%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT114+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 0.25s 0.56s % Output : Proof 0.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT114+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.10/0.35 % Computer : n019.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Mon Sep 7 14:08:07 UTC 2026 % 0.10/0.36 % CPUTime : % 0.25/0.56 (* PROOF-FOUND *) % 0.25/0.56 % SZS status Unsatisfiable % 0.25/0.56 (* BEGIN-PROOF *) % 0.25/0.56 % SZS output start Proof % 0.25/0.56 Theorem zenon_thm : False. % 0.25/0.56 Proof. % 0.25/0.56 assert (zenon_L1_ : forall (zenon_TN_v : zenon_U), (forall M : zenon_U, (((no_right M)/\((part_of M (rho1))/\(cnt M (some_action) (some_target))))->(M = zenon_TN_v))) -> (~(zenon_TN_v = (n1))) -> False). % 0.25/0.56 do 1 intro. intros zenon_H13 zenon_H14. % 0.25/0.56 generalize (zenon_H13 (n1)). zenon_intro zenon_H16. % 0.25/0.56 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.25/0.56 exact (zenon_H1a no_right_n1). % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.25/0.56 exact (zenon_H1c partof_n1). % 0.25/0.56 exact (zenon_H1b cnt_n1). % 0.25/0.56 apply zenon_H14. apply sym_equal. exact zenon_H17. % 0.25/0.56 (* end of lemma zenon_L1_ *) % 0.25/0.56 generalize (ax_correlativity_permission (rho1)). zenon_intro zenon_H1d. % 0.25/0.56 generalize (zenon_H1d (some_action)). zenon_intro zenon_H1e. % 0.25/0.56 generalize (zenon_H1e (some_target)). zenon_intro zenon_H1f. % 0.25/0.56 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.25/0.56 exact (zenon_H21 odrl_rho1). % 0.25/0.56 apply (zenon_equiv_s _ _ zenon_H20); [ zenon_intro zenon_H25; zenon_intro zenon_H24 | zenon_intro zenon_H23; zenon_intro zenon_H22 ]. % 0.25/0.56 apply zenon_H25. exists (l). apply NNPP. zenon_intro zenon_H26. % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.25/0.56 exact (zenon_H28 permission_l). % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.25/0.56 exact (zenon_H2a partof_l). % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.25/0.56 exact (zenon_H2c cnt_l). % 0.25/0.56 exact (zenon_H2b perm_l_unique). % 0.25/0.56 elim zenon_H22. zenon_intro zenon_TN_v. zenon_intro zenon_H2d. % 0.25/0.56 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.25/0.56 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.25/0.56 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H13. % 0.25/0.56 generalize (zenon_H13 (n2)). zenon_intro zenon_H33. % 0.25/0.56 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.25/0.56 exact (zenon_H37 no_right_n2). % 0.25/0.56 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.25/0.56 exact (zenon_H39 partof_n2). % 0.25/0.56 exact (zenon_H38 cnt_n2). % 0.25/0.56 elim (classic ((n2) = (n2))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 0.25/0.56 cut (((n2) = (n2)) = ((n1) = (n2))). % 0.25/0.56 intro zenon_D_pnotp. % 0.25/0.56 apply n1_neq_n2. % 0.25/0.56 rewrite <- zenon_D_pnotp. % 0.25/0.56 exact zenon_H3a. % 0.25/0.56 cut (((n2) = (n2))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 0.25/0.56 cut (((n2) = (n1))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 0.25/0.56 congruence. % 0.25/0.56 cut (((n2) = zenon_TN_v) = ((n2) = (n1))). % 0.25/0.56 intro zenon_D_pnotp. % 0.25/0.56 apply zenon_H3c. % 0.25/0.56 rewrite <- zenon_D_pnotp. % 0.25/0.56 exact zenon_H34. % 0.25/0.56 cut ((zenon_TN_v = (n1))); [idtac | apply NNPP; zenon_intro zenon_H14]. % 0.25/0.56 cut (((n2) = (n2))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 0.25/0.56 congruence. % 0.25/0.56 apply zenon_H3b. apply refl_equal. % 0.25/0.56 apply (zenon_L1_ zenon_TN_v); trivial. % 0.25/0.56 apply zenon_H3b. apply refl_equal. % 0.25/0.56 apply zenon_H3b. apply refl_equal. % 0.25/0.56 Qed. % 0.25/0.56 % SZS output end Proof % 0.25/0.56 (* END-PROOF *) % 0.25/0.56 nodes searched: 821 % 0.25/0.56 max branch formulas: 348 % 0.25/0.56 proof nodes created: 88 % 0.25/0.56 formulas created: 3354 % 0.25/0.56 %------------------------------------------------------------------------------