%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 0.17s 0.49s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n009.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat Jun 18 04:44:37 EDT 2022 % 0.12/0.32 % CPUTime : % 0.17/0.49 (* PROOF-FOUND *) % 0.17/0.49 % SZS status Theorem % 0.17/0.49 (* BEGIN-PROOF *) % 0.17/0.49 % SZS output start Proof % 0.17/0.49 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))))))). % 0.17/0.49 Proof. % 0.17/0.49 apply NNPP. intro zenon_G. % 0.17/0.49 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_H15; idtac ]. % 0.17/0.49 elim zenon_H15. zenon_intro zenon_TA_w. zenon_intro zenon_H17. % 0.17/0.49 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((~(apart_point_and_line zenon_TA_w L))/\(~(unorthogonal_lines L M)))->(~(distinct_lines L (orthogonal_through_point M zenon_TA_w)))))) zenon_H17); [ zenon_intro zenon_H18; idtac ]. % 0.17/0.49 elim zenon_H18. zenon_intro zenon_TL_z. zenon_intro zenon_H1a. % 0.17/0.49 apply (zenon_notallex_s (fun M : zenon_U => (((~(apart_point_and_line zenon_TA_w zenon_TL_z))/\(~(unorthogonal_lines zenon_TL_z M)))->(~(distinct_lines zenon_TL_z (orthogonal_through_point M zenon_TA_w))))) zenon_H1a); [ zenon_intro zenon_H1b; idtac ]. % 0.17/0.49 elim zenon_H1b. zenon_intro zenon_TM_bc. zenon_intro zenon_H1d. % 0.17/0.49 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.17/0.49 apply zenon_H1e. zenon_intro zenon_H20. % 0.17/0.49 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.17/0.49 generalize (ouo1 zenon_TA_w). zenon_intro zenon_H23. % 0.17/0.49 generalize (zenon_H23 zenon_TL_z). zenon_intro zenon_H24. % 0.17/0.49 generalize (zenon_H24 (orthogonal_through_point zenon_TM_bc zenon_TA_w)). zenon_intro zenon_H25. % 0.17/0.49 generalize (zenon_H25 zenon_TM_bc). zenon_intro zenon_H26. % 0.17/0.49 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.17/0.49 exact (zenon_H28 zenon_H20). % 0.17/0.49 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.17/0.49 exact (zenon_H22 zenon_H2a). % 0.17/0.49 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.17/0.49 generalize (ooc2 zenon_TA_w). zenon_intro zenon_H2d. % 0.17/0.49 generalize (zenon_H2d zenon_TM_bc). zenon_intro zenon_H2e. % 0.17/0.49 exact (zenon_H2e zenon_H2c). % 0.17/0.49 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.17/0.49 exact (zenon_H21 zenon_H30). % 0.17/0.49 generalize (ooc1 zenon_TA_w). zenon_intro zenon_H31. % 0.17/0.49 generalize (zenon_H31 zenon_TM_bc). zenon_intro zenon_H32. % 0.17/0.49 exact (zenon_H32 zenon_H2f). % 0.17/0.49 Qed. % 0.17/0.49 % SZS output end Proof % 0.17/0.49 (* END-PROOF *) % 0.17/0.49 nodes searched: 434 % 0.17/0.49 max branch formulas: 332 % 0.17/0.49 proof nodes created: 58 % 0.17/0.49 formulas created: 2820 % 0.17/0.49 %------------------------------------------------------------------------------