0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.13/0.33 % Computer : n014.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1200 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Jul 13 11:47:04 EDT 2021 0.13/0.33 % CPUTime : 0.13/0.34 This is a THF_ problem 0.13/0.34 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.34 Running in auto input_syntax mode. Trying TPTP 0.19/0.45 % (10917)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 0.19/0.46 % (10918)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 0.19/0.46 % (10914)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 0.19/0.47 % (10923)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 0.19/0.47 % (10940)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 0.19/0.47 % (10915)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 0.19/0.47 % (10936)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 0.19/0.47 % (10924)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 0.19/0.48 % (10919)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 0.19/0.48 % (10913)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 0.19/0.48 % (10916)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 0.19/0.48 % (10928)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 0.19/0.49 % (10939)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 0.19/0.49 % (10937)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 0.19/0.49 % (10942)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 0.19/0.49 % (10932)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 0.19/0.50 % (10941)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 0.19/0.50 % (10933)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 0.19/0.50 % (10931)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 0.19/0.51 % (10922)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 0.19/0.51 % (10935)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 0.19/0.52 % (10929)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 0.19/0.52 % (10934)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark 0.19/0.52 % (10938)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 0.19/0.52 % (10926)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 0.19/0.53 % (10925)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 0.19/0.53 % (10930)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 0.19/0.53 % (10927)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 0.19/0.54 % (10920)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 0.19/0.55 % (10921)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 0.19/0.68 % (10917)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.77 % (10919)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.79 % (10922)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.80 % (10920)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.80 % (10926)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.80 % (10929)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.83 % (10936)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.84 % (10938)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 2.62/0.85 % (10930)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 3.33/0.87 % (10915)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 3.63/0.91 % (10937)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 4.01/0.94 % (10928)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.10/0.95 % (10935)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.10/0.96 % (10922)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.10/0.99 % (10932)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.10/1.00 % (10929)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.56/1.05 % (10921)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 6.41/1.31 % (10925)Time limit reached! 6.41/1.31 % (10925)------------------------------ 6.41/1.31 % (10925)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.41/1.31 % (10925)Termination reason: Time limit 6.41/1.31 6.41/1.31 % (10925)Memory used [KB]: 11129 6.41/1.31 % (10925)Time elapsed: 0.868 s 6.41/1.31 % (10925)------------------------------ 6.41/1.31 % (10925)------------------------------ 6.41/1.35 % (10922)Time limit reached! 6.41/1.35 % (10922)------------------------------ 6.41/1.35 % (10922)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.41/1.35 % (10922)Termination reason: Time limit 6.41/1.35 6.41/1.35 % (10922)Memory used [KB]: 17526 6.41/1.35 % (10922)Time elapsed: 0.913 s 6.41/1.35 % (10922)------------------------------ 6.41/1.35 % (10922)------------------------------ 6.41/1.39 % (10985)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 6.90/1.43 % (10927)Time limit reached! 