0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.14/0.35 % Computer : n009.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 14:37:57 EDT 2021 0.14/0.35 % CPUTime : 0.21/0.35 This is a THF_ problem 0.21/0.36 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.36 Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (22828)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 0.21/0.42 % (22818)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 0.21/0.43 % (22836)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 0.21/0.43 % (22817)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 0.21/0.43 % (22827)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 0.21/0.43 % (22829)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 0.21/0.44 % (22819)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 0.21/0.44 % (22816)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 0.21/0.44 % (22844)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 0.21/0.45 % (22831)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 0.21/0.45 % (22840)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 0.21/0.45 % (22821)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 0.21/0.45 % (22820)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 0.21/0.45 % (22823)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 0.21/0.45 % (22838)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 0.21/0.45 % (22842)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 0.21/0.46 % (22830)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 0.21/0.46 % (22841)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 0.21/0.46 % (22834)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 0.21/0.46 % (22833)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 0.21/0.46 % (22832)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 0.21/0.46 % (22839)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 0.21/0.46 % (22843)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 0.21/0.46 % (22845)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 0.21/0.47 % (22822)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 0.21/0.47 % (22825)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 0.21/0.47 % (22824)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 0.21/0.47 % (22837)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 0.21/0.47 % (22835)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 0.21/0.47 % (22826)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 0.21/0.51 % (22823)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.53 % (22820)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.54 % (22829)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.54 % (22841)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.55 % (22822)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.55 % (22833)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.55 % (22832)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.55 % (22825)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.56 % (22839)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.57 % (22818)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.58 % (22838)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.59 % (22840)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.21/0.59 % (22831)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.61 % (22835)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.21/0.61 % (22832)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.81/0.62 % (22825)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.81/0.63 % (22824)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 2.74/0.74 % (22830)First to succeed. 2.87/0.75 % (22830)Refutation found. Thanks to Tanya! 2.87/0.75 % SZS status Theorem for theBenchmark 2.87/0.75 % SZS output start Proof for theBenchmark 2.87/0.75 thf(type_def_6, type, set_se933006839lle_hf: $tType). 2.87/0.75 thf(type_def_7, type, set_HF_Mirabelle_hf: $tType). 2.87/0.75 thf(type_def_8, type, hF_Mirabelle_hf: $tType). 2.87/0.75 thf(type_def_9, type, set_nat: $tType). 2.87/0.75 thf(type_def_10, type, nat: $tType). 2.87/0.75 thf(type_def_11, type, >: ($tType * $tType) > $tType). 2.87/0.75 thf(func_def_12, type, finite1213132899lle_hf: set_HF_Mirabelle_hf > nat). 2.87/0.75 thf(func_def_13, type, finite_card_nat: set_nat > nat). 2.87/0.75 thf(func_def_14, type, finite90088345lle_hf: set_se933006839lle_hf > nat). 2.87/0.75 thf(func_def_15, type, finite586181922lle_hf: set_HF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_16, type, finite_finite_nat: set_nat > $o). 2.87/0.75 thf(func_def_17, type, finite1450550360lle_hf: set_se933006839lle_hf > $o). 