0.05/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.15 % Command : run_vampire %s %d 0.11/0.36 % Computer : n006.cluster.edu 0.11/0.36 % Model : x86_64 x86_64 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.36 % Memory : 8042.1875MB 0.11/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.36 % CPULimit : 1200 0.11/0.36 % WCLimit : 120 0.11/0.37 % DateTime : Tue Jul 13 10:48:55 EDT 2021 0.11/0.37 % CPUTime : 0.11/0.37 This is a THF_ problem 0.11/0.37 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.37 Running in auto input_syntax mode. Trying TPTP 0.11/0.39 % (24436)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 0.11/0.39 % (24435)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 0.11/0.40 % (24437)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 0.17/0.41 % (24438)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 0.17/0.41 % (24436)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.41 % (24454)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 0.17/0.41 % (24438)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24451)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 0.17/0.42 % (24451)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24434)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 0.17/0.42 % (24440)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 0.17/0.42 % (24453)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 0.17/0.42 % (24441)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 0.17/0.42 % (24434)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24441)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24440)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24441)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24455)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 0.17/0.42 % (24455)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24447)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 0.17/0.42 % (24447)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24445)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 0.17/0.42 % (24445)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.42 % (24452)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 0.17/0.42 % (24446)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 0.17/0.43 % (24454)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.17/0.43 % (24443)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 0.17/0.43 % (24439)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 0.17/0.43 % (24444)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 0.17/0.43 % (24435)First to succeed. 0.17/0.43 % (24460)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 0.17/0.43 % (24439)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.17/0.43 % (24435)Refutation found. Thanks to Tanya! 0.17/0.43 % SZS status Theorem for theBenchmark 0.17/0.43 % SZS output start Proof for theBenchmark 0.17/0.43 thf(type_def_6, type, num: $tType). 0.17/0.43 thf(type_def_7, type, >: ($tType * $tType) > $tType). 0.17/0.43 thf(func_def_8, type, brother_THFTYPE_IiioI: $i > $i > $o). 0.17/0.43 thf(func_def_13, type, sister_THFTYPE_IiioI: $i > $i > $o). 0.17/0.43 thf(func_def_15, type, vNOT: $o > $o). 0.17/0.43 thf(func_def_16, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 0.17/0.43 thf(func_def_19, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 0.17/0.43 thf(func_def_20, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.17/0.43 thf(func_def_21, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.17/0.43 thf(func_def_22, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 0.17/0.43 thf(func_def_24, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.17/0.43 thf(func_def_25, type, vAND: $o > $o > $o). 0.17/0.43 thf(func_def_26, type, vOR: $o > $o > $o). 0.17/0.43 thf(func_def_27, type, vIMP: $o > $o > $o). 