%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET355+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 06:35:43 EDT 2022 % Result : Theorem 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET355+4 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n007.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 02:54:31 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.53 (* PROOF-FOUND *) % 0.19/0.53 % SZS status Theorem % 0.19/0.53 (* BEGIN-PROOF *) % 0.19/0.53 % SZS output start Proof % 0.19/0.53 Theorem thI43 : (forall A : zenon_U, (forall X : zenon_U, ((member X A)->(subset X (sum A))))). % 0.19/0.53 Proof. % 0.19/0.53 apply NNPP. intro zenon_G. % 0.19/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall X : zenon_U, ((member X A)->(subset X (sum A))))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.19/0.53 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.19/0.53 apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TA_n)->(subset X (sum zenon_TA_n)))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.19/0.53 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.19/0.53 apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.19/0.53 generalize (subset zenon_TX_q). zenon_intro zenon_H14. % 0.19/0.53 generalize (zenon_H14 (sum zenon_TA_n)). zenon_intro zenon_H15. % 0.19/0.53 apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H12; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_H16 ]. % 0.19/0.53 apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TX_q)->(member X (sum zenon_TA_n)))) zenon_H18); [ zenon_intro zenon_H19; idtac ]. % 0.19/0.53 elim zenon_H19. zenon_intro zenon_TX_ba. zenon_intro zenon_H1b. % 0.19/0.53 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.19/0.53 generalize (sum zenon_TX_ba). zenon_intro zenon_H1e. % 0.19/0.53 generalize (zenon_H1e zenon_TA_n). zenon_intro zenon_H1f. % 0.19/0.53 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H1c; zenon_intro zenon_H22 | zenon_intro zenon_H21; zenon_intro zenon_H20 ]. % 0.19/0.53 apply zenon_H22. exists zenon_TX_q. apply NNPP. zenon_intro zenon_H23. % 0.19/0.53 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.19/0.53 exact (zenon_H25 zenon_H13). % 0.19/0.53 exact (zenon_H24 zenon_H1d). % 0.19/0.53 exact (zenon_H1c zenon_H21). % 0.19/0.53 exact (zenon_H12 zenon_H17). % 0.19/0.53 Qed. % 0.19/0.53 % SZS output end Proof % 0.19/0.53 (* END-PROOF *) % 0.19/0.53 nodes searched: 982 % 0.19/0.53 max branch formulas: 658 % 0.19/0.53 proof nodes created: 57 % 0.19/0.53 formulas created: 7233 % 0.19/0.53 %------------------------------------------------------------------------------