set_Pr1822651163om_com > set_Pr602326075st_com). 13.07/2.14 thf(func_def_69, type, listre1738592858_state: set_Pr1165141447_state > set_Pr1142642759_state). 13.07/2.14 thf(func_def_70, type, listre1268245261_state: set_Pr849496667_state > set_Pr391631483_state). 13.07/2.14 thf(func_def_71, type, listrel_com_com: set_Pr1822651163om_com > set_Pr602326075st_com). 13.07/2.14 thf(func_def_72, type, listre194873521_state: set_Pr1165141447_state > set_Pr1142642759_state). 13.07/2.14 thf(func_def_73, type, maps_com_com: (com > list_com) > list_com > list_com). 13.07/2.14 thf(func_def_74, type, n_lists_com: nat > list_com > list_list_com). 13.07/2.14 thf(func_def_75, type, nths_com: list_com > set_nat > list_com). 13.07/2.14 thf(func_def_76, type, product_lists_com: list_list_com > list_list_com). 13.07/2.14 thf(func_def_77, type, rotate1_com: list_com > list_com). 13.07/2.14 thf(func_def_78, type, subseqs_com: list_com > list_list_com). 13.07/2.14 thf(func_def_79, type, suc: nat > nat). 13.07/2.14 thf(func_def_80, type, size_size_list_com: list_com > nat). 13.07/2.14 thf(func_def_81, type, size_s213202669_state: list_P1040014977_state > nat). 13.07/2.14 thf(func_def_82, type, pHoare259243666_exec1: set_Pr1165141447_state). 13.07/2.14 thf(func_def_83, type, pHoare202237534exec1p: list_com > state > list_com > state > $o). 13.07/2.14 thf(func_def_84, type, pHoare259243732_execs: state > list_com > state > $o). 13.07/2.14 thf(func_def_85, type, pHoare2126160787le_inf: list_com > state > $o). 13.07/2.14 thf(func_def_86, type, pHoare806997636termis: list_com > state > $o). 13.07/2.14 thf(func_def_87, type, cond: (state > $o) > com > com > com). 13.07/2.14 thf(func_def_88, type, do: (state > set_state) > com). 13.07/2.14 thf(func_def_89, type, semi: com > com > com). 13.07/2.14 thf(func_def_90, type, while: (state > $o) > com > com). 13.07/2.14 thf(func_def_91, type, exec: state > com > state > $o). 13.07/2.14 thf(func_def_92, type, termi: com > state > $o). 13.07/2.14 thf(func_def_93, type, produc1914379986st_com: (com > com > $o) > list_com > produc2058209240st_com). 13.07/2.14 thf(func_def_94, type, produc1742567891_state: list_list_com > list_state > produc1393453339_state). 13.07/2.14 thf(func_def_95, type, produc1307105171st_com: list_com > list_com > produc258871771st_com). 13.07/2.14 thf(func_def_96, type, produc1204172211_state: list_com > state > produc2041926651_state). 13.07/2.14 thf(func_def_97, type, produc1298457559_state: list_P1040014977_state > list_P1040014977_state > produc1225889383_state). 13.07/2.14 thf(func_def_98, type, product_Pair_com_com: com > com > product_prod_com_com). 13.07/2.14 thf(func_def_99, type, produc64584659_state: state > state > produc1115495963_state). 13.07/2.14 thf(func_def_100, type, produc67337417st_com: produc2058209240st_com > produc2058209240st_com > produc1440412305st_com). 13.07/2.14 thf(func_def_101, type, produc67381847_state: produc1393453339_state > produc1393453339_state > produc392316135_state). 13.07/2.14 thf(func_def_102, type, produc313736791st_com: produc258871771st_com > produc258871771st_com > produc1762014951st_com). 13.07/2.14 thf(func_def_103, type, produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state). 13.07/2.14 thf(func_def_104, type, produc984060759_state: produc1225889383_state > produc1225889383_state > produc1519776487_state). 13.07/2.14 thf(func_def_105, type, produc1140939351om_com: product_prod_com_com > product_prod_com_com > produc1065433319om_com). 13.07/2.14 thf(func_def_106, type, produc2065881943_state: produc410756839_state > produc410756839_state > produc186437863_state). 13.07/2.14 thf(func_def_107, type, irrefl_com: set_Pr1822651163om_com > $o). 13.07/2.14 thf(func_def_108, type, irrefl654089520_state: set_Pr1165141447_state > $o). 13.07/2.14 thf(func_def_109, type, collect_nat: (nat > $o) > set_nat). 13.07/2.14 thf(func_def_110, type, collect_state: (state > $o) > set_state). 13.07/2.14 thf(func_def_111, type, collec924674566_state: (produc1393453339_state > $o) > set_Pr391631483_state). 13.07/2.14 thf(func_def_112, type, collec328862150st_com: (produc258871771st_com > $o) > set_Pr602326075st_com). 13.07/2.14 thf(func_def_113, type, collec1409185766_state: (produc2041926651_state > $o) > set_Pr849496667_state). 13.07/2.14 thf(func_def_114, type, collec183560402_state: (produc1225889383_state > $o) > set_Pr1142642759_state). 13.07/2.14 thf(func_def_115, type, collec300063826_state: (produc410756839_state > $o) > set_Pr1165141447_state). 13.07/2.14 thf(func_def_116, type, transi436345274st_com: set_Pr602326075st_com > set_Pr602326075st_com). 13.07/2.14 thf(func_def_117, type, transi339813252_state: set_Pr1142642759_state > set_Pr1142642759_state). 13.07/2.14 thf(func_def_118, type, transi863150634cl_com: set_Pr1822651163om_com > set_Pr1822651163om_com). 13.07/2.14 thf(func_def_119, type, transi1592315797st_com: set_Pr135335153st_com > set_Pr135335153st_com). 13.07/2.14 thf(func_def_120, type, transi89280670_state: set_Pr1419004359_state > set_Pr1419004359_state). 13.07/2.14 thf(func_def_121, type, transi1782245470st_com: set_Pr2083163591st_com > set_Pr2083163591st_com). 13.07/2.14 thf(func_def_122, type, transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state). 13.07/2.14 thf(func_def_123, type, transi1428749162_state: set_Pr1847866567_state > set_Pr1847866567_state). 13.07/2.14 thf(func_def_124, type, transi1042416958om_com: set_Pr1675528647om_com > set_Pr1675528647om_com). 13.07/2.14 thf(func_def_125, type, transi463013610_state: set_Pr2096893127_state > set_Pr2096893127_state). 13.07/2.14 thf(func_def_126, type, same_f855297288_state: (list_com > $o) > (list_com > set_Pr795498619_state) > set_Pr1165141447_state). 13.07/2.14 thf(func_def_127, type, same_f1258458156_state: (produc2041926651_state > $o) > (produc2041926651_state > set_Pr1165141447_state) > set_Pr2096893127_state). 