%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 07:01:18 EDT 2022 % Result : Theorem 0.14s 0.43s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0. % 0.09/0.10 % Command : run_zenon %s %d % 0.10/0.29 % Computer : n032.cluster.edu % 0.10/0.29 % Model : x86_64 x86_64 % 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.29 % Memory : 8042.1875MB % 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.29 % CPULimit : 300 % 0.10/0.29 % WCLimit : 600 % 0.10/0.29 % DateTime : Fri Jun 17 18:02:31 EDT 2022 % 0.10/0.29 % CPUTime : % 0.14/0.43 (* PROOF-FOUND *) % 0.14/0.43 % SZS status Theorem % 0.14/0.43 (* BEGIN-PROOF *) % 0.14/0.43 % SZS output start Proof % 0.14/0.43 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((apart_point_and_line A L)/\(incident_point_and_line B (parallel_lines L A)))->(apart_point_and_line B L))))). % 0.14/0.43 Proof. % 0.14/0.43 apply NNPP. intro zenon_G. % 0.14/0.43 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((apart_point_and_line A L)/\(incident_point_and_line B (parallel_lines L A)))->(apart_point_and_line B L))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.14/0.43 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.14/0.43 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((apart_point_and_line zenon_TA_bm L)/\(incident_point_and_line B (parallel_lines L zenon_TA_bm)))->(apart_point_and_line B L)))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.14/0.43 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.14/0.43 apply (zenon_notallex_s (fun L : zenon_U => (((apart_point_and_line zenon_TA_bm L)/\(incident_point_and_line zenon_TB_bp (parallel_lines L zenon_TA_bm)))->(apart_point_and_line zenon_TB_bp L))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.14/0.43 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d. % 0.14/0.43 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.14/0.43 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.14/0.43 generalize (a6_defns zenon_TA_bm). zenon_intro zenon_H32. % 0.14/0.43 generalize (zenon_H32 zenon_TL_bs). zenon_intro zenon_H33. % 0.14/0.43 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H31; zenon_intro zenon_H34 ]. % 0.14/0.43 exact (zenon_H36 zenon_H31). % 0.14/0.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.14/0.43 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H39. % 0.14/0.43 generalize (zenon_H39 zenon_TL_bs). zenon_intro zenon_H3a. % 0.14/0.43 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.14/0.43 exact (zenon_H3c zenon_H38). % 0.14/0.43 generalize (a2_defns zenon_TA_bm). zenon_intro zenon_H3d. % 0.14/0.43 generalize (zenon_H3d zenon_TL_bs). zenon_intro zenon_H3e. % 0.14/0.43 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H40; zenon_intro zenon_H3b | zenon_intro zenon_H37; zenon_intro zenon_H3f ]. % 0.14/0.43 exact (zenon_H40 zenon_H37). % 0.14/0.43 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H39. % 0.14/0.43 generalize (zenon_H39 zenon_TL_bs). zenon_intro zenon_H3a. % 0.14/0.43 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.14/0.43 exact (zenon_H3b zenon_H3f). % 0.14/0.43 Qed. % 0.14/0.43 % SZS output end Proof % 0.14/0.43 (* END-PROOF *) % 0.14/0.43 nodes searched: 795 % 0.14/0.43 max branch formulas: 382 % 0.14/0.43 proof nodes created: 57 % 0.14/0.43 formulas created: 3804 % 0.14/0.43 %------------------------------------------------------------------------------