0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d 0.11/0.33 % Computer : n022.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Thu Jul 2 08:56:17 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.36 % (19773)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.11/0.37 % (19779)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=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_3 on theBenchmark 0.18/0.37 % (19796)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=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_50 on theBenchmark 0.18/0.38 % (19774)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.18/0.38 % (19775)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=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_3 on theBenchmark 0.18/0.38 % (19778)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=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_14 on theBenchmark 0.18/0.38 % (19777)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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_13 on theBenchmark 0.18/0.38 % (19786)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.18/0.38 % (19788)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=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_7 on theBenchmark 0.18/0.38 % (19781)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.18/0.38 % (19782)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=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_3 on theBenchmark 0.18/0.38 % (19783)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_40 on theBenchmark 0.18/0.38 % (19785)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=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_2 on theBenchmark 0.18/0.38 % (19800)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.18/0.38 % (19795)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.18/0.39 % (19787)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=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_1 on theBenchmark 0.18/0.39 % (19780)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.18/0.39 % (19802)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=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_50 on theBenchmark 0.18/0.39 % (19776)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=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_2 on theBenchmark 0.18/0.39 % (19801)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=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 0.18/0.39 % (19799)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=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_300 on theBenchmark 0.18/0.39 % (19798)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=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_13 on theBenchmark 0.18/0.39 % (19797)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=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_130 on theBenchmark 0.18/0.39 % (19784)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=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_2 on theBenchmark 0.18/0.40 % (19792)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=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_8 on theBenchmark 0.18/0.40 % (19793)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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_41 