0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : vampire --mode casc -t %d %s 0.13/0.33 % Computer : n029.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % DateTime : Thu Jul 2 08:38:45 EDT 2020 0.13/0.33 % CPUTime : 0.19/0.44 % 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 1.48/1.64 % Time limit reached! 1.48/1.64 % ------------------------------ 1.48/1.64 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.48/1.64 % Termination reason: Time limit 1.48/1.64 % Termination phase: Saturation 1.48/1.64 1.48/1.64 % Memory used [KB]: 6012 1.48/1.64 % Time elapsed: 1.200 s 1.48/1.64 % ------------------------------ 1.48/1.64 % ------------------------------ 1.48/1.71 % 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 1.54/1.73 % Refutation not found, incomplete strategy 1.54/1.73 % ------------------------------ 1.54/1.73 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.54/1.73 % Termination reason: Refutation not found, incomplete strategy 1.54/1.73 1.54/1.73 % Memory used [KB]: 2686 1.54/1.73 % Time elapsed: 0.030 s 1.54/1.73 % ------------------------------ 1.54/1.73 % ------------------------------ 1.59/1.80 % dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=input_only:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 1.59/2.20 % Time limit reached! 1.59/2.20 % ------------------------------ 1.59/2.20 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.59/2.20 % Termination reason: Time limit 1.59/2.20 % Termination phase: Saturation 1.59/2.20 1.59/2.20 % Memory used [KB]: 10746 1.59/2.20 % Time elapsed: 0.400 s 1.59/2.20 % ------------------------------ 1.59/2.20 % ------------------------------ 2.07/2.26 % dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off_5 on theBenchmark 2.15/2.34 % Refutation not found, incomplete strategy 2.15/2.34 % ------------------------------ 2.15/2.34 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.15/2.34 % Termination reason: Refutation not found, incomplete strategy 2.15/2.34 2.15/2.34 % Memory used [KB]: 6780 2.15/2.34 % Time elapsed: 0.077 s 2.15/2.34 % ------------------------------ 2.15/2.34 % ------------------------------ 2.20/2.40 % dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 14.03/14.10 % Time limit reached! 14.03/14.10 % ------------------------------ 14.03/14.10 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 14.03/14.10 % Termination reason: Time limit 14.03/14.10 % Termination phase: Saturation 14.03/14.10 14.03/14.10 % Memory used [KB]: 139571 14.03/14.10 % Time elapsed: 11.700 s 14.03/14.10 % ------------------------------ 14.03/14.10 % ------------------------------ 14.07/14.18 % dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 15.38/15.47 % Time limit reached! 15.38/15.47 % ------------------------------ 15.38/15.47 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 15.38/15.47 % Termination reason: Time limit 15.38/15.47 % Termination phase: Saturation 15.38/15.47 15.38/15.47 % Memory used [KB]: 25202 15.38/15.47 % Time elapsed: 1.300 s 15.38/15.47 % ------------------------------ 15.38/15.47 % ------------------------------ 15.45/15.54 % dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off_2 on theBenchmark 15.98/16.04 % Time limit reached! 15.98/16.04 % ------------------------------ 15.98/16.04 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 15.98/16.04 % Termination reason: Time limit 15.98/16.04 % Termination phase: Saturation 15.98/16.04 15.98/16.04 % Memory used [KB]: 22899 15.98/16.04 % Time elapsed: 0.500 s 15.98/16.04 % ------------------------------ 15.98/16.04 % ------------------------------ 15.98/16.10 % lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 16.67/16.70 % Time limit reached! 