2.87/0.75 thf(func_def_18, type, inj_on755450110lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_19, type, inj_on1874279374hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_20, type, inj_on1988990670lle_hf: (nat > hF_Mirabelle_hf) > set_nat > $o). 2.87/0.75 thf(func_def_21, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 2.87/0.75 thf(func_def_22, type, inj_on811196232lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > $o). 2.87/0.75 thf(func_def_23, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 2.87/0.75 thf(func_def_24, type, zero_zero_nat: nat). 2.87/0.75 thf(func_def_25, type, hF_Mir818139703ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_26, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_27, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_28, type, hF_Mir1248913145eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_29, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_30, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_31, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_32, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_33, type, ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_34, type, ord_less_nat: nat > nat > $o). 2.87/0.75 thf(func_def_35, type, ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_36, type, ord_less_set_nat: set_nat > set_nat > $o). 2.87/0.75 thf(func_def_37, type, ord_le2017230260lle_hf: ($o > hF_Mirabelle_hf) > ($o > hF_Mirabelle_hf) > $o). 2.87/0.75 thf(func_def_38, type, ord_less_eq_o_nat: ($o > nat) > ($o > nat) > $o). 2.87/0.75 thf(func_def_39, type, ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_40, type, ord_less_eq_nat: nat > nat > $o). 2.87/0.75 thf(func_def_41, type, ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_42, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 2.87/0.75 thf(func_def_43, type, order_1640852850lle_hf: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_44, type, order_Greatest_nat: (nat > $o) > nat). 2.87/0.75 thf(func_def_45, type, order_690706045lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > $o). 2.87/0.75 thf(func_def_46, type, order_557194383hf_nat: (hF_Mirabelle_hf > nat) > $o). 2.87/0.75 thf(func_def_47, type, order_671905679lle_hf: (nat > hF_Mirabelle_hf) > $o). 2.87/0.75 thf(func_def_48, type, order_1631207636at_nat: (nat > nat) > $o). 2.87/0.75 thf(func_def_49, type, orderi1737556723lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > $o). 2.87/0.75 thf(func_def_50, type, ordering_nat: (nat > nat > $o) > (nat > nat > $o) > $o). 2.87/0.75 thf(func_def_51, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_52, type, collec1758573718lle_hf: (set_HF_Mirabelle_hf > $o) > set_se933006839lle_hf). 2.87/0.75 thf(func_def_53, type, image_1743964010lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_54, type, image_131453538hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat). 2.87/0.75 thf(func_def_55, type, image_246164834lle_hf: (nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_56, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 2.87/0.75 thf(func_def_57, type, image_899003828lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_58, type, set_or1544565540an_nat: nat > nat > set_nat). 2.87/0.75 thf(func_def_59, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 2.87/0.75 thf(func_def_60, type, member_nat: nat > set_nat > $o). 2.87/0.75 thf(func_def_61, type, member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o). 2.87/0.75 thf(func_def_62, type, a: hF_Mirabelle_hf). 2.87/0.75 thf(func_def_63, type, b: hF_Mirabelle_hf). 2.87/0.75 thf(func_def_65, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 2.87/0.75 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 2.87/0.75 thf(func_def_69, type, vAND: $o > $o > $o). 2.87/0.75 thf(func_def_70, type, vIMP: $o > $o > $o). 2.87/0.75 thf(func_def_71, type, vNOT: $o > $o). 2.87/0.75 thf(func_def_72, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 2.87/0.75 thf(func_def_73, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 2.87/0.75 thf(func_def_74, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 2.87/0.75 thf(func_def_75, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 2.87/0.75 thf(func_def_76, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 2.87/0.75 thf(func_def_77, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 2.87/0.75 thf(func_def_78, type, vOR: $o > $o > $o). 2.87/0.75 thf(func_def_79, type, sP0: nat > (nat > $o) > nat > $o). 2.87/0.75 thf(func_def_80, type, sP1: nat > nat > nat > $o). 2.87/0.75 thf(func_def_81, type, sP2: nat > nat > nat > $o). 2.87/0.75 thf(func_def_82, type, sP3: nat > nat > nat > $o). 2.87/0.75 thf(func_def_83, type, sP4: nat > nat > nat > $o). 