0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.10 % Command : run_vampire %s %d 0.10/0.31 % Computer : n011.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Thu Jul 2 06:37:46 EDT 2020 0.10/0.31 % CPUTime : 0.15/0.34 % (27885)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 0.15/0.34 % (27887)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 0.15/0.34 % (27884)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 0.15/0.35 % (27886)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 0.15/0.35 % (27891)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 0.15/0.35 % (27890)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 0.15/0.36 % (27909)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 0.15/0.36 % (27908)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 0.15/0.36 % (27912)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 0.15/0.36 % (27911)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 0.15/0.36 % (27889)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 0.15/0.36 % (27888)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 0.15/0.36 % (27913)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 0.15/0.36 % (27910)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 0.15/0.36 % (27900)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 0.15/0.36 % (27907)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 0.15/0.36 % (27885)Refutation found. Thanks to Tanya! 0.15/0.36 % SZS status Theorem for theBenchmark 0.15/0.36 % SZS output start Proof for theBenchmark 0.15/0.36 tff(func_def_0, type, a: '$tType'). 0.15/0.36 tff(func_def_2, type, b: '$tType'). 0.15/0.36 tff(func_def_5, type, cN: a). 0.15/0.36 tff(func_def_6, type, ->: ('$tType' * '$tType') > '$tType'). 0.15/0.36 tff(func_def_7, type, cP: a -> a -> a -> a -> b -> '$o'). 0.15/0.36 tff(func_def_8, type, cD: b -> b). 0.15/0.36 tff(func_def_9, type, cS: a). 0.15/0.36 tff(func_def_10, type, cG: b -> b). 0.15/0.36 tff(func_def_11, type, cW: b -> b). 0.15/0.36 tff(func_def_12, type, cL: b -> b). 0.15/0.36 tff(func_def_13, type, cO: b). 0.15/0.36 tff(func_def_14, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.15/0.36 tff(func_def_15, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.15/0.36 tff(func_def_19, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.15/0.36 tff(func_def_20, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.15/0.36 tff(func_def_21, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.15/0.36 tff(func_def_22, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.15/0.36 tff(func_def_23, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.15/0.36 tff(f1,conjecture,( 0.15/0.36 (cP @ cS @ cS @ cS @ cS @ cO & ! [X18 : b] : (cP @ cS @ cN @ cS @ cN @ X18 => cP @ cN @ cN @ cS @ cN @ (cL @ X18)) & ! [X17 : b] : (cP @ cS @ cS @ cN @ cS @ X17 => cP @ cN @ cS @ cN @ cS @ (cL @ X17)) & ! [X16 : b] : (cP @ cN @ cS @ cN @ cS @ X16 => cP @ cS @ cS @ cN @ cS @ (cL @ X16)) & ! [X15 : b] : (cP @ cN @ cN @ cS @ cN @ X15 => cP @ cS @ cS @ cS @ cN @ (cW @ X15)) & ! [X14 : b] : (cP @ cS @ cS @ cN @ cS @ X14 => cP @ cN @ cN @ cN @ cS @ (cW @ X14)) & ! [X13 : b] : (cP @ cN @ cN @ cN @ cS @ X13 => cP @ cS @ cS @ cN @ cS @ (cW @ X13)) & ! [X10 : a,X11 : a,X12 : b] : (cP @ cN @ X10 @ cN @ X11 @ X12 => cP @ cS @ X10 @ cS @ X11 @ (cG @ X12)) & ! [X9 : b] : (cP @ cS @ cS @ cN @ cS @ X9 => cP @ cN @ cS @ cN @ cN @ (cD @ X9)) & ! [X8 : b] : (cP @ cN @ cS @ cN @ cN @ X8 => cP @ cS @ cS @ cN @ cS @ (cD @ X8)) & ! [X7 : b] : (cP @ cN @ cN @ cS @ cN @ X7 => cP @ cS @ cN @ cS @ cS @ (cD @ X7)) & ! [X6 : b] : (cP @ cS @ cN @ cS @ cS @ X6 => cP @ cN @ cN @ cS @ cN @ (cD @ X6)) & ! [X3 : a,X4 : a,X5 : b] : (cP @ cS @ X3 @ cS @ X4 @ X5 => cP @ cN @ X3 @ cN @ X4 @ (cG @ X5)) & ! [X2 : b] : (cP @ cS @ cS @ cS @ cN @ X2 => cP @ cN @ cN @ cS @ cN @ (cW @ X2)) & ! [X1 : b] : (cP @ cN @ cN @ cS @ cN @ X1 => cP @ cS @ cN @ cS @ cN @ (cL @ X1))) => ? [X0 : b] : cP @ cN @ cN @ cN @ cN @ X0), 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM100A)). 0.15/0.36 tff(f2,negated_conjecture,( 0.15/0.36 ~((cP @ cS @ cS @ cS @ cS @ cO & ! [X18 : b] : (cP @ cS @ cN @ cS @ cN @ X18 => cP @ cN @ cN @ cS @ cN @ (cL @ X18)) & ! [X17 : b] : (cP @ cS @ cS @ cN @ cS @ X17 => cP @ cN @ cS @ cN @ cS @ (cL @ X17)) & ! [X16 : b] : (cP @ cN @ cS @ cN @ cS @ X16 => cP @ cS @ cS @ cN @ cS @ (cL @ X16)) & ! [X15 : b] : (cP @ cN @ cN @ cS @ cN @ X15 => cP @ cS @ cS @ cS @ cN @ (cW @ X15)) & ! [X14 : b] : (cP @ cS @ cS @ cN @ cS @ X14 => cP @ cN @ cN @ cN @ cS @ (cW @ X14)) & ! [X13 : b] : (cP @ cN @ cN @ cN @ cS @ X13 => cP @ cS @ cS @ cN @ cS @ (cW @ X13)) & ! [X10 : a,X11 : a,X12 : b] : (cP @ cN @ X10 @ cN @ X11 @ X12 => cP @ cS @ X10 @ cS @ X11 @ (cG @ X12)) & ! [X9 : b] : (cP @ cS @ cS @ cN @ cS @ X9 => cP @ cN @ cS @ cN @ cN @ (cD @ X9)) & ! [X8 : b] : (cP @ cN @ cS @ cN @ cN @ X8 => cP @ cS @ cS @ cN @ cS @ (cD @ X8)) & ! [X7 : b] : (cP @ cN @ cN @ cS @ cN @ X7 => cP @ cS @ cN @ cS @ cS @ (cD @ X7)) & ! [X6 : b] : (cP @ cS @ cN @ cS @ cS @ X6 => cP @ cN @ cN @ cS @ cN @ (cD @ X6)) & ! [X3 : a,X4 : a,X5 : b] : (cP @ cS @ X3 @ cS @ X4 @ X5 => cP @ cN @ X3 @ cN @ X4 @ (cG @ X5)) & ! [X2 : b] : (cP @ cS @ cS @ cS @ cN @ X2 => cP @ cN @ cN @ cS @ cN @ (cW @ X2)) & ! [X1 : b] : (cP @ cN @ cN @ cS @ cN @ X1 => cP @ cS @ cN @ cS @ cN @ (cL @ X1))) => ? [X0 : b] : cP @ cN @ cN @ cN @ cN @ X0)), 0.15/0.36 inference(negated_conjecture,[],[f1])). 