0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n007.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 14:16:34 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.35 This is a THF_ problem 0.13/0.35 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 Running in auto input_syntax mode. Trying TPTP 0.13/0.39 % (2068)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 0.13/0.40 % (2064)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 0.13/0.40 % (2076)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 0.13/0.40 % (2076)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.40 % (2063)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 0.13/0.40 % (2060)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 0.13/0.40 % (2061)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 0.13/0.40 % (2062)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 0.13/0.41 % (2068)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.13/0.42 % (2084)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 0.13/0.42 % (2083)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 0.13/0.42 % (2076)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.13/0.42 % (2064)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.42 % (2067)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 0.13/0.42 % (2087)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 0.13/0.42 % (2082)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 0.13/0.42 % (2085)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 0.13/0.42 % (2086)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 0.13/0.42 % (2084)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.43 % (2089)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 0.13/0.43 % (2067)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.13/0.43 % (2081)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 0.13/0.43 % (2075)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 0.13/0.43 % (2088)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 0.13/0.43 % (2062)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.13/0.43 % (2073)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 0.20/0.44 % (2078)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 0.20/0.44 % (2071)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 0.20/0.44 % (2080)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 0.20/0.44 % (2077)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 0.20/0.44 % (2074)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 0.20/0.44 % (2075)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.20/0.44 % (2079)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 0.20/0.44 % (2072)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 0.20/0.44 % (2070)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 0.20/0.44 % (2069)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 0.20/0.44 % (2066)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 0.20/0.45 % (2083)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.20/0.45 % (2065)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 0.20/0.45 % (2085)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.20/0.45 % (2073)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.20/0.45 % (2082)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.20/0.46 % (2077)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.20/0.47 % (2069)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.20/0.47 % (2066)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.20/0.47 % (2079)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.20/0.47 % (2069)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.20/0.57 % (2074)Refutation not found, incomplete strategy% (2074)------------------------------ 0.20/0.57 % (2074)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.20/0.57 % (2074)Termination reason: Refutation not found, incomplete strategy 0.20/0.57 0.20/0.57 % (2074)Memory used [KB]: 6652 0.20/0.57 % (2074)Time elapsed: 0.197 s 0.20/0.57 % (2074)------------------------------ 0.20/0.57 % (2074)------------------------------ 0.20/0.62 % (2090)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 5.21/1.08 % (2071)Time limit reached! 5.21/1.08 % (2071)------------------------------ 5.21/1.08 % (2071)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.21/1.09 % (2071)Termination reason: Time limit 5.21/1.09 % (2071)Termination phase: Saturation 5.21/1.09 5.21/1.09 % (2071)Memory used [KB]: 13688 5.21/1.09 % (2071)Time elapsed: 0.700 s 5.21/1.09 % (2071)------------------------------ 5.21/1.09 % (2071)------------------------------ 5.21/1.09 % (2063)Time limit reached! 5.21/1.09 % (2063)------------------------------ 5.21/1.09 % (2063)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.21/1.09 % (2063)Termination reason: Time limit 5.21/1.09 5.21/1.09 % (2063)Memory used [KB]: 16502 5.21/1.09 % (2063)Time elapsed: 0.719 s 5.21/1.09 % (2063)------------------------------ 5.21/1.09 % (2063)------------------------------ 5.21/1.10 % (2061)Time limit reached! 5.21/1.10 % (2061)------------------------------ 5.21/1.10 % (2061)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.72/1.11 % (2072)Time limit reached! 5.72/1.11 % (2072)------------------------------ 5.72/1.11 % (2072)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.72/1.11 % (2072)Termination reason: Time limit 5.72/1.11 % (2072)Termination phase: Saturation 5.72/1.11 5.72/1.11 % (2072)Memory used [KB]: 7931 5.72/1.11 % (2072)Time elapsed: 0.700 s 5.72/1.11 % (2072)------------------------------ 5.72/1.11 % (2072)------------------------------ 5.72/1.11 % (2060)Time limit reached! 5.72/1.11 % (2060)------------------------------ 5.72/1.11 % (2060)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 5.72/1.11 % (2060)Termination reason: Time limit 5.72/1.11 5.72/1.11 % (2060)Memory used [KB]: 6012 5.72/1.11 % (2060)Time elapsed: 0.729 s 5.72/1.11 % (2060)------------------------------ 5.72/1.11 % (2060)------------------------------ 5.72/1.12 % (2061)Termination reason: Time limit 5.72/1.12 5.72/1.12 % (2061)Memory used [KB]: 16247 5.72/1.12 % (2061)Time elapsed: 0.730 s 5.72/1.12 % (2061)------------------------------ 5.72/1.12 % (2061)------------------------------ 5.72/1.13 % (2091)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 5.72/1.15 % (2094)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 5.72/1.16 % (2092)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 5.72/1.16 % (2093)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 5.72/1.16 % (2092)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 5.72/1.17 % (2095)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:updr=off:uhcvi=on:thsq=on_125 on theBenchmark 5.72/1.17 % (2093)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.38/1.29 % (2069)Time limit reached! 