0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Wed Jul 1 17:16:55 EDT 2020 0.13/0.34 % CPUTime : 0.13/0.38 % (22006)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 0.21/0.38 % (21999)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 0.21/0.39 % (22022)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 0.21/0.39 % (22001)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 0.21/0.39 % (22000)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 0.21/0.39 % (22002)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 0.21/0.39 % (22014)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 0.21/0.39 % (22003)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 0.21/0.39 % (22012)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 0.21/0.39 % (22021)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 0.21/0.40 % (22013)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 0.21/0.40 % (22023)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 0.21/0.41 % (22022)Refutation found. Thanks to Tanya! 0.21/0.41 % SZS status Theorem for theBenchmark 0.21/0.41 % (22026)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 0.21/0.41 % SZS output start Proof for theBenchmark 0.21/0.41 % (22027)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 0.21/0.41 tff(func_def_0, type, a: '$tType'). 0.21/0.41 % (22024)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.21/0.41 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 0.21/0.41 tff(func_def_5, type, cQ: a -> a -> '$o'). 0.21/0.41 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.21/0.41 tff(func_def_7, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.21/0.41 tff(func_def_11, type, sK1: a). 0.21/0.41 tff(func_def_12, type, sK2: a). 0.21/0.41 tff(func_def_13, type, sK3: a). 0.21/0.41 tff(func_def_14, type, sK4: a). 0.21/0.41 tff(func_def_15, type, sK5: a). 0.21/0.41 tff(func_def_16, type, sK6: a). 0.21/0.41 tff(func_def_17, type, sK7: a -> a -> '$o'). 0.21/0.41 tff(func_def_18, type, sK8: a -> a). 0.21/0.41 tff(func_def_20, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.41 tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.21/0.41 tff(func_def_22, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.41 tff(func_def_23, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.21/0.41 tff(func_def_24, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.21/0.41 tff(f1,conjecture,( 0.21/0.41 ! [X0 : a] : ? [X1 : a -> '$o'] : (? [X4 : a] : X1 @ X4 & ! [X2 : a] : (X1 @ X2 => ! [X3 : a] : (X1 @ X3 <=> cQ @ X2 @ X3)) & X1 @ X0) => (! [X0 : a,X3 : a,X4 : a] : ((cQ @ X0 @ X3 & cQ @ X3 @ X4) => cQ @ X0 @ X4) & ! [X0 : a,X3 : a] : (cQ @ X0 @ X3 => cQ @ X3 @ X0) & ! [X0 : a] : cQ @ X0 @ X0)), 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM559_pme)). 