0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_vampire %s %d 0.14/0.34 % Computer : n022.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Thu Jul 2 06:53:32 EDT 2020 0.14/0.34 % CPUTime : 0.21/0.38 % (29053)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 0.21/0.39 % (29054)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 0.21/0.39 % (29066)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 0.21/0.39 % (29052)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 0.21/0.39 % (29055)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 0.21/0.39 % (29057)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 % (29056)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 0.21/0.39 % (29069)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 0.21/0.39 % (29058)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 0.21/0.39 % (29044)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 0.21/0.40 % (29061)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 0.21/0.41 % (29050)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 0.21/0.41 % (29046)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 0.21/0.41 % (29051)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 0.21/0.41 % (29067)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 0.21/0.41 % (29048)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 0.21/0.41 % (29047)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 0.21/0.41 % (29049)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 % (29045)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 0.21/0.42 % (29054)Refutation found. Thanks to Tanya! 0.21/0.42 % SZS status Theorem for theBenchmark 0.21/0.42 % SZS output start Proof for theBenchmark 0.21/0.42 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 0.21/0.42 tff(func_def_4, type, cP: '$i' -> '$o'). 0.21/0.42 tff(func_def_5, type, f: '$i' -> '$i'). 0.21/0.42 tff(func_def_6, type, cEQ: '$i' -> '$i' -> '$o'). 0.21/0.42 tff(func_def_8, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.21/0.42 tff(func_def_11, type, sK0: ('$i' -> '$o') -> '$i'). 0.21/0.42 tff(func_def_13, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.21/0.42 tff(func_def_14, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.42 tff(func_def_15, type, vAND: '$o' -> '$o' -> '$o'). 0.21/0.42 tff(func_def_16, type, vOR: '$o' -> '$o' -> '$o'). 0.21/0.42 tff(func_def_17, type, vIMP: '$o' -> '$o' -> '$o'). 0.21/0.42 tff(func_def_18, type, vNOT: '$o' -> '$o'). 0.21/0.42 tff(func_def_19, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.21/0.42 tff(f1,conjecture,( 0.21/0.42 (! [X1] : cEQ @ X1 @ X1 & ! [X1,X3] : ((cP @ X1 & cEQ @ X1 @ X3) => cP @ X3) & cP @ a & ! [X3,X2] : (cEQ @ (f @ X3) @ (f @ X2) => cEQ @ X3 @ X2)) => ? [X0 : '$i' -> '$o'] : (? [X2] : X0 @ X2 & ! [X1] : (X0 @ (f @ X1) => cP @ X1))), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM304)). 0.21/0.42 tff(f2,negated_conjecture,( 0.21/0.42 ~((! [X1] : cEQ @ X1 @ X1 & ! [X1,X3] : ((cP @ X1 & cEQ @ X1 @ X3) => cP @ X3) & cP @ a & ! [X3,X2] : (cEQ @ (f @ X3) @ (f @ X2) => cEQ @ X3 @ X2)) => ? [X0 : '$i' -> '$o'] : (? [X2] : X0 @ X2 & ! [X1] : (X0 @ (f @ X1) => cP @ X1)))), 0.21/0.42 inference(negated_conjecture,[],[f1])). 0.21/0.42 tff(f3,plain,( 0.21/0.42 ~((! [X0] : cEQ @ X0 @ X0 & ! [X1,X2] : ((cP @ X1 & cEQ @ X1 @ X2) => cP @ X2) & cP @ a & ! [X3,X4] : (cEQ @ (f @ X3) @ (f @ X4) => cEQ @ X3 @ X4)) => ? [X5 : '$i' -> '$o'] : (? [X6] : X5 @ X6 & ! [X7] : (X5 @ (f @ X7) => cP @ X7)))), 0.21/0.42 inference(rectify,[],[f2])). 