%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 06:33:22 EDT 2022 % Result : Theorem 0.77s 0.99s % Output : Proof 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n010.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jul 10 09:56:15 EDT 2022 % 0.12/0.34 % CPUTime : % 0.77/0.99 (* PROOF-FOUND *) % 0.77/0.99 % SZS status Theorem % 0.77/0.99 (* BEGIN-PROOF *) % 0.77/0.99 % SZS output start Proof % 0.77/0.99 Theorem thI17 : (forall A : zenon_U, (equal_set (intersection A (empty_set)) (empty_set))). % 0.77/0.99 Proof. % 0.77/0.99 apply NNPP. intro zenon_G. % 0.77/0.99 apply (zenon_notallex_s (fun A : zenon_U => (equal_set (intersection A (empty_set)) (empty_set))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.77/0.99 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.77/0.99 generalize (equal_set (intersection zenon_TA_n (empty_set))). zenon_intro zenon_Hf. % 0.77/0.99 generalize (zenon_Hf (empty_set)). zenon_intro zenon_H10. % 0.77/0.99 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_He; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ]. % 0.77/0.99 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.77/0.99 generalize (subset (intersection zenon_TA_n (empty_set))). zenon_intro zenon_H16. % 0.77/0.99 generalize (zenon_H16 (empty_set)). zenon_intro zenon_H17. % 0.77/0.99 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H15; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ]. % 0.77/0.99 apply (zenon_notallex_s (fun X : zenon_U => ((member X (intersection zenon_TA_n (empty_set)))->(member X (empty_set)))) zenon_H1a); [ zenon_intro zenon_H1b; idtac ]. % 0.77/0.99 elim zenon_H1b. zenon_intro zenon_TX_bc. zenon_intro zenon_H1d. % 0.77/0.99 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.77/0.99 generalize (intersection zenon_TX_bc). zenon_intro zenon_H20. % 0.77/0.99 generalize (zenon_H20 zenon_TA_n). zenon_intro zenon_H21. % 0.77/0.99 generalize (zenon_H21 (empty_set)). zenon_intro zenon_H22. % 0.77/0.99 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H25; zenon_intro zenon_H24 | zenon_intro zenon_H1f; zenon_intro zenon_H23 ]. % 0.77/0.99 exact (zenon_H25 zenon_H1f). % 0.77/0.99 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.77/0.99 exact (zenon_H1e zenon_H26). % 0.77/0.99 exact (zenon_H15 zenon_H19). % 0.77/0.99 generalize (subset (empty_set)). zenon_intro zenon_H28. % 0.77/0.99 generalize (zenon_H28 (intersection zenon_TA_n (empty_set))). zenon_intro zenon_H29. % 0.77/0.99 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H14; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H2a ]. % 0.77/0.99 apply (zenon_notallex_s (fun X : zenon_U => ((member X (empty_set))->(member X (intersection zenon_TA_n (empty_set))))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.77/0.99 elim zenon_H2d. zenon_intro zenon_TX_bu. zenon_intro zenon_H2f. % 0.77/0.99 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.77/0.99 generalize (empty_set zenon_TX_bu). zenon_intro zenon_H32. % 0.77/0.99 exact (zenon_H32 zenon_H31). % 0.77/0.99 exact (zenon_H14 zenon_H2b). % 0.77/0.99 exact (zenon_He zenon_H12). % 0.77/0.99 Qed. % 0.77/0.99 % SZS output end Proof % 0.77/0.99 (* END-PROOF *) % 0.77/0.99 nodes searched: 21671 % 0.77/0.99 max branch formulas: 5786 % 0.77/0.99 proof nodes created: 847 % 0.77/0.99 formulas created: 127535 % 0.77/0.99 %------------------------------------------------------------------------------