%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO208+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 07:00:51 EDT 2022 % Result : Theorem 0.14s 0.41s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0. % 0.00/0.09 % Command : run_zenon %s %d % 0.09/0.28 % Computer : n004.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 600 % 0.09/0.28 % DateTime : Fri Jun 17 22:21:08 EDT 2022 % 0.09/0.29 % CPUTime : % 0.14/0.41 (* PROOF-FOUND *) % 0.14/0.41 % SZS status Theorem % 0.14/0.41 (* BEGIN-PROOF *) % 0.14/0.41 % SZS output start Proof % 0.14/0.41 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((incident_point_and_line X Y)/\((incident_point_and_line X Z)/\(parallel_lines Y Z)))->(equal_lines Y Z))))). % 0.14/0.41 Proof. % 0.14/0.41 apply NNPP. intro zenon_G. % 0.14/0.41 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((incident_point_and_line X Y)/\((incident_point_and_line X Z)/\(parallel_lines Y Z)))->(equal_lines Y Z))))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 0.14/0.41 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26. % 0.14/0.41 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((incident_point_and_line zenon_TX_bl Y)/\((incident_point_and_line zenon_TX_bl Z)/\(parallel_lines Y Z)))->(equal_lines Y Z)))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 0.14/0.41 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29. % 0.14/0.41 apply (zenon_notallex_s (fun Z : zenon_U => (((incident_point_and_line zenon_TX_bl zenon_TY_bo)/\((incident_point_and_line zenon_TX_bl Z)/\(parallel_lines zenon_TY_bo Z)))->(equal_lines zenon_TY_bo Z))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 0.14/0.41 elim zenon_H2a. zenon_intro zenon_TZ_br. zenon_intro zenon_H2c. % 0.14/0.41 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 0.14/0.41 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.14/0.41 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.14/0.41 generalize (a3 zenon_TY_bo). zenon_intro zenon_H33. % 0.14/0.41 generalize (zenon_H33 zenon_TZ_br). zenon_intro zenon_H34. % 0.14/0.41 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H36 | zenon_intro zenon_H31; zenon_intro zenon_H35 ]. % 0.14/0.41 exact (zenon_H37 zenon_H31). % 0.14/0.41 generalize (ax2 zenon_TY_bo). zenon_intro zenon_H38. % 0.14/0.41 generalize (zenon_H38 zenon_TZ_br). zenon_intro zenon_H39. % 0.14/0.41 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2d; zenon_intro zenon_H3c | zenon_intro zenon_H3b; zenon_intro zenon_H3a ]. % 0.14/0.41 apply zenon_H3c. zenon_intro zenon_H3d. % 0.14/0.41 generalize (p1 zenon_TY_bo). zenon_intro zenon_H3e. % 0.14/0.41 generalize (zenon_H3e zenon_TZ_br). zenon_intro zenon_H3f. % 0.14/0.41 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H3a | zenon_intro zenon_H40 ]. % 0.14/0.41 exact (zenon_H3a zenon_H3d). % 0.14/0.41 exact (zenon_H35 zenon_H40). % 0.14/0.41 exact (zenon_H2d zenon_H3b). % 0.14/0.41 Qed. % 0.14/0.41 % SZS output end Proof % 0.14/0.41 (* END-PROOF *) % 0.14/0.41 nodes searched: 272 % 0.14/0.41 max branch formulas: 255 % 0.14/0.41 proof nodes created: 32 % 0.14/0.41 formulas created: 2030 % 0.14/0.41 %------------------------------------------------------------------------------