16.67/16.70 % ------------------------------ 16.67/16.70 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 16.67/16.70 % Termination reason: Time limit 16.67/16.70 % Termination phase: Saturation 16.67/16.70 16.67/16.70 % Memory used [KB]: 11385 16.67/16.70 % Time elapsed: 0.600 s 16.67/16.70 % ------------------------------ 16.67/16.70 % ------------------------------ 16.67/16.76 % lrs+11_3_afr=on:afp=10000:afq=1.0:cond=fast:fsr=off:fde=none:gs=on:gsem=off:lcm=reverse:nm=2:newcnf=on:nwc=1:sas=z3:stl=30:sd=10:ss=axioms:st=2.0:sos=all:sp=reverse_arity:urr=on:uhcvi=on_23 on theBenchmark 19.80/19.86 % Time limit reached! 19.80/19.86 % ------------------------------ 19.80/19.86 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 19.80/19.86 % Termination reason: Time limit 19.80/19.86 % Termination phase: Saturation 19.80/19.86 19.80/19.86 % Memory used [KB]: 23539 19.80/19.86 % Time elapsed: 3.100 s 19.80/19.86 % ------------------------------ 19.80/19.86 % ------------------------------ 19.86/19.94 % lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_66 on theBenchmark 25.80/25.78 % Refutation found. Thanks to Tanya! 25.80/25.78 % SZS status Theorem for theBenchmark 25.80/25.78 % SZS output start Proof for theBenchmark 25.80/25.78 fof(f90494,plain,( 25.80/25.78 $false), 25.80/25.78 inference(subsumption_resolution,[],[f90493,f3641])). 25.80/25.78 fof(f3641,plain,( 25.80/25.78 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 25.80/25.78 inference(cnf_transformation,[],[f1002])). 25.80/25.78 fof(f1002,axiom,( 25.80/25.78 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)). 25.80/25.78 fof(f90493,plain,( 25.80/25.78 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 25.80/25.78 inference(subsumption_resolution,[],[f90421,f21270])). 25.80/25.78 fof(f21270,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f21267,f5770])). 25.80/25.78 fof(f5770,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f5766,f5673])). 25.80/25.78 fof(f5673,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f3935,f3876])). 25.80/25.78 fof(f3876,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(cnf_transformation,[],[f1169])). 25.80/25.78 fof(f1169,axiom,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_e2)). 25.80/25.78 fof(f3935,plain,( 25.80/25.78 ( ! [X0] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)) )), 25.80/25.78 inference(cnf_transformation,[],[f136])). 25.80/25.78 fof(f136,axiom,( 25.80/25.78 ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def)). 25.80/25.78 fof(f5766,plain,( 25.80/25.78 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0))) )), 25.80/25.78 inference(forward_demodulation,[],[f5765,f4196])). 25.80/25.78 fof(f4196,plain,( 25.80/25.78 ( ! [X0,X1] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)) )), 25.80/25.78 inference(cnf_transformation,[],[f1508])). 25.80/25.78 fof(f1508,plain,( 25.80/25.78 ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)), 25.80/25.78 inference(rectify,[],[f463])). 25.80/25.78 fof(f463,axiom,( 25.80/25.78 ! [X19,X12] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X12,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X19)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X12,X19)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__real__def)). 25.80/25.78 fof(f5765,plain,( 25.80/25.78 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))) )), 25.80/25.78 inference(forward_demodulation,[],[f5764,f3935])). 25.80/25.78 fof(f5764,plain,( 25.80/25.78 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))) )), 25.80/25.78 inference(forward_demodulation,[],[f5763,f4196])). 25.80/25.78 fof(f5763,plain,( 25.80/25.78 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))) )), 25.80/25.78 inference(forward_demodulation,[],[f4222,f3935])). 25.80/25.78 fof(f4222,plain,( 25.80/25.78 ( ! [X0,X1] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))) )), 25.80/25.78 inference(cnf_transformation,[],[f1534])). 