0.04/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n003.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 07:45:26 EDT 2020 0.09/0.30 % CPUTime : 0.14/0.33 % (20625)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 0.14/0.34 % (20626)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 0.14/0.34 % (20624)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 0.14/0.34 % (20643)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 0.14/0.34 % (20635)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 0.14/0.34 % (20622)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 0.14/0.35 % (20620)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 0.14/0.35 % (20623)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 0.14/0.35 % (20621)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 0.14/0.35 % (20649)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 0.14/0.35 % (20630)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 0.14/0.35 % (20628)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 0.14/0.35 % (20631)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 0.14/0.35 % (20629)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 0.14/0.35 % (20648)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 0.14/0.35 % (20642)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 0.14/0.35 % (20630)Refutation not found, incomplete strategy 0.14/0.35 % (20630)------------------------------ 0.14/0.35 % (20630)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.14/0.35 % (20630)Termination reason: Refutation not found, incomplete strategy 0.14/0.35 0.14/0.35 % (20630)Memory used [KB]: 9978 0.14/0.35 % (20630)Time elapsed: 0.037 s 0.14/0.35 % (20630)------------------------------ 0.14/0.35 % (20630)------------------------------ 0.14/0.35 % (20641)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 0.14/0.35 % (20627)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 0.14/0.36 % (20640)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 0.14/0.36 % (20634)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 0.14/0.36 % (20647)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 0.14/0.36 % (20644)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 0.14/0.36 % (20645)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 0.14/0.36 % (20634)Refutation not found, incomplete strategy 0.14/0.36 % (20634)------------------------------ 0.14/0.36 % (20634)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.14/0.36 % (20632)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 0.14/0.36 % (20634)Termination reason: Refutation not found, incomplete strategy 0.14/0.36 0.14/0.36 % (20634)Memory used [KB]: 5245 0.14/0.36 % (20634)Time elapsed: 0.051 s 0.14/0.36 % (20634)------------------------------ 0.14/0.36 % (20634)------------------------------ 0.14/0.37 % (20622)Refutation not found, incomplete strategy 0.14/0.37 % (20622)------------------------------ 0.14/0.37 % (20622)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.14/0.37 % (20622)Termination reason: Refutation not found, incomplete strategy 0.14/0.37 0.14/0.37 % (20622)Memory used [KB]: 9722 0.14/0.37 % (20622)Time elapsed: 0.057 s 0.14/0.37 % (20622)------------------------------ 0.14/0.37 % (20622)------------------------------ 0.14/0.37 % (20639)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 0.14/0.37 % (20636)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 0.14/0.37 % (20637)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 0.14/0.37 % (20633)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 0.14/0.37 % (20646)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 0.14/0.37 % (20624)Refutation found. Thanks to Tanya! 0.14/0.37 % SZS status Theorem for theBenchmark 0.14/0.37 % SZS output start Proof for theBenchmark 0.14/0.37 tff(func_def_2, type, ->: ('$tType' * '$tType') > '$tType'). 0.14/0.37 tff(func_def_4, type, epsii: (('$i' -> '$i') -> '$o') -> '$i' -> '$i'). 0.14/0.37 tff(func_def_5, type, if: '$o' -> ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i'). 