2.87/0.75 thf(func_def_84, type, sK5: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_85, type, sK6: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_86, type, sK7: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_87, type, sK8: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_88, type, sK9: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_89, type, sK10: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_90, type, sK11: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_91, type, sK12: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_92, type, sK13: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_93, type, sK14: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_94, type, sK15: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_95, type, sK16: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_96, type, sK17: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_97, type, sK18: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_98, type, sK19: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_99, type, sK20: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_100, type, sK21: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_101, type, sK22: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_102, type, sK23: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_103, type, sK24: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_104, type, sK25: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_105, type, sK26: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_106, type, sK27: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_107, type, sK28: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_108, type, sK29: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_109, type, sK30: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_110, type, sK31: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_111, type, sK32: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_112, type, sK33: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_113, type, sK34: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_114, type, sK35: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_115, type, sK36: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_116, type, sK37: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_117, type, sK38: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_118, type, sK39: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_119, type, sK40: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_120, type, sK41: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_121, type, sK42: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_122, type, sK43: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_123, type, sK44: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_124, type, sK45: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_125, type, sK46: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_126, type, sK47: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_127, type, sK48: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_128, type, sK49: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_129, type, sK50: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_130, type, sK51: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_131, type, sK52: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_132, type, sK53: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_133, type, sK54: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_134, type, sK55: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_135, type, sK56: hF_Mirabelle_hf > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_136, type, sK57: (nat > nat) > nat). 2.87/0.75 thf(func_def_137, type, sK58: (nat > nat) > nat). 2.87/0.75 thf(func_def_138, type, sK59: (nat > nat) > nat). 2.87/0.75 thf(func_def_139, type, sK60: (nat > nat) > nat). 2.87/0.75 thf(func_def_140, type, sK61: (nat > nat) > nat). 2.87/0.75 thf(func_def_141, type, sK62: (nat > nat) > nat). 2.87/0.75 thf(func_def_142, type, sK63: (nat > nat) > nat). 2.87/0.75 thf(func_def_143, type, sK64: (nat > nat) > nat). 2.87/0.75 thf(func_def_144, type, sK65: (nat > nat) > nat). 2.87/0.75 thf(func_def_145, type, sK66: (nat > nat) > nat). 2.87/0.75 thf(func_def_146, type, sK67: (nat > nat) > nat). 2.87/0.75 thf(func_def_147, type, sK68: (nat > nat) > nat). 2.87/0.75 thf(func_def_148, type, sK69: (nat > nat) > nat). 2.87/0.75 thf(func_def_149, type, sK70: (nat > nat) > nat). 2.87/0.75 thf(func_def_150, type, sK71: (nat > nat) > nat). 2.87/0.75 thf(func_def_151, type, sK72: (nat > nat) > nat). 2.87/0.75 thf(func_def_152, type, sK73: nat > nat > (nat > $o) > nat). 2.87/0.75 thf(func_def_153, type, sK74: (nat > $o) > nat > nat > nat). 2.87/0.75 thf(func_def_154, type, sK75: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_155, type, sK76: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_156, type, sK77: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_157, type, sK78: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_158, type, sK79: nat > nat). 