6.90/1.43 % (10927)------------------------------ 6.90/1.43 % (10927)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.90/1.43 % (10927)Termination reason: Time limit 6.90/1.43 6.90/1.43 % (10927)Memory used [KB]: 12920 6.90/1.43 % (10927)Time elapsed: 0.993 s 6.90/1.43 % (10927)------------------------------ 6.90/1.43 % (10927)------------------------------ 6.90/1.44 % (10987)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 6.90/1.46 % (10916)Time limit reached! 6.90/1.46 % (10916)------------------------------ 6.90/1.46 % (10916)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 6.90/1.46 % (10916)Termination reason: Time limit 6.90/1.46 6.90/1.46 % (10916)Memory used [KB]: 17526 6.90/1.46 % (10916)Time elapsed: 1.021 s 6.90/1.46 % (10916)------------------------------ 6.90/1.46 % (10916)------------------------------ 8.15/1.51 % (10988)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 8.76/1.59 % (10992)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 9.32/1.63 % (10915)Time limit reached! 9.32/1.63 % (10915)------------------------------ 9.32/1.63 % (10915)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 9.32/1.63 % (10915)Termination reason: Time limit 9.32/1.63 9.32/1.63 % (10915)Memory used [KB]: 15735 9.32/1.63 % (10915)Time elapsed: 1.194 s 9.32/1.63 % (10915)------------------------------ 9.32/1.63 % (10915)------------------------------ 9.32/1.63 % (10919)Time limit reached! 9.32/1.63 % (10919)------------------------------ 9.32/1.63 % (10919)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 9.32/1.63 % (10919)Termination reason: Time limit 9.32/1.63 9.32/1.63 % (10919)Memory used [KB]: 17014 9.32/1.63 % (10919)Time elapsed: 1.194 s 9.32/1.63 % (10919)------------------------------ 9.32/1.63 % (10919)------------------------------ 9.63/1.71 % (10994)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:thsq=on_27 on theBenchmark 9.63/1.73 % (10995)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:updr=off:uhcvi=on:thsq=on_125 on theBenchmark 10.19/1.81 % (10913)Time limit reached! 10.19/1.81 % (10913)------------------------------ 10.19/1.81 % (10913)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 10.19/1.81 % (10913)Termination reason: Time limit 10.19/1.81 10.19/1.81 % (10913)Memory used [KB]: 7931 10.19/1.81 % (10913)Time elapsed: 1.355 s 10.19/1.81 % (10913)------------------------------ 10.19/1.81 % (10913)------------------------------ 10.79/1.86 % (10988)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 10.79/1.92 % (10997)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off:thsq=on_77 on theBenchmark 11.30/1.97 % (10929)First to succeed. 11.30/1.97 % (10931)Time limit reached! 11.30/1.97 % (10931)------------------------------ 11.30/1.97 % (10931)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 11.30/1.97 % (10931)Termination reason: Time limit 11.30/1.97 11.30/1.97 % (10931)Memory used [KB]: 13048 11.30/1.97 % (10931)Time elapsed: 1.515 s 11.30/1.97 % (10931)------------------------------ 11.30/1.97 % (10931)------------------------------ 11.30/1.98 % (10929)Refutation found. Thanks to Tanya! 11.30/1.98 % SZS status Theorem for theBenchmark 11.30/1.98 % SZS output start Proof for theBenchmark 11.30/1.98 thf(type_def_6, type, int: $tType). 11.30/1.98 thf(type_def_7, type, nat: $tType). 11.30/1.98 thf(type_def_8, type, real: $tType). 11.30/1.98 thf(type_def_9, type, product_prod_int_int: $tType). 11.30/1.98 thf(type_def_10, type, >: ($tType * $tType) > $tType). 11.30/1.98 thf(func_def_11, type, div_mod_int: int > int > int). 11.30/1.98 thf(func_def_12, type, div_mod_nat: nat > nat > nat). 11.30/1.98 thf(func_def_13, type, minus_minus_int: int > int > int). 11.30/1.98 thf(func_def_14, type, minus_minus_nat: nat > nat > nat). 11.30/1.98 thf(func_def_15, type, minus_minus_real: real > real > real). 11.30/1.98 thf(func_def_16, type, one_one_int: int). 11.30/1.98 thf(func_def_17, type, one_one_nat: nat). 11.30/1.98 thf(func_def_18, type, one_one_real: real). 11.30/1.98 thf(func_def_19, type, plus_plus_int: int > int > int). 11.30/1.98 thf(func_def_20, type, plus_plus_nat: nat > nat > nat). 11.30/1.98 thf(func_def_21, type, plus_plus_real: real > real > real). 11.30/1.98 thf(func_def_22, type, times_times_int: int > int > int). 11.30/1.98 thf(func_def_23, type, times_times_nat: nat > nat > nat). 11.30/1.98 thf(func_def_24, type, times_times_real: real > real > real). 11.30/1.98 thf(func_def_25, type, zero_zero_int: int). 11.30/1.98 thf(func_def_26, type, zero_zero_nat: nat). 11.30/1.98 thf(func_def_27, type, zero_zero_real: real). 11.30/1.98 thf(func_def_28, type, multInv: int > int > int). 11.30/1.98 thf(func_def_29, type, d22set: int > int > $o). 11.30/1.98 thf(func_def_30, type, zfact: int > int). 11.30/1.98 thf(func_def_31, type, zcong: int > int > int > $o). 