%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 07:01:20 EDT 2022 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n011.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 : Sat Jun 18 02:00:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.50 (* PROOF-FOUND *) % 0.18/0.50 % SZS status Theorem % 0.18/0.50 (* BEGIN-PROOF *) % 0.18/0.50 % SZS output start Proof % 0.18/0.50 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(left_apart_point B (reverse_line L)))->((distinct_points A B)/\(left_convergent_lines (line_connecting A B) L)))))). % 0.18/0.50 Proof. % 0.18/0.50 apply NNPP. intro zenon_G. % 0.18/0.50 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 (reverse_line L)))->((distinct_points A B)/\(left_convergent_lines (line_connecting A B) L)))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.18/0.50 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.18/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((left_apart_point zenon_TA_bh L)/\(left_apart_point B (reverse_line L)))->((distinct_points zenon_TA_bh B)/\(left_convergent_lines (line_connecting zenon_TA_bh B) L))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.18/0.50 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 0.18/0.50 apply (zenon_notallex_s (fun L : zenon_U => (((left_apart_point zenon_TA_bh L)/\(left_apart_point zenon_TB_bk (reverse_line L)))->((distinct_points zenon_TA_bh zenon_TB_bk)/\(left_convergent_lines (line_connecting zenon_TA_bh zenon_TB_bk) L)))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.18/0.50 elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.18/0.50 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.18/0.50 generalize (oag10 zenon_TA_bh). zenon_intro zenon_H2d. % 0.18/0.50 generalize (zenon_H2d zenon_TL_bn). zenon_intro zenon_H2e. % 0.18/0.50 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.18/0.50 exact (zenon_H30 zenon_H2c). % 0.18/0.50 Qed. % 0.18/0.50 % SZS output end Proof % 0.18/0.50 (* END-PROOF *) % 0.18/0.50 nodes searched: 338 % 0.18/0.50 max branch formulas: 311 % 0.18/0.50 proof nodes created: 26 % 0.18/0.50 formulas created: 2653 % 0.18/0.50 %------------------------------------------------------------------------------