%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET062+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 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 06:33:18 EDT 2022 % Result : Theorem 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET062+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n017.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 12:50:03 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.53 (* PROOF-FOUND *) % 0.19/0.53 % SZS status Theorem % 0.19/0.53 (* BEGIN-PROOF *) % 0.19/0.53 % SZS output start Proof % 0.19/0.53 Theorem null_class_is_subclass : (forall X : zenon_U, (subclass (null_class) X)). % 0.19/0.53 Proof. % 0.19/0.53 apply NNPP. intro zenon_G. % 0.19/0.53 apply (zenon_notallex_s (fun X : zenon_U => (subclass (null_class) X)) zenon_G); [ zenon_intro zenon_H2c; idtac ]. % 0.19/0.53 elim zenon_H2c. zenon_intro zenon_TX_bt. zenon_intro zenon_H2e. % 0.19/0.53 generalize (subclass_defn (null_class)). zenon_intro zenon_H2f. % 0.19/0.53 generalize (zenon_H2f zenon_TX_bt). zenon_intro zenon_H30. % 0.19/0.53 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H2e; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ]. % 0.19/0.53 apply (zenon_notallex_s (fun U : zenon_U => ((member U (null_class))->(member U zenon_TX_bt))) zenon_H33); [ zenon_intro zenon_H34; idtac ]. % 0.19/0.53 elim zenon_H34. zenon_intro zenon_TU_cb. zenon_intro zenon_H36. % 0.19/0.53 apply (zenon_notimply_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.19/0.53 generalize (null_class_defn zenon_TU_cb). zenon_intro zenon_H39. % 0.19/0.53 exact (zenon_H39 zenon_H38). % 0.19/0.53 exact (zenon_H2e zenon_H32). % 0.19/0.53 Qed. % 0.19/0.53 % SZS output end Proof % 0.19/0.53 (* END-PROOF *) % 0.19/0.53 nodes searched: 649 % 0.19/0.53 max branch formulas: 551 % 0.19/0.53 proof nodes created: 20 % 0.19/0.53 formulas created: 6642 % 0.19/0.53 %------------------------------------------------------------------------------