%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 06:38:26 EDT 2022 % Result : Theorem 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.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 : Sat Jul 9 17:43:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.20/0.53 (* PROOF-FOUND *) % 0.20/0.53 % SZS status Theorem % 0.20/0.53 (* BEGIN-PROOF *) % 0.20/0.53 % SZS output start Proof % 0.20/0.53 Theorem thIII03 : (forall E : zenon_U, (forall R : zenon_U, (forall A : zenon_U, ((equivalence R E)->(subset (equivalence_class A E R) E))))). % 0.20/0.53 Proof. % 0.20/0.53 apply NNPP. intro zenon_G. % 0.20/0.53 apply (zenon_notallex_s (fun E : zenon_U => (forall R : zenon_U, (forall A : zenon_U, ((equivalence R E)->(subset (equivalence_class A E R) E))))) zenon_G); [ zenon_intro zenon_H11; idtac ]. % 0.20/0.53 elim zenon_H11. zenon_intro zenon_TE_s. zenon_intro zenon_H13. % 0.20/0.53 apply (zenon_notallex_s (fun R : zenon_U => (forall A : zenon_U, ((equivalence R zenon_TE_s)->(subset (equivalence_class A zenon_TE_s R) zenon_TE_s)))) zenon_H13); [ zenon_intro zenon_H14; idtac ]. % 0.20/0.53 elim zenon_H14. zenon_intro zenon_TR_v. zenon_intro zenon_H16. % 0.20/0.53 apply (zenon_notallex_s (fun A : zenon_U => ((equivalence zenon_TR_v zenon_TE_s)->(subset (equivalence_class A zenon_TE_s zenon_TR_v) zenon_TE_s))) zenon_H16); [ zenon_intro zenon_H17; idtac ]. % 0.20/0.53 elim zenon_H17. zenon_intro zenon_TA_y. zenon_intro zenon_H19. % 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.20/0.53 generalize (subset (equivalence_class zenon_TA_y zenon_TE_s zenon_TR_v)). zenon_intro zenon_H1c. % 0.20/0.53 generalize (zenon_H1c zenon_TE_s). zenon_intro zenon_H1d. % 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H1a; zenon_intro zenon_H20 | zenon_intro zenon_H1f; zenon_intro zenon_H1e ]. % 0.20/0.53 apply (zenon_notallex_s (fun X : zenon_U => ((member X (equivalence_class zenon_TA_y zenon_TE_s zenon_TR_v))->(member X zenon_TE_s))) zenon_H20); [ zenon_intro zenon_H21; idtac ]. % 0.20/0.53 elim zenon_H21. zenon_intro zenon_TX_bi. zenon_intro zenon_H23. % 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.20/0.53 generalize (equivalence_class zenon_TR_v). zenon_intro zenon_H26. % 0.20/0.53 generalize (zenon_H26 zenon_TE_s). zenon_intro zenon_H27. % 0.20/0.53 generalize (zenon_H27 zenon_TA_y). zenon_intro zenon_H28. % 0.20/0.53 generalize (zenon_H28 zenon_TX_bi). zenon_intro zenon_H29. % 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2c; zenon_intro zenon_H2b | zenon_intro zenon_H25; zenon_intro zenon_H2a ]. % 0.20/0.53 exact (zenon_H2c zenon_H25). % 0.20/0.53 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 0.20/0.53 exact (zenon_H24 zenon_H2e). % 0.20/0.53 exact (zenon_H1a zenon_H1f). % 0.20/0.53 Qed. % 0.20/0.53 % SZS output end Proof % 0.20/0.53 (* END-PROOF *) % 0.20/0.53 nodes searched: 1348 % 0.20/0.53 max branch formulas: 790 % 0.20/0.53 proof nodes created: 80 % 0.20/0.53 formulas created: 9381 % 0.20/0.53 %------------------------------------------------------------------------------