11.30/1.98 thf(func_def_32, type, zprime: int > $o). 11.30/1.98 thf(func_def_33, type, bit0: int > int). 11.30/1.98 thf(func_def_34, type, bit1: int > int). 11.30/1.98 thf(func_def_35, type, min: int). 11.30/1.98 thf(func_def_36, type, pls: int). 11.30/1.98 thf(func_def_37, type, number_number_of_int: int > int). 11.30/1.98 thf(func_def_38, type, number_number_of_nat: int > nat). 11.30/1.98 thf(func_def_39, type, number267125858f_real: int > real). 11.30/1.98 thf(func_def_40, type, ord_less_int: int > int > $o). 11.30/1.98 thf(func_def_41, type, ord_less_nat: nat > nat > $o). 11.30/1.98 thf(func_def_42, type, ord_less_real: real > real > $o). 11.30/1.98 thf(func_def_43, type, ord_less_eq_int: int > int > $o). 11.30/1.98 thf(func_def_44, type, ord_less_eq_nat: nat > nat > $o). 11.30/1.98 thf(func_def_45, type, ord_less_eq_real: real > real > $o). 11.30/1.98 thf(func_def_46, type, power_power_int: int > nat > int). 11.30/1.98 thf(func_def_47, type, power_power_nat: nat > nat > nat). 11.30/1.98 thf(func_def_48, type, power_power_real: real > nat > real). 11.30/1.98 thf(func_def_49, type, product_Pair_int_int: int > int > product_prod_int_int). 11.30/1.98 thf(func_def_50, type, legendre: int > int > int). 11.30/1.98 thf(func_def_51, type, quadRes: int > int > $o). 11.30/1.98 thf(func_def_52, type, sr: int > int > $o). 11.30/1.98 thf(func_def_53, type, standardRes: int > int > int). 11.30/1.98 thf(func_def_54, type, dvd_dvd_int: int > int > $o). 11.30/1.98 thf(func_def_55, type, dvd_dvd_nat: nat > nat > $o). 11.30/1.98 thf(func_def_56, type, dvd_dvd_real: real > real > $o). 11.30/1.98 thf(func_def_57, type, collect_int: (int > $o) > int > $o). 11.30/1.98 thf(func_def_58, type, twoSqu919416604sum2sq: int > $o). 11.30/1.98 thf(func_def_59, type, twoSqu2057625106sum2sq: product_prod_int_int > int). 11.30/1.98 thf(func_def_60, type, inv: int > int > int). 11.30/1.98 thf(func_def_61, type, wset: int > int > int > $o). 11.30/1.98 thf(func_def_62, type, member_int: int > (int > $o) > $o). 11.30/1.98 thf(func_def_63, type, m: int). 11.30/1.98 thf(func_def_64, type, s1: int). 11.30/1.98 thf(func_def_65, type, s: int). 11.30/1.98 thf(func_def_66, type, t: int). 11.30/1.98 thf(func_def_68, type, vAND: $o > $o > $o). 11.30/1.98 thf(func_def_69, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 11.30/1.98 thf(func_def_72, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 11.30/1.98 thf(func_def_73, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 11.30/1.98 thf(func_def_74, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 11.30/1.98 thf(func_def_75, type, sP0: int > $o). 11.30/1.98 thf(func_def_76, type, sP1: (nat > $o) > nat > $o). 11.30/1.98 thf(func_def_77, type, sP2: nat > (nat > $o) > $o). 11.30/1.98 thf(func_def_78, type, sP3: nat > real > $o). 11.30/1.98 thf(func_def_79, type, sP4: int > int > $o). 11.30/1.98 thf(func_def_80, type, sP5: int > int > $o). 11.30/1.98 thf(func_def_81, type, sP6: int > int > $o). 11.30/1.98 thf(func_def_82, type, sP7: int > int > $o). 11.30/1.98 thf(func_def_83, type, sP8: int > int > $o). 11.30/1.98 thf(func_def_84, type, sP9: int > int > $o). 11.30/1.98 thf(func_def_85, type, sP10: real > real > $o). 11.30/1.98 thf(func_def_86, type, sP11: real > real > $o). 11.30/1.98 thf(func_def_87, type, sP12: int > int > $o). 11.30/1.98 thf(func_def_88, type, sP13: int > int > $o). 11.30/1.98 thf(func_def_89, type, sP14: nat > nat > $o). 11.30/1.98 thf(func_def_90, type, sP15: real > real > $o). 11.30/1.98 thf(func_def_91, type, sP16: real > real > $o). 11.30/1.98 thf(func_def_92, type, sP17: int > int > $o). 11.30/1.98 thf(func_def_93, type, sP18: int > int > $o). 11.30/1.98 thf(func_def_94, type, sP19: $o > int > $o). 11.30/1.98 thf(func_def_95, type, sP20: $o > int > $o). 11.30/1.98 thf(func_def_96, type, sP21: int > $o > $o > $o). 11.30/1.98 thf(func_def_97, type, sP22: int > $o > $o). 11.30/1.98 thf(func_def_98, type, sP23: int > $o > $o). 11.30/1.98 thf(func_def_99, type, sP24: int > $o > $o > $o). 11.30/1.98 thf(func_def_100, type, sP25: (nat > nat > $o) > nat > nat > $o). 11.30/1.98 thf(func_def_101, type, sP26: (nat > nat > $o) > nat > nat > $o). 11.30/1.98 thf(func_def_102, type, sP27: int > (int > $o) > $o). 11.30/1.98 thf(func_def_103, type, sP28: int > (int > $o) > $o). 11.30/1.98 thf(func_def_104, type, sP29: int > (int > $o) > $o). 11.30/1.98 thf(func_def_105, type, sP30: int > (int > $o) > $o). 11.30/1.98 thf(func_def_106, type, sP31: nat > nat > (nat > $o) > $o). 11.30/1.98 thf(func_def_107, type, sP32: nat > (nat > $o) > nat > $o). 11.30/1.98 thf(func_def_108, type, sP33: nat > nat > (nat > $o) > $o). 11.30/1.98 thf(func_def_109, type, sP34: nat > nat > (nat > $o) > $o). 11.30/1.98 thf(func_def_110, type, sP35: int > int > int > $o). 