%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET704+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 06:38:05 EDT 2022 % Result : Theorem 0.60s 0.82s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET704+4 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n023.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 14:44:25 EDT 2022 % 0.12/0.34 % CPUTime : % 0.60/0.82 (* PROOF-FOUND *) % 0.60/0.82 % SZS status Theorem % 0.60/0.82 (* BEGIN-PROOF *) % 0.60/0.82 % SZS output start Proof % 0.60/0.82 Theorem thI42 : (forall A : zenon_U, (forall X : zenon_U, ((member X A)->(subset (product A) X)))). % 0.60/0.82 Proof. % 0.60/0.82 apply NNPP. intro zenon_G. % 0.60/0.82 apply (zenon_notallex_s (fun A : zenon_U => (forall X : zenon_U, ((member X A)->(subset (product A) X)))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.60/0.82 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.60/0.82 apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TA_n)->(subset (product zenon_TA_n) X))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.60/0.82 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.60/0.82 apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.60/0.82 generalize (subset (product zenon_TA_n)). zenon_intro zenon_H14. % 0.60/0.82 generalize (zenon_H14 zenon_TX_q). zenon_intro zenon_H15. % 0.60/0.82 apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H12; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_H16 ]. % 0.60/0.82 apply (zenon_notallex_s (fun X : zenon_U => ((member X (product zenon_TA_n))->(member X zenon_TX_q))) zenon_H18); [ zenon_intro zenon_H19; idtac ]. % 0.60/0.82 elim zenon_H19. zenon_intro zenon_TX_ba. zenon_intro zenon_H1b. % 0.60/0.82 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.60/0.82 generalize (product zenon_TX_ba). zenon_intro zenon_H1e. % 0.60/0.82 generalize (zenon_H1e zenon_TA_n). zenon_intro zenon_H1f. % 0.60/0.82 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H1d; zenon_intro zenon_H20 ]. % 0.60/0.82 exact (zenon_H22 zenon_H1d). % 0.60/0.82 generalize (zenon_H20 zenon_TX_q). zenon_intro zenon_H23. % 0.60/0.82 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.60/0.82 exact (zenon_H25 zenon_H13). % 0.60/0.82 exact (zenon_H1c zenon_H24). % 0.60/0.82 exact (zenon_H12 zenon_H17). % 0.60/0.82 Qed. % 0.60/0.82 % SZS output end Proof % 0.60/0.82 (* END-PROOF *) % 0.60/0.82 nodes searched: 14606 % 0.60/0.82 max branch formulas: 2536 % 0.60/0.82 proof nodes created: 579 % 0.60/0.82 formulas created: 83048 % 0.60/0.82 %------------------------------------------------------------------------------