on theBenchmark 0.18/0.40 % (19789)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=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_300 on theBenchmark 0.18/0.40 % (19791)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=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_6 on theBenchmark 0.18/0.40 % (19790)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=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_30 on theBenchmark 0.18/0.43 % (19794)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.18/0.46 % (19789)Refutation found. Thanks to Tanya! 0.18/0.46 % SZS status Theorem for theBenchmark 0.18/0.46 % SZS output start Proof for theBenchmark 0.18/0.46 tff(func_def_0, type, a: '$tType'). 0.18/0.46 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 0.18/0.46 tff(func_def_5, type, cP: (a -> '$o') -> '$o'). 0.18/0.46 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.18/0.46 tff(func_def_7, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.18/0.46 tff(func_def_10, type, sP0: a -> '$o'). 0.18/0.46 tff(func_def_11, type, sP1: (a -> '$o') -> (a -> '$o') -> '$o'). 0.18/0.46 tff(func_def_12, type, sP2: (a -> '$o') -> '$o'). 0.18/0.46 tff(func_def_14, type, sK4: a -> '$o'). 0.18/0.46 tff(func_def_15, type, sK5: a -> '$o'). 0.18/0.46 tff(func_def_16, type, sK6: (a -> '$o') -> a). 0.18/0.46 tff(func_def_17, type, sK7: (a -> '$o') -> (a -> '$o') -> a). 0.18/0.46 tff(func_def_18, type, sK8: a -> a -> '$o'). 0.18/0.46 tff(func_def_19, type, sK9: a -> '$o'). 0.18/0.46 tff(func_def_20, type, sK10: (a -> '$o') -> a). 0.18/0.46 tff(func_def_22, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.18/0.46 tff(func_def_23, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.18/0.46 tff(func_def_24, type, vAND: '$o' -> '$o' -> '$o'). 0.18/0.46 tff(func_def_25, type, vOR: '$o' -> '$o' -> '$o'). 0.18/0.46 tff(func_def_26, type, vIMP: '$o' -> '$o' -> '$o'). 0.18/0.46 tff(func_def_27, type, vNOT: '$o' -> '$o'). 0.18/0.46 tff(func_def_28, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.18/0.46 tff(func_def_29, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.18/0.46 tff(func_def_30, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.18/0.46 tff(func_def_31, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.18/0.46 tff(func_def_32, type, sK12: a). 0.18/0.46 tff(func_def_33, type, sK13: a). 0.18/0.46 tff(func_def_34, type, sK14: a). 0.18/0.48 tff(f1,conjecture,( 0.18/0.48 (! [X2 : a,X0 : a -> '$o',X3 : a -> '$o'] : ((cP @ X0 & cP @ X3 & X3 @ X2 & X0 @ X2) => X0 = X3) & ! [X0 : a -> '$o'] : (cP @ X0 => ? [X1 : a] : X0 @ X1)) => ? [X4 : a -> '$o'] : (! [X8 : a -> '$o'] : (cP @ X8 => ? [X2 : a] : X8 @ X2) & ! [X6 : a -> '$o',X7 : a -> '$o'] : ((cP @ X6 & ? [X2 : a] : (X7 @ X2 & X6 @ X2) & cP @ X7) => X6 = X7) & ! [X2 : a] : (X4 @ X2 <=> ? [X5 : a -> '$o'] : (cP @ X5 & X5 @ X2)))), 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM555_pme)). 0.18/0.48 tff(f2,negated_conjecture,( 0.18/0.48 ~((! [X2 : a,X0 : a -> '$o',X3 : a -> '$o'] : ((cP @ X0 & cP @ X3 & X3 @ X2 & X0 @ X2) => X0 = X3) & ! [X0 : a -> '$o'] : (cP @ X0 => ? [X1 : a] : X0 @ X1)) => ? [X4 : a -> '$o'] : (! [X8 : a -> '$o'] : (cP @ X8 => ? [X2 : a] : X8 @ X2) & ! [X6 : a -> '$o',X7 : a -> '$o'] : ((cP @ X6 & ? [X2 : a] : (X7 @ X2 & X6 @ X2) & cP @ X7) => X6 = X7) & ! [X2 : a] : (X4 @ X2 <=> ? [X5 : a -> '$o'] : (cP @ X5 & X5 @ X2))))), 0.18/0.48 inference(negated_conjecture,[],[f1])). 