6.38/1.29 % (2069)------------------------------ 6.38/1.29 % (2069)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.38/1.29 % (2069)Termination reason: Time limit 6.38/1.29 % (2069)Termination phase: Saturation 6.38/1.29 6.38/1.29 % (2069)Memory used [KB]: 15479 6.38/1.29 % (2069)Time elapsed: 0.900 s 6.38/1.29 % (2069)------------------------------ 6.38/1.29 % (2069)------------------------------ 6.38/1.30 % (2062)Time limit reached! 6.38/1.30 % (2062)------------------------------ 6.38/1.30 % (2062)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.38/1.30 % (2062)Termination reason: Time limit 6.38/1.30 6.38/1.30 % (2062)Memory used [KB]: 15607 6.38/1.30 % (2062)Time elapsed: 0.920 s 6.38/1.30 % (2062)------------------------------ 6.38/1.30 % (2062)------------------------------ 6.38/1.34 % (2096)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 7.70/1.36 % (2097)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 7.70/1.36 % (2097)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 7.94/1.38 % (2066)Time limit reached! 7.94/1.38 % (2066)------------------------------ 7.94/1.38 % (2066)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 7.94/1.38 % (2066)Termination reason: Time limit 7.94/1.38 7.94/1.38 % (2066)Memory used [KB]: 16886 7.94/1.38 % (2066)Time elapsed: 0.999 s 7.94/1.38 % (2066)------------------------------ 7.94/1.38 % (2066)------------------------------ 8.37/1.44 % (2098)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 8.37/1.44 % (2091)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 8.37/1.45 % (2098)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 10.66/1.89 % (2078)Time limit reached! 10.66/1.89 % (2078)------------------------------ 10.66/1.89 % (2078)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 10.66/1.89 % (2078)Termination reason: Time limit 10.66/1.89 % (2078)Termination phase: Saturation 10.66/1.89 10.66/1.89 % (2078)Memory used [KB]: 11129 10.66/1.89 % (2078)Time elapsed: 1.500 s 10.66/1.89 % (2078)------------------------------ 10.66/1.89 % (2078)------------------------------ 12.53/1.95 % (2099)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 13.49/2.10 % (2075)Time limit reached! 13.49/2.10 % (2075)------------------------------ 13.49/2.10 % (2075)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 13.49/2.10 % (2075)Termination reason: Time limit 13.49/2.10 % (2075)Termination phase: Saturation 13.49/2.10 13.49/2.10 % (2075)Memory used [KB]: 16375 13.49/2.10 % (2075)Time elapsed: 1.700 s 13.49/2.10 % (2075)------------------------------ 13.49/2.10 % (2075)------------------------------ 13.49/2.13 % (2100)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 15.65/2.39 % (2079)Time limit reached! 15.65/2.39 % (2079)------------------------------ 15.65/2.39 % (2079)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 15.65/2.39 % (2079)Termination reason: Time limit 15.65/2.39 % (2079)Termination phase: Saturation 15.65/2.39 15.65/2.39 % (2079)Memory used [KB]: 14456 15.65/2.39 % (2079)Time elapsed: 2.0000 s 15.65/2.39 % (2079)------------------------------ 15.65/2.39 % (2079)------------------------------ 15.65/2.41 % (2082)Time limit reached! 15.65/2.41 % (2082)------------------------------ 15.65/2.41 % (2082)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 15.65/2.41 % (2082)Termination reason: Time limit 15.65/2.41 15.65/2.41 % (2082)Memory used [KB]: 13304 15.65/2.41 % (2082)Time elapsed: 2.040 s 15.65/2.41 % (2082)------------------------------ 15.65/2.41 % (2082)------------------------------ 15.65/2.45 % (2101)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 16.21/2.47 % (2101)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 16.21/2.49 % (2102)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 16.21/2.50 % (2102)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 17.63/2.61 % (2073)Time limit reached! 17.63/2.61 % (2073)------------------------------ 17.63/2.61 % (2073)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 17.63/2.62 % (2073)Termination reason: Time limit 17.63/2.62 % (2073)Termination phase: Saturation 17.63/2.62 17.63/2.62 % (2073)Memory used [KB]: 19445 17.63/2.62 % (2073)Time elapsed: 2.200 s 17.63/2.62 % (2073)------------------------------ 17.63/2.62 % (2073)------------------------------ 17.82/2.67 % (2103)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 20.94/3.05 % (2084)First to succeed. 20.94/3.10 % (2084)Refutation found. Thanks to Tanya! 20.94/3.10 % SZS status Theorem for theBenchmark 20.94/3.10 % SZS output start Proof for theBenchmark 20.94/3.10 thf(type_def_6, type, del: $tType). 20.94/3.10 thf(func_def_7, type, bool: del). 20.94/3.10 thf(func_def_8, type, ind: del). 20.94/3.10 thf(type_def_9, type, >: ($tType * $tType) > $tType). 20.94/3.10 thf(func_def_10, type, arr: del > del > del). 20.94/3.10 thf(func_def_11, type, mem: $i > del > $o). 20.94/3.10 thf(func_def_12, type, ap: $i > $i > $i). 20.94/3.10 thf(func_def_13, type, lam: del > ($i > $i) > $i). 20.94/3.10 thf(func_def_14, type, p: $i > $o). 20.94/3.10 thf(func_def_15, type, inj__o: $o > $i). 20.94/3.10 thf(func_def_21, type, c_2Equotient_2E_2D_2D_3E: del > del > del > del > $i). 20.94/3.10 thf(func_def_22, type, c_2Equotient_2E_3D_3D_3D_3E: del > del > $i). 20.94/3.10 thf(func_def_23, type, c_2Equotient_2EQUOTIENT: del > del > $i). 20.94/3.10 thf(func_def_25, type, c_2Ebool_2E_21: del > $i). 20.94/3.10 thf(func_def_26, type, c_2Ecombin_2EW: del > del > $i). 20.94/3.10 thf(func_def_27, type, c_2Equotient_2Erespects: del > del > $i). 20.94/3.10 thf(func_def_28, type, c_2Emin_2E_3D: del > $i). 20.94/3.10 thf(func_def_29, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 20.94/3.10 thf(func_def_32, type, sK0: del). 20.94/3.10 thf(func_def_33, type, sK1: del). 20.94/3.10 thf(func_def_34, type, sK2: del). 20.94/3.10 thf(func_def_35, type, sK3: del). 20.94/3.10 thf(func_def_44, type, sK12: $i > $i > del > $i). 20.94/3.10 thf(func_def_46, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 20.94/3.10 thf(func_def_47, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 20.94/3.10 thf(func_def_48, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 20.94/3.10 thf(func_def_49, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 20.94/3.10 thf(func_def_50, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 20.94/3.10 thf(f4706,plain,( 20.94/3.10 $false), 20.94/3.10 inference(avatar_sat_refutation,[],[f325,f383,f528,f4488,f4705])). 