0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.11 % Command : run_vampire %s %d 0.10/0.32 % Computer : n021.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.32 % CPULimit : 1200 0.15/0.32 % WCLimit : 120 0.15/0.32 % DateTime : Tue Jul 13 12:10:40 EDT 2021 0.15/0.32 % CPUTime : 0.15/0.32 This is a THF_ problem 0.16/0.32 Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.32 Running in auto input_syntax mode. Trying TPTP 0.16/0.35 % (23333)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 0.16/0.36 % (23336)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 0.16/0.36 % (23325)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 0.16/0.37 % (23328)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 0.16/0.37 % (23320)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 0.16/0.37 % (23336)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.37 % (23342)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 0.16/0.37 % (23342)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.37 % (23321)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 0.16/0.37 % (23321)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.37 % (23334)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 0.16/0.38 % (23334)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.38 % (23324)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 0.16/0.38 % (23323)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 0.16/0.38 % (23323)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.38 % (23341)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 0.16/0.38 % (23322)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 0.16/0.38 % (23344)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 0.16/0.38 % (23325)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.38 % (23328)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.38 % (23328)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.39 % (23326)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 0.16/0.39 % (23326)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.39 % (23335)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 0.16/0.39 % (23335)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.39 % (23335)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.39 % (23339)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 0.16/0.39 % (23340)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 0.16/0.39 % (23319)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 0.16/0.39 % (23329)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 0.16/0.39 % (23344)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.40 % (23337)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 0.16/0.40 % (23346)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 0.16/0.40 % (23348)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 0.16/0.40 % (23341)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.40 % (23332)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 0.16/0.40 % (23332)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.40 % (23331)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 0.16/0.40 % (23343)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 0.16/0.40 % (23343)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.16/0.41 % (23327)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 0.16/0.41 % (23327)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.41 % (23338)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 0.16/0.41 % (23345)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 0.16/0.42 % (23347)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 0.16/0.43 % (23338)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.16/0.44 % (23330)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 0.16/0.45 % (23336)First to succeed. 0.16/0.47 % (23336)Refutation found. Thanks to Tanya! 0.16/0.47 % SZS status Theorem for theBenchmark 0.16/0.47 % SZS output start Proof for theBenchmark 0.16/0.47 thf(type_def_6, type, a: $tType). 0.16/0.47 thf(type_def_7, type, >: ($tType * $tType) > $tType). 0.16/0.47 thf(func_def_8, type, cP: a > a > a). 0.16/0.47 thf(func_def_9, type, cZ: a). 