%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM482+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 15:56:06 EDT 2022 % Result : Theorem 3.38s 3.59s % Output : Proof 3.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM482+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n005.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 : Tue Jul 5 04:45:07 EDT 2022 % 0.13/0.34 % CPUTime : % 3.38/3.59 (* PROOF-FOUND *) % 3.38/3.59 % SZS status Theorem % 3.38/3.59 (* BEGIN-PROOF *) % 3.38/3.59 % SZS output start Proof % 3.38/3.59 Theorem m__ : (((forall W0 : zenon_U, (((aNaturalNumber0 W0)/\((exists W1 : zenon_U, ((aNaturalNumber0 W1)/\((xk) = (sdtasdt0 W0 W1))))\/(doDivides0 W0 (xk))))->((W0 = (sz10))\/(W0 = (xk)))))/\(isPrime0 (xk)))->(exists W0 : zenon_U, ((aNaturalNumber0 W0)/\(((exists W1 : zenon_U, ((aNaturalNumber0 W1)/\((xk) = (sdtasdt0 W0 W1))))\/(doDivides0 W0 (xk)))/\(((~(W0 = (sz00)))/\((~(W0 = (sz10)))/\(forall W1 : zenon_U, (((aNaturalNumber0 W1)/\((exists W2 : zenon_U, ((aNaturalNumber0 W2)/\(W0 = (sdtasdt0 W1 W2))))/\(doDivides0 W1 W0)))->((W1 = (sz10))\/(W1 = W0))))))\/(isPrime0 W0)))))). % 3.38/3.59 Proof. % 3.38/3.59 apply NNPP. intro zenon_G. % 3.38/3.59 apply (zenon_and_s _ _ mSortsC_01). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 3.38/3.59 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 3.38/3.59 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 3.38/3.59 apply zenon_H2b. exists (xk). apply NNPP. zenon_intro zenon_H2f. % 3.38/3.59 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 3.38/3.59 exact (zenon_H31 m__1716). % 3.38/3.59 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 3.38/3.59 apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 3.38/3.59 generalize (m_MulUnit (xk)). zenon_intro zenon_H36. % 3.38/3.59 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H31 | zenon_intro zenon_H37 ]. % 3.38/3.59 exact (zenon_H31 m__1716). % 3.38/3.59 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H39. zenon_intro zenon_H38. % 3.38/3.59 apply zenon_H35. exists (sz10). apply NNPP. zenon_intro zenon_H3a. % 3.38/3.59 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 3.38/3.59 exact (zenon_H3c zenon_H2a). % 3.38/3.59 apply zenon_H3b. apply sym_equal. exact zenon_H39. % 3.38/3.59 apply (zenon_notor_s _ _ zenon_H32). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 3.38/3.59 exact (zenon_H3d zenon_H2d). % 3.38/3.59 Qed. % 3.38/3.59 % SZS output end Proof % 3.38/3.59 (* END-PROOF *) % 3.38/3.59 nodes searched: 35100 % 3.38/3.59 max branch formulas: 5520 % 3.38/3.59 proof nodes created: 1746 % 3.38/3.59 formulas created: 258482 % 3.38/3.59 %------------------------------------------------------------------------------