11.30/1.98 thf(func_def_111, type, sP36: int > int > int > $o). 11.30/1.98 thf(func_def_112, type, sP37: nat > nat > (nat > $o) > $o). 11.30/1.98 thf(func_def_113, type, sP38: (nat > $o) > nat > nat > $o). 11.30/1.98 thf(func_def_114, type, sP39: int > int > (int > $o) > $o). 11.30/1.98 thf(func_def_115, type, sP40: int > int > (int > $o) > $o). 11.30/1.98 thf(func_def_116, type, sP41: int > int > (int > $o) > $o). 11.30/1.98 thf(func_def_117, type, sP42: real > real > real > $o). 11.30/1.98 thf(func_def_118, type, sP43: real > real > real > $o). 11.30/1.98 thf(func_def_119, type, sP44: real > real > real > $o). 11.30/1.98 thf(func_def_120, type, sP45: real > real > real > $o). 11.30/1.98 thf(func_def_121, type, sP46: int > int > int > $o). 11.30/1.98 thf(func_def_122, type, sP47: int > int > int > $o). 11.30/1.98 thf(func_def_123, type, sP48: int > int > $o). 11.30/1.98 thf(func_def_124, type, sK49: int). 11.30/1.98 thf(func_def_125, type, sK50: int). 11.30/1.98 thf(func_def_126, type, sK51: int). 11.30/1.98 thf(func_def_127, type, sK52: int). 11.30/1.98 thf(func_def_128, type, sK53: int). 11.30/1.98 thf(func_def_129, type, sK54: int). 11.30/1.98 thf(func_def_130, type, sK55: int). 11.30/1.98 thf(func_def_131, type, sK56: int > int). 11.30/1.98 thf(func_def_132, type, sK57: int > int). 11.30/1.98 thf(func_def_133, type, sK58: int > int). 11.30/1.98 thf(func_def_134, type, sK59: int > int). 11.30/1.98 thf(func_def_135, type, sK60: int > int > int). 11.30/1.98 thf(func_def_136, type, sK61: (nat > $o) > nat > nat). 11.30/1.98 thf(func_def_137, type, sK62: nat > (nat > $o) > nat). 11.30/1.98 thf(func_def_138, type, sK63: (int > $o) > int). 11.30/1.98 thf(func_def_139, type, sK64: nat > real > real). 11.30/1.98 thf(func_def_140, type, sK65: nat > real > real). 11.30/1.98 thf(func_def_141, type, sK66: int > int > int). 11.30/1.98 thf(func_def_142, type, sK67: nat > nat > nat). 11.30/1.98 thf(func_def_143, type, sK68: nat > nat > nat). 11.30/1.98 thf(func_def_144, type, sK69: int > int > int). 11.30/1.98 thf(func_def_145, type, sK70: nat > nat > nat). 11.30/1.98 thf(func_def_146, type, sK71: int > int > int). 11.30/1.98 thf(func_def_147, type, sK72: (nat > nat) > nat). 11.30/1.98 thf(func_def_148, type, sK73: (nat > nat) > nat). 11.30/1.98 thf(func_def_149, type, sK74: int > (int > $o) > int). 11.30/1.98 thf(func_def_150, type, sK75: int > (int > $o) > int). 11.30/1.98 thf(func_def_151, type, sK76: int > (int > $o) > int). 11.30/1.98 thf(func_def_152, type, sK77: int > (int > $o) > int). 11.30/1.98 thf(func_def_153, type, sK78: int > (int > $o) > int). 11.30/1.98 thf(func_def_154, type, sK79: int > (int > $o) > int). 11.30/1.98 thf(func_def_155, type, sK80: nat > nat > (nat > $o) > nat). 11.30/1.98 thf(func_def_156, type, sK81: nat > nat > (nat > $o) > nat). 11.30/1.98 thf(func_def_157, type, sK82: nat > nat > (nat > $o) > nat). 11.30/1.98 thf(func_def_158, type, sK83: (nat > $o) > nat > nat > nat). 11.30/1.98 thf(func_def_159, type, sK84: int > int > int > int). 11.30/1.98 thf(func_def_160, type, sK85: int > int > (int > $o) > int). 11.30/1.98 thf(func_def_161, type, sK86: int > int > (int > $o) > int). 11.30/1.98 thf(func_def_162, type, sK87: int > int > (int > $o) > int). 11.30/1.98 thf(func_def_163, type, sK88: int > int > (int > $o) > int). 11.30/1.98 thf(func_def_164, type, sK89: int). 11.30/1.98 thf(func_def_166, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 11.30/1.98 thf(func_def_167, type, vOR: $o > $o > $o). 11.30/1.98 thf(func_def_168, type, vIMP: $o > $o > $o). 11.30/1.98 thf(func_def_169, type, vNOT: $o > $o). 11.30/1.98 thf(func_def_170, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 11.30/1.98 thf(func_def_171, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 11.30/1.98 thf(func_def_175, type, inv_number_number_of_int_91: int > int). 11.30/1.98 thf(func_def_176, type, inv_bit0_92: int > int). 11.30/1.98 thf(func_def_177, type, inv_number267125858f_real_93: real > int). 11.30/1.98 thf(func_def_178, type, inv_bit1_94: int > int). 11.30/1.98 thf(func_def_179, type, sK95: int > (int > $o) > int). 11.30/1.98 thf(func_def_180, type, inv_collect_int_96: (int > $o) > int > $o). 11.30/1.98 thf(func_def_181, type, sK97: (int > $o) > (int > $o) > int). 11.30/1.98 thf(func_def_182, type, inv_plus_plus_nat_98: nat > nat > nat). 11.30/1.98 thf(func_def_183, type, inv_plus_plus_nat_99: nat > nat > nat). 11.30/1.98 thf(f10285,plain,( 11.30/1.98 $false), 11.30/1.98 inference(subsumption_resolution,[],[f10284,f9029])). 11.30/1.98 thf(f9029,plain,( 11.30/1.98 (t != (zfact @ zero_zero_int))), 11.30/1.98 inference(superposition,[],[f8772,f4627])). 11.30/1.98 thf(f4627,plain,( 11.30/1.98 ( ! [X0 : int] : (((number_number_of_int @ X0) = X0)) )), 11.30/1.98 inference(cnf_transformation,[],[f2728])). 