%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 07:00:26 EDT 2022 % Result : Theorem 0.41s 0.61s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n029.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 : Fri Jun 17 15:42:43 EDT 2022 % 0.13/0.35 % CPUTime : % 0.41/0.61 (* PROOF-FOUND *) % 0.41/0.61 % SZS status Theorem % 0.41/0.61 (* BEGIN-PROOF *) % 0.41/0.61 % SZS output start Proof % 0.41/0.61 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\(apart_point_and_line Z (line_connecting X Y)))->((distinct_lines (line_connecting X Y) (line_connecting Z X))/\(distinct_lines (line_connecting X Y) (line_connecting Z Y))))))). % 0.41/0.61 Proof. % 0.41/0.61 apply NNPP. intro zenon_G. % 0.41/0.61 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\(apart_point_and_line Z (line_connecting X Y)))->((distinct_lines (line_connecting X Y) (line_connecting Z X))/\(distinct_lines (line_connecting X Y) (line_connecting Z Y))))))) zenon_G); [ zenon_intro zenon_Hf; idtac ]. % 0.41/0.61 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.41/0.61 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((distinct_points zenon_TX_q Y)/\(apart_point_and_line Z (line_connecting zenon_TX_q Y)))->((distinct_lines (line_connecting zenon_TX_q Y) (line_connecting Z zenon_TX_q))/\(distinct_lines (line_connecting zenon_TX_q Y) (line_connecting Z Y)))))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.41/0.61 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14. % 0.41/0.61 apply (zenon_notallex_s (fun Z : zenon_U => (((distinct_points zenon_TX_q zenon_TY_t)/\(apart_point_and_line Z (line_connecting zenon_TX_q zenon_TY_t)))->((distinct_lines (line_connecting zenon_TX_q zenon_TY_t) (line_connecting Z zenon_TX_q))/\(distinct_lines (line_connecting zenon_TX_q zenon_TY_t) (line_connecting Z zenon_TY_t))))) zenon_H14); [ zenon_intro zenon_H15; idtac ]. % 0.41/0.61 elim zenon_H15. zenon_intro zenon_TZ_w. zenon_intro zenon_H17. % 0.41/0.61 apply (zenon_notimply_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.41/0.61 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.41/0.61 apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.41/0.61 generalize (ci1 zenon_TX_q). zenon_intro zenon_H1e. % 0.41/0.61 generalize (ceq2 zenon_TZ_w). zenon_intro zenon_H1f. % 0.41/0.61 generalize (zenon_H1e zenon_TY_t). zenon_intro zenon_H20. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.41/0.61 exact (zenon_H22 zenon_H1b). % 0.41/0.61 generalize (apart1 zenon_TX_q). zenon_intro zenon_H23. % 0.41/0.61 generalize (zenon_H1f (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H24. % 0.41/0.61 generalize (apart4 zenon_TZ_w). zenon_intro zenon_H25. % 0.41/0.61 generalize (zenon_H25 zenon_TX_q). zenon_intro zenon_H26. % 0.41/0.61 generalize (zenon_H26 zenon_TX_q). zenon_intro zenon_H27. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.41/0.61 generalize (ceq1 zenon_TZ_w). zenon_intro zenon_H2a. % 0.41/0.61 generalize (zenon_H2a (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H2b. % 0.41/0.61 generalize (zenon_H2b zenon_TX_q). zenon_intro zenon_H2c. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.41/0.61 exact (zenon_H2e zenon_H1a). % 0.41/0.61 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.41/0.61 exact (zenon_H29 zenon_H30). % 0.41/0.61 exact (zenon_H21 zenon_H2f). % 0.41/0.61 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H30 | zenon_intro zenon_H31 ]. % 0.41/0.61 generalize (ci1 zenon_TZ_w). zenon_intro zenon_H32. % 0.41/0.61 generalize (zenon_H32 zenon_TX_q). zenon_intro zenon_H33. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H29 | zenon_intro zenon_H34 ]. % 0.41/0.61 exact (zenon_H29 zenon_H30). % 0.41/0.61 generalize (zenon_H24 (line_connecting zenon_TZ_w zenon_TX_q)). zenon_intro zenon_H35. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H2e | zenon_intro zenon_H36 ]. % 0.41/0.61 exact (zenon_H2e zenon_H1a). % 0.41/0.61 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.41/0.61 exact (zenon_H1d zenon_H38). % 0.41/0.61 exact (zenon_H34 zenon_H37). % 0.41/0.61 exact (zenon_H23 zenon_H31). % 0.41/0.61 generalize (apart1 zenon_TY_t). zenon_intro zenon_H39. % 0.41/0.61 generalize (ceq2 zenon_TZ_w). zenon_intro zenon_H1f. % 0.41/0.61 generalize (ci2 zenon_TX_q). zenon_intro zenon_H3a. % 0.41/0.61 generalize (zenon_H3a zenon_TY_t). zenon_intro zenon_H3b. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H22 | zenon_intro zenon_H3c ]. % 0.41/0.61 exact (zenon_H22 zenon_H1b). % 0.41/0.61 generalize (zenon_H1f (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H24. % 0.41/0.61 generalize (apart4 zenon_TZ_w). zenon_intro zenon_H25. % 0.41/0.61 generalize (zenon_H25 zenon_TY_t). zenon_intro zenon_H3d. % 0.41/0.61 generalize (zenon_H3d zenon_TY_t). zenon_intro zenon_H3e. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.41/0.61 generalize (ceq1 zenon_TZ_w). zenon_intro zenon_H2a. % 0.41/0.61 generalize (zenon_H2a (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H2b. % 0.41/0.61 generalize (zenon_H2b zenon_TY_t). zenon_intro zenon_H41. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H2e | zenon_intro zenon_H42 ]. % 0.41/0.61 exact (zenon_H2e zenon_H1a). % 0.41/0.61 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.41/0.61 exact (zenon_H40 zenon_H44). % 0.41/0.61 exact (zenon_H3c zenon_H43). % 0.41/0.61 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H44 | zenon_intro zenon_H45 ]. % 0.41/0.61 generalize (ci1 zenon_TZ_w). zenon_intro zenon_H32. % 0.41/0.61 generalize (zenon_H32 zenon_TY_t). zenon_intro zenon_H46. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.41/0.61 exact (zenon_H40 zenon_H44). % 0.41/0.61 generalize (zenon_H24 (line_connecting zenon_TZ_w zenon_TY_t)). zenon_intro zenon_H48. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H2e | zenon_intro zenon_H49 ]. % 0.41/0.61 exact (zenon_H2e zenon_H1a). % 0.41/0.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.41/0.61 exact (zenon_H1c zenon_H4b). % 0.41/0.61 exact (zenon_H47 zenon_H4a). % 0.41/0.61 exact (zenon_H39 zenon_H45). % 0.41/0.61 Qed. % 0.41/0.61 % SZS output end Proof % 0.41/0.61 (* END-PROOF *) % 0.41/0.61 nodes searched: 6896 % 0.41/0.61 max branch formulas: 1209 % 0.41/0.61 proof nodes created: 471 % 0.41/0.61 formulas created: 17826 % 0.41/0.61 %------------------------------------------------------------------------------