25.80/25.78 fof(f1534,plain,( 25.80/25.78 ! [X0,X1] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))), 25.80/25.78 inference(rectify,[],[f679])). 25.80/25.78 fof(f679,axiom,( 25.80/25.78 ! [X19,X12] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X12,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X19))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X19,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X12)))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__minus__add__cancel)). 25.80/25.78 fof(f21267,plain,( 25.80/25.78 ( ! [X4,X5] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X5)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X5),X4))) )), 25.80/25.78 inference(subsumption_resolution,[],[f21220,f3731])). 25.80/25.78 fof(f3731,plain,( 25.80/25.78 class_Groups_Ogroup__add(tc_RealDef_Oreal)), 25.80/25.78 inference(cnf_transformation,[],[f295])). 25.80/25.78 fof(f295,axiom,( 25.80/25.78 class_Groups_Ogroup__add(tc_RealDef_Oreal)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add)). 25.80/25.78 fof(f21220,plain,( 25.80/25.78 ( ! [X4,X5] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X5)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X5),X4)) | ~class_Groups_Ogroup__add(tc_RealDef_Oreal)) )), 25.80/25.78 inference(superposition,[],[f5766,f4880])). 25.80/25.78 fof(f4880,plain,( 25.80/25.78 ( ! [X2,X0,X1] : (c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Ominus__class_Ominus(X2,X1,c_Groups_Ouminus__class_Ouminus(X2,X0)) | ~class_Groups_Ogroup__add(X2)) )), 25.80/25.78 inference(cnf_transformation,[],[f2777])). 25.80/25.78 fof(f2777,plain,( 25.80/25.78 ! [X0,X1,X2] : (c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Ominus__class_Ominus(X2,X1,c_Groups_Ouminus__class_Ouminus(X2,X0)) | ~class_Groups_Ogroup__add(X2))), 25.80/25.78 inference(ennf_transformation,[],[f1953])). 25.80/25.78 fof(f1953,plain,( 25.80/25.78 ! [X0,X1,X2] : (class_Groups_Ogroup__add(X2) => c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Ominus__class_Ominus(X2,X1,c_Groups_Ouminus__class_Ouminus(X2,X0)))), 25.80/25.78 inference(rectify,[],[f448])). 25.80/25.78 fof(f448,axiom,( 25.80/25.78 ! [X22,X16,X1] : (class_Groups_Ogroup__add(X1) => c_Groups_Oplus__class_Oplus(X1,X16,X22) = c_Groups_Ominus__class_Ominus(X1,X16,c_Groups_Ouminus__class_Ouminus(X1,X22)))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__minus__eq__add)). 25.80/25.78 fof(f90421,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 25.80/25.78 inference(superposition,[],[f21280,f3987])). 25.80/25.78 fof(f3987,plain,( 25.80/25.78 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) | ~class_RealVector_Oreal__normed__vector(X0)) )), 25.80/25.78 inference(cnf_transformation,[],[f2250])). 25.80/25.78 fof(f2250,plain,( 25.80/25.78 ! [X0] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) | ~class_RealVector_Oreal__normed__vector(X0))), 25.80/25.78 inference(ennf_transformation,[],[f1349])). 25.80/25.78 fof(f1349,plain,( 25.80/25.78 ! [X0] : (class_RealVector_Oreal__normed__vector(X0) => c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)))), 25.80/25.78 inference(rectify,[],[f1225])). 25.80/25.78 fof(f1225,axiom,( 25.80/25.78 ! [X1] : (class_RealVector_Oreal__normed__vector(X1) => c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__zero)). 25.80/25.78 fof(f21280,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f21267,f17546])). 25.80/25.78 fof(f17546,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(subsumption_resolution,[],[f17528,f3720])). 25.80/25.78 fof(f3720,plain,( 25.80/25.78 class_Groups_Oab__group__add(tc_Complex_Ocomplex)), 25.80/25.78 inference(cnf_transformation,[],[f334])). 25.80/25.78 fof(f334,axiom,( 25.80/25.78 class_Groups_Oab__group__add(tc_Complex_Ocomplex)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oab__group__add)). 