11.30/1.98 thf(f2728,plain,( 11.30/1.98 ! [X0 : int] : ((number_number_of_int @ X0) = X0)), 11.30/1.98 inference(rectify,[],[f433])). 11.30/1.98 thf(f433,axiom,( 11.30/1.98 ! [X37 : int] : ((number_number_of_int @ X37) = X37)), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_number__of__is__id)). 11.30/1.98 thf(f8772,plain,( 11.30/1.98 (t != (number_number_of_int @ (zfact @ zero_zero_int)))), 11.30/1.98 inference(backward_demodulation,[],[f7394,f8622])). 11.30/1.98 thf(f8622,plain,( 11.30/1.98 ((bit1 @ zero_zero_int) = (zfact @ zero_zero_int))), 11.30/1.98 inference(trivial_inequality_removal,[],[f8617])). 11.30/1.98 thf(f8617,plain,( 11.30/1.98 ($true != $true) | ((bit1 @ zero_zero_int) = (zfact @ zero_zero_int))), 11.30/1.98 inference(superposition,[],[f7484,f4901])). 11.30/1.98 thf(f4901,plain,( 11.30/1.98 ( ! [X0 : int] : (($true = ((ord_less_eq_int @ X0) @ X0))) )), 11.30/1.98 inference(cnf_transformation,[],[f1421])). 11.30/1.98 thf(f1421,plain,( 11.30/1.98 ! [X0 : int] : ($true = ((ord_less_eq_int @ X0) @ X0))), 11.30/1.98 inference(fool_elimination,[],[f1420])). 11.30/1.98 thf(f1420,plain,( 11.30/1.98 ! [X0 : int] : ((ord_less_eq_int @ X0) @ X0)), 11.30/1.98 inference(rectify,[],[f494])). 11.30/1.98 thf(f494,axiom,( 11.30/1.98 ! [X20 : int] : ((ord_less_eq_int @ X20) @ X20)), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zle__refl)). 11.30/1.98 thf(f7484,plain,( 11.30/1.98 ( ! [X0 : int] : (($true != ((ord_less_eq_int @ X0) @ zero_zero_int)) | ((zfact @ X0) = (bit1 @ zero_zero_int))) )), 11.30/1.98 inference(forward_demodulation,[],[f6364,f4627])). 11.30/1.98 thf(f6364,plain,( 11.30/1.98 ( ! [X0 : int] : (((zfact @ X0) = (number_number_of_int @ (bit1 @ zero_zero_int))) | ($true != ((ord_less_eq_int @ X0) @ zero_zero_int))) )), 11.30/1.98 inference(definition_unfolding,[],[f4759,f6187])). 11.30/1.98 thf(f6187,plain,( 11.30/1.98 (one_one_int = (number_number_of_int @ (bit1 @ zero_zero_int)))), 11.30/1.98 inference(definition_unfolding,[],[f4587,f4567])). 11.30/1.98 thf(f4567,plain,( 11.30/1.98 (zero_zero_int = pls)), 11.30/1.98 inference(cnf_transformation,[],[f156])). 11.30/1.98 thf(f156,axiom,( 11.30/1.98 (zero_zero_int = pls)), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_358_Pls__def)). 11.30/1.98 thf(f4587,plain,( 11.30/1.98 (one_one_int = (number_number_of_int @ (bit1 @ pls)))), 11.30/1.98 inference(cnf_transformation,[],[f473])). 11.30/1.98 thf(f473,axiom,( 11.30/1.98 (one_one_int = (number_number_of_int @ (bit1 @ pls)))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_semiring__norm_I110_J)). 11.30/1.98 thf(f4759,plain,( 11.30/1.98 ( ! [X0 : int] : ((one_one_int = (zfact @ X0)) | ($true != ((ord_less_eq_int @ X0) @ zero_zero_int))) )), 11.30/1.98 inference(cnf_transformation,[],[f3213])). 11.30/1.98 thf(f3213,plain,( 11.30/1.98 ! [X0 : int] : ((((zfact @ X0) = ((times_times_int @ X0) @ (zfact @ ((minus_minus_int @ X0) @ one_one_int)))) | ($true = ((ord_less_eq_int @ X0) @ zero_zero_int))) & ((one_one_int = (zfact @ X0)) | ($true != ((ord_less_eq_int @ X0) @ zero_zero_int))))), 11.30/1.98 inference(ennf_transformation,[],[f2850])). 11.30/1.98 thf(f2850,plain,( 11.30/1.98 ! [X0 : int] : ((($true != ((ord_less_eq_int @ X0) @ zero_zero_int)) => ((zfact @ X0) = ((times_times_int @ X0) @ (zfact @ ((minus_minus_int @ X0) @ one_one_int))))) & (($true = ((ord_less_eq_int @ X0) @ zero_zero_int)) => (one_one_int = (zfact @ X0))))), 11.30/1.98 inference(flattening,[],[f1225])). 11.30/1.98 thf(f1225,plain,( 11.30/1.98 ! [X0 : int] : ((~($true = ((ord_less_eq_int @ X0) @ zero_zero_int)) => ((zfact @ X0) = ((times_times_int @ X0) @ (zfact @ ((minus_minus_int @ X0) @ one_one_int))))) & (($true = ((ord_less_eq_int @ X0) @ zero_zero_int)) => (one_one_int = (zfact @ X0))))), 11.30/1.98 inference(fool_elimination,[],[f1224])). 11.30/1.98 thf(f1224,plain,( 11.30/1.98 ! [X0 : int] : ((~((ord_less_eq_int @ X0) @ zero_zero_int) => ((zfact @ X0) = ((times_times_int @ X0) @ (zfact @ ((minus_minus_int @ X0) @ one_one_int))))) & (((ord_less_eq_int @ X0) @ zero_zero_int) => (one_one_int = (zfact @ X0))))), 11.30/1.98 inference(rectify,[],[f6])). 11.30/1.98 thf(f6,axiom,( 11.30/1.98 ! [X8 : int] : ((~((ord_less_eq_int @ X8) @ zero_zero_int) => ((zfact @ X8) = ((times_times_int @ X8) @ (zfact @ ((minus_minus_int @ X8) @ one_one_int))))) & (((ord_less_eq_int @ X8) @ zero_zero_int) => (one_one_int = (zfact @ X8))))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1071_zfact_Osimps)). 11.30/1.98 thf(f7394,plain,( 11.30/1.98 (t != (number_number_of_int @ (bit1 @ zero_zero_int)))), 11.30/1.98 inference(subsumption_resolution,[],[f6236,f6191])). 