13.07/2.14 thf(func_def_128, type, member_nat: nat > set_nat > $o). 13.07/2.14 thf(func_def_129, type, member_state: state > set_state > $o). 13.07/2.14 thf(func_def_130, type, member1442949316_state: produc1393453339_state > set_Pr391631483_state > $o). 13.07/2.14 thf(func_def_131, type, member32358020st_com: produc258871771st_com > set_Pr602326075st_com > $o). 13.07/2.14 thf(func_def_132, type, member64234660_state: produc2041926651_state > set_Pr849496667_state > $o). 13.07/2.14 thf(func_def_133, type, member1267359376_state: produc1225889383_state > set_Pr1142642759_state > $o). 13.07/2.14 thf(func_def_134, type, member1333916004om_com: product_prod_com_com > set_Pr1822651163om_com > $o). 13.07/2.14 thf(func_def_135, type, member1389040324_state: produc1115495963_state > set_Pr795498619_state > $o). 13.07/2.14 thf(func_def_136, type, member89779770st_com: produc1440412305st_com > set_Pr135335153st_com > $o). 13.07/2.14 thf(func_def_137, type, member1414265872_state: produc392316135_state > set_Pr1419004359_state > $o). 13.07/2.14 thf(func_def_138, type, member919914512st_com: produc1762014951st_com > set_Pr2083163591st_com > $o). 13.07/2.14 thf(func_def_139, type, member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o). 13.07/2.14 thf(func_def_140, type, member2092727056_state: produc1519776487_state > set_Pr1847866567_state > $o). 13.07/2.14 thf(func_def_141, type, member2105207824om_com: produc1065433319om_com > set_Pr1675528647om_com > $o). 13.07/2.14 thf(func_def_142, type, member512523024_state: produc186437863_state > set_Pr2096893127_state > $o). 13.07/2.14 thf(func_def_143, type, a: list_com). 13.07/2.14 thf(func_def_144, type, b: state > $o). 13.07/2.14 thf(func_def_145, type, ba: state). 13.07/2.14 thf(func_def_146, type, c: com). 13.07/2.14 thf(func_def_147, type, cs: list_com). 13.07/2.14 thf(func_def_148, type, f: nat > produc2041926651_state). 13.07/2.14 thf(func_def_149, type, s: state). 13.07/2.14 thf(func_def_151, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 13.07/2.14 thf(func_def_154, type, vAND: $o > $o > $o). 13.07/2.14 thf(func_def_155, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 13.07/2.14 thf(func_def_156, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 13.07/2.14 thf(func_def_157, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 13.07/2.14 thf(func_def_158, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 13.07/2.14 thf(func_def_159, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 13.07/2.14 thf(func_def_160, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 13.07/2.14 thf(func_def_161, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 13.07/2.14 thf(func_def_162, type, vNOT: $o > $o). 13.07/2.14 thf(func_def_163, type, vOR: $o > $o > $o). 13.07/2.14 thf(func_def_164, type, sP0: list_com > list_com > state > (state > $o) > state > $o). 13.07/2.14 thf(func_def_165, type, sP1: com > list_com > list_com > state > (state > $o) > state > $o). 13.07/2.14 thf(func_def_166, type, sP2: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > $o). 13.07/2.14 thf(func_def_167, type, sP3: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > $o). 13.07/2.14 thf(func_def_168, type, sP4: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > $o). 13.07/2.14 thf(func_def_169, type, sK5: (nat > produc2041926651_state) > nat). 13.07/2.14 thf(func_def_170, type, sK6: set_Pr1165141447_state > produc2041926651_state > nat > produc2041926651_state). 13.07/2.14 thf(func_def_171, type, sK7: set_Pr1165141447_state > (nat > produc2041926651_state) > produc2041926651_state > nat). 13.07/2.14 thf(func_def_172, type, sK8: (nat > nat > $o) > nat). 13.07/2.14 thf(func_def_173, type, sK9: (nat > nat > $o) > nat). 13.07/2.14 thf(func_def_174, type, sK10: (nat > nat > $o) > nat). 13.07/2.14 thf(func_def_175, type, sK11: (nat > nat > $o) > nat). 13.07/2.14 thf(func_def_176, type, sK12: set_Pr1165141447_state > produc2041926651_state > nat > produc2041926651_state). 13.07/2.14 thf(func_def_177, type, sK13: set_Pr1165141447_state > (nat > produc2041926651_state) > produc2041926651_state > nat). 13.07/2.14 thf(func_def_178, type, sK14: (nat > $o) > nat). 13.07/2.14 thf(func_def_179, type, sK15: (nat > $o) > nat). 13.07/2.14 thf(func_def_180, type, sK16: (nat > $o) > nat). 13.07/2.14 thf(func_def_181, type, sK17: nat > nat). 13.07/2.14 thf(func_def_182, type, sK18: nat > nat). 13.07/2.14 thf(func_def_183, type, sK19: (state > $o) > (nat > state) > nat). 13.07/2.14 thf(func_def_184, type, sK20: com > (nat > state) > nat). 13.07/2.14 thf(func_def_185, type, sK21: (nat > state) > (state > $o) > nat). 13.07/2.14 thf(func_def_186, type, sK22: (nat > state) > com > nat). 13.07/2.14 thf(func_def_187, type, sK23: com > state > (state > $o) > state). 13.07/2.14 thf(func_def_188, type, sK24: ((com > com) > list_com > list_com > $o) > com > com). 13.07/2.14 thf(func_def_189, type, sK25: ((com > com) > list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_190, type, sK26: ((com > com) > list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_191, type, sK27: ((com > com) > list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_192, type, sK28: ((com > com) > list_com > list_com > $o) > com > com). 13.07/2.14 thf(func_def_193, type, sK29: ((com > com) > list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_194, type, sK30: list_com > com > list_com > list_com > list_com). 13.07/2.14 thf(func_def_195, type, sK31: list_com > list_com > list_com > com > list_com). 13.07/2.14 thf(func_def_196, type, sK32: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_197, type, sK33: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_198, type, sK34: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_199, type, sK35: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_200, type, sK36: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_201, type, sK37: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_202, type, sK38: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_203, type, sK39: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_204, type, sK40: ((com > com > $o) > list_com > $o) > com > com > $o). 