%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:24:27 AM UTC 2026 % Result : Theorem 0.14s 0.42s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_zenon %s %d % 0.09/0.36 % Computer : n003.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 14:23:09 UTC 2026 % 0.09/0.36 % CPUTime : % 0.14/0.42 (* PROOF-FOUND *) % 0.14/0.42 % SZS status Theorem % 0.14/0.42 (* BEGIN-PROOF *) % 0.14/0.42 % SZS output start Proof % 0.14/0.42 Theorem odrl509 : (exists X : zenon_U, ((less (v200) X)/\(in_lopen X (v0) (v400)))). % 0.14/0.42 Proof. % 0.14/0.42 assert (zenon_L1_ : (~((v400) = (v400))) -> False). % 0.14/0.42 do 0 intro. intros zenon_H28. % 0.14/0.42 apply zenon_H28. apply refl_equal. % 0.14/0.42 (* end of lemma zenon_L1_ *) % 0.14/0.42 apply NNPP. intro zenon_G. % 0.14/0.42 apply zenon_G. exists (v400). apply NNPP. zenon_intro zenon_H29. % 0.14/0.42 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.14/0.42 exact (zenon_H2b ord_v200_v400). % 0.14/0.42 generalize (in_lopen (v400)). zenon_intro zenon_H2c. % 0.14/0.42 generalize (zenon_H2c (v0)). zenon_intro zenon_H2d. % 0.14/0.42 generalize (zenon_H2d (v400)). zenon_intro zenon_H2e. % 0.14/0.42 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H2a; zenon_intro zenon_H31 | zenon_intro zenon_H30; zenon_intro zenon_H2f ]. % 0.14/0.42 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.14/0.42 exact (zenon_H33 ord_v0_v400). % 0.14/0.42 generalize (leq_def (v400)). zenon_intro zenon_H34. % 0.14/0.42 generalize (zenon_H34 (v400)). zenon_intro zenon_H35. % 0.14/0.42 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H32; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ]. % 0.14/0.42 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H39. zenon_intro zenon_H28. % 0.14/0.42 apply zenon_H28. apply refl_equal. % 0.14/0.42 exact (zenon_H32 zenon_H37). % 0.14/0.42 exact (zenon_H2a zenon_H30). % 0.14/0.42 Qed. % 0.14/0.42 % SZS output end Proof % 0.14/0.42 (* END-PROOF *) % 0.14/0.42 nodes searched: 131 % 0.14/0.42 max branch formulas: 146 % 0.14/0.42 proof nodes created: 13 % 0.14/0.42 formulas created: 1392 % 0.14/0.42 %------------------------------------------------------------------------------