%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 0.01s 0.46s % Output : Proof 0.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.01/0.37 % Computer : n029.cluster.edu % 0.01/0.37 % Model : x86_64 x86_64 % 0.01/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.01/0.37 % Memory : 8046.5625MB % 0.01/0.37 % OS : Linux 6.8.0-71-generic % 0.01/0.37 % CPULimit : 300 % 0.01/0.37 % WCLimit : 300 % 0.01/0.37 % DateTime : Mon Sep 7 14:01:56 UTC 2026 % 0.01/0.37 % CPUTime : % 0.01/0.46 (* PROOF-FOUND *) % 0.01/0.46 % SZS status Theorem % 0.01/0.46 (* BEGIN-PROOF *) % 0.01/0.46 % SZS output start Proof % 0.01/0.46 Theorem odrl604 : (prec (v5) (v5) (o) (o)). % 0.01/0.46 Proof. % 0.01/0.46 assert (zenon_L1_ : (~((v5) = (v5))) -> False). % 0.01/0.46 do 0 intro. intros zenon_H30. % 0.01/0.46 apply zenon_H30. apply refl_equal. % 0.01/0.46 (* end of lemma zenon_L1_ *) % 0.01/0.46 apply NNPP. intro zenon_G. % 0.01/0.46 generalize (prec_oo (v5)). zenon_intro zenon_H31. % 0.01/0.46 generalize (zenon_H31 (v5)). zenon_intro zenon_H32. % 0.01/0.46 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_G; zenon_intro zenon_H35 | zenon_intro zenon_H34; zenon_intro zenon_H33 ]. % 0.01/0.46 generalize (leq_def (v5)). zenon_intro zenon_H36. % 0.01/0.46 generalize (zenon_H36 (v5)). zenon_intro zenon_H37. % 0.01/0.46 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H35; zenon_intro zenon_H39 | zenon_intro zenon_H33; zenon_intro zenon_H38 ]. % 0.01/0.46 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3a. zenon_intro zenon_H30. % 0.01/0.46 apply zenon_H30. apply refl_equal. % 0.01/0.46 exact (zenon_H35 zenon_H33). % 0.01/0.46 exact (zenon_G zenon_H34). % 0.01/0.46 Qed. % 0.01/0.46 % SZS output end Proof % 0.01/0.46 (* END-PROOF *) % 0.01/0.46 nodes searched: 115 % 0.01/0.46 max branch formulas: 149 % 0.01/0.46 proof nodes created: 13 % 0.01/0.46 formulas created: 1355 % 0.01/0.46 %------------------------------------------------------------------------------