13.07/2.14 thf(func_def_205, type, sK41: ((com > com > $o) > list_com > $o) > com). 13.07/2.14 thf(func_def_206, type, sK42: ((com > com > $o) > list_com > $o) > list_com). 13.07/2.14 thf(func_def_207, type, sK43: ((com > com > $o) > list_com > $o) > com > com > $o). 13.07/2.14 thf(func_def_208, type, sK44: ((com > com > $o) > list_com > $o) > com > com > $o). 13.07/2.14 thf(func_def_209, type, sK45: ((com > com > $o) > list_com > $o) > com). 13.07/2.14 thf(func_def_210, type, sK46: ((com > com > $o) > list_com > $o) > com). 13.07/2.14 thf(func_def_211, type, sK47: ((com > com > $o) > list_com > $o) > list_com). 13.07/2.14 thf(func_def_212, type, sK48: ((com > com > $o) > list_com > $o) > com > com > $o). 13.07/2.14 thf(func_def_213, type, sK49: ((com > com > $o) > list_com > $o) > com). 13.07/2.14 thf(func_def_214, type, sK50: ((com > com > $o) > list_com > $o) > com > com > $o). 13.07/2.14 thf(func_def_215, type, sK51: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_216, type, sK52: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_217, type, sK53: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_218, type, sK54: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_219, type, sK55: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_220, type, sK56: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_221, type, sK57: (list_com > list_com > $o) > com). 13.07/2.14 thf(func_def_222, type, sK58: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_223, type, sK59: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_224, type, sK60: (list_com > list_com > $o) > list_com). 13.07/2.14 thf(func_def_225, type, sK61: (list_com > $o) > com). 13.07/2.14 thf(func_def_226, type, sK62: (list_com > $o) > list_com). 13.07/2.14 thf(func_def_227, type, sK63: (list_com > $o) > com). 13.07/2.14 thf(func_def_228, type, sK64: (list_com > $o) > list_com). 13.07/2.14 thf(func_def_229, type, sK65: (list_com > $o) > com). 13.07/2.14 thf(func_def_230, type, sK66: (list_com > $o) > com). 13.07/2.14 thf(func_def_231, type, sK67: (list_com > $o) > list_com). 13.07/2.14 thf(func_def_232, type, sK68: (list_com > $o) > com). 13.07/2.14 thf(func_def_233, type, sK69: (list_com > $o) > com). 13.07/2.14 thf(func_def_234, type, sK70: (list_com > $o) > com). 13.07/2.14 thf(func_def_235, type, sK71: (list_com > $o) > list_com). 13.07/2.14 thf(func_def_236, type, sK72: (list_com > $o) > com). 13.07/2.14 thf(func_def_237, type, sK73: (list_com > $o) > com). 13.07/2.14 thf(func_def_238, type, sK74: (list_com > $o) > list_com). 13.07/2.14 thf(func_def_239, type, sK75: (list_com > $o) > com). 13.07/2.14 thf(func_def_240, type, sK76: (list_com > $o) > com). 13.07/2.14 thf(func_def_241, type, sK77: (list_com > $o) > list_com). 13.07/2.14 thf(func_def_242, type, sK78: (list_com > $o) > com). 13.07/2.14 thf(func_def_243, type, sK79: produc258871771st_com > com). 13.07/2.14 thf(func_def_244, type, sK80: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_245, type, sK81: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_246, type, sK82: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_247, type, sK83: produc258871771st_com > com). 13.07/2.14 thf(func_def_248, type, sK84: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_249, type, sK85: produc258871771st_com > com). 13.07/2.14 thf(func_def_250, type, sK86: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_251, type, sK87: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_252, type, sK88: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_253, type, sK89: list_com > list_com). 13.07/2.14 thf(func_def_254, type, sK90: list_com > com). 13.07/2.14 thf(func_def_255, type, sK91: list_com > com). 13.07/2.14 thf(func_def_256, type, sK92: list_com > list_com). 13.07/2.14 thf(func_def_257, type, sK93: list_com > com). 13.07/2.14 thf(func_def_258, type, sK94: list_com > com). 13.07/2.14 thf(func_def_259, type, sK95: list_com > list_com). 13.07/2.14 thf(func_def_260, type, sK96: list_com > com). 13.07/2.14 thf(func_def_261, type, sK97: list_com > com). 13.07/2.14 thf(func_def_262, type, sK98: list_com > list_com). 13.07/2.14 thf(func_def_263, type, sK99: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > list_com). 13.07/2.14 thf(func_def_264, type, sK100: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > state). 13.07/2.14 thf(func_def_265, type, sK101: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > list_com). 13.07/2.14 thf(func_def_266, type, sK102: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > state). 13.07/2.14 thf(func_def_267, type, sK103: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > list_com). 13.07/2.14 thf(func_def_268, type, sK104: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > state). 13.07/2.14 thf(func_def_269, type, sK105: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > list_com). 13.07/2.14 thf(func_def_270, type, sK106: (list_com > state > $o) > set_Pr1165141447_state > state > list_com > state). 13.07/2.14 thf(func_def_271, type, sK107: set_Pr1165141447_state > state > list_com > state > list_com > list_com). 13.07/2.14 thf(func_def_272, type, sK108: set_Pr1165141447_state > state > list_com > state > list_com > state). 13.07/2.14 thf(func_def_273, type, sK109: (produc410756839_state > $o) > produc2041926651_state). 13.07/2.14 thf(func_def_274, type, sK110: (produc410756839_state > $o) > list_com). 13.07/2.14 thf(func_def_275, type, sK111: (produc410756839_state > $o) > state). 13.07/2.14 thf(func_def_276, type, sK112: (produc2041926651_state > $o) > list_com). 13.07/2.14 thf(func_def_277, type, sK113: (produc2041926651_state > $o) > state). 