%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO236+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 07:01:11 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO236+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n012.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 : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sat Jun 18 09:16:08 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem con : (forall A : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\(left_apart_point A (reverse_line M)))->((unequally_directed_lines L M)\/(distinct_lines L M)))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notallex_s (fun A : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\(left_apart_point A (reverse_line M)))->((unequally_directed_lines L M)\/(distinct_lines L M)))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.20/0.50 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.20/0.50 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((left_apart_point zenon_TA_bh L)/\(left_apart_point zenon_TA_bh (reverse_line M)))->((unequally_directed_lines L M)\/(distinct_lines L M))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.20/0.50 elim zenon_H23. zenon_intro zenon_TL_bk. zenon_intro zenon_H25. % 0.20/0.50 apply (zenon_notallex_s (fun M : zenon_U => (((left_apart_point zenon_TA_bh zenon_TL_bk)/\(left_apart_point zenon_TA_bh (reverse_line M)))->((unequally_directed_lines zenon_TL_bk M)\/(distinct_lines zenon_TL_bk M)))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.20/0.50 elim zenon_H26. zenon_intro zenon_TM_bn. zenon_intro zenon_H28. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.20/0.50 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.20/0.50 generalize (oag10 zenon_TA_bh). zenon_intro zenon_H2d. % 0.20/0.50 generalize (zenon_H2d zenon_TL_bk). zenon_intro zenon_H2e. % 0.20/0.50 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.20/0.50 exact (zenon_H30 zenon_H2c). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 507 % 0.20/0.50 max branch formulas: 413 % 0.20/0.50 proof nodes created: 35 % 0.20/0.50 formulas created: 3370 % 0.20/0.50 %------------------------------------------------------------------------------