%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO248+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 : Sat Jul 16 07:01:18 EDT 2022 % Result : Theorem 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO248+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.07/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n012.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jun 18 06:25:38 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.53 (* PROOF-FOUND *) % 0.20/0.53 % SZS status Theorem % 0.20/0.53 (* BEGIN-PROOF *) % 0.20/0.53 % SZS output start Proof % 0.20/0.53 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(left_apart_point B (parallel_through_point L A)))->(left_apart_point B L))))). % 0.20/0.53 Proof. % 0.20/0.53 apply NNPP. intro zenon_G. % 0.20/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(left_apart_point B (parallel_through_point L A)))->(left_apart_point B L))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.20/0.53 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.20/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((left_apart_point zenon_TA_bh L)/\(left_apart_point B (parallel_through_point L zenon_TA_bh)))->(left_apart_point B L)))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.20/0.53 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 0.20/0.53 apply (zenon_notallex_s (fun L : zenon_U => (((left_apart_point zenon_TA_bh L)/\(left_apart_point zenon_TB_bk (parallel_through_point L zenon_TA_bh)))->(left_apart_point zenon_TB_bk L))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.20/0.53 elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28. % 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.20/0.53 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.20/0.53 generalize (oag10 zenon_TA_bh). zenon_intro zenon_H2d. % 0.20/0.53 generalize (zenon_H2d zenon_TL_bn). zenon_intro zenon_H2e. % 0.20/0.53 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.20/0.53 exact (zenon_H30 zenon_H2c). % 0.20/0.53 Qed. % 0.20/0.53 % SZS output end Proof % 0.20/0.53 (* END-PROOF *) % 0.20/0.53 nodes searched: 330 % 0.20/0.53 max branch formulas: 318 % 0.20/0.53 proof nodes created: 26 % 0.20/0.53 formulas created: 2709 % 0.20/0.53 %------------------------------------------------------------------------------