13.07/2.14 thf(func_def_278, type, sK114: (produc2041926651_state > $o) > list_com). 13.07/2.14 thf(func_def_279, type, sK115: (produc2041926651_state > $o) > state). 13.07/2.14 thf(func_def_280, type, sK116: produc2041926651_state > list_com). 13.07/2.14 thf(func_def_281, type, sK117: produc2041926651_state > state). 13.07/2.14 thf(func_def_282, type, sK118: produc410756839_state > produc2041926651_state). 13.07/2.14 thf(func_def_283, type, sK119: produc410756839_state > list_com). 13.07/2.14 thf(func_def_284, type, sK120: produc410756839_state > state). 13.07/2.14 thf(func_def_285, type, sK121: produc2041926651_state > list_com). 13.07/2.14 thf(func_def_286, type, sK122: produc2041926651_state > state). 13.07/2.14 thf(func_def_287, type, sK123: (produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_288, type, sK124: (produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_289, type, sK125: (produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_290, type, sK126: (produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_291, type, sK127: (produc2041926651_state > produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state). 13.07/2.14 thf(func_def_292, type, sK128: (produc2041926651_state > produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state). 13.07/2.14 thf(func_def_293, type, sK129: (produc2041926651_state > produc2041926651_state > $o) > set_Pr1165141447_state > produc2041926651_state). 13.07/2.14 thf(func_def_294, type, sK130: (produc2041926651_state > produc2041926651_state > $o) > produc2041926651_state). 13.07/2.14 thf(func_def_295, type, sK131: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_296, type, sK132: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_297, type, sK133: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_298, type, sK134: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_299, type, sK135: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_300, type, sK136: set_Pr1165141447_state > produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_301, type, sK137: produc2041926651_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_302, type, sK138: (produc410756839_state > $o) > produc2041926651_state). 13.07/2.14 thf(func_def_303, type, sK139: (produc410756839_state > $o) > produc2041926651_state). 13.07/2.14 thf(func_def_304, type, sK140: (produc410756839_state > $o) > produc2041926651_state). 13.07/2.14 thf(func_def_305, type, sK141: (produc410756839_state > $o) > produc2041926651_state). 13.07/2.14 thf(func_def_306, type, sK142: produc410756839_state > produc2041926651_state). 13.07/2.14 thf(func_def_307, type, sK143: produc410756839_state > produc2041926651_state). 13.07/2.14 thf(func_def_308, type, sK144: produc410756839_state > produc2041926651_state). 13.07/2.14 thf(func_def_309, type, sK145: produc410756839_state > produc2041926651_state). 13.07/2.14 thf(func_def_310, type, sK146: (state > list_com > state > $o) > state). 13.07/2.14 thf(func_def_311, type, sK147: (state > list_com > state > $o) > com). 13.07/2.14 thf(func_def_312, type, sK148: (state > list_com > state > $o) > state). 13.07/2.14 thf(func_def_313, type, sK149: (state > list_com > state > $o) > list_com). 13.07/2.14 thf(func_def_314, type, sK150: (state > list_com > state > $o) > state). 13.07/2.14 thf(func_def_315, type, sK151: (state > list_com > state > $o) > state). 13.07/2.14 thf(func_def_316, type, sK152: state > list_com > state > com). 13.07/2.14 thf(func_def_317, type, sK153: state > list_com > state > state). 13.07/2.14 thf(func_def_318, type, sK154: state > list_com > state > list_com). 13.07/2.14 thf(func_def_319, type, sK155: com > state > com > state). 13.07/2.14 thf(func_def_320, type, sK156: state > list_com > com > state). 13.07/2.14 thf(func_def_321, type, sK157: list_com > list_com > list_com > list_com > list_com). 13.07/2.14 thf(func_def_322, type, sK158: (produc258871771st_com > $o) > list_com). 13.07/2.14 thf(func_def_323, type, sK159: (produc258871771st_com > $o) > list_com). 13.07/2.14 thf(func_def_324, type, sK160: (produc258871771st_com > $o) > list_com). 13.07/2.14 thf(func_def_325, type, sK161: (produc258871771st_com > $o) > list_com). 13.07/2.14 thf(func_def_326, type, sK162: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_327, type, sK163: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_328, type, sK164: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_329, type, sK165: produc258871771st_com > list_com). 13.07/2.14 thf(func_def_330, type, sK166: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > produc2041926651_state). 13.07/2.14 thf(func_def_331, type, sK167: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state). 13.07/2.14 thf(func_def_332, type, sK168: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > produc2041926651_state). 13.07/2.14 thf(func_def_333, type, sK169: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.14 thf(func_def_334, type, sK170: (list_P1040014977_state > list_P1040014977_state > $o) > set_Pr1165141447_state > produc2041926651_state). 13.07/2.14 thf(func_def_335, type, sK171: (list_P1040014977_state > list_P1040014977_state > $o) > set_Pr1165141447_state > produc2041926651_state). 13.07/2.14 thf(func_def_336, type, sK172: (list_P1040014977_state > list_P1040014977_state > $o) > set_Pr1165141447_state > list_P1040014977_state). 13.07/2.14 thf(func_def_337, type, sK173: (list_P1040014977_state > list_P1040014977_state > $o) > set_Pr1165141447_state > list_P1040014977_state). 13.07/2.15 thf(func_def_338, type, sK174: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state). 13.07/2.15 thf(func_def_339, type, sK175: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > produc2041926651_state). 13.07/2.15 thf(func_def_340, type, sK176: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > list_P1040014977_state). 