0.14/0.37 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.14/0.37 tff(func_def_7, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.14/0.37 tff(func_def_8, type, vOR: '$o' -> '$o' -> '$o'). 0.14/0.37 tff(func_def_9, type, vAND: '$o' -> '$o' -> '$o'). 0.14/0.37 tff(func_def_10, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.14/0.37 tff(func_def_11, type, vNOT: '$o' -> '$o'). 0.14/0.37 tff(func_def_12, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.14/0.37 tff(func_def_13, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.14/0.37 tff(func_def_14, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.14/0.37 tff(func_def_18, type, sK1: '$i' -> '$i'). 0.14/0.37 tff(func_def_19, type, sK2: '$i' -> '$i'). 0.14/0.37 tff(func_def_21, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.14/0.37 tff(func_def_22, type, vIMP: '$o' -> '$o' -> '$o'). 0.14/0.37 tff(func_def_23, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.14/0.37 tff(func_def_26, type, sK6: ('$i' -> '$i') -> '$i'). 0.14/0.37 tff(func_def_27, type, sK7: ('$i' -> '$i') -> '$i'). 0.14/0.37 tff(f1,axiom,( 0.14/0.37 if = (^[X0 : '$o', X1 : '$i' -> '$i', X2 : '$i' -> '$i'] : epsii @ (^[X3 : '$i' -> '$i'] : (X2 = X3 & ~X0) | (X1 = X3 & X0)))), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifd)). 0.14/0.37 tff(f3,conjecture,( 0.14/0.37 ! [X0 : '$o',X1 : '$i' -> '$i',X2 : '$i' -> '$i'] : (if @ X0 @ X1 @ X2 = X1 | if @ X0 @ X1 @ X2 = X2)), 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.14/0.37 tff(f4,negated_conjecture,( 0.14/0.37 ~! [X0 : '$o',X1 : '$i' -> '$i',X2 : '$i' -> '$i'] : (if @ X0 @ X1 @ X2 = X1 | if @ X0 @ X1 @ X2 = X2)), 0.14/0.37 inference(negated_conjecture,[],[f3])). 0.14/0.37 tff(f5,plain,( 0.14/0.37 if = (^[X0 : '$o', X1 : '$i' -> '$i', X2 : '$i' -> '$i'] : epsii @ (^[X3 : '$i' -> '$i'] : (X2 = X3 & ~X0) | (X1 = X3 & X0)))), 0.14/0.37 inference(rectify,[],[f1])). 0.14/0.37 tff(f6,plain,( 0.14/0.37 if = bCOMB @ (bCOMB @ (bCOMB @ epsii)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i' -> '$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i' -> '$i')))), 0.14/0.37 inference(fool_elimination,[],[f5])). 0.14/0.37 tff(f9,plain,( 0.14/0.37 ? [X0 : '$o',X1 : '$i' -> '$i',X2 : '$i' -> '$i'] : (if @ X0 @ X1 @ X2 != X1 & if @ X0 @ X1 @ X2 != X2)), 0.14/0.37 inference(ennf_transformation,[],[f4])). 0.14/0.37 tff(f11,plain,( 0.14/0.37 ? [X0 : '$o',X1 : '$i' -> '$i',X2 : '$i' -> '$i'] : (if @ X0 @ X1 @ X2 != X1 & if @ X0 @ X1 @ X2 != X2) => (if @ sK0 @ sK1 @ sK2 != sK1 & if @ sK0 @ sK1 @ sK2 != sK2)), 0.14/0.37 introduced(choice_axiom,[])). 0.14/0.37 tff(f12,plain,( 0.14/0.37 if @ sK0 @ sK1 @ sK2 != sK1 & if @ sK0 @ sK1 @ sK2 != sK2), 0.14/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f11])). 0.14/0.37 tff(f13,plain,( 0.14/0.37 if @ sK0 @ sK1 @ sK2 != sK2), 0.14/0.37 inference(cnf_transformation,[],[f12])). 0.14/0.37 tff(f14,plain,( 0.14/0.37 if @ sK0 @ sK1 @ sK2 != sK1), 0.14/0.37 inference(cnf_transformation,[],[f12])). 0.14/0.37 % (20638)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.14/0.37 tff(f15,plain,( 0.14/0.37 if = bCOMB @ (bCOMB @ (bCOMB @ epsii)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i' -> '$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i' -> '$i')))), 0.14/0.37 inference(cnf_transformation,[],[f6])). 0.14/0.37 % (20623)Refutation not found, incomplete strategy 0.14/0.37 % (20623)------------------------------ 0.14/0.37 % (20623)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.14/0.37 % (20623)Termination reason: Refutation not found, incomplete strategy 0.14/0.37 0.14/0.37 tff(f17,plain,( 0.14/0.37 bCOMB @ (bCOMB @ (bCOMB @ epsii)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i' -> '$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i' -> '$i'))) @ sK0 @ sK1 @ sK2 != sK1), 0.14/0.37 inference(definition_unfolding,[],[f14,f15])). 