%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 07:00:29 EDT 2022 % Result : Theorem 0.38s 0.56s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.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 12:38:23 EDT 2022 % 0.12/0.34 % CPUTime : % 0.38/0.56 (* PROOF-FOUND *) % 0.38/0.56 % SZS status Theorem % 0.38/0.56 (* BEGIN-PROOF *) % 0.38/0.56 % SZS output start Proof % 0.38/0.56 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)/\(equal_lines U (line_connecting X Y))))->((incident_point_and_line X U)/\(incident_point_and_line Y U))))))). % 0.38/0.56 Proof. % 0.38/0.56 apply NNPP. intro zenon_G. % 0.38/0.56 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)/\(equal_lines U (line_connecting X Y))))->((incident_point_and_line X U)/\(incident_point_and_line Y U))))))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 0.38/0.56 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26. % 0.38/0.56 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)/\(equal_lines U (line_connecting zenon_TX_bl Y))))->((incident_point_and_line zenon_TX_bl U)/\(incident_point_and_line Y U)))))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 0.38/0.56 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29. % 0.38/0.56 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines U V)/\(equal_lines U (line_connecting zenon_TX_bl zenon_TY_bo))))->((incident_point_and_line zenon_TX_bl U)/\(incident_point_and_line zenon_TY_bo U))))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 0.38/0.56 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c. % 0.38/0.56 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines zenon_TU_br V)/\(equal_lines zenon_TU_br (line_connecting zenon_TX_bl zenon_TY_bo))))->((incident_point_and_line zenon_TX_bl zenon_TU_br)/\(incident_point_and_line zenon_TY_bo zenon_TU_br)))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.38/0.56 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f. % 0.38/0.56 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.38/0.56 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.38/0.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.38/0.56 generalize (ax2 zenon_TU_br). zenon_intro zenon_H36. % 0.38/0.56 generalize (zenon_H36 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H37. % 0.38/0.56 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro zenon_H34; zenon_intro zenon_H38 ]. % 0.38/0.56 exact (zenon_H3a zenon_H34). % 0.38/0.56 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.38/0.56 generalize (a4 zenon_TX_bl). zenon_intro zenon_H3d. % 0.38/0.56 generalize (zenon_H3d zenon_TU_br). zenon_intro zenon_H3e. % 0.38/0.56 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H3c; zenon_intro zenon_H41 | zenon_intro zenon_H40; zenon_intro zenon_H3f ]. % 0.38/0.56 apply zenon_H41. zenon_intro zenon_H42. % 0.38/0.56 generalize (ceq2 zenon_TX_bl). zenon_intro zenon_H43. % 0.38/0.56 generalize (zenon_H43 zenon_TU_br). zenon_intro zenon_H44. % 0.38/0.56 generalize (ci1 zenon_TX_bl). zenon_intro zenon_H45. % 0.38/0.56 generalize (zenon_H45 zenon_TY_bo). zenon_intro zenon_H46. % 0.38/0.56 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 0.38/0.56 exact (zenon_H48 zenon_H33). % 0.38/0.56 generalize (zenon_H44 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H49. % 0.38/0.56 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ]. % 0.38/0.56 exact (zenon_H3f zenon_H42). % 0.38/0.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.38/0.56 exact (zenon_H38 zenon_H4c). % 0.38/0.56 exact (zenon_H47 zenon_H4b). % 0.38/0.56 exact (zenon_H3c zenon_H40). % 0.38/0.56 generalize (a4 zenon_TY_bo). zenon_intro zenon_H4d. % 0.38/0.56 generalize (zenon_H4d zenon_TU_br). zenon_intro zenon_H4e. % 0.38/0.56 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H3b; zenon_intro zenon_H51 | zenon_intro zenon_H50; zenon_intro zenon_H4f ]. % 0.38/0.56 apply zenon_H51. zenon_intro zenon_H52. % 0.38/0.56 generalize (ceq2 zenon_TY_bo). zenon_intro zenon_H53. % 0.38/0.56 generalize (zenon_H53 zenon_TU_br). zenon_intro zenon_H54. % 0.38/0.56 generalize (ci2 zenon_TX_bl). zenon_intro zenon_H55. % 0.38/0.56 generalize (zenon_H55 zenon_TY_bo). zenon_intro zenon_H56. % 0.38/0.56 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_H48 | zenon_intro zenon_H57 ]. % 0.41/0.56 exact (zenon_H48 zenon_H33). % 0.41/0.56 generalize (zenon_H54 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H58. % 0.41/0.56 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H4f | zenon_intro zenon_H59 ]. % 0.41/0.56 exact (zenon_H4f zenon_H52). % 0.41/0.56 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H4c | zenon_intro zenon_H5a ]. % 0.41/0.56 exact (zenon_H38 zenon_H4c). % 0.41/0.56 exact (zenon_H57 zenon_H5a). % 0.41/0.56 exact (zenon_H3b zenon_H50). % 0.41/0.56 Qed. % 0.41/0.56 % SZS output end Proof % 0.41/0.56 (* END-PROOF *) % 0.41/0.56 nodes searched: 2790 % 0.41/0.56 max branch formulas: 905 % 0.41/0.56 proof nodes created: 223 % 0.41/0.56 formulas created: 10357 % 0.41/0.56 %------------------------------------------------------------------------------