2.87/0.75 thf(func_def_159, type, sK80: nat > nat). 2.87/0.75 thf(func_def_160, type, sK81: nat > nat). 2.87/0.75 thf(func_def_161, type, sK82: nat > nat). 2.87/0.75 thf(func_def_162, type, sK83: (nat > nat) > nat). 2.87/0.75 thf(func_def_163, type, sK84: (nat > nat) > nat). 2.87/0.75 thf(func_def_164, type, sK85: (nat > nat) > nat). 2.87/0.75 thf(func_def_165, type, sK86: (nat > nat) > nat). 2.87/0.75 thf(func_def_166, type, sK87: (nat > nat) > nat). 2.87/0.75 thf(func_def_167, type, sK88: (nat > nat) > nat). 2.87/0.75 thf(func_def_168, type, sK89: (nat > nat) > nat). 2.87/0.75 thf(func_def_169, type, sK90: (nat > nat) > nat). 2.87/0.75 thf(func_def_170, type, sK91: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_171, type, sK92: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_172, type, sK93: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_173, type, sK94: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_174, type, sK95: (nat > nat > $o) > nat). 2.87/0.75 thf(func_def_175, type, sK96: (nat > $o) > nat). 2.87/0.75 thf(func_def_176, type, sK97: nat > nat). 2.87/0.75 thf(func_def_177, type, sK98: nat > nat). 2.87/0.75 thf(func_def_178, type, sK99: nat > nat). 2.87/0.75 thf(func_def_179, type, sK100: nat > nat). 2.87/0.75 thf(func_def_180, type, sK101: nat > nat). 2.87/0.75 thf(func_def_181, type, sK102: nat > nat). 2.87/0.75 thf(func_def_182, type, sK103: nat > nat). 2.87/0.75 thf(func_def_183, type, sK104: nat > nat). 2.87/0.75 thf(func_def_184, type, sK105: nat > nat). 2.87/0.75 thf(func_def_185, type, sK106: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_186, type, sK107: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_187, type, sK108: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_188, type, sK109: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_189, type, sK110: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_190, type, sK111: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_191, type, sK112: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_192, type, sK113: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_193, type, sK114: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_194, type, sK115: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_195, type, sK116: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_196, type, sK117: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_197, type, sK118: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_198, type, sK119: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_199, type, sK120: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_200, type, sK121: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_201, type, sK122: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_202, type, sK123: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_203, type, sK124: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_204, type, sK125: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_205, type, sK126: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_206, type, sK127: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_207, type, sK128: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_208, type, sK129: (nat > hF_Mirabelle_hf) > nat). 2.87/0.75 thf(func_def_209, type, sK130: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_210, type, sK131: (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_211, type, sK132: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_212, type, sK133: (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf). 2.87/0.75 thf(func_def_213, type, sK134: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 2.87/0.75 thf(func_def_214, type, sK135: nat > (nat > $o) > (nat > $o) > nat). 2.87/0.75 thf(func_def_215, type, sK136: nat > (nat > $o) > (nat > $o) > nat). 2.87/0.75 thf(func_def_216, type, sK137: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 2.87/0.75 thf(func_def_217, type, sK138: nat > (nat > $o) > (nat > $o) > nat). 2.87/0.75 thf(func_def_218, type, sK139: nat > (nat > $o) > (nat > $o) > nat). 2.87/0.75 thf(func_def_219, type, sK140: set_nat > (nat > nat) > set_nat > set_nat). 2.87/0.75 thf(func_def_220, type, sK141: set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > set_nat > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_221, type, sK142: set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 2.87/0.75 thf(func_def_222, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 2.87/0.75 thf(func_def_226, type, sK143: hF_Mirabelle_hf). 2.87/0.75 thf(f2064,plain,( 2.87/0.75 $false), 2.87/0.75 inference(global_subsumption,[],[f2029,f2063])). 