0.18/0.48 tff(f3,plain,( 0.18/0.48 ~((! [X0 : a,X1 : a -> '$o',X2 : a -> '$o'] : ((cP @ X1 & cP @ X2 & X2 @ X0 & X1 @ X0) => X1 = X2) & ! [X3 : a -> '$o'] : (cP @ X3 => ? [X4 : a] : X3 @ X4)) => ? [X5 : a -> '$o'] : (! [X6 : a -> '$o'] : (cP @ X6 => ? [X7 : a] : X6 @ X7) & ! [X8 : a -> '$o',X9 : a -> '$o'] : ((cP @ X8 & ? [X10 : a] : (X9 @ X10 & X8 @ X10) & cP @ X9) => X8 = X9) & ! [X11 : a] : (X5 @ X11 <=> ? [X12 : a -> '$o'] : (cP @ X12 & X12 @ X11))))), 0.18/0.48 inference(rectify,[],[f2])). 0.18/0.48 tff(f4,plain,( 0.18/0.48 ~((! [X0 : a,X1 : a -> '$o',X2 : a -> '$o'] : (((cP @ X1 = $true) & (cP @ X2 = $true) & (X2 @ X0 = $true) & (X1 @ X0 = $true)) => X1 = X2) & ! [X3 : a -> '$o'] : ((cP @ X3 = $true) => ? [X4 : a] : (X3 @ X4 = $true))) => ? [X5 : a -> '$o'] : (! [X6 : a -> '$o'] : ((cP @ X6 = $true) => ? [X7 : a] : (X6 @ X7 = $true)) & ! [X8 : a -> '$o',X9 : a -> '$o'] : (((cP @ X8 = $true) & ? [X10 : a] : ((X9 @ X10 = $true) & (X8 @ X10 = $true)) & (cP @ X9 = $true)) => X8 = X9) & ! [X11 : a] : ((X5 @ X11 = $true) <=> ? [X12 : a -> '$o'] : ((cP @ X12 = $true) & (X12 @ X11 = $true)))))), 0.18/0.48 inference(fool_elimination,[],[f3])). 0.18/0.48 tff(f5,plain,( 0.18/0.48 ! [X5 : a -> '$o'] : (? [X6 : a -> '$o'] : (! [X7 : a] : (X6 @ X7 != $true) & (cP @ X6 = $true)) | ? [X8 : a -> '$o',X9 : a -> '$o'] : (X8 != X9 & ((cP @ X8 = $true) & ? [X10 : a] : ((X9 @ X10 = $true) & (X8 @ X10 = $true)) & (cP @ X9 = $true))) | ? [X11 : a] : ((X5 @ X11 = $true) <~> ? [X12 : a -> '$o'] : ((cP @ X12 = $true) & (X12 @ X11 = $true)))) & (! [X0 : a,X1 : a -> '$o',X2 : a -> '$o'] : (X1 = X2 | ((cP @ X1 != $true) | (cP @ X2 != $true) | (X2 @ X0 != $true) | (X1 @ X0 != $true))) & ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) | (cP @ X3 != $true)))), 0.18/0.48 inference(ennf_transformation,[],[f4])). 0.18/0.48 tff(f6,plain,( 0.18/0.48 ! [X5 : a -> '$o'] : (? [X6 : a -> '$o'] : (! [X7 : a] : (X6 @ X7 != $true) & (cP @ X6 = $true)) | ? [X8 : a -> '$o',X9 : a -> '$o'] : (X8 != X9 & (cP @ X8 = $true) & ? [X10 : a] : ((X9 @ X10 = $true) & (X8 @ X10 = $true)) & (cP @ X9 = $true)) | ? [X11 : a] : ((X5 @ X11 = $true) <~> ? [X12 : a -> '$o'] : ((cP @ X12 = $true) & (X12 @ X11 = $true)))) & ! [X0 : a,X1 : a -> '$o',X2 : a -> '$o'] : (X1 = X2 | (cP @ X1 != $true) | (cP @ X2 != $true) | (X2 @ X0 != $true) | (X1 @ X0 != $true)) & ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) | (cP @ X3 != $true))), 0.18/0.48 inference(flattening,[],[f5])). 0.18/0.48 tff(f7,plain,( 0.18/0.48 ! [X11 : a] : ((sP0 @ X11 = $true) <=> ? [X12 : a -> '$o'] : ((cP @ X12 = $true) & (X12 @ X11 = $true)))), 0.18/0.48 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.18/0.48 tff(f8,plain,( 0.18/0.48 ! [X9 : a -> '$o',X8 : a -> '$o'] : (? [X10 : a] : ((X9 @ X10 = $true) & (X8 @ X10 = $true)) | ~(sP1 @ X8 @ X9 = $true))), 0.18/0.48 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.18/0.48 tff(f9,plain,( 0.18/0.48 ! [X5 : a -> '$o'] : (? [X11 : a] : ((X5 @ X11 = $true) <~> (sP0 @ X11 = $true)) | ~(sP2 @ X5 = $true))), 0.18/0.48 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.18/0.48 tff(f10,plain,( 0.18/0.48 ? [X8 : a -> '$o',X9 : a -> '$o'] : (X8 != X9 & (cP @ X8 = $true) & (sP1 @ X8 @ X9 = $true) & (cP @ X9 = $true)) | ~($true = sP3)), 