%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 16:00:19 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 % 0.08/0.14 % Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n012.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Sun Jun 19 20:43:07 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.55 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 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 t35_funct_1 : (forall A : zenon_U, (forall B : zenon_U, ((in B A)->((apply (identity_relation A) B) = B)))). % 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, ((in B A)->((apply (identity_relation A) B) = B)))) zenon_G); [ zenon_intro zenon_H1f; idtac ]. % 0.21/0.55 elim zenon_H1f. zenon_intro zenon_TA_bg. zenon_intro zenon_H21. % 0.21/0.55 generalize (t34_funct_1 zenon_TA_bg). zenon_intro zenon_H22. % 0.21/0.55 generalize (zenon_H22 (identity_relation zenon_TA_bg)). zenon_intro zenon_H23. % 0.21/0.55 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.21/0.55 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.21/0.55 generalize (dt_k6_relat_1 zenon_TA_bg). zenon_intro zenon_H28. % 0.21/0.55 exact (zenon_H27 zenon_H28). % 0.21/0.55 generalize (fc2_funct_1 zenon_TA_bg). zenon_intro zenon_H29. % 0.21/0.55 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H28. zenon_intro zenon_H2a. % 0.21/0.55 exact (zenon_H26 zenon_H2a). % 0.21/0.55 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H2e; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H2b ]. % 0.21/0.55 apply zenon_H2e. apply refl_equal. % 0.21/0.55 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.21/0.55 exact (zenon_H21 zenon_H2f). % 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: 389 % 0.21/0.55 max branch formulas: 225 % 0.21/0.55 proof nodes created: 64 % 0.21/0.55 formulas created: 1848 % 0.21/0.55 %------------------------------------------------------------------------------