0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : run_vampire %s %d 0.10/0.32 % Computer : n029.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 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Thu Jul 2 07:29:46 EDT 2020 0.10/0.32 % CPUTime : 0.10/0.35 % (20534)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 0.10/0.35 % (20543)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 0.10/0.35 % (20542)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 0.10/0.35 % (20545)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 0.10/0.36 % (20557)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 0.10/0.36 % (20539)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 0.10/0.36 % (20544)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 0.10/0.36 % (20535)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 0.10/0.36 % (20549)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 0.10/0.36 % (20544)Refutation not found, incomplete strategy 0.10/0.36 % (20544)------------------------------ 0.10/0.36 % (20544)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.10/0.36 % (20544)Termination reason: Refutation not found, incomplete strategy 0.10/0.36 0.10/0.36 % (20544)Memory used [KB]: 9850 0.10/0.36 % (20544)Time elapsed: 0.007 s 0.10/0.36 % (20544)------------------------------ 0.10/0.36 % (20544)------------------------------ 0.10/0.36 % (20536)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 0.10/0.37 % (20555)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 0.10/0.37 % (20556)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 0.10/0.37 % (20538)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 0.10/0.37 % (20562)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 0.10/0.37 % (20540)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 0.10/0.37 % (20537)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 0.10/0.37 % (20539)Refutation found. Thanks to Tanya! 0.10/0.37 % SZS status Theorem for theBenchmark 0.10/0.37 % (20541)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 0.10/0.37 % (20563)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 0.10/0.38 % (20547)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 0.10/0.38 % (20558)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 0.10/0.38 % (20559)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 0.10/0.38 % (20554)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 0.10/0.38 % (20548)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 0.10/0.38 % (20550)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 0.10/0.39 % (20548)Refutation not found, incomplete strategy 0.10/0.39 % (20548)------------------------------ 0.10/0.39 % (20548)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.10/0.39 % SZS output start Proof for theBenchmark 0.10/0.39 tff(func_def_2, type, ->: ('$tType' * '$tType') > '$tType'). 0.10/0.39 tff(func_def_4, type, epsii: (('$i' -> '$i') -> '$o') -> '$i' -> '$i'). 0.10/0.39 tff(func_def_5, type, if: '$o' -> ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i'). 0.10/0.39 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.10/0.39 tff(func_def_7, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.10/0.39 tff(func_def_8, type, vOR: '$o' -> '$o' -> '$o'). 0.10/0.39 tff(func_def_9, type, vAND: '$o' -> '$o' -> '$o'). 0.10/0.39 % (20560)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 0.10/0.39 tff(func_def_10, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.10/0.39 tff(func_def_11, type, vNOT: '$o' -> '$o'). 0.10/0.39 tff(func_def_12, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.10/0.39 tff(func_def_13, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.10/0.39 tff(func_def_14, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.10/0.39 tff(func_def_18, type, sK1: '$i' -> '$i'). 0.10/0.39 tff(func_def_20, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.10/0.39 tff(func_def_21, type, vIMP: '$o' -> '$o' -> '$o'). 0.10/0.39 tff(func_def_22, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.10/0.39 tff(func_def_24, type, sK4: ('$i' -> '$i') -> '$i'). 0.10/0.39 tff(f1,axiom,( 0.10/0.39 if = (^[X0 : '$o', X1 : '$i' -> '$i', X2 : '$i' -> '$i'] : epsii @ (^[X3 : '$i' -> '$i'] : (X2 = X3 & ~X0) | (X1 = X3 & X0)))), 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifd)). 0.10/0.39 tff(f3,conjecture,( 0.10/0.39 ! [X0 : '$o',X1 : '$i' -> '$i'] : if @ X0 @ X1 @ X1 = X1), 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.10/0.39 tff(f4,negated_conjecture,( 0.10/0.39 ~! [X0 : '$o',X1 : '$i' -> '$i'] : if @ X0 @ X1 @ X1 = X1), 0.10/0.39 inference(negated_conjecture,[],[f3])). 0.10/0.39 tff(f5,plain,( 0.10/0.39 if = (^[X0 : '$o', X1 : '$i' -> '$i', X2 : '$i' -> '$i'] : epsii @ (^[X3 : '$i' -> '$i'] : (X2 = X3 & ~X0) | (X1 = X3 & X0)))), 0.10/0.39 inference(rectify,[],[f1])). 