13.07/2.15 thf(func_def_341, type, sK177: list_P1040014977_state > list_P1040014977_state > set_Pr1165141447_state > list_P1040014977_state). 13.07/2.15 thf(func_def_342, type, sK178: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state). 13.07/2.15 thf(func_def_343, type, sK179: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state). 13.07/2.15 thf(func_def_344, type, sK180: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.15 thf(func_def_345, type, sK181: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.15 thf(func_def_346, type, sK182: (produc1225889383_state > $o) > list_P1040014977_state). 13.07/2.15 thf(func_def_347, type, sK183: (produc1225889383_state > $o) > list_P1040014977_state). 13.07/2.15 thf(func_def_348, type, sK184: (produc1225889383_state > $o) > list_P1040014977_state). 13.07/2.15 thf(func_def_349, type, sK185: (produc1225889383_state > $o) > list_P1040014977_state). 13.07/2.15 thf(func_def_350, type, sK186: produc1225889383_state > list_P1040014977_state). 13.07/2.15 thf(func_def_351, type, sK187: produc1225889383_state > list_P1040014977_state). 13.07/2.15 thf(func_def_352, type, sK188: produc1225889383_state > list_P1040014977_state). 13.07/2.15 thf(func_def_353, type, sK189: produc1225889383_state > list_P1040014977_state). 13.07/2.15 thf(func_def_354, type, sK190: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state). 13.07/2.15 thf(func_def_355, type, sK191: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state > produc2041926651_state). 13.07/2.15 thf(func_def_356, type, sK192: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.15 thf(func_def_357, type, sK193: set_Pr1165141447_state > list_P1040014977_state > produc2041926651_state > list_P1040014977_state > produc2041926651_state). 13.07/2.15 thf(func_def_358, type, sK194: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state). 13.07/2.15 thf(func_def_359, type, sK195: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > produc2041926651_state). 13.07/2.15 thf(func_def_360, type, sK196: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.15 thf(func_def_361, type, sK197: set_Pr1165141447_state > list_P1040014977_state > list_P1040014977_state > list_P1040014977_state). 13.07/2.15 thf(func_def_362, type, sK198: set_Pr1142642759_state > list_P1040014977_state > nat > list_P1040014977_state). 13.07/2.15 thf(func_def_363, type, sK199: set_Pr1142642759_state > (nat > list_P1040014977_state) > list_P1040014977_state > nat). 13.07/2.15 thf(func_def_364, type, sK200: set_Pr1142642759_state > list_P1040014977_state > nat > list_P1040014977_state). 13.07/2.15 thf(func_def_365, type, sK201: set_Pr1142642759_state > (nat > list_P1040014977_state) > list_P1040014977_state > nat). 13.07/2.15 thf(func_def_366, type, sK202: set_Pr1165141447_state > produc2041926651_state). 13.07/2.15 thf(func_def_367, type, sK203: set_Pr1165141447_state > produc2041926651_state). 13.07/2.15 thf(func_def_368, type, sK204: set_Pr1165141447_state > produc2041926651_state). 13.07/2.15 thf(func_def_369, type, sK205: (state > $o) > (state > $o) > state). 13.07/2.15 thf(func_def_371, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 13.07/2.15 thf(func_def_372, type, vIMP: $o > $o > $o). 13.07/2.15 thf(func_def_376, type, sK207: state). 13.07/2.15 thf(func_def_377, type, sK208: produc2041926651_state > state). 13.07/2.15 thf(func_def_378, type, sK209: set_state > state). 13.07/2.15 thf(func_def_379, type, sK210: state). 13.07/2.15 thf(func_def_380, type, sK211: produc2041926651_state > state). 13.07/2.15 thf(f7002,plain,( 13.07/2.15 $false), 13.07/2.15 inference(subsumption_resolution,[],[f6975,f1439])). 13.07/2.15 thf(f1439,plain,( 13.07/2.15 ((f @ (suc @ zero_zero_nat)) = ((produc1204172211_state @ a) @ ba))), 13.07/2.15 inference(cnf_transformation,[],[f316])). 13.07/2.15 thf(f316,axiom,( 13.07/2.15 ((f @ (suc @ zero_zero_nat)) = ((produc1204172211_state @ a) @ ba))), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)). 13.07/2.15 thf(f6975,plain,( 13.07/2.15 ((f @ (suc @ zero_zero_nat)) != ((produc1204172211_state @ a) @ ba))), 13.07/2.15 inference(trivial_inequality_removal,[],[f6974])). 13.07/2.15 thf(f6974,plain,( 13.07/2.15 ($true != $true) | ((f @ (suc @ zero_zero_nat)) != ((produc1204172211_state @ a) @ ba))), 13.07/2.15 inference(superposition,[],[f6593,f1441])). 13.07/2.15 thf(f1441,plain,( 13.07/2.15 ( ! [X0 : nat] : (($true = ((member1069318160_state @ ((produc1909270103_state @ (f @ X0)) @ (f @ (suc @ X0)))) @ pHoare259243666_exec1))) )), 13.07/2.15 inference(cnf_transformation,[],[f360])). 13.07/2.15 thf(f360,plain,( 13.07/2.15 ! [X0 : nat] : ($true = ((member1069318160_state @ ((produc1909270103_state @ (f @ X0)) @ (f @ (suc @ X0)))) @ pHoare259243666_exec1))), 13.07/2.15 inference(fool_elimination,[],[f359])). 13.07/2.15 thf(f359,plain,( 13.07/2.15 ! [X0 : nat] : ((member1069318160_state @ ((produc1909270103_state @ (f @ X0)) @ (f @ (suc @ X0)))) @ pHoare259243666_exec1)), 13.07/2.15 inference(rectify,[],[f162])). 13.07/2.15 thf(f162,axiom,( 13.07/2.15 ! [X39 : nat] : ((member1069318160_state @ ((produc1909270103_state @ (f @ X39)) @ (f @ (suc @ X39)))) @ pHoare259243666_exec1)), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)). 13.07/2.15 thf(f6593,plain,( 13.07/2.15 ( ! [X6 : $tType,X8 : nat > X6,X7 : X6 > produc2041926651_state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (X7 @ (X8 @ (sK5 @ ((bCOMB @ X7) @ X8))))) @ (X7 @ (X8 @ (suc @ (sK5 @ ((bCOMB @ X7) @ X8))))))) @ pHoare259243666_exec1)) | (((produc1204172211_state @ a) @ ba) != (X7 @ (X8 @ zero_zero_nat)))) )), 13.07/2.15 inference(combinator_demodulation,[],[f6590])). 13.07/2.15 thf(f6590,plain,( 13.07/2.15 ( ! [X6 : $tType,X8 : nat > X6,X7 : X6 > produc2041926651_state] : ((((produc1204172211_state @ a) @ ba) != (X7 @ (X8 @ zero_zero_nat))) | ($true != ((member1069318160_state @ ((produc1909270103_state @ (((bCOMB @ X7) @ X8) @ (sK5 @ ((bCOMB @ X7) @ X8)))) @ (((bCOMB @ X7) @ X8) @ (suc @ (sK5 @ ((bCOMB @ X7) @ X8)))))) @ pHoare259243666_exec1))) )), 13.07/2.15 inference(bxx_narrow,[],[f6556])). 