0.09/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.16 % Command : vampire --mode casc -t %d %s 0.17/0.38 % Computer : n006.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 960 0.17/0.38 % DateTime : Thu Jul 2 08:52:45 EDT 2020 0.17/0.38 % CPUTime : 0.52/0.71 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 1.70/1.90 % Time limit reached! 1.70/1.90 % ------------------------------ 1.70/1.90 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.70/1.90 % Termination reason: Time limit 1.70/1.90 % Termination phase: Saturation 1.70/1.90 1.70/1.90 % Memory used [KB]: 11385 1.70/1.90 % Time elapsed: 1.200 s 1.70/1.90 % ------------------------------ 1.70/1.90 % ------------------------------ 1.75/1.98 % dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 1.75/2.04 % Refutation found. Thanks to Tanya! 1.75/2.04 % SZS status Theorem for theBenchmark 1.75/2.04 % SZS output start Proof for theBenchmark 1.75/2.04 fof(f7281,plain,( 1.75/2.04 $false), 1.75/2.04 inference(resolution,[],[f7280,f5836])). 1.75/2.04 fof(f5836,plain,( 1.75/2.04 c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 inference(cnf_transformation,[],[f1348])). 1.75/2.04 fof(f1348,axiom,( 1.75/2.04 c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 1.75/2.04 fof(f7280,plain,( 1.75/2.04 ~c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 inference(trivial_inequality_removal,[],[f7279])). 1.75/2.04 fof(f7279,plain,( 1.75/2.04 v_s_H != v_s_H | ~c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 inference(forward_demodulation,[],[f6889,f6466])). 1.75/2.04 fof(f6466,plain,( 1.75/2.04 ( ! [X0] : (v_s_H = X0) )), 1.75/2.04 inference(resolution,[],[f6429,f5835])). 1.75/2.04 fof(f5835,plain,( 1.75/2.04 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))), 1.75/2.04 inference(cnf_transformation,[],[f5230])). 1.75/2.04 fof(f5230,plain,( 1.75/2.04 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))), 1.75/2.04 inference(flattening,[],[f4358])). 1.75/2.04 fof(f4358,negated_conjecture,( 1.75/2.04 ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))), 1.75/2.04 inference(negated_conjecture,[],[f4357])). 1.75/2.04 fof(f4357,conjecture,( 1.75/2.04 hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))), 1.75/2.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)). 1.75/2.04 fof(f6429,plain,( 1.75/2.04 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) | v_s_H = X0) )), 1.75/2.04 inference(duplicate_literal_removal,[],[f6414])). 1.75/2.04 fof(f6414,plain,( 1.75/2.04 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)) | v_s_H = X0 | v_s_H = X0) )), 1.75/2.04 inference(superposition,[],[f5837,f6409])). 1.75/2.04 fof(f6409,plain,( 1.75/2.04 ( ! [X0] : (v_s_H = sK10(X0) | v_s_H = X0) )), 1.75/2.04 inference(equality_resolution,[],[f6365])). 1.75/2.04 fof(f6365,plain,( 1.75/2.04 ( ! [X10,X11] : (sK10(X11) != X10 | v_s_H = X10 | v_s_H = X11) )), 1.75/2.04 inference(duplicate_literal_removal,[],[f6364])). 1.75/2.04 fof(f6364,plain,( 1.75/2.04 ( ! [X10,X11] : (sK10(X11) != X10 | v_s_H = X10 | v_s_H = X11 | v_s_H = X10) )), 1.75/2.04 inference(superposition,[],[f5838,f6352])). 1.75/2.04 fof(f6352,plain,( 1.75/2.04 ( ! [X0,X1] : (sK10(X0) = sK10(X1) | v_s_H = X0 | v_s_H = X1) )), 1.75/2.04 inference(resolution,[],[f6326,f5837])). 1.75/2.04 fof(f6326,plain,( 1.75/2.04 ( ! [X10,X9] : (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X10)) | v_s_H = X9 | sK10(X9) = X10) )), 1.75/2.04 inference(resolution,[],[f5837,f5876])). 1.75/2.04 fof(f5876,plain,( 1.75/2.04 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0)) | X0 = X1) )), 1.75/2.04 inference(cnf_transformation,[],[f5521])). 1.75/2.04 fof(f5521,plain,( 1.75/2.04 ! [X0,X1,X2,X3] : (X0 = X1 | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)))), 1.75/2.04 inference(flattening,[],[f5520])). 