%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM491+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 15:56:11 EDT 2022 % Result : Theorem 0.18s 0.52s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM491+3 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n015.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jul 7 01:28:04 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.52 (* PROOF-FOUND *) % 0.18/0.52 % SZS status Theorem % 0.18/0.52 (* BEGIN-PROOF *) % 0.18/0.52 % SZS output start Proof % 0.18/0.52 Theorem m__ : ((exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((sdtasdt0 (xp) (xm)) = (sdtasdt0 (xp) W0))))\/(doDivides0 (xp) (sdtasdt0 (xp) (xm)))). % 0.18/0.52 Proof. % 0.18/0.52 apply NNPP. intro zenon_G. % 0.18/0.52 apply (zenon_and_s _ _ m__1837). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.18/0.52 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.18/0.52 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.18/0.52 apply zenon_H35. exists (xm). apply NNPP. zenon_intro zenon_H36. % 0.18/0.52 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.18/0.52 exact (zenon_H38 zenon_H33). % 0.18/0.52 apply zenon_H37. apply refl_equal. % 0.18/0.52 Qed. % 0.18/0.52 % SZS output end Proof % 0.18/0.52 (* END-PROOF *) % 0.18/0.52 nodes searched: 439 % 0.18/0.52 max branch formulas: 514 % 0.18/0.52 proof nodes created: 9 % 0.18/0.52 formulas created: 7114 % 0.18/0.52 %------------------------------------------------------------------------------