0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n011.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 12:15:40 EDT 2021 0.13/0.35 % 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 0.20/0.35 Running in auto input_syntax mode. Trying TPTP 0.20/0.44 % (6380)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 % (6387)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 0.20/0.44 % (6374)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 % (6388)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 0.20/0.44 % (6375)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 0.20/0.44 % (6384)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 0.20/0.45 % (6379)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 0.20/0.45 % (6385)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 0.20/0.45 % (6377)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 0.20/0.45 % (6372)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 0.20/0.45 % (6370)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 0.20/0.45 % (6369)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 0.20/0.45 % (6366)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 % (6376)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 0.20/0.45 % (6367)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 0.20/0.45 % (6365)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 % (6371)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 0.20/0.45 % (6368)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 0.20/0.46 % (6361)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 0.20/0.46 % (6363)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 0.20/0.46 % (6364)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 0.20/0.46 % (6389)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 0.20/0.46 % (6382)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 0.20/0.46 % (6362)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 0.20/0.46 % (6383)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 0.20/0.46 % (6386)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 0.20/0.47 % (6378)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 0.20/0.48 % (6360)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 0.20/0.50 % (6373)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 0.20/0.50 % (6381)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 5.41/1.27 % (6385)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 5.41/1.28 % (6369)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 5.41/1.30 % (6366)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 5.41/1.32 % (6367)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 6.31/1.33 % (6377)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 6.51/1.36 % (6376)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 6.51/1.36 % (6364)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 6.51/1.38 % (6384)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 6.51/1.41 % (6373)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 7.35/1.49 % (6362)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 7.35/1.51 % (6383)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 7.35/1.53 % (6374)Time limit reached! 7.35/1.53 % (6374)------------------------------ 7.35/1.53 % (6374)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 7.35/1.54 % (6374)Termination reason: Time limit 7.35/1.54 7.35/1.54 % (6374)Memory used [KB]: 16758 7.35/1.54 % (6374)Time elapsed: 1.121 s 7.35/1.54 % (6374)------------------------------ 7.35/1.54 % (6374)------------------------------ 8.04/1.59 % (6421)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 8.04/1.61 % (6362)Time limit reached! 8.04/1.61 % (6362)------------------------------ 8.04/1.61 % (6362)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 8.04/1.61 % (6362)Termination reason: Time limit 8.04/1.61 8.04/1.61 % (6362)Memory used [KB]: 21364 8.04/1.61 % (6362)Time elapsed: 1.205 s 8.04/1.61 % (6362)------------------------------ 8.04/1.61 % (6362)------------------------------ 8.58/1.69 % (6382)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 8.58/1.69 % (6439)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 9.40/1.82 % (6366)Time limit reached! 9.40/1.82 % (6366)------------------------------ 9.40/1.82 % (6366)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 9.40/1.82 % (6366)Termination reason: Time limit 9.40/1.82 9.40/1.82 % (6366)Memory used [KB]: 15863 9.40/1.82 % (6366)Time elapsed: 1.409 s 9.40/1.82 % (6366)------------------------------ 9.40/1.82 % (6366)------------------------------ 9.40/1.86 % (6363)Time limit reached! 9.40/1.86 % (6363)------------------------------ 9.40/1.86 % (6363)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 9.40/1.86 % (6363)Termination reason: Time limit 9.40/1.86 9.40/1.86 % (6363)Memory used [KB]: 15991 9.40/1.86 % (6363)Time elapsed: 1.454 s 9.40/1.86 % (6363)------------------------------ 9.40/1.86 % (6363)------------------------------ 9.40/1.89 % (6476)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 9.40/1.91 % (6480)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 11.36/2.07 % (6369)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 11.36/2.08 % (6376)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 11.36/2.11 % (6375)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 11.36/2.12 % (6368)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 12.17/2.22 % (6361)Time limit reached! 12.17/2.22 % (6361)------------------------------ 12.17/2.22 % (6361)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 12.17/2.22 % (6361)Termination reason: Time limit 12.17/2.22 % (6361)Termination phase: Property scanning 12.17/2.22 12.17/2.22 % (6361)Memory used [KB]: 3454 12.17/2.22 % (6361)Time elapsed: 0.700 s 12.17/2.22 % (6361)------------------------------ 12.17/2.22 % (6361)------------------------------ 12.88/2.31 % (6498)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 12.88/2.32 % (6379)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 13.38/2.41 % (6382)Time limit reached! 13.38/2.41 % (6382)------------------------------ 13.38/2.41 % (6382)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 13.38/2.41 % (6382)Termination reason: Time limit 13.38/2.41 % (6382)Termination phase: Saturation 13.38/2.41 13.38/2.41 % (6382)Memory used [KB]: 6268 13.38/2.41 % (6382)Time elapsed: 2.0000 s 13.38/2.41 % (6382)------------------------------ 13.38/2.41 % (6382)------------------------------ 13.90/2.46 % (6499)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 14.82/2.68 % (6476)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 18.36/3.06 % (6480)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 18.97/3.23 % (6360)Time limit reached! 18.97/3.23 % (6360)------------------------------ 18.97/3.23 % (6360)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 18.97/3.24 % (6360)Termination reason: Time limit 18.97/3.24 % (6360)Termination phase: Property scanning 18.97/3.24 18.97/3.24 % (6360)Memory used [KB]: 3454 18.97/3.24 % (6360)Time elapsed: 0.700 s 18.97/3.24 % (6360)------------------------------ 18.97/3.24 % (6360)------------------------------ 19.63/3.28 % (6531)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 20.60/3.36 % (6369)Time limit reached! 20.60/3.36 % (6369)------------------------------ 20.60/3.36 % (6369)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 20.60/3.36 % (6369)Termination reason: Time limit 20.60/3.36 % (6369)Termination phase: Property scanning 20.60/3.36 20.60/3.36 % (6369)Memory used [KB]: 3454 20.60/3.36 % (6369)Time elapsed: 0.900 s 20.60/3.36 % (6369)------------------------------ 20.60/3.36 % (6369)------------------------------ 20.67/3.41 % (6372)Time limit reached! 20.67/3.41 % (6372)------------------------------ 20.67/3.41 % (6372)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 20.67/3.41 % (6372)Termination reason: Time limit 20.67/3.41 % (6372)Termination phase: Property scanning 20.67/3.41 20.67/3.41 % (6372)Memory used [KB]: 3454 20.67/3.41 % (6372)Time elapsed: 0.700 s 20.67/3.41 % (6372)------------------------------ 20.67/3.41 % (6372)------------------------------ 20.67/3.41 % (6574)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 20.99/3.42 % (6371)Time limit reached! 20.99/3.42 % (6371)------------------------------ 20.99/3.42 % (6371)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 20.99/3.42 % (6371)Termination reason: Time limit 20.99/3.42 % (6371)Termination phase: Saturation 20.99/3.42 20.99/3.42 % (6371)Memory used [KB]: 14967 20.99/3.42 % (6371)Time elapsed: 0.700 s 20.99/3.42 % (6371)------------------------------ 20.99/3.42 % (6371)------------------------------ 21.16/3.45 % (6603)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 21.16/3.46 % (6611)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 24.01/3.96 % (6439)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 26.10/4.21 % (6574)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 27.13/4.30 % (6603)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 34.34/5.34 % (6378)Time limit reached! 34.34/5.34 % (6378)------------------------------ 34.34/5.34 % (6378)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 34.34/5.35 % (6378)Termination reason: Time limit 34.34/5.35 % (6378)Termination phase: Saturation 34.34/5.35 34.34/5.35 % (6378)Memory used [KB]: 92237 34.34/5.35 % (6378)Time elapsed: 1.500 s 34.34/5.35 % (6378)------------------------------ 34.34/5.35 % (6378)------------------------------ 34.34/5.35 % (6373)Time limit reached! 34.34/5.35 % (6373)------------------------------ 34.34/5.35 % (6373)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 34.34/5.35 % (6373)Termination reason: Time limit 34.34/5.35 34.34/5.35 % (6373)Memory used [KB]: 92621 34.34/5.35 % (6373)Time elapsed: 4.923 s 34.34/5.35 % (6373)------------------------------ 34.34/5.35 % (6373)------------------------------ 34.91/5.39 % (6375)Time limit reached! 34.91/5.39 % (6375)------------------------------ 34.91/5.39 % (6375)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 34.91/5.40 % (6365)Time limit reached! 34.91/5.40 % (6365)------------------------------ 34.91/5.40 % (6365)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 35.08/5.40 % (6379)Time limit reached! 35.08/5.40 % (6379)------------------------------ 35.08/5.40 % (6379)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 35.08/5.40 % (6379)Termination reason: Time limit 35.08/5.40 35.08/5.40 % (6379)Memory used [KB]: 79060 35.08/5.40 % (6379)Time elapsed: 4.996 s 35.08/5.40 % (6379)------------------------------ 35.08/5.40 % (6379)------------------------------ 35.08/5.40 % (6375)Termination reason: Time limit 35.08/5.40 35.08/5.40 % (6375)Memory used [KB]: 97226 35.08/5.40 % (6375)Time elapsed: 4.982 s 35.08/5.40 % (6375)------------------------------ 35.08/5.40 % (6375)------------------------------ 35.08/5.41 % (6737)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 35.08/5.41 % (6736)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 35.08/5.41 % (6365)Termination reason: Time limit 35.08/5.41 35.08/5.41 % (6365)Memory used [KB]: 95179 35.08/5.41 % (6365)Time elapsed: 4.980 s 35.08/5.41 % (6365)------------------------------ 35.08/5.41 % (6365)------------------------------ 35.24/5.46 % (6738)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 35.24/5.46 % (6739)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 35.24/5.47 % (6740)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off:thsq=on_73 on theBenchmark 35.85/5.57 % (6603)Refutation not found, incomplete strategy% (6603)------------------------------ 35.85/5.57 % (6603)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 35.85/5.59 % (6603)Termination reason: Refutation not found, incomplete strategy 35.85/5.59 35.85/5.59 % (6603)Memory used [KB]: 24562 35.85/5.59 % (6603)Time elapsed: 2.157 s 35.85/5.59 % (6603)------------------------------ 35.85/5.59 % (6603)------------------------------ 36.32/5.64 % (6741)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:cases=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on:thsq=on_12 on theBenchmark 40.70/6.17 % (6611)Time limit reached! 40.70/6.17 % (6611)------------------------------ 40.70/6.17 % (6611)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 40.70/6.17 % (6611)Termination reason: Time limit 40.70/6.17 % (6611)Termination phase: Saturation 40.70/6.17 40.70/6.17 % (6611)Memory used [KB]: 38762 40.70/6.17 % (6611)Time elapsed: 2.700 s 40.70/6.17 % (6611)------------------------------ 40.70/6.17 % (6611)------------------------------ 40.98/6.22 % (6742)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on:thsq=on_481 on theBenchmark 40.98/6.30 % (6737)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 41.68/6.36 % (6738)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 42.77/6.52 % (6385)Time limit reached! 42.77/6.52 % (6385)------------------------------ 42.77/6.52 % (6385)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 42.77/6.54 % (6385)Termination reason: Time limit 42.77/6.55 42.77/6.55 % (6385)Memory used [KB]: 97994 42.77/6.55 % (6385)Time elapsed: 6.109 s 42.77/6.55 % (6385)------------------------------ 42.77/6.55 % (6385)------------------------------ 42.77/6.61 % (6743)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence:thsq=on_300 on theBenchmark 42.77/6.63 % (6364)Time limit reached! 