0.21/0.41 tff(f2,negated_conjecture,( 0.21/0.41 ~(! [X0 : a] : ? [X1 : a -> '$o'] : (? [X4 : a] : X1 @ X4 & ! [X2 : a] : (X1 @ X2 => ! [X3 : a] : (X1 @ X3 <=> cQ @ X2 @ X3)) & X1 @ X0) => (! [X0 : a,X3 : a,X4 : a] : ((cQ @ X0 @ X3 & cQ @ X3 @ X4) => cQ @ X0 @ X4) & ! [X0 : a,X3 : a] : (cQ @ X0 @ X3 => cQ @ X3 @ X0) & ! [X0 : a] : cQ @ X0 @ X0))), 0.21/0.41 inference(negated_conjecture,[],[f1])). 0.21/0.41 tff(f3,plain,( 0.21/0.41 ~(! [X0 : a] : ? [X1 : a -> '$o'] : (? [X2 : a] : X1 @ X2 & ! [X3 : a] : (X1 @ X3 => ! [X4 : a] : (X1 @ X4 <=> cQ @ X3 @ X4)) & X1 @ X0) => (! [X5 : a,X6 : a,X7 : a] : ((cQ @ X5 @ X6 & cQ @ X6 @ X7) => cQ @ X5 @ X7) & ! [X8 : a,X9 : a] : (cQ @ X8 @ X9 => cQ @ X9 @ X8) & ! [X10 : a] : cQ @ X10 @ X10))), 0.21/0.41 inference(rectify,[],[f2])). 0.21/0.41 tff(f4,plain,( 0.21/0.41 ~(! [X0 : a] : ? [X1 : a -> '$o'] : (? [X2 : a] : (X1 @ X2 = $true) & ! [X3 : a] : ((X1 @ X3 = $true) => ! [X4 : a] : (X1 @ X4 = cQ @ X3 @ X4)) & (X1 @ X0 = $true)) => (! [X5 : a,X6 : a,X7 : a] : (((cQ @ X5 @ X6 = $true) & (cQ @ X6 @ X7 = $true)) => (cQ @ X5 @ X7 = $true)) & ! [X8 : a,X9 : a] : ((cQ @ X8 @ X9 = $true) => (cQ @ X9 @ X8 = $true)) & ! [X10 : a] : (cQ @ X10 @ X10 = $true)))), 0.21/0.41 inference(fool_elimination,[],[f3])). 0.21/0.41 tff(f5,plain,( 0.21/0.41 (? [X5 : a,X6 : a,X7 : a] : ((cQ @ X5 @ X7 != $true) & ((cQ @ X5 @ X6 = $true) & (cQ @ X6 @ X7 = $true))) | ? [X8 : a,X9 : a] : ((cQ @ X9 @ X8 != $true) & (cQ @ X8 @ X9 = $true)) | ? [X10 : a] : (cQ @ X10 @ X10 != $true)) & ! [X0 : a] : ? [X1 : a -> '$o'] : (? [X2 : a] : (X1 @ X2 = $true) & ! [X3 : a] : (! [X4 : a] : (X1 @ X4 = cQ @ X3 @ X4) | (X1 @ X3 != $true)) & (X1 @ X0 = $true))), 0.21/0.41 inference(ennf_transformation,[],[f4])). 0.21/0.41 % (22004)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 0.21/0.41 tff(f6,plain,( 0.21/0.41 (? [X5 : a,X6 : a,X7 : a] : ((cQ @ X5 @ X7 != $true) & (cQ @ X5 @ X6 = $true) & (cQ @ X6 @ X7 = $true)) | ? [X8 : a,X9 : a] : ((cQ @ X9 @ X8 != $true) & (cQ @ X8 @ X9 = $true)) | ? [X10 : a] : (cQ @ X10 @ X10 != $true)) & ! [X0 : a] : ? [X1 : a -> '$o'] : (? [X2 : a] : (X1 @ X2 = $true) & ! [X3 : a] : (! [X4 : a] : (X1 @ X4 = cQ @ X3 @ X4) | (X1 @ X3 != $true)) & (X1 @ X0 = $true))), 0.21/0.41 inference(flattening,[],[f5])). 