20.94/3.10 thf(f4705,plain,( 20.94/3.10 ~spl13_1), 20.94/3.10 inference(avatar_contradiction_clause,[],[f4702])). 20.94/3.10 thf(f4702,plain,( 20.94/3.10 $false | ~spl13_1), 20.94/3.10 inference(unit_resulting_resolution,[],[f155,f154,f320,f1402,f688,f616,f303,f4685,f168])). 20.94/3.10 thf(f168,plain,( 20.94/3.10 ( ! [X6 : $i,X4 : $i,X2 : $i,X0 : del,X5 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X6))) | ($true != ((mem @ X6) @ X0)) | ($true != ((mem @ X5) @ X0)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1))) | ($true = (p @ ((ap @ ((ap @ X2) @ X6)) @ X6)))) )), 20.94/3.10 inference(cnf_transformation,[],[f137])). 20.94/3.10 thf(f137,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (! [X3] : (! [X4] : (! [X5] : (! [X6] : ((((($true = (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) & (((ap @ X3) @ X5) = ((ap @ X3) @ X6)) & ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X6)))) & (($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X6))) | ($true != (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) | (((ap @ X3) @ X5) != ((ap @ X3) @ X6)) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X5))))) | ($true != ((mem @ X6) @ X0))) | ($true != ((mem @ X5) @ X0))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0)))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(flattening,[],[f136])). 20.94/3.10 thf(f136,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (! [X3] : (! [X4] : (! [X5] : (! [X6] : ((((($true = (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) & (((ap @ X3) @ X5) = ((ap @ X3) @ X6)) & ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X6)))) & (($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X6))) | (($true != (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) | (((ap @ X3) @ X5) != ((ap @ X3) @ X6)) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))))) | ($true != ((mem @ X6) @ X0))) | ($true != ((mem @ X5) @ X0))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0)))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(nnf_transformation,[],[f114])). 20.94/3.10 thf(f114,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (! [X3] : (! [X4] : (! [X5] : (! [X6] : (((($true = (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) & (((ap @ X3) @ X5) = ((ap @ X3) @ X6)) & ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))) <=> ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X6)))) | ($true != ((mem @ X6) @ X0))) | ($true != ((mem @ X5) @ X0))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0)))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(flattening,[],[f113])). 20.94/3.10 thf(f113,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (! [X3] : (! [X4] : ((! [X5] : (! [X6] : (((($true = (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) & (((ap @ X3) @ X5) = ((ap @ X3) @ X6)) & ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))) <=> ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X6)))) | ($true != ((mem @ X6) @ X0))) | ($true != ((mem @ X5) @ X0))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4)))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0)))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1)))) | ($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(ennf_transformation,[],[f86])). 20.94/3.10 thf(f86,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (($true = ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) => ! [X3] : (($true = ((mem @ X3) @ ((arr @ X0) @ X1))) => ! [X4] : (($true = ((mem @ X4) @ ((arr @ X1) @ X0))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) => ! [X5] : (($true = ((mem @ X5) @ X0)) => ! [X6] : (($true = ((mem @ X6) @ X0)) => ((($true = (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) & (((ap @ X3) @ X5) = ((ap @ X3) @ X6)) & ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))) <=> ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X6))))))))))), 20.94/3.10 inference(fool_elimination,[],[f85])). 20.94/3.10 thf(f85,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool))) => ! [X3] : (((mem @ X3) @ ((arr @ X0) @ X1)) => ! [X4] : (((mem @ X4) @ ((arr @ X1) @ X0)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4)) => ! [X5] : (((mem @ X5) @ X0) => ! [X6] : (((mem @ X6) @ X0) => (((p @ ((ap @ ((ap @ X2) @ X6)) @ X6)) & (((ap @ X3) @ X5) = ((ap @ X3) @ X6)) & (p @ ((ap @ ((ap @ X2) @ X5)) @ X5))) <=> (p @ ((ap @ ((ap @ X2) @ X5)) @ X6)))))))))), 20.94/3.10 inference(rectify,[],[f36])). 20.94/3.10 thf(f36,axiom,( 20.94/3.10 ! [X5 : del,X7 : del,X26] : (((mem @ X26) @ ((arr @ X5) @ ((arr @ X5) @ bool))) => ! [X27] : (((mem @ X27) @ ((arr @ X5) @ X7)) => ! [X28] : (((mem @ X28) @ ((arr @ X7) @ X5)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X5) @ X7)) @ X26)) @ X27)) @ X28)) => ! [X29] : (((mem @ X29) @ X5) => ! [X30] : (((mem @ X30) @ X5) => (((p @ ((ap @ ((ap @ X26) @ X30)) @ X30)) & (((ap @ X27) @ X29) = ((ap @ X27) @ X30)) & (p @ ((ap @ ((ap @ X26) @ X29)) @ X29))) <=> (p @ ((ap @ ((ap @ X26) @ X29)) @ X30)))))))))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Equotient_2EQUOTIENT__REL)). 20.94/3.10 thf(f4685,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(trivial_inequality_removal,[],[f4684])). 20.94/3.10 thf(f4684,plain,( 20.94/3.10 ($true != $true) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(forward_demodulation,[],[f4683,f320])). 20.94/3.10 thf(f4683,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(trivial_inequality_removal,[],[f4682])). 20.94/3.10 thf(f4682,plain,( 20.94/3.10 (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(forward_demodulation,[],[f4681,f4496])). 20.94/3.10 thf(f4496,plain,( 20.94/3.10 (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ~spl13_1), 20.94/3.10 inference(unit_resulting_resolution,[],[f155,f154,f1402,f688,f616,f303,f320,f167])). 20.94/3.10 thf(f167,plain,( 20.94/3.10 ( ! [X6 : $i,X4 : $i,X2 : $i,X0 : del,X5 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X6))) | ($true != ((mem @ X6) @ X0)) | ($true != ((mem @ X5) @ X0)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1))) | (((ap @ X3) @ X5) = ((ap @ X3) @ X6))) )), 20.94/3.10 inference(cnf_transformation,[],[f137])). 20.94/3.10 thf(f4681,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))) | (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(forward_demodulation,[],[f4680,f2054])). 