%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO242+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 07:01:15 EDT 2022 % Result : Theorem 0.18s 0.56s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO242+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jun 18 10:16:24 EDT 2022 % 0.12/0.34 % CPUTime : % 0.18/0.56 (* PROOF-FOUND *) % 0.18/0.56 % SZS status Theorem % 0.18/0.56 (* BEGIN-PROOF *) % 0.18/0.56 % SZS output start Proof % 0.18/0.56 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\((distinct_points A B)/\(right_convergent_lines L (line_connecting A B))))->(right_apart_point B L))))). % 0.18/0.56 Proof. % 0.18/0.56 apply NNPP. intro zenon_G. % 0.18/0.56 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\((distinct_points A B)/\(right_convergent_lines L (line_connecting A B))))->(right_apart_point B L))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.18/0.56 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.18/0.56 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((incident_point_and_line zenon_TA_bm L)/\((distinct_points zenon_TA_bm B)/\(right_convergent_lines L (line_connecting zenon_TA_bm B))))->(right_apart_point B L)))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.18/0.56 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.18/0.56 apply (zenon_notallex_s (fun L : zenon_U => (((incident_point_and_line zenon_TA_bm L)/\((distinct_points zenon_TA_bm zenon_TB_bp)/\(right_convergent_lines L (line_connecting zenon_TA_bm zenon_TB_bp))))->(right_apart_point zenon_TB_bp L))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.18/0.56 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d. % 0.18/0.56 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.18/0.56 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.18/0.56 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.18/0.56 generalize (a3_defns zenon_TL_bs). zenon_intro zenon_H34. % 0.18/0.56 generalize (zenon_H34 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H35. % 0.18/0.56 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H38; zenon_intro zenon_H37 | zenon_intro zenon_H32; zenon_intro zenon_H36 ]. % 0.18/0.56 exact (zenon_H38 zenon_H32). % 0.18/0.56 generalize (ax11_basics zenon_TL_bs). zenon_intro zenon_H39. % 0.18/0.56 generalize (zenon_H39 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H3a. % 0.18/0.56 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3b. zenon_intro zenon_H37. % 0.18/0.56 exact (zenon_H37 zenon_H36). % 0.18/0.56 Qed. % 0.18/0.56 % SZS output end Proof % 0.18/0.56 (* END-PROOF *) % 0.18/0.56 nodes searched: 2435 % 0.18/0.56 max branch formulas: 1038 % 0.18/0.56 proof nodes created: 194 % 0.18/0.56 formulas created: 10927 % 0.18/0.56 %------------------------------------------------------------------------------