0.10/0.39 % (20551)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 0.10/0.39 tff(f6,plain,( 0.10/0.39 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')))), 0.10/0.39 inference(fool_elimination,[],[f5])). 0.10/0.39 % (20548)Termination reason: Refutation not found, incomplete strategy 0.10/0.39 tff(f9,plain,( 0.10/0.39 ? [X0 : '$o',X1 : '$i' -> '$i'] : if @ X0 @ X1 @ X1 != X1), 0.10/0.39 inference(ennf_transformation,[],[f4])). 0.10/0.39 0.10/0.39 % (20548)Memory used [KB]: 5245 0.10/0.39 % (20548)Time elapsed: 0.048 s 0.10/0.39 % (20548)------------------------------ 0.10/0.39 % (20548)------------------------------ 0.10/0.39 tff(f11,plain,( 0.10/0.39 ? [X0 : '$o',X1 : '$i' -> '$i'] : if @ X0 @ X1 @ X1 != X1 => if @ sK0 @ sK1 @ sK1 != sK1), 0.10/0.39 introduced(choice_axiom,[])). 0.10/0.39 tff(f12,plain,( 0.10/0.39 if @ sK0 @ sK1 @ sK1 != sK1), 0.10/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11])). 0.10/0.39 tff(f13,plain,( 0.10/0.39 if @ sK0 @ sK1 @ sK1 != sK1), 0.10/0.39 inference(cnf_transformation,[],[f12])). 0.10/0.39 tff(f14,plain,( 0.10/0.39 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')))), 0.10/0.39 inference(cnf_transformation,[],[f6])). 0.10/0.39 % (20546)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 0.10/0.39 % (20553)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 0.10/0.39 tff(f16,plain,( 0.10/0.39 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 @ sK1 != sK1), 0.10/0.39 inference(definition_unfolding,[],[f13,f14])). 0.10/0.39 tff(f17,plain,( 0.10/0.39 epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))) != sK1), 0.10/0.39 inference(combinator_demodulation,[],[f16])). 0.10/0.39 tff(f19,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1)) @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1)) @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1)))) = $true)) )), 0.10/0.39 introduced(choice_axiom,[])). 0.10/0.39 tff(f21,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : ((vOR @ (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ X1)) @ (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ 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' -> '$i') @ sK1)))))) @ (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1)))))) = $true)) )), 0.10/0.39 inference(combinator_demodulation,[],[f19])). 0.10/0.39 tff(f22,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : ((vOR @ (vAND @ sK0 @ (vEQ('$i' -> '$i') @ sK1 @ X1)) @ (vAND @ (vNOT @ sK0) @ (vEQ('$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true)) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f21])). 0.10/0.39 tff(f23,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true)) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f22])). 0.10/0.39 tff(f24,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : ((vAND @ (vNOT @ sK0) @ (vEQ('$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true)) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f22])). 0.10/0.39 % (20536)Refutation not found, incomplete strategy 0.10/0.39 % (20536)------------------------------ 0.10/0.39 % (20536)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.10/0.39 % (20536)Termination reason: Refutation not found, incomplete strategy 0.10/0.39 0.10/0.39 % (20536)Memory used [KB]: 9722 0.10/0.39 % (20536)Time elapsed: 0.058 s 0.10/0.39 % (20536)------------------------------ 0.10/0.39 % (20536)------------------------------ 0.10/0.39 tff(f25,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | (vEQ('$i' -> '$i') @ sK1 @ X1 = $false)) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f24])). 0.10/0.39 tff(f26,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(equality_proxy_clausification,[],[f25])). 0.10/0.39 tff(f27,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(not_proxy_clausification,[],[f26])). 0.10/0.39 tff(f28,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | ($true = sK0) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f27])). 0.10/0.39 tff(f36,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(duplicate_literal_removal,[],[f28])). 0.10/0.39 tff(f38,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1)))) = $true) | sK1 != X1) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f36])). 0.10/0.39 tff(f39,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))) = sK1 | sK1 != X1) )), 0.10/0.39 inference(equality_proxy_clausification,[],[f38])). 0.10/0.39 tff(f41,plain,( 0.10/0.39 ( ! [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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | (vEQ('$i' -> '$i') @ sK1 @ X1 = $false)) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f23])). 0.10/0.39 tff(f42,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1))))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(equality_proxy_clausification,[],[f41])). 