%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 06:24:28 AM UTC 2026 % Result : Theorem 0.12s 0.44s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_zenon %s %d % 0.07/0.35 % Computer : n016.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Mon Sep 7 14:27:02 UTC 2026 % 0.07/0.35 % CPUTime : % 0.12/0.44 (* PROOF-FOUND *) % 0.12/0.44 % SZS status Theorem % 0.12/0.44 (* BEGIN-PROOF *) % 0.12/0.44 % SZS output start Proof % 0.12/0.44 Theorem odrl613 : (wf (lt) (v600) (v0) (v1200)). % 0.12/0.44 Proof. % 0.12/0.44 apply NNPP. intro zenon_G. % 0.12/0.44 apply (zenon_and_s _ _ distinct). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.12/0.44 generalize (wf_lt (v600)). zenon_intro zenon_H3e. % 0.12/0.44 generalize (zenon_H3e (v0)). zenon_intro zenon_H3f. % 0.12/0.44 generalize (zenon_H3f (v1200)). zenon_intro zenon_H40. % 0.12/0.44 apply (zenon_equiv_s _ _ zenon_H40); [ zenon_intro zenon_G; zenon_intro zenon_H43 | zenon_intro zenon_H42; zenon_intro zenon_H41 ]. % 0.12/0.44 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.12/0.44 generalize (leq_def (v0)). zenon_intro zenon_H46. % 0.12/0.44 generalize (zenon_H46 (v600)). zenon_intro zenon_H47. % 0.12/0.44 apply (zenon_equiv_s _ _ zenon_H47); [ zenon_intro zenon_H45; zenon_intro zenon_H4a | zenon_intro zenon_H49; zenon_intro zenon_H48 ]. % 0.12/0.44 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4b. zenon_intro zenon_H3d. % 0.12/0.44 exact (zenon_H4b ord_v0_v600). % 0.12/0.44 exact (zenon_H45 zenon_H49). % 0.12/0.44 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.12/0.44 generalize (leq_def (v600)). zenon_intro zenon_H4e. % 0.12/0.44 generalize (zenon_H4e (v1200)). zenon_intro zenon_H4f. % 0.12/0.44 apply (zenon_equiv_s _ _ zenon_H4f); [ zenon_intro zenon_H4d; zenon_intro zenon_H52 | zenon_intro zenon_H51; zenon_intro zenon_H50 ]. % 0.12/0.44 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53. % 0.12/0.44 exact (zenon_H54 ord_v600_v1200). % 0.12/0.44 exact (zenon_H4d zenon_H51). % 0.12/0.44 apply zenon_H4c. zenon_intro zenon_H55. % 0.12/0.44 apply zenon_H3d. apply sym_equal. exact zenon_H55. % 0.12/0.44 exact (zenon_G zenon_H42). % 0.12/0.44 Qed. % 0.12/0.44 % SZS output end Proof % 0.12/0.44 (* END-PROOF *) % 0.12/0.44 nodes searched: 269 % 0.12/0.44 max branch formulas: 287 % 0.12/0.44 proof nodes created: 23 % 0.12/0.44 formulas created: 2789 % 0.12/0.44 %------------------------------------------------------------------------------