%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 06:24:23 AM UTC 2026 % Result : Theorem 0.11s 0.46s % Output : Proof 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : run_zenon %s %d % 0.11/0.37 % Computer : n010.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 13:21:26 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.46 (* PROOF-FOUND *) % 0.11/0.46 % SZS status Theorem % 0.11/0.46 (* BEGIN-PROOF *) % 0.11/0.46 % SZS output start Proof % 0.11/0.46 Theorem background_assumption_1 : (forall X : zenon_U, (forall T : zenon_U, (~(dissimilar X T T)))). % 0.11/0.46 Proof. % 0.11/0.46 apply NNPP. intro zenon_G. % 0.11/0.46 apply (zenon_notallex_s (fun X : zenon_U => (forall T : zenon_U, (~(dissimilar X T T)))) zenon_G); [ zenon_intro zenon_H8; idtac ]. % 0.11/0.46 elim zenon_H8. zenon_intro zenon_TX_j. zenon_intro zenon_Ha. % 0.11/0.46 apply (zenon_notallex_s (fun T : zenon_U => (~(dissimilar zenon_TX_j T T))) zenon_Ha); [ zenon_intro zenon_Hb; idtac ]. % 0.11/0.46 elim zenon_Hb. zenon_intro zenon_TT_m. zenon_intro zenon_Hd. % 0.11/0.46 apply zenon_Hd. zenon_intro zenon_He. % 0.11/0.46 generalize (definition_2 zenon_TX_j). zenon_intro zenon_Hf. % 0.11/0.46 generalize (zenon_Hf zenon_TT_m). zenon_intro zenon_H10. % 0.11/0.46 generalize (zenon_H10 zenon_TT_m). zenon_intro zenon_H11. % 0.11/0.46 apply (zenon_equiv_s _ _ zenon_H11); [ zenon_intro zenon_H14; zenon_intro zenon_H13 | zenon_intro zenon_He; zenon_intro zenon_H12 ]. % 0.11/0.46 exact (zenon_H14 zenon_He). % 0.11/0.46 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.11/0.46 apply (zenon_notequiv_s _ _ zenon_H15); [ zenon_intro zenon_H17; zenon_intro zenon_H18 | zenon_intro zenon_H18; zenon_intro zenon_H17 ]. % 0.11/0.46 exact (zenon_H17 zenon_H18). % 0.11/0.46 exact (zenon_H17 zenon_H18). % 0.11/0.46 Qed. % 0.11/0.46 % SZS output end Proof % 0.11/0.46 (* END-PROOF *) % 0.11/0.46 nodes searched: 10 % 0.11/0.46 max branch formulas: 13 % 0.11/0.46 proof nodes created: 8 % 0.11/0.46 formulas created: 173 % 0.11/0.46 %------------------------------------------------------------------------------