%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM514+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 : Mon Jul 18 15:56:24 EDT 2022 % Result : Theorem 0.19s 0.57s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM514+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n023.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 : Thu Jul 7 13:19:56 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.57 (* PROOF-FOUND *) % 0.19/0.57 % SZS status Theorem % 0.19/0.57 (* BEGIN-PROOF *) % 0.19/0.57 % SZS output start Proof % 0.19/0.57 Theorem m__ : (((aNaturalNumber0 (sdtsldt0 (xn) (xr)))/\((xn) = (sdtasdt0 (xr) (sdtsldt0 (xn) (xr)))))->((exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((sdtasdt0 (sdtsldt0 (xn) (xr)) (xm)) = (sdtasdt0 (xp) W0))))\/(doDivides0 (xp) (sdtasdt0 (sdtsldt0 (xn) (xr)) (xm))))). % 0.19/0.57 Proof. % 0.19/0.57 apply NNPP. intro zenon_G. % 0.19/0.57 apply (zenon_and_s _ _ m__2613). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.19/0.57 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.19/0.57 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.19/0.57 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.19/0.57 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.19/0.57 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.19/0.57 apply zenon_H43. exists (sdtsldt0 (xk) (xr)). apply NNPP. zenon_intro zenon_H44. % 0.19/0.57 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 0.19/0.57 exact (zenon_H46 zenon_H39). % 0.19/0.57 apply zenon_H45. apply sym_equal. exact zenon_H3e. % 0.19/0.57 Qed. % 0.19/0.57 % SZS output end Proof % 0.19/0.57 (* END-PROOF *) % 0.19/0.57 nodes searched: 719 % 0.19/0.57 max branch formulas: 824 % 0.19/0.57 proof nodes created: 15 % 0.19/0.57 formulas created: 12159 % 0.19/0.57 %------------------------------------------------------------------------------