0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.14/0.34 % Computer : n008.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 07:47:44 EDT 2020 0.14/0.34 % CPUTime : 0.21/0.39 % (22828)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 % (22834)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 0.21/0.39 % (22834)Refutation found. Thanks to Tanya! 0.21/0.39 % SZS status Theorem for theBenchmark 0.21/0.39 % SZS output start Proof for theBenchmark 0.21/0.39 tff(func_def_0, type, b: '$tType'). 0.21/0.39 tff(func_def_2, type, a: '$tType'). 0.21/0.39 tff(func_def_5, type, ->: ('$tType' * '$tType') > '$tType'). 0.21/0.39 tff(func_def_6, type, cJ: (b -> '$o') -> b). 0.21/0.39 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.21/0.39 tff(func_def_8, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.21/0.39 tff(func_def_11, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 0.21/0.39 tff(func_def_12, type, vNOT: '$o' -> '$o'). 0.21/0.39 tff(func_def_13, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.39 tff(func_def_14, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.39 tff(func_def_15, type, sK0: b -> a). 0.21/0.39 tff(func_def_16, type, sK1: b -> a). 0.21/0.39 tff(func_def_17, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.21/0.39 tff(func_def_18, type, vAND: '$o' -> '$o' -> '$o'). 0.21/0.39 tff(func_def_19, type, vOR: '$o' -> '$o' -> '$o'). 0.21/0.39 tff(func_def_20, type, vIMP: '$o' -> '$o' -> '$o'). 0.21/0.39 tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.21/0.39 tff(func_def_22, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.21/0.39 tff(func_def_23, type, sK2: b). 0.21/0.39 tff(f1,conjecture,( 0.21/0.39 ! [X0 : b -> '$o'] : (? [X1 : b] : X0 @ X1 => X0 @ (cJ @ X0)) => ! [X2 : b -> a,X3 : b -> a] : (X2 @ (cJ @ (^[X1 : b] : X2 @ X1 != X3 @ X1)) = X3 @ (cJ @ (^[X1 : b] : X2 @ X1 != X3 @ X1)) => X2 = X3)), 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5500)). 0.21/0.39 tff(f2,negated_conjecture,( 0.21/0.39 ~(! [X0 : b -> '$o'] : (? [X1 : b] : X0 @ X1 => X0 @ (cJ @ X0)) => ! [X2 : b -> a,X3 : b -> a] : (X2 @ (cJ @ (^[X1 : b] : X2 @ X1 != X3 @ X1)) = X3 @ (cJ @ (^[X1 : b] : X2 @ X1 != X3 @ X1)) => X2 = X3))), 0.21/0.39 inference(negated_conjecture,[],[f1])). 0.21/0.39 tff(f3,plain,( 0.21/0.39 ~(! [X0 : b -> '$o'] : (? [X1 : b] : X0 @ X1 => X0 @ (cJ @ X0)) => ! [X2 : b -> a,X3 : b -> a] : (X2 @ (cJ @ (^[X4 : b] : X2 @ X4 != X3 @ X4)) = X3 @ (cJ @ (^[X5 : b] : X2 @ X5 != X3 @ X5)) => X2 = X3))), 0.21/0.39 inference(rectify,[],[f2])). 0.21/0.39 tff(f4,plain,( 0.21/0.39 ~(! [X0 : b -> '$o'] : (? [X1 : b] : (X0 @ X1 = $true) => (X0 @ (cJ @ X0) = $true)) => ! [X2 : b -> a,X3 : b -> a] : (X2 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X2) @ X3))) = X3 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X2) @ X3))) => X2 = X3))), 0.21/0.39 inference(fool_elimination,[],[f3])). 0.21/0.39 tff(f5,plain,( 0.21/0.39 ? [X2 : b -> a,X3 : b -> a] : (X2 != X3 & X2 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X2) @ X3))) = X3 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X2) @ X3)))) & ! [X0 : b -> '$o'] : ((X0 @ (cJ @ X0) = $true) | ! [X1 : b] : (X0 @ X1 != $true))), 0.21/0.39 inference(ennf_transformation,[],[f4])). 0.21/0.39 tff(f6,plain,( 0.21/0.39 ? [X0 : b -> a,X1 : b -> a] : (X0 != X1 & X0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X0) @ X1))) = X1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X0) @ X1)))) & ! [X2 : b -> '$o'] : ((X2 @ (cJ @ X2) = $true) | ! [X3 : b] : (X2 @ X3 != $true))), 0.21/0.39 inference(rectify,[],[f5])). 