%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU196+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 16:00:09 EDT 2022 % Result : Theorem 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU196+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n010.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jun 19 19:55:52 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.51 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 Theorem t99_relat_1 : (forall A : zenon_U, (forall B : zenon_U, ((relation B)->(subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((relation B)->(subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))) zenon_G); [ zenon_intro zenon_H1e; idtac ]. % 0.19/0.51 elim zenon_H1e. zenon_intro zenon_TA_bf. zenon_intro zenon_H20. % 0.19/0.51 apply (zenon_notallex_s (fun B : zenon_U => ((relation B)->(subset (relation_rng (relation_dom_restriction B zenon_TA_bf)) (relation_rng B)))) zenon_H20); [ zenon_intro zenon_H21; idtac ]. % 0.19/0.51 elim zenon_H21. zenon_intro zenon_TB_bi. zenon_intro zenon_H23. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.19/0.51 generalize (t25_relat_1 (relation_dom_restriction zenon_TB_bi zenon_TA_bf)). zenon_intro zenon_H26. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.19/0.51 generalize (dt_k7_relat_1 zenon_TB_bi). zenon_intro zenon_H29. % 0.19/0.51 generalize (zenon_H29 zenon_TA_bf). zenon_intro zenon_H2a. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.19/0.51 exact (zenon_H2c zenon_H25). % 0.19/0.51 exact (zenon_H28 zenon_H2b). % 0.19/0.51 generalize (zenon_H27 zenon_TB_bi). zenon_intro zenon_H2d. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.19/0.51 exact (zenon_H2c zenon_H25). % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.19/0.51 generalize (t88_relat_1 zenon_TA_bf). zenon_intro zenon_H31. % 0.19/0.51 generalize (zenon_H31 zenon_TB_bi). zenon_intro zenon_H32. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H2c | zenon_intro zenon_H33 ]. % 0.19/0.51 exact (zenon_H2c zenon_H25). % 0.19/0.51 exact (zenon_H30 zenon_H33). % 0.19/0.51 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.19/0.51 exact (zenon_H24 zenon_H34). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 196 % 0.19/0.51 max branch formulas: 207 % 0.19/0.51 proof nodes created: 26 % 0.19/0.51 formulas created: 1436 % 0.19/0.51 %------------------------------------------------------------------------------