11.30/1.98 thf(f6191,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : ((((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ zero_zero_int))))) @ m)) @ (number_number_of_int @ (bit1 @ zero_zero_int))) != ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ zero_zero_int))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ zero_zero_int))))))) )), 11.30/1.98 inference(definition_unfolding,[],[f4556,f4567,f6187,f4567,f4567])). 11.30/1.98 thf(f4556,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : ((((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) != ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) )), 11.30/1.98 inference(cnf_transformation,[],[f3200])). 11.30/1.98 thf(f3200,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) != ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 inference(ennf_transformation,[],[f2714])). 11.30/1.98 thf(f2714,plain,( 11.30/1.98 ~? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 inference(rectify,[],[f537])). 11.30/1.98 thf(f537,negated_conjecture,( 11.30/1.98 ~? [X148 : int,X149 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X148) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X149) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 inference(negated_conjecture,[],[f536])). 11.30/1.98 thf(f536,conjecture,( 11.30/1.98 ? [X148 : int,X149 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X148) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X149) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 11.30/1.98 thf(f6236,plain,( 11.30/1.98 (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ zero_zero_int))))) @ m)) @ (number_number_of_int @ (bit1 @ zero_zero_int))) = ((plus_plus_int @ ((power_power_int @ sK49) @ (number_number_of_nat @ (bit0 @ (bit1 @ zero_zero_int))))) @ ((power_power_int @ sK50) @ (number_number_of_nat @ (bit0 @ (bit1 @ zero_zero_int)))))) | (t != (number_number_of_int @ (bit1 @ zero_zero_int)))), 11.30/1.98 inference(definition_unfolding,[],[f4610,f4567,f6187,f4567,f4567,f6187])). 11.30/1.98 thf(f4610,plain,( 11.30/1.98 (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ sK49) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ sK50) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (one_one_int != t)), 11.30/1.98 inference(cnf_transformation,[],[f4153])). 11.30/1.98 thf(f4153,plain,( 11.30/1.98 (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ sK49) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ sK50) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (one_one_int != t)), 11.30/1.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f3201,f4152])). 11.30/1.98 thf(f4152,plain,( 11.30/1.98 ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) => (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ sK49) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ sK50) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 introduced(choice_axiom,[])). 11.30/1.98 thf(f3201,plain,( 11.30/1.98 ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (one_one_int != t)), 11.30/1.98 inference(ennf_transformation,[],[f2715])). 11.30/1.98 thf(f2715,plain,( 11.30/1.98 (one_one_int = t) => ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 inference(rectify,[],[f686])). 11.30/1.98 thf(f686,axiom,( 11.30/1.98 (one_one_int = t) => ? [X148 : int,X149 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X148) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X149) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 11.30/1.98 thf(f10284,plain,( 11.30/1.98 (t = (zfact @ zero_zero_int))), 11.30/1.98 inference(subsumption_resolution,[],[f10279,f10041])). 11.30/1.98 thf(f10041,plain,( 11.30/1.98 ($true != ((ord_less_int @ t) @ (zfact @ zero_zero_int)))), 11.30/1.98 inference(trivial_inequality_removal,[],[f10035])). 11.30/1.98 thf(f10035,plain,( 11.30/1.98 ($true != $true) | ($true != ((ord_less_int @ t) @ (zfact @ zero_zero_int)))), 11.30/1.98 inference(superposition,[],[f7775,f8938])). 11.30/1.98 thf(f8938,plain,( 11.30/1.98 ($true = ((ord_less_eq_int @ (zfact @ zero_zero_int)) @ t))), 11.30/1.98 inference(backward_demodulation,[],[f7960,f8622])). 11.30/1.98 thf(f7960,plain,( 11.30/1.98 ($true = ((ord_less_eq_int @ (bit1 @ zero_zero_int)) @ t))), 11.30/1.98 inference(forward_demodulation,[],[f6952,f4627])). 11.30/1.98 thf(f6952,plain,( 11.30/1.98 ($true = ((ord_less_eq_int @ (number_number_of_int @ (bit1 @ zero_zero_int))) @ t))), 11.30/1.98 inference(definition_unfolding,[],[f6163,f6187])). 11.30/1.98 thf(f6163,plain,( 11.30/1.98 (((ord_less_eq_int @ one_one_int) @ t) = $true)), 11.30/1.98 inference(cnf_transformation,[],[f2671])). 11.30/1.98 thf(f2671,plain,( 11.30/1.98 (((ord_less_eq_int @ one_one_int) @ t) = $true)), 11.30/1.98 inference(fool_elimination,[],[f2670])). 11.30/1.98 thf(f2670,plain,( 11.30/1.98 ((ord_less_eq_int @ one_one_int) @ t)), 11.30/1.98 inference(rectify,[],[f1052])). 