%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 06:37:47 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n021.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sat Jul 9 20:49:51 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem prove_relset_1_20 : (forall B : zenon_U, ((ilf_type B (binary_relation_type))->(ilf_type B (relation_type (domain_of B) (range_of B))))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun B : zenon_U => ((ilf_type B (binary_relation_type))->(ilf_type B (relation_type (domain_of B) (range_of B))))) zenon_G); [ zenon_intro zenon_H1d; idtac ]. % 0.20/0.51 elim zenon_H1d. zenon_intro zenon_TB_be. zenon_intro zenon_H1f. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.20/0.51 generalize (p3 zenon_TB_be). zenon_intro zenon_H22. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.20/0.51 exact (zenon_H24 zenon_H21). % 0.20/0.51 generalize (p1 (domain_of zenon_TB_be)). zenon_intro zenon_H25. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.20/0.51 exact (zenon_H27 zenon_H23). % 0.20/0.51 generalize (zenon_H26 zenon_TB_be). zenon_intro zenon_H28. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H29 ]. % 0.20/0.51 exact (zenon_H24 zenon_H21). % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.20/0.51 generalize (p15 (domain_of zenon_TB_be)). zenon_intro zenon_H2c. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H27 | zenon_intro zenon_H2d ]. % 0.20/0.51 exact (zenon_H27 zenon_H23). % 0.20/0.51 exact (zenon_H2b zenon_H2d). % 0.20/0.51 exact (zenon_H20 zenon_H2a). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 603 % 0.20/0.51 max branch formulas: 430 % 0.20/0.51 proof nodes created: 63 % 0.20/0.51 formulas created: 3603 % 0.20/0.51 %------------------------------------------------------------------------------