%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 07:00:30 EDT 2022 % Result : Theorem 0.18s 0.54s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n023.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 15:47:04 EDT 2022 % 0.18/0.33 % CPUTime : % 0.18/0.54 (* PROOF-FOUND *) % 0.18/0.54 % SZS status Theorem % 0.18/0.54 (* BEGIN-PROOF *) % 0.18/0.54 % SZS output start Proof % 0.18/0.54 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\((incident_point_and_line X U)/\(incident_point_and_line Y U))))->(equal_lines U (line_connecting X Y))))))). % 0.18/0.54 Proof. % 0.18/0.54 apply NNPP. intro zenon_G. % 0.18/0.54 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\((incident_point_and_line X U)/\(incident_point_and_line Y U))))->(equal_lines U (line_connecting X Y))))))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 0.18/0.54 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26. % 0.18/0.54 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_bl Y)/\((convergent_lines U V)/\((incident_point_and_line zenon_TX_bl U)/\(incident_point_and_line Y U))))->(equal_lines U (line_connecting zenon_TX_bl Y)))))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 0.18/0.54 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29. % 0.18/0.54 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines U V)/\((incident_point_and_line zenon_TX_bl U)/\(incident_point_and_line zenon_TY_bo U))))->(equal_lines U (line_connecting zenon_TX_bl zenon_TY_bo))))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 0.18/0.54 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c. % 0.18/0.54 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines zenon_TU_br V)/\((incident_point_and_line zenon_TX_bl zenon_TU_br)/\(incident_point_and_line zenon_TY_bo zenon_TU_br))))->(equal_lines zenon_TU_br (line_connecting zenon_TX_bl zenon_TY_bo)))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.18/0.54 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f. % 0.18/0.54 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.18/0.54 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.18/0.54 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.18/0.54 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.18/0.54 generalize (a4 zenon_TX_bl). zenon_intro zenon_H38. % 0.18/0.54 generalize (zenon_H38 zenon_TU_br). zenon_intro zenon_H39. % 0.18/0.54 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H37; zenon_intro zenon_H3a ]. % 0.18/0.54 exact (zenon_H3c zenon_H37). % 0.18/0.54 generalize (a4 zenon_TY_bo). zenon_intro zenon_H3d. % 0.18/0.54 generalize (zenon_H3d zenon_TU_br). zenon_intro zenon_H3e. % 0.18/0.54 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H41; zenon_intro zenon_H40 | zenon_intro zenon_H36; zenon_intro zenon_H3f ]. % 0.18/0.54 exact (zenon_H41 zenon_H36). % 0.18/0.54 generalize (ax2 zenon_TU_br). zenon_intro zenon_H42. % 0.18/0.54 generalize (zenon_H42 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H43. % 0.18/0.54 apply (zenon_equiv_s _ _ zenon_H43); [ zenon_intro zenon_H30; zenon_intro zenon_H46 | zenon_intro zenon_H45; zenon_intro zenon_H44 ]. % 0.18/0.54 apply zenon_H46. zenon_intro zenon_H47. % 0.18/0.54 generalize (cu1 zenon_TX_bl). zenon_intro zenon_H48. % 0.18/0.54 generalize (zenon_H48 zenon_TY_bo). zenon_intro zenon_H49. % 0.18/0.54 generalize (zenon_H49 zenon_TU_br). zenon_intro zenon_H4a. % 0.18/0.54 generalize (ci1 zenon_TX_bl). zenon_intro zenon_H4b. % 0.18/0.54 generalize (ci2 zenon_TX_bl). zenon_intro zenon_H4c. % 0.18/0.54 generalize (zenon_H4b zenon_TY_bo). zenon_intro zenon_H4d. % 0.18/0.54 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.18/0.54 exact (zenon_H4f zenon_H33). % 0.18/0.54 generalize (zenon_H4c zenon_TY_bo). zenon_intro zenon_H50. % 0.18/0.54 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H4f | zenon_intro zenon_H51 ]. % 0.18/0.54 exact (zenon_H4f zenon_H33). % 0.18/0.54 generalize (zenon_H4a (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H52. % 0.18/0.54 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.18/0.54 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H4f | zenon_intro zenon_H44 ]. % 0.18/0.54 exact (zenon_H4f zenon_H33). % 0.18/0.54 exact (zenon_H44 zenon_H47). % 0.18/0.54 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.18/0.54 exact (zenon_H3a zenon_H56). % 0.18/0.54 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.18/0.54 exact (zenon_H4e zenon_H58). % 0.18/0.54 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.18/0.54 exact (zenon_H3f zenon_H5a). % 0.18/0.54 exact (zenon_H51 zenon_H59). % 0.18/0.54 exact (zenon_H30 zenon_H45). % 0.18/0.54 Qed. % 0.18/0.54 % SZS output end Proof % 0.18/0.54 (* END-PROOF *) % 0.18/0.54 nodes searched: 2611 % 0.18/0.54 max branch formulas: 927 % 0.18/0.54 proof nodes created: 232 % 0.18/0.54 formulas created: 9547 % 0.18/0.54 %------------------------------------------------------------------------------