%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 06:24:26 AM UTC 2026 % Result : Theorem 0.07s 0.40s % Output : Proof 0.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.02 % Command : run_zenon %s %d % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Mon Sep 7 14:12:41 UTC 2026 % 0.03/0.30 % CPUTime : % 0.07/0.40 (* PROOF-FOUND *) % 0.07/0.40 % SZS status Theorem % 0.07/0.40 (* BEGIN-PROOF *) % 0.07/0.40 % SZS output start Proof % 0.07/0.40 Theorem odrl327 : (exists X : zenon_U, (exists Y : zenon_U, ((less (v200) X)/\((in_open X (v0) (v800))/\((less (v100) Y)/\(in_open Y (v0) (v500))))))). % 0.07/0.40 Proof. % 0.07/0.40 assert (zenon_L1_ : (~(in_open (v200) (v0) (v500))) -> False). % 0.07/0.40 do 0 intro. intros zenon_H2d. % 0.07/0.40 generalize (in_open (v200)). zenon_intro zenon_H2e. % 0.07/0.40 generalize (zenon_H2e (v0)). zenon_intro zenon_H2f. % 0.07/0.40 generalize (zenon_H2f (v500)). zenon_intro zenon_H30. % 0.07/0.40 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H2d; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ]. % 0.07/0.40 apply (zenon_notand_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.07/0.40 exact (zenon_H35 ord_v0_v200). % 0.07/0.40 exact (zenon_H34 ord_v200_v500). % 0.07/0.40 exact (zenon_H2d zenon_H32). % 0.07/0.40 (* end of lemma zenon_L1_ *) % 0.07/0.40 apply NNPP. intro zenon_G. % 0.07/0.40 apply zenon_G. exists (v500). apply NNPP. zenon_intro zenon_H36. % 0.07/0.40 apply zenon_H36. exists (v200). apply NNPP. zenon_intro zenon_H37. % 0.07/0.40 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H34 | zenon_intro zenon_H38 ]. % 0.07/0.40 exact (zenon_H34 ord_v200_v500). % 0.07/0.40 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.07/0.40 generalize (in_open (v500)). zenon_intro zenon_H3b. % 0.07/0.40 generalize (zenon_H3b (v0)). zenon_intro zenon_H3c. % 0.07/0.40 generalize (zenon_H3c (v800)). zenon_intro zenon_H3d. % 0.07/0.40 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H3a; zenon_intro zenon_H40 | zenon_intro zenon_H3f; zenon_intro zenon_H3e ]. % 0.07/0.40 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.07/0.40 exact (zenon_H42 ord_v0_v500). % 0.07/0.40 exact (zenon_H41 ord_v500_v800). % 0.07/0.40 exact (zenon_H3a zenon_H3f). % 0.07/0.40 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H43 | zenon_intro zenon_H2d ]. % 0.07/0.40 exact (zenon_H43 ord_v100_v200). % 0.07/0.40 apply (zenon_L1_); trivial. % 0.07/0.40 Qed. % 0.07/0.40 % SZS output end Proof % 0.07/0.40 (* END-PROOF *) % 0.07/0.40 nodes searched: 6388 % 0.07/0.40 max branch formulas: 1011 % 0.07/0.40 proof nodes created: 56 % 0.07/0.40 formulas created: 9944 % 0.07/0.40 %------------------------------------------------------------------------------