%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO264+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 07:01:26 EDT 2022 % Result : Theorem 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO264+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 18 14:18:53 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.52 (* PROOF-FOUND *) % 0.19/0.52 % SZS status Theorem % 0.19/0.52 (* BEGIN-PROOF *) % 0.19/0.52 % SZS output start Proof % 0.19/0.52 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting A B))->(((right_apart_point D (line_connecting B C))/\(right_apart_point D (line_connecting C A)))->(left_apart_point D (line_connecting A B)))))))). % 0.19/0.52 Proof. % 0.19/0.52 apply NNPP. intro zenon_G. % 0.19/0.52 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting A B))->(((right_apart_point D (line_connecting B C))/\(right_apart_point D (line_connecting C A)))->(left_apart_point D (line_connecting A B)))))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.19/0.52 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.19/0.52 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, ((left_apart_point C (line_connecting zenon_TA_bm B))->(((right_apart_point D (line_connecting B C))/\(right_apart_point D (line_connecting C zenon_TA_bm)))->(left_apart_point D (line_connecting zenon_TA_bm B))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.19/0.52 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.19/0.52 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, ((left_apart_point C (line_connecting zenon_TA_bm zenon_TB_bp))->(((right_apart_point D (line_connecting zenon_TB_bp C))/\(right_apart_point D (line_connecting C zenon_TA_bm)))->(left_apart_point D (line_connecting zenon_TA_bm zenon_TB_bp)))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.19/0.52 elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d. % 0.19/0.52 apply (zenon_notallex_s (fun D : zenon_U => ((left_apart_point zenon_TC_bs (line_connecting zenon_TA_bm zenon_TB_bp))->(((right_apart_point D (line_connecting zenon_TB_bp zenon_TC_bs))/\(right_apart_point D (line_connecting zenon_TC_bs zenon_TA_bm)))->(left_apart_point D (line_connecting zenon_TA_bm zenon_TB_bp))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.19/0.52 elim zenon_H2e. zenon_intro zenon_TD_bv. zenon_intro zenon_H30. % 0.19/0.52 apply (zenon_notimply_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.19/0.52 apply (zenon_notimply_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.19/0.52 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H36. zenon_intro zenon_H35. % 0.19/0.52 generalize (a2_defns zenon_TD_bv). zenon_intro zenon_H37. % 0.19/0.52 generalize (zenon_H37 (line_connecting zenon_TB_bp zenon_TC_bs)). zenon_intro zenon_H38. % 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3b; zenon_intro zenon_H3a | zenon_intro zenon_H36; zenon_intro zenon_H39 ]. % 0.19/0.52 exact (zenon_H3b zenon_H36). % 0.19/0.52 generalize (ax10_basics zenon_TD_bv). zenon_intro zenon_H3c. % 0.19/0.52 generalize (zenon_H3c (line_connecting zenon_TB_bp zenon_TC_bs)). zenon_intro zenon_H3d. % 0.19/0.52 apply (zenon_notor_s _ _ zenon_H3d). zenon_intro zenon_H3e. zenon_intro zenon_H3a. % 0.19/0.52 exact (zenon_H3a zenon_H39). % 0.19/0.52 Qed. % 0.19/0.52 % SZS output end Proof % 0.19/0.52 (* END-PROOF *) % 0.19/0.52 nodes searched: 579 % 0.19/0.52 max branch formulas: 514 % 0.19/0.52 proof nodes created: 20 % 0.19/0.52 formulas created: 4382 % 0.19/0.52 %------------------------------------------------------------------------------