11.30/1.98 thf(f1052,axiom,( 11.30/1.98 ((ord_less_eq_int @ one_one_int) @ t)), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos)). 11.30/1.98 thf(f7775,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : (($true != ((ord_less_eq_int @ X0) @ X1)) | ($true != ((ord_less_int @ X1) @ X0))) )), 11.30/1.98 inference(forward_demodulation,[],[f7774,f4627])). 11.30/1.98 thf(f7774,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : (($true != ((ord_less_eq_int @ X0) @ (number_number_of_int @ X1))) | ($true != ((ord_less_int @ X1) @ X0))) )), 11.30/1.98 inference(forward_demodulation,[],[f7773,f4627])). 11.30/1.98 thf(f7773,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : (($true != ((ord_less_int @ X1) @ X0)) | ($true != ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1)))) )), 11.30/1.98 inference(forward_demodulation,[],[f7772,f4627])). 11.30/1.98 thf(f7772,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : (($true != ((ord_less_int @ X1) @ (number_number_of_int @ X0))) | ($true != ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1)))) )), 11.30/1.98 inference(forward_demodulation,[],[f5421,f4627])). 11.30/1.98 thf(f5421,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : (($true != ((ord_less_int @ (number_number_of_int @ X1)) @ (number_number_of_int @ X0))) | ($true != ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1)))) )), 11.30/1.98 inference(cnf_transformation,[],[f4345])). 11.30/1.98 thf(f4345,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : ((($true != ((ord_less_int @ (number_number_of_int @ X1)) @ (number_number_of_int @ X0))) | ($true != ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1)))) & (($true = ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1))) | ($true = ((ord_less_int @ (number_number_of_int @ X1)) @ (number_number_of_int @ X0)))))), 11.30/1.98 inference(nnf_transformation,[],[f3028])). 11.30/1.98 thf(f3028,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : (($true != ((ord_less_int @ (number_number_of_int @ X1)) @ (number_number_of_int @ X0))) <=> ($true = ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1))))), 11.30/1.98 inference(flattening,[],[f1895])). 11.30/1.98 thf(f1895,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : (~($true = ((ord_less_int @ (number_number_of_int @ X1)) @ (number_number_of_int @ X0))) <=> ($true = ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1))))), 11.30/1.98 inference(fool_elimination,[],[f1894])). 11.30/1.98 thf(f1894,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : (~((ord_less_int @ (number_number_of_int @ X1)) @ (number_number_of_int @ X0)) <=> ((ord_less_eq_int @ (number_number_of_int @ X0)) @ (number_number_of_int @ X1)))), 11.30/1.98 inference(rectify,[],[f1088])). 11.30/1.98 thf(f1088,axiom,( 11.30/1.98 ! [X440 : int,X441 : int] : (~((ord_less_int @ (number_number_of_int @ X441)) @ (number_number_of_int @ X440)) <=> ((ord_less_eq_int @ (number_number_of_int @ X440)) @ (number_number_of_int @ X441)))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_le__number__of__eq__not__less)). 11.30/1.98 thf(f10279,plain,( 11.30/1.98 ($true = ((ord_less_int @ t) @ (zfact @ zero_zero_int))) | (t = (zfact @ zero_zero_int))), 11.30/1.98 inference(trivial_inequality_removal,[],[f10249])). 11.30/1.98 thf(f10249,plain,( 11.30/1.98 ($true = $false) | ($true = ((ord_less_int @ t) @ (zfact @ zero_zero_int))) | (t = (zfact @ zero_zero_int))), 11.30/1.98 inference(superposition,[],[f4992,f8954])). 11.30/1.98 thf(f8954,plain,( 11.30/1.98 ($false = ((ord_less_int @ (zfact @ zero_zero_int)) @ t))), 11.30/1.98 inference(backward_demodulation,[],[f8179,f8622])). 11.30/1.98 thf(f8179,plain,( 11.30/1.98 ($false = ((ord_less_int @ (bit1 @ zero_zero_int)) @ t))), 11.30/1.98 inference(trivial_inequality_removal,[],[f8171])). 11.30/1.98 thf(f8171,plain,( 11.30/1.98 ($true != $true) | ($false = ((ord_less_int @ (bit1 @ zero_zero_int)) @ t))), 11.30/1.98 inference(superposition,[],[f7412,f8134])). 11.30/1.98 thf(f8134,plain,( 11.30/1.98 ( ! [X2 : int > $o,X3 : int] : (($true = (X2 @ X3)) | ($false = (X2 @ X3))) )), 11.30/1.98 inference(trivial_inequality_removal,[],[f8129])). 11.30/1.98 thf(f8129,plain,( 11.30/1.98 ( ! [X2 : int > $o,X3 : int] : (($true = $false) | ($false = (X2 @ X3)) | ($true = (X2 @ X3))) )), 11.30/1.98 inference(superposition,[],[f8028,f8027])). 11.30/1.98 thf(f8027,plain,( 11.30/1.98 ( ! [X0 : int > $o,X1 : int] : (($false = ((collect_int @ X0) @ X1)) | ($true = (X0 @ X1))) )), 11.30/1.98 inference(binary_proxy_clausification,[],[f8025])). 11.30/1.98 thf(f8025,plain,( 11.30/1.98 ( ! [X0 : int > $o,X1 : int] : (((X0 @ X1) = ((collect_int @ X0) @ X1))) )), 11.30/1.98 inference(argument_congruence,[],[f4628])). 