0.21/0.39 tff(f7,plain,( 0.21/0.39 ? [X0 : b -> a,X1 : b -> a] : (X0 != X1 & X0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X0) @ X1))) = X1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ X0) @ X1)))) => (sK0 != sK1 & sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) = sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 tff(f8,plain,( 0.21/0.39 (sK0 != sK1 & sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) = sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) & ! [X2 : b -> '$o'] : ((X2 @ (cJ @ X2) = $true) | ! [X3 : b] : (X2 @ X3 != $true))), 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7])). 0.21/0.39 tff(f10,plain,( 0.21/0.39 sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) = sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))), 0.21/0.39 inference(cnf_transformation,[],[f8])). 0.21/0.39 tff(f11,plain,( 0.21/0.39 sK0 != sK1), 0.21/0.39 inference(cnf_transformation,[],[f8])). 0.21/0.39 tff(f12,plain,( 0.21/0.39 sK0 @ sK2 != sK1 @ sK2), 0.21/0.39 inference(negative_extensionality,[],[f11])). 0.21/0.39 tff(f13,plain,( 0.21/0.39 ( ! [X1:b] : ((bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1) @ X1 = $false) | (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1) @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) = $true)) )), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 tff(f14,plain,( 0.21/0.39 ( ! [X1:b] : ((vNOT @ (vEQ(a) @ (sK0 @ X1) @ (sK1 @ X1)) = $false) | (vNOT @ (vEQ(a) @ (sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) @ (sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))))) = $true)) )), 0.21/0.39 inference(combinator_demodulation,[],[f13])). 0.21/0.39 tff(f15,plain,( 0.21/0.39 ( ! [X1:b] : ((vNOT @ (vEQ(a) @ (sK0 @ X1) @ (sK1 @ X1)) = $false) | (vEQ(a) @ (sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) @ (sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) = $false)) )), 0.21/0.39 inference(not_proxy_clausification,[],[f14])). 0.21/0.39 tff(f16,plain,( 0.21/0.39 ( ! [X1:b] : ((vNOT @ (vEQ(a) @ (sK0 @ X1) @ (sK1 @ X1)) = $false) | sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) != sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) )), 0.21/0.39 inference(equality_proxy_clausification,[],[f15])). 0.21/0.39 tff(f17,plain,( 0.21/0.39 ( ! [X1:b] : ((vEQ(a) @ (sK0 @ X1) @ (sK1 @ X1) = $true) | sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) != sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) )), 0.21/0.39 inference(not_proxy_clausification,[],[f16])). 0.21/0.39 % (22849)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 tff(f18,plain,( 0.21/0.39 ( ! [X1:b] : (sK0 @ X1 = sK1 @ X1 | sK0 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1))) != sK1 @ (cJ @ (bCOMB @ vNOT @ (sCOMB @ (bCOMB @ vEQ(a) @ sK0) @ sK1)))) )), 0.21/0.39 inference(equality_proxy_clausification,[],[f17])). 0.21/0.39 tff(f19,plain,( 0.21/0.39 ( ! [X1:b] : (sK0 @ X1 = sK1 @ X1) )), 0.21/0.39 inference(subsumption_resolution,[],[f18,f10])). 0.21/0.39 tff(f21,plain,( 0.21/0.39 sK0 @ sK2 != sK0 @ sK2), 0.21/0.39 inference(superposition,[],[f12,f19])). 0.21/0.39 tff(f22,plain,( 0.21/0.39 $false), 0.21/0.39 inference(trivial_inequality_removal,[],[f21])). 0.21/0.39 % SZS output end Proof for theBenchmark 0.21/0.39 % (22834)------------------------------ 0.21/0.39 % (22834)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.21/0.39 % (22834)Termination reason: Refutation 0.21/0.39 0.21/0.39 % (22834)Memory used [KB]: 767 0.21/0.39 % (22834)Time elapsed: 0.029 s 0.21/0.39 % (22834)------------------------------ 0.21/0.39 % (22834)------------------------------ 0.21/0.40 % (22835)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 0.21/0.40 % (22826)Success in time 0.039 s 0.21/0.40 EOF