%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM491+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : NUM491+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n007.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 : Wed Jul 6 19:42:44 EDT 2022 % 0.13/0.34 % CPUTime : % 0.40/0.57 (* PROOF-FOUND *) % 0.40/0.57 % SZS status Theorem % 0.40/0.57 (* BEGIN-PROOF *) % 0.40/0.57 % SZS output start Proof % 0.40/0.57 Theorem m__ : (doDivides0 (xp) (sdtasdt0 (xp) (xm))). % 0.40/0.57 Proof. % 0.40/0.57 apply NNPP. intro zenon_G. % 0.40/0.57 apply (zenon_and_s _ _ m__1837). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.40/0.57 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.40/0.57 generalize (mDefDiv (xp)). zenon_intro zenon_H34. % 0.40/0.57 generalize (zenon_H34 (sdtasdt0 (xp) (xm))). zenon_intro zenon_H35. % 0.40/0.57 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.40/0.57 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.40/0.57 exact (zenon_H39 zenon_H32). % 0.40/0.57 generalize (mSortsB_02 (xp)). zenon_intro zenon_H3a. % 0.40/0.57 generalize (zenon_H3a (xm)). zenon_intro zenon_H3b. % 0.40/0.57 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.40/0.57 apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H39 | zenon_intro zenon_H3e ]. % 0.40/0.57 exact (zenon_H39 zenon_H32). % 0.40/0.57 exact (zenon_H3e zenon_H33). % 0.40/0.57 exact (zenon_H38 zenon_H3c). % 0.40/0.57 apply (zenon_equiv_s _ _ zenon_H36); [ zenon_intro zenon_G; zenon_intro zenon_H41 | zenon_intro zenon_H40; zenon_intro zenon_H3f ]. % 0.40/0.58 apply zenon_H41. exists (xm). apply NNPP. zenon_intro zenon_H42. % 0.40/0.58 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H3e | zenon_intro zenon_H43 ]. % 0.40/0.58 exact (zenon_H3e zenon_H33). % 0.40/0.58 apply zenon_H43. apply refl_equal. % 0.40/0.58 exact (zenon_G zenon_H40). % 0.40/0.58 Qed. % 0.40/0.58 % SZS output end Proof % 0.40/0.58 (* END-PROOF *) % 0.40/0.58 nodes searched: 647 % 0.40/0.58 max branch formulas: 642 % 0.40/0.58 proof nodes created: 24 % 0.40/0.58 formulas created: 9810 % 0.40/0.58 %------------------------------------------------------------------------------