0.17/0.43 thf(func_def_28, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.17/0.43 thf(func_def_29, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.17/0.43 thf(f228,plain,( 0.17/0.43 $false), 0.17/0.43 inference(avatar_sat_refutation,[],[f194,f208])). 0.17/0.43 thf(f208,plain,( 0.17/0.43 ~spl0_3), 0.17/0.43 inference(avatar_contradiction_clause,[],[f207])). 0.17/0.43 thf(f207,plain,( 0.17/0.43 $false | ~spl0_3), 0.17/0.43 inference(trivial_inequality_removal,[],[f206])). 0.17/0.43 thf(f206,plain,( 0.17/0.43 ($true = $false) | ~spl0_3), 0.17/0.43 inference(boolean_simplification,[],[f205])). 0.17/0.43 thf(f205,plain,( 0.17/0.43 ($true = (vNOT @ $true)) | ~spl0_3), 0.17/0.43 inference(boolean_simplification,[],[f199])). 0.17/0.43 thf(f199,plain,( 0.17/0.43 ($true = (vNOT @ ((vEQ($i) @ lBill_THFTYPE_i) @ lBill_THFTYPE_i))) | ~spl0_3), 0.17/0.43 inference(backward_demodulation,[],[f32,f66])). 0.17/0.43 thf(f66,plain,( 0.17/0.43 (lBill_THFTYPE_i = lSue_THFTYPE_i) | ~spl0_3), 0.17/0.43 inference(avatar_component_clause,[],[f65])). 0.17/0.43 thf(f65,plain,( 0.17/0.43 spl0_3 <=> (lBill_THFTYPE_i = lSue_THFTYPE_i)), 0.17/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.17/0.43 thf(f32,plain,( 0.17/0.43 ($true = (vNOT @ ((vEQ($i) @ lBill_THFTYPE_i) @ lSue_THFTYPE_i)))), 0.17/0.43 inference(cnf_transformation,[],[f18])). 0.17/0.43 thf(f18,plain,( 0.17/0.43 ($true = (vNOT @ ((vEQ($i) @ lBob_THFTYPE_i) @ lSue_THFTYPE_i))) & ($true = (vNOT @ ((vEQ($i) @ lBill_THFTYPE_i) @ lSue_THFTYPE_i)))), 0.17/0.43 inference(fool_elimination,[],[f17])). 0.17/0.43 thf(f17,plain,( 0.17/0.43 (vNOT @ (lBob_THFTYPE_i = lSue_THFTYPE_i)) & (vNOT @ (lBill_THFTYPE_i = lSue_THFTYPE_i))), 0.17/0.43 inference(rectify,[],[f7])). 0.17/0.43 thf(f7,axiom,( 0.17/0.43 (vNOT @ (lBob_THFTYPE_i = lSue_THFTYPE_i)) & (vNOT @ (lBill_THFTYPE_i = lSue_THFTYPE_i))), 0.17/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002)). 0.17/0.43 thf(f194,plain,( 0.17/0.43 spl0_3), 0.17/0.43 inference(avatar_split_clause,[],[f193,f65])). 0.17/0.43 thf(f193,plain,( 0.17/0.43 (lBill_THFTYPE_i = lSue_THFTYPE_i)), 0.17/0.43 inference(global_subsumption,[],[f140])). 0.17/0.43 thf(f140,plain,( 0.17/0.43 (lBill_THFTYPE_i = lSue_THFTYPE_i)), 0.17/0.43 inference(trivial_inequality_removal,[],[f139])). 0.17/0.43 thf(f139,plain,( 0.17/0.43 ($true = $false) | (lBill_THFTYPE_i = lSue_THFTYPE_i)), 0.17/0.43 inference(boolean_simplification,[],[f138])). 0.17/0.43 thf(f138,plain,( 0.17/0.43 ($true = (vNOT @ $true)) | (lBill_THFTYPE_i = lSue_THFTYPE_i)), 0.17/0.43 inference(boolean_simplification,[],[f134])). 0.17/0.43 thf(f134,plain,( 0.17/0.43 ($true = (vNOT @ ((vEQ($i) @ lBob_THFTYPE_i) @ lBob_THFTYPE_i))) | (lBill_THFTYPE_i = lSue_THFTYPE_i)), 0.17/0.43 inference(superposition,[],[f33,f102])). 0.17/0.43 thf(f102,plain,( 0.17/0.43 ( ! [X0 : $i] : ((lBob_THFTYPE_i = X0) | (lBill_THFTYPE_i = X0)) )), 0.17/0.43 inference(equality_proxy_clausification,[],[f101])). 0.17/0.43 thf(f101,plain,( 0.17/0.43 ( ! [X0 : $i] : (($true = ((vEQ($i) @ X0) @ lBill_THFTYPE_i)) | (lBob_THFTYPE_i = X0)) )), 0.17/0.43 inference(not_proxy_clausification,[],[f100])). 0.17/0.43 thf(f100,plain,( 0.17/0.43 ( ! [X0 : $i] : (($true != (vNOT @ ((vEQ($i) @ X0) @ lBill_THFTYPE_i))) | (lBob_THFTYPE_i = X0)) )), 0.17/0.43 inference(combinator_demodulation,[],[f78])). 0.17/0.43 thf(f78,plain,( 0.17/0.43 ( ! [X0 : $i] : (($true != (((bCOMB @ vNOT) @ (vEQ($i) @ X0)) @ lBill_THFTYPE_i)) | (lBob_THFTYPE_i = X0)) )), 0.17/0.43 inference(leibniz_equality_elimination,[],[f49])). 0.17/0.43 thf(f49,plain,( 0.17/0.43 ( ! [X17 : $i,X15 : $i > $o] : (($true != (X15 @ lBob_THFTYPE_i)) | ($true = (X15 @ X17)) | ($true != (X15 @ lBill_THFTYPE_i))) )), 0.17/0.43 inference(combinator_demodulation,[],[f44])). 