0.15/0.36 tff(f3,plain,( 0.15/0.36 ~((cP @ cS @ cS @ cS @ cS @ cO & ! [X0 : b] : (cP @ cS @ cN @ cS @ cN @ X0 => cP @ cN @ cN @ cS @ cN @ (cL @ X0)) & ! [X1 : b] : (cP @ cS @ cS @ cN @ cS @ X1 => cP @ cN @ cS @ cN @ cS @ (cL @ X1)) & ! [X2 : b] : (cP @ cN @ cS @ cN @ cS @ X2 => cP @ cS @ cS @ cN @ cS @ (cL @ X2)) & ! [X3 : b] : (cP @ cN @ cN @ cS @ cN @ X3 => cP @ cS @ cS @ cS @ cN @ (cW @ X3)) & ! [X4 : b] : (cP @ cS @ cS @ cN @ cS @ X4 => cP @ cN @ cN @ cN @ cS @ (cW @ X4)) & ! [X5 : b] : (cP @ cN @ cN @ cN @ cS @ X5 => cP @ cS @ cS @ cN @ cS @ (cW @ X5)) & ! [X6 : a,X7 : a,X8 : b] : (cP @ cN @ X6 @ cN @ X7 @ X8 => cP @ cS @ X6 @ cS @ X7 @ (cG @ X8)) & ! [X9 : b] : (cP @ cS @ cS @ cN @ cS @ X9 => cP @ cN @ cS @ cN @ cN @ (cD @ X9)) & ! [X10 : b] : (cP @ cN @ cS @ cN @ cN @ X10 => cP @ cS @ cS @ cN @ cS @ (cD @ X10)) & ! [X11 : b] : (cP @ cN @ cN @ cS @ cN @ X11 => cP @ cS @ cN @ cS @ cS @ (cD @ X11)) & ! [X12 : b] : (cP @ cS @ cN @ cS @ cS @ X12 => cP @ cN @ cN @ cS @ cN @ (cD @ X12)) & ! [X13 : a,X14 : a,X15 : b] : (cP @ cS @ X13 @ cS @ X14 @ X15 => cP @ cN @ X13 @ cN @ X14 @ (cG @ X15)) & ! [X16 : b] : (cP @ cS @ cS @ cS @ cN @ X16 => cP @ cN @ cN @ cS @ cN @ (cW @ X16)) & ! [X17 : b] : (cP @ cN @ cN @ cS @ cN @ X17 => cP @ cS @ cN @ cS @ cN @ (cL @ X17))) => ? [X18 : b] : cP @ cN @ cN @ cN @ cN @ X18)), 0.15/0.36 inference(rectify,[],[f2])). 0.15/0.36 tff(f4,plain,( 0.15/0.36 ~(((cP @ cS @ cS @ cS @ cS @ cO = $true) & ! [X0 : b] : ((cP @ cS @ cN @ cS @ cN @ X0 = $true) => (cP @ cN @ cN @ cS @ cN @ (cL @ X0) = $true)) & ! [X1 : b] : ((cP @ cS @ cS @ cN @ cS @ X1 = $true) => (cP @ cN @ cS @ cN @ cS @ (cL @ X1) = $true)) & ! [X2 : b] : ((cP @ cN @ cS @ cN @ cS @ X2 = $true) => (cP @ cS @ cS @ cN @ cS @ (cL @ X2) = $true)) & ! [X3 : b] : ((cP @ cN @ cN @ cS @ cN @ X3 = $true) => (cP @ cS @ cS @ cS @ cN @ (cW @ X3) = $true)) & ! [X4 : b] : ((cP @ cS @ cS @ cN @ cS @ X4 = $true) => (cP @ cN @ cN @ cN @ cS @ (cW @ X4) = $true)) & ! [X5 : b] : ((cP @ cN @ cN @ cN @ cS @ X5 = $true) => (cP @ cS @ cS @ cN @ cS @ (cW @ X5) = $true)) & ! [X6 : a,X7 : a,X8 : b] : ((cP @ cN @ X6 @ cN @ X7 @ X8 = $true) => (cP @ cS @ X6 @ cS @ X7 @ (cG @ X8) = $true)) & ! [X9 : b] : ((cP @ cS @ cS @ cN @ cS @ X9 = $true) => (cP @ cN @ cS @ cN @ cN @ (cD @ X9) = $true)) & ! [X10 : b] : ((cP @ cN @ cS @ cN @ cN @ X10 = $true) => (cP @ cS @ cS @ cN @ cS @ (cD @ X10) = $true)) & ! [X11 : b] : ((cP @ cN @ cN @ cS @ cN @ X11 = $true) => (cP @ cS @ cN @ cS @ cS @ (cD @ X11) = $true)) & ! [X12 : b] : ((cP @ cS @ cN @ cS @ cS @ X12 = $true) => (cP @ cN @ cN @ cS @ cN @ (cD @ X12) = $true)) & ! [X13 : a,X14 : a,X15 : b] : ((cP @ cS @ X13 @ cS @ X14 @ X15 = $true) => (cP @ cN @ X13 @ cN @ X14 @ (cG @ X15) = $true)) & ! [X16 : b] : ((cP @ cS @ cS @ cS @ cN @ X16 = $true) => (cP @ cN @ cN @ cS @ cN @ (cW @ X16) = $true)) & ! [X17 : b] : ((cP @ cN @ cN @ cS @ cN @ X17 = $true) => (cP @ cS @ cN @ cS @ cN @ (cL @ X17) = $true))) => ? [X18 : b] : (cP @ cN @ cN @ cN @ cN @ X18 = $true))), 0.15/0.36 inference(fool_elimination,[],[f3])). 