%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP019^1 : TPTP v9.2.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:50:57 PM UTC 2025 % Result : Theorem 43.86s 44.05s % Output : Proof 43.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ITP019^1 : TPTP v9.2.0. Bugfixed v7.5.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n027.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 22:20:53 EDT 2025 % 0.13/0.35 % CPUTime : % 43.86/44.05 SZS status Theorem for theBenchmark.p % 43.86/44.05 SZS output start Proof for theBenchmark.p % 43.86/44.05 Clause #39 (by assumption #[]): Eq % 43.86/44.05 (∀ (V0z : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Iff (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.86/44.05 (Eq V0z (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) % 43.86/44.05 True % 43.86/44.05 Clause #40 (by assumption #[]): Eq % 43.86/44.05 (Not % 43.86/44.05 (∀ (V0z : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Not (Eq V0z (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) → % 43.86/44.05 Not (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) % 43.86/44.05 True % 43.86/44.05 Clause #952 (by clausification #[39]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq % 43.86/44.05 (Iff (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.86/44.05 (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) % 43.86/44.05 True % 43.86/44.05 Clause #954 (by clausification #[952]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Or (Eq (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) False) % 43.86/44.05 (Eq (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) True) % 43.86/44.05 Clause #963 (by clausification #[40]): Eq % 43.86/44.05 (∀ (V0z : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Not (Eq V0z (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) → % 43.86/44.05 Not (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) % 43.86/44.05 False % 43.86/44.05 Clause #964 (by clausification #[963]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq % 43.86/44.05 (Not % 43.86/44.05 (Not (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) → % 43.86/44.05 Not % 43.86/44.05 (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) % 43.86/44.05 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))) % 43.86/44.05 True % 43.86/44.05 Clause #965 (by clausification #[964]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq % 43.86/44.05 (Not (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) → % 43.86/44.05 Not % 43.86/44.05 (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) % 43.86/44.05 False % 43.86/44.05 Clause #966 (by clausification #[965]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq (Not (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) True % 43.86/44.05 Clause #967 (by clausification #[965]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq % 43.86/44.05 (Not % 43.86/44.05 (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) % 43.86/44.05 False % 43.86/44.05 Clause #968 (by clausification #[966]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) False % 43.86/44.05 Clause #969 (by clausification #[968]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Ne (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0) % 43.86/44.05 Clause #6041 (by clausification #[967]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.86/44.05 True % 43.86/44.05 Clause #6042 (by clausification #[6041]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0) % 43.86/44.05 Clause #6066 (by clausification #[954]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.86/44.05 Or (Eq (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) True) % 43.86/44.05 (Ne (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.94/44.16 Clause #6067 (by clausification #[6066]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.94/44.16 Or (Ne (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.94/44.16 (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.94/44.16 Clause #6068 (by superposition #[6067, 6042]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.94/44.16 Or % 43.94/44.16 (Ne (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0) % 43.94/44.16 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.94/44.16 (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) % 43.94/44.16 Clause #6070 (by eliminate resolved literals #[6068]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29), % 43.94/44.16 Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0) % 43.94/44.16 Clause #6071 (by forward contextual literal cutting #[6070, 969]): False % 43.94/44.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------