0.21/0.41 tff(f7,plain,( 0.21/0.41 ? [X5 : a,X6 : a,X7 : a] : ((cQ @ X5 @ X7 != $true) & (cQ @ X5 @ X6 = $true) & (cQ @ X6 @ X7 = $true)) | ~($true = sP0)), 0.21/0.41 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.41 tff(f8,plain,( 0.21/0.41 (($true = sP0) | ? [X8 : a,X9 : a] : ((cQ @ X9 @ X8 != $true) & (cQ @ X8 @ X9 = $true)) | ? [X10 : a] : (cQ @ X10 @ X10 != $true)) & ! [X0 : a] : ? [X1 : a -> '$o'] : (? [X2 : a] : (X1 @ X2 = $true) & ! [X3 : a] : (! [X4 : a] : (X1 @ X4 = cQ @ X3 @ X4) | (X1 @ X3 != $true)) & (X1 @ X0 = $true))), 0.21/0.41 inference(definition_folding,[],[f6,f7])). 0.21/0.41 tff(f9,plain,( 0.21/0.41 ? [X5 : a,X6 : a,X7 : a] : ((cQ @ X5 @ X7 != $true) & (cQ @ X5 @ X6 = $true) & (cQ @ X6 @ X7 = $true)) | ($true != sP0)), 0.21/0.41 inference(nnf_transformation,[],[f7])). 0.21/0.41 tff(f10,plain,( 0.21/0.41 ? [X0 : a,X1 : a,X2 : a] : ((cQ @ X0 @ X2 != $true) & (cQ @ X0 @ X1 = $true) & (cQ @ X1 @ X2 = $true)) | ($true != sP0)), 0.21/0.41 inference(rectify,[],[f9])). 0.21/0.41 tff(f11,plain,( 0.21/0.41 ? [X0 : a,X1 : a,X2 : a] : ((cQ @ X0 @ X2 != $true) & (cQ @ X0 @ X1 = $true) & (cQ @ X1 @ X2 = $true)) => ((cQ @ sK1 @ sK3 != $true) & (cQ @ sK1 @ sK2 = $true) & (cQ @ sK2 @ sK3 = $true))), 0.21/0.41 introduced(choice_axiom,[])). 0.21/0.41 tff(f12,plain,( 0.21/0.41 ((cQ @ sK1 @ sK3 != $true) & (cQ @ sK1 @ sK2 = $true) & (cQ @ sK2 @ sK3 = $true)) | ($true != sP0)), 0.21/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f10,f11])). 0.21/0.41 tff(f13,plain,( 0.21/0.41 (($true = sP0) | ? [X0 : a,X1 : a] : ((cQ @ X1 @ X0 != $true) & (cQ @ X0 @ X1 = $true)) | ? [X2 : a] : (cQ @ X2 @ X2 != $true)) & ! [X3 : a] : ? [X4 : a -> '$o'] : (? [X5 : a] : (X4 @ X5 = $true) & ! [X6 : a] : (! [X7 : a] : (X4 @ X7 = cQ @ X6 @ X7) | (X4 @ X6 != $true)) & (X4 @ X3 = $true))), 0.21/0.41 inference(rectify,[],[f8])). 0.21/0.41 tff(f14,plain,( 0.21/0.41 ? [X0 : a,X1 : a] : ((cQ @ X1 @ X0 != $true) & (cQ @ X0 @ X1 = $true)) => ((cQ @ sK5 @ sK4 != $true) & (cQ @ sK4 @ sK5 = $true))), 0.21/0.41 introduced(choice_axiom,[])). 0.21/0.41 tff(f15,plain,( 0.21/0.41 ? [X2 : a] : (cQ @ X2 @ X2 != $true) => (cQ @ sK6 @ sK6 != $true)), 0.21/0.41 introduced(choice_axiom,[])). 0.21/0.41 tff(f16,plain,( 0.21/0.41 ! [X3 : a] : (? [X4 : a -> '$o'] : (? [X5 : a] : (X4 @ X5 = $true) & ! [X6 : a] : (! [X7 : a] : (X4 @ X7 = cQ @ X6 @ X7) | (X4 @ X6 != $true)) & (X4 @ X3 = $true)) => (? [X5 : a] : (sK7 @ X3 @ X5 = $true) & ! [X6 : a] : (! [X7 : a] : (cQ @ X6 @ X7 = sK7 @ X3 @ X7) | (sK7 @ X3 @ X6 != $true)) & (sK7 @ X3 @ X3 = $true)))), 0.21/0.41 introduced(choice_axiom,[])). 0.21/0.41 tff(f17,plain,( 0.21/0.41 ! [X3 : a] : (? [X5 : a] : (sK7 @ X3 @ X5 = $true) => (sK7 @ X3 @ (sK8 @ X3) = $true))), 0.21/0.41 introduced(choice_axiom,[])). 