%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 07:00:27 EDT 2022 % Result : Theorem 0.37s 0.53s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n005.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 04:10:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.37/0.53 (* PROOF-FOUND *) % 0.37/0.53 % SZS status Theorem % 0.37/0.53 (* BEGIN-PROOF *) % 0.37/0.53 % SZS output start Proof % 0.37/0.53 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))->(apart_point_and_line X (line_connecting Z Y))))))). % 0.37/0.53 Proof. % 0.37/0.53 apply NNPP. intro zenon_G. % 0.37/0.53 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))->(apart_point_and_line X (line_connecting Z Y))))))) zenon_G); [ zenon_intro zenon_Hf; idtac ]. % 0.37/0.53 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.37/0.53 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))->(apart_point_and_line zenon_TX_q (line_connecting Z Y)))))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.37/0.53 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14. % 0.37/0.53 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))->(apart_point_and_line zenon_TX_q (line_connecting Z zenon_TY_t))))) zenon_H14); [ zenon_intro zenon_H15; idtac ]. % 0.37/0.54 elim zenon_H15. zenon_intro zenon_TZ_w. zenon_intro zenon_H17. % 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.37/0.54 generalize (apart1 zenon_TY_t). zenon_intro zenon_H1c. % 0.37/0.54 generalize (ci1 zenon_TX_q). zenon_intro zenon_H1d. % 0.37/0.54 generalize (cu1 zenon_TX_q). zenon_intro zenon_H1e. % 0.37/0.54 generalize (zenon_H1e zenon_TY_t). zenon_intro zenon_H1f. % 0.37/0.54 generalize (ceq2 zenon_TZ_w). zenon_intro zenon_H20. % 0.37/0.54 generalize (ci2 zenon_TX_q). zenon_intro zenon_H21. % 0.37/0.54 generalize (zenon_H1d zenon_TY_t). zenon_intro zenon_H22. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.37/0.54 exact (zenon_H24 zenon_H19). % 0.37/0.54 generalize (zenon_H21 zenon_TY_t). zenon_intro zenon_H25. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.37/0.54 exact (zenon_H24 zenon_H19). % 0.37/0.54 generalize (zenon_H20 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H27. % 0.37/0.54 generalize (apart4 zenon_TZ_w). zenon_intro zenon_H28. % 0.37/0.54 generalize (zenon_H28 zenon_TY_t). zenon_intro zenon_H29. % 0.37/0.54 generalize (zenon_H29 zenon_TY_t). zenon_intro zenon_H2a. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.37/0.54 generalize (ceq1 zenon_TZ_w). zenon_intro zenon_H2d. % 0.37/0.54 generalize (zenon_H2d (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H2e. % 0.37/0.54 generalize (zenon_H2e zenon_TY_t). zenon_intro zenon_H2f. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.37/0.54 exact (zenon_H31 zenon_H1b). % 0.37/0.54 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.37/0.54 exact (zenon_H2c zenon_H33). % 0.37/0.54 exact (zenon_H26 zenon_H32). % 0.37/0.54 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ]. % 0.37/0.54 generalize (ci1 zenon_TZ_w). zenon_intro zenon_H35. % 0.37/0.54 generalize (zenon_H35 zenon_TY_t). zenon_intro zenon_H36. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H2c | zenon_intro zenon_H37 ]. % 0.37/0.54 exact (zenon_H2c zenon_H33). % 0.37/0.54 generalize (ci2 zenon_TZ_w). zenon_intro zenon_H38. % 0.37/0.54 generalize (zenon_H38 zenon_TY_t). zenon_intro zenon_H39. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H2c | zenon_intro zenon_H3a ]. % 0.37/0.54 exact (zenon_H2c zenon_H33). % 0.37/0.54 generalize (zenon_H27 (line_connecting zenon_TZ_w zenon_TY_t)). zenon_intro zenon_H3b. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ]. % 0.37/0.54 exact (zenon_H31 zenon_H1b). % 0.37/0.54 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.37/0.54 generalize (zenon_H1f (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H3f. % 0.37/0.54 generalize (zenon_H3f (line_connecting zenon_TZ_w zenon_TY_t)). zenon_intro zenon_H40. % 0.37/0.54 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.37/0.54 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H24 | zenon_intro zenon_H43 ]. % 0.37/0.54 exact (zenon_H24 zenon_H19). % 0.37/0.54 exact (zenon_H43 zenon_H3e). % 0.37/0.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.37/0.54 exact (zenon_H23 zenon_H45). % 0.37/0.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.37/0.54 exact (zenon_H1a zenon_H47). % 0.37/0.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H32 | zenon_intro zenon_H48 ]. % 0.37/0.54 exact (zenon_H26 zenon_H32). % 0.37/0.54 exact (zenon_H3a zenon_H48). % 0.37/0.54 exact (zenon_H37 zenon_H3d). % 0.37/0.54 exact (zenon_H1c zenon_H34). % 0.37/0.54 Qed. % 0.37/0.54 % SZS output end Proof % 0.37/0.54 (* END-PROOF *) % 0.37/0.54 nodes searched: 1903 % 0.37/0.54 max branch formulas: 800 % 0.37/0.54 proof nodes created: 212 % 0.37/0.54 formulas created: 7157 % 0.37/0.54 %------------------------------------------------------------------------------