%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 07:01:02 EDT 2022 % Result : Theorem 10.63s 10.85s % Output : Proof 10.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n005.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 18:37:53 EDT 2022 % 0.12/0.33 % CPUTime : % 10.63/10.85 (* PROOF-FOUND *) % 10.63/10.85 % SZS status Theorem % 10.63/10.85 (* BEGIN-PROOF *) % 10.63/10.85 % SZS output start Proof % 10.63/10.85 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((incident_point_and_line B (orthogonal_through_point L A))->(equal_lines (orthogonal_through_point L A) (orthogonal_through_point L B)))))). % 10.63/10.85 Proof. % 10.63/10.85 apply NNPP. intro zenon_G. % 10.63/10.85 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((incident_point_and_line B (orthogonal_through_point L A))->(equal_lines (orthogonal_through_point L A) (orthogonal_through_point L B)))))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 10.63/10.85 elim zenon_H24. zenon_intro zenon_TA_bl. zenon_intro zenon_H26. % 10.63/10.85 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((incident_point_and_line B (orthogonal_through_point L zenon_TA_bl))->(equal_lines (orthogonal_through_point L zenon_TA_bl) (orthogonal_through_point L B))))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 10.63/10.85 elim zenon_H27. zenon_intro zenon_TB_bo. zenon_intro zenon_H29. % 10.63/10.85 apply (zenon_notallex_s (fun L : zenon_U => ((incident_point_and_line zenon_TB_bo (orthogonal_through_point L zenon_TA_bl))->(equal_lines (orthogonal_through_point L zenon_TA_bl) (orthogonal_through_point L zenon_TB_bo)))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 10.63/10.85 elim zenon_H2a. zenon_intro zenon_TL_br. zenon_intro zenon_H2c. % 10.63/10.85 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 10.63/10.85 generalize (a4 zenon_TB_bo). zenon_intro zenon_H2f. % 10.63/10.85 generalize (zenon_H2f (orthogonal_through_point zenon_TL_br zenon_TA_bl)). zenon_intro zenon_H30. % 10.63/10.85 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H33; zenon_intro zenon_H32 | zenon_intro zenon_H2e; zenon_intro zenon_H31 ]. % 10.63/10.85 exact (zenon_H33 zenon_H2e). % 10.63/10.85 generalize (ax2 (orthogonal_through_point zenon_TL_br zenon_TA_bl)). zenon_intro zenon_H34. % 10.63/10.85 generalize (zenon_H34 (orthogonal_through_point zenon_TL_br zenon_TB_bo)). zenon_intro zenon_H35. % 10.63/10.85 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H2d; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ]. % 10.63/10.85 apply zenon_H38. zenon_intro zenon_H39. % 10.63/10.85 generalize (ooc2 zenon_TB_bo). zenon_intro zenon_H3a. % 10.63/10.85 generalize (zenon_H3a zenon_TL_br). zenon_intro zenon_H3b. % 10.63/10.85 generalize (ooc1 zenon_TA_bl). zenon_intro zenon_H3c. % 10.63/10.85 generalize (ooc1 zenon_TB_bo). zenon_intro zenon_H3d. % 10.63/10.85 generalize (ouo1 zenon_TB_bo). zenon_intro zenon_H3e. % 10.63/10.85 generalize (zenon_H3e (orthogonal_through_point zenon_TL_br zenon_TA_bl)). zenon_intro zenon_H3f. % 10.63/10.85 generalize (zenon_H3f (orthogonal_through_point zenon_TL_br zenon_TB_bo)). zenon_intro zenon_H40. % 10.63/10.85 generalize (zenon_H3d zenon_TL_br). zenon_intro zenon_H41. % 10.63/10.85 generalize (zenon_H40 zenon_TL_br). zenon_intro zenon_H42. % 10.63/10.85 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H36 | zenon_intro zenon_H43 ]. % 10.63/10.85 exact (zenon_H36 zenon_H39). % 10.63/10.85 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 10.63/10.85 exact (zenon_H31 zenon_H45). % 10.63/10.85 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 10.63/10.85 exact (zenon_H3b zenon_H47). % 10.63/10.85 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 10.63/10.85 generalize (zenon_H3c zenon_TL_br). zenon_intro zenon_H4a. % 10.63/10.85 exact (zenon_H4a zenon_H49). % 10.63/10.85 exact (zenon_H41 zenon_H48). % 10.63/10.85 exact (zenon_H2d zenon_H37). % 10.63/10.85 Qed. % 10.63/10.85 % SZS output end Proof % 10.63/10.85 (* END-PROOF *) % 10.63/10.85 nodes searched: 1640333 % 10.63/10.85 max branch formulas: 14429 % 10.63/10.85 proof nodes created: 36876 % 10.63/10.85 formulas created: 2545603 % 10.63/10.85 %------------------------------------------------------------------------------