%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 06:37:01 EDT 2022 % Result : Theorem 0.62s 0.85s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 03:01:20 EDT 2022 % 0.12/0.33 % CPUTime : % 0.62/0.85 (* PROOF-FOUND *) % 0.62/0.85 % SZS status Theorem % 0.62/0.85 (* BEGIN-PROOF *) % 0.62/0.85 % SZS output start Proof % 0.62/0.85 Theorem prove_th33 : (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, ((subset B C)->(subset (union B D) (union C D)))))). % 0.62/0.85 Proof. % 0.62/0.85 apply NNPP. intro zenon_G. % 0.62/0.85 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, ((subset B C)->(subset (union B D) (union C D)))))) zenon_G); [ zenon_intro zenon_H6; idtac ]. % 0.62/0.85 elim zenon_H6. zenon_intro zenon_TB_h. zenon_intro zenon_H8. % 0.62/0.85 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, ((subset zenon_TB_h C)->(subset (union zenon_TB_h D) (union C D))))) zenon_H8); [ zenon_intro zenon_H9; idtac ]. % 0.62/0.85 elim zenon_H9. zenon_intro zenon_TC_k. zenon_intro zenon_Hb. % 0.62/0.85 apply (zenon_notallex_s (fun D : zenon_U => ((subset zenon_TB_h zenon_TC_k)->(subset (union zenon_TB_h D) (union zenon_TC_k D)))) zenon_Hb); [ zenon_intro zenon_Hc; idtac ]. % 0.62/0.85 elim zenon_Hc. zenon_intro zenon_TD_n. zenon_intro zenon_He. % 0.62/0.85 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.62/0.85 generalize (subset_defn zenon_TB_h). zenon_intro zenon_H11. % 0.62/0.85 generalize (zenon_H11 zenon_TC_k). zenon_intro zenon_H12. % 0.62/0.85 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H15; zenon_intro zenon_H14 | zenon_intro zenon_H10; zenon_intro zenon_H13 ]. % 0.62/0.85 exact (zenon_H15 zenon_H10). % 0.62/0.85 generalize (subset_defn (union zenon_TB_h zenon_TD_n)). zenon_intro zenon_H16. % 0.62/0.85 generalize (zenon_H16 (union zenon_TC_k zenon_TD_n)). zenon_intro zenon_H17. % 0.62/0.85 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_Hf; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ]. % 0.62/0.85 apply (zenon_notallex_s (fun D : zenon_U => ((member D (union zenon_TB_h zenon_TD_n))->(member D (union zenon_TC_k zenon_TD_n)))) zenon_H1a); [ zenon_intro zenon_H1b; idtac ]. % 0.62/0.85 elim zenon_H1b. zenon_intro zenon_TD_bc. zenon_intro zenon_H1d. % 0.62/0.85 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.62/0.85 generalize (union_defn zenon_TC_k). zenon_intro zenon_H20. % 0.62/0.85 generalize (zenon_H20 zenon_TD_n). zenon_intro zenon_H21. % 0.62/0.85 generalize (union_defn zenon_TB_h). zenon_intro zenon_H22. % 0.62/0.85 generalize (zenon_H22 zenon_TD_n). zenon_intro zenon_H23. % 0.62/0.85 generalize (zenon_H21 zenon_TD_bc). zenon_intro zenon_H24. % 0.62/0.85 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H1e; zenon_intro zenon_H27 | zenon_intro zenon_H26; zenon_intro zenon_H25 ]. % 0.62/0.85 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.62/0.85 generalize (zenon_H13 zenon_TD_bc). zenon_intro zenon_H2a. % 0.62/0.85 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.62/0.85 generalize (zenon_H23 zenon_TD_bc). zenon_intro zenon_H2d. % 0.62/0.85 apply (zenon_equiv_s _ _ zenon_H2d); [ zenon_intro zenon_H30; zenon_intro zenon_H2f | zenon_intro zenon_H1f; zenon_intro zenon_H2e ]. % 0.62/0.85 exact (zenon_H30 zenon_H1f). % 0.62/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.62/0.85 exact (zenon_H2c zenon_H32). % 0.62/0.85 exact (zenon_H28 zenon_H31). % 0.62/0.85 exact (zenon_H29 zenon_H2b). % 0.62/0.85 exact (zenon_H1e zenon_H26). % 0.62/0.85 exact (zenon_Hf zenon_H19). % 0.62/0.85 Qed. % 0.62/0.85 % SZS output end Proof % 0.62/0.85 (* END-PROOF *) % 0.62/0.85 nodes searched: 12781 % 0.62/0.85 max branch formulas: 931 % 0.62/0.85 proof nodes created: 1062 % 0.62/0.85 formulas created: 24668 % 0.62/0.85 %------------------------------------------------------------------------------