%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 07:01:26 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n021.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 : Sat Jun 18 11:11:46 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting A B))->(((left_apart_point D (reverse_line (line_connecting B C)))/\(left_apart_point D (reverse_line (line_connecting C A))))->(left_apart_point D (line_connecting A B)))))))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting A B))->(((left_apart_point D (reverse_line (line_connecting B C)))/\(left_apart_point D (reverse_line (line_connecting C A))))->(left_apart_point D (line_connecting A B)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.20/0.52 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.20/0.52 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting zenon_TA_bh B))->(((left_apart_point D (reverse_line (line_connecting B C)))/\(left_apart_point D (reverse_line (line_connecting C zenon_TA_bh))))->(left_apart_point D (line_connecting zenon_TA_bh B))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.20/0.52 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 0.20/0.52 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, ((left_apart_point C (line_connecting zenon_TA_bh zenon_TB_bk))->(((left_apart_point D (reverse_line (line_connecting zenon_TB_bk C)))/\(left_apart_point D (reverse_line (line_connecting C zenon_TA_bh))))->(left_apart_point D (line_connecting zenon_TA_bh zenon_TB_bk)))))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.20/0.52 elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28. % 0.20/0.52 apply (zenon_notallex_s (fun D : zenon_U => ((left_apart_point zenon_TC_bn (line_connecting zenon_TA_bh zenon_TB_bk))->(((left_apart_point D (reverse_line (line_connecting zenon_TB_bk zenon_TC_bn)))/\(left_apart_point D (reverse_line (line_connecting zenon_TC_bn zenon_TA_bh))))->(left_apart_point D (line_connecting zenon_TA_bh zenon_TB_bk))))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.20/0.52 elim zenon_H29. zenon_intro zenon_TD_bq. zenon_intro zenon_H2b. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.20/0.52 generalize (oag10 zenon_TD_bq). zenon_intro zenon_H32. % 0.20/0.52 generalize (zenon_H32 (line_connecting zenon_TB_bk zenon_TC_bn)). zenon_intro zenon_H33. % 0.20/0.52 apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.20/0.52 exact (zenon_H34 zenon_H31). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 593 % 0.20/0.52 max branch formulas: 537 % 0.20/0.52 proof nodes created: 18 % 0.20/0.52 formulas created: 4544 % 0.20/0.52 %------------------------------------------------------------------------------