0.14/0.37 % (20623)Memory used [KB]: 9978 0.14/0.37 % (20623)Time elapsed: 0.058 s 0.14/0.37 % (20623)------------------------------ 0.14/0.37 % (20623)------------------------------ 0.14/0.37 tff(f18,plain,( 0.14/0.37 bCOMB @ (bCOMB @ (bCOMB @ epsii)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i' -> '$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i' -> '$i'))) @ sK0 @ sK1 @ sK2 != sK2), 0.14/0.37 inference(definition_unfolding,[],[f13,f15])). 0.14/0.37 tff(f19,plain,( 0.14/0.37 epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) != sK2), 0.14/0.37 inference(combinator_demodulation,[],[f18])). 0.14/0.37 tff(f20,plain,( 0.14/0.37 epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) != sK1), 0.14/0.37 inference(combinator_demodulation,[],[f17])). 0.14/0.37 tff(f22,plain,( 0.14/0.37 ( ! [X1:'$i' -> '$i'] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)) @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)) @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))) = $true)) )), 0.14/0.37 introduced(choice_axiom,[])). 0.14/0.37 tff(f24,plain,( 0.14/0.37 ( ! [X1:'$i' -> '$i'] : ((vOR @ (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ X1)) @ (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ X1)) = $false) | (vOR @ (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))))) @ (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))))) = $true)) )), 0.14/0.37 inference(combinator_demodulation,[],[f22])). 0.14/0.37 tff(f25,plain,( 0.14/0.37 ( ! [X1:'$i' -> '$i'] : ((vOR @ (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ X1)) @ (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ X1)) = $false) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true)) )), 0.14/0.37 inference(binary_proxy_clausification,[],[f24])). 0.14/0.37 tff(f26,plain,( 0.14/0.37 ( ! [X1:'$i' -> '$i'] : ((vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ X1) = $false) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true)) )), 0.14/0.37 inference(binary_proxy_clausification,[],[f25])). 0.14/0.37 tff(f27,plain,( 0.14/0.37 ( ! [X1:'$i' -> '$i'] : ((vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ X1) = $false) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true)) )), 0.14/0.37 inference(binary_proxy_clausification,[],[f25])). 0.14/0.39 tff(f28,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : ((vNOT @ sK0 = $false) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vEQ('$i' -> '$i') @ sK2 @ X1 = $false)) )), 0.14/0.39 inference(binary_proxy_clausification,[],[f27])). 0.14/0.39 tff(f29,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : ((vNOT @ sK0 = $false) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK2 != X1) )), 0.14/0.39 inference(equality_proxy_clausification,[],[f28])). 0.14/0.39 tff(f30,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK2 != X1) )), 0.14/0.39 inference(not_proxy_clausification,[],[f29])). 0.14/0.39 tff(f32,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK2 != X1) )), 0.14/0.39 inference(binary_proxy_clausification,[],[f30])). 0.14/0.39 tff(f33,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK1 | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK2 != X1) )), 0.14/0.39 inference(equality_proxy_clausification,[],[f32])). 0.14/0.39 tff(f35,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK1 | (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))) = $true) | sK2 != X1) )), 0.14/0.39 inference(binary_proxy_clausification,[],[f33])). 0.14/0.39 tff(f36,plain,( 0.14/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK1 | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK2 | sK2 != X1) )), 0.14/0.39 inference(equality_proxy_clausification,[],[f35])). 0.14/0.40 % (20651)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.14/0.40 tff(f43,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vEQ('$i' -> '$i') @ sK1 @ X1 = $false)) )), 0.14/0.40 inference(binary_proxy_clausification,[],[f26])). 0.14/0.40 tff(f44,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK1 != X1) )), 0.14/0.40 inference(equality_proxy_clausification,[],[f43])). 0.14/0.40 tff(f46,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK1 != X1) )), 0.14/0.40 inference(binary_proxy_clausification,[],[f44])). 