%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ITP019+1 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n024.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 : 600s % DateTime : Sun Jul 17 00:42:09 EDT 2022 % Result : Theorem 3.28s 3.52s % Output : Proof 3.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ITP019+1 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n024.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 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 2 18:52:36 EDT 2022 % 0.13/0.34 % CPUTime : % 3.28/3.52 % SZS status Theorem % 3.28/3.52 (* PROOF-FOUND *) % 3.28/3.52 (* BEGIN-PROOF *) % 3.28/3.52 % SZS output start Proof % 3.28/3.52 1. ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ### Axiom % 3.28/3.52 2. ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ### Axiom % 3.28/3.52 3. (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) <=> ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0)))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ### Equiv 1 2 % 3.28/3.52 4. (All V0z_2E0, (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) <=> ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) ### All 3 % 3.28/3.52 5. (-. ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0)))))) ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) (All V0z_2E0, (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) <=> ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))) ### NotNot 4 % 3.28/3.52 6. (-. (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) => ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) T_0))) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))) (All V0z_2E0, (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) <=> ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))) ### NotImply 5 % 3.28/3.52 7. (-. (All V0z_2E0, (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) => ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) != (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0)))))))) (All V0z_2E0, (((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__inv_2E1 (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0))) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))) <=> ((s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) V0z_2E0) = (s (tyop_2Epair_2Eprod (tyop_2Erealax_2Ereal) (tyop_2Erealax_2Ereal)) (c_2Ecomplex_2Ecomplex__of__num_2E1 (s (tyop_2Enum_2Enum) (c_2Enum_2E0_2E0))))))) ### NotAllEx 6 % 3.28/3.52 % SZS output end Proof % 3.28/3.52 (* END-PROOF *) %------------------------------------------------------------------------------