%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 07:01:14 EDT 2022 % Result : Theorem 0.50s 0.69s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n029.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 00:09:58 EDT 2022 % 0.12/0.33 % CPUTime : % 0.50/0.69 (* PROOF-FOUND *) % 0.50/0.69 % SZS status Theorem % 0.50/0.69 (* BEGIN-PROOF *) % 0.50/0.69 % SZS output start Proof % 0.50/0.69 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((~(apart_point_and_line A L))/\((distinct_points A B)/\(left_convergent_lines L (reverse_line (line_connecting A B)))))->(left_apart_point B (reverse_line L)))))). % 0.50/0.69 Proof. % 0.50/0.69 apply NNPP. intro zenon_G. % 0.50/0.69 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((~(apart_point_and_line A L))/\((distinct_points A B)/\(left_convergent_lines L (reverse_line (line_connecting A B)))))->(left_apart_point B (reverse_line L)))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.50/0.69 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.50/0.69 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((~(apart_point_and_line zenon_TA_bh L))/\((distinct_points zenon_TA_bh B)/\(left_convergent_lines L (reverse_line (line_connecting zenon_TA_bh B)))))->(left_apart_point B (reverse_line L))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.50/0.69 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 0.50/0.69 apply (zenon_notallex_s (fun L : zenon_U => (((~(apart_point_and_line zenon_TA_bh L))/\((distinct_points zenon_TA_bh zenon_TB_bk)/\(left_convergent_lines L (reverse_line (line_connecting zenon_TA_bh zenon_TB_bk)))))->(left_apart_point zenon_TB_bk (reverse_line L)))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.50/0.69 elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28. % 0.50/0.69 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.50/0.69 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.50/0.69 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 0.50/0.69 generalize (oag11 zenon_TL_bn). zenon_intro zenon_H2f. % 0.50/0.69 generalize (zenon_H2f (line_connecting zenon_TA_bh zenon_TB_bk)). zenon_intro zenon_H30. % 0.50/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.50/0.69 exact (zenon_H31 zenon_H2d). % 0.50/0.69 Qed. % 0.50/0.69 % SZS output end Proof % 0.50/0.69 (* END-PROOF *) % 0.50/0.69 nodes searched: 14388 % 0.50/0.69 max branch formulas: 3364 % 0.50/0.69 proof nodes created: 552 % 0.50/0.69 formulas created: 46740 % 0.50/0.69 %------------------------------------------------------------------------------