0.21/0.41 tff(f18,plain,( 0.21/0.41 (($true = sP0) | ((cQ @ sK5 @ sK4 != $true) & (cQ @ sK4 @ sK5 = $true)) | (cQ @ sK6 @ sK6 != $true)) & ! [X3 : a] : ((sK7 @ X3 @ (sK8 @ X3) = $true) & ! [X6 : a] : (! [X7 : a] : (cQ @ X6 @ X7 = sK7 @ X3 @ X7) | (sK7 @ X3 @ X6 != $true)) & (sK7 @ X3 @ X3 = $true))), 0.21/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f13,f17,f16,f15,f14])). 0.21/0.41 tff(f19,plain,( 0.21/0.41 (cQ @ sK2 @ sK3 = $true) | ($true != sP0)), 0.21/0.41 inference(cnf_transformation,[],[f12])). 0.21/0.41 tff(f20,plain,( 0.21/0.41 (cQ @ sK1 @ sK2 = $true) | ($true != sP0)), 0.21/0.41 inference(cnf_transformation,[],[f12])). 0.21/0.41 tff(f21,plain,( 0.21/0.41 (cQ @ sK1 @ sK3 != $true) | ($true != sP0)), 0.21/0.41 inference(cnf_transformation,[],[f12])). 0.21/0.41 tff(f22,plain,( 0.21/0.41 ( ! [X3:a] : ((sK7 @ X3 @ X3 = $true)) )), 0.21/0.41 inference(cnf_transformation,[],[f18])). 0.21/0.41 tff(f23,plain,( 0.21/0.41 ( ! [X6:a,X7:a,X3:a] : ((cQ @ X6 @ X7 = sK7 @ X3 @ X7) | (sK7 @ X3 @ X6 != $true)) )), 0.21/0.41 inference(cnf_transformation,[],[f18])). 0.21/0.41 tff(f25,plain,( 0.21/0.41 ($true = sP0) | (cQ @ sK4 @ sK5 = $true) | (cQ @ sK6 @ sK6 != $true)), 0.21/0.41 inference(cnf_transformation,[],[f18])). 0.21/0.41 tff(f26,plain,( 0.21/0.41 ($true = sP0) | (cQ @ sK5 @ sK4 != $true) | (cQ @ sK6 @ sK6 != $true)), 0.21/0.41 inference(cnf_transformation,[],[f18])). 0.21/0.41 tff(f27,plain,( 0.21/0.41 ( ! [X6:a,X7:a,X3:a] : ((sK7 @ X3 @ X7 = $false) | (sK7 @ X3 @ X6 != $true) | (cQ @ X6 @ X7 = $true)) )), 0.21/0.41 inference(binary_proxy_clausification,[],[f23])). 0.21/0.41 tff(f28,plain,( 0.21/0.41 ( ! [X6:a,X7:a,X3:a] : ((sK7 @ X3 @ X7 = $true) | (sK7 @ X3 @ X6 != $true) | (cQ @ X6 @ X7 = $false)) )), 0.21/0.41 inference(binary_proxy_clausification,[],[f23])). 0.21/0.41 tff(f30,plain,( 0.21/0.41 spl9_0 <=> ($true = sP0)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_0])])). 0.21/0.41 tff(f33,plain,( 0.21/0.41 spl9_1 <=> ($true != sP0)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])). 0.21/0.41 tff(f39,plain,( 0.21/0.41 spl9_3 <=> (cQ @ sK1 @ sK3 != $true)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])). 0.21/0.41 tff(f40,plain,( 0.21/0.41 (cQ @ sK1 @ sK3 != $true) | ~spl9_3), 0.21/0.41 inference(avatar_component_clause,[],[f39])). 0.21/0.41 tff(f41,plain,( 0.21/0.41 ~spl9_1 | ~spl9_3), 0.21/0.41 inference(avatar_split_clause,[],[f21,f39,f33])). 0.21/0.41 tff(f46,plain,( 0.21/0.41 spl9_4 <=> (cQ @ sK1 @ sK2 = $true)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])). 