20.94/3.10 thf(f2054,plain,( 20.94/3.10 (((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11) = ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))), 20.94/3.10 inference(unit_resulting_resolution,[],[f1402,f155,f198])). 20.94/3.10 thf(f198,plain,( 20.94/3.10 ( ! [X2 : $i,X0 : del,X3 : $i,X1 : del] : ((((ap @ ((ap @ ((c_2Ecombin_2EW @ X0) @ X1)) @ X2)) @ X3) = ((ap @ ((ap @ X2) @ X3)) @ X3)) | (((mem @ X3) @ X0) != $true) | ($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ X1))))) )), 20.94/3.10 inference(cnf_transformation,[],[f124])). 20.94/3.10 thf(f124,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (! [X3] : ((((ap @ ((ap @ ((c_2Ecombin_2EW @ X0) @ X1)) @ X2)) @ X3) = ((ap @ ((ap @ X2) @ X3)) @ X3)) | (((mem @ X3) @ X0) != $true)) | ($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ X1)))))), 20.94/3.10 inference(ennf_transformation,[],[f88])). 20.94/3.10 thf(f88,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (($true = ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ X1)))) => ! [X3] : ((((mem @ X3) @ X0) = $true) => (((ap @ ((ap @ ((c_2Ecombin_2EW @ X0) @ X1)) @ X2)) @ X3) = ((ap @ ((ap @ X2) @ X3)) @ X3))))), 20.94/3.10 inference(fool_elimination,[],[f87])). 20.94/3.10 thf(f87,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ X1))) => ! [X3] : (((mem @ X3) @ X0) => (((ap @ ((ap @ ((c_2Ecombin_2EW @ X0) @ X1)) @ X2)) @ X3) = ((ap @ ((ap @ X2) @ X3)) @ X3))))), 20.94/3.10 inference(rectify,[],[f19])). 20.94/3.10 thf(f19,axiom,( 20.94/3.10 ! [X5 : del,X7 : del,X12] : (((mem @ X12) @ ((arr @ X5) @ ((arr @ X5) @ X7))) => ! [X13] : (((mem @ X13) @ X5) => (((ap @ ((ap @ ((c_2Ecombin_2EW @ X5) @ X7)) @ X12)) @ X13) = ((ap @ ((ap @ X12) @ X13)) @ X13))))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecombin_2EW__THM)). 20.94/3.10 thf(f4680,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(trivial_inequality_removal,[],[f4679])). 20.94/3.10 thf(f4679,plain,( 20.94/3.10 ($true != $true) | ($true != (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(forward_demodulation,[],[f4489,f4495])). 20.94/3.10 thf(f4495,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK10))) | ~spl13_1), 20.94/3.10 inference(unit_resulting_resolution,[],[f155,f154,f1402,f688,f616,f303,f320,f166])). 20.94/3.10 thf(f166,plain,( 20.94/3.10 ( ! [X6 : $i,X4 : $i,X2 : $i,X0 : del,X5 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X6))) | ($true != ((mem @ X6) @ X0)) | ($true != ((mem @ X5) @ X0)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1))) | ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X5)))) )), 20.94/3.10 inference(cnf_transformation,[],[f137])). 20.94/3.10 thf(f4489,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(forward_demodulation,[],[f202,f1994])). 20.94/3.10 thf(f1994,plain,( 20.94/3.10 (((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10) = ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK10))), 20.94/3.10 inference(unit_resulting_resolution,[],[f154,f1402,f198])). 20.94/3.10 thf(f202,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(forward_demodulation,[],[f201,f163])). 20.94/3.10 thf(f163,plain,( 20.94/3.10 ( ! [X0 : del,X1 : del] : ((((c_2Ecombin_2EW @ X0) @ X1) = ((c_2Equotient_2Erespects @ X0) @ X1))) )), 20.94/3.10 inference(cnf_transformation,[],[f105])). 20.94/3.10 thf(f105,plain,( 20.94/3.10 ! [X0 : del,X1 : del] : (((c_2Ecombin_2EW @ X0) @ X1) = ((c_2Equotient_2Erespects @ X0) @ X1))), 20.94/3.10 inference(rectify,[],[f33])). 20.94/3.10 thf(f33,axiom,( 20.94/3.10 ! [X5 : del,X7 : del] : (((c_2Ecombin_2EW @ X5) @ X7) = ((c_2Equotient_2Erespects @ X5) @ X7))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Equotient_2Erespects__def)). 20.94/3.10 thf(f201,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(forward_demodulation,[],[f159,f163])). 20.94/3.10 thf(f159,plain,( 20.94/3.10 (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f135,plain,( 20.94/3.10 (((((((((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))) & ($true = ((mem @ sK11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ sK10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ sK8)) @ sK9))) & ($true = ((mem @ sK9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ sK8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ sK7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ sK5)) @ sK6))) & ($true = ((mem @ sK6) @ ((arr @ sK2) @ sK0)))) & ($true = ((mem @ sK5) @ ((arr @ sK0) @ sK2)))) & ($true = ((mem @ sK4) @ ((arr @ sK0) @ ((arr @ sK0) @ bool))))), 20.94/3.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f126,f134,f133,f132,f131,f130,f129,f128,f127])). 20.94/3.10 thf(f127,plain,( 20.94/3.10 ? [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (? [X5] : (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ X0) @ X1)))) & ($true = ((mem @ X10) @ ((arr @ X0) @ X1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ X3) @ X1)))) & ($true = ((mem @ X8) @ ((arr @ X1) @ X3)))) & ($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ X2) @ X0)))) & ($true = ((mem @ X5) @ ((arr @ X0) @ X2)))) & ($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool))))) => (? [X5] : (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ X7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ X5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ sK2) @ sK0)))) & ($true = ((mem @ X5) @ ((arr @ sK0) @ sK2)))) & ($true = ((mem @ sK4) @ ((arr @ sK0) @ ((arr @ sK0) @ bool)))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f128,plain,( 20.94/3.10 ? [X5] : (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ X7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ X5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ sK2) @ sK0)))) & ($true = ((mem @ X5) @ ((arr @ sK0) @ sK2)))) => (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ X7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ sK5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ sK2) @ sK0)))) & ($true = ((mem @ sK5) @ ((arr @ sK0) @ sK2))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f129,plain,( 20.94/3.10 ? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ X7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ sK5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ sK2) @ sK0)))) => (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ X7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ sK5)) @ sK6))) & ($true = ((mem @ sK6) @ ((arr @ sK2) @ sK0))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f130,plain,( 20.94/3.10 ? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ X7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))) => (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) & ($true = ((mem @ sK7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool)))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f131,plain,( 20.94/3.10 ? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ X8) @ ((arr @ sK1) @ sK3)))) => (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ sK8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) & ($true = ((mem @ sK8) @ ((arr @ sK1) @ sK3))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f132,plain,( 20.94/3.10 ? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ sK8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ sK3) @ sK1)))) => (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ sK8)) @ sK9))) & ($true = ((mem @ sK9) @ ((arr @ sK3) @ sK1))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f133,plain,( 20.94/3.10 ? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ X10) @ ((arr @ sK0) @ sK1)))) => (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) & ($true = ((mem @ sK10) @ ((arr @ sK0) @ sK1))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f134,plain,( 20.94/3.10 ? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ X11) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ sK0) @ sK1)))) => (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))) & ($true = ((mem @ sK11) @ ((arr @ sK0) @ sK1))))), 20.94/3.10 introduced(choice_axiom,[])). 20.94/3.10 thf(f126,plain,( 20.94/3.10 ? [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (? [X5] : (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11)))) & ($true = ((mem @ X11) @ ((arr @ X0) @ X1)))) & ($true = ((mem @ X10) @ ((arr @ X0) @ X1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ X3) @ X1)))) & ($true = ((mem @ X8) @ ((arr @ X1) @ X3)))) & ($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ X2) @ X0)))) & ($true = ((mem @ X5) @ ((arr @ X0) @ X2)))) & ($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(flattening,[],[f125])). 20.94/3.10 thf(f125,plain,( 20.94/3.10 ? [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (? [X5] : (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : (((((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) != ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) | ($true != (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11)))) & (((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10)))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11))))) & ($true = ((mem @ X11) @ ((arr @ X0) @ X1)))) & ($true = ((mem @ X10) @ ((arr @ X0) @ X1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ X3) @ X1)))) & ($true = ((mem @ X8) @ ((arr @ X1) @ X3)))) & ($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ X2) @ X0)))) & ($true = ((mem @ X5) @ ((arr @ X0) @ X2)))) & ($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(nnf_transformation,[],[f110])). 20.94/3.10 thf(f110,plain,( 20.94/3.10 ? [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (? [X5] : (? [X6] : (? [X7] : (? [X8] : (? [X9] : (? [X10] : (? [X11] : ((($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11))) <~> ((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10))))) & ($true = ((mem @ X11) @ ((arr @ X0) @ X1)))) & ($true = ((mem @ X10) @ ((arr @ X0) @ X1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) & ($true = ((mem @ X9) @ ((arr @ X3) @ X1)))) & ($true = ((mem @ X8) @ ((arr @ X1) @ X3)))) & ($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) & ($true = ((mem @ X6) @ ((arr @ X2) @ X0)))) & ($true = ((mem @ X5) @ ((arr @ X0) @ X2)))) & ($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(flattening,[],[f109])). 20.94/3.10 thf(f109,plain,( 20.94/3.10 ? [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (? [X5] : (? [X6] : ((? [X7] : (? [X8] : (? [X9] : ((? [X10] : (? [X11] : ((($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11))) <~> ((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10))))) & ($true = ((mem @ X11) @ ((arr @ X0) @ X1)))) & ($true = ((mem @ X10) @ ((arr @ X0) @ X1)))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9)))) & ($true = ((mem @ X9) @ ((arr @ X3) @ X1)))) & ($true = ((mem @ X8) @ ((arr @ X1) @ X3)))) & ($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) & ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6)))) & ($true = ((mem @ X6) @ ((arr @ X2) @ X0)))) & ($true = ((mem @ X5) @ ((arr @ X0) @ X2)))) & ($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(ennf_transformation,[],[f40])). 20.94/3.10 thf(f40,plain,( 20.94/3.10 ~! [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) => ! [X5] : (($true = ((mem @ X5) @ ((arr @ X0) @ X2))) => ! [X6] : (($true = ((mem @ X6) @ ((arr @ X2) @ X0))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) => ! [X7] : (($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool)))) => ! [X8] : (($true = ((mem @ X8) @ ((arr @ X1) @ X3))) => ! [X9] : (($true = ((mem @ X9) @ ((arr @ X3) @ X1))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) => ! [X10] : (($true = ((mem @ X10) @ ((arr @ X0) @ X1))) => ! [X11] : (($true = ((mem @ X11) @ ((arr @ X0) @ X1))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11))) <=> ((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11))) & ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10)))))))))))))))), 20.94/3.10 inference(fool_elimination,[],[f39])). 20.94/3.10 thf(f39,plain,( 20.94/3.10 ~! [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool))) => ! [X5] : (((mem @ X5) @ ((arr @ X0) @ X2)) => ! [X6] : (((mem @ X6) @ ((arr @ X2) @ X0)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6)) => ! [X7] : (((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))) => ! [X8] : (((mem @ X8) @ ((arr @ X1) @ X3)) => ! [X9] : (((mem @ X9) @ ((arr @ X3) @ X1)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9)) => ! [X10] : (((mem @ X10) @ ((arr @ X0) @ X1)) => ! [X11] : (((mem @ X11) @ ((arr @ X0) @ X1)) => ((p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7)) @ X10)) @ X11)) <=> ((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8)) @ X11)) & (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X11)) & (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X0) @ X1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ X10))))))))))))))), 20.94/3.10 inference(rectify,[],[f30])). 