%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0. % 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 : Sat Jul 16 12:46:18 EDT 2022 % Result : Theorem 29.83s 30.05s % Output : Proof 29.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n022.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 : Tue Jun 7 21:27:05 EDT 2022 % 0.14/0.34 % CPUTime : % 29.83/30.05 (* PROOF-FOUND *) % 29.83/30.05 % SZS status Theorem % 29.83/30.05 (* BEGIN-PROOF *) % 29.83/30.05 % SZS output start Proof % 29.83/30.05 Theorem g_surjection : (surjection (g)). % 29.83/30.05 Proof. % 29.83/30.05 apply NNPP. intro zenon_G. % 29.83/30.05 generalize (properties_for_surjection (g)). zenon_intro zenon_H22. % 29.83/30.05 generalize (zenon_H22 (b)). zenon_intro zenon_H23. % 29.83/30.05 generalize (zenon_H23 (e)). zenon_intro zenon_H24. % 29.83/30.05 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 29.83/30.05 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 29.83/30.05 exact (zenon_H28 g_morphism). % 29.83/30.05 apply (zenon_notallex_s (fun ElCod : zenon_U => ((element ElCod (e))->(exists ElDom : zenon_U, ((element ElDom (b))/\((apply (g) ElDom) = ElCod))))) zenon_H27); [ zenon_intro zenon_H29; idtac ]. % 29.83/30.05 elim zenon_H29. zenon_intro zenon_TElCod_bq. zenon_intro zenon_H2b. % 29.83/30.05 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 29.83/30.05 generalize (subtract_in_domain (b)). zenon_intro zenon_H2e. % 29.83/30.05 generalize (lemma12 zenon_TElCod_bq). zenon_intro zenon_H2f. % 29.83/30.05 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 29.83/30.05 exact (zenon_H31 zenon_H2d). % 29.83/30.05 elim zenon_H30. zenon_intro zenon_TB1_by. zenon_intro zenon_H33. % 29.83/30.05 elim zenon_H33. zenon_intro zenon_TB2_ca. zenon_intro zenon_H35. % 29.83/30.05 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 29.83/30.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 29.83/30.05 apply zenon_H2c. exists (subtract (b) zenon_TB1_by zenon_TB2_ca). apply NNPP. zenon_intro zenon_H3a. % 29.83/30.05 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 29.83/30.05 generalize (zenon_H2e zenon_TB1_by). zenon_intro zenon_H3d. % 29.83/30.05 generalize (zenon_H3d zenon_TB2_ca). zenon_intro zenon_H3e. % 29.83/30.05 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 29.83/30.05 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 29.83/30.05 exact (zenon_H42 zenon_H37). % 29.83/30.05 exact (zenon_H41 zenon_H39). % 29.83/30.05 exact (zenon_H3c zenon_H3f). % 29.83/30.05 exact (zenon_H3b zenon_H38). % 29.83/30.05 exact (zenon_G zenon_H25). % 29.83/30.05 Qed. % 29.83/30.05 % SZS output end Proof % 29.83/30.05 (* END-PROOF *) % 29.83/30.05 nodes searched: 153843 % 29.83/30.05 max branch formulas: 13254 % 29.83/30.05 proof nodes created: 4147 % 29.83/30.05 formulas created: 1330553 % 29.83/30.05 %------------------------------------------------------------------------------