13.07/2.15 thf(f6556,plain,( 13.07/2.15 ( ! [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ a) @ ba) != (X0 @ zero_zero_nat)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ (sK5 @ X0))) @ (X0 @ (suc @ (sK5 @ X0))))) @ pHoare259243666_exec1))) )), 13.07/2.15 inference(backward_demodulation,[],[f2428,f6551])). 13.07/2.15 thf(f6551,plain,( 13.07/2.15 (a = ((cons_com @ c) @ (sK116 @ (f @ zero_zero_nat))))), 13.07/2.15 inference(trivial_inequality_removal,[],[f6550])). 13.07/2.15 thf(f6550,plain,( 13.07/2.15 ($true != $true) | (a = ((cons_com @ c) @ (sK116 @ (f @ zero_zero_nat))))), 13.07/2.15 inference(superposition,[],[f6506,f1920])). 13.07/2.15 thf(f1920,plain,( 13.07/2.15 ($true = ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ a) @ ba))) @ pHoare259243666_exec1))), 13.07/2.15 inference(superposition,[],[f1441,f1439])). 13.07/2.15 thf(f6506,plain,( 13.07/2.15 ( ! [X169 : list_com,X170 : state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ X169) @ X170))) @ pHoare259243666_exec1)) | (((cons_com @ c) @ (sK116 @ (f @ zero_zero_nat))) = X169)) )), 13.07/2.15 inference(backward_demodulation,[],[f5915,f2426])). 13.07/2.15 thf(f2426,plain,( 13.07/2.15 (((cons_com @ ((while @ b) @ c)) @ cs) = (sK116 @ (f @ zero_zero_nat)))), 13.07/2.15 inference(trivial_inequality_removal,[],[f2423])). 13.07/2.15 thf(f2423,plain,( 13.07/2.15 ((f @ zero_zero_nat) != (f @ zero_zero_nat)) | (((cons_com @ ((while @ b) @ c)) @ cs) = (sK116 @ (f @ zero_zero_nat)))), 13.07/2.15 inference(superposition,[],[f1962,f2240])). 13.07/2.15 thf(f2240,plain,( 13.07/2.15 ((f @ zero_zero_nat) = ((produc1204172211_state @ (sK116 @ (f @ zero_zero_nat))) @ ba))), 13.07/2.15 inference(backward_demodulation,[],[f2009,f2229])). 13.07/2.15 thf(f2229,plain,( 13.07/2.15 (s = ba)), 13.07/2.15 inference(trivial_inequality_removal,[],[f2228])). 13.07/2.15 thf(f2228,plain,( 13.07/2.15 ($true != $true) | (s = ba)), 13.07/2.15 inference(superposition,[],[f1995,f1920])). 13.07/2.15 thf(f1995,plain,( 13.07/2.15 ( ! [X171 : list_com,X172 : state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ X171) @ X172))) @ pHoare259243666_exec1)) | (s = X172)) )), 13.07/2.15 inference(subsumption_resolution,[],[f1991,f1467])). 13.07/2.15 thf(f1467,plain,( 13.07/2.15 ( ! [X4 : list_com,X2 : state,X0 : state,X3 : list_com,X1 : state > $o] : (($true != (((((sP0 @ X4) @ X3) @ X2) @ X1) @ X0)) | (X0 = X2)) )), 13.07/2.15 inference(cnf_transformation,[],[f1175])). 13.07/2.15 thf(f1175,plain,( 13.07/2.15 ! [X0 : state,X1 : state > $o,X2 : state,X3 : list_com,X4 : list_com] : ((($true != (X1 @ X0)) & (X0 = X2) & (X3 = X4)) | ($true != (((((sP0 @ X4) @ X3) @ X2) @ X1) @ X0)))), 13.07/2.15 inference(rectify,[],[f1174])). 13.07/2.15 thf(f1174,plain,( 13.07/2.15 ! [X3 : state,X0 : state > $o,X5 : state,X4 : list_com,X2 : list_com] : ((($true != (X0 @ X3)) & (X3 = X5) & (X2 = X4)) | ($true != (((((sP0 @ X2) @ X4) @ X5) @ X0) @ X3)))), 13.07/2.15 inference(nnf_transformation,[],[f1138])). 13.07/2.15 thf(f1138,plain,( 13.07/2.15 ! [X3 : state,X0 : state > $o,X5 : state,X4 : list_com,X2 : list_com] : ((($true != (X0 @ X3)) & (X3 = X5) & (X2 = X4)) | ~($true = (((((sP0 @ X2) @ X4) @ X5) @ X0) @ X3)))), 13.07/2.15 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 13.07/2.15 thf(f1991,plain,( 13.07/2.15 ( ! [X171 : list_com,X172 : state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ X171) @ X172))) @ pHoare259243666_exec1)) | ($true = (((((sP0 @ cs) @ X171) @ X172) @ b) @ s)) | (s = X172)) )), 13.07/2.15 inference(superposition,[],[f1470,f1440])). 13.07/2.15 thf(f1440,plain,( 13.07/2.15 ((f @ zero_zero_nat) = ((produc1204172211_state @ ((cons_com @ ((while @ b) @ c)) @ cs)) @ s))), 13.07/2.15 inference(cnf_transformation,[],[f253])). 13.07/2.15 thf(f253,axiom,( 13.07/2.15 ((f @ zero_zero_nat) = ((produc1204172211_state @ ((cons_com @ ((while @ b) @ c)) @ cs)) @ s))), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 13.07/2.15 thf(f1470,plain,( 13.07/2.15 ( ! [X4 : list_com,X2 : list_com,X0 : state > $o,X5 : state,X3 : state,X1 : com] : (($true != ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)) | ($true = (((((sP0 @ X2) @ X4) @ X5) @ X0) @ X3)) | (X3 = X5)) )), 13.07/2.15 inference(cnf_transformation,[],[f1139])). 13.07/2.15 thf(f1139,plain,( 13.07/2.15 ! [X0 : state > $o,X1 : com,X2 : list_com,X3 : state,X4 : list_com,X5 : state] : ((($true = (X0 @ X3)) & (X3 = X5) & (((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4)) | ($true = (((((sP0 @ X2) @ X4) @ X5) @ X0) @ X3)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)))), 13.07/2.15 inference(definition_folding,[],[f963,f1138])). 13.07/2.15 thf(f963,plain,( 13.07/2.15 ! [X0 : state > $o,X1 : com,X2 : list_com,X3 : state,X4 : list_com,X5 : state] : ((($true = (X0 @ X3)) & (X3 = X5) & (((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4)) | (($true != (X0 @ X3)) & (X3 = X5) & (X2 = X4)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)))), 13.07/2.15 inference(flattening,[],[f962])). 13.07/2.15 thf(f962,plain,( 13.07/2.15 ! [X0 : state > $o,X1 : com,X2 : list_com,X3 : state,X4 : list_com,X5 : state] : ((((($true = (X0 @ X3)) & (X3 = X5)) & (((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4)) | ((($true != (X0 @ X3)) & (X3 = X5)) & (X2 = X4))) | ($true != ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)))), 13.07/2.15 inference(ennf_transformation,[],[f875])). 13.07/2.15 thf(f875,plain,( 13.07/2.15 ! [X0 : state > $o,X1 : com,X2 : list_com,X3 : state,X4 : list_com,X5 : state] : (($true = ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)) => (((X2 = X4) => ((X3 = X5) => ($true = (X0 @ X3)))) => ~((((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4) => ((X3 = X5) => ($true != (X0 @ X3))))))), 13.07/2.15 inference(flattening,[],[f858])). 