20.94/3.10 thf(f30,negated_conjecture,( 20.94/3.10 ~! [X5 : del,X7 : del,X15 : del,X16 : del,X17] : (((mem @ X17) @ ((arr @ X5) @ ((arr @ X5) @ bool))) => ! [X18] : (((mem @ X18) @ ((arr @ X5) @ X15)) => ! [X19] : (((mem @ X19) @ ((arr @ X15) @ X5)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X5) @ X15)) @ X17)) @ X18)) @ X19)) => ! [X20] : (((mem @ X20) @ ((arr @ X7) @ ((arr @ X7) @ bool))) => ! [X21] : (((mem @ X21) @ ((arr @ X7) @ X16)) => ! [X22] : (((mem @ X22) @ ((arr @ X16) @ X7)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X7) @ X16)) @ X20)) @ X21)) @ X22)) => ! [X23] : (((mem @ X23) @ ((arr @ X5) @ X7)) => ! [X24] : (((mem @ X24) @ ((arr @ X5) @ X7)) => ((p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20)) @ X23)) @ X24)) <=> ((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X15) @ X7) @ X5) @ X16)) @ X19)) @ X21)) @ X23) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X15) @ X7) @ X5) @ X16)) @ X19)) @ X21)) @ X24)) & (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X5) @ X7)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20))) @ X24)) & (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X5) @ X7)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20))) @ X23))))))))))))))), 20.94/3.10 inference(negated_conjecture,[],[f29])). 20.94/3.10 thf(f29,conjecture,( 20.94/3.10 ! [X5 : del,X7 : del,X15 : del,X16 : del,X17] : (((mem @ X17) @ ((arr @ X5) @ ((arr @ X5) @ bool))) => ! [X18] : (((mem @ X18) @ ((arr @ X5) @ X15)) => ! [X19] : (((mem @ X19) @ ((arr @ X15) @ X5)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X5) @ X15)) @ X17)) @ X18)) @ X19)) => ! [X20] : (((mem @ X20) @ ((arr @ X7) @ ((arr @ X7) @ bool))) => ! [X21] : (((mem @ X21) @ ((arr @ X7) @ X16)) => ! [X22] : (((mem @ X22) @ ((arr @ X16) @ X7)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X7) @ X16)) @ X20)) @ X21)) @ X22)) => ! [X23] : (((mem @ X23) @ ((arr @ X5) @ X7)) => ! [X24] : (((mem @ X24) @ ((arr @ X5) @ X7)) => ((p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20)) @ X23)) @ X24)) <=> ((((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X15) @ X7) @ X5) @ X16)) @ X19)) @ X21)) @ X23) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X15) @ X7) @ X5) @ X16)) @ X19)) @ X21)) @ X24)) & (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X5) @ X7)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20))) @ X24)) & (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ X5) @ X7)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20))) @ X23))))))))))))))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Equotient_2EFUN__REL__EQ__REL)). 20.94/3.10 thf(f303,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ sK0) @ sK1)) @ ((arr @ sK2) @ sK3))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK0) @ sK3) @ sK2) @ sK1)) @ sK5)) @ sK9))))), 20.94/3.10 inference(unit_resulting_resolution,[],[f151,f147,f148,f152,f146,f150,f149,f153,f160])). 20.94/3.10 thf(f160,plain,( 20.94/3.10 ( ! [X6 : $i,X4 : $i,X2 : del,X0 : del,X8 : $i,X7 : $i,X5 : $i,X3 : del,X1 : del,X9 : $i] : (($true != ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) | ($true != ((mem @ X9) @ ((arr @ X3) @ X1))) | ($true != ((mem @ X8) @ ((arr @ X1) @ X3))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ X0) @ X1)) @ ((arr @ X2) @ X3))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X3) @ X2) @ X1)) @ X5)) @ X9)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) | ($true != ((mem @ X6) @ ((arr @ X2) @ X0))) | ($true != ((mem @ X5) @ ((arr @ X0) @ X2))) | ($true != ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool))))) )), 20.94/3.10 inference(cnf_transformation,[],[f112])). 20.94/3.10 thf(f112,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (! [X5] : (! [X6] : (! [X7] : (! [X8] : (! [X9] : (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ X0) @ X1)) @ ((arr @ X2) @ X3))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X3) @ X2) @ X1)) @ X5)) @ X9)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) | ($true != ((mem @ X9) @ ((arr @ X3) @ X1)))) | ($true != ((mem @ X8) @ ((arr @ X1) @ X3)))) | ($true != ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) | ($true != ((mem @ X6) @ ((arr @ X2) @ X0)))) | ($true != ((mem @ X5) @ ((arr @ X0) @ X2)))) | ($true != ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(flattening,[],[f111])). 20.94/3.10 thf(f111,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (! [X5] : (! [X6] : ((! [X7] : (! [X8] : (! [X9] : ((($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ X0) @ X1)) @ ((arr @ X2) @ X3))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X3) @ X2) @ X1)) @ X5)) @ X9)))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9)))) | ($true != ((mem @ X9) @ ((arr @ X3) @ X1)))) | ($true != ((mem @ X8) @ ((arr @ X1) @ X3)))) | ($true != ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))))) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6)))) | ($true != ((mem @ X6) @ ((arr @ X2) @ X0)))) | ($true != ((mem @ X5) @ ((arr @ X0) @ X2)))) | ($true != ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))))), 20.94/3.10 inference(ennf_transformation,[],[f92])). 20.94/3.10 thf(f92,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (($true = ((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) => ! [X5] : (($true = ((mem @ X5) @ ((arr @ X0) @ X2))) => ! [X6] : (($true = ((mem @ X6) @ ((arr @ X2) @ X0))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6))) => ! [X7] : (($true = ((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool)))) => ! [X8] : (($true = ((mem @ X8) @ ((arr @ X1) @ X3))) => ! [X9] : (($true = ((mem @ X9) @ ((arr @ X3) @ X1))) => (($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9))) => ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ X0) @ X1)) @ ((arr @ X2) @ X3))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X3) @ X2) @ X1)) @ X5)) @ X9))))))))))))), 20.94/3.10 inference(fool_elimination,[],[f91])). 20.94/3.10 thf(f91,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2 : del,X3 : del,X4] : (((mem @ X4) @ ((arr @ X0) @ ((arr @ X0) @ bool))) => ! [X5] : (((mem @ X5) @ ((arr @ X0) @ X2)) => ! [X6] : (((mem @ X6) @ ((arr @ X2) @ X0)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X2)) @ X4)) @ X5)) @ X6)) => ! [X7] : (((mem @ X7) @ ((arr @ X1) @ ((arr @ X1) @ bool))) => ! [X8] : (((mem @ X8) @ ((arr @ X1) @ X3)) => ! [X9] : (((mem @ X9) @ ((arr @ X3) @ X1)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X1) @ X3)) @ X7)) @ X8)) @ X9)) => (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ X0) @ X1)) @ ((arr @ X2) @ X3))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ X4)) @ X7))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X2) @ X1) @ X0) @ X3)) @ X6)) @ X8))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X3) @ X2) @ X1)) @ X5)) @ X9)))))))))))), 20.94/3.10 inference(rectify,[],[f28])). 