%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO253+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 07:01:21 EDT 2022 % Result : Theorem 0.20s 0.55s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GEO253+3 : TPTP v8.1.0. Released v4.0.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n009.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jun 18 09:45:07 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.55 (* PROOF-FOUND *) % 0.20/0.55 % SZS status Theorem % 0.20/0.55 (* BEGIN-PROOF *) % 0.20/0.55 % SZS output start Proof % 0.20/0.55 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_through_point L A)))->(apart_point_and_line B L))))). % 0.20/0.55 Proof. % 0.20/0.55 apply NNPP. intro zenon_G. % 0.20/0.55 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_through_point L A)))->(apart_point_and_line B L))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.20/0.55 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.20/0.55 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_through_point L zenon_TA_bm)))->(apart_point_and_line B L)))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.20/0.55 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.20/0.55 apply (zenon_notallex_s (fun L : zenon_U => (((apart_point_and_line zenon_TA_bm L)/\(incident_point_and_line zenon_TB_bp (parallel_through_point L zenon_TA_bm)))->(apart_point_and_line zenon_TB_bp L))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.20/0.55 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d. % 0.20/0.55 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.20/0.55 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.20/0.55 generalize (a6_defns zenon_TA_bm). zenon_intro zenon_H32. % 0.20/0.55 generalize (zenon_H32 zenon_TL_bs). zenon_intro zenon_H33. % 0.20/0.55 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H31; zenon_intro zenon_H34 ]. % 0.20/0.55 exact (zenon_H36 zenon_H31). % 0.20/0.55 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.20/0.55 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H39. % 0.20/0.55 generalize (zenon_H39 zenon_TL_bs). zenon_intro zenon_H3a. % 0.20/0.55 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.20/0.55 exact (zenon_H3c zenon_H38). % 0.20/0.55 generalize (a2_defns zenon_TA_bm). zenon_intro zenon_H3d. % 0.20/0.55 generalize (zenon_H3d zenon_TL_bs). zenon_intro zenon_H3e. % 0.20/0.55 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H40; zenon_intro zenon_H3b | zenon_intro zenon_H37; zenon_intro zenon_H3f ]. % 0.20/0.55 exact (zenon_H40 zenon_H37). % 0.20/0.55 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H39. % 0.20/0.55 generalize (zenon_H39 zenon_TL_bs). zenon_intro zenon_H3a. % 0.20/0.55 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.20/0.55 exact (zenon_H3b zenon_H3f). % 0.20/0.55 Qed. % 0.20/0.55 % SZS output end Proof % 0.20/0.55 (* END-PROOF *) % 0.20/0.55 nodes searched: 795 % 0.20/0.55 max branch formulas: 382 % 0.20/0.55 proof nodes created: 57 % 0.20/0.55 formulas created: 3803 % 0.20/0.55 %------------------------------------------------------------------------------