%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 06:33:24 EDT 2022 % Result : Theorem 0.46s 0.68s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.10/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n029.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 : Mon Jul 11 00:10:46 EDT 2022 % 0.12/0.34 % CPUTime : % 0.46/0.68 (* PROOF-FOUND *) % 0.46/0.68 % SZS status Theorem % 0.46/0.68 (* BEGIN-PROOF *) % 0.46/0.68 % SZS output start Proof % 0.46/0.68 Theorem null_class_is_a_set : (member (null_class) (universal_class)). % 0.46/0.68 Proof. % 0.46/0.68 apply NNPP. intro zenon_G. % 0.46/0.68 elim infinity. zenon_intro zenon_TX_bs. zenon_intro zenon_H2d. % 0.46/0.68 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.46/0.68 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.46/0.68 generalize (inductive_defn zenon_TX_bs). zenon_intro zenon_H32. % 0.46/0.68 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H31; zenon_intro zenon_H33 ]. % 0.46/0.68 exact (zenon_H35 zenon_H31). % 0.46/0.68 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.46/0.68 generalize (class_elements_are_sets zenon_TX_bs). zenon_intro zenon_H38. % 0.46/0.68 generalize (subclass_defn zenon_TX_bs). zenon_intro zenon_H39. % 0.46/0.68 generalize (zenon_H39 (universal_class)). zenon_intro zenon_H3a. % 0.46/0.68 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3d; zenon_intro zenon_H3c | zenon_intro zenon_H38; zenon_intro zenon_H3b ]. % 0.46/0.68 exact (zenon_H3d zenon_H38). % 0.46/0.68 generalize (zenon_H3b (null_class)). zenon_intro zenon_H3e. % 0.46/0.68 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.46/0.68 exact (zenon_H40 zenon_H37). % 0.46/0.68 exact (zenon_G zenon_H3f). % 0.46/0.68 Qed. % 0.46/0.68 % SZS output end Proof % 0.46/0.68 (* END-PROOF *) % 0.46/0.68 nodes searched: 5882 % 0.46/0.68 max branch formulas: 3265 % 0.46/0.68 proof nodes created: 235 % 0.46/0.68 formulas created: 42824 % 0.46/0.68 %------------------------------------------------------------------------------