0.16/0.47 thf(func_def_13, type, sK0: a). 0.16/0.47 thf(func_def_14, type, sK1: (a > $o) > a). 0.16/0.47 thf(func_def_15, type, sK2: (a > $o) > a). 0.16/0.47 thf(func_def_17, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 0.16/0.47 thf(func_def_18, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 0.16/0.47 thf(func_def_19, type, vAND: $o > $o > $o). 0.16/0.47 thf(func_def_20, type, vOR: $o > $o > $o). 0.16/0.47 thf(func_def_21, type, vIMP: $o > $o > $o). 0.16/0.47 thf(func_def_22, type, vNOT: $o > $o). 0.16/0.47 thf(func_def_23, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 0.16/0.47 thf(func_def_24, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 0.16/0.47 thf(func_def_25, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 0.16/0.47 thf(func_def_26, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 0.16/0.47 thf(f695,plain,( 0.16/0.47 $false), 0.16/0.47 inference(avatar_sat_refutation,[],[f29,f694])). 0.16/0.47 thf(f694,plain,( 0.16/0.47 spl3_2), 0.16/0.47 inference(avatar_contradiction_clause,[],[f693])). 0.16/0.47 thf(f693,plain,( 0.16/0.47 $false | spl3_2), 0.16/0.47 inference(subsumption_resolution,[],[f692,f28])). 0.16/0.47 thf(f28,plain,( 0.16/0.47 (cZ != sK0) | spl3_2), 0.16/0.47 inference(avatar_component_clause,[],[f26])). 0.16/0.47 thf(f26,plain,( 0.16/0.47 spl3_2 <=> (cZ = sK0)), 0.16/0.47 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])). 0.16/0.47 thf(f692,plain,( 0.16/0.47 (cZ = sK0)), 0.16/0.47 inference(equality_resolution,[],[f608])). 0.16/0.47 thf(f608,plain,( 0.16/0.47 ( ! [X15 : a] : ((sK0 != X15) | (cZ = X15)) )), 0.16/0.47 inference(superposition,[],[f19,f118])). 0.16/0.47 thf(f118,plain,( 0.16/0.47 ( ! [X0 : a] : ((((cP @ (sK1 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))) @ (sK2 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))) = X0) | (cZ = X0)) )), 0.16/0.47 inference(equality_proxy_clausification,[],[f117])). 0.16/0.47 thf(f117,plain,( 0.16/0.47 ( ! [X0 : a] : (($true = ((vEQ(a) @ X0) @ ((cP @ (sK1 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))) @ (sK2 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))))) | (cZ = X0)) )), 0.16/0.47 inference(not_proxy_clausification,[],[f116])). 0.16/0.47 thf(f116,plain,( 0.16/0.47 ( ! [X0 : a] : (($true != (vNOT @ ((vEQ(a) @ X0) @ ((cP @ (sK1 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))) @ (sK2 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0))))))) | (cZ = X0)) )), 0.16/0.47 inference(combinator_demodulation,[],[f96])). 0.16/0.47 thf(f96,plain,( 0.16/0.47 ( ! [X0 : a] : (($true != (((bCOMB @ vNOT) @ (vEQ(a) @ X0)) @ ((cP @ (sK1 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))) @ (sK2 @ ((bCOMB @ vNOT) @ (vEQ(a) @ X0)))))) | (cZ = X0)) )), 0.16/0.47 inference(leibniz_equality_elimination,[],[f17])). 0.16/0.47 thf(f17,plain,( 0.16/0.47 ( ! [X4 : a,X3 : a > $o] : (($true != (X3 @ cZ)) | ($true = (X3 @ X4)) | ($true != (X3 @ ((cP @ (sK1 @ X3)) @ (sK2 @ X3))))) )), 0.16/0.47 inference(cnf_transformation,[],[f11])). 0.16/0.47 thf(f11,plain,( 0.16/0.47 (! [X1 : a,X2 : a] : (((cP @ X1) @ X2) != sK0) & (cZ != sK0)) & ! [X3 : a > $o] : (! [X4 : a] : ($true = (X3 @ X4)) | ($true != (X3 @ cZ)) | (($true != (X3 @ ((cP @ (sK1 @ X3)) @ (sK2 @ X3)))) & ($true = (X3 @ (sK2 @ X3))) & ($true = (X3 @ (sK1 @ X3))))) & ! [X7 : a,X8 : a,X9 : a,X10 : a] : (((X7 = X8) & (X9 = X10)) | (((cP @ X7) @ X9) != ((cP @ X8) @ X10))) & ! [X11 : a,X12 : a] : (cZ != ((cP @ X11) @ X12))), 0.22/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f10,f9])). 0.22/0.47 thf(f9,plain,( 0.22/0.47 ? [X0 : a] : (! [X1 : a,X2 : a] : (((cP @ X1) @ X2) != X0) & (cZ != X0)) => (! [X2 : a,X1 : a] : (((cP @ X1) @ X2) != sK0) & (cZ != sK0))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 thf(f10,plain,( 0.22/0.47 ! [X3 : a > $o] : (? [X5 : a,X6 : a] : (($true != (X3 @ ((cP @ X5) @ X6))) & ($true = (X3 @ X6)) & ($true = (X3 @ X5))) => (($true != (X3 @ ((cP @ (sK1 @ X3)) @ (sK2 @ X3)))) & ($true = (X3 @ (sK2 @ X3))) & ($true = (X3 @ (sK1 @ X3)))))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 thf(f8,plain,( 0.22/0.47 ? [X0 : a] : (! [X1 : a,X2 : a] : (((cP @ X1) @ X2) != X0) & (cZ != X0)) & ! [X3 : a > $o] : (! [X4 : a] : ($true = (X3 @ X4)) | ($true != (X3 @ cZ)) | ? [X5 : a,X6 : a] : (($true != (X3 @ ((cP @ X5) @ X6))) & ($true = (X3 @ X6)) & ($true = (X3 @ X5)))) & ! [X7 : a,X8 : a,X9 : a,X10 : a] : (((X7 = X8) & (X9 = X10)) | (((cP @ X7) @ X9) != ((cP @ X8) @ X10))) & ! [X11 : a,X12 : a] : (cZ != ((cP @ X11) @ X12))), 0.22/0.47 inference(rectify,[],[f7])). 