2.87/0.75 thf(f2063,plain,( 2.87/0.75 ($true != ((hF_Mirabelle_hmem @ sK143) @ a))), 2.87/0.75 inference(trivial_inequality_removal,[],[f2050])). 2.87/0.75 thf(f2050,plain,( 2.87/0.75 ($true = $false) | ($true != ((hF_Mirabelle_hmem @ sK143) @ a))), 2.87/0.75 inference(superposition,[],[f1539,f2028])). 2.87/0.75 thf(f2028,plain,( 2.87/0.75 ($false = ((hF_Mirabelle_hmem @ sK143) @ b))), 2.87/0.75 inference(binary_proxy_clausification,[],[f2027])). 2.87/0.75 thf(f2027,plain,( 2.87/0.75 ($false = ((vIMP @ ((hF_Mirabelle_hmem @ sK143) @ a)) @ ((hF_Mirabelle_hmem @ sK143) @ b)))), 2.87/0.75 inference(combinator_demodulation,[],[f2026])). 2.87/0.75 thf(f2026,plain,( 2.87/0.75 ($false = (((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ hF_Mirabelle_hmem) @ a))) @ ((cCOMB @ hF_Mirabelle_hmem) @ b)) @ sK143))), 2.87/0.75 inference(sigma_clausification,[],[f2025])). 2.87/0.75 thf(f2025,plain,( 2.87/0.75 ($true != (vPI(hF_Mirabelle_hf) @ ((sCOMB @ ((bCOMB @ vIMP) @ ((cCOMB @ hF_Mirabelle_hmem) @ a))) @ ((cCOMB @ hF_Mirabelle_hmem) @ b))))), 2.87/0.75 inference(combinator_demodulation,[],[f1830])). 2.87/0.75 thf(f1830,plain,( 2.87/0.75 ($true != ((((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ hF_Mirabelle_hmem))))) @ (cCOMB @ hF_Mirabelle_hmem))) @ a) @ b))), 2.87/0.75 inference(definition_unfolding,[],[f1538,f1616])). 2.87/0.75 thf(f1616,plain,( 2.87/0.75 (ord_le976219883lle_hf = ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ hF_Mirabelle_hmem))))) @ (cCOMB @ hF_Mirabelle_hmem))))), 2.87/0.75 inference(cnf_transformation,[],[f407])). 2.87/0.75 thf(f407,plain,( 2.87/0.75 (ord_le976219883lle_hf = ((bCOMB @ (bCOMB @ vPI(hF_Mirabelle_hf))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ hF_Mirabelle_hmem))))) @ (cCOMB @ hF_Mirabelle_hmem))))), 2.87/0.75 inference(fool_elimination,[],[f406])). 2.87/0.75 thf(f406,plain,( 2.87/0.75 (ord_le976219883lle_hf = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : (! [X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X2) @ X0) => ((hF_Mirabelle_hmem @ X2) @ X1)))))), 2.87/0.75 inference(rectify,[],[f217])). 2.87/0.75 thf(f217,axiom,( 2.87/0.75 (ord_le976219883lle_hf = (^[X61 : hF_Mirabelle_hf, X40 : hF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X1) @ X61) => ((hF_Mirabelle_hmem @ X1) @ X40)))))), 2.87/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_less__eq__hf__def)). 2.87/0.75 thf(f1538,plain,( 2.87/0.75 (((ord_le976219883lle_hf @ a) @ b) != $true)), 2.87/0.75 inference(cnf_transformation,[],[f1032])). 2.87/0.75 thf(f1032,plain,( 2.87/0.75 (((ord_le976219883lle_hf @ a) @ b) != $true)), 2.87/0.75 inference(flattening,[],[f353])). 2.87/0.75 thf(f353,plain,( 2.87/0.75 ~(((ord_le976219883lle_hf @ a) @ b) = $true)), 2.87/0.75 inference(fool_elimination,[],[f352])). 2.87/0.75 thf(f352,plain,( 2.87/0.75 ~((ord_le976219883lle_hf @ a) @ b)), 2.87/0.75 inference(rectify,[],[f257])). 2.87/0.75 thf(f257,negated_conjecture,( 2.87/0.75 ~((ord_le976219883lle_hf @ a) @ b)), 2.87/0.75 inference(negated_conjecture,[],[f256])). 2.87/0.75 thf(f256,conjecture,( 2.87/0.75 ((ord_le976219883lle_hf @ a) @ b)), 2.87/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 2.87/0.75 thf(f1539,plain,( 2.87/0.75 ( ! [X0 : hF_Mirabelle_hf] : (($true = ((hF_Mirabelle_hmem @ X0) @ b)) | ($true != ((hF_Mirabelle_hmem @ X0) @ a))) )), 2.87/0.75 inference(cnf_transformation,[],[f1070])). 2.87/0.75 thf(f1070,plain,( 2.87/0.75 ! [X0 : hF_Mirabelle_hf] : (($true = ((hF_Mirabelle_hmem @ X0) @ b)) | ($true != ((hF_Mirabelle_hmem @ X0) @ a)))), 2.87/0.75 inference(ennf_transformation,[],[f355])). 2.87/0.75 thf(f355,plain,( 2.87/0.75 ! [X0 : hF_Mirabelle_hf] : (($true = ((hF_Mirabelle_hmem @ X0) @ a)) => ($true = ((hF_Mirabelle_hmem @ X0) @ b)))), 2.87/0.75 inference(fool_elimination,[],[f354])). 2.87/0.75 thf(f354,plain,( 2.87/0.75 ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0) @ a) => ((hF_Mirabelle_hmem @ X0) @ b))), 2.87/0.75 inference(rectify,[],[f318])). 2.87/0.75 thf(f318,axiom,( 2.87/0.75 ! [X7 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X7) @ a) => ((hF_Mirabelle_hmem @ X7) @ b))), 2.87/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 2.87/0.75 thf(f2029,plain,( 2.87/0.75 ($true = ((hF_Mirabelle_hmem @ sK143) @ a))), 2.87/0.75 inference(binary_proxy_clausification,[],[f2027])). 2.87/0.75 % SZS output end Proof for theBenchmark 2.87/0.75 % (22830)------------------------------ 2.87/0.75 % (22830)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 2.87/0.75 % (22830)Termination reason: Refutation 2.87/0.75 2.87/0.75 % (22830)Memory used [KB]: 8443 2.87/0.75 % (22830)Time elapsed: 0.329 s 2.87/0.75 % (22830)------------------------------ 2.87/0.75 % (22830)------------------------------ 2.87/0.75 % (22815)Success in time 0.388 s 2.87/0.75 EOF