0.15/0.36 % (27906)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 0.15/0.37 % (27905)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 0.15/0.37 % (27899)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 0.15/0.37 % (27901)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 0.15/0.37 % (27892)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 0.15/0.37 % (27904)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 0.15/0.37 % (27903)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 0.15/0.38 tff(f5,plain,( 0.15/0.38 ! [X18 : b] : (cP @ cN @ cN @ cN @ cN @ X18 != $true) & ((cP @ cS @ cS @ cS @ cS @ cO = $true) & ! [X0 : b] : ((cP @ cN @ cN @ cS @ cN @ (cL @ X0) = $true) | (cP @ cS @ cN @ cS @ cN @ X0 != $true)) & ! [X1 : b] : ((cP @ cN @ cS @ cN @ cS @ (cL @ X1) = $true) | (cP @ cS @ cS @ cN @ cS @ X1 != $true)) & ! [X2 : b] : ((cP @ cS @ cS @ cN @ cS @ (cL @ X2) = $true) | (cP @ cN @ cS @ cN @ cS @ X2 != $true)) & ! [X3 : b] : ((cP @ cS @ cS @ cS @ cN @ (cW @ X3) = $true) | (cP @ cN @ cN @ cS @ cN @ X3 != $true)) & ! [X4 : b] : ((cP @ cN @ cN @ cN @ cS @ (cW @ X4) = $true) | (cP @ cS @ cS @ cN @ cS @ X4 != $true)) & ! [X5 : b] : ((cP @ cS @ cS @ cN @ cS @ (cW @ X5) = $true) | (cP @ cN @ cN @ cN @ cS @ X5 != $true)) & ! [X6 : a,X7 : a,X8 : b] : ((cP @ cS @ X6 @ cS @ X7 @ (cG @ X8) = $true) | (cP @ cN @ X6 @ cN @ X7 @ X8 != $true)) & ! [X9 : b] : ((cP @ cN @ cS @ cN @ cN @ (cD @ X9) = $true) | (cP @ cS @ cS @ cN @ cS @ X9 != $true)) & ! [X10 : b] : ((cP @ cS @ cS @ cN @ cS @ (cD @ X10) = $true) | (cP @ cN @ cS @ cN @ cN @ X10 != $true)) & ! [X11 : b] : ((cP @ cS @ cN @ cS @ cS @ (cD @ X11) = $true) | (cP @ cN @ cN @ cS @ cN @ X11 != $true)) & ! [X12 : b] : ((cP @ cN @ cN @ cS @ cN @ (cD @ X12) = $true) | (cP @ cS @ cN @ cS @ cS @ X12 != $true)) & ! [X13 : a,X14 : a,X15 : b] : ((cP @ cN @ X13 @ cN @ X14 @ (cG @ X15) = $true) | (cP @ cS @ X13 @ cS @ X14 @ X15 != $true)) & ! [X16 : b] : ((cP @ cN @ cN @ cS @ cN @ (cW @ X16) = $true) | (cP @ cS @ cS @ cS @ cN @ X16 != $true)) & ! [X17 : b] : ((cP @ cS @ cN @ cS @ cN @ (cL @ X17) = $true) | (cP @ cN @ cN @ cS @ cN @ X17 != $true)))), 0.15/0.38 inference(ennf_transformation,[],[f4])). 0.15/0.38 tff(f6,plain,( 0.15/0.38 ! [X18 : b] : (cP @ cN @ cN @ cN @ cN @ X18 != $true) & (cP @ cS @ cS @ cS @ cS @ cO = $true) & ! [X0 : b] : ((cP @ cN @ cN @ cS @ cN @ (cL @ X0) = $true) | (cP @ cS @ cN @ cS @ cN @ X0 != $true)) & ! [X1 : b] : ((cP @ cN @ cS @ cN @ cS @ (cL @ X1) = $true) | (cP @ cS @ cS @ cN @ cS @ X1 != $true)) & ! [X2 : b] : ((cP @ cS @ cS @ cN @ cS @ (cL @ X2) = $true) | (cP @ cN @ cS @ cN @ cS @ X2 != $true)) & ! [X3 : b] : ((cP @ cS @ cS @ cS @ cN @ (cW @ X3) = $true) | (cP @ cN @ cN @ cS @ cN @ X3 != $true)) & ! [X4 : b] : ((cP @ cN @ cN @ cN @ cS @ (cW @ X4) = $true) | (cP @ cS @ cS @ cN @ cS @ X4 != $true)) & ! [X5 : b] : ((cP @ cS @ cS @ cN @ cS @ (cW @ X5) = $true) | (cP @ cN @ cN @ cN @ cS @ X5 != $true)) & ! [X6 : a,X7 : a,X8 : b] : ((cP @ cS @ X6 @ cS @ X7 @ (cG @ X8) = $true) | (cP @ cN @ X6 @ cN @ X7 @ X8 != $true)) & ! [X9 : b] : ((cP @ cN @ cS @ cN @ cN @ (cD @ X9) = $true) | (cP @ cS @ cS @ cN @ cS @ X9 != $true)) & ! [X10 : b] : ((cP @ cS @ cS @ cN @ cS @ (cD @ X10) = $true) | (cP @ cN @ cS @ cN @ cN @ X10 != $true)) & ! [X11 : b] : ((cP @ cS @ cN @ cS @ cS @ (cD @ X11) = $true) | (cP @ cN @ cN @ cS @ cN @ X11 != $true)) & ! [X12 : b] : ((cP @ cN @ cN @ cS @ cN @ (cD @ X12) = $true) | (cP @ cS @ cN @ cS @ cS @ X12 != $true)) & ! [X13 : a,X14 : a,X15 : b] : ((cP @ cN @ X13 @ cN @ X14 @ (cG @ X15) = $true) | (cP @ cS @ X13 @ cS @ X14 @ X15 != $true)) & ! [X16 : b] : ((cP @ cN @ cN @ cS @ cN @ (cW @ X16) = $true) | (cP @ cS @ cS @ cS @ cN @ X16 != $true)) & ! [X17 : b] : ((cP @ cS @ cN @ cS @ cN @ (cL @ X17) = $true) | (cP @ cN @ cN @ cS @ cN @ X17 != $true))), 0.15/0.38 inference(flattening,[],[f5])). 0.15/0.38 tff(f7,plain,( 0.15/0.38 ! [X0 : b] : (cP @ cN @ cN @ cN @ cN @ X0 != $true) & (cP @ cS @ cS @ cS @ cS @ cO = $true) & ! [X1 : b] : ((cP @ cN @ cN @ cS @ cN @ (cL @ X1) = $true) | (cP @ cS @ cN @ cS @ cN @ X1 != $true)) & ! [X2 : b] : ((cP @ cN @ cS @ cN @ cS @ (cL @ X2) = $true) | (cP @ cS @ cS @ cN @ cS @ X2 != $true)) & ! [X3 : b] : ((cP @ cS @ cS @ cN @ cS @ (cL @ X3) = $true) | (cP @ cN @ cS @ cN @ cS @ X3 != $true)) & ! [X4 : b] : ((cP @ cS @ cS @ cS @ cN @ (cW @ X4) = $true) | (cP @ cN @ cN @ cS @ cN @ X4 != $true)) & ! [X5 : b] : ((cP @ cN @ cN @ cN @ cS @ (cW @ X5) = $true) | (cP @ cS @ cS @ cN @ cS @ X5 != $true)) & ! [X6 : b] : ((cP @ cS @ cS @ cN @ cS @ (cW @ X6) = $true) | (cP @ cN @ cN @ cN @ cS @ X6 != $true)) & ! [X7 : a,X8 : a,X9 : b] : ((cP @ cS @ X7 @ cS @ X8 @ (cG @ X9) = $true) | (cP @ cN @ X7 @ cN @ X8 @ X9 != $true)) & ! [X10 : b] : ((cP @ cN @ cS @ cN @ cN @ (cD @ X10) = $true) | (cP @ cS @ cS @ cN @ cS @ X10 != $true)) & ! [X11 : b] : ((cP @ cS @ cS @ cN @ cS @ (cD @ X11) = $true) | (cP @ cN @ cS @ cN @ cN @ X11 != $true)) & ! [X12 : b] : ((cP @ cS @ cN @ cS @ cS @ (cD @ X12) = $true) | (cP @ cN @ cN @ cS @ cN @ X12 != $true)) & ! [X13 : b] : ((cP @ cN @ cN @ cS @ cN @ (cD @ X13) = $true) | (cP @ cS @ cN @ cS @ cS @ X13 != $true)) & ! [X14 : a,X15 : a,X16 : b] : ((cP @ cN @ X14 @ cN @ X15 @ (cG @ X16) = $true) | (cP @ cS @ X14 @ cS @ X15 @ X16 != $true)) & ! [X17 : b] : ((cP @ cN @ cN @ cS @ cN @ (cW @ X17) = $true) | (cP @ cS @ cS @ cS @ cN @ X17 != $true)) & ! [X18 : b] : ((cP @ cS @ cN @ cS @ cN @ (cL @ X18) = $true) | (cP @ cN @ cN @ cS @ cN @ X18 != $true))), 0.15/0.38 inference(rectify,[],[f6])). 