20.94/3.10 thf(f28,axiom,( 20.94/3.10 ! [X5 : del,X7 : del,X15 : del,X16 : del,X17] : (((mem @ X17) @ ((arr @ X5) @ ((arr @ X5) @ bool))) => ! [X18] : (((mem @ X18) @ ((arr @ X5) @ X15)) => ! [X19] : (((mem @ X19) @ ((arr @ X15) @ X5)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X5) @ X15)) @ X17)) @ X18)) @ X19)) => ! [X20] : (((mem @ X20) @ ((arr @ X7) @ ((arr @ X7) @ bool))) => ! [X21] : (((mem @ X21) @ ((arr @ X7) @ X16)) => ! [X22] : (((mem @ X22) @ ((arr @ X16) @ X7)) => ((p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X7) @ X16)) @ X20)) @ X21)) @ X22)) => (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ ((arr @ X5) @ X7)) @ ((arr @ X15) @ X16))) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ X17)) @ X20))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X15) @ X7) @ X5) @ X16)) @ X19)) @ X21))) @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ X5) @ X16) @ X15) @ X7)) @ X18)) @ X22)))))))))))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Equotient_2EFUN__QUOTIENT)). 20.94/3.10 thf(f153,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK1) @ sK3)) @ sK7)) @ sK8)) @ sK9)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f149,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ sK0) @ sK2)) @ sK4)) @ sK5)) @ sK6)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f150,plain,( 20.94/3.10 ($true = ((mem @ sK7) @ ((arr @ sK1) @ ((arr @ sK1) @ bool))))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f146,plain,( 20.94/3.10 ($true = ((mem @ sK4) @ ((arr @ sK0) @ ((arr @ sK0) @ bool))))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f152,plain,( 20.94/3.10 ($true = ((mem @ sK9) @ ((arr @ sK3) @ sK1)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f148,plain,( 20.94/3.10 ($true = ((mem @ sK6) @ ((arr @ sK2) @ sK0)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f147,plain,( 20.94/3.10 ($true = ((mem @ sK5) @ ((arr @ sK0) @ sK2)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f151,plain,( 20.94/3.10 ($true = ((mem @ sK8) @ ((arr @ sK1) @ sK3)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f616,plain,( 20.94/3.10 ($true = ((mem @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK0) @ sK3) @ sK2) @ sK1)) @ sK5)) @ sK9)) @ ((arr @ ((arr @ sK2) @ sK3)) @ ((arr @ sK0) @ sK1))))), 20.94/3.10 inference(unit_resulting_resolution,[],[f152,f205,f172])). 20.94/3.10 thf(f172,plain,( 20.94/3.10 ( ! [X2 : $i,X0 : del,X3 : $i,X1 : del] : ((((mem @ X3) @ X0) != $true) | (((mem @ ((ap @ X2) @ X3)) @ X1) = $true) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true)) )), 20.94/3.10 inference(cnf_transformation,[],[f117])). 20.94/3.10 thf(f117,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (! [X3] : ((((mem @ ((ap @ X2) @ X3)) @ X1) = $true) | (((mem @ X3) @ X0) != $true)) | (((mem @ X2) @ ((arr @ X0) @ X1)) != $true))), 20.94/3.10 inference(ennf_transformation,[],[f82])). 20.94/3.10 thf(f82,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : ((((mem @ X2) @ ((arr @ X0) @ X1)) = $true) => ! [X3] : ((((mem @ X3) @ X0) = $true) => (((mem @ ((ap @ X2) @ X3)) @ X1) = $true)))), 20.94/3.10 inference(fool_elimination,[],[f81])). 20.94/3.10 thf(f81,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ X0) => ((mem @ ((ap @ X2) @ X3)) @ X1)))), 20.94/3.10 inference(rectify,[],[f5])). 20.94/3.10 thf(f5,axiom,( 20.94/3.10 ! [X0 : del,X1 : del,X2] : (((mem @ X2) @ ((arr @ X0) @ X1)) => ! [X3] : (((mem @ X3) @ X0) => ((mem @ ((ap @ X2) @ X3)) @ X1)))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp)). 20.94/3.10 thf(f205,plain,( 20.94/3.10 ( ! [X0 : del,X1 : del] : (($true = ((mem @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK0) @ X0) @ sK2) @ X1)) @ sK5)) @ ((arr @ ((arr @ X0) @ X1)) @ ((arr @ ((arr @ sK2) @ X0)) @ ((arr @ sK0) @ X1)))))) )), 20.94/3.10 inference(unit_resulting_resolution,[],[f161,f147,f172])). 20.94/3.10 thf(f161,plain,( 20.94/3.10 ( ! [X2 : del,X0 : del,X3 : del,X1 : del] : (($true = ((mem @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X1) @ X2) @ X3)) @ ((arr @ ((arr @ X0) @ X2)) @ ((arr @ ((arr @ X1) @ X3)) @ ((arr @ ((arr @ X2) @ X1)) @ ((arr @ X0) @ X3))))))) )), 20.94/3.10 inference(cnf_transformation,[],[f90])). 20.94/3.10 thf(f90,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2 : del,X3 : del] : ($true = ((mem @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X1) @ X2) @ X3)) @ ((arr @ ((arr @ X0) @ X2)) @ ((arr @ ((arr @ X1) @ X3)) @ ((arr @ ((arr @ X2) @ X1)) @ ((arr @ X0) @ X3))))))), 20.94/3.10 inference(fool_elimination,[],[f89])). 20.94/3.10 thf(f89,plain,( 20.94/3.10 ! [X0 : del,X1 : del,X2 : del,X3 : del] : ((mem @ ((((c_2Equotient_2E_2D_2D_3E @ X0) @ X1) @ X2) @ X3)) @ ((arr @ ((arr @ X0) @ X2)) @ ((arr @ ((arr @ X1) @ X3)) @ ((arr @ ((arr @ X2) @ X1)) @ ((arr @ X0) @ X3)))))), 20.94/3.10 inference(rectify,[],[f37])). 20.94/3.10 thf(f37,axiom,( 20.94/3.10 ! [X5 : del,X7 : del,X15 : del,X16 : del] : ((mem @ ((((c_2Equotient_2E_2D_2D_3E @ X5) @ X7) @ X15) @ X16)) @ ((arr @ ((arr @ X5) @ X15)) @ ((arr @ ((arr @ X7) @ X16)) @ ((arr @ ((arr @ X15) @ X7)) @ ((arr @ X5) @ X16)))))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Equotient_2E_2D_2D_3E)). 20.94/3.10 thf(f688,plain,( 20.94/3.10 ($true = ((mem @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ ((arr @ ((arr @ sK0) @ sK1)) @ ((arr @ sK2) @ sK3))))), 20.94/3.10 inference(unit_resulting_resolution,[],[f151,f211,f172])). 20.94/3.10 thf(f211,plain,( 20.94/3.10 ( ! [X0 : del,X1 : del] : (($true = ((mem @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ X0) @ sK0) @ X1)) @ sK6)) @ ((arr @ ((arr @ X0) @ X1)) @ ((arr @ ((arr @ sK0) @ X0)) @ ((arr @ sK2) @ X1)))))) )), 20.94/3.10 inference(unit_resulting_resolution,[],[f161,f148,f172])). 20.94/3.10 thf(f1402,plain,( 20.94/3.10 ($true = ((mem @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ ((arr @ ((arr @ sK0) @ sK1)) @ ((arr @ ((arr @ sK0) @ sK1)) @ bool))))), 20.94/3.10 inference(unit_resulting_resolution,[],[f150,f242,f172])). 20.94/3.10 thf(f242,plain,( 20.94/3.10 ( ! [X0 : del] : (($true = ((mem @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ X0)) @ sK4)) @ ((arr @ ((arr @ X0) @ ((arr @ X0) @ bool))) @ ((arr @ ((arr @ sK0) @ X0)) @ ((arr @ ((arr @ sK0) @ X0)) @ bool)))))) )), 20.94/3.10 inference(unit_resulting_resolution,[],[f164,f146,f172])). 