%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET689+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 06:38:00 EDT 2022 % Result : Theorem 0.21s 0.55s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET689+4 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n025.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 23:40:16 EDT 2022 % 0.13/0.34 % CPUTime : % 0.21/0.55 (* PROOF-FOUND *) % 0.21/0.55 % SZS status Theorem % 0.21/0.55 (* BEGIN-PROOF *) % 0.21/0.55 % SZS output start Proof % 0.21/0.55 Theorem thI05 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\((subset B C)/\(subset C A)))->(equal_set A C))))). % 0.21/0.55 Proof. % 0.21/0.55 apply NNPP. intro zenon_G. % 0.21/0.55 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\((subset B C)/\(subset C A)))->(equal_set A C))))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.21/0.55 elim zenon_Hc. zenon_intro zenon_TA_n. zenon_intro zenon_He. % 0.21/0.55 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((subset zenon_TA_n B)/\((subset B C)/\(subset C zenon_TA_n)))->(equal_set zenon_TA_n C)))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.21/0.55 elim zenon_Hf. zenon_intro zenon_TB_q. zenon_intro zenon_H11. % 0.21/0.55 apply (zenon_notallex_s (fun C : zenon_U => (((subset zenon_TA_n zenon_TB_q)/\((subset zenon_TB_q C)/\(subset C zenon_TA_n)))->(equal_set zenon_TA_n C))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.21/0.55 elim zenon_H12. zenon_intro zenon_TC_t. zenon_intro zenon_H14. % 0.21/0.55 apply (zenon_notimply_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.21/0.55 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.21/0.55 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.21/0.55 generalize (subset zenon_TA_n). zenon_intro zenon_H1b. % 0.21/0.55 generalize (zenon_H1b zenon_TB_q). zenon_intro zenon_H1c. % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H18; zenon_intro zenon_H1d ]. % 0.21/0.55 exact (zenon_H1f zenon_H18). % 0.21/0.55 generalize (subset zenon_TB_q). zenon_intro zenon_H20. % 0.21/0.55 generalize (zenon_H20 zenon_TC_t). zenon_intro zenon_H21. % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H24; zenon_intro zenon_H23 | zenon_intro zenon_H1a; zenon_intro zenon_H22 ]. % 0.21/0.55 exact (zenon_H24 zenon_H1a). % 0.21/0.55 generalize (subset zenon_TC_t). zenon_intro zenon_H25. % 0.21/0.55 generalize (zenon_H25 zenon_TA_n). zenon_intro zenon_H26. % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H19; zenon_intro zenon_H27 ]. % 0.21/0.55 exact (zenon_H29 zenon_H19). % 0.21/0.55 generalize (equal_set zenon_TA_n). zenon_intro zenon_H2a. % 0.21/0.55 generalize (zenon_H2a zenon_TC_t). zenon_intro zenon_H2b. % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H15; zenon_intro zenon_H2e | zenon_intro zenon_H2d; zenon_intro zenon_H2c ]. % 0.21/0.55 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H2f | zenon_intro zenon_H29 ]. % 0.21/0.55 generalize (subset zenon_TA_n). zenon_intro zenon_H1b. % 0.21/0.55 generalize (zenon_H1b zenon_TC_t). zenon_intro zenon_H30. % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H2f; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ]. % 0.21/0.55 apply (zenon_notallex_s (fun X : zenon_U => ((member X zenon_TA_n)->(member X zenon_TC_t))) zenon_H33); [ zenon_intro zenon_H34; idtac ]. % 0.21/0.55 elim zenon_H34. zenon_intro zenon_TX_cb. zenon_intro zenon_H36. % 0.21/0.55 apply (zenon_notimply_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.21/0.55 generalize (zenon_H22 zenon_TX_cb). zenon_intro zenon_H39. % 0.21/0.55 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ]. % 0.21/0.55 generalize (zenon_H1d zenon_TX_cb). zenon_intro zenon_H3c. % 0.21/0.55 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.21/0.55 exact (zenon_H3e zenon_H38). % 0.21/0.55 exact (zenon_H3b zenon_H3d). % 0.21/0.55 exact (zenon_H37 zenon_H3a). % 0.21/0.55 exact (zenon_H2f zenon_H32). % 0.21/0.55 generalize (subset zenon_TC_t). zenon_intro zenon_H25. % 0.21/0.55 generalize (zenon_H25 zenon_TA_n). zenon_intro zenon_H26. % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H19; zenon_intro zenon_H27 ]. % 0.21/0.55 exact (zenon_H28 zenon_H27). % 0.21/0.55 exact (zenon_H29 zenon_H19). % 0.21/0.55 exact (zenon_H15 zenon_H2d). % 0.21/0.55 Qed. % 0.21/0.55 % SZS output end Proof % 0.21/0.55 (* END-PROOF *) % 0.21/0.55 nodes searched: 1017 % 0.21/0.55 max branch formulas: 714 % 0.21/0.55 proof nodes created: 64 % 0.21/0.55 formulas created: 7544 % 0.21/0.55 %------------------------------------------------------------------------------