42.77/6.63 % (6364)------------------------------ 42.77/6.63 % (6364)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 42.77/6.65 % (6364)Termination reason: Time limit 42.77/6.65 42.77/6.65 % (6364)Memory used [KB]: 95051 42.77/6.65 % (6364)Time elapsed: 6.220 s 42.77/6.65 % (6364)------------------------------ 42.77/6.65 % (6364)------------------------------ 44.60/6.73 % (6744)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_70 on theBenchmark 45.30/6.84 % (6737)Refutation not found, incomplete strategy% (6737)------------------------------ 45.30/6.84 % (6737)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 45.30/6.86 % (6737)Termination reason: Refutation not found, incomplete strategy 45.30/6.86 45.30/6.86 % (6737)Memory used [KB]: 26353 45.30/6.86 % (6737)Time elapsed: 1.440 s 45.30/6.86 % (6737)------------------------------ 45.30/6.86 % (6737)------------------------------ 45.87/6.91 % (6386)First to succeed. 45.87/6.93 % (6745)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:cases=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_45 on theBenchmark 46.36/7.03 % (6386)Refutation found. Thanks to Tanya! 46.36/7.03 % SZS status Theorem for theBenchmark 46.36/7.03 % SZS output start Proof for theBenchmark 46.36/7.03 thf(type_def_6, type, >: ($tType * $tType) > $tType). 46.36/7.03 thf(func_def_7, type, c_Eps_i: ($i > $o) > $i). 46.36/7.03 thf(func_def_10, type, c_not: $o > $o). 46.36/7.03 thf(func_def_11, type, c_and: $o > $o > $o). 46.36/7.03 thf(func_def_12, type, c_or: $o > $o > $o). 46.36/7.03 thf(func_def_13, type, c_iff: $o > $o > $o). 46.36/7.03 thf(func_def_14, type, c_In: $i > $i > $o). 46.36/7.03 thf(func_def_15, type, c_Subq: $i > $i > $o). 46.36/7.03 thf(func_def_17, type, c_Union: $i > $i). 46.36/7.03 thf(func_def_18, type, c_Power: $i > $i). 46.36/7.03 thf(func_def_19, type, c_Repl: $i > ($i > $i) > $i). 46.36/7.03 thf(func_def_20, type, c_TransSet: $i > $o). 46.36/7.03 thf(func_def_21, type, c_atleast2: $i > $o). 46.36/7.03 thf(func_def_22, type, c_atleast3: $i > $o). 46.36/7.03 thf(func_def_23, type, c_atleast4: $i > $o). 46.36/7.03 thf(func_def_24, type, c_atleast5: $i > $o). 46.36/7.03 thf(func_def_25, type, c_atleast6: $i > $o). 46.36/7.03 thf(func_def_26, type, c_exactly2: $i > $o). 46.36/7.03 thf(func_def_27, type, c_exactly3: $i > $o). 46.36/7.03 thf(func_def_28, type, c_exactly4: $i > $o). 46.36/7.03 thf(func_def_29, type, c_exactly5: $i > $o). 46.36/7.03 thf(func_def_30, type, c_exu_i: ($i > $o) > $o). 46.36/7.03 thf(func_def_31, type, c_reflexive_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_32, type, c_irreflexive_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_33, type, c_symmetric_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_34, type, c_antisymmetric_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_35, type, c_transitive_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_36, type, c_eqreln_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_37, type, c_per_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_38, type, c_linear_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_39, type, c_trichotomous_or_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_40, type, c_partialorder_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_41, type, c_totalorder_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_42, type, c_strictpartialorder_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_43, type, c_stricttotalorder_i: ($i > $i > $o) > $o). 46.36/7.03 thf(func_def_44, type, c_If_i: $o > $i > $i > $i). 46.36/7.03 thf(func_def_45, type, c_exactly1of2: $o > $o > $o). 46.36/7.03 thf(func_def_46, type, c_exactly1of3: $o > $o > $o > $o). 46.36/7.03 thf(func_def_47, type, c_nIn: $i > $i > $o). 46.36/7.03 thf(func_def_48, type, c_nSubq: $i > $i > $o). 46.36/7.03 thf(func_def_49, type, c_UPair: $i > $i > $i). 46.36/7.03 thf(func_def_50, type, c_Sing: $i > $i). 46.36/7.03 thf(func_def_51, type, c_binunion: $i > $i > $i). 46.36/7.03 thf(func_def_52, type, c_SetAdjoin: $i > $i > $i). 46.36/7.03 thf(func_def_53, type, c_famunion: $i > ($i > $i) > $i). 46.36/7.03 thf(func_def_54, type, c_Sep: $i > ($i > $o) > $i). 46.36/7.03 thf(func_def_55, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 46.36/7.03 thf(func_def_56, type, c_binintersect: $i > $i > $i). 46.36/7.03 thf(func_def_57, type, c_setminus: $i > $i > $i). 46.36/7.03 thf(func_def_58, type, c_inj: $i > $i > ($i > $i) > $o). 46.36/7.03 thf(func_def_59, type, c_bij: $i > $i > ($i > $i) > $o). 46.36/7.03 thf(func_def_60, type, c_atleastp: $i > $i > $o). 46.36/7.03 thf(func_def_61, type, c_equip: $i > $i > $o). 46.36/7.03 thf(func_def_62, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o). 46.36/7.03 thf(func_def_63, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i). 46.36/7.03 thf(func_def_64, type, c_ordsucc: $i > $i). 46.36/7.03 thf(func_def_65, type, c_nat_p: $i > $o). 46.36/7.03 thf(func_def_66, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i). 46.36/7.03 thf(func_def_67, type, c_add_nat: $i > $i > $i). 46.36/7.03 thf(func_def_68, type, c_mul_nat: $i > $i > $i). 46.36/7.03 thf(func_def_69, type, c_ordinal: $i > $o). 46.36/7.03 thf(func_def_70, type, c_V_: $i > $i). 46.36/7.03 thf(func_def_71, type, c_Inj1: $i > $i). 46.36/7.03 thf(func_def_72, type, c_Inj0: $i > $i). 46.36/7.03 thf(func_def_73, type, c_Unj: $i > $i). 46.36/7.03 thf(func_def_74, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i). 46.36/7.03 thf(func_def_75, type, c_setsum: $i > $i > $i). 46.36/7.03 thf(func_def_76, type, c_proj0: $i > $i). 46.36/7.03 thf(func_def_77, type, c_proj1: $i > $i). 46.36/7.03 thf(func_def_78, type, c_binrep: $i > $i > $i). 46.36/7.03 thf(func_def_79, type, c_lam: $i > ($i > $i) > $i). 46.36/7.03 thf(func_def_80, type, c_setprod: $i > $i > $i). 46.36/7.03 thf(func_def_81, type, c_ap: $i > $i > $i). 46.36/7.03 thf(func_def_82, type, c_setsum_p: $i > $o). 46.36/7.03 thf(func_def_83, type, c_tuple_p: $i > $i > $o). 46.36/7.03 thf(func_def_84, type, c_Pi: $i > ($i > $i) > $i). 46.36/7.03 thf(func_def_85, type, c_setexp: $i > $i > $i). 46.36/7.03 thf(func_def_86, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i). 46.36/7.03 thf(func_def_87, type, c_set_of_pairs: $i > $o). 46.36/7.03 thf(func_def_88, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i). 46.36/7.03 thf(func_def_89, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o). 46.36/7.03 thf(func_def_90, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o). 46.36/7.03 thf(func_def_91, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o). 46.36/7.03 thf(func_def_92, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o). 46.36/7.03 thf(func_def_93, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o). 46.36/7.03 thf(func_def_94, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o). 46.36/7.03 thf(func_def_95, type, c_SNoElts_: $i > $i). 46.36/7.03 thf(func_def_96, type, c_SNo_: $i > $i > $o). 46.36/7.03 thf(func_def_97, type, c_PSNo: $i > ($i > $o) > $i). 46.36/7.03 thf(func_def_98, type, c_SNo: $i > $o). 46.36/7.03 thf(func_def_99, type, c_SNoLev: $i > $i). 46.36/7.03 thf(func_def_100, type, c_SNoEq_: $i > $i > $i > $o). 46.36/7.03 thf(func_def_101, type, c_SNoLt: $i > $i > $o). 46.36/7.03 thf(func_def_102, type, c_SNoLe: $i > $i > $o). 46.36/7.03 thf(func_def_103, type, c_binop_on: $i > ($i > $i > $i) > $o). 46.36/7.03 thf(func_def_104, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o). 46.36/7.03 thf(func_def_105, type, c_Loop_with_defs: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o). 46.36/7.03 thf(func_def_106, type, c_Loop_with_defs_cex1: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o). 46.36/7.03 thf(func_def_107, type, c_Loop_with_defs_cex2: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o). 46.36/7.03 thf(func_def_108, type, c_combinator: $i > $o). 46.36/7.03 thf(func_def_109, type, c_combinator_equiv: $i > $i > $o). 46.36/7.03 thf(func_def_110, type, c_equip_mod: $i > $i > $i > $o). 46.36/7.03 thf(func_def_112, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 46.36/7.03 thf(func_def_115, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 46.36/7.03 thf(func_def_116, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 46.36/7.03 thf(func_def_117, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 46.36/7.03 thf(func_def_118, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 46.36/7.03 thf(func_def_119, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 46.36/7.03 thf(func_def_120, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 46.36/7.03 thf(func_def_121, type, vIMP: $o > $o > $o). 46.36/7.03 thf(func_def_122, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 46.36/7.03 thf(func_def_123, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 46.36/7.03 thf(func_def_124, type, sK0: ($i > $i) > ($i > $i > ($i > $i) > $i) > $i). 46.36/7.03 thf(func_def_125, type, sK1: (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i). 46.36/7.03 thf(func_def_126, type, sK2: (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i). 46.36/7.03 thf(func_def_127, type, sK3: (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i). 46.36/7.03 thf(func_def_128, type, sK4: ($i > $o) > $i). 46.36/7.03 thf(func_def_129, type, sK5: ($i > $o) > $i > $i). 46.36/7.03 thf(func_def_130, type, sK6: ($i > $o) > $i). 46.36/7.03 thf(func_def_131, type, sK7: ($i > $o) > $i). 46.36/7.03 thf(func_def_132, type, sK8: ($i > $o) > $i). 46.36/7.03 thf(func_def_133, type, sK9: ($i > $o) > $i). 46.36/7.03 thf(func_def_134, type, sK10: ($i > $o) > $i). 46.36/7.03 thf(func_def_136, type, vAND: $o > $o > $o). 46.36/7.03 thf(func_def_137, type, vOR: $o > $o > $o). 46.36/7.03 thf(func_def_138, type, vNOT: $o > $o). 46.36/7.03 thf(func_def_143, type, sK13: (($i > ($i > $i) > $i) > $i) > $i > $i). 46.36/7.03 thf(func_def_144, type, sK14: $i > (($i > ($i > $i) > $i) > $i) > $i > $o). 46.36/7.03 thf(func_def_145, type, sK15: $i > $i > $i). 46.36/7.03 thf(func_def_146, type, sK16: $i > ($i > $i) > $i > $i). 46.36/7.03 thf(func_def_147, type, sK17: $i > $i > $i). 46.36/7.03 thf(func_def_148, type, sK18: $i > $i > $i). 46.36/7.03 thf(func_def_149, type, sK19: $i > $i > $i). 46.36/7.03 thf(func_def_150, type, sK20: $i > $i > $i). 46.36/7.03 thf(func_def_151, type, sK21: $i > $i > $i). 46.36/7.03 thf(func_def_152, type, sK22: $i > $i > $i). 46.36/7.03 thf(func_def_153, type, sK23: $i > $i > $i). 46.36/7.03 thf(func_def_154, type, sK24: $i > $i > $i > $o). 46.36/7.03 thf(func_def_155, type, sK25: $i > $i > $i > $o). 46.36/7.03 thf(func_def_156, type, sK26: $i > $i > $i > $o). 46.36/7.03 thf(func_def_157, type, sK27: $i > $i > $i > $o). 46.36/7.03 thf(func_def_158, type, sK28: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_159, type, sK29: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_160, type, sK30: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_161, type, sK31: $i > ($i > $i) > $i > $i > $o). 46.36/7.03 thf(func_def_162, type, sK32: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_163, type, sK33: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_164, type, sK34: $i > ($i > $i) > $i > $i). 46.36/7.03 thf(func_def_168, type, sK38: $o > $o > $o). 46.36/7.03 thf(func_def_169, type, sK39: $o > $o > $o). 46.36/7.03 thf(func_def_170, type, sK40: $i > $i > $i > $o). 46.36/7.03 thf(func_def_171, type, sK41: $i > $i > $i > $o). 46.36/7.03 thf(func_def_172, type, sK42: $i > ($i > $i) > $i > $i > $o). 46.36/7.03 thf(func_def_173, type, sK43: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_174, type, sK44: $i > $i > $i). 46.36/7.03 thf(func_def_175, type, sK45: $i > $i > $i). 46.36/7.03 thf(func_def_176, type, sK46: $i > $i > $i). 46.36/7.03 thf(func_def_177, type, sK47: $i > $i > $i). 46.36/7.03 thf(func_def_178, type, sK48: $i > $i > $i). 46.36/7.03 thf(func_def_179, type, sK49: $i > $i > $i). 46.36/7.03 thf(func_def_180, type, sK50: $i > $i > $i). 46.36/7.03 thf(func_def_181, type, sK51: $i > $i > $i). 46.36/7.03 thf(func_def_182, type, sK52: $o > $o > $o). 46.36/7.03 thf(func_def_183, type, sK53: $o > $o > $o). 46.36/7.03 thf(func_def_192, type, sK62: $i > $i > $i). 46.36/7.03 thf(func_def_193, type, sK63: $i > $i > $i). 46.36/7.03 thf(func_def_194, type, sK64: $i > $i > $i > $o). 46.36/7.03 thf(func_def_195, type, sK65: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_196, type, sK66: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_197, type, sK67: $i > $i > $i). 46.36/7.03 thf(func_def_198, type, sK68: $i > $i > $i). 46.36/7.03 thf(func_def_199, type, sK69: $i > $i > $i > $o). 46.36/7.03 thf(func_def_200, type, sK70: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_201, type, sK71: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_202, type, sK72: $i > $i > $i). 46.36/7.03 thf(func_def_203, type, sK73: $i > $i > $i). 46.36/7.03 thf(func_def_204, type, sK74: $i > $i > $i > $o). 46.36/7.03 thf(func_def_205, type, sK75: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_206, type, sK76: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_208, type, sK78: $i > $i > $i). 46.36/7.03 thf(func_def_209, type, sK79: $i > ($i > $i) > $i > $i). 46.36/7.03 thf(func_def_211, type, sK81: $i > $i > $i). 46.36/7.03 thf(func_def_212, type, sK82: $i > $i > $i). 46.36/7.03 thf(func_def_213, type, sK83: $i > $i > $i > $o). 46.36/7.03 thf(func_def_214, type, sK84: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_215, type, sK85: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_216, type, sK86: $i > $i > $i). 46.36/7.03 thf(func_def_217, type, sK87: $i > $i > $i). 