%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT071+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 06:24:26 AM UTC 2026 % Result : Theorem 0.18s 0.46s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.09/0.37 % Computer : n028.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Mon Sep 7 13:57:02 UTC 2026 % 0.09/0.37 % CPUTime : % 0.18/0.46 (* PROOF-FOUND *) % 0.18/0.46 % SZS status Theorem % 0.18/0.46 (* BEGIN-PROOF *) % 0.18/0.46 % SZS output start Proof % 0.18/0.46 Theorem no_false_conflict : (~(exists X : zenon_U, ((in_closed X (n0) (n5))/\(in_closed X (n10) (n15))))). % 0.18/0.46 Proof. % 0.18/0.46 apply NNPP. intro zenon_G. % 0.18/0.46 generalize (axis_conflict_def (n0)). zenon_intro zenon_H25. % 0.18/0.46 generalize (zenon_H25 (n5)). zenon_intro zenon_H26. % 0.18/0.46 generalize (zenon_H26 (n10)). zenon_intro zenon_H27. % 0.18/0.46 generalize (zenon_H27 (n15)). zenon_intro zenon_H28. % 0.18/0.46 apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H2a; zenon_intro zenon_G | zenon_intro conflict_hyp; zenon_intro zenon_H29 ]. % 0.18/0.46 exact (zenon_H2a conflict_hyp). % 0.18/0.46 exact (zenon_G zenon_H29). % 0.18/0.46 Qed. % 0.18/0.46 % SZS output end Proof % 0.18/0.46 (* END-PROOF *) % 0.18/0.46 nodes searched: 2 % 0.18/0.46 max branch formulas: 28 % 0.18/0.46 proof nodes created: 2 % 0.18/0.46 formulas created: 529 % 0.18/0.46 %------------------------------------------------------------------------------