0.21/0.42 tff(f4,plain,( 0.21/0.42 ~((! [X0] : (cEQ @ X0 @ X0 = $true) & ! [X1,X2] : (((cP @ X1 = $true) & (cEQ @ X1 @ X2 = $true)) => (cP @ X2 = $true)) & (cP @ a = $true) & ! [X3,X4] : ((cEQ @ (f @ X3) @ (f @ X4) = $true) => (cEQ @ X3 @ X4 = $true))) => ? [X5 : '$i' -> '$o'] : (? [X6] : (X5 @ X6 = $true) & ! [X7] : ((X5 @ (f @ X7) = $true) => (cP @ X7 = $true))))), 0.21/0.42 inference(fool_elimination,[],[f3])). 0.21/0.42 tff(f5,plain,( 0.21/0.42 ! [X5 : '$i' -> '$o'] : (! [X6] : (X5 @ X6 != $true) | ? [X7] : ((cP @ X7 != $true) & (X5 @ (f @ X7) = $true))) & (! [X0] : (cEQ @ X0 @ X0 = $true) & ! [X1,X2] : ((cP @ X2 = $true) | ((cP @ X1 != $true) | (cEQ @ X1 @ X2 != $true))) & (cP @ a = $true) & ! [X3,X4] : ((cEQ @ X3 @ X4 = $true) | (cEQ @ (f @ X3) @ (f @ X4) != $true)))), 0.21/0.42 inference(ennf_transformation,[],[f4])). 0.21/0.42 tff(f6,plain,( 0.21/0.42 ! [X5 : '$i' -> '$o'] : (! [X6] : (X5 @ X6 != $true) | ? [X7] : ((cP @ X7 != $true) & (X5 @ (f @ X7) = $true))) & ! [X0] : (cEQ @ X0 @ X0 = $true) & ! [X1,X2] : ((cP @ X2 = $true) | (cP @ X1 != $true) | (cEQ @ X1 @ X2 != $true)) & (cP @ a = $true) & ! [X3,X4] : ((cEQ @ X3 @ X4 = $true) | (cEQ @ (f @ X3) @ (f @ X4) != $true))), 0.21/0.42 inference(flattening,[],[f5])). 0.21/0.42 tff(f7,plain,( 0.21/0.42 ! [X0 : '$i' -> '$o'] : (! [X1] : (X0 @ X1 != $true) | ? [X2] : ((cP @ X2 != $true) & (X0 @ (f @ X2) = $true))) & ! [X3] : (cEQ @ X3 @ X3 = $true) & ! [X4,X5] : ((cP @ X5 = $true) | (cP @ X4 != $true) | (cEQ @ X4 @ X5 != $true)) & (cP @ a = $true) & ! [X6,X7] : ((cEQ @ X6 @ X7 = $true) | (cEQ @ (f @ X6) @ (f @ X7) != $true))), 0.21/0.42 inference(rectify,[],[f6])). 0.21/0.42 tff(f8,plain,( 0.21/0.42 ! [X0 : '$i' -> '$o'] : (? [X2] : ((cP @ X2 != $true) & (X0 @ (f @ X2) = $true)) => ((cP @ (sK0 @ X0) != $true) & (X0 @ (f @ (sK0 @ X0)) = $true)))), 0.21/0.42 introduced(choice_axiom,[])). 0.21/0.42 tff(f9,plain,( 0.21/0.42 ! [X0 : '$i' -> '$o'] : (! [X1] : (X0 @ X1 != $true) | ((cP @ (sK0 @ X0) != $true) & (X0 @ (f @ (sK0 @ X0)) = $true))) & ! [X3] : (cEQ @ X3 @ X3 = $true) & ! [X4,X5] : ((cP @ X5 = $true) | (cP @ X4 != $true) | (cEQ @ X4 @ X5 != $true)) & (cP @ a = $true) & ! [X6,X7] : ((cEQ @ X6 @ X7 = $true) | (cEQ @ (f @ X6) @ (f @ X7) != $true))), 0.21/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])). 0.21/0.42 tff(f10,plain,( 0.21/0.42 ( ! [X6,X7] : ((cEQ @ (f @ X6) @ (f @ X7) != $true) | (cEQ @ X6 @ X7 = $true)) )), 0.21/0.42 inference(cnf_transformation,[],[f9])). 0.21/0.42 tff(f11,plain,( 0.21/0.42 (cP @ a = $true)), 0.21/0.42 inference(cnf_transformation,[],[f9])). 0.21/0.42 tff(f12,plain,( 0.21/0.42 ( ! [X4,X5] : ((cEQ @ X4 @ X5 != $true) | (cP @ X4 != $true) | (cP @ X5 = $true)) )), 0.21/0.42 inference(cnf_transformation,[],[f9])). 0.21/0.42 tff(f13,plain,( 0.21/0.42 ( ! [X3] : ((cEQ @ X3 @ X3 = $true)) )), 0.21/0.42 inference(cnf_transformation,[],[f9])). 0.21/0.42 tff(f14,plain,( 0.21/0.42 ( ! [X0:'$i' -> '$o',X1] : ((X0 @ X1 != $true) | (X0 @ (f @ (sK0 @ X0)) = $true)) )), 0.21/0.42 inference(cnf_transformation,[],[f9])). 0.21/0.42 tff(f15,plain,( 0.21/0.42 ( ! [X0:'$i' -> '$o',X1] : ((cP @ (sK0 @ X0) != $true) | (X0 @ X1 != $true)) )), 0.21/0.42 inference(cnf_transformation,[],[f9])). 