11.30/1.98 thf(f4628,plain,( 11.30/1.98 ( ! [X0 : int > $o] : (((collect_int @ X0) = X0)) )), 11.30/1.98 inference(cnf_transformation,[],[f2729])). 11.30/1.98 thf(f2729,plain,( 11.30/1.98 ! [X0 : int > $o] : ((collect_int @ X0) = X0)), 11.30/1.98 inference(rectify,[],[f94])). 11.30/1.98 thf(f94,axiom,( 11.30/1.98 ! [X123 : int > $o] : ((collect_int @ X123) = X123)), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_Collect__def)). 11.30/1.98 thf(f8028,plain,( 11.30/1.98 ( ! [X0 : int > $o,X1 : int] : (($true = ((collect_int @ X0) @ X1)) | ($false = (X0 @ X1))) )), 11.30/1.98 inference(binary_proxy_clausification,[],[f8025])). 11.30/1.98 thf(f7412,plain,( 11.30/1.98 ($true != ((ord_less_int @ (bit1 @ zero_zero_int)) @ t))), 11.30/1.98 inference(backward_demodulation,[],[f7396,f4627])). 11.30/1.98 thf(f7396,plain,( 11.30/1.98 ($true != ((ord_less_int @ (number_number_of_int @ (bit1 @ zero_zero_int))) @ t))), 11.30/1.98 inference(subsumption_resolution,[],[f6238,f6191])). 11.30/1.98 thf(f6238,plain,( 11.30/1.98 (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ zero_zero_int))))) @ m)) @ (number_number_of_int @ (bit1 @ zero_zero_int))) = ((plus_plus_int @ ((power_power_int @ sK51) @ (number_number_of_nat @ (bit0 @ (bit1 @ zero_zero_int))))) @ ((power_power_int @ sK52) @ (number_number_of_nat @ (bit0 @ (bit1 @ zero_zero_int)))))) | ($true != ((ord_less_int @ (number_number_of_int @ (bit1 @ zero_zero_int))) @ t))), 11.30/1.98 inference(definition_unfolding,[],[f4612,f4567,f6187,f4567,f4567,f6187])). 11.30/1.98 thf(f4612,plain,( 11.30/1.98 (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ sK51) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ sK52) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (((ord_less_int @ one_one_int) @ t) != $true)), 11.30/1.98 inference(cnf_transformation,[],[f4155])). 11.30/1.98 thf(f4155,plain,( 11.30/1.98 (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ sK51) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ sK52) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (((ord_less_int @ one_one_int) @ t) != $true)), 11.30/1.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f3203,f4154])). 11.30/1.98 thf(f4154,plain,( 11.30/1.98 ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) => (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ sK51) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ sK52) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 introduced(choice_axiom,[])). 11.30/1.98 thf(f3203,plain,( 11.30/1.98 ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (((ord_less_int @ one_one_int) @ t) != $true)), 11.30/1.98 inference(ennf_transformation,[],[f1207])). 11.30/1.98 thf(f1207,plain,( 11.30/1.98 (((ord_less_int @ one_one_int) @ t) = $true) => ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 inference(fool_elimination,[],[f1206])). 11.30/1.98 thf(f1206,plain,( 11.30/1.98 ((ord_less_int @ one_one_int) @ t) => ? [X0 : int,X1 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X0) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 inference(rectify,[],[f512])). 11.30/1.98 thf(f512,axiom,( 11.30/1.98 ((ord_less_int @ one_one_int) @ t) => ? [X148 : int,X149 : int] : (((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int) = ((plus_plus_int @ ((power_power_int @ X148) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X149) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 11.30/1.98 thf(f4992,plain,( 11.30/1.98 ( ! [X0 : int,X1 : int] : (($true = ((ord_less_int @ X1) @ X0)) | ($true = ((ord_less_int @ X0) @ X1)) | (X0 = X1)) )), 11.30/1.98 inference(cnf_transformation,[],[f1451])). 11.30/1.98 thf(f1451,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : (($true = ((ord_less_int @ X0) @ X1)) | ($true = ((ord_less_int @ X1) @ X0)) | (X0 = X1))), 11.30/1.98 inference(fool_elimination,[],[f1450])). 11.30/1.98 thf(f1450,plain,( 11.30/1.98 ! [X0 : int,X1 : int] : (((ord_less_int @ X0) @ X1) | ((ord_less_int @ X1) @ X0) | (X0 = X1))), 11.30/1.98 inference(rectify,[],[f800])). 11.30/1.98 thf(f800,axiom,( 11.30/1.98 ! [X25 : int,X36 : int] : (((ord_less_int @ X25) @ X36) | ((ord_less_int @ X36) @ X25) | (X25 = X36))), 11.30/1.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_zless__linear)). 11.30/1.98 % SZS output end Proof for theBenchmark 11.30/1.98 % (10929)------------------------------ 11.30/1.98 % (10929)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 11.30/1.98 % (10929)Termination reason: Refutation 11.30/1.98 11.30/1.98 % (10929)Memory used [KB]: 13816 11.30/1.98 % (10929)Time elapsed: 1.532 s 11.30/1.98 % (10929)------------------------------ 11.30/1.98 % (10929)------------------------------ 11.30/1.98 % (10912)Success in time 1.63 s 11.30/1.99 EOF