%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO245+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 07:01:16 EDT 2022 % Result : Theorem 0.18s 0.53s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GEO245+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n025.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 11:01:43 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.53 (* PROOF-FOUND *) % 0.18/0.53 % SZS status Theorem % 0.18/0.53 (* BEGIN-PROOF *) % 0.18/0.53 % SZS output start Proof % 0.18/0.53 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((left_apart_point C (line_connecting A B))->(right_apart_point B (line_connecting A C))))))). % 0.18/0.53 Proof. % 0.18/0.53 apply NNPP. intro zenon_G. % 0.18/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, ((distinct_points A B)->((left_apart_point C (line_connecting A B))->(right_apart_point B (line_connecting A C))))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.18/0.53 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.18/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((distinct_points zenon_TA_bm B)->((left_apart_point C (line_connecting zenon_TA_bm B))->(right_apart_point B (line_connecting zenon_TA_bm C)))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.18/0.53 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.18/0.53 apply (zenon_notallex_s (fun C : zenon_U => ((distinct_points zenon_TA_bm zenon_TB_bp)->((left_apart_point C (line_connecting zenon_TA_bm zenon_TB_bp))->(right_apart_point zenon_TB_bp (line_connecting zenon_TA_bm C))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.18/0.53 elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d. % 0.18/0.53 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.18/0.53 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.18/0.53 generalize (ax10_basics zenon_TC_bs). zenon_intro zenon_H32. % 0.18/0.53 generalize (zenon_H32 (line_connecting zenon_TA_bm zenon_TB_bp)). zenon_intro zenon_H33. % 0.18/0.53 apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.18/0.53 exact (zenon_H35 zenon_H31). % 0.18/0.53 Qed. % 0.18/0.53 % SZS output end Proof % 0.18/0.53 (* END-PROOF *) % 0.18/0.53 nodes searched: 1348 % 0.18/0.53 max branch formulas: 883 % 0.18/0.53 proof nodes created: 68 % 0.18/0.53 formulas created: 7954 % 0.18/0.53 %------------------------------------------------------------------------------