%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT087+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 0.13s 0.42s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.03 % 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 14:22:09 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.42 (* PROOF-FOUND *) % 0.13/0.42 % SZS status Theorem % 0.13/0.42 (* BEGIN-PROOF *) % 0.13/0.42 % SZS output start Proof % 0.13/0.42 Theorem odrl500 : (exists X : zenon_U, (in_lopen X (v0) (v600))). % 0.13/0.42 Proof. % 0.13/0.42 assert (zenon_L1_ : (~((v600) = (v600))) -> False). % 0.13/0.42 do 0 intro. intros zenon_H23. % 0.13/0.42 apply zenon_H23. apply refl_equal. % 0.13/0.42 (* end of lemma zenon_L1_ *) % 0.13/0.42 apply NNPP. intro zenon_G. % 0.13/0.42 apply zenon_G. exists (v600). apply NNPP. zenon_intro zenon_H24. % 0.13/0.42 generalize (in_lopen (v600)). zenon_intro zenon_H25. % 0.13/0.42 generalize (zenon_H25 (v0)). zenon_intro zenon_H26. % 0.13/0.42 generalize (zenon_H26 (v600)). zenon_intro zenon_H27. % 0.13/0.42 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H24; zenon_intro zenon_H2a | zenon_intro zenon_H29; zenon_intro zenon_H28 ]. % 0.13/0.42 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.13/0.42 exact (zenon_H2c ord_v0_v600). % 0.13/0.42 generalize (leq_def (v600)). zenon_intro zenon_H2d. % 0.13/0.42 generalize (zenon_H2d (v600)). zenon_intro zenon_H2e. % 0.13/0.42 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H2b; zenon_intro zenon_H31 | zenon_intro zenon_H30; zenon_intro zenon_H2f ]. % 0.13/0.42 apply (zenon_notor_s _ _ zenon_H31). zenon_intro zenon_H32. zenon_intro zenon_H23. % 0.13/0.42 apply zenon_H23. apply refl_equal. % 0.13/0.42 exact (zenon_H2b zenon_H30). % 0.13/0.42 exact (zenon_H24 zenon_H29). % 0.13/0.42 Qed. % 0.13/0.42 % SZS output end Proof % 0.13/0.42 (* END-PROOF *) % 0.13/0.42 nodes searched: 95 % 0.13/0.42 max branch formulas: 113 % 0.13/0.42 proof nodes created: 11 % 0.13/0.42 formulas created: 1062 % 0.13/0.42 %------------------------------------------------------------------------------