46.36/7.03 thf(func_def_218, type, sK88: $i > $i > $i > $o). 46.36/7.03 thf(func_def_219, type, sK89: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_220, type, sK90: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_221, type, sK91: $i > $i > $i). 46.36/7.03 thf(func_def_222, type, sK92: $i > ($i > $i) > $i > $i). 46.36/7.03 thf(func_def_223, type, sK93: $i > $i > $i). 46.36/7.03 thf(func_def_224, type, sK94: $i > $i > $i). 46.36/7.03 thf(func_def_225, type, sK95: $i > $i > $i > $o). 46.36/7.03 thf(func_def_226, type, sK96: $i > $i > ($i > $i) > $i > $o). 46.36/7.03 thf(func_def_227, type, sK97: ($i > $i) > $i > $i > $i). 46.36/7.03 thf(func_def_229, type, sK99: $o > $o > $o). 46.36/7.03 thf(func_def_230, type, sK100: $o > $o > $o). 46.36/7.03 thf(func_def_231, type, sK101: $i > $i > $i). 46.36/7.03 thf(func_def_232, type, sK102: $i > $i > $i). 46.36/7.03 thf(f6185,plain,( 46.36/7.03 $false), 46.36/7.03 inference(avatar_sat_refutation,[],[f1430,f5560,f6182])). 46.36/7.03 thf(f6182,plain,( 46.36/7.03 ~spl11_1), 46.36/7.03 inference(avatar_contradiction_clause,[],[f6181])). 46.36/7.03 thf(f6181,plain,( 46.36/7.03 $false | ~spl11_1), 46.36/7.03 inference(trivial_inequality_removal,[],[f6180])). 46.36/7.03 thf(f6180,plain,( 46.36/7.03 ($true = $false) | ~spl11_1), 46.36/7.03 inference(combinator_demodulation,[],[f5566])). 46.36/7.03 thf(f5566,plain,( 46.36/7.03 ( ! [X0 : $tType,X1 : X0] : (($true = ((kCOMB @ $false) @ X1))) ) | ~spl11_1), 46.36/7.03 inference(primitive_instantiation,[],[f1401])). 46.36/7.03 thf(f1401,plain,( 46.36/7.03 ( ! [X0 : $o] : (($true = X0)) ) | ~spl11_1), 46.36/7.03 inference(avatar_component_clause,[],[f1400])). 46.36/7.03 thf(f1400,plain,( 46.36/7.03 spl11_1 <=> ! [X0 : $o] : ($true = X0)), 46.36/7.03 introduced(avatar_definition,[new_symbols(naming,[spl11_1])])). 46.36/7.03 thf(f5560,plain,( 46.36/7.03 ~spl11_7), 46.36/7.03 inference(avatar_contradiction_clause,[],[f5559])). 46.36/7.03 thf(f5559,plain,( 46.36/7.03 $false | ~spl11_7), 46.36/7.03 inference(trivial_inequality_removal,[],[f5558])). 46.36/7.03 thf(f5558,plain,( 46.36/7.03 ($true = $false) | ~spl11_7), 46.36/7.03 inference(forward_demodulation,[],[f5557,f4171])). 46.36/7.03 thf(f4171,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : ((((c_In @ X1) @ X0) = $false)) ) | ~spl11_7), 46.36/7.03 inference(superposition,[],[f1429,f4125])). 46.36/7.03 thf(f4125,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i] : ((X0 = X2)) )), 46.36/7.03 inference(subsumption_resolution,[],[f4124,f451])). 46.36/7.03 thf(f451,plain,( 46.36/7.03 ( ! [X10 : $i,X11 : ($i > $i > $i > $i) > $i] : ((((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ ((bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((sCOMB @ ((bCOMB @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ ((bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ ((c_Repl @ (c_Union @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ c_Empty) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10)) )), 46.36/7.03 inference(combinator_demodulation,[],[f393])). 46.36/7.03 thf(f393,plain,( 46.36/7.03 ( ! [X10 : $i,X11 : ($i > $i > $i > $i) > $i] : ((((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl)))) @ c_Empty)) @ ((sCOMB @ ((bCOMB @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl)))) @ ((((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl)))) @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10)) )), 46.36/7.03 inference(definition_unfolding,[],[f317,f384,f384,f384,f384])). 46.36/7.03 thf(f384,plain,( 46.36/7.03 (c_setsum = ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl)))))), 46.36/7.03 inference(definition_unfolding,[],[f370,f375,f383,f382])). 46.36/7.03 thf(f382,plain,( 46.36/7.03 (c_Inj1 = (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl)))), 46.36/7.03 inference(definition_unfolding,[],[f372,f375])). 46.36/7.03 thf(f372,plain,( 46.36/7.03 (c_Inj1 = (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (c_binunion @ (c_Sing @ c_Empty)))) @ c_Repl)))), 46.36/7.03 inference(cnf_transformation,[],[f262])). 46.36/7.03 thf(f262,plain,( 46.36/7.03 (c_Inj1 = (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (c_binunion @ (c_Sing @ c_Empty)))) @ c_Repl)))), 46.36/7.03 inference(fool_elimination,[],[f57])). 46.36/7.03 thf(f57,axiom,( 46.36/7.03 (c_Inj1 = (c_In_rec_poly_i @ (^[X0 : $i, X1 : $i > $i] : (((c_binunion @ (c_Sing @ c_Empty)) @ ((c_Repl @ X0) @ (^[X2 : $i] : ((X1 @ X2)))))))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69)). 46.36/7.03 thf(f383,plain,( 46.36/7.03 (c_Inj0 = ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))), 46.36/7.03 inference(definition_unfolding,[],[f371,f382])). 46.36/7.03 thf(f371,plain,( 46.36/7.03 (c_Inj0 = ((cCOMB @ c_Repl) @ c_Inj1))), 46.36/7.03 inference(cnf_transformation,[],[f263])). 46.36/7.03 thf(f263,plain,( 46.36/7.03 (c_Inj0 = ((cCOMB @ c_Repl) @ c_Inj1))), 46.36/7.03 inference(fool_elimination,[],[f106])). 46.36/7.03 thf(f106,axiom,( 46.36/7.03 (c_Inj0 = (^[X0 : $i] : (((c_Repl @ X0) @ (^[X1 : $i] : ((c_Inj1 @ X1)))))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70)). 46.36/7.03 thf(f375,plain,( 46.36/7.03 (c_binunion = ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair))), 46.36/7.03 inference(cnf_transformation,[],[f233])). 46.36/7.03 thf(f233,plain,( 46.36/7.03 (c_binunion = ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair))), 46.36/7.03 inference(fool_elimination,[],[f93])). 46.36/7.03 thf(f93,axiom,( 46.36/7.03 (c_binunion = (^[X0 : $i, X1 : $i] : ((c_Union @ ((c_UPair @ X0) @ X1)))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49)). 46.36/7.03 thf(f370,plain,( 46.36/7.03 (c_setsum = ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_binunion) @ ((cCOMB @ c_Repl) @ c_Inj0)))) @ ((cCOMB @ c_Repl) @ c_Inj1)))), 46.36/7.03 inference(cnf_transformation,[],[f267])). 46.36/7.03 thf(f267,plain,( 46.36/7.03 (c_setsum = ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_binunion) @ ((cCOMB @ c_Repl) @ c_Inj0)))) @ ((cCOMB @ c_Repl) @ c_Inj1)))), 46.36/7.03 inference(fool_elimination,[],[f266])). 46.36/7.03 thf(f266,plain,( 46.36/7.03 (c_setsum = (^[X0 : $i, X1 : $i] : (((c_binunion @ ((c_Repl @ X0) @ (^[X2 : $i] : ((c_Inj0 @ X2))))) @ ((c_Repl @ X1) @ (^[X3 : $i] : ((c_Inj1 @ X3))))))))), 46.36/7.03 inference(rectify,[],[f109])). 46.36/7.03 thf(f109,axiom,( 46.36/7.03 (c_setsum = (^[X0 : $i, X1 : $i] : (((c_binunion @ ((c_Repl @ X0) @ (^[X2 : $i] : ((c_Inj0 @ X2))))) @ ((c_Repl @ X1) @ (^[X2 : $i] : ((c_Inj1 @ X2))))))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73)). 46.36/7.03 thf(f317,plain,( 46.36/7.03 ( ! [X10 : $i,X11 : ($i > $i > $i > $i) > $i] : ((((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10)) )), 46.36/7.03 inference(cnf_transformation,[],[f301])). 46.36/7.03 thf(f301,plain,( 46.36/7.03 (c_False != $true) & ((c_Inj0 @ c_Empty) = ((sK0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) & ! [X4 : $i > $i,X5 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((sK0 @ (kCOMB @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((sK2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X5 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((sK2 @ (kCOMB @ (X4 @ (X4 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) & ! [X6 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X7 : (($i > $i) > $i) > $i,X8 : $i > $i,X9 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((sK2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ sK2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X6 @ (kCOMB @ (kCOMB @ (kCOMB @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((sK3 @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((sK3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((sK3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ sK0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((sK0 @ (kCOMB @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X8 @ ((((X9 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X7 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) & ! [X10,X11 : ($i > $i > $i > $i) > $i] : (((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10) & ! [X12 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X13] : ((((sK2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X13)) @ ((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ sK3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X12 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (sK3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) & ! [X14 : $i > ($i > $i) > ($i > $i) > $i > $i,X15 : $i > $i > ($i > $i) > $i,X16 : $i > $i] : ((((sK2 @ (kCOMB @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((sK0 @ ((cCOMB @ c_setsum) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X14 @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X15 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((sK0 @ (kCOMB @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X16) @ ((cCOMB @ c_setsum) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) & ! [X17 : ($i > ($i > $i) > $i) > $i] : (((c_setsum @ c_Empty) @ (X17 @ (kCOMB @ (kCOMB @ c_Empty)))) = ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)) & ! [X18,X19,X20 : ($i > $i) > $i] : (((c_setsum @ X19) @ X18) = ((sK3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (sK2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((sK0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((sK2 @ (kCOMB @ ((c_setsum @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X19)) @ (((sK2 @ (kCOMB @ (X20 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X18)))), 46.36/7.03 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f299,f300])). 46.36/7.03 thf(f300,plain,( 46.36/7.03 ? [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : ((c_False != $true) & ((c_Inj0 @ c_Empty) = ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) & ! [X4 : $i > $i,X5 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (kCOMB @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((X2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X5 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((X2 @ (kCOMB @ (X4 @ (X4 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) & ! [X6 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X7 : (($i > $i) > $i) > $i,X8 : $i > $i,X9 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ X2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X6 @ (kCOMB @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ X0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X8 @ ((((X9 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X7 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) & ! [X10,X11 : ($i > $i > $i > $i) > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10) & ! [X12 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X13] : ((((X2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X13)) @ ((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ X3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X12 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (X3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) & ! [X14 : $i > ($i > $i) > ($i > $i) > $i > $i,X15 : $i > $i > ($i > $i) > $i,X16 : $i > $i] : ((((X2 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X0 @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X14 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X15 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X16) @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) & ! [X17 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X17 @ (kCOMB @ (kCOMB @ c_Empty))))) & ! [X18,X19,X20 : ($i > $i) > $i] : (((c_setsum @ X19) @ X18) = ((X3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (X2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (kCOMB @ ((c_setsum @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X19)) @ (((X2 @ (kCOMB @ (X20 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X18)))) => ((c_False != $true) & ((c_Inj0 @ c_Empty) = ((sK0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) & ! [X5 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i,X4 : $i > $i] : (((sK0 @ (kCOMB @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((sK2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X5 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((sK2 @ (kCOMB @ (X4 @ (X4 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) & ! [X9 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i,X8 : $i > $i,X7 : (($i > $i) > $i) > $i,X6 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i] : (((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((sK2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ sK2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X6 @ (kCOMB @ (kCOMB @ (kCOMB @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((sK3 @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((sK3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((sK3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ sK0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((sK0 @ (kCOMB @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X8 @ ((((X9 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X7 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) & ! [X11 : ($i > $i > $i > $i) > $i,X10] : (((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10) & ! [X13,X12 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i] : ((((sK2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X13)) @ ((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ sK3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X12 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (sK3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((sK2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) & ! [X16 : $i > $i,X15 : $i > $i > ($i > $i) > $i,X14 : $i > ($i > $i) > ($i > $i) > $i > $i] : ((((sK2 @ (kCOMB @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((sK0 @ ((cCOMB @ c_setsum) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X14 @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X15 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((sK0 @ (kCOMB @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X16) @ ((cCOMB @ c_setsum) @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) & ! [X17 : ($i > ($i > $i) > $i) > $i] : (((c_setsum @ c_Empty) @ (X17 @ (kCOMB @ (kCOMB @ c_Empty)))) = ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)) & ! [X20 : ($i > $i) > $i,X19,X18] : (((c_setsum @ X19) @ X18) = ((sK3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (sK2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((sK0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((sK1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((sK2 @ (kCOMB @ ((c_setsum @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X19)) @ (((sK2 @ (kCOMB @ (X20 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((sK0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X18))))), 46.36/7.03 introduced(choice_axiom,[])). 