0.21/0.41 tff(f47,plain,( 0.21/0.41 (cQ @ sK1 @ sK2 = $true) | ~spl9_4), 0.21/0.41 inference(avatar_component_clause,[],[f46])). 0.21/0.41 tff(f48,plain,( 0.21/0.41 ~spl9_1 | spl9_4), 0.21/0.41 inference(avatar_split_clause,[],[f20,f46,f33])). 0.21/0.41 tff(f53,plain,( 0.21/0.41 spl9_6 <=> (cQ @ sK2 @ sK3 = $true)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])). 0.21/0.41 tff(f54,plain,( 0.21/0.41 (cQ @ sK2 @ sK3 = $true) | ~spl9_6), 0.21/0.41 inference(avatar_component_clause,[],[f53])). 0.21/0.41 tff(f55,plain,( 0.21/0.41 ~spl9_1 | spl9_6), 0.21/0.41 inference(avatar_split_clause,[],[f19,f53,f33])). 0.21/0.41 tff(f60,plain,( 0.21/0.41 spl9_9 <=> (cQ @ sK6 @ sK6 != $true)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])). 0.21/0.41 tff(f61,plain,( 0.21/0.41 (cQ @ sK6 @ sK6 != $true) | ~spl9_9), 0.21/0.41 inference(avatar_component_clause,[],[f60])). 0.21/0.41 tff(f66,plain,( 0.21/0.41 spl9_11 <=> (cQ @ sK5 @ sK4 != $true)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])). 0.21/0.41 tff(f67,plain,( 0.21/0.41 (cQ @ sK5 @ sK4 != $true) | ~spl9_11), 0.21/0.41 inference(avatar_component_clause,[],[f66])). 0.21/0.41 tff(f68,plain,( 0.21/0.41 ~spl9_9 | ~spl9_11 | spl9_0), 0.21/0.41 inference(avatar_split_clause,[],[f26,f30,f66,f60])). 0.21/0.41 tff(f73,plain,( 0.21/0.41 spl9_12 <=> (cQ @ sK4 @ sK5 = $true)), 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl9_12])])). 0.21/0.41 tff(f74,plain,( 0.21/0.41 (cQ @ sK4 @ sK5 = $true) | ~spl9_12), 0.21/0.41 inference(avatar_component_clause,[],[f73])). 0.21/0.41 tff(f75,plain,( 0.21/0.41 ~spl9_9 | spl9_12 | spl9_0), 0.21/0.41 inference(avatar_split_clause,[],[f25,f30,f73,f60])). 0.21/0.41 tff(f80,plain,( 0.21/0.41 ($true != $true) | (cQ @ sK6 @ sK6 = $false) | ~spl9_9), 0.21/0.41 inference(fool_paramodulation,[],[f61])). 0.21/0.41 tff(f81,plain,( 0.21/0.41 (cQ @ sK6 @ sK6 = $false) | ~spl9_9), 0.21/0.41 inference(trivial_inequality_removal,[],[f80])). 0.21/0.41 tff(f84,plain,( 0.21/0.41 ( ! [X0:a,X1:a] : (($false = $true) | (sK7 @ X0 @ X1 != $true) | (cQ @ X1 @ X0 = $true)) )), 0.21/0.41 inference(superposition,[],[f27,f22])). 0.21/0.41 tff(f91,plain,( 0.21/0.41 ( ! [X0:a,X1:a] : ((cQ @ X1 @ X0 = $true) | (sK7 @ X0 @ X1 != $true)) )), 0.21/0.41 inference(trivial_inequality_removal,[],[f84])). 0.21/0.41 tff(f93,plain,( 0.21/0.41 ($false = $true) | (sK7 @ sK6 @ sK6 != $true) | ~spl9_9), 0.21/0.41 inference(superposition,[],[f91,f81])). 0.21/0.41 tff(f96,plain,( 0.21/0.41 (sK7 @ sK6 @ sK6 != $true) | ~spl9_9), 0.21/0.41 inference(trivial_inequality_removal,[],[f93])). 