0.14/0.40 tff(f47,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK1 | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))))) = $true) | sK1 != X1) )), 0.14/0.40 inference(equality_proxy_clausification,[],[f46])). 0.14/0.40 tff(f49,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK1 | (vEQ('$i' -> '$i') @ sK2 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2)))) = $true) | sK1 != X1) )), 0.14/0.40 inference(binary_proxy_clausification,[],[f47])). 0.14/0.40 tff(f50,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK1 | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK2 | sK1 != X1) )), 0.14/0.40 inference(equality_proxy_clausification,[],[f49])). 0.14/0.40 tff(f63,plain,( 0.14/0.40 spl3_0 <=> ($true = sK0)), 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl3_0])])). 0.14/0.40 tff(f64,plain,( 0.14/0.40 ($true = sK0) | ~spl3_0), 0.14/0.40 inference(avatar_component_clause,[],[f63])). 0.14/0.40 tff(f73,plain,( 0.14/0.40 spl3_4 <=> ! [X1 : '$i' -> '$i'] : sK1 != X1), 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])). 0.14/0.40 tff(f74,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (sK1 != X1) ) | ~spl3_4), 0.14/0.40 inference(avatar_component_clause,[],[f73])). 0.14/0.40 tff(f79,plain,( 0.14/0.40 spl3_6 <=> ($false = sK0)), 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl3_6])])). 0.14/0.40 tff(f80,plain,( 0.14/0.40 ($false = sK0) | ~spl3_6), 0.14/0.40 inference(avatar_component_clause,[],[f79])). 0.14/0.40 tff(f86,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK2 | sK1 != X1) )), 0.14/0.40 inference(subsumption_resolution,[],[f50,f20])). 0.14/0.40 tff(f87,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.14/0.40 inference(subsumption_resolution,[],[f86,f19])). 0.14/0.40 tff(f88,plain,( 0.14/0.40 spl3_4 | spl3_6), 0.14/0.40 inference(avatar_split_clause,[],[f87,f79,f73])). 0.14/0.40 tff(f90,plain,( 0.14/0.40 spl3_8 <=> ! [X1 : '$i' -> '$i'] : sK2 != X1), 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])). 0.14/0.40 tff(f91,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (sK2 != X1) ) | ~spl3_8), 0.14/0.40 inference(avatar_component_clause,[],[f90])). 0.14/0.40 tff(f97,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK2))) = sK2 | sK2 != X1) )), 0.14/0.40 inference(subsumption_resolution,[],[f36,f20])). 0.14/0.40 tff(f98,plain,( 0.14/0.40 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK2 != X1) )), 0.14/0.40 inference(subsumption_resolution,[],[f97,f19])). 0.14/0.40 tff(f99,plain,( 0.14/0.40 spl3_8 | spl3_0), 0.14/0.40 inference(avatar_split_clause,[],[f98,f63,f90])). 0.14/0.40 tff(f152,plain,( 0.14/0.40 $false | ~spl3_4), 0.14/0.40 inference(equality_resolution,[],[f74])). 0.14/0.40 tff(f153,plain,( 0.14/0.40 ~spl3_4), 0.14/0.40 inference(avatar_contradiction_clause,[],[f152])). 0.14/0.40 tff(f156,plain,( 0.14/0.40 $false | ~spl3_8), 0.14/0.40 inference(equality_resolution,[],[f91])). 0.14/0.40 tff(f157,plain,( 0.14/0.40 ~spl3_8), 0.14/0.40 inference(avatar_contradiction_clause,[],[f156])). 0.14/0.40 tff(f197,plain,( 0.14/0.40 ($false = $true) | (~spl3_0 | ~spl3_6)), 0.14/0.40 inference(forward_demodulation,[],[f64,f80])). 0.14/0.40 tff(f198,plain,( 0.14/0.40 $false | (~spl3_0 | ~spl3_6)), 0.14/0.40 inference(trivial_inequality_removal,[],[f197])). 0.14/0.40 tff(f199,plain,( 0.14/0.40 ~spl3_0 | ~spl3_6), 0.14/0.40 inference(avatar_contradiction_clause,[],[f198])). 0.14/0.40 tff(f200,plain,( 0.14/0.40 $false), 0.14/0.40 inference(avatar_sat_refutation,[],[f88,f99,f153,f157,f199])). 0.14/0.40 % SZS output end Proof for theBenchmark 0.14/0.40 % (20624)------------------------------ 0.14/0.40 % (20624)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.14/0.40 % (20624)Termination reason: Refutation 0.14/0.40 0.14/0.40 % (20624)Memory used [KB]: 5373 0.14/0.40 % (20624)Time elapsed: 0.069 s 0.14/0.40 % (20624)------------------------------ 0.14/0.40 % (20624)------------------------------ 0.14/0.40 % (20619)Success in time 0.093 s 0.14/0.40 EOF