0.17/0.43 thf(f44,plain,( 0.17/0.43 ( ! [X17 : $i,X15 : $i > $o,X16 : $i] : (($true != (X15 @ lBob_THFTYPE_i)) | ($true = (((kCOMB @ X15) @ X16) @ X17)) | ($true != (((kCOMB @ X15) @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))) )), 0.17/0.43 inference(kx_narrow,[],[f39])). 0.17/0.43 thf(f39,plain,( 0.17/0.43 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true = ((X0 @ X2) @ X1)) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true)) )), 0.17/0.43 inference(combinator_demodulation,[],[f38])). 0.17/0.43 thf(f38,plain,( 0.17/0.43 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true = (((cCOMB @ X0) @ X1) @ X2)) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true)) )), 0.17/0.43 inference(pi_clausification,[],[f37])). 0.17/0.43 thf(f37,plain,( 0.17/0.43 ( ! [X0 : $i > $i > $o,X1 : $i] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true = (vPI($i) @ ((cCOMB @ X0) @ X1))) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true)) )), 0.17/0.43 inference(combinator_demodulation,[],[f36])). 0.17/0.43 thf(f36,plain,( 0.17/0.43 ( ! [X0 : $i > $i > $o,X1 : $i] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true = (((bCOMB @ vPI($i)) @ (cCOMB @ X0)) @ X1)) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true)) )), 0.17/0.43 inference(pi_clausification,[],[f35])). 0.17/0.43 thf(f35,plain,( 0.17/0.43 ( ! [X0 : $i > $i > $o] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true = (vPI($i) @ ((bCOMB @ vPI($i)) @ (cCOMB @ X0)))) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true)) )), 0.17/0.43 inference(not_proxy_clausification,[],[f22])). 0.17/0.43 thf(f22,plain,( 0.17/0.43 ( ! [X0 : $i > $i > $o] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true != (vNOT @ (vPI($i) @ ((bCOMB @ vPI($i)) @ (cCOMB @ X0))))) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true)) )), 0.17/0.43 inference(cnf_transformation,[],[f21])). 0.17/0.43 thf(f21,plain,( 0.17/0.43 ! [X0 : $i > $i > $o] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) != $true) | ($true != (vNOT @ (vPI($i) @ ((bCOMB @ vPI($i)) @ (cCOMB @ X0))))) | (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) != $true))), 0.17/0.43 inference(ennf_transformation,[],[f10])). 0.17/0.43 thf(f10,plain,( 0.17/0.43 ~? [X0 : $i > $i > $o] : ((((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) = $true) & ($true = (vNOT @ (vPI($i) @ ((bCOMB @ vPI($i)) @ (cCOMB @ X0))))) & (((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i) = $true))), 0.17/0.43 inference(fool_elimination,[],[f9])). 0.17/0.43 thf(f9,plain,( 0.17/0.43 ~? [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) & (vNOT @ ! [X1,X2] : ((X0 @ X1) @ X2)) & ((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))), 0.17/0.43 inference(rectify,[],[f2])). 0.17/0.43 thf(f2,negated_conjecture,( 0.17/0.43 ~? [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) & (vNOT @ ! [X1,X2] : ((X0 @ X1) @ X2)) & ((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))), 0.17/0.43 inference(negated_conjecture,[],[f1])). 0.17/0.43 thf(f1,conjecture,( 0.17/0.43 ? [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i) @ lBob_THFTYPE_i) & (vNOT @ ! [X1,X2] : ((X0 @ X1) @ X2)) & ((X0 @ lBob_THFTYPE_i) @ lBill_THFTYPE_i))), 0.17/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)). 0.17/0.43 thf(f33,plain,( 0.17/0.43 ($true = (vNOT @ ((vEQ($i) @ lBob_THFTYPE_i) @ lSue_THFTYPE_i)))), 0.17/0.43 inference(cnf_transformation,[],[f18])). 0.17/0.43 % SZS output end Proof for theBenchmark 0.17/0.43 % (24435)------------------------------ 0.17/0.43 % (24435)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.17/0.43 % (24435)Termination reason: Refutation 0.17/0.43 0.17/0.43 % (24435)Memory used [KB]: 10490 0.17/0.43 % (24435)Time elapsed: 0.010 s 0.17/0.43 % (24435)------------------------------ 0.17/0.43 % (24435)------------------------------ 0.17/0.44 % (24431)Success in time 0.061 s 0.17/0.44 EOF