%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO243+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 07:01:15 EDT 2022 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO243+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n024.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jun 18 16:34:17 EDT 2022 % 0.12/0.34 % CPUTime : % 0.37/0.56 (* PROOF-FOUND *) % 0.37/0.56 % SZS status Theorem % 0.37/0.56 (* BEGIN-PROOF *) % 0.37/0.56 % SZS output start Proof % 0.37/0.56 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))->(left_apart_point C (reverse_line (line_connecting B A)))))))). % 0.37/0.56 Proof. % 0.37/0.56 apply NNPP. intro zenon_G. % 0.37/0.56 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))->(left_apart_point C (reverse_line (line_connecting B A)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.37/0.56 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 0.37/0.56 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((distinct_points zenon_TA_bh B)->((left_apart_point C (line_connecting zenon_TA_bh B))->(left_apart_point C (reverse_line (line_connecting B zenon_TA_bh))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.37/0.56 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 0.37/0.56 apply (zenon_notallex_s (fun C : zenon_U => ((distinct_points zenon_TA_bh zenon_TB_bk)->((left_apart_point C (line_connecting zenon_TA_bh zenon_TB_bk))->(left_apart_point C (reverse_line (line_connecting zenon_TB_bk zenon_TA_bh)))))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.37/0.56 elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28. % 0.37/0.56 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.37/0.56 apply (zenon_notimply_s _ _ zenon_H29). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.37/0.56 generalize (oag10 zenon_TC_bn). zenon_intro zenon_H2d. % 0.37/0.56 generalize (zenon_H2d (line_connecting zenon_TA_bh zenon_TB_bk)). zenon_intro zenon_H2e. % 0.37/0.56 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.37/0.56 exact (zenon_H30 zenon_H2c). % 0.37/0.56 Qed. % 0.37/0.56 % SZS output end Proof % 0.37/0.56 (* END-PROOF *) % 0.37/0.56 nodes searched: 1699 % 0.37/0.56 max branch formulas: 1124 % 0.37/0.56 proof nodes created: 70 % 0.37/0.56 formulas created: 11188 % 0.37/0.56 %------------------------------------------------------------------------------