%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ITP019+2 : 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 0.19s 0.44s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ITP019+2 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Fri Jun 3 11:21:50 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.44 % SZS status Theorem % 0.19/0.44 (* PROOF-FOUND *) % 0.19/0.44 (* BEGIN-PROOF *) % 0.19/0.44 % SZS output start Proof % 0.19/0.44 1. (mem T_0 (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) (-. (mem T_0 (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal)))) ### Axiom % 0.19/0.44 2. ((ap (c_2Ecomplex_2Ecomplex__inv) T_0) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ((ap (c_2Ecomplex_2Ecomplex__inv) T_0) != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ### Axiom % 0.19/0.44 3. (T_0 != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) (T_0 = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ### Axiom % 0.19/0.44 4. (((ap (c_2Ecomplex_2Ecomplex__inv) T_0) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) <=> (T_0 = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0)))) (T_0 != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ((ap (c_2Ecomplex_2Ecomplex__inv) T_0) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ### Equiv 2 3 % 0.19/0.44 5. ((mem T_0 (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) => (((ap (c_2Ecomplex_2Ecomplex__inv) T_0) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) <=> (T_0 = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))))) ((ap (c_2Ecomplex_2Ecomplex__inv) T_0) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) (T_0 != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) (mem T_0 (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) ### Imply 1 4 % 0.19/0.44 6. (All V0z, ((mem V0z (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) => (((ap (c_2Ecomplex_2Ecomplex__inv) V0z) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) <=> (V0z = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0)))))) (mem T_0 (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) (T_0 != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ((ap (c_2Ecomplex_2Ecomplex__inv) T_0) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) ### All 5 % 0.19/0.44 7. (-. ((mem T_0 (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) => ((T_0 != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) => ((ap (c_2Ecomplex_2Ecomplex__inv) T_0) != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0)))))) (All V0z, ((mem V0z (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) => (((ap (c_2Ecomplex_2Ecomplex__inv) V0z) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) <=> (V0z = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0)))))) ### ConjTree 6 % 0.19/0.45 8. (-. (All V0z, ((mem V0z (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) => ((V0z != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) => ((ap (c_2Ecomplex_2Ecomplex__inv) V0z) != (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))))))) (All V0z, ((mem V0z (ty_2Epair_2Eprod (ty_2Erealax_2Ereal) (ty_2Erealax_2Ereal))) => (((ap (c_2Ecomplex_2Ecomplex__inv) V0z) = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0))) <=> (V0z = (ap (c_2Ecomplex_2Ecomplex__of__num) (c_2Enum_2E0)))))) ### NotAllEx 7 % 0.19/0.45 % SZS output end Proof % 0.19/0.45 (* END-PROOF *) %------------------------------------------------------------------------------