%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0. % 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 06:24:22 AM UTC 2026 % Result : Theorem 0.21s 0.49s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.10/0.36 % Computer : n019.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 13:08:52 UTC 2026 % 0.13/0.36 % CPUTime : % 0.21/0.49 (* PROOF-FOUND *) % 0.21/0.49 % SZS status Theorem % 0.21/0.49 (* BEGIN-PROOF *) % 0.21/0.49 % SZS output start Proof % 0.21/0.49 Theorem lemma_4 : (forall X : zenon_U, (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\(greater (age X T) (age X T0)))->(greater (position X T) (position X T0)))))). % 0.21/0.49 Proof. % 0.21/0.49 apply NNPP. intro zenon_G. % 0.21/0.49 apply (zenon_notallex_s (fun X : zenon_U => (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\(greater (age X T) (age X T0)))->(greater (position X T) (position X T0)))))) zenon_G); [ zenon_intro zenon_H9; idtac ]. % 0.21/0.49 elim zenon_H9. zenon_intro zenon_TX_k. zenon_intro zenon_Hb. % 0.21/0.49 apply (zenon_notallex_s (fun T0 : zenon_U => (forall T : zenon_U, (((organization zenon_TX_k)/\(greater (age zenon_TX_k T) (age zenon_TX_k T0)))->(greater (position zenon_TX_k T) (position zenon_TX_k T0))))) zenon_Hb); [ zenon_intro zenon_Hc; idtac ]. % 0.21/0.49 elim zenon_Hc. zenon_intro zenon_TT0_n. zenon_intro zenon_He. % 0.21/0.49 apply (zenon_notallex_s (fun T : zenon_U => (((organization zenon_TX_k)/\(greater (age zenon_TX_k T) (age zenon_TX_k zenon_TT0_n)))->(greater (position zenon_TX_k T) (position zenon_TX_k zenon_TT0_n)))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.21/0.49 elim zenon_Hf. zenon_intro zenon_TT_q. zenon_intro zenon_H11. % 0.21/0.49 apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.21/0.49 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.21/0.49 generalize (assumption_6 zenon_TX_k). zenon_intro zenon_H16. % 0.21/0.49 generalize (zenon_H16 zenon_TT0_n). zenon_intro zenon_H17. % 0.21/0.49 generalize (zenon_H17 zenon_TT_q). zenon_intro zenon_H18. % 0.21/0.49 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.21/0.49 exact (zenon_H1a zenon_H15). % 0.21/0.49 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.21/0.49 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.21/0.49 generalize (assumption_8 zenon_TX_k). zenon_intro zenon_H1f. % 0.21/0.49 generalize (zenon_H1f zenon_TT0_n). zenon_intro zenon_H20. % 0.21/0.49 generalize (zenon_H20 zenon_TT_q). zenon_intro zenon_H21. % 0.21/0.49 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.21/0.49 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H1a | zenon_intro zenon_H24 ]. % 0.21/0.49 exact (zenon_H1a zenon_H15). % 0.21/0.49 exact (zenon_H24 zenon_H14). % 0.21/0.49 exact (zenon_H1e zenon_H22). % 0.21/0.49 exact (zenon_H12 zenon_H1d). % 0.21/0.49 Qed. % 0.21/0.49 % SZS output end Proof % 0.21/0.49 (* END-PROOF *) % 0.21/0.49 nodes searched: 846 % 0.21/0.49 max branch formulas: 164 % 0.21/0.49 proof nodes created: 48 % 0.21/0.49 formulas created: 1779 % 0.21/0.49 %------------------------------------------------------------------------------