%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 07:01:05 EDT 2022 % Result : Theorem 5.23s 5.45s % Output : Proof 5.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n011.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 05:07:52 EDT 2022 % 0.12/0.33 % CPUTime : % 5.23/5.45 (* PROOF-FOUND *) % 5.23/5.45 % SZS status Theorem % 5.23/5.45 (* BEGIN-PROOF *) % 5.23/5.45 % SZS output start Proof % 5.23/5.45 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (((point A)/\((point B)/\(distinct_points A B)))->(exists X : zenon_U, ((line X)->((~(apart_point_and_line A X))/\(~(apart_point_and_line B X)))))))). % 5.23/5.45 Proof. % 5.23/5.45 apply NNPP. intro zenon_G. % 5.23/5.45 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((point A)/\((point B)/\(distinct_points A B)))->(exists X : zenon_U, ((line X)->((~(apart_point_and_line A X))/\(~(apart_point_and_line B X)))))))) zenon_G); [ zenon_intro zenon_H13; idtac ]. % 5.23/5.45 elim zenon_H13. zenon_intro zenon_TA_u. zenon_intro zenon_H15. % 5.23/5.45 apply (zenon_notallex_s (fun B : zenon_U => (((point zenon_TA_u)/\((point B)/\(distinct_points zenon_TA_u B)))->(exists X : zenon_U, ((line X)->((~(apart_point_and_line zenon_TA_u X))/\(~(apart_point_and_line B X))))))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 5.23/5.45 elim zenon_H16. zenon_intro zenon_TB_x. zenon_intro zenon_H18. % 5.23/5.45 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 5.23/5.45 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 5.23/5.45 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 5.23/5.45 generalize (ci1 zenon_TA_u). zenon_intro zenon_H1f. % 5.23/5.45 generalize (zenon_H1f zenon_TB_x). zenon_intro zenon_H20. % 5.23/5.45 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 5.23/5.45 exact (zenon_H22 zenon_H1d). % 5.23/5.45 generalize (ci2 zenon_TA_u). zenon_intro zenon_H23. % 5.23/5.45 generalize (zenon_H23 zenon_TB_x). zenon_intro zenon_H24. % 5.23/5.45 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H22 | zenon_intro zenon_H25 ]. % 5.23/5.45 exact (zenon_H22 zenon_H1d). % 5.23/5.45 apply zenon_H19. exists (line_connecting zenon_TA_u zenon_TB_x). apply NNPP. zenon_intro zenon_H26. % 5.23/5.45 apply (zenon_notimply_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27. % 5.23/5.45 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 5.23/5.45 exact (zenon_H2a zenon_H21). % 5.23/5.45 exact (zenon_H29 zenon_H25). % 5.23/5.45 Qed. % 5.23/5.45 % SZS output end Proof % 5.23/5.45 (* END-PROOF *) % 5.23/5.45 nodes searched: 675374 % 5.23/5.45 max branch formulas: 32184 % 5.23/5.45 proof nodes created: 6179 % 5.23/5.45 formulas created: 1126253 % 5.23/5.45 %------------------------------------------------------------------------------