13.07/2.15 thf(f858,plain,( 13.07/2.15 ! [X0 : state > $o,X1 : com,X2 : list_com,X3 : state,X4 : list_com,X5 : state] : (($true = ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)) => (((X2 = X4) => ((X3 = X5) => ($true = (X0 @ X3)))) => ~((((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4) => ((X3 = X5) => ~($true = (X0 @ X3))))))), 13.07/2.15 inference(fool_elimination,[],[f857])). 13.07/2.15 thf(f857,plain,( 13.07/2.15 ! [X0 : state > $o,X1 : com,X2 : list_com,X3 : state,X4 : list_com,X5 : state] : (((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1) => (((X2 = X4) => ((X3 = X5) => (X0 @ X3))) => ~((((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4) => ((X3 = X5) => ~(X0 @ X3)))))), 13.07/2.15 inference(rectify,[],[f75])). 13.07/2.15 thf(f75,axiom,( 13.07/2.15 ! [X0 : state > $o,X2 : com,X29 : list_com,X1 : state,X30 : list_com,X31 : state] : (((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X2)) @ X29)) @ X1)) @ ((produc1204172211_state @ X30) @ X31))) @ pHoare259243666_exec1) => (((X29 = X30) => ((X1 = X31) => (X0 @ X1))) => ~((((cons_com @ X2) @ ((cons_com @ ((while @ X0) @ X2)) @ X29)) = X30) => ((X1 = X31) => ~(X0 @ X1)))))), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_exec1E_I5_J)). 13.07/2.15 thf(f2009,plain,( 13.07/2.15 ((f @ zero_zero_nat) = ((produc1204172211_state @ (sK116 @ (f @ zero_zero_nat))) @ s))), 13.07/2.15 inference(equality_resolution,[],[f2007])). 13.07/2.15 thf(f2007,plain,( 13.07/2.15 ( ! [X0 : produc2041926651_state] : (((f @ zero_zero_nat) != X0) | (((produc1204172211_state @ (sK116 @ X0)) @ s) = X0)) )), 13.07/2.15 inference(superposition,[],[f1574,f1997])). 13.07/2.15 thf(f1997,plain,( 13.07/2.15 ( ! [X0 : produc2041926651_state] : ((s = (sK117 @ X0)) | ((f @ zero_zero_nat) != X0)) )), 13.07/2.15 inference(superposition,[],[f1964,f1574])). 13.07/2.15 thf(f1964,plain,( 13.07/2.15 ( ! [X107 : state,X106 : list_com] : (((f @ zero_zero_nat) != ((produc1204172211_state @ X106) @ X107)) | (s = X107)) )), 13.07/2.15 inference(superposition,[],[f1562,f1440])). 13.07/2.15 thf(f1562,plain,( 13.07/2.15 ( ! [X2 : list_com,X0 : list_com,X3 : state,X1 : state] : ((((produc1204172211_state @ X0) @ X1) != ((produc1204172211_state @ X2) @ X3)) | (X1 = X3)) )), 13.07/2.15 inference(cnf_transformation,[],[f1023])). 13.07/2.15 thf(f1023,plain,( 13.07/2.15 ! [X0 : list_com,X1 : state,X2 : list_com,X3 : state] : (((X1 = X3) & (X0 = X2)) | (((produc1204172211_state @ X0) @ X1) != ((produc1204172211_state @ X2) @ X3)))), 13.07/2.15 inference(ennf_transformation,[],[f895])). 13.07/2.15 thf(f895,plain,( 13.07/2.15 ! [X0 : list_com,X1 : state,X2 : list_com,X3 : state] : ((((produc1204172211_state @ X0) @ X1) = ((produc1204172211_state @ X2) @ X3)) => ~((X0 = X2) => (X1 != X3)))), 13.07/2.15 inference(rectify,[],[f204])). 13.07/2.15 thf(f204,axiom,( 13.07/2.15 ! [X15 : list_com,X0 : state,X90 : list_com,X91 : state] : ((((produc1204172211_state @ X15) @ X0) = ((produc1204172211_state @ X90) @ X91)) => ~((X15 = X90) => (X0 != X91)))), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_Pair__inject)). 13.07/2.15 thf(f1574,plain,( 13.07/2.15 ( ! [X0 : produc2041926651_state] : ((((produc1204172211_state @ (sK116 @ X0)) @ (sK117 @ X0)) = X0)) )), 13.07/2.15 inference(cnf_transformation,[],[f1287])). 13.07/2.15 thf(f1287,plain,( 13.07/2.15 ! [X0 : produc2041926651_state] : (((produc1204172211_state @ (sK116 @ X0)) @ (sK117 @ X0)) = X0)), 13.07/2.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK116,sK117])],[f897,f1286])). 13.07/2.15 thf(f1286,plain,( 13.07/2.15 ! [X0 : produc2041926651_state] : (? [X1 : list_com,X2 : state] : (((produc1204172211_state @ X1) @ X2) = X0) => (((produc1204172211_state @ (sK116 @ X0)) @ (sK117 @ X0)) = X0))), 13.07/2.15 introduced(choice_axiom,[])). 13.07/2.15 thf(f897,plain,( 13.07/2.15 ! [X0 : produc2041926651_state] : ? [X1 : list_com,X2 : state] : (((produc1204172211_state @ X1) @ X2) = X0)), 13.07/2.15 inference(rectify,[],[f312])). 13.07/2.15 thf(f312,axiom,( 13.07/2.15 ! [X59 : produc2041926651_state] : ? [X23 : list_com,X16 : state] : (((produc1204172211_state @ X23) @ X16) = X59)), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_surj__pair)). 13.07/2.15 thf(f1962,plain,( 13.07/2.15 ( ! [X103 : state,X102 : list_com] : (((f @ zero_zero_nat) != ((produc1204172211_state @ X102) @ X103)) | (((cons_com @ ((while @ b) @ c)) @ cs) = X102)) )), 13.07/2.15 inference(superposition,[],[f1561,f1440])). 13.07/2.15 thf(f1561,plain,( 13.07/2.15 ( ! [X2 : list_com,X0 : list_com,X3 : state,X1 : state] : ((((produc1204172211_state @ X0) @ X1) != ((produc1204172211_state @ X2) @ X3)) | (X0 = X2)) )), 13.07/2.15 inference(cnf_transformation,[],[f1023])). 13.07/2.15 thf(f5915,plain,( 13.07/2.15 ( ! [X169 : list_com,X170 : state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ X169) @ X170))) @ pHoare259243666_exec1)) | (((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs)) = X169)) )), 13.07/2.15 inference(subsumption_resolution,[],[f5914,f2257])). 13.07/2.15 thf(f2257,plain,( 13.07/2.15 ( ! [X2 : state,X0 : list_com,X1 : list_com] : (($true != (((((sP0 @ X0) @ X1) @ X2) @ b) @ ba))) )), 13.07/2.15 inference(trivial_inequality_removal,[],[f2242])). 13.07/2.15 thf(f2242,plain,( 13.07/2.15 ( ! [X2 : state,X0 : list_com,X1 : list_com] : (($true != $true) | ($true != (((((sP0 @ X0) @ X1) @ X2) @ b) @ ba))) )), 13.07/2.15 inference(superposition,[],[f1468,f2230])). 13.07/2.15 thf(f2230,plain,( 13.07/2.15 ($true = (b @ ba))), 13.07/2.15 inference(backward_demodulation,[],[f1437,f2229])). 13.07/2.15 thf(f1437,plain,( 13.07/2.15 ((b @ s) = $true)), 13.07/2.15 inference(cnf_transformation,[],[f1149])). 