0.21/0.41 tff(f98,plain,( 0.21/0.41 ( ! [X6:a,X4:a,X7:a,X5:a] : (($false = $true) | (sK7 @ X4 @ X6 != $true) | (cQ @ X6 @ X5 = $false) | (sK7 @ X4 @ X7 != $true) | (cQ @ X7 @ X5 = $true)) )), 0.21/0.41 inference(superposition,[],[f28,f27])). 0.21/0.41 tff(f101,plain,( 0.21/0.41 ( ! [X6:a,X4:a,X7:a,X5:a] : ((cQ @ X7 @ X5 = $true) | (cQ @ X6 @ X5 = $false) | (sK7 @ X4 @ X7 != $true) | (sK7 @ X4 @ X6 != $true)) )), 0.21/0.41 inference(trivial_inequality_removal,[],[f98])). 0.21/0.41 tff(f103,plain,( 0.21/0.41 ($true != $true) | ~spl9_9), 0.21/0.41 inference(superposition,[],[f96,f22])). 0.21/0.41 tff(f107,plain,( 0.21/0.41 $false | ~spl9_9), 0.21/0.41 inference(trivial_inequality_removal,[],[f103])). 0.21/0.41 tff(f108,plain,( 0.21/0.41 spl9_9), 0.21/0.41 inference(avatar_contradiction_clause,[],[f107])). 0.21/0.41 tff(f112,plain,( 0.21/0.41 ($true != $true) | (sK7 @ sK4 @ sK5 != $true) | ~spl9_11), 0.21/0.41 inference(superposition,[],[f67,f91])). 0.21/0.41 tff(f113,plain,( 0.21/0.41 (sK7 @ sK4 @ sK5 != $true) | ~spl9_11), 0.21/0.41 inference(trivial_inequality_removal,[],[f112])). 0.21/0.41 tff(f123,plain,( 0.21/0.41 ( ! [X0:a] : (($true != $true) | (sK7 @ sK4 @ X0 != $true) | (cQ @ X0 @ sK5 = $false)) ) | ~spl9_11), 0.21/0.41 inference(superposition,[],[f113,f28])). 0.21/0.41 tff(f125,plain,( 0.21/0.41 ( ! [X0:a] : ((cQ @ X0 @ sK5 = $false) | (sK7 @ sK4 @ X0 != $true)) ) | ~spl9_11), 0.21/0.41 inference(trivial_inequality_removal,[],[f123])). 0.21/0.41 tff(f147,plain,( 0.21/0.41 ($false = $true) | (sK7 @ sK4 @ sK4 != $true) | (~spl9_11 | ~spl9_12)), 0.21/0.41 inference(superposition,[],[f125,f74])). 0.21/0.41 tff(f158,plain,( 0.21/0.41 (sK7 @ sK4 @ sK4 != $true) | (~spl9_11 | ~spl9_12)), 0.21/0.41 inference(trivial_inequality_removal,[],[f147])). 0.21/0.41 tff(f171,plain,( 0.21/0.41 ($true != $true) | (~spl9_11 | ~spl9_12)), 0.21/0.41 inference(superposition,[],[f158,f22])). 0.21/0.41 tff(f175,plain,( 0.21/0.41 $false | (~spl9_11 | ~spl9_12)), 0.21/0.41 inference(trivial_inequality_removal,[],[f171])). 0.21/0.41 tff(f176,plain,( 0.21/0.41 spl9_11 | ~spl9_12), 0.21/0.41 inference(avatar_contradiction_clause,[],[f175])). 0.21/0.41 tff(f190,plain,( 0.21/0.41 ( ! [X0:a,X1:a] : (($true != $true) | (cQ @ X0 @ sK3 = $false) | (sK7 @ X1 @ sK1 != $true) | (sK7 @ X1 @ X0 != $true)) ) | ~spl9_3), 0.21/0.41 inference(superposition,[],[f40,f101])). 0.21/0.41 tff(f193,plain,( 0.21/0.41 ( ! [X0:a,X1:a] : ((cQ @ X0 @ sK3 = $false) | (sK7 @ X1 @ sK1 != $true) | (sK7 @ X1 @ X0 != $true)) ) | ~spl9_3), 0.21/0.41 inference(trivial_inequality_removal,[],[f190])). 