0.22/0.47 thf(f7,plain,( 0.22/0.47 ? [X10 : a] : (! [X11 : a,X12 : a] : (((cP @ X11) @ X12) != X10) & (cZ != X10)) & ! [X0 : a > $o] : (! [X3 : a] : ($true = (X0 @ X3)) | ($true != (X0 @ cZ)) | ? [X1 : a,X2 : a] : (($true != (X0 @ ((cP @ X1) @ X2))) & ($true = (X0 @ X2)) & ($true = (X0 @ X1)))) & ! [X4 : a,X5 : a,X6 : a,X7 : a] : (((X4 = X5) & (X6 = X7)) | (((cP @ X4) @ X6) != ((cP @ X5) @ X7))) & ! [X8 : a,X9 : a] : (cZ != ((cP @ X8) @ X9))), 0.22/0.47 inference(flattening,[],[f6])). 0.22/0.47 thf(f6,plain,( 0.22/0.47 ? [X10 : a] : (! [X11 : a,X12 : a] : (((cP @ X11) @ X12) != X10) & (cZ != X10)) & (! [X0 : a > $o] : (! [X3 : a] : ($true = (X0 @ X3)) | (($true != (X0 @ cZ)) | ? [X1 : a,X2 : a] : (($true != (X0 @ ((cP @ X1) @ X2))) & (($true = (X0 @ X2)) & ($true = (X0 @ X1)))))) & ! [X4 : a,X5 : a,X6 : a,X7 : a] : (((X4 = X5) & (X6 = X7)) | (((cP @ X4) @ X6) != ((cP @ X5) @ X7))) & ! [X8 : a,X9 : a] : (cZ != ((cP @ X8) @ X9)))), 0.22/0.47 inference(ennf_transformation,[],[f5])). 0.22/0.47 thf(f5,plain,( 0.22/0.47 ~((! [X0 : a > $o] : ((($true = (X0 @ cZ)) & ! [X1 : a,X2 : a] : ((($true = (X0 @ X2)) & ($true = (X0 @ X1))) => ($true = (X0 @ ((cP @ X1) @ X2))))) => ! [X3 : a] : ($true = (X0 @ X3))) & ! [X4 : a,X5 : a,X6 : a,X7 : a] : ((((cP @ X4) @ X6) = ((cP @ X5) @ X7)) => ((X4 = X5) & (X6 = X7))) & ! [X8 : a,X9 : a] : (cZ != ((cP @ X8) @ X9))) => ! [X10 : a] : (? [X11 : a,X12 : a] : (((cP @ X11) @ X12) = X10) | (cZ = X10)))), 0.22/0.47 inference(fool_elimination,[],[f4])). 0.22/0.47 thf(f4,plain,( 0.22/0.47 ~((! [X0 : a > $o] : (((X0 @ cZ) & ! [X1 : a,X2 : a] : (((X0 @ X2) & (X0 @ X1)) => (X0 @ ((cP @ X1) @ X2)))) => ! [X3 : a] : (X0 @ X3)) & ! [X4 : a,X5 : a,X6 : a,X7 : a] : ((((cP @ X4) @ X6) = ((cP @ X5) @ X7)) => ((X4 = X5) & (X6 = X7))) & ! [X8 : a,X9 : a] : (cZ != ((cP @ X8) @ X9))) => ! [X10 : a] : (? [X11 : a,X12 : a] : (((cP @ X11) @ X12) = X10) | (cZ = X10)))), 0.22/0.47 inference(rectify,[],[f2])). 0.22/0.47 thf(f2,negated_conjecture,( 0.22/0.47 ~((! [X5 : a > $o] : (((X5 @ cZ) & ! [X0 : a,X1 : a] : (((X5 @ X1) & (X5 @ X0)) => (X5 @ ((cP @ X0) @ X1)))) => ! [X0 : a] : (X5 @ X0)) & ! [X0 : a,X1 : a,X3 : a,X4 : a] : ((((cP @ X0) @ X3) = ((cP @ X1) @ X4)) => ((X0 = X1) & (X3 = X4))) & ! [X0 : a,X1 : a] : (cZ != ((cP @ X0) @ X1))) => ! [X0 : a] : (? [X1 : a,X2 : a] : (((cP @ X1) @ X2) = X0) | (cZ = X0)))), 0.22/0.47 inference(negated_conjecture,[],[f1])). 0.22/0.47 thf(f1,conjecture,( 0.22/0.47 (! [X5 : a > $o] : (((X5 @ cZ) & ! [X0 : a,X1 : a] : (((X5 @ X1) & (X5 @ X0)) => (X5 @ ((cP @ X0) @ X1)))) => ! [X0 : a] : (X5 @ X0)) & ! [X0 : a,X1 : a,X3 : a,X4 : a] : ((((cP @ X0) @ X3) = ((cP @ X1) @ X4)) => ((X0 = X1) & (X3 = X4))) & ! [X0 : a,X1 : a] : (cZ != ((cP @ X0) @ X1))) => ! [X0 : a] : (? [X1 : a,X2 : a] : (((cP @ X1) @ X2) = X0) | (cZ = X0))), 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_LEM1D_pme)). 0.22/0.47 thf(f19,plain,( 0.22/0.47 ( ! [X2 : a,X1 : a] : ((((cP @ X1) @ X2) != sK0)) )), 0.22/0.47 inference(cnf_transformation,[],[f11])). 0.22/0.47 thf(f29,plain,( 0.22/0.47 ~spl3_2), 0.22/0.47 inference(avatar_split_clause,[],[f18,f26])). 0.22/0.47 thf(f18,plain,( 0.22/0.47 (cZ != sK0)), 0.22/0.47 inference(cnf_transformation,[],[f11])). 0.22/0.47 % SZS output end Proof for theBenchmark 0.22/0.47 % (23336)------------------------------ 0.22/0.47 % (23336)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.47 % (23336)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (23336)Memory used [KB]: 11001 0.22/0.47 % (23336)Time elapsed: 0.120 s 0.22/0.47 % (23336)------------------------------ 0.22/0.47 % (23336)------------------------------ 0.22/0.47 % (23318)Success in time 0.147 s 0.22/0.48 EOF