%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 0.15s 0.40s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.10 % Command : run_zenon %s %d % 0.10/0.29 % Computer : n032.cluster.edu % 0.10/0.29 % Model : x86_64 x86_64 % 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.29 % Memory : 8042.1875MB % 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.29 % CPULimit : 300 % 0.10/0.29 % WCLimit : 600 % 0.10/0.29 % DateTime : Sat Jun 18 05:51:31 EDT 2022 % 0.10/0.29 % CPUTime : % 0.15/0.40 (* PROOF-FOUND *) % 0.15/0.40 % SZS status Theorem % 0.15/0.40 (* BEGIN-PROOF *) % 0.15/0.40 % SZS output start Proof % 0.15/0.40 Theorem con : (forall A : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((~(apart_point_and_line A L))/\(~(unorthogonal_lines L M)))->(~(distinct_lines L (orthogonal_through_point M A))))))). % 0.15/0.40 Proof. % 0.15/0.40 apply NNPP. intro zenon_G. % 0.15/0.40 apply (zenon_notallex_s (fun A : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (((~(apart_point_and_line A L))/\(~(unorthogonal_lines L M)))->(~(distinct_lines L (orthogonal_through_point M A))))))) zenon_G); [ zenon_intro zenon_H17; idtac ]. % 0.15/0.40 elim zenon_H17. zenon_intro zenon_TA_y. zenon_intro zenon_H19. % 0.15/0.40 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((~(apart_point_and_line zenon_TA_y L))/\(~(unorthogonal_lines L M)))->(~(distinct_lines L (orthogonal_through_point M zenon_TA_y)))))) zenon_H19); [ zenon_intro zenon_H1a; idtac ]. % 0.15/0.40 elim zenon_H1a. zenon_intro zenon_TL_bb. zenon_intro zenon_H1c. % 0.15/0.40 apply (zenon_notallex_s (fun M : zenon_U => (((~(apart_point_and_line zenon_TA_y zenon_TL_bb))/\(~(unorthogonal_lines zenon_TL_bb M)))->(~(distinct_lines zenon_TL_bb (orthogonal_through_point M zenon_TA_y))))) zenon_H1c); [ zenon_intro zenon_H1d; idtac ]. % 0.15/0.40 elim zenon_H1d. zenon_intro zenon_TM_be. zenon_intro zenon_H1f. % 0.15/0.40 apply (zenon_notimply_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.15/0.40 apply zenon_H20. zenon_intro zenon_H22. % 0.15/0.40 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.15/0.40 generalize (ouo1 zenon_TA_y). zenon_intro zenon_H25. % 0.15/0.40 generalize (zenon_H25 zenon_TL_bb). zenon_intro zenon_H26. % 0.15/0.40 generalize (zenon_H26 (orthogonal_through_point zenon_TM_be zenon_TA_y)). zenon_intro zenon_H27. % 0.15/0.40 generalize (zenon_H27 zenon_TM_be). zenon_intro zenon_H28. % 0.15/0.40 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.15/0.40 exact (zenon_H2a zenon_H22). % 0.15/0.40 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.15/0.40 exact (zenon_H24 zenon_H2c). % 0.15/0.40 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.15/0.40 generalize (ooc2 zenon_TA_y). zenon_intro zenon_H2f. % 0.15/0.40 generalize (zenon_H2f zenon_TM_be). zenon_intro zenon_H30. % 0.15/0.40 exact (zenon_H30 zenon_H2e). % 0.15/0.40 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.15/0.40 exact (zenon_H23 zenon_H32). % 0.15/0.40 generalize (ooc1 zenon_TA_y). zenon_intro zenon_H33. % 0.15/0.40 generalize (zenon_H33 zenon_TM_be). zenon_intro zenon_H34. % 0.15/0.40 exact (zenon_H34 zenon_H31). % 0.15/0.40 Qed. % 0.15/0.40 % SZS output end Proof % 0.15/0.40 (* END-PROOF *) % 0.15/0.40 nodes searched: 400 % 0.15/0.40 max branch formulas: 311 % 0.15/0.40 proof nodes created: 58 % 0.15/0.40 formulas created: 2583 % 0.15/0.40 %------------------------------------------------------------------------------