0.21/0.41 tff(f218,plain,( 0.21/0.41 ( ! [X0:a] : (($false = $true) | (sK7 @ X0 @ sK1 != $true) | (sK7 @ X0 @ sK2 != $true)) ) | (~spl9_3 | ~spl9_6)), 0.21/0.41 inference(superposition,[],[f193,f54])). 0.21/0.41 tff(f229,plain,( 0.21/0.41 ( ! [X0:a] : ((sK7 @ X0 @ sK2 != $true) | (sK7 @ X0 @ sK1 != $true)) ) | (~spl9_3 | ~spl9_6)), 0.21/0.41 inference(trivial_inequality_removal,[],[f218])). 0.21/0.41 tff(f240,plain,( 0.21/0.41 ( ! [X0:a,X1:a] : (($true != $true) | (sK7 @ X0 @ sK1 != $true) | (sK7 @ X0 @ X1 != $true) | (cQ @ X1 @ sK2 = $false)) ) | (~spl9_3 | ~spl9_6)), 0.21/0.41 inference(superposition,[],[f229,f28])). 0.21/0.41 tff(f242,plain,( 0.21/0.41 ( ! [X0:a,X1:a] : ((cQ @ X1 @ sK2 = $false) | (sK7 @ X0 @ X1 != $true) | (sK7 @ X0 @ sK1 != $true)) ) | (~spl9_3 | ~spl9_6)), 0.21/0.41 inference(trivial_inequality_removal,[],[f240])). 0.21/0.41 tff(f337,plain,( 0.21/0.41 ( ! [X0:a] : (($false = $true) | (sK7 @ X0 @ sK1 != $true) | (sK7 @ X0 @ sK1 != $true)) ) | (~spl9_3 | ~spl9_4 | ~spl9_6)), 0.21/0.41 inference(superposition,[],[f242,f47])). 0.21/0.41 tff(f349,plain,( 0.21/0.41 ( ! [X0:a] : (($false = $true) | (sK7 @ X0 @ sK1 != $true)) ) | (~spl9_3 | ~spl9_4 | ~spl9_6)), 0.21/0.41 inference(duplicate_literal_removal,[],[f337])). 0.21/0.41 tff(f350,plain,( 0.21/0.41 ( ! [X0:a] : ((sK7 @ X0 @ sK1 != $true)) ) | (~spl9_3 | ~spl9_4 | ~spl9_6)), 0.21/0.41 inference(trivial_inequality_removal,[],[f349])). 0.21/0.41 tff(f352,plain,( 0.21/0.41 ($true != $true) | (~spl9_3 | ~spl9_4 | ~spl9_6)), 0.21/0.41 inference(superposition,[],[f350,f22])). 0.21/0.41 tff(f358,plain,( 0.21/0.41 $false | (~spl9_3 | ~spl9_4 | ~spl9_6)), 0.21/0.41 inference(trivial_inequality_removal,[],[f352])). 0.21/0.41 tff(f359,plain,( 0.21/0.41 spl9_3 | ~spl9_4 | ~spl9_6), 0.21/0.41 inference(avatar_contradiction_clause,[],[f358])). 0.21/0.41 tff(f361,plain,( 0.21/0.41 $false), 0.21/0.41 inference(avatar_sat_refutation,[],[f41,f48,f55,f68,f75,f108,f176,f359])). 0.21/0.41 % SZS output end Proof for theBenchmark 0.21/0.41 % (22022)------------------------------ 0.21/0.41 % (22022)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.21/0.41 % (22022)Termination reason: Refutation 0.21/0.41 0.21/0.41 % (22022)Memory used [KB]: 9850 0.21/0.41 % (22022)Time elapsed: 0.051 s 0.21/0.41 % (22022)------------------------------ 0.21/0.41 % (22022)------------------------------ 0.21/0.41 % (21998)Success in time 0.063 s 0.21/0.41 % (22025)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 0.21/0.41 EOF