%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO217+2 : 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 07:00:58 EDT 2022 % Result : Theorem 0.20s 0.57s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : GEO217+2 : TPTP v8.1.0. Released v3.3.0. % 0.10/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n005.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sat Jun 18 11:43:23 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.57 (* PROOF-FOUND *) % 0.20/0.57 % SZS status Theorem % 0.20/0.57 (* BEGIN-PROOF *) % 0.20/0.57 % SZS output start Proof % 0.20/0.57 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((~(convergent_lines L M))/\(~(convergent_lines L N)))->(~(convergent_lines M N)))))). % 0.20/0.57 Proof. % 0.20/0.57 apply NNPP. intro zenon_G. % 0.20/0.57 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, (((~(convergent_lines L M))/\(~(convergent_lines L N)))->(~(convergent_lines M N)))))) zenon_G); [ zenon_intro zenon_H10; idtac ]. % 0.20/0.57 elim zenon_H10. zenon_intro zenon_TL_r. zenon_intro zenon_H12. % 0.20/0.57 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, (((~(convergent_lines zenon_TL_r M))/\(~(convergent_lines zenon_TL_r N)))->(~(convergent_lines M N))))) zenon_H12); [ zenon_intro zenon_H13; idtac ]. % 0.20/0.57 elim zenon_H13. zenon_intro zenon_TM_u. zenon_intro zenon_H15. % 0.20/0.57 apply (zenon_notallex_s (fun N : zenon_U => (((~(convergent_lines zenon_TL_r zenon_TM_u))/\(~(convergent_lines zenon_TL_r N)))->(~(convergent_lines zenon_TM_u N)))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 0.20/0.57 elim zenon_H16. zenon_intro zenon_TN_x. zenon_intro zenon_H18. % 0.20/0.57 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.20/0.57 apply zenon_H19. zenon_intro zenon_H1b. % 0.20/0.57 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.20/0.57 generalize (apart3 zenon_TN_x). zenon_intro zenon_H1e. % 0.20/0.57 generalize (apart6 zenon_TM_u). zenon_intro zenon_H1f. % 0.20/0.57 generalize (zenon_H1f zenon_TN_x). zenon_intro zenon_H20. % 0.20/0.57 generalize (apart3 zenon_TM_u). zenon_intro zenon_H21. % 0.20/0.57 generalize (apart6 zenon_TN_x). zenon_intro zenon_H22. % 0.20/0.57 generalize (zenon_H20 zenon_TL_r). zenon_intro zenon_H23. % 0.20/0.57 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.20/0.57 exact (zenon_H25 zenon_H1b). % 0.20/0.57 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.20/0.57 generalize (zenon_H1f zenon_TL_r). zenon_intro zenon_H28. % 0.20/0.57 generalize (zenon_H28 zenon_TM_u). zenon_intro zenon_H29. % 0.20/0.57 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.20/0.57 exact (zenon_H2b zenon_H27). % 0.20/0.57 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.20/0.57 exact (zenon_H21 zenon_H2d). % 0.20/0.57 exact (zenon_H1d zenon_H2c). % 0.20/0.57 generalize (zenon_H22 zenon_TL_r). zenon_intro zenon_H2e. % 0.20/0.57 generalize (zenon_H2e zenon_TN_x). zenon_intro zenon_H2f. % 0.20/0.57 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.20/0.57 exact (zenon_H31 zenon_H26). % 0.20/0.57 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.20/0.57 exact (zenon_H1e zenon_H33). % 0.20/0.57 exact (zenon_H1c zenon_H32). % 0.20/0.57 Qed. % 0.20/0.57 % SZS output end Proof % 0.20/0.57 (* END-PROOF *) % 0.20/0.57 nodes searched: 2918 % 0.20/0.57 max branch formulas: 1007 % 0.20/0.57 proof nodes created: 238 % 0.20/0.57 formulas created: 9647 % 0.20/0.57 %------------------------------------------------------------------------------