25.80/25.78 fof(f17528,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~class_Groups_Oab__group__add(tc_Complex_Ocomplex)), 25.80/25.78 inference(superposition,[],[f17508,f5548])). 25.80/25.78 fof(f5548,plain,( 25.80/25.78 ( ! [X2,X1] : (c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X1) | ~class_Groups_Oab__group__add(X2)) )), 25.80/25.78 inference(equality_resolution,[],[f4868])). 25.80/25.78 fof(f4868,plain,( 25.80/25.78 ( ! [X2,X0,X1] : (c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) | X0 != X1 | ~class_Groups_Oab__group__add(X2)) )), 25.80/25.78 inference(cnf_transformation,[],[f3481])). 25.80/25.78 fof(f3481,plain,( 25.80/25.78 ! [X0,X1,X2] : (((X0 = X1 | c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0)) & (c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) | X0 != X1)) | ~class_Groups_Oab__group__add(X2))), 25.80/25.78 inference(nnf_transformation,[],[f2760])). 25.80/25.78 fof(f2760,plain,( 25.80/25.78 ! [X0,X1,X2] : ((X0 = X1 <=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0)) | ~class_Groups_Oab__group__add(X2))), 25.80/25.78 inference(ennf_transformation,[],[f1942])). 25.80/25.78 fof(f1942,plain,( 25.80/25.78 ! [X0,X1,X2] : (class_Groups_Oab__group__add(X2) => (X0 = X1 <=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0)))), 25.80/25.78 inference(rectify,[],[f118])). 25.80/25.78 fof(f118,axiom,( 25.80/25.78 ! [X14,X15,X1] : (class_Groups_Oab__group__add(X1) => (X14 = X15 <=> c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X15,X14)))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__iff__diff__eq__0)). 25.80/25.78 fof(f17508,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f17507,f5768])). 25.80/25.78 fof(f5768,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f5766,f5675])). 25.80/25.78 fof(f5675,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(backward_demodulation,[],[f3935,f3618])). 25.80/25.78 fof(f3618,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(cnf_transformation,[],[f1253])). 25.80/25.78 fof(f1253,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(flattening,[],[f1079])). 25.80/25.78 fof(f1079,negated_conjecture,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 inference(negated_conjecture,[],[f1078])). 25.80/25.78 fof(f1078,conjecture,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 25.80/25.78 fof(f17507,plain,( 25.80/25.78 v_z____ = v_wa____), 25.80/25.78 inference(subsumption_resolution,[],[f17505,f3730])). 25.80/25.78 fof(f3730,plain,( 25.80/25.78 class_Groups_Ogroup__add(tc_Complex_Ocomplex)), 25.80/25.78 inference(cnf_transformation,[],[f354])). 25.80/25.78 fof(f354,axiom,( 25.80/25.78 class_Groups_Ogroup__add(tc_Complex_Ocomplex)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add)). 25.80/25.78 fof(f17505,plain,( 25.80/25.78 v_z____ = v_wa____ | ~class_Groups_Ogroup__add(tc_Complex_Ocomplex)), 25.80/25.78 inference(trivial_inequality_removal,[],[f17501])). 25.80/25.78 fof(f17501,plain,( 25.80/25.78 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) | v_z____ = v_wa____ | ~class_Groups_Ogroup__add(tc_Complex_Ocomplex)), 25.80/25.78 inference(superposition,[],[f4892,f17462])). 25.80/25.78 fof(f17462,plain,( 25.80/25.78 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)), 25.80/25.78 inference(subsumption_resolution,[],[f17434,f3641])). 25.80/25.78 fof(f17434,plain,( 25.80/25.78 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) | ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 25.80/25.78 inference(resolution,[],[f4253,f5661])). 25.80/25.78 fof(f5661,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))), 25.80/25.78 inference(subsumption_resolution,[],[f5660,f3859])). 25.80/25.78 fof(f3859,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)), 25.80/25.78 inference(cnf_transformation,[],[f1016])). 