46.36/7.03 thf(f299,plain,( 46.36/7.03 ? [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : ((c_False != $true) & ((c_Inj0 @ c_Empty) = ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) & ! [X4 : $i > $i,X5 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (kCOMB @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((X2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X5 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((X2 @ (kCOMB @ (X4 @ (X4 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) & ! [X6 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X7 : (($i > $i) > $i) > $i,X8 : $i > $i,X9 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ X2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X6 @ (kCOMB @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ X0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X8 @ ((((X9 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X7 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) & ! [X10,X11 : ($i > $i > $i > $i) > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X11) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X10) & ! [X12 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X13] : ((((X2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X13)) @ ((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ X3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X12 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (X3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) & ! [X14 : $i > ($i > $i) > ($i > $i) > $i > $i,X15 : $i > $i > ($i > $i) > $i,X16 : $i > $i] : ((((X2 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X0 @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X14 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X15 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X16) @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) & ! [X17 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X17 @ (kCOMB @ (kCOMB @ c_Empty))))) & ! [X18,X19,X20 : ($i > $i) > $i] : (((c_setsum @ X19) @ X18) = ((X3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (X2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (kCOMB @ ((c_setsum @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X19)) @ (((X2 @ (kCOMB @ (X20 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X18))))), 46.36/7.03 inference(rectify,[],[f291])). 46.36/7.03 thf(f291,plain,( 46.36/7.03 ? [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : ((c_False != $true) & ((c_Inj0 @ c_Empty) = ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) & ! [X19 : $i > $i,X20 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (kCOMB @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((X2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X20 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((X2 @ (kCOMB @ (X19 @ (X19 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) & ! [X15 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X16 : (($i > $i) > $i) > $i,X17 : $i > $i,X18 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ X2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X15 @ (kCOMB @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ X0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X17 @ ((((X18 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X16 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) & ! [X13,X14 : ($i > $i > $i > $i) > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X14) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X13) & ! [X11 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X12] : ((((X2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X12)) @ ((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ X3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X11 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (X3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) & ! [X8 : $i > ($i > $i) > ($i > $i) > $i > $i,X9 : $i > $i > ($i > $i) > $i,X10 : $i > $i] : ((((X2 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X0 @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X8 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X9 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X10) @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) & ! [X7 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X7 @ (kCOMB @ (kCOMB @ c_Empty))))) & ! [X4,X5,X6 : ($i > $i) > $i] : (((c_setsum @ X5) @ X4) = ((X3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (X2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (kCOMB @ ((c_setsum @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X5)) @ (((X2 @ (kCOMB @ (X6 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X4))))), 46.36/7.03 inference(flattening,[],[f290])). 46.36/7.03 thf(f290,plain,( 46.36/7.03 ? [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : (((((((((c_False != $true) & ((c_Inj0 @ c_Empty) = ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty)))))))) & ! [X19 : $i > $i,X20 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (kCOMB @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((X2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X20 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((X2 @ (kCOMB @ (X19 @ (X19 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))) & ! [X15 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X16 : (($i > $i) > $i) > $i,X17 : $i > $i,X18 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ X2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X15 @ (kCOMB @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ X0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X17 @ ((((X18 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X16 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))))) & ! [X13,X14 : ($i > $i > $i > $i) > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X14) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X13)) & ! [X11 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X12] : ((((X2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X12)) @ ((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ X3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X11 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (X3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty)))) & ! [X8 : $i > ($i > $i) > ($i > $i) > $i > $i,X9 : $i > $i > ($i > $i) > $i,X10 : $i > $i] : ((((X2 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X0 @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X8 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X9 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X10) @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty)))))) & ! [X7 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X7 @ (kCOMB @ (kCOMB @ c_Empty)))))) & ! [X4,X5,X6 : ($i > $i) > $i] : (((c_setsum @ X5) @ X4) = ((X3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (X2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (kCOMB @ ((c_setsum @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X5)) @ (((X2 @ (kCOMB @ (X6 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X4))))), 46.36/7.03 inference(ennf_transformation,[],[f288])). 46.36/7.03 thf(f288,plain,( 46.36/7.03 ~! [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : (! [X4,X5,X6 : ($i > $i) > $i] : (((c_setsum @ X5) @ X4) = ((X3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (X2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (kCOMB @ ((c_setsum @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X5)) @ (((X2 @ (kCOMB @ (X6 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X4))) => (! [X7 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X7 @ (kCOMB @ (kCOMB @ c_Empty))))) => (! [X8 : $i > ($i > $i) > ($i > $i) > $i > $i,X9 : $i > $i > ($i > $i) > $i,X10 : $i > $i] : ((((X2 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X0 @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X8 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X9 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X10) @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) => (! [X11 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X12] : ((((X2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X12)) @ ((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ X3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X11 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (X3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) => (! [X13,X14 : ($i > $i > $i > $i) > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X14) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X13) => (! [X15 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X16 : (($i > $i) > $i) > $i,X17 : $i > $i,X18 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ X2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X15 @ (kCOMB @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ X0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X17 @ ((((X18 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X16 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) => (! [X19 : $i > $i,X20 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (kCOMB @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((X2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X20 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((X2 @ (kCOMB @ (X19 @ (X19 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) => (((c_Inj0 @ c_Empty) = ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) => (c_False = $true)))))))))), 46.36/7.03 inference(rectify,[],[f113])). 46.36/7.03 thf(f113,plain,( 46.36/7.03 ~! [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : (! [X4,X5,X7 : ($i > $i) > $i] : (((c_setsum @ X5) @ X4) = ((X3 @ (kCOMB @ ((cCOMB @ ((bCOMB @ (X2 @ (kCOMB @ c_Empty))) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ (c_Inj1 @ c_Empty))) @ (c_Inj0 @ c_Empty)))))))) @ ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (kCOMB @ ((c_setsum @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ X5)) @ (((X2 @ (kCOMB @ (X7 @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ kCOMB) @ kCOMB)) @ X4))) => (! [X39 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X39 @ (kCOMB @ (kCOMB @ c_Empty))))) => (! [X47 : $i > ($i > $i) > ($i > $i) > $i > $i,X48 : $i > $i > ($i > $i) > $i,X50 : $i > $i] : ((((X2 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((X0 @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty))))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))))) @ ((((X47 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (kCOMB @ ((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X48 @ c_Empty) @ c_Empty) @ (kCOMB @ c_Empty)))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) = ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (c_setsum @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))) @ c_Inj1)))))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X50) @ ((cCOMB @ c_setsum) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))) @ c_Empty))))) => (! [X102 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X105] : ((((X2 @ (kCOMB @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ c_Empty)))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ ((c_setsum @ c_Empty) @ X105)) @ ((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ X3) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ (kCOMB @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))))) @ c_Empty) = ((X102 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (X3 @ (kCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ (kCOMB @ c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ ((cCOMB @ iCOMB) @ c_Empty))))) @ (kCOMB @ c_Empty))) => (! [X147,X149 : ($i > $i > $i > $i) > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ (c_setsum @ c_Empty)) @ ((sCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ X149) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ (c_setsum @ ((c_setsum @ c_Empty) @ c_Empty))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) = X147) => (! [X161 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X162 : (($i > $i) > $i) > $i,X163 : $i > $i,X164 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ (bCOMB @ kCOMB)) @ (cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((sCOMB @ ((cCOMB @ ((bCOMB @ X2) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))))) @ ((bCOMB @ c_Inj0) @ ((cCOMB @ iCOMB) @ c_Empty))))))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty))) = (((X161 @ (kCOMB @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))) @ (c_Inj1 @ c_Empty))))))))) @ (kCOMB @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((c_setsum @ c_Empty) @ c_Empty)))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ X0) @ ((bCOMB @ kCOMB) @ ((cCOMB @ iCOMB) @ (kCOMB @ (kCOMB @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty)))))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((X0 @ (kCOMB @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X163 @ ((((X164 @ c_Empty) @ (kCOMB @ c_Empty)) @ (kCOMB @ c_Empty)) @ c_Empty))))) @ (X162 @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty))))) => (! [X235 : $i > $i,X237 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (kCOMB @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty)))))) @ (kCOMB @ (kCOMB @ (kCOMB @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ c_Empty))))) @ (c_Inj1 @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))) @ (kCOMB @ c_Empty))))))) @ c_Empty))))) = (((X2 @ ((cCOMB @ ((bCOMB @ c_setsum) @ ((cCOMB @ ((cCOMB @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ (kCOMB @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ (c_Inj0 @ (c_Inj0 @ c_Empty))))) @ ((X1 @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj0 @ c_Empty))))))) @ (kCOMB @ (c_Inj1 @ ((X3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))))) @ ((bCOMB @ (bCOMB @ kCOMB)) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ c_setsum) @ ((bCOMB @ ((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ (c_Inj1 @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))))))) @ ((bCOMB @ ((X237 @ (kCOMB @ (kCOMB @ ((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ c_Empty))) @ kCOMB))))) @ ((cCOMB @ iCOMB) @ (kCOMB @ (c_Inj1 @ ((X0 @ (kCOMB @ c_Empty)) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))))))))) @ (((X2 @ (kCOMB @ (X235 @ (X235 @ ((c_setsum @ c_Empty) @ c_Empty))))) @ (kCOMB @ (kCOMB @ (kCOMB @ c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty)))) => (((c_Inj0 @ c_Empty) = ((X0 @ iCOMB) @ (kCOMB @ (kCOMB @ (kCOMB @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))))) => (c_False = $true)))))))))), 46.36/7.03 inference(fool_elimination,[],[f112])). 46.36/7.03 thf(f112,plain,( 46.36/7.03 ~! [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : (! [X4,X5,X7 : ($i > $i) > $i] : (((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : ((((X2 @ (^[X10 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : (((c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty))) @ ((X9 @ (c_Inj1 @ c_Empty)) @ (c_Inj0 @ c_Empty)))))) @ ((X0 @ (^[X14 : $i] : (X14))) @ (^[X15 : $i, X16 : $i, X17 : $i > $i] : (((c_setsum @ ((X1 @ (^[X18 : $i > (($i > $i) > $i > $i) > $i > $i, X19 : $i, X20 : $i, X21 : $i > $i, X22 : $i] : (c_Empty))) @ (^[X23 : $i > ($i > $i) > $i] : (c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (^[X24 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ ((X3 @ (^[X25 : (($i > $i > $i) > $i > $i) > $i, X26 : $i > $i > $i] : (c_Empty))) @ X5)) @ (((X2 @ (^[X27 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X7 @ (^[X28 : $i] : (c_Empty)))))) @ (^[X29 : $i, X30 : ($i > $i) > $i, X31 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))) @ ((X0 @ (^[X32 : $i] : (c_Empty))) @ (^[X33 : $i, X34 : $i, X35 : $i > $i] : (c_Empty)))))))) @ (^[X36 : $i, X37 : ($i > $i) > $i, X38 : $i > $i] : (X36))) @ X4)) = ((c_setsum @ X5) @ X4)) => (! [X39 : ($i > ($i > $i) > $i) > $i] : (((X3 @ (^[X43 : (($i > $i > $i) > $i > $i) > $i, X44 : $i > $i > $i] : (c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X39 @ (^[X45 : $i, X46 : $i > $i] : (c_Empty))))) => (! [X47 : $i > ($i > $i) > ($i > $i) > $i > $i,X48 : $i > $i > ($i > $i) > $i,X50 : $i > $i] : ((((X2 @ (^[X51 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((X0 @ (^[X52 : $i] : (c_Empty))) @ (^[X53 : $i, X54 : $i, X55 : $i > $i] : ((c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (^[X56 : $i, X57 : ($i > $i) > $i, X58 : $i > $i] : (((c_setsum @ ((X0 @ (^[X59 : $i] : (((c_setsum @ X59) @ ((X1 @ (^[X60 : $i > (($i > $i) > $i > $i) > $i > $i, X61 : $i, X62 : $i, X63 : $i > $i, X64 : $i] : (c_Empty))) @ (^[X65 : $i > ($i > $i) > $i] : (c_Empty))))))) @ (^[X66 : $i, X67 : $i, X68 : $i > $i] : (((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (^[X69 : (($i > $i > $i) > $i > $i) > $i, X70 : $i > $i > $i] : (c_Empty))) @ c_Empty))))))) @ ((((X47 @ ((X3 @ (^[X71 : (($i > $i > $i) > $i > $i) > $i, X72 : $i > $i > $i] : (c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (^[X73 : $i] : (((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty))))) @ (^[X74 : $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X48 @ c_Empty) @ c_Empty) @ (^[X75 : $i] : (c_Empty)))))))) @ ((X1 @ (^[X76 : $i > (($i > $i) > $i > $i) > $i > $i, X77 : $i, X78 : $i, X79 : $i > $i, X80 : $i] : (c_Empty))) @ (^[X81 : $i > ($i > $i) > $i] : (c_Empty))))) = ((X0 @ (^[X82 : $i] : (((X0 @ (^[X83 : $i] : (c_Empty))) @ (^[X84 : $i, X85 : $i, X86 : $i > $i] : (((c_setsum @ ((X1 @ (^[X87 : $i > (($i > $i) > $i > $i) > $i > $i, X88 : $i, X89 : $i, X90 : $i > $i, X91 : $i] : (c_Empty))) @ (^[X92 : $i > ($i > $i) > $i] : (c_Empty)))) @ (c_Inj1 @ X85)))))))) @ (^[X93 : $i, X94 : $i, X95 : $i > $i] : (((c_setsum @ (X50 @ ((c_setsum @ X94) @ ((X1 @ (^[X96 : $i > (($i > $i) > $i > $i) > $i > $i, X97 : $i, X98 : $i, X99 : $i > $i, X100 : $i] : (c_Empty))) @ (^[X101 : $i > ($i > $i) > $i] : (c_Empty)))))) @ c_Empty))))) => (! [X102 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X105] : ((((X2 @ (^[X106 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (^[X107 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X108 : $i, X109 : ($i > $i) > $i, X110 : $i > $i] : (c_Empty))) @ c_Empty)) @ ((X3 @ (^[X111 : (($i > $i > $i) > $i > $i) > $i, X112 : $i > $i > $i] : (c_Empty))) @ c_Empty))) @ c_Empty))))) @ (^[X113 : $i, X114 : ($i > $i) > $i, X115 : $i > $i] : (((c_setsum @ ((c_setsum @ c_Empty) @ X105)) @ ((X1 @ (^[X116 : $i > (($i > $i) > $i > $i) > $i > $i, X117 : $i, X118 : $i, X119 : $i > $i, X120 : $i] : (((X3 @ (^[X121 : (($i > $i > $i) > $i > $i) > $i, X122 : $i > $i > $i] : ((X119 @ c_Empty)))) @ X117)))) @ (^[X123 : $i > ($i > $i) > $i] : ((c_Inj1 @ ((X1 @ (^[X124 : $i > (($i > $i) > $i > $i) > $i > $i, X125 : $i, X126 : $i, X127 : $i > $i, X128 : $i] : (c_Empty))) @ (^[X129 : $i > ($i > $i) > $i] : (c_Empty))))))))))) @ c_Empty) = ((X102 @ (^[X130 : $i, X131 : $i > $i, X132 : $i] : (((X3 @ (^[X133 : (($i > $i > $i) > $i > $i) > $i, X134 : $i > $i > $i] : (((X134 @ ((X1 @ (^[X135 : $i > (($i > $i) > $i > $i) > $i > $i, X136 : $i, X137 : $i, X138 : $i > $i, X139 : $i] : ((((X2 @ (^[X140 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X141 : $i, X142 : ($i > $i) > $i, X143 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (^[X144 : $i > ($i > $i) > $i] : (c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ (X131 @ c_Empty))))) @ (^[X145 : $i > $i] : (c_Empty)))) => (! [X147,X149 : ($i > $i > $i > $i) > $i] : (((X1 @ (^[X150 : $i > (($i > $i) > $i > $i) > $i > $i, X151 : $i, X152 : $i, X153 : $i > $i, X154 : $i] : (X151))) @ (^[X155 : $i > ($i > $i) > $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ (X149 @ (^[X156 : $i, X157 : $i, X158 : $i] : (((X155 @ c_Empty) @ (^[X159 : $i] : (c_Empty))))))) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X155 @ c_Empty) @ (^[X160 : $i] : (c_Empty))))))))) = X147) => (! [X161 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X162 : (($i > $i) > $i) > $i,X163 : $i > $i,X164 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (^[X165 : $i > (($i > $i) > $i > $i) > $i > $i, X166 : $i, X167 : $i, X168 : $i > $i, X169 : $i] : (((c_setsum @ (((X2 @ (^[X170 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (^[X171 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X172 : $i, X173 : ($i > $i) > $i, X174 : $i > $i] : (c_Empty))) @ c_Empty))))) @ (^[X175 : $i, X176 : ($i > $i) > $i, X177 : $i > $i] : ((((X2 @ (^[X178 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X176 @ (^[X179 : $i] : (c_Empty)))))) @ (^[X180 : $i, X181 : ($i > $i) > $i, X182 : $i > $i] : ((((X2 @ (^[X183 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X184 : $i, X185 : ($i > $i) > $i, X186 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (X176 @ (^[X187 : $i] : (c_Empty))))))) @ (c_Inj0 @ (X168 @ c_Empty)))) @ X166)))) @ (^[X188 : $i > ($i > $i) > $i] : (((X188 @ c_Empty) @ (^[X189 : $i] : (c_Empty)))))) = (((X161 @ (^[X190 : ($i > $i) > $i > $i, X191 : $i, X192 : $i] : (((X1 @ (^[X193 : $i > (($i > $i) > $i > $i) > $i > $i, X194 : $i, X195 : $i, X196 : $i > $i, X197 : $i] : (((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (^[X198 : (($i > $i > $i) > $i > $i) > $i, X199 : $i > $i > $i] : ((((X2 @ (^[X200 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X201 : $i, X202 : ($i > $i) > $i, X203 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (c_Inj1 @ c_Empty)))))) @ (^[X204 : $i > ($i > $i) > $i] : (((X3 @ (^[X205 : (($i > $i > $i) > $i > $i) > $i, X206 : $i > $i > $i] : (((c_setsum @ (X205 @ (^[X207 : $i > $i > $i, X208 : $i] : (c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ (^[X209 : (($i > $i > $i) > $i > $i) > $i, X210 : $i > $i > $i] : (((X0 @ (^[X211 : $i] : ((X209 @ (^[X212 : $i > $i > $i, X213 : $i] : (((X1 @ (^[X214 : $i > (($i > $i) > $i > $i) > $i > $i, X215 : $i, X216 : $i, X217 : $i > $i, X218 : $i] : (c_Empty))) @ (^[X219 : $i > ($i > $i) > $i] : (c_Empty))))))))) @ (^[X220 : $i, X221 : $i, X222 : $i > $i] : (((X0 @ (^[X223 : $i] : (((X0 @ (^[X224 : $i] : (c_Empty))) @ (^[X225 : $i, X226 : $i, X227 : $i > $i] : (c_Empty)))))) @ (^[X228 : $i, X229 : $i, X230 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X163 @ ((((X164 @ c_Empty) @ (^[X231 : $i > $i] : (c_Empty))) @ (^[X232 : $i] : (c_Empty))) @ c_Empty))))) @ (X162 @ (^[X233 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))))) => (! [X235 : $i > $i,X237 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (^[X238 : $i] : (((X3 @ (^[X239 : (($i > $i > $i) > $i > $i) > $i, X240 : $i > $i > $i] : (c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (^[X241 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X242 : $i, X243 : ($i > $i) > $i, X244 : $i > $i] : (c_Empty))) @ c_Empty))))))) @ (^[X245 : $i, X246 : $i, X247 : $i > $i] : ((((X2 @ (^[X248 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X249 : $i, X250 : ($i > $i) > $i, X251 : $i > $i] : (((c_setsum @ (((X2 @ (^[X252 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X253 : $i, X254 : ($i > $i) > $i, X255 : $i > $i] : (c_Empty))) @ (X250 @ (^[X256 : $i] : (c_Empty))))) @ (c_Inj1 @ ((X1 @ (^[X257 : $i > (($i > $i) > $i > $i) > $i > $i, X258 : $i, X259 : $i, X260 : $i > $i, X261 : $i] : (c_Empty))) @ (^[X262 : $i > ($i > $i) > $i] : (c_Empty)))))))) @ c_Empty)))) = (((X2 @ (^[X263 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ ((((X263 @ c_Empty) @ (^[X264 : $i > $i, X265 : $i] : ((c_Inj1 @ (c_Inj0 @ c_Empty))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (^[X266 : (($i > $i > $i) > $i > $i) > $i, X267 : $i > $i > $i] : (c_Empty))) @ c_Empty))) @ (c_Inj0 @ (c_Inj0 @ c_Empty)))) @ ((X1 @ (^[X268 : $i > (($i > $i) > $i > $i) > $i > $i, X269 : $i, X270 : $i, X271 : $i > $i, X272 : $i] : ((c_Inj0 @ c_Empty)))) @ (^[X273 : $i > ($i > $i) > $i] : ((c_Inj1 @ ((X3 @ (^[X274 : (($i > $i > $i) > $i > $i) > $i, X275 : $i > $i > $i] : (c_Empty))) @ c_Empty))))))))) @ (^[X276 : $i, X277 : ($i > $i) > $i, X278 : $i > $i] : (((c_setsum @ (((X2 @ (^[X279 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X280 : $i, X281 : ($i > $i) > $i, X282 : $i > $i] : ((c_Inj1 @ (((X2 @ (^[X283 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X284 : $i, X285 : ($i > $i) > $i, X286 : $i > $i] : (c_Empty))) @ c_Empty))))) @ (((X237 @ (^[X287 : $i, X288 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (^[X289 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X290 : $i, X291 : ($i > $i) > $i, X292 : $i > $i] : (c_Empty))) @ c_Empty)) @ (^[X293 : $i] : (X276))))) @ (X277 @ (^[X294 : $i] : ((c_Inj1 @ ((X0 @ (^[X295 : $i] : (c_Empty))) @ (^[X296 : $i, X297 : $i, X298 : $i > $i] : (c_Empty))))))))))) @ (((X2 @ (^[X299 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X235 @ (X235 @ ((c_setsum @ c_Empty) @ c_Empty)))))) @ (^[X300 : $i, X301 : ($i > $i) > $i, X302 : $i > $i] : (c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty)))) => ((((X0 @ (^[X307 : $i] : (X307))) @ (^[X308 : $i, X309 : $i, X310 : $i > $i] : (((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))) = (c_Inj0 @ c_Empty)) => c_False))))))))), 46.36/7.03 inference(rectify,[],[f60])). 