%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT093+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 0.22s 0.52s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT093+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.09/0.35 % Computer : n028.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 14:03:32 UTC 2026 % 0.09/0.35 % CPUTime : % 0.22/0.52 (* PROOF-FOUND *) % 0.22/0.52 % SZS status Theorem % 0.22/0.52 (* BEGIN-PROOF *) % 0.22/0.52 % SZS output start Proof % 0.22/0.52 Theorem odrl644 : ((xone_verdict (compatible) (conflict)) = (compatible)). % 0.22/0.52 Proof. % 0.22/0.52 assert (zenon_L1_ : (~((compatible) = (compatible))) -> False). % 0.22/0.52 do 0 intro. intros zenon_H25. % 0.22/0.52 apply zenon_H25. apply refl_equal. % 0.22/0.52 (* end of lemma zenon_L1_ *) % 0.22/0.52 assert (zenon_L2_ : (~((conflict) = (conflict))) -> False). % 0.22/0.52 do 0 intro. intros zenon_H26. % 0.22/0.52 apply zenon_H26. apply refl_equal. % 0.22/0.52 (* end of lemma zenon_L2_ *) % 0.22/0.52 apply NNPP. intro zenon_G. % 0.22/0.52 generalize (xone_compat (compatible)). zenon_intro zenon_H27. % 0.22/0.52 generalize (zenon_H27 (conflict)). zenon_intro zenon_H28. % 0.22/0.52 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.22/0.52 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.22/0.52 exact (zenon_H2c compatible_is_verdict). % 0.22/0.52 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.22/0.52 exact (zenon_H2e conflict_is_verdict). % 0.22/0.52 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ]. % 0.22/0.52 apply zenon_H25. apply refl_equal. % 0.22/0.52 apply zenon_H26. apply refl_equal. % 0.22/0.52 exact (zenon_G zenon_H29). % 0.22/0.52 Qed. % 0.22/0.52 % SZS output end Proof % 0.22/0.52 (* END-PROOF *) % 0.22/0.52 nodes searched: 1958 % 0.22/0.52 max branch formulas: 749 % 0.22/0.52 proof nodes created: 85 % 0.22/0.52 formulas created: 9235 % 0.22/0.52 %------------------------------------------------------------------------------