%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO240+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 07:01:13 EDT 2022 % Result : Theorem 0.36s 0.52s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO240+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 18 17:17:39 EDT 2022 % 0.13/0.35 % CPUTime : % 0.36/0.52 (* PROOF-FOUND *) % 0.36/0.52 % SZS status Theorem % 0.36/0.52 (* BEGIN-PROOF *) % 0.36/0.52 % SZS output start Proof % 0.36/0.52 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\(right_apart_point B L))->(right_convergent_lines L (line_connecting A B)))))). % 0.36/0.52 Proof. % 0.36/0.52 apply NNPP. intro zenon_G. % 0.36/0.52 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((incident_point_and_line A L)/\(right_apart_point B L))->(right_convergent_lines L (line_connecting A B)))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.36/0.52 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.36/0.52 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((incident_point_and_line zenon_TA_bm L)/\(right_apart_point B L))->(right_convergent_lines L (line_connecting zenon_TA_bm B))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.36/0.52 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.36/0.52 apply (zenon_notallex_s (fun L : zenon_U => (((incident_point_and_line zenon_TA_bm L)/\(right_apart_point zenon_TB_bp L))->(right_convergent_lines L (line_connecting zenon_TA_bm zenon_TB_bp)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.36/0.52 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d. % 0.36/0.52 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.52 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.52 generalize (a2_defns zenon_TB_bp). zenon_intro zenon_H32. % 0.36/0.52 generalize (zenon_H32 zenon_TL_bs). zenon_intro zenon_H33. % 0.36/0.52 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H30; zenon_intro zenon_H34 ]. % 0.36/0.52 exact (zenon_H36 zenon_H30). % 0.36/0.52 generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H37. % 0.36/0.52 generalize (zenon_H37 zenon_TL_bs). zenon_intro zenon_H38. % 0.36/0.52 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H39. zenon_intro zenon_H35. % 0.36/0.52 exact (zenon_H35 zenon_H34). % 0.36/0.52 Qed. % 0.36/0.52 % SZS output end Proof % 0.36/0.52 (* END-PROOF *) % 0.36/0.52 nodes searched: 250 % 0.36/0.52 max branch formulas: 259 % 0.36/0.52 proof nodes created: 14 % 0.36/0.52 formulas created: 2223 % 0.36/0.52 %------------------------------------------------------------------------------