25.80/25.78 fof(f1016,axiom,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_w)). 25.80/25.78 fof(f5660,plain,( 25.80/25.78 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)), 25.80/25.78 inference(subsumption_resolution,[],[f3881,f3618])). 25.80/25.78 fof(f3881,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)), 25.80/25.78 inference(cnf_transformation,[],[f2242])). 25.80/25.78 fof(f2242,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)), 25.80/25.78 inference(flattening,[],[f2241])). 25.80/25.78 fof(f2241,plain,( 25.80/25.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____))), 25.80/25.78 inference(ennf_transformation,[],[f359])). 25.80/25.78 fof(f359,axiom,( 25.80/25.78 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)) => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096)). 25.80/25.78 fof(f4253,plain,( 25.80/25.78 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | c_Groups_Ozero__class_Ozero(X1) = X0 | ~class_RealVector_Oreal__normed__vector(X1)) )), 25.80/25.78 inference(cnf_transformation,[],[f3264])). 25.80/25.78 fof(f3264,plain,( 25.80/25.78 ! [X0,X1] : (((c_Groups_Ozero__class_Ozero(X1) != X0 | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | c_Groups_Ozero__class_Ozero(X1) = X0)) | ~class_RealVector_Oreal__normed__vector(X1))), 25.80/25.78 inference(nnf_transformation,[],[f2383])). 25.80/25.78 fof(f2383,plain,( 25.80/25.78 ! [X0,X1] : ((c_Groups_Ozero__class_Ozero(X1) != X0 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))) | ~class_RealVector_Oreal__normed__vector(X1))), 25.80/25.78 inference(ennf_transformation,[],[f1560])). 25.80/25.78 fof(f1560,plain,( 25.80/25.78 ! [X0,X1] : (class_RealVector_Oreal__normed__vector(X1) => (c_Groups_Ozero__class_Ozero(X1) != X0 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))))), 25.80/25.78 inference(rectify,[],[f845])). 25.80/25.78 fof(f845,axiom,( 25.80/25.78 ! [X4,X1] : (class_RealVector_Oreal__normed__vector(X1) => (c_Groups_Ozero__class_Ozero(X1) != X4 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X4))))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__norm__iff)). 25.80/25.78 fof(f4892,plain,( 25.80/25.78 ( ! [X2,X0,X1] : (c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0) | X0 = X1 | ~class_Groups_Ogroup__add(X2)) )), 25.80/25.78 inference(cnf_transformation,[],[f3486])). 25.80/25.78 fof(f3486,plain,( 25.80/25.78 ! [X0,X1,X2] : (((c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) | X0 != X1) & (X0 = X1 | c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0))) | ~class_Groups_Ogroup__add(X2))), 25.80/25.78 inference(nnf_transformation,[],[f2786])). 25.80/25.78 fof(f2786,plain,( 25.80/25.78 ! [X0,X1,X2] : ((c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) <=> X0 = X1) | ~class_Groups_Ogroup__add(X2))), 25.80/25.78 inference(ennf_transformation,[],[f1961])). 25.80/25.78 fof(f1961,plain,( 25.80/25.78 ! [X0,X1,X2] : (class_Groups_Ogroup__add(X2) => (c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) <=> X0 = X1))), 25.80/25.78 inference(rectify,[],[f308])). 25.80/25.78 fof(f308,axiom,( 25.80/25.78 ! [X14,X15,X1] : (class_Groups_Ogroup__add(X1) => (c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X15,X14) <=> X14 = X15))), 25.80/25.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__minus__eq)). 25.80/25.78 % SZS output end Proof for theBenchmark 25.80/25.78 % ------------------------------ 25.80/25.78 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.80/25.78 % Termination reason: Refutation 25.80/25.78 25.80/25.78 % Memory used [KB]: 42216 25.80/25.78 % Time elapsed: 5.869 s 25.80/25.78 % ------------------------------ 25.80/25.78 % ------------------------------ 25.80/25.79 % Success in time 25.426 s 25.80/25.79 EOF