0.10/0.39 tff(f44,plain,( 0.10/0.39 ( ! [X1:'$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') @ sK1)))) = $true) | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f42])). 0.10/0.39 tff(f45,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))) = sK1 | (vAND @ (vNOT @ sK0) @ (vEQ('$i' -> '$i') @ sK1 @ (epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))))) = $true) | sK1 != X1) )), 0.10/0.39 inference(equality_proxy_clausification,[],[f44])). 0.10/0.39 tff(f46,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))) = sK1 | (vNOT @ sK0 = $true) | sK1 != X1) )), 0.10/0.39 inference(binary_proxy_clausification,[],[f45])). 0.10/0.39 tff(f50,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))) = sK1 | ($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(not_proxy_clausification,[],[f46])). 0.10/0.39 tff(f51,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | epsii @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ sK0) @ (vEQ('$i' -> '$i') @ sK1))) @ (bCOMB @ (vAND @ (vNOT @ sK0)) @ (vEQ('$i' -> '$i') @ sK1))) = sK1 | sK1 != X1) )), 0.10/0.39 inference(duplicate_literal_removal,[],[f50])). 0.10/0.39 tff(f62,plain,( 0.10/0.39 spl2_0 <=> ($true = sK0)), 0.10/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_0])])). 0.10/0.39 tff(f63,plain,( 0.10/0.39 ($true = sK0) | ~spl2_0), 0.10/0.39 inference(avatar_component_clause,[],[f62])). 0.10/0.39 tff(f72,plain,( 0.10/0.39 spl2_4 <=> ! [X1 : '$i' -> '$i'] : sK1 != X1), 0.10/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 0.10/0.39 tff(f73,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (sK1 != X1) ) | ~spl2_4), 0.10/0.39 inference(avatar_component_clause,[],[f72])). 0.10/0.39 tff(f78,plain,( 0.10/0.39 spl2_6 <=> ($false = sK0)), 0.10/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 0.10/0.39 tff(f79,plain,( 0.10/0.39 ($false = sK0) | ~spl2_6), 0.10/0.39 inference(avatar_component_clause,[],[f78])). 0.10/0.39 tff(f83,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f17,f51])). 0.10/0.39 tff(f85,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f83])). 0.10/0.39 tff(f87,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f85])). 0.10/0.39 tff(f89,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f17,f39])). 0.10/0.39 tff(f91,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f87])). 0.10/0.39 tff(f93,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f89])). 0.10/0.39 tff(f153,plain,( 0.10/0.39 $false | ~spl2_4), 0.10/0.39 inference(equality_resolution,[],[f73])). 0.10/0.39 tff(f154,plain,( 0.10/0.39 ~spl2_4), 0.10/0.39 inference(avatar_contradiction_clause,[],[f153])). 0.10/0.39 tff(f155,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f91])). 0.10/0.39 tff(f157,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f155])). 0.10/0.39 tff(f159,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f157])). 0.10/0.39 tff(f161,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($false = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f159])). 0.10/0.39 tff(f162,plain,( 0.10/0.39 spl2_4 | spl2_6), 0.10/0.39 inference(avatar_split_clause,[],[f161,f78,f72])). 0.10/0.39 tff(f163,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f93])). 0.10/0.39 tff(f165,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f163])). 0.10/0.39 tff(f181,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f165])). 0.10/0.39 tff(f183,plain,( 0.10/0.39 ( ! [X1:'$i' -> '$i'] : (($true = sK0) | sK1 != X1) )), 0.10/0.39 inference(global_subsumption,[],[f181])). 0.10/0.39 tff(f184,plain,( 0.10/0.39 spl2_4 | spl2_0), 0.10/0.39 inference(avatar_split_clause,[],[f183,f62,f72])). 0.10/0.39 tff(f185,plain,( 0.10/0.39 ($false = $true) | (~spl2_0 | ~spl2_6)), 0.10/0.39 inference(forward_demodulation,[],[f63,f79])). 0.10/0.39 tff(f186,plain,( 0.10/0.39 $false | (~spl2_0 | ~spl2_6)), 0.10/0.39 inference(trivial_inequality_removal,[],[f185])). 0.10/0.39 tff(f187,plain,( 0.10/0.39 ~spl2_0 | ~spl2_6), 0.10/0.39 inference(avatar_contradiction_clause,[],[f186])). 0.10/0.39 tff(f188,plain,( 0.10/0.39 $false), 0.10/0.39 inference(avatar_sat_refutation,[],[f154,f162,f184,f187])). 0.10/0.39 % SZS output end Proof for theBenchmark 0.10/0.39 % (20539)------------------------------ 0.10/0.39 % (20539)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.10/0.39 % (20539)Termination reason: Refutation 0.10/0.39 0.10/0.39 % (20539)Memory used [KB]: 9850 0.10/0.39 % (20539)Time elapsed: 0.041 s 0.10/0.39 % (20539)------------------------------ 0.10/0.39 % (20539)------------------------------ 0.10/0.39 % (20537)Refutation not found, incomplete strategy 0.10/0.39 % (20537)------------------------------ 0.10/0.39 % (20537)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.10/0.39 % (20532)Success in time 0.063 s 0.10/0.39 EOF