1.75/2.04 fof(f5520,plain,( 1.75/2.04 ! [X0,X1,X2,X3] : ((X0 = X1 | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)))), 1.75/2.04 inference(ennf_transformation,[],[f5241])). 1.75/2.04 fof(f5241,plain,( 1.75/2.04 ! [X0,X1,X2,X3] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)) => (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0)) => X0 = X1))), 1.75/2.04 inference(rectify,[],[f3668])). 1.75/2.04 fof(f3668,axiom,( 1.75/2.04 ! [X194,X64,X65,X36] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X36),X65),X64)) => (hBOOL(hAPP(hAPP(c_Natural_Oevalc(X36),X65),X194)) => X64 = X194))), 1.75/2.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com__det)). 1.75/2.04 fof(f5838,plain,( 1.75/2.04 ( ! [X0] : (sK10(X0) != X0 | v_s_H = X0) )), 1.75/2.04 inference(cnf_transformation,[],[f5683])). 1.75/2.04 fof(f5683,plain,( 1.75/2.04 ! [X0] : (v_s_H = X0 | (sK10(X0) != X0 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK10(X0)))))), 1.75/2.04 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f5508,f5682])). 1.75/2.04 fof(f5682,plain,( 1.75/2.04 ! [X0] : (? [X1] : (X0 != X1 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))) => (sK10(X0) != X0 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK10(X0)))))), 1.75/2.04 introduced(choice_axiom,[])). 1.75/2.04 fof(f5508,plain,( 1.75/2.04 ! [X0] : (v_s_H = X0 | ? [X1] : (X0 != X1 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))))), 1.75/2.04 inference(ennf_transformation,[],[f5231])). 1.75/2.04 fof(f5231,plain,( 1.75/2.04 ! [X0] : (! [X1] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1)) => X0 = X1) => v_s_H = X0)), 1.75/2.04 inference(rectify,[],[f2328])). 1.75/2.04 fof(f2328,axiom,( 1.75/2.04 ! [X267] : (! [X73] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X73)) => X73 = X267) => v_s_H = X267)), 1.75/2.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 1.75/2.04 fof(f5837,plain,( 1.75/2.04 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK10(X0))) | v_s_H = X0) )), 1.75/2.04 inference(cnf_transformation,[],[f5683])). 1.75/2.04 fof(f6889,plain,( 1.75/2.04 v_s_H != sK17 | ~c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 inference(backward_demodulation,[],[f6466,f5886])). 1.75/2.04 fof(f5886,plain,( 1.75/2.04 ~c_Hoare__Mirabelle_Ostate__not__singleton | sK16 != sK17), 1.75/2.04 inference(cnf_transformation,[],[f5717])). 1.75/2.04 fof(f5717,plain,( 1.75/2.04 (sK16 != sK17 | ~c_Hoare__Mirabelle_Ostate__not__singleton) & (c_Hoare__Mirabelle_Ostate__not__singleton | ! [X2,X3] : X2 = X3)), 1.75/2.04 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f5715,f5716])). 1.75/2.04 fof(f5716,plain,( 1.75/2.04 ? [X0,X1] : X0 != X1 => sK16 != sK17), 1.75/2.04 introduced(choice_axiom,[])). 1.75/2.04 fof(f5715,plain,( 1.75/2.04 (? [X0,X1] : X0 != X1 | ~c_Hoare__Mirabelle_Ostate__not__singleton) & (c_Hoare__Mirabelle_Ostate__not__singleton | ! [X2,X3] : X2 = X3)), 1.75/2.04 inference(rectify,[],[f5714])). 1.75/2.04 fof(f5714,plain,( 1.75/2.04 (? [X0,X1] : X0 != X1 | ~c_Hoare__Mirabelle_Ostate__not__singleton) & (c_Hoare__Mirabelle_Ostate__not__singleton | ! [X0,X1] : X0 = X1)), 1.75/2.04 inference(nnf_transformation,[],[f5246])). 1.75/2.04 fof(f5246,plain,( 1.75/2.04 ? [X0,X1] : X0 != X1 <=> c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 inference(rectify,[],[f2402])). 1.75/2.04 fof(f2402,axiom,( 1.75/2.04 ? [X272,X273] : X272 != X273 <=> c_Hoare__Mirabelle_Ostate__not__singleton), 1.75/2.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_state__not__singleton__def)). 1.75/2.04 % SZS output end Proof for theBenchmark 1.75/2.04 % ------------------------------ 1.75/2.04 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.75/2.04 % Termination reason: Refutation 1.75/2.04 1.75/2.04 % Memory used [KB]: 6396 1.75/2.04 % Time elapsed: 0.071 s 1.75/2.04 % ------------------------------ 1.75/2.04 % ------------------------------ 1.75/2.05 % Success in time 1.663 s 1.75/2.05 EOF