0.15/0.38 tff(f8,plain,( 0.15/0.38 ( ! [X18:b] : ((cP @ cN @ cN @ cS @ cN @ X18 != $true) | (cP @ cS @ cN @ cS @ cN @ (cL @ X18) = $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f10,plain,( 0.15/0.38 ( ! [X14:a,X15:a,X16:b] : ((cP @ cN @ X14 @ cN @ X15 @ (cG @ X16) = $true) | (cP @ cS @ X14 @ cS @ X15 @ X16 != $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f11,plain,( 0.15/0.38 ( ! [X13:b] : ((cP @ cS @ cN @ cS @ cS @ X13 != $true) | (cP @ cN @ cN @ cS @ cN @ (cD @ X13) = $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f15,plain,( 0.15/0.38 ( ! [X8:a,X7:a,X9:b] : ((cP @ cS @ X7 @ cS @ X8 @ (cG @ X9) = $true) | (cP @ cN @ X7 @ cN @ X8 @ X9 != $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f17,plain,( 0.15/0.38 ( ! [X5:b] : ((cP @ cN @ cN @ cN @ cS @ (cW @ X5) = $true) | (cP @ cS @ cS @ cN @ cS @ X5 != $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f19,plain,( 0.15/0.38 ( ! [X3:b] : ((cP @ cS @ cS @ cN @ cS @ (cL @ X3) = $true) | (cP @ cN @ cS @ cN @ cS @ X3 != $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f22,plain,( 0.15/0.38 (cP @ cS @ cS @ cS @ cS @ cO = $true)), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f23,plain,( 0.15/0.38 ( ! [X0:b] : ((cP @ cN @ cN @ cN @ cN @ X0 != $true)) )), 0.15/0.38 inference(cnf_transformation,[],[f7])). 0.15/0.38 tff(f25,plain,( 0.15/0.38 ( ! [X0:b] : (($true != $true) | (cP @ cN @ cN @ cN @ cN @ X0 = $false)) )), 0.15/0.38 inference(fool_paramodulation,[],[f23])). 0.15/0.38 tff(f26,plain,( 0.15/0.38 ( ! [X0:b] : ((cP @ cN @ cN @ cN @ cN @ X0 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f25])). 0.15/0.38 tff(f28,plain,( 0.15/0.38 ( ! [X18:b] : (($true != $true) | (cP @ cS @ cN @ cS @ cN @ (cL @ X18) = $true) | (cP @ cN @ cN @ cS @ cN @ X18 = $false)) )), 0.15/0.38 inference(fool_paramodulation,[],[f8])). 0.15/0.38 tff(f29,plain,( 0.15/0.38 ( ! [X18:b] : ((cP @ cS @ cN @ cS @ cN @ (cL @ X18) = $true) | (cP @ cN @ cN @ cS @ cN @ X18 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f28])). 0.15/0.38 tff(f33,plain,( 0.15/0.38 (cP @ cN @ cS @ cN @ cS @ (cG @ cO) = $true)), 0.15/0.38 inference(unit_resulting_resolution,[],[f22,f10])). 0.15/0.38 tff(f34,plain,( 0.15/0.38 ( ! [X0:b] : (($false = $true) | (cP @ cS @ cN @ cS @ cN @ X0 != $true)) )), 0.15/0.38 inference(superposition,[],[f26,f10])). 0.15/0.38 tff(f37,plain,( 0.15/0.38 ( ! [X0:b] : ((cP @ cS @ cN @ cS @ cN @ X0 != $true)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f34])). 0.15/0.38 tff(f38,plain,( 0.15/0.38 ( ! [X13:b] : (($true != $true) | (cP @ cN @ cN @ cS @ cN @ (cD @ X13) = $true) | (cP @ cS @ cN @ cS @ cS @ X13 = $false)) )), 0.15/0.38 inference(fool_paramodulation,[],[f11])). 