46.36/7.03 thf(f60,negated_conjecture,( 46.36/7.03 ~! [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : (! [X4,X5,X6,X7 : ($i > $i) > $i] : (((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : ((((X2 @ (^[X10 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X10 : $i, X11 : ($i > $i) > $i, X12 : $i > $i] : (((c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty))) @ ((X9 @ (c_Inj1 @ c_Empty)) @ (c_Inj0 @ c_Empty)))))) @ ((X0 @ (^[X10 : $i] : (X10))) @ (^[X10 : $i, X11 : $i, X12 : $i > $i] : (((c_setsum @ ((X1 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i, X14 : $i, X15 : $i, X16 : $i > $i, X17 : $i] : (c_Empty))) @ (^[X13 : $i > ($i > $i) > $i] : (c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ ((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ X5)) @ (((X2 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X7 @ (^[X10 : $i] : (c_Empty)))))) @ (^[X9 : $i, X10 : ($i > $i) > $i, X11 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))) @ ((X0 @ (^[X9 : $i] : (c_Empty))) @ (^[X9 : $i, X10 : $i, X11 : $i > $i] : (c_Empty)))))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (X8))) @ X4)) = ((c_setsum @ X5) @ X4)) => (! [X4 : ($i > ($i > $i) > $i) > $i,X5,X6,X7] : (((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : (c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X4 @ (^[X8 : $i, X9 : $i > $i] : (c_Empty))))) => (! [X4 : $i > ($i > $i) > ($i > $i) > $i > $i,X5 : $i > $i > ($i > $i) > $i,X6,X7 : $i > $i] : ((((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((X0 @ (^[X9 : $i] : (c_Empty))) @ (^[X9 : $i, X10 : $i, X11 : $i > $i] : ((c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (((c_setsum @ ((X0 @ (^[X11 : $i] : (((c_setsum @ X11) @ ((X1 @ (^[X12 : $i > (($i > $i) > $i > $i) > $i > $i, X13 : $i, X14 : $i, X15 : $i > $i, X16 : $i] : (c_Empty))) @ (^[X12 : $i > ($i > $i) > $i] : (c_Empty))))))) @ (^[X11 : $i, X12 : $i, X13 : $i > $i] : (((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (^[X11 : (($i > $i > $i) > $i > $i) > $i, X12 : $i > $i > $i] : (c_Empty))) @ c_Empty))))))) @ ((((X4 @ ((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : (c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (^[X8 : $i] : (((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty))))) @ (^[X8 : $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X5 @ c_Empty) @ c_Empty) @ (^[X9 : $i] : (c_Empty)))))))) @ ((X1 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i, X9 : $i, X10 : $i, X11 : $i > $i, X12 : $i] : (c_Empty))) @ (^[X8 : $i > ($i > $i) > $i] : (c_Empty))))) = ((X0 @ (^[X8 : $i] : (((X0 @ (^[X9 : $i] : (c_Empty))) @ (^[X9 : $i, X10 : $i, X11 : $i > $i] : (((c_setsum @ ((X1 @ (^[X12 : $i > (($i > $i) > $i > $i) > $i > $i, X13 : $i, X14 : $i, X15 : $i > $i, X16 : $i] : (c_Empty))) @ (^[X12 : $i > ($i > $i) > $i] : (c_Empty)))) @ (c_Inj1 @ X10)))))))) @ (^[X8 : $i, X9 : $i, X10 : $i > $i] : (((c_setsum @ (X7 @ ((c_setsum @ X9) @ ((X1 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i, X12 : $i, X13 : $i, X14 : $i > $i, X15 : $i] : (c_Empty))) @ (^[X11 : $i > ($i > $i) > $i] : (c_Empty)))))) @ c_Empty))))) => (! [X4 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X5,X6,X7] : ((((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X9 : $i, X10 : ($i > $i) > $i, X11 : $i > $i] : (c_Empty))) @ c_Empty)) @ ((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ c_Empty))) @ c_Empty))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (((c_setsum @ ((c_setsum @ c_Empty) @ X7)) @ ((X1 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i, X12 : $i, X13 : $i, X14 : $i > $i, X15 : $i] : (((X3 @ (^[X16 : (($i > $i > $i) > $i > $i) > $i, X17 : $i > $i > $i] : ((X14 @ c_Empty)))) @ X12)))) @ (^[X11 : $i > ($i > $i) > $i] : ((c_Inj1 @ ((X1 @ (^[X12 : $i > (($i > $i) > $i > $i) > $i > $i, X13 : $i, X14 : $i, X15 : $i > $i, X16 : $i] : (c_Empty))) @ (^[X12 : $i > ($i > $i) > $i] : (c_Empty))))))))))) @ c_Empty) = ((X4 @ (^[X8 : $i, X9 : $i > $i, X10 : $i] : (((X3 @ (^[X11 : (($i > $i > $i) > $i > $i) > $i, X12 : $i > $i > $i] : (((X12 @ ((X1 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i, X14 : $i, X15 : $i, X16 : $i > $i, X17 : $i] : ((((X2 @ (^[X18 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X18 : $i, X19 : ($i > $i) > $i, X20 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (^[X13 : $i > ($i > $i) > $i] : (c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ (X9 @ c_Empty))))) @ (^[X8 : $i > $i] : (c_Empty)))) => (! [X4 : ($i > $i > $i > $i) > $i,X5,X6,X7 : ($i > $i > $i > $i) > $i] : (((X1 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i, X9 : $i, X10 : $i, X11 : $i > $i, X12 : $i] : (X9))) @ (^[X8 : $i > ($i > $i) > $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ (X7 @ (^[X9 : $i, X10 : $i, X11 : $i] : (((X8 @ c_Empty) @ (^[X12 : $i] : (c_Empty))))))) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X8 @ c_Empty) @ (^[X9 : $i] : (c_Empty))))))))) = X5) => (! [X4 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X5 : (($i > $i) > $i) > $i,X6 : $i > $i,X7 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i, X9 : $i, X10 : $i, X11 : $i > $i, X12 : $i] : (((c_setsum @ (((X2 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X14 : $i, X15 : ($i > $i) > $i, X16 : $i > $i] : (c_Empty))) @ c_Empty))))) @ (^[X13 : $i, X14 : ($i > $i) > $i, X15 : $i > $i] : ((((X2 @ (^[X16 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X14 @ (^[X17 : $i] : (c_Empty)))))) @ (^[X16 : $i, X17 : ($i > $i) > $i, X18 : $i > $i] : ((((X2 @ (^[X19 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X19 : $i, X20 : ($i > $i) > $i, X21 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (X14 @ (^[X16 : $i] : (c_Empty))))))) @ (c_Inj0 @ (X11 @ c_Empty)))) @ X9)))) @ (^[X8 : $i > ($i > $i) > $i] : (((X8 @ c_Empty) @ (^[X9 : $i] : (c_Empty)))))) = (((X4 @ (^[X8 : ($i > $i) > $i > $i, X9 : $i, X10 : $i] : (((X1 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i, X12 : $i, X13 : $i, X14 : $i > $i, X15 : $i] : (((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (^[X16 : (($i > $i > $i) > $i > $i) > $i, X17 : $i > $i > $i] : ((((X2 @ (^[X18 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X18 : $i, X19 : ($i > $i) > $i, X20 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (c_Inj1 @ c_Empty)))))) @ (^[X11 : $i > ($i > $i) > $i] : (((X3 @ (^[X12 : (($i > $i > $i) > $i > $i) > $i, X13 : $i > $i > $i] : (((c_setsum @ (X12 @ (^[X14 : $i > $i > $i, X15 : $i] : (c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : (((X0 @ (^[X10 : $i] : ((X8 @ (^[X11 : $i > $i > $i, X12 : $i] : (((X1 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i, X14 : $i, X15 : $i, X16 : $i > $i, X17 : $i] : (c_Empty))) @ (^[X13 : $i > ($i > $i) > $i] : (c_Empty))))))))) @ (^[X10 : $i, X11 : $i, X12 : $i > $i] : (((X0 @ (^[X13 : $i] : (((X0 @ (^[X14 : $i] : (c_Empty))) @ (^[X14 : $i, X15 : $i, X16 : $i > $i] : (c_Empty)))))) @ (^[X13 : $i, X14 : $i, X15 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X6 @ ((((X7 @ c_Empty) @ (^[X8 : $i > $i] : (c_Empty))) @ (^[X8 : $i] : (c_Empty))) @ c_Empty))))) @ (X5 @ (^[X8 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))))) => (! [X4,X5 : $i > $i,X6 : $i > (($i > $i) > $i) > $i,X7 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (^[X8 : $i] : (((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X9 : $i, X10 : ($i > $i) > $i, X11 : $i > $i] : (c_Empty))) @ c_Empty))))))) @ (^[X8 : $i, X9 : $i, X10 : $i > $i] : ((((X2 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : (((c_setsum @ (((X2 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X14 : $i, X15 : ($i > $i) > $i, X16 : $i > $i] : (c_Empty))) @ (X12 @ (^[X14 : $i] : (c_Empty))))) @ (c_Inj1 @ ((X1 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i, X15 : $i, X16 : $i, X17 : $i > $i, X18 : $i] : (c_Empty))) @ (^[X14 : $i > ($i > $i) > $i] : (c_Empty)))))))) @ c_Empty)))) = (((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ ((((X8 @ c_Empty) @ (^[X9 : $i > $i, X10 : $i] : ((c_Inj1 @ (c_Inj0 @ c_Empty))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ c_Empty))) @ (c_Inj0 @ (c_Inj0 @ c_Empty)))) @ ((X1 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i, X10 : $i, X11 : $i, X12 : $i > $i, X13 : $i] : ((c_Inj0 @ c_Empty)))) @ (^[X9 : $i > ($i > $i) > $i] : ((c_Inj1 @ ((X3 @ (^[X10 : (($i > $i > $i) > $i > $i) > $i, X11 : $i > $i > $i] : (c_Empty))) @ c_Empty))))))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (((c_setsum @ (((X2 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : ((c_Inj1 @ (((X2 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X14 : $i, X15 : ($i > $i) > $i, X16 : $i > $i] : (c_Empty))) @ c_Empty))))) @ (((X7 @ (^[X11 : $i, X12 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : (c_Empty))) @ c_Empty)) @ (^[X11 : $i] : (X8))))) @ (X9 @ (^[X11 : $i] : ((c_Inj1 @ ((X0 @ (^[X12 : $i] : (c_Empty))) @ (^[X12 : $i, X13 : $i, X14 : $i > $i] : (c_Empty))))))))))) @ (((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X5 @ (X5 @ ((c_setsum @ c_Empty) @ c_Empty)))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty)))) => (! [X4,X5,X6,X7] : (((X0 @ (^[X8 : $i] : (X8))) @ (^[X8 : $i, X9 : $i, X10 : $i > $i] : (((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))) = (c_Inj0 @ c_Empty)) => c_False))))))))), 46.36/7.03 inference(negated_conjecture,[],[f59])). 46.36/7.03 thf(f59,conjecture,( 46.36/7.03 ! [X0 : ($i > $i) > ($i > $i > ($i > $i) > $i) > $i,X1 : (($i > (($i > $i) > $i > $i) > $i > $i) > $i > $i > ($i > $i) > $i > $i) > (($i > ($i > $i) > $i) > $i) > $i,X2 : (($i > (($i > $i) > $i > $i) > $i > $i > $i) > $i) > ($i > (($i > $i) > $i) > ($i > $i) > $i) > $i > $i,X3 : (((($i > $i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i > $i] : (! [X4,X5,X6,X7 : ($i > $i) > $i] : (((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : ((((X2 @ (^[X10 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X10 : $i, X11 : ($i > $i) > $i, X12 : $i > $i] : (((c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty))) @ ((X9 @ (c_Inj1 @ c_Empty)) @ (c_Inj0 @ c_Empty)))))) @ ((X0 @ (^[X10 : $i] : (X10))) @ (^[X10 : $i, X11 : $i, X12 : $i > $i] : (((c_setsum @ ((X1 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i, X14 : $i, X15 : $i, X16 : $i > $i, X17 : $i] : (c_Empty))) @ (^[X13 : $i > ($i > $i) > $i] : (c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ ((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ X5)) @ (((X2 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X7 @ (^[X10 : $i] : (c_Empty)))))) @ (^[X9 : $i, X10 : ($i > $i) > $i, X11 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))) @ ((X0 @ (^[X9 : $i] : (c_Empty))) @ (^[X9 : $i, X10 : $i, X11 : $i > $i] : (c_Empty)))))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (X8))) @ X4)) = ((c_setsum @ X5) @ X4)) => (! [X4 : ($i > ($i > $i) > $i) > $i,X5,X6,X7] : (((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : (c_Empty))) @ c_Empty) = ((c_setsum @ c_Empty) @ (X4 @ (^[X8 : $i, X9 : $i > $i] : (c_Empty))))) => (! [X4 : $i > ($i > $i) > ($i > $i) > $i > $i,X5 : $i > $i > ($i > $i) > $i,X6,X7 : $i > $i] : ((((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((X0 @ (^[X9 : $i] : (c_Empty))) @ (^[X9 : $i, X10 : $i, X11 : $i > $i] : ((c_Inj0 @ (c_Inj0 @ ((c_setsum @ c_Empty) @ c_Empty))))))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (((c_setsum @ ((X0 @ (^[X11 : $i] : (((c_setsum @ X11) @ ((X1 @ (^[X12 : $i > (($i > $i) > $i > $i) > $i > $i, X13 : $i, X14 : $i, X15 : $i > $i, X16 : $i] : (c_Empty))) @ (^[X12 : $i > ($i > $i) > $i] : (c_Empty))))))) @ (^[X11 : $i, X12 : $i, X13 : $i > $i] : (((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ (c_Inj1 @ c_Empty)))))) @ ((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X3 @ (^[X11 : (($i > $i > $i) > $i > $i) > $i, X12 : $i > $i > $i] : (c_Empty))) @ c_Empty))))))) @ ((((X4 @ ((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : (c_Empty))) @ ((c_setsum @ (c_Inj0 @ c_Empty)) @ c_Empty))) @ (^[X8 : $i] : (((c_setsum @ c_Empty) @ (c_Inj0 @ c_Empty))))) @ (^[X8 : $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ c_Empty) @ (((X5 @ c_Empty) @ c_Empty) @ (^[X9 : $i] : (c_Empty)))))))) @ ((X1 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i, X9 : $i, X10 : $i, X11 : $i > $i, X12 : $i] : (c_Empty))) @ (^[X8 : $i > ($i > $i) > $i] : (c_Empty))))) = ((X0 @ (^[X8 : $i] : (((X0 @ (^[X9 : $i] : (c_Empty))) @ (^[X9 : $i, X10 : $i, X11 : $i > $i] : (((c_setsum @ ((X1 @ (^[X12 : $i > (($i > $i) > $i > $i) > $i > $i, X13 : $i, X14 : $i, X15 : $i > $i, X16 : $i] : (c_Empty))) @ (^[X12 : $i > ($i > $i) > $i] : (c_Empty)))) @ (c_Inj1 @ X10)))))))) @ (^[X8 : $i, X9 : $i, X10 : $i > $i] : (((c_setsum @ (X7 @ ((c_setsum @ X9) @ ((X1 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i, X12 : $i, X13 : $i, X14 : $i > $i, X15 : $i] : (c_Empty))) @ (^[X11 : $i > ($i > $i) > $i] : (c_Empty)))))) @ c_Empty))))) => (! [X4 : ($i > ($i > $i) > $i > $i) > (($i > $i) > $i) > $i,X5,X6,X7] : ((((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ ((c_setsum @ (((X2 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X9 : $i, X10 : ($i > $i) > $i, X11 : $i > $i] : (c_Empty))) @ c_Empty)) @ ((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ c_Empty))) @ c_Empty))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (((c_setsum @ ((c_setsum @ c_Empty) @ X7)) @ ((X1 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i, X12 : $i, X13 : $i, X14 : $i > $i, X15 : $i] : (((X3 @ (^[X16 : (($i > $i > $i) > $i > $i) > $i, X17 : $i > $i > $i] : ((X14 @ c_Empty)))) @ X12)))) @ (^[X11 : $i > ($i > $i) > $i] : ((c_Inj1 @ ((X1 @ (^[X12 : $i > (($i > $i) > $i > $i) > $i > $i, X13 : $i, X14 : $i, X15 : $i > $i, X16 : $i] : (c_Empty))) @ (^[X12 : $i > ($i > $i) > $i] : (c_Empty))))))))))) @ c_Empty) = ((X4 @ (^[X8 : $i, X9 : $i > $i, X10 : $i] : (((X3 @ (^[X11 : (($i > $i > $i) > $i > $i) > $i, X12 : $i > $i > $i] : (((X12 @ ((X1 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i, X14 : $i, X15 : $i, X16 : $i > $i, X17 : $i] : ((((X2 @ (^[X18 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X18 : $i, X19 : ($i > $i) > $i, X20 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (^[X13 : $i > ($i > $i) > $i] : (c_Empty)))) @ (c_Inj0 @ c_Empty))))) @ (X9 @ c_Empty))))) @ (^[X8 : $i > $i] : (c_Empty)))) => (! [X4 : ($i > $i > $i > $i) > $i,X5,X6,X7 : ($i > $i > $i > $i) > $i] : (((X1 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i, X9 : $i, X10 : $i, X11 : $i > $i, X12 : $i] : (X9))) @ (^[X8 : $i > ($i > $i) > $i] : (((c_setsum @ c_Empty) @ ((c_setsum @ (X7 @ (^[X9 : $i, X10 : $i, X11 : $i] : (((X8 @ c_Empty) @ (^[X12 : $i] : (c_Empty))))))) @ ((c_setsum @ ((c_setsum @ c_Empty) @ c_Empty)) @ ((X8 @ c_Empty) @ (^[X9 : $i] : (c_Empty))))))))) = X5) => (! [X4 : ((($i > $i) > $i > $i) > $i > $i > $i) > $i > $i > $i,X5 : (($i > $i) > $i) > $i,X6 : $i > $i,X7 : $i > (($i > $i) > $i) > ($i > $i) > $i > $i] : (((X1 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i, X9 : $i, X10 : $i, X11 : $i > $i, X12 : $i] : (((c_setsum @ (((X2 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ (c_Inj1 @ c_Empty)) @ (((X2 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X14 : $i, X15 : ($i > $i) > $i, X16 : $i > $i] : (c_Empty))) @ c_Empty))))) @ (^[X13 : $i, X14 : ($i > $i) > $i, X15 : $i > $i] : ((((X2 @ (^[X16 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X14 @ (^[X17 : $i] : (c_Empty)))))) @ (^[X16 : $i, X17 : ($i > $i) > $i, X18 : $i > $i] : ((((X2 @ (^[X19 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X19 : $i, X20 : ($i > $i) > $i, X21 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (X14 @ (^[X16 : $i] : (c_Empty))))))) @ (c_Inj0 @ (X11 @ c_Empty)))) @ X9)))) @ (^[X8 : $i > ($i > $i) > $i] : (((X8 @ c_Empty) @ (^[X9 : $i] : (c_Empty)))))) = (((X4 @ (^[X8 : ($i > $i) > $i > $i, X9 : $i, X10 : $i] : (((X1 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i, X12 : $i, X13 : $i, X14 : $i > $i, X15 : $i] : (((c_setsum @ (c_Inj1 @ c_Empty)) @ ((X3 @ (^[X16 : (($i > $i > $i) > $i > $i) > $i, X17 : $i > $i > $i] : ((((X2 @ (^[X18 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X18 : $i, X19 : ($i > $i) > $i, X20 : $i > $i] : (c_Empty))) @ c_Empty)))) @ (c_Inj1 @ c_Empty)))))) @ (^[X11 : $i > ($i > $i) > $i] : (((X3 @ (^[X12 : (($i > $i > $i) > $i > $i) > $i, X13 : $i > $i > $i] : (((c_setsum @ (X12 @ (^[X14 : $i > $i > $i, X15 : $i] : (c_Empty)))) @ ((c_setsum @ c_Empty) @ c_Empty))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (c_Inj1 @ c_Empty))))))))) @ ((X3 @ (^[X8 : (($i > $i > $i) > $i > $i) > $i, X9 : $i > $i > $i] : (((X0 @ (^[X10 : $i] : ((X8 @ (^[X11 : $i > $i > $i, X12 : $i] : (((X1 @ (^[X13 : $i > (($i > $i) > $i > $i) > $i > $i, X14 : $i, X15 : $i, X16 : $i > $i, X17 : $i] : (c_Empty))) @ (^[X13 : $i > ($i > $i) > $i] : (c_Empty))))))))) @ (^[X10 : $i, X11 : $i, X12 : $i > $i] : (((X0 @ (^[X13 : $i] : (((X0 @ (^[X14 : $i] : (c_Empty))) @ (^[X14 : $i, X15 : $i, X16 : $i > $i] : (c_Empty)))))) @ (^[X13 : $i, X14 : $i, X15 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))))))))) @ ((c_setsum @ (c_Inj1 @ c_Empty)) @ (X6 @ ((((X7 @ c_Empty) @ (^[X8 : $i > $i] : (c_Empty))) @ (^[X8 : $i] : (c_Empty))) @ c_Empty))))) @ (X5 @ (^[X8 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))))) => (! [X4,X5 : $i > $i,X6 : $i > (($i > $i) > $i) > $i,X7 : ($i > ($i > $i) > $i) > $i > ($i > $i) > $i] : (((X0 @ (^[X8 : $i] : (((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ ((c_setsum @ c_Empty) @ (c_Inj0 @ (((X2 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X9 : $i, X10 : ($i > $i) > $i, X11 : $i > $i] : (c_Empty))) @ c_Empty))))))) @ (^[X8 : $i, X9 : $i, X10 : $i > $i] : ((((X2 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : (((c_setsum @ (((X2 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X14 : $i, X15 : ($i > $i) > $i, X16 : $i > $i] : (c_Empty))) @ (X12 @ (^[X14 : $i] : (c_Empty))))) @ (c_Inj1 @ ((X1 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i, X15 : $i, X16 : $i, X17 : $i > $i, X18 : $i] : (c_Empty))) @ (^[X14 : $i > ($i > $i) > $i] : (c_Empty)))))))) @ c_Empty)))) = (((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (((c_setsum @ ((((X8 @ c_Empty) @ (^[X9 : $i > $i, X10 : $i] : ((c_Inj1 @ (c_Inj0 @ c_Empty))))) @ ((c_setsum @ c_Empty) @ ((X3 @ (^[X9 : (($i > $i > $i) > $i > $i) > $i, X10 : $i > $i > $i] : (c_Empty))) @ c_Empty))) @ (c_Inj0 @ (c_Inj0 @ c_Empty)))) @ ((X1 @ (^[X9 : $i > (($i > $i) > $i > $i) > $i > $i, X10 : $i, X11 : $i, X12 : $i > $i, X13 : $i] : ((c_Inj0 @ c_Empty)))) @ (^[X9 : $i > ($i > $i) > $i] : ((c_Inj1 @ ((X3 @ (^[X10 : (($i > $i > $i) > $i > $i) > $i, X11 : $i > $i > $i] : (c_Empty))) @ c_Empty))))))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (((c_setsum @ (((X2 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : ((c_Inj1 @ (((X2 @ (^[X14 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X14 : $i, X15 : ($i > $i) > $i, X16 : $i > $i] : (c_Empty))) @ c_Empty))))) @ (((X7 @ (^[X11 : $i, X12 : $i > $i] : (((c_setsum @ c_Empty) @ c_Empty)))) @ (((X2 @ (^[X11 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : (c_Empty))) @ (^[X11 : $i, X12 : ($i > $i) > $i, X13 : $i > $i] : (c_Empty))) @ c_Empty)) @ (^[X11 : $i] : (X8))))) @ (X9 @ (^[X11 : $i] : ((c_Inj1 @ ((X0 @ (^[X12 : $i] : (c_Empty))) @ (^[X12 : $i, X13 : $i, X14 : $i > $i] : (c_Empty))))))))))) @ (((X2 @ (^[X8 : $i > (($i > $i) > $i > $i) > $i > $i > $i] : ((X5 @ (X5 @ ((c_setsum @ c_Empty) @ c_Empty)))))) @ (^[X8 : $i, X9 : ($i > $i) > $i, X10 : $i > $i] : (c_Empty))) @ ((c_setsum @ c_Empty) @ c_Empty)))) => (! [X4,X5,X6,X7] : (((X0 @ (^[X8 : $i] : (X8))) @ (^[X8 : $i, X9 : $i, X10 : $i > $i] : (((c_setsum @ (c_Inj0 @ c_Empty)) @ (c_Inj0 @ c_Empty))))) = (c_Inj0 @ c_Empty)) => c_False))))))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)). 46.36/7.03 thf(f4124,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i > $i > $i) > $i] : ((((sK1 @ (kCOMB @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ kCOMB)))) @ ((bCOMB @ ((bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((sCOMB @ ((bCOMB @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((bCOMB @ X1) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((bCOMB @ kCOMB) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))))) @ ((bCOMB @ ((bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ ((c_Repl @ (c_Union @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ c_Empty) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((cCOMB @ ((cCOMB @ iCOMB) @ c_Empty)) @ (kCOMB @ c_Empty)))))) != X0) | (X0 = X2)) )), 46.36/7.03 inference(superposition,[],[f3850,f451])). 46.36/7.03 thf(f3850,plain,( 46.36/7.03 ( ! [X2 : $i,X3 : $i] : (((sK10 @ (vEQ($i) @ X2)) != X2) | (X2 = X3)) )), 46.36/7.03 inference(equality_proxy_clausification,[],[f3849])). 46.36/7.03 thf(f3849,plain,( 46.36/7.03 ( ! [X2 : $i,X3 : $i] : ((X2 = X3) | ($false = ((vEQ($i) @ X2) @ (sK10 @ (vEQ($i) @ X2))))) )), 46.36/7.03 inference(equality_proxy_clausification,[],[f3518])). 46.36/7.03 thf(f3518,plain,( 46.36/7.03 ( ! [X2 : $i,X3 : $i] : (($true = ((vEQ($i) @ X2) @ X3)) | ($false = ((vEQ($i) @ X2) @ (sK10 @ (vEQ($i) @ X2))))) )), 46.36/7.03 inference(primitive_instantiation,[],[f673])). 46.36/7.03 thf(f673,plain,( 46.36/7.03 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = (X0 @ (sK10 @ X0)))) )), 46.36/7.03 inference(trivial_inequality_removal,[],[f597])). 46.36/7.03 thf(f597,plain,( 46.36/7.03 ( ! [X0 : $i > $o,X1 : $i] : (($true != $true) | ((X0 @ X1) = $true) | ($false = (X0 @ (sK10 @ X0)))) )), 46.36/7.03 inference(superposition,[],[f366,f480])). 46.36/7.03 thf(f480,plain,( 46.36/7.03 ( ! [X2 : $o] : (($true = X2) | ($false = X2)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f465])). 46.36/7.03 thf(f465,plain,( 46.36/7.03 ( ! [X2 : $o,X0 : ($i > ($i > $i) > $i) > $i,X1 : $i] : (($false = ((vIMP @ ((vIMP @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))) @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ X2)) | ($true = X2)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f464])). 46.36/7.03 thf(f464,plain,( 46.36/7.03 ( ! [X2 : $o,X0 : ($i > ($i > $i) > $i) > $i,X1 : $i] : (($false = ((vIMP @ ((vIMP @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))))) @ ((vIMP @ ((vIMP @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))) @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ X2))) | ($true = X2)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f463])). 46.36/7.03 thf(f463,plain,( 46.36/7.03 ( ! [X2 : $o,X0 : ($i > ($i > $i) > $i) > $i,X1 : $i] : (($true = ((vIMP @ ((vIMP @ ((vIMP @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))))) @ ((vIMP @ ((vIMP @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))) @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty)))) @ X2))) @ X2))) )), 46.36/7.03 inference(combinator_demodulation,[],[f462])). 46.36/7.03 thf(f462,plain,( 46.36/7.03 ( ! [X2 : $o,X0 : ($i > ($i > $i) > $i) > $i,X1 : $i] : (($true = (((sCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (vIMP @ ((vIMP @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))))) @ (vIMP @ ((vIMP @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))) @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))))))) @ iCOMB) @ X2))) )), 46.36/7.03 inference(pi_clausification,[],[f461])). 46.36/7.03 thf(f461,plain,( 46.36/7.03 ( ! [X0 : ($i > ($i > $i) > $i) > $i,X1 : $i] : (($true = (vPI($o) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (vIMP @ ((vIMP @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))))) @ (vIMP @ ((vIMP @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X0 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl)))))))) @ ((c_In @ X1) @ ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))))))) @ iCOMB)))) )), 46.36/7.03 inference(superposition,[],[f407,f448])). 46.36/7.03 thf(f448,plain,( 46.36/7.03 ( ! [X17 : ($i > ($i > $i) > $i) > $i] : ((((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = (c_Union @ ((c_UPair @ ((c_Repl @ c_Empty) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))) @ ((c_Repl @ (X17 @ (kCOMB @ (kCOMB @ c_Empty)))) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ ((bCOMB @ c_Union) @ (c_UPair @ (c_Sing @ c_Empty))))) @ c_Repl))))))) )), 46.36/7.03 inference(combinator_demodulation,[],[f396])). 46.36/7.03 thf(f396,plain,( 46.36/7.03 ( ! [X17 : ($i > ($i > $i) > $i) > $i] : ((((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty) = ((((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ ((bCOMB @ (bCOMB @ c_Union)) @ c_UPair)) @ ((cCOMB @ c_Repl) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl))))))) @ ((cCOMB @ c_Repl) @ (c_In_rec_poly_i @ ((bCOMB @ (bCOMB @ (((bCOMB @ (bCOMB @ c_Union)) @ c_UPair) @ (c_Sing @ c_Empty)))) @ c_Repl)))) @ c_Empty) @ (X17 @ (kCOMB @ (kCOMB @ c_Empty)))))) )), 46.36/7.03 inference(definition_unfolding,[],[f314,f384])). 46.36/7.03 thf(f314,plain,( 46.36/7.03 ( ! [X17 : ($i > ($i > $i) > $i) > $i] : ((((c_setsum @ c_Empty) @ (X17 @ (kCOMB @ (kCOMB @ c_Empty)))) = ((sK3 @ (kCOMB @ (kCOMB @ c_Empty))) @ c_Empty))) )), 46.36/7.03 inference(cnf_transformation,[],[f301])). 46.36/7.03 thf(f407,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : (($true = (vPI($o) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (vIMP @ ((vIMP @ ((c_In @ X1) @ (c_Union @ X0))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ X0)))))) @ (vIMP @ ((vIMP @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X1) @ (c_Union @ X0))))))) @ iCOMB)))) )), 46.36/7.03 inference(combinator_demodulation,[],[f400])). 46.36/7.03 thf(f400,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : (($true = ((((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB)))) @ vIMP))) @ (cCOMB @ vIMP)) @ ((c_In @ X1) @ (c_Union @ X0))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB))) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ X0)))))) )), 46.36/7.03 inference(definition_unfolding,[],[f324,f385,f369])). 46.36/7.03 thf(f369,plain,( 46.36/7.03 (c_and = ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB)))), 46.36/7.03 inference(cnf_transformation,[],[f265])). 46.36/7.03 thf(f265,plain,( 46.36/7.03 (c_and = ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB)))), 46.36/7.03 inference(fool_elimination,[],[f264])). 46.36/7.03 thf(f264,plain,( 46.36/7.03 (c_and = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))))), 46.36/7.03 inference(rectify,[],[f29])). 46.36/7.03 thf(f29,axiom,( 46.36/7.03 (c_and = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14)). 46.36/7.03 thf(f385,plain,( 46.36/7.03 (c_iff = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB)))) @ vIMP))) @ (cCOMB @ vIMP)))), 46.36/7.03 inference(definition_unfolding,[],[f374,f369])). 46.36/7.03 thf(f374,plain,( 46.36/7.03 (c_iff = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ c_and)) @ vIMP))) @ (cCOMB @ vIMP)))), 46.36/7.03 inference(cnf_transformation,[],[f226])). 46.36/7.03 thf(f226,plain,( 46.36/7.03 (c_iff = ((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ c_and)) @ vIMP))) @ (cCOMB @ vIMP)))), 46.36/7.03 inference(fool_elimination,[],[f225])). 46.36/7.03 thf(f225,plain,( 46.36/7.03 (c_iff = (^[X0 : $o, X1 : $o] : (((c_and @ X0 => X1) @ X1 => X0))))), 46.36/7.03 inference(rectify,[],[f21])). 