%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 16:00:18 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.11 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n017.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Mon Jun 20 13:21:59 EDT 2022 % 0.11/0.32 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem t35_funct_1 : (forall A : zenon_U, (forall B : zenon_U, ((in B A)->((apply (identity_relation A) B) = B)))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((in B A)->((apply (identity_relation A) B) = B)))) zenon_G); [ zenon_intro zenon_H19; idtac ]. % 0.18/0.49 elim zenon_H19. zenon_intro zenon_TA_ba. zenon_intro zenon_H1b. % 0.18/0.49 generalize (t34_funct_1 zenon_TA_ba). zenon_intro zenon_H1c. % 0.18/0.49 generalize (zenon_H1c (identity_relation zenon_TA_ba)). zenon_intro zenon_H1d. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ]. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.18/0.49 generalize (dt_k6_relat_1 zenon_TA_ba). zenon_intro zenon_H22. % 0.18/0.49 exact (zenon_H21 zenon_H22). % 0.18/0.49 generalize (fc2_funct_1 zenon_TA_ba). zenon_intro zenon_H23. % 0.18/0.49 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H22. zenon_intro zenon_H24. % 0.18/0.49 exact (zenon_H20 zenon_H24). % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H1e); [ zenon_intro zenon_H28; zenon_intro zenon_H27 | zenon_intro zenon_H26; zenon_intro zenon_H25 ]. % 0.18/0.49 apply zenon_H28. apply refl_equal. % 0.18/0.49 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.18/0.49 exact (zenon_H1b zenon_H29). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 282 % 0.18/0.49 max branch formulas: 169 % 0.18/0.49 proof nodes created: 52 % 0.18/0.49 formulas created: 1351 % 0.18/0.49 %------------------------------------------------------------------------------