%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 06:33:23 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 : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n022.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 13:47:55 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_unique : (forall Z : zenon_U, ((Z = (null_class))\/(exists Y : zenon_U, (member Y Z)))). % 0.19/0.53 Proof. % 0.19/0.53 apply NNPP. intro zenon_G. % 0.19/0.53 apply (zenon_notallex_s (fun Z : zenon_U => ((Z = (null_class))\/(exists Y : zenon_U, (member Y Z)))) zenon_G); [ zenon_intro zenon_H2c; idtac ]. % 0.19/0.53 elim zenon_H2c. zenon_intro zenon_TZ_bt. zenon_intro zenon_H2e. % 0.19/0.53 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.19/0.53 generalize (regularity zenon_TZ_bt). zenon_intro zenon_H31. % 0.19/0.53 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.19/0.53 exact (zenon_H33 zenon_H30). % 0.19/0.53 elim zenon_H32. zenon_intro zenon_TU_ca. zenon_intro zenon_H35. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.19/0.53 apply zenon_H2f. exists zenon_TU_ca. apply NNPP. zenon_intro zenon_H3a. % 0.19/0.53 exact (zenon_H3a zenon_H39). % 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: 810 % 0.19/0.53 max branch formulas: 631 % 0.19/0.53 proof nodes created: 41 % 0.19/0.53 formulas created: 7655 % 0.19/0.53 %------------------------------------------------------------------------------