%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO257+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 07:01:23 EDT 2022 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO257+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n009.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 00:47:52 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 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)/\((incident_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)))))))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 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)/\((incident_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_H25; idtac ]. % 0.19/0.51 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27. % 0.19/0.51 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)/\((incident_point_and_line C zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->(((before_on_line zenon_TL_bm A B)/\(before_on_line zenon_TL_bm B C))->(before_on_line zenon_TL_bm A C))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.19/0.51 elim zenon_H28. zenon_intro zenon_TA_bp. zenon_intro zenon_H2a. % 0.19/0.51 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((distinct_points zenon_TA_bp C)/\((distinct_points B C)/\((incident_point_and_line C zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->(((before_on_line zenon_TL_bm zenon_TA_bp B)/\(before_on_line zenon_TL_bm B C))->(before_on_line zenon_TL_bm zenon_TA_bp C)))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.19/0.51 elim zenon_H2b. zenon_intro zenon_TB_bs. zenon_intro zenon_H2d. % 0.19/0.51 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((distinct_points zenon_TA_bp C)/\((distinct_points zenon_TB_bs C)/\((incident_point_and_line C zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->(((before_on_line zenon_TL_bm zenon_TA_bp zenon_TB_bs)/\(before_on_line zenon_TL_bm zenon_TB_bs C))->(before_on_line zenon_TL_bm zenon_TA_bp C))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.19/0.51 elim zenon_H2e. zenon_intro zenon_TC_bv. zenon_intro zenon_H30. % 0.19/0.51 apply (zenon_notallex_s (fun D : zenon_U => (((distinct_points zenon_TA_bp zenon_TC_bv)/\((distinct_points zenon_TB_bs zenon_TC_bv)/\((incident_point_and_line zenon_TC_bv zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->(((before_on_line zenon_TL_bm zenon_TA_bp zenon_TB_bs)/\(before_on_line zenon_TL_bm zenon_TB_bs zenon_TC_bv))->(before_on_line zenon_TL_bm zenon_TA_bp zenon_TC_bv)))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.19/0.51 elim zenon_H31. zenon_intro zenon_TD_by. zenon_intro zenon_H33. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.19/0.51 generalize (ax10_basics zenon_TD_by). zenon_intro zenon_H3c. % 0.19/0.51 generalize (zenon_H3c zenon_TL_bm). zenon_intro zenon_H3d. % 0.19/0.51 apply (zenon_notor_s _ _ zenon_H3d). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.19/0.51 exact (zenon_H3f zenon_H3a). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 389 % 0.19/0.51 max branch formulas: 371 % 0.19/0.51 proof nodes created: 29 % 0.19/0.51 formulas created: 2931 % 0.19/0.51 %------------------------------------------------------------------------------