13.07/2.15 thf(f1149,plain,( 13.07/2.15 ! [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s) != (X0 @ zero_zero_nat)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ (sK5 @ X0))) @ (X0 @ (suc @ (sK5 @ X0))))) @ pHoare259243666_exec1))) & ((b @ s) = $true)), 13.07/2.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f947,f1148])). 13.07/2.15 thf(f1148,plain,( 13.07/2.15 ! [X0 : nat > produc2041926651_state] : (? [X1 : nat] : ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ X1)) @ (X0 @ (suc @ X1)))) @ pHoare259243666_exec1)) => ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ (sK5 @ X0))) @ (X0 @ (suc @ (sK5 @ X0))))) @ pHoare259243666_exec1)))), 13.07/2.15 introduced(choice_axiom,[])). 13.07/2.15 thf(f947,plain,( 13.07/2.15 ! [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s) != (X0 @ zero_zero_nat)) | ? [X1 : nat] : ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ X1)) @ (X0 @ (suc @ X1)))) @ pHoare259243666_exec1))) & ((b @ s) = $true)), 13.07/2.15 inference(ennf_transformation,[],[f865])). 13.07/2.15 thf(f865,plain,( 13.07/2.15 ~(? [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s) = (X0 @ zero_zero_nat)) & ! [X1 : nat] : ($true = ((member1069318160_state @ ((produc1909270103_state @ (X0 @ X1)) @ (X0 @ (suc @ X1)))) @ pHoare259243666_exec1))) | ((b @ s) != $true))), 13.07/2.15 inference(flattening,[],[f358])). 13.07/2.15 thf(f358,plain,( 13.07/2.15 ~(? [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s) = (X0 @ zero_zero_nat)) & ! [X1 : nat] : ($true = ((member1069318160_state @ ((produc1909270103_state @ (X0 @ X1)) @ (X0 @ (suc @ X1)))) @ pHoare259243666_exec1))) | ~((b @ s) = $true))), 13.07/2.15 inference(fool_elimination,[],[f357])). 13.07/2.15 thf(f357,plain,( 13.07/2.15 ~(? [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s) = (X0 @ zero_zero_nat)) & ! [X1 : nat] : ((member1069318160_state @ ((produc1909270103_state @ (X0 @ X1)) @ (X0 @ (suc @ X1)))) @ pHoare259243666_exec1)) | ~(b @ s))), 13.07/2.15 inference(rectify,[],[f170])). 13.07/2.15 thf(f170,negated_conjecture,( 13.07/2.15 ~(? [X122 : nat > produc2041926651_state] : (((X122 @ zero_zero_nat) = ((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s)) & ! [X37 : nat] : ((member1069318160_state @ ((produc1909270103_state @ (X122 @ X37)) @ (X122 @ (suc @ X37)))) @ pHoare259243666_exec1)) | ~(b @ s))), 13.07/2.15 inference(negated_conjecture,[],[f169])). 13.07/2.15 thf(f169,conjecture,( 13.07/2.15 ? [X122 : nat > produc2041926651_state] : (((X122 @ zero_zero_nat) = ((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s)) & ! [X37 : nat] : ((member1069318160_state @ ((produc1909270103_state @ (X122 @ X37)) @ (X122 @ (suc @ X37)))) @ pHoare259243666_exec1)) | ~(b @ s)), 13.07/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)). 13.07/2.15 thf(f1468,plain,( 13.07/2.15 ( ! [X4 : list_com,X2 : state,X0 : state,X3 : list_com,X1 : state > $o] : (($true != (X1 @ X0)) | ($true != (((((sP0 @ X4) @ X3) @ X2) @ X1) @ X0))) )), 13.07/2.15 inference(cnf_transformation,[],[f1175])). 13.07/2.15 thf(f5914,plain,( 13.07/2.15 ( ! [X169 : list_com,X170 : state] : (($true = (((((sP0 @ cs) @ X169) @ X170) @ b) @ ba)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ X169) @ X170))) @ pHoare259243666_exec1)) | (((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs)) = X169)) )), 13.07/2.15 inference(forward_demodulation,[],[f1990,f2229])). 13.07/2.15 thf(f1990,plain,( 13.07/2.15 ( ! [X169 : list_com,X170 : state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (f @ zero_zero_nat)) @ ((produc1204172211_state @ X169) @ X170))) @ pHoare259243666_exec1)) | ($true = (((((sP0 @ cs) @ X169) @ X170) @ b) @ s)) | (((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs)) = X169)) )), 13.07/2.15 inference(superposition,[],[f1469,f1440])). 13.07/2.15 thf(f1469,plain,( 13.07/2.15 ( ! [X4 : list_com,X2 : list_com,X0 : state > $o,X5 : state,X3 : state,X1 : com] : (($true != ((member1069318160_state @ ((produc1909270103_state @ ((produc1204172211_state @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) @ X3)) @ ((produc1204172211_state @ X4) @ X5))) @ pHoare259243666_exec1)) | ($true = (((((sP0 @ X2) @ X4) @ X5) @ X0) @ X3)) | (((cons_com @ X1) @ ((cons_com @ ((while @ X0) @ X1)) @ X2)) = X4)) )), 13.07/2.15 inference(cnf_transformation,[],[f1139])). 13.07/2.15 thf(f2428,plain,( 13.07/2.15 ( ! [X0 : nat > produc2041926651_state] : (($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ (sK5 @ X0))) @ (X0 @ (suc @ (sK5 @ X0))))) @ pHoare259243666_exec1)) | ((X0 @ zero_zero_nat) != ((produc1204172211_state @ ((cons_com @ c) @ (sK116 @ (f @ zero_zero_nat)))) @ ba))) )), 13.07/2.15 inference(backward_demodulation,[],[f2231,f2426])). 13.07/2.15 thf(f2231,plain,( 13.07/2.15 ( ! [X0 : nat > produc2041926651_state] : (((X0 @ zero_zero_nat) != ((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ ba)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ (sK5 @ X0))) @ (X0 @ (suc @ (sK5 @ X0))))) @ pHoare259243666_exec1))) )), 13.07/2.15 inference(backward_demodulation,[],[f1438,f2229])). 13.07/2.15 thf(f1438,plain,( 13.07/2.15 ( ! [X0 : nat > produc2041926651_state] : ((((produc1204172211_state @ ((cons_com @ c) @ ((cons_com @ ((while @ b) @ c)) @ cs))) @ s) != (X0 @ zero_zero_nat)) | ($true != ((member1069318160_state @ ((produc1909270103_state @ (X0 @ (sK5 @ X0))) @ (X0 @ (suc @ (sK5 @ X0))))) @ pHoare259243666_exec1))) )), 13.07/2.15 inference(cnf_transformation,[],[f1149])). 13.07/2.15 % SZS output end Proof for theBenchmark 13.07/2.15 % (22350)------------------------------ 13.07/2.15 % (22350)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 13.07/2.15 % (22350)Termination reason: Refutation 13.07/2.15 13.07/2.15 % (22350)Memory used [KB]: 19957 13.07/2.15 % (22350)Time elapsed: 1.682 s 13.07/2.15 % (22350)------------------------------ 13.07/2.15 % (22350)------------------------------ 13.07/2.15 % (22304)Success in time 1.761 s 13.07/2.15 EOF