%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n031.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 06:24:29 AM UTC 2026 % Result : Unsatisfiable 0.10s 0.44s % Output : Proof 0.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.03 % Command : run_zenon %s %d % 0.08/0.35 % Computer : n031.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 14:45:41 UTC 2026 % 0.08/0.35 % CPUTime : % 0.10/0.44 (* PROOF-FOUND *) % 0.10/0.44 % SZS status Unsatisfiable % 0.10/0.44 (* BEGIN-PROOF *) % 0.10/0.44 % SZS output start Proof % 0.10/0.44 Theorem zenon_thm : False. % 0.10/0.44 Proof. % 0.10/0.44 elim (classic ((v800) = (v800))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 0.10/0.44 cut (((v800) = (v800)) = ((v600) = (v800))). % 0.10/0.44 intro zenon_D_pnotp. % 0.10/0.44 apply distinct. % 0.10/0.44 rewrite <- zenon_D_pnotp. % 0.10/0.44 exact zenon_H21. % 0.10/0.44 cut (((v800) = (v800))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 0.10/0.44 cut (((v800) = (v600))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 0.10/0.44 congruence. % 0.10/0.44 cut (((w) = (v600)) = ((v800) = (v600))). % 0.10/0.44 intro zenon_D_pnotp. % 0.10/0.44 apply zenon_H23. % 0.10/0.44 rewrite <- zenon_D_pnotp. % 0.10/0.44 exact wit_eq1. % 0.10/0.44 cut (((v600) = (v600))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 0.10/0.44 cut (((w) = (v800))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 0.10/0.44 congruence. % 0.10/0.44 exact (zenon_H25 wit_eq2). % 0.10/0.44 apply zenon_H24. apply refl_equal. % 0.10/0.44 apply zenon_H22. apply refl_equal. % 0.10/0.44 apply zenon_H22. apply refl_equal. % 0.10/0.44 Qed. % 0.10/0.44 % SZS output end Proof % 0.10/0.44 (* END-PROOF *) % 0.10/0.44 nodes searched: 52 % 0.10/0.44 max branch formulas: 75 % 0.10/0.44 proof nodes created: 3 % 0.10/0.44 formulas created: 778 % 0.10/0.44 %------------------------------------------------------------------------------