46.36/7.03 thf(f21,axiom,( 46.36/7.03 (c_iff = (^[X0 : $o, X1 : $o] : (((c_and @ X0 => X1) @ X1 => X0))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16)). 46.36/7.03 thf(f324,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : (($true = ((c_iff @ ((c_In @ X1) @ (c_Union @ X0))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ c_and) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ X0)))))) )), 46.36/7.03 inference(cnf_transformation,[],[f283])). 46.36/7.03 thf(f283,plain,( 46.36/7.03 ! [X0,X1] : ($true = ((c_iff @ ((c_In @ X1) @ (c_Union @ X0))) @ (vSIGMA($i) @ ((sCOMB @ ((bCOMB @ c_and) @ (c_In @ X1))) @ ((cCOMB @ c_In) @ X0)))))), 46.36/7.03 inference(fool_elimination,[],[f282])). 46.36/7.03 thf(f282,plain,( 46.36/7.03 ! [X0,X1] : ((c_iff @ ((c_In @ X1) @ (c_Union @ X0))) @ ? [X2] : ((c_and @ ((c_In @ X1) @ X2)) @ ((c_In @ X2) @ X0)))), 46.36/7.03 inference(rectify,[],[f99])). 46.36/7.03 thf(f99,axiom,( 46.36/7.03 ! [X0,X1] : ((c_iff @ ((c_In @ X1) @ (c_Union @ X0))) @ ? [X2] : ((c_and @ ((c_In @ X1) @ X2)) @ ((c_In @ X2) @ X0)))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)). 46.36/7.03 thf(f366,plain,( 46.36/7.03 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($true != (X0 @ (sK10 @ X0)))) )), 46.36/7.03 inference(cnf_transformation,[],[f312])). 46.36/7.03 thf(f312,plain,( 46.36/7.03 ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) | (($true != (X0 @ (sK10 @ X0))) & ! [X3] : (($true = (X0 @ X3)) | ($true != ((c_In @ X3) @ (sK10 @ X0))))))), 46.36/7.03 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f310,f311])). 46.36/7.03 thf(f311,plain,( 46.36/7.03 ! [X0 : $i > $o] : (? [X2] : (((X0 @ X2) != $true) & ! [X3] : (($true = (X0 @ X3)) | (((c_In @ X3) @ X2) != $true))) => (($true != (X0 @ (sK10 @ X0))) & ! [X3] : (($true = (X0 @ X3)) | ($true != ((c_In @ X3) @ (sK10 @ X0))))))), 46.36/7.03 introduced(choice_axiom,[])). 46.36/7.03 thf(f310,plain,( 46.36/7.03 ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) | ? [X2] : (((X0 @ X2) != $true) & ! [X3] : (($true = (X0 @ X3)) | (((c_In @ X3) @ X2) != $true))))), 46.36/7.03 inference(rectify,[],[f298])). 46.36/7.03 thf(f298,plain,( 46.36/7.03 ! [X0 : $i > $o] : (! [X3] : ($true = (X0 @ X3)) | ? [X1] : (((X0 @ X1) != $true) & ! [X2] : (((X0 @ X2) = $true) | (((c_In @ X2) @ X1) != $true))))), 46.36/7.03 inference(ennf_transformation,[],[f269])). 46.36/7.03 thf(f269,plain,( 46.36/7.03 ! [X0 : $i > $o] : (! [X1] : (! [X2] : ((((c_In @ X2) @ X1) = $true) => ((X0 @ X2) = $true)) => ((X0 @ X1) = $true)) => ! [X3] : ($true = (X0 @ X3)))), 46.36/7.03 inference(fool_elimination,[],[f268])). 46.36/7.03 thf(f268,plain,( 46.36/7.03 ! [X0 : $i > $o] : (! [X1] : (! [X2] : (((c_In @ X2) @ X1) => (X0 @ X2)) => (X0 @ X1)) => ! [X3] : (X0 @ X3))), 46.36/7.03 inference(rectify,[],[f105])). 46.36/7.03 thf(f105,axiom,( 46.36/7.03 ! [X0 : $i > $o] : (! [X1] : (! [X2] : (((c_In @ X2) @ X1) => (X0 @ X2)) => (X0 @ X1)) => ! [X1] : (X0 @ X1))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10)). 46.36/7.03 thf(f1429,plain,( 46.36/7.03 ( ! [X2 : $i] : (($false = ((c_In @ X2) @ c_Empty))) ) | ~spl11_7), 46.36/7.03 inference(avatar_component_clause,[],[f1428])). 46.36/7.03 thf(f1428,plain,( 46.36/7.03 spl11_7 <=> ! [X2] : ($false = ((c_In @ X2) @ c_Empty))), 46.36/7.03 introduced(avatar_definition,[new_symbols(naming,[spl11_7])])). 46.36/7.03 thf(f5557,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i] : ((((c_In @ X0) @ X2) = $true)) ) | ~spl11_7), 46.36/7.03 inference(trivial_inequality_removal,[],[f5556])). 46.36/7.03 thf(f5556,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i] : (($true = $false) | (((c_In @ X0) @ X2) = $true)) ) | ~spl11_7), 46.36/7.03 inference(forward_demodulation,[],[f5063,f4171])). 46.36/7.03 thf(f5063,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((c_In @ ((sK81 @ X1) @ X0)) @ X0)) | (((c_In @ X0) @ X2) = $true)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f5061])). 46.36/7.03 thf(f5061,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = ((vIMP @ ((c_In @ ((sK81 @ X1) @ X0)) @ X0)) @ ((c_In @ ((sK81 @ X1) @ X0)) @ X1))) | (((c_In @ X0) @ X2) = $true)) )), 46.36/7.03 inference(combinator_demodulation,[],[f5060])). 46.36/7.03 thf(f5060,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X0))) @ ((cCOMB @ c_In) @ X1)) @ ((sK81 @ X1) @ X0))) | (((c_In @ X0) @ X2) = $true)) )), 46.36/7.03 inference(sigma_clausification,[],[f5059])). 46.36/7.03 thf(f5059,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X0))) @ ((cCOMB @ c_In) @ X1)))) | (((c_In @ X0) @ X2) = $true)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f5058])). 46.36/7.03 thf(f5058,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X0))) @ ((cCOMB @ c_In) @ X1)))) @ ((c_In @ X0) @ X2)))) )), 46.36/7.03 inference(condensation,[],[f5057])). 46.36/7.03 thf(f5057,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X3 : $o,X1 : $i] : (($true = ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X2) @ X1))) | ($true = X3)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f5049])). 46.36/7.03 thf(f5049,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X3 : $o,X1 : $i] : (($false = ((vIMP @ ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X2) @ X1))) @ X3)) | ($true = X3)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f5048])). 46.36/7.03 thf(f5048,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X3 : $o,X1 : $i] : (($false = ((vIMP @ ((vIMP @ ((c_In @ X2) @ X1)) @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0))))) @ ((vIMP @ ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X2) @ X1))) @ X3))) | ($true = X3)) )), 46.36/7.03 inference(binary_proxy_clausification,[],[f5047])). 46.36/7.03 thf(f5047,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X3 : $o,X1 : $i] : (($true = ((vIMP @ ((vIMP @ ((vIMP @ ((c_In @ X2) @ X1)) @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0))))) @ ((vIMP @ ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X2) @ X1))) @ X3))) @ X3))) )), 46.36/7.03 inference(combinator_demodulation,[],[f5046])). 46.36/7.03 thf(f5046,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X3 : $o,X1 : $i] : (($true = (((sCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (vIMP @ ((vIMP @ ((c_In @ X2) @ X1)) @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))))) @ (vIMP @ ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X2) @ X1)))))) @ iCOMB) @ X3))) )), 46.36/7.03 inference(pi_clausification,[],[f4857])). 46.36/7.03 thf(f4857,plain,( 46.36/7.03 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (vPI($o) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (vIMP @ ((vIMP @ ((c_In @ X2) @ X1)) @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))))) @ (vIMP @ ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X2))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X2) @ X1)))))) @ iCOMB)))) )), 46.36/7.03 inference(superposition,[],[f408,f4125])). 46.36/7.03 thf(f408,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : (($true = (vPI($o) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((bCOMB @ (vIMP @ ((vIMP @ ((c_In @ X1) @ (c_Power @ X0))) @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X1))) @ ((cCOMB @ c_In) @ X0)))))) @ (vIMP @ ((vIMP @ (vPI($i) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ c_In) @ X1))) @ ((cCOMB @ c_In) @ X0)))) @ ((c_In @ X1) @ (c_Power @ X0))))))) @ iCOMB)))) )), 46.36/7.03 inference(combinator_demodulation,[],[f401])). 46.36/7.03 thf(f401,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : (($true = ((((sCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ ((bCOMB @ (bCOMB @ vPI($o))) @ ((cCOMB @ ((bCOMB @ cCOMB) @ ((bCOMB @ (bCOMB @ sCOMB)) @ ((bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ bCOMB) @ vIMP))) @ vIMP))))) @ iCOMB)))) @ vIMP))) @ (cCOMB @ vIMP)) @ ((c_In @ X1) @ (c_Power @ X0))) @ ((((bCOMB @ (bCOMB @ vPI($i))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ c_In))))) @ (cCOMB @ c_In))) @ X1) @ X0)))) )), 46.36/7.03 inference(definition_unfolding,[],[f325,f385,f378])). 46.36/7.03 thf(f378,plain,( 46.36/7.03 (c_Subq = ((bCOMB @ (bCOMB @ vPI($i))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ c_In))))) @ (cCOMB @ c_In))))), 46.36/7.03 inference(cnf_transformation,[],[f239])). 46.36/7.03 thf(f239,plain,( 46.36/7.03 (c_Subq = ((bCOMB @ (bCOMB @ vPI($i))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ c_In))))) @ (cCOMB @ c_In))))), 46.36/7.03 inference(fool_elimination,[],[f238])). 46.36/7.03 thf(f238,plain,( 46.36/7.03 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2] : (((c_In @ X2) @ X0) => ((c_In @ X2) @ X1)))))), 46.36/7.03 inference(rectify,[],[f16])). 46.36/7.03 thf(f16,axiom,( 46.36/7.03 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2] : (((c_In @ X2) @ X0) => ((c_In @ X2) @ X1)))))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17)). 46.36/7.03 thf(f325,plain,( 46.36/7.03 ( ! [X0 : $i,X1 : $i] : ((((c_iff @ ((c_In @ X1) @ (c_Power @ X0))) @ ((c_Subq @ X1) @ X0)) = $true)) )), 46.36/7.03 inference(cnf_transformation,[],[f281])). 46.36/7.03 thf(f281,plain,( 46.36/7.03 ! [X0,X1] : (((c_iff @ ((c_In @ X1) @ (c_Power @ X0))) @ ((c_Subq @ X1) @ X0)) = $true)), 46.36/7.03 inference(fool_elimination,[],[f280])). 46.36/7.03 thf(f280,plain,( 46.36/7.03 ! [X0,X1] : ((c_iff @ ((c_In @ X1) @ (c_Power @ X0))) @ ((c_Subq @ X1) @ X0))), 46.36/7.03 inference(rectify,[],[f96])). 46.36/7.03 thf(f96,axiom,( 46.36/7.03 ! [X0,X1] : ((c_iff @ ((c_In @ X1) @ (c_Power @ X0))) @ ((c_Subq @ X1) @ X0))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)). 46.36/7.03 thf(f1430,plain,( 46.36/7.03 spl11_7 | spl11_1), 46.36/7.03 inference(avatar_split_clause,[],[f1203,f1400,f1428])). 46.36/7.03 thf(f1203,plain,( 46.36/7.03 ( ! [X2 : $i,X1 : $o] : (($true = X1) | ($false = ((c_In @ X2) @ c_Empty))) )), 46.36/7.03 inference(combinator_demodulation,[],[f1202])). 46.36/7.03 thf(f1202,plain,( 46.36/7.03 ( ! [X2 : $i,X1 : $o] : (($true = X1) | ($false = (((cCOMB @ c_In) @ c_Empty) @ X2))) )), 46.36/7.03 inference(pi_clausification,[],[f1201])). 46.36/7.03 thf(f1201,plain,( 46.36/7.03 ( ! [X1 : $o] : (($true = X1) | ($false = (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty)))) )), 46.36/7.03 inference(combinator_demodulation,[],[f1200])). 46.36/7.03 thf(f1200,plain,( 46.36/7.03 ( ! [X1 : $o] : (($true = (iCOMB @ X1)) | ($false = (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty)))) )), 46.36/7.03 inference(pi_clausification,[],[f1199])). 46.36/7.03 thf(f1199,plain,( 46.36/7.03 ($true = (vPI($o) @ iCOMB)) | ($false = (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty)))), 46.36/7.03 inference(boolean_simplification,[],[f508])). 46.36/7.03 thf(f508,plain,( 46.36/7.03 ($true = ((vIMP @ $true) @ (vPI($o) @ iCOMB))) | ($false = (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty)))), 46.36/7.03 inference(superposition,[],[f405,f480])). 46.36/7.03 thf(f405,plain,( 46.36/7.03 ($true = ((vIMP @ (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty))) @ (vPI($o) @ iCOMB)))), 46.36/7.03 inference(combinator_demodulation,[],[f398])). 46.36/7.03 thf(f398,plain,( 46.36/7.03 ($true = (((cCOMB @ vIMP) @ (vPI($o) @ iCOMB)) @ (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty))))), 46.36/7.03 inference(definition_unfolding,[],[f322,f386])). 46.36/7.03 thf(f386,plain,( 46.36/7.03 (c_not = ((cCOMB @ vIMP) @ (vPI($o) @ iCOMB)))), 46.36/7.03 inference(definition_unfolding,[],[f367,f368])). 46.36/7.03 thf(f368,plain,( 46.36/7.03 (c_False = (vPI($o) @ iCOMB))), 46.36/7.03 inference(cnf_transformation,[],[f204])). 46.36/7.03 thf(f204,plain,( 46.36/7.03 (c_False = (vPI($o) @ iCOMB))), 46.36/7.03 inference(fool_elimination,[],[f203])). 46.36/7.03 thf(f203,plain,( 46.36/7.03 (c_False = ! [X0 : $o] : X0)), 46.36/7.03 inference(rectify,[],[f37])). 46.36/7.03 thf(f37,axiom,( 46.36/7.03 (c_False = ! [X0 : $o] : X0)), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11)). 46.36/7.03 thf(f367,plain,( 46.36/7.03 (c_not = ((cCOMB @ vIMP) @ c_False))), 46.36/7.03 inference(cnf_transformation,[],[f255])). 46.36/7.03 thf(f255,plain,( 46.36/7.03 (c_not = ((cCOMB @ vIMP) @ c_False))), 46.36/7.03 inference(fool_elimination,[],[f254])). 46.36/7.03 thf(f254,plain,( 46.36/7.03 (c_not = (^[X0 : $o] : (X0 => c_False)))), 46.36/7.03 inference(rectify,[],[f9])). 46.36/7.03 thf(f9,axiom,( 46.36/7.03 (c_not = (^[X0 : $o] : (X0 => c_False)))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13)). 46.36/7.03 thf(f322,plain,( 46.36/7.03 ($true = (c_not @ (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty))))), 46.36/7.03 inference(cnf_transformation,[],[f287])). 46.36/7.03 thf(f287,plain,( 46.36/7.03 ($true = (c_not @ (vSIGMA($i) @ ((cCOMB @ c_In) @ c_Empty))))), 46.36/7.03 inference(fool_elimination,[],[f286])). 46.36/7.03 thf(f286,plain,( 46.36/7.03 (c_not @ ? [X0] : ((c_In @ X0) @ c_Empty))), 46.36/7.03 inference(rectify,[],[f5])). 46.36/7.03 thf(f5,axiom,( 46.36/7.03 (c_not @ ? [X0] : ((c_In @ X0) @ c_Empty))), 46.36/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 46.36/7.03 % SZS output end Proof for theBenchmark 46.36/7.03 % (6386)------------------------------ 46.36/7.03 % (6386)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 46.36/7.03 % (6386)Termination reason: Refutation 46.36/7.03 46.36/7.03 % (6386)Memory used [KB]: 41449 46.36/7.03 % (6386)Time elapsed: 6.514 s 46.36/7.03 % (6386)------------------------------ 46.36/7.03 % (6386)------------------------------ 46.36/7.03 % (6359)Success in time 6.673 s 46.36/7.06 EOF