%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO256+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 07:01:22 EDT 2022 % Result : Theorem 0.21s 0.56s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : GEO256+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.13/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n007.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jun 18 07:07:28 EDT 2022 % 0.14/0.35 % CPUTime : % 0.21/0.56 (* PROOF-FOUND *) % 0.21/0.56 % SZS status Theorem % 0.21/0.56 (* BEGIN-PROOF *) % 0.21/0.56 % SZS output start Proof % 0.21/0.56 Theorem con : (forall L : zenon_U, (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((distinct_points A C)/\((distinct_points B C)/\((~(apart_point_and_line C L))/\(left_apart_point D L))))->((before_on_line L A B)->((before_on_line L A C)\/(before_on_line L C B))))))))). % 0.21/0.56 Proof. % 0.21/0.56 apply NNPP. intro zenon_G. % 0.21/0.56 apply (zenon_notallex_s (fun L : zenon_U => (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((distinct_points A C)/\((distinct_points B C)/\((~(apart_point_and_line C L))/\(left_apart_point D L))))->((before_on_line L A B)->((before_on_line L A C)\/(before_on_line L C B))))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.21/0.56 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22. % 0.21/0.56 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((distinct_points A C)/\((distinct_points B C)/\((~(apart_point_and_line C zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh A B)->((before_on_line zenon_TL_bh A C)\/(before_on_line zenon_TL_bh C B)))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.21/0.56 elim zenon_H23. zenon_intro zenon_TA_bk. zenon_intro zenon_H25. % 0.21/0.56 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((distinct_points zenon_TA_bk C)/\((distinct_points B C)/\((~(apart_point_and_line C zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh zenon_TA_bk B)->((before_on_line zenon_TL_bh zenon_TA_bk C)\/(before_on_line zenon_TL_bh C B))))))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.21/0.56 elim zenon_H26. zenon_intro zenon_TB_bn. zenon_intro zenon_H28. % 0.21/0.56 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((distinct_points zenon_TA_bk C)/\((distinct_points zenon_TB_bn C)/\((~(apart_point_and_line C zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh zenon_TA_bk zenon_TB_bn)->((before_on_line zenon_TL_bh zenon_TA_bk C)\/(before_on_line zenon_TL_bh C zenon_TB_bn)))))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.21/0.56 elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b. % 0.21/0.56 apply (zenon_notallex_s (fun D : zenon_U => (((distinct_points zenon_TA_bk zenon_TC_bq)/\((distinct_points zenon_TB_bn zenon_TC_bq)/\((~(apart_point_and_line zenon_TC_bq zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh zenon_TA_bk zenon_TB_bn)->((before_on_line zenon_TL_bh zenon_TA_bk zenon_TC_bq)\/(before_on_line zenon_TL_bh zenon_TC_bq zenon_TB_bn))))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ]. % 0.21/0.56 elim zenon_H2c. zenon_intro zenon_TD_bt. zenon_intro zenon_H2e. % 0.21/0.56 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.21/0.56 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.21/0.56 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.21/0.56 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 0.21/0.56 generalize (oag10 zenon_TD_bt). zenon_intro zenon_H37. % 0.21/0.56 generalize (zenon_H37 zenon_TL_bh). zenon_intro zenon_H38. % 0.21/0.56 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.21/0.56 exact (zenon_H3a zenon_H35). % 0.21/0.56 Qed. % 0.21/0.56 % SZS output end Proof % 0.21/0.56 (* END-PROOF *) % 0.21/0.56 nodes searched: 1014 % 0.21/0.56 max branch formulas: 760 % 0.21/0.56 proof nodes created: 77 % 0.21/0.56 formulas created: 7488 % 0.21/0.56 %------------------------------------------------------------------------------