0.15/0.38 tff(f39,plain,( 0.15/0.38 ( ! [X13:b] : ((cP @ cN @ cN @ cS @ cN @ (cD @ X13) = $true) | (cP @ cS @ cN @ cS @ cS @ X13 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f38])). 0.15/0.38 tff(f44,plain,( 0.15/0.38 ( ! [X0:b] : (($true != $true) | (cP @ cS @ cN @ cS @ cN @ X0 = $false)) )), 0.15/0.38 inference(fool_paramodulation,[],[f37])). 0.15/0.38 tff(f46,plain,( 0.15/0.38 ( ! [X0:b] : ((cP @ cS @ cN @ cS @ cN @ X0 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f44])). 0.15/0.38 tff(f49,plain,( 0.15/0.38 ( ! [X18:b] : (($false = $true) | (cP @ cN @ cN @ cS @ cN @ X18 = $false)) )), 0.15/0.38 inference(backward_demodulation,[],[f46,f29])). 0.15/0.38 tff(f52,plain,( 0.15/0.38 ( ! [X18:b] : ((cP @ cN @ cN @ cS @ cN @ X18 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f49])). 0.15/0.38 tff(f57,plain,( 0.15/0.38 ( ! [X13:b] : (($false = $true) | (cP @ cS @ cN @ cS @ cS @ X13 = $false)) )), 0.15/0.38 inference(backward_demodulation,[],[f52,f39])). 0.15/0.38 tff(f60,plain,( 0.15/0.38 ( ! [X13:b] : ((cP @ cS @ cN @ cS @ cS @ X13 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f57])). 0.15/0.38 tff(f72,plain,( 0.15/0.38 ( ! [X0:b] : (($false = $true) | (cP @ cN @ cN @ cN @ cS @ X0 != $true)) )), 0.15/0.38 inference(superposition,[],[f60,f15])). 0.15/0.38 tff(f75,plain,( 0.15/0.38 ( ! [X0:b] : ((cP @ cN @ cN @ cN @ cS @ X0 != $true)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f72])). 0.15/0.38 tff(f83,plain,( 0.15/0.38 ( ! [X0:b] : (($true != $true) | (cP @ cN @ cN @ cN @ cS @ X0 = $false)) )), 0.15/0.38 inference(fool_paramodulation,[],[f75])). 0.15/0.38 tff(f90,plain,( 0.15/0.38 ( ! [X0:b] : ((cP @ cN @ cN @ cN @ cS @ X0 = $false)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f83])). 0.15/0.38 tff(f93,plain,( 0.15/0.38 ( ! [X5:b] : (($false = $true) | (cP @ cS @ cS @ cN @ cS @ X5 != $true)) )), 0.15/0.38 inference(backward_demodulation,[],[f90,f17])). 0.15/0.38 tff(f94,plain,( 0.15/0.38 ( ! [X5:b] : ((cP @ cS @ cS @ cN @ cS @ X5 != $true)) )), 0.15/0.38 inference(trivial_inequality_removal,[],[f93])). 0.15/0.38 tff(f100,plain,( 0.15/0.38 $false), 0.15/0.38 inference(unit_resulting_resolution,[],[f33,f94,f19])). 0.15/0.38 % SZS output end Proof for theBenchmark 0.15/0.38 % (27885)------------------------------ 0.15/0.38 % (27885)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.15/0.38 % (27885)Termination reason: Refutation 0.15/0.38 0.15/0.38 % (27885)Memory used [KB]: 9850 0.15/0.38 % (27885)Time elapsed: 0.037 s 0.15/0.38 % (27885)------------------------------ 0.15/0.38 % (27885)------------------------------ 0.15/0.38 % (27902)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 0.15/0.38 % (27883)Success in time 0.061 s 0.15/0.38 EOF