%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 07:00:52 EDT 2022 % Result : Theorem 0.22s 0.55s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.14 % Command : run_zenon %s %d % 0.15/0.35 % Computer : n020.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Sat Jun 18 15:37:48 EDT 2022 % 0.15/0.36 % CPUTime : % 0.22/0.55 (* PROOF-FOUND *) % 0.22/0.55 % SZS status Theorem % 0.22/0.55 (* BEGIN-PROOF *) % 0.22/0.55 % SZS output start Proof % 0.22/0.55 Theorem con : (forall A : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((apart_point_and_line A L)/\((incident_point_and_line A M)/\((incident_point_and_line A N)/\((parallel_lines M L)/\(parallel_lines N L)))))->(equal_lines M N)))))). % 0.22/0.55 Proof. % 0.22/0.55 apply NNPP. intro zenon_G. % 0.22/0.55 apply (zenon_notallex_s (fun A : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((apart_point_and_line A L)/\((incident_point_and_line A M)/\((incident_point_and_line A N)/\((parallel_lines M L)/\(parallel_lines N L)))))->(equal_lines M N)))))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 0.22/0.55 elim zenon_H24. zenon_intro zenon_TA_bl. zenon_intro zenon_H26. % 0.22/0.55 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, (((apart_point_and_line zenon_TA_bl L)/\((incident_point_and_line zenon_TA_bl M)/\((incident_point_and_line zenon_TA_bl N)/\((parallel_lines M L)/\(parallel_lines N L)))))->(equal_lines M N))))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 0.22/0.55 elim zenon_H27. zenon_intro zenon_TL_bo. zenon_intro zenon_H29. % 0.22/0.55 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, (((apart_point_and_line zenon_TA_bl zenon_TL_bo)/\((incident_point_and_line zenon_TA_bl M)/\((incident_point_and_line zenon_TA_bl N)/\((parallel_lines M zenon_TL_bo)/\(parallel_lines N zenon_TL_bo)))))->(equal_lines M N)))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 0.22/0.55 elim zenon_H2a. zenon_intro zenon_TM_br. zenon_intro zenon_H2c. % 0.22/0.55 apply (zenon_notallex_s (fun N : zenon_U => (((apart_point_and_line zenon_TA_bl zenon_TL_bo)/\((incident_point_and_line zenon_TA_bl zenon_TM_br)/\((incident_point_and_line zenon_TA_bl N)/\((parallel_lines zenon_TM_br zenon_TL_bo)/\(parallel_lines N zenon_TL_bo)))))->(equal_lines zenon_TM_br N))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.22/0.55 elim zenon_H2d. zenon_intro zenon_TN_bu. zenon_intro zenon_H2f. % 0.22/0.55 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.22/0.55 generalize (a3 zenon_TM_br). zenon_intro zenon_H3a. % 0.22/0.55 generalize (zenon_H3a zenon_TL_bo). zenon_intro zenon_H3b. % 0.22/0.55 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H39; zenon_intro zenon_H3c ]. % 0.22/0.55 exact (zenon_H3e zenon_H39). % 0.22/0.55 generalize (a3 zenon_TN_bu). zenon_intro zenon_H3f. % 0.22/0.55 generalize (zenon_H3f zenon_TL_bo). zenon_intro zenon_H40. % 0.22/0.55 apply (zenon_equiv_s _ _ zenon_H40); [ zenon_intro zenon_H43; zenon_intro zenon_H42 | zenon_intro zenon_H38; zenon_intro zenon_H41 ]. % 0.22/0.55 exact (zenon_H43 zenon_H38). % 0.22/0.55 generalize (ax2 zenon_TM_br). zenon_intro zenon_H44. % 0.22/0.55 generalize (zenon_H44 zenon_TN_bu). zenon_intro zenon_H45. % 0.22/0.55 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H30; zenon_intro zenon_H48 | zenon_intro zenon_H47; zenon_intro zenon_H46 ]. % 0.22/0.55 apply zenon_H48. zenon_intro zenon_H49. % 0.22/0.55 generalize (apart5 zenon_TM_br). zenon_intro zenon_H4a. % 0.22/0.55 generalize (p1 zenon_TN_bu). zenon_intro zenon_H4b. % 0.22/0.55 generalize (zenon_H4a zenon_TN_bu). zenon_intro zenon_H4c. % 0.22/0.55 generalize (apart2 zenon_TM_br). zenon_intro zenon_H4d. % 0.22/0.55 generalize (zenon_H4c zenon_TM_br). zenon_intro zenon_H4e. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H46 | zenon_intro zenon_H4f ]. % 0.22/0.55 exact (zenon_H46 zenon_H49). % 0.22/0.55 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.22/0.55 exact (zenon_H4d zenon_H51). % 0.22/0.55 generalize (zenon_H4b zenon_TM_br). zenon_intro zenon_H52. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.22/0.55 exact (zenon_H54 zenon_H50). % 0.22/0.55 generalize (ax6 zenon_TN_bu). zenon_intro zenon_H55. % 0.22/0.55 generalize (zenon_H55 zenon_TM_br). zenon_intro zenon_H56. % 0.22/0.55 generalize (zenon_H56 zenon_TL_bo). zenon_intro zenon_H57. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.22/0.55 exact (zenon_H59 zenon_H53). % 0.22/0.55 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.22/0.55 exact (zenon_H41 zenon_H5b). % 0.22/0.55 exact (zenon_H3c zenon_H5a). % 0.22/0.55 exact (zenon_H30 zenon_H47). % 0.22/0.55 Qed. % 0.22/0.55 % SZS output end Proof % 0.22/0.55 (* END-PROOF *) % 0.22/0.55 nodes searched: 721 % 0.22/0.55 max branch formulas: 512 % 0.22/0.55 proof nodes created: 86 % 0.22/0.55 formulas created: 3963 % 0.22/0.55 %------------------------------------------------------------------------------