20.94/3.10 thf(f164,plain,( 20.94/3.10 ( ! [X0 : del,X1 : del] : (($true = ((mem @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ ((arr @ X0) @ bool))) @ ((arr @ ((arr @ X1) @ ((arr @ X1) @ bool))) @ ((arr @ ((arr @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ X1)) @ bool))))))) )), 20.94/3.10 inference(cnf_transformation,[],[f76])). 20.94/3.10 thf(f76,plain,( 20.94/3.10 ! [X0 : del,X1 : del] : ($true = ((mem @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ ((arr @ X0) @ bool))) @ ((arr @ ((arr @ X1) @ ((arr @ X1) @ bool))) @ ((arr @ ((arr @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ X1)) @ bool))))))), 20.94/3.10 inference(fool_elimination,[],[f75])). 20.94/3.10 thf(f75,plain,( 20.94/3.10 ! [X0 : del,X1 : del] : ((mem @ ((c_2Equotient_2E_3D_3D_3D_3E @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ ((arr @ X0) @ bool))) @ ((arr @ ((arr @ X1) @ ((arr @ X1) @ bool))) @ ((arr @ ((arr @ X0) @ X1)) @ ((arr @ ((arr @ X0) @ X1)) @ bool)))))), 20.94/3.10 inference(rectify,[],[f11])). 20.94/3.10 thf(f11,axiom,( 20.94/3.10 ! [X5 : del,X7 : del] : ((mem @ ((c_2Equotient_2E_3D_3D_3D_3E @ X5) @ X7)) @ ((arr @ ((arr @ X5) @ ((arr @ X5) @ bool))) @ ((arr @ ((arr @ X7) @ ((arr @ X7) @ bool))) @ ((arr @ ((arr @ X5) @ X7)) @ ((arr @ ((arr @ X5) @ X7)) @ bool)))))), 20.94/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Equotient_2E_3D_3D_3D_3E)). 20.94/3.10 thf(f320,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | ~spl13_1), 20.94/3.10 inference(avatar_component_clause,[],[f318])). 20.94/3.10 thf(f318,plain,( 20.94/3.10 spl13_1 <=> ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 introduced(avatar_definition,[new_symbols(naming,[spl13_1])])). 20.94/3.10 thf(f154,plain,( 20.94/3.10 ($true = ((mem @ sK10) @ ((arr @ sK0) @ sK1)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f155,plain,( 20.94/3.10 ($true = ((mem @ sK11) @ ((arr @ sK0) @ sK1)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f4488,plain,( 20.94/3.10 spl13_1 | ~spl13_2 | ~spl13_3 | ~spl13_4), 20.94/3.10 inference(avatar_contradiction_clause,[],[f4485])). 20.94/3.10 thf(f4485,plain,( 20.94/3.10 $false | (spl13_1 | ~spl13_2 | ~spl13_3 | ~spl13_4)), 20.94/3.10 inference(unit_resulting_resolution,[],[f154,f155,f2030,f2061,f1402,f688,f616,f527,f303,f319,f165])). 20.94/3.10 thf(f165,plain,( 20.94/3.10 ( ! [X6 : $i,X4 : $i,X2 : $i,X0 : del,X5 : $i,X3 : $i,X1 : del] : (($true != ((mem @ X2) @ ((arr @ X0) @ ((arr @ X0) @ bool)))) | ($true != (p @ ((ap @ ((ap @ X2) @ X6)) @ X6))) | (((ap @ X3) @ X5) != ((ap @ X3) @ X6)) | ($true != (p @ ((ap @ ((ap @ X2) @ X5)) @ X5))) | ($true != ((mem @ X6) @ X0)) | ($true != ((mem @ X5) @ X0)) | ($true != (p @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2EQUOTIENT @ X0) @ X1)) @ X2)) @ X3)) @ X4))) | ($true != ((mem @ X4) @ ((arr @ X1) @ X0))) | ($true != ((mem @ X3) @ ((arr @ X0) @ X1))) | ($true = (p @ ((ap @ ((ap @ X2) @ X5)) @ X6)))) )), 20.94/3.10 inference(cnf_transformation,[],[f137])). 20.94/3.10 thf(f319,plain,( 20.94/3.10 ($true != (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11))) | spl13_1), 20.94/3.10 inference(avatar_component_clause,[],[f318])). 20.94/3.10 thf(f527,plain,( 20.94/3.10 (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ~spl13_4), 20.94/3.10 inference(avatar_component_clause,[],[f525])). 20.94/3.10 thf(f525,plain,( 20.94/3.10 spl13_4 <=> (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11))), 20.94/3.10 introduced(avatar_definition,[new_symbols(naming,[spl13_4])])). 20.94/3.10 thf(f2061,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK11)) @ sK11))) | ~spl13_2), 20.94/3.10 inference(backward_demodulation,[],[f324,f2054])). 20.94/3.10 thf(f324,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | ~spl13_2), 20.94/3.10 inference(avatar_component_clause,[],[f322])). 20.94/3.10 thf(f322,plain,( 20.94/3.10 spl13_2 <=> ($true = (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11)))), 20.94/3.10 introduced(avatar_definition,[new_symbols(naming,[spl13_2])])). 20.94/3.10 thf(f2030,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK10))) | ~spl13_3), 20.94/3.10 inference(backward_demodulation,[],[f382,f1994])). 20.94/3.10 thf(f382,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ~spl13_3), 20.94/3.10 inference(avatar_component_clause,[],[f380])). 20.94/3.10 thf(f380,plain,( 20.94/3.10 spl13_3 <=> ($true = (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10)))), 20.94/3.10 introduced(avatar_definition,[new_symbols(naming,[spl13_3])])). 20.94/3.10 thf(f528,plain,( 20.94/3.10 spl13_1 | spl13_4), 20.94/3.10 inference(avatar_split_clause,[],[f158,f525,f318])). 20.94/3.10 thf(f158,plain,( 20.94/3.10 (((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK10) = ((ap @ ((ap @ ((ap @ ((((c_2Equotient_2E_2D_2D_3E @ sK2) @ sK1) @ sK0) @ sK3)) @ sK6)) @ sK8)) @ sK11)) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f383,plain,( 20.94/3.10 spl13_1 | spl13_3), 20.94/3.10 inference(avatar_split_clause,[],[f204,f380,f318])). 20.94/3.10 thf(f204,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(forward_demodulation,[],[f156,f163])). 20.94/3.10 thf(f156,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK10))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 thf(f325,plain,( 20.94/3.10 spl13_1 | spl13_2), 20.94/3.10 inference(avatar_split_clause,[],[f203,f322,f318])). 20.94/3.10 thf(f203,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((c_2Ecombin_2EW @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(forward_demodulation,[],[f157,f163])). 20.94/3.10 thf(f157,plain,( 20.94/3.10 ($true = (p @ ((ap @ ((ap @ ((c_2Equotient_2Erespects @ ((arr @ sK0) @ sK1)) @ bool)) @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7))) @ sK11))) | ($true = (p @ ((ap @ ((ap @ ((ap @ ((ap @ ((c_2Equotient_2E_3D_3D_3D_3E @ sK0) @ sK1)) @ sK4)) @ sK7)) @ sK10)) @ sK11)))), 20.94/3.10 inference(cnf_transformation,[],[f135])). 20.94/3.10 % SZS output end Proof for theBenchmark 20.94/3.10 % (2084)------------------------------ 20.94/3.10 % (2084)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 20.94/3.10 % (2084)Termination reason: Refutation 20.94/3.10 20.94/3.10 % (2084)Memory used [KB]: 24050 20.94/3.10 % (2084)Time elapsed: 2.647 s 20.94/3.10 % (2084)------------------------------ 20.94/3.10 % (2084)------------------------------ 20.94/3.10 % (2059)Success in time 2.732 s 20.94/3.11 EOF