0.21/0.42 tff(f20,plain,( 0.21/0.42 spl1_0 <=> (cP @ a = $true)), 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 0.21/0.42 tff(f21,plain,( 0.21/0.42 (cP @ a = $true) | ~spl1_0), 0.21/0.42 inference(avatar_component_clause,[],[f20])). 0.21/0.42 tff(f22,plain,( 0.21/0.42 spl1_0), 0.21/0.42 inference(avatar_split_clause,[],[f11,f20])). 0.21/0.42 tff(f28,plain,( 0.21/0.42 ( ! [X0] : (($true != $true) | (cEQ @ X0 @ (f @ (sK0 @ (cEQ @ X0))) = $true)) )), 0.21/0.42 inference(superposition,[],[f14,f13])). 0.21/0.42 tff(f29,plain,( 0.21/0.42 ( ! [X0] : ((cEQ @ X0 @ (f @ (sK0 @ (cEQ @ X0))) = $true)) )), 0.21/0.42 inference(trivial_inequality_removal,[],[f28])). 0.21/0.42 tff(f84,plain,( 0.21/0.42 ( ! [X0] : (($true != $true) | (cEQ @ X0 @ (sK0 @ (cEQ @ (f @ X0))) = $true)) )), 0.21/0.42 inference(superposition,[],[f10,f29])). 0.21/0.42 tff(f87,plain,( 0.21/0.42 ( ! [X0] : ((cEQ @ X0 @ (sK0 @ (cEQ @ (f @ X0))) = $true)) )), 0.21/0.42 inference(trivial_inequality_removal,[],[f84])). 0.21/0.42 tff(f89,plain,( 0.21/0.42 ( ! [X0] : (($true != $true) | (cP @ X0 != $true) | (cP @ (sK0 @ (cEQ @ (f @ X0))) = $true)) )), 0.21/0.42 inference(superposition,[],[f12,f87])). 0.21/0.42 tff(f92,plain,( 0.21/0.42 ( ! [X0] : ((cP @ X0 != $true) | (cP @ (sK0 @ (cEQ @ (f @ X0))) = $true)) )), 0.21/0.42 inference(trivial_inequality_removal,[],[f89])). 0.21/0.42 tff(f93,plain,( 0.21/0.42 ($true != $true) | (cP @ (sK0 @ (cEQ @ (f @ a))) = $true) | ~spl1_0), 0.21/0.42 inference(superposition,[],[f92,f21])). 0.21/0.42 tff(f98,plain,( 0.21/0.42 (cP @ (sK0 @ (cEQ @ (f @ a))) = $true) | ~spl1_0), 0.21/0.42 inference(trivial_inequality_removal,[],[f93])). 0.21/0.42 tff(f103,plain,( 0.21/0.42 spl1_10 <=> (cP @ (sK0 @ (cEQ @ (f @ a))) = $true)), 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 0.21/0.42 tff(f104,plain,( 0.21/0.42 (cP @ (sK0 @ (cEQ @ (f @ a))) = $true) | ~spl1_10), 0.21/0.42 inference(avatar_component_clause,[],[f103])). 0.21/0.42 tff(f105,plain,( 0.21/0.42 spl1_10 | ~spl1_0), 0.21/0.42 inference(avatar_split_clause,[],[f98,f20,f103])). 0.21/0.42 tff(f120,plain,( 0.21/0.42 ( ! [X0] : (($true != $true) | (cEQ @ (f @ a) @ X0 != $true)) ) | ~spl1_10), 0.21/0.42 inference(superposition,[],[f15,f104])). 0.21/0.42 tff(f127,plain,( 0.21/0.42 ( ! [X0] : ((cEQ @ (f @ a) @ X0 != $true)) ) | ~spl1_10), 0.21/0.42 inference(trivial_inequality_removal,[],[f120])). 0.21/0.42 tff(f142,plain,( 0.21/0.42 ($true != $true) | ~spl1_10), 0.21/0.42 inference(superposition,[],[f127,f13])). 0.21/0.42 tff(f149,plain,( 0.21/0.42 $false | ~spl1_10), 0.21/0.42 inference(trivial_inequality_removal,[],[f142])). 0.21/0.42 tff(f150,plain,( 0.21/0.42 ~spl1_10), 0.21/0.42 inference(avatar_contradiction_clause,[],[f149])). 0.21/0.42 tff(f151,plain,( 0.21/0.42 $false), 0.21/0.42 inference(avatar_sat_refutation,[],[f22,f105,f150])). 0.21/0.42 % SZS output end Proof for theBenchmark 0.21/0.42 % (29054)------------------------------ 0.21/0.42 % (29054)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.21/0.42 % (29054)Termination reason: Refutation 0.21/0.42 0.21/0.42 % (29054)Memory used [KB]: 9850 0.21/0.42 % (29054)Time elapsed: 0.056 s 0.21/0.42 % (29054)------------------------------ 0.21/0.42 % (29054)------------------------------ 0.21/0.42 % (29059)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 0.21/0.42 % (29043)Success in time 0.066 s 0.21/0.42 EOF