0.18/0.48 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.18/0.48 tff(f11,plain,( 0.18/0.48 ! [X5 : a -> '$o'] : (? [X6 : a -> '$o'] : (! [X7 : a] : (X6 @ X7 != $true) & (cP @ X6 = $true)) | ($true = sP3) | (sP2 @ X5 = $true)) & ! [X0 : a,X1 : a -> '$o',X2 : a -> '$o'] : (X1 = X2 | (cP @ X1 != $true) | (cP @ X2 != $true) | (X2 @ X0 != $true) | (X1 @ X0 != $true)) & ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) | (cP @ X3 != $true))), 0.18/0.48 inference(definition_folding,[],[f6,f10,f9,f8,f7])). 0.18/0.48 tff(f12,plain,( 0.18/0.48 ? [X8 : a -> '$o',X9 : a -> '$o'] : (X8 != X9 & (cP @ X8 = $true) & (sP1 @ X8 @ X9 = $true) & (cP @ X9 = $true)) | ($true != sP3)), 0.18/0.48 inference(nnf_transformation,[],[f10])). 0.18/0.48 tff(f13,plain,( 0.18/0.48 ? [X0 : a -> '$o',X1 : a -> '$o'] : (X0 != X1 & (cP @ X0 = $true) & (sP1 @ X0 @ X1 = $true) & (cP @ X1 = $true)) | ($true != sP3)), 0.18/0.48 inference(rectify,[],[f12])). 0.18/0.48 tff(f14,plain,( 0.18/0.48 ? 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[X6 : a -> '$o'] : ((X6 @ (sK10 @ X6) = $true) | (cP @ X6 != $true))), 0.18/0.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f28,f30,f29])). 0.18/0.48 tff(f32,plain,( 0.18/0.48 (cP @ sK5 = $true) | ($true != sP3)), 0.18/0.48 inference(cnf_transformation,[],[f15])). 0.18/0.48 tff(f33,plain,( 0.18/0.48 (sP1 @ sK4 @ sK5 = $true) | ($true != sP3)), 0.18/0.48 inference(cnf_transformation,[],[f15])). 0.18/0.48 tff(f34,plain,( 0.18/0.48 (cP @ sK4 = $true) | ($true != sP3)), 0.18/0.48 inference(cnf_transformation,[],[f15])). 0.18/0.48 tff(f35,plain,( 0.18/0.48 sK4 != sK5 | ($true != sP3)), 0.18/0.48 inference(cnf_transformation,[],[f15])). 0.18/0.48 tff(f36,plain,( 0.18/0.48 ( ! [X0:a -> '$o'] : ((sP2 @ X0 != $true) | (X0 @ (sK6 @ X0) = $true) | (sP0 @ (sK6 @ X0) = $true)) )), 0.18/0.48 inference(cnf_transformation,[],[f19])). 0.18/0.48 tff(f37,plain,( 0.18/0.48 ( ! 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[X0:a -> '$o'] : (($false = $true) | (X0 @ (sK6 @ X0) = $true) | (sP0 @ (sK6 @ X0) = $true)) ) | ~spl11_4), 0.18/0.49 inference(backward_demodulation,[],[f72,f166])). 0.18/0.49 tff(f310,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : (($true != $true) | (sP0 @ (sK6 @ X0) != $true) | (X0 @ (sK6 @ X0) != $true)) ) | ~spl11_4), 0.18/0.49 inference(backward_demodulation,[],[f72,f37])). 0.18/0.49 tff(f311,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : ((sP0 @ (sK6 @ X0) != $true) | (X0 @ (sK6 @ X0) != $true)) ) | ~spl11_4), 0.18/0.49 inference(trivial_inequality_removal,[],[f310])). 0.18/0.49 tff(f313,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : ((sP0 @ (sK6 @ X0) = $true) | (X0 @ (sK6 @ X0) = $true)) ) | ~spl11_4), 0.18/0.49 inference(trivial_inequality_removal,[],[f308])). 0.18/0.49 tff(f315,plain,( 0.18/0.49 ($true != $true) | ($false = sP3) | ~spl11_1), 0.18/0.49 inference(fool_paramodulation,[],[f52])). 0.18/0.49 tff(f316,plain,( 0.18/0.49 ($false = sP3) | ~spl11_1), 0.18/0.49 inference(trivial_inequality_removal,[],[f315])). 0.18/0.49 tff(f318,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : (($false = $true) | (cP @ sK9 = $true) | (sP2 @ X0 = $true)) ) | ~spl11_1), 0.18/0.49 inference(backward_demodulation,[],[f316,f45])). 0.18/0.49 tff(f324,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : ((cP @ sK9 = $true) | (sP2 @ X0 = $true)) ) | ~spl11_1), 0.18/0.49 inference(trivial_inequality_removal,[],[f318])). 