%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 06:37:05 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET590+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jul 9 23:13:53 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem prove_th49 : (forall B : zenon_U, (forall C : zenon_U, (subset (difference B C) B))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (subset (difference B C) B))) zenon_G); [ zenon_intro zenon_H4; idtac ]. % 0.19/0.50 elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6. % 0.19/0.50 apply (zenon_notallex_s (fun C : zenon_U => (subset (difference zenon_TB_f C) zenon_TB_f)) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.19/0.50 elim zenon_H7. zenon_intro zenon_TC_i. zenon_intro zenon_H9. % 0.19/0.50 generalize (subset_defn (difference zenon_TB_f zenon_TC_i)). zenon_intro zenon_Ha. % 0.19/0.50 generalize (zenon_Ha zenon_TB_f). zenon_intro zenon_Hb. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_Hb); [ zenon_intro zenon_H9; zenon_intro zenon_He | zenon_intro zenon_Hd; zenon_intro zenon_Hc ]. % 0.19/0.50 apply (zenon_notallex_s (fun D : zenon_U => ((member D (difference zenon_TB_f zenon_TC_i))->(member D zenon_TB_f))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.19/0.50 elim zenon_Hf. zenon_intro zenon_TD_q. zenon_intro zenon_H11. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.19/0.50 generalize (difference_defn zenon_TB_f). zenon_intro zenon_H14. % 0.19/0.50 generalize (zenon_H14 zenon_TC_i). zenon_intro zenon_H15. % 0.19/0.50 generalize (zenon_H15 zenon_TD_q). zenon_intro zenon_H16. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H19; zenon_intro zenon_H18 | zenon_intro zenon_H13; zenon_intro zenon_H17 ]. % 0.19/0.50 exact (zenon_H19 zenon_H13). % 0.19/0.50 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.19/0.50 exact (zenon_H12 zenon_H1b). % 0.19/0.50 exact (zenon_H9 zenon_Hd). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 114 % 0.19/0.50 max branch formulas: 83 % 0.19/0.50 proof nodes created: 24 % 0.19/0.50 formulas created: 622 % 0.19/0.50 %------------------------------------------------------------------------------