%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 0.41s 0.58s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.16/0.36 % Computer : n014.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 600 % 0.16/0.36 % DateTime : Fri Jun 17 20:46:04 EDT 2022 % 0.16/0.37 % CPUTime : % 0.41/0.58 (* PROOF-FOUND *) % 0.41/0.58 % SZS status Theorem % 0.41/0.58 (* BEGIN-PROOF *) % 0.41/0.58 % SZS output start Proof % 0.41/0.58 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 B C))->(before_on_line L A C)))))))). % 0.41/0.58 Proof. % 0.41/0.58 apply NNPP. intro zenon_G. % 0.41/0.58 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 B C))->(before_on_line L A C)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.41/0.58 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22. % 0.41/0.58 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 B C))->(before_on_line zenon_TL_bh A C))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.41/0.58 elim zenon_H23. zenon_intro zenon_TA_bk. zenon_intro zenon_H25. % 0.41/0.58 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 B C))->(before_on_line zenon_TL_bh zenon_TA_bk C)))))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.41/0.58 elim zenon_H26. zenon_intro zenon_TB_bn. zenon_intro zenon_H28. % 0.41/0.58 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_TB_bn C))->(before_on_line zenon_TL_bh zenon_TA_bk C))))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.41/0.58 elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b. % 0.41/0.58 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_TB_bn zenon_TC_bq))->(before_on_line zenon_TL_bh zenon_TA_bk zenon_TC_bq)))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ]. % 0.41/0.58 elim zenon_H2c. zenon_intro zenon_TD_bt. zenon_intro zenon_H2e. % 0.41/0.58 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.41/0.58 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.41/0.58 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.41/0.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 0.41/0.58 generalize (oag10 zenon_TD_bt). zenon_intro zenon_H37. % 0.41/0.58 generalize (zenon_H37 zenon_TL_bh). zenon_intro zenon_H38. % 0.41/0.58 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.41/0.58 exact (zenon_H3a zenon_H35). % 0.41/0.58 Qed. % 0.41/0.58 % SZS output end Proof % 0.41/0.58 (* END-PROOF *) % 0.41/0.58 nodes searched: 902 % 0.41/0.58 max branch formulas: 695 % 0.41/0.58 proof nodes created: 71 % 0.41/0.58 formulas created: 6771 % 0.41/0.58 %------------------------------------------------------------------------------