0.18/0.49 tff(f346,plain,( 0.18/0.49 ($true != $true) | (sP0 @ (sK6 @ sP0) = $true) | ~spl11_4), 0.18/0.49 inference(equality_factoring,[],[f313])). 0.18/0.49 tff(f347,plain,( 0.18/0.49 (sP0 @ (sK6 @ sP0) = $true) | ~spl11_4), 0.18/0.49 inference(trivial_inequality_removal,[],[f346])). 0.18/0.49 tff(f351,plain,( 0.18/0.49 $false | ~spl11_4), 0.18/0.49 inference(subsumption_resolution,[],[f347,f311])). 0.18/0.49 tff(f352,plain,( 0.18/0.49 ~spl11_4), 0.18/0.49 inference(avatar_contradiction_clause,[],[f351])). 0.18/0.49 tff(f354,plain,( 0.18/0.49 ($true != $true) | (cP @ sK9 = $false) | ~spl11_6), 0.18/0.49 inference(superposition,[],[f75,f94])). 0.18/0.49 tff(f355,plain,( 0.18/0.49 (cP @ sK9 = $false) | ~spl11_6), 0.18/0.49 inference(trivial_inequality_removal,[],[f354])). 0.18/0.49 tff(f359,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : (($false = $true) | (sP2 @ X0 = $true)) ) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(backward_demodulation,[],[f355,f324])). 0.18/0.49 tff(f360,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : ((sP2 @ X0 = $true)) ) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(trivial_inequality_removal,[],[f359])). 0.18/0.49 tff(f362,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : (($false = $true) | (X0 @ (sK6 @ X0) = $true) | (sP0 @ (sK6 @ X0) = $true)) ) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(backward_demodulation,[],[f360,f166])). 0.18/0.49 tff(f364,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : (($true != $true) | (sP0 @ (sK6 @ X0) != $true) | (X0 @ (sK6 @ X0) != $true)) ) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(backward_demodulation,[],[f360,f37])). 0.18/0.49 tff(f365,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : ((sP0 @ (sK6 @ X0) != $true) | (X0 @ (sK6 @ X0) != $true)) ) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(trivial_inequality_removal,[],[f364])). 0.18/0.49 tff(f367,plain,( 0.18/0.49 ( ! [X0:a -> '$o'] : ((sP0 @ (sK6 @ X0) = $true) | (X0 @ (sK6 @ X0) = $true)) ) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(trivial_inequality_removal,[],[f362])). 0.18/0.49 tff(f382,plain,( 0.18/0.49 ($true != $true) | (sP0 @ (sK6 @ sP0) = $true) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(equality_factoring,[],[f367])). 0.18/0.49 tff(f383,plain,( 0.18/0.49 (sP0 @ (sK6 @ sP0) = $true) | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(trivial_inequality_removal,[],[f382])). 0.18/0.49 tff(f387,plain,( 0.18/0.49 $false | (~spl11_1 | ~spl11_6)), 0.18/0.49 inference(subsumption_resolution,[],[f383,f365])). 0.18/0.49 tff(f388,plain,( 0.18/0.49 spl11_1 | ~spl11_6), 0.18/0.49 inference(avatar_contradiction_clause,[],[f387])). 0.18/0.49 tff(f389,plain,( 0.18/0.49 $false), 0.18/0.49 inference(avatar_sat_refutation,[],[f59,f76,f306,f352,f388])). 0.18/0.49 % SZS output end Proof for theBenchmark 0.18/0.49 % (19789)------------------------------ 0.18/0.49 % (19789)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.18/0.49 % (19789)Termination reason: Refutation 0.18/0.49 0.18/0.49 % (19789)Memory used [KB]: 5500 0.18/0.49 % (19789)Time elapsed: 0.110 s 0.18/0.49 % (19789)------------------------------ 0.18/0.49 % (19789)------------------------------ 0.18/0.49 % (19772)Success in time 0.149 s 0.18/0.49 EOF