%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG108+4 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 20:48:28 EDT 2022 % Result : Theorem 27.46s 27.69s % Output : Proof 27.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.09 % Problem : RNG108+4 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.09 % Command : run_zenon %s %d % 0.08/0.29 % Computer : n019.cluster.edu % 0.08/0.29 % Model : x86_64 x86_64 % 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.29 % Memory : 8042.1875MB % 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.29 % CPULimit : 300 % 0.08/0.29 % WCLimit : 600 % 0.08/0.29 % DateTime : Mon May 30 07:47:55 EDT 2022 % 0.08/0.29 % CPUTime : % 27.46/27.69 (* PROOF-FOUND *) % 27.46/27.69 % SZS status Theorem % 27.46/27.69 (* BEGIN-PROOF *) % 27.46/27.69 % SZS output start Proof % 27.46/27.69 Theorem m__ : (((exists W0 : zenon_U, ((aElement0 W0)/\((sdtasdt0 (xa) W0) = (sz00))))\/(aElementOf0 (sz00) (slsdtgt0 (xa))))/\(((exists W0 : zenon_U, ((aElement0 W0)/\((sdtasdt0 (xa) W0) = (xa))))\/(aElementOf0 (xa) (slsdtgt0 (xa))))/\(((exists W0 : zenon_U, ((aElement0 W0)/\((sdtasdt0 (xb) W0) = (sz00))))\/(aElementOf0 (sz00) (slsdtgt0 (xb))))/\((exists W0 : zenon_U, ((aElement0 W0)/\((sdtasdt0 (xb) W0) = (xb))))\/(aElementOf0 (xb) (slsdtgt0 (xb))))))). % 27.46/27.69 Proof. % 27.46/27.69 apply NNPP. intro zenon_G. % 27.46/27.69 apply (zenon_and_s _ _ m__2091). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 27.46/27.69 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 27.46/27.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 27.46/27.69 apply zenon_H30. exists (sz00). apply NNPP. zenon_intro zenon_H31. % 27.46/27.69 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 27.46/27.69 exact (zenon_H33 mSortsC). % 27.46/27.69 generalize (mMulZero (xa)). zenon_intro zenon_H34. % 27.46/27.69 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 27.46/27.69 exact (zenon_H36 zenon_H2c). % 27.46/27.69 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H38. zenon_intro zenon_H37. % 27.46/27.69 exact (zenon_H32 zenon_H38). % 27.46/27.69 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 27.46/27.69 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 27.46/27.69 generalize (mMulUnit (xa)). zenon_intro zenon_H3d. % 27.46/27.69 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H36 | zenon_intro zenon_H3e ]. % 27.46/27.69 exact (zenon_H36 zenon_H2c). % 27.46/27.69 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 27.46/27.69 apply zenon_H3c. exists (sz10). apply NNPP. zenon_intro zenon_H41. % 27.46/27.69 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 27.46/27.69 exact (zenon_H43 mSortsC_01). % 27.46/27.69 exact (zenon_H42 zenon_H40). % 27.46/27.69 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 27.46/27.69 apply (zenon_notor_s _ _ zenon_H45). zenon_intro zenon_H47. zenon_intro zenon_H46. % 27.46/27.69 apply zenon_H47. exists (sz00). apply NNPP. zenon_intro zenon_H48. % 27.46/27.69 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H33 | zenon_intro zenon_H49 ]. % 27.46/27.69 exact (zenon_H33 mSortsC). % 27.46/27.69 generalize (mMulZero (xb)). zenon_intro zenon_H4a. % 27.46/27.69 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 27.46/27.69 exact (zenon_H4c zenon_H2b). % 27.46/27.69 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H4e. zenon_intro zenon_H4d. % 27.46/27.69 exact (zenon_H49 zenon_H4e). % 27.46/27.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H50. zenon_intro zenon_H4f. % 27.46/27.69 generalize (mMulUnit (xb)). zenon_intro zenon_H51. % 27.46/27.69 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H4c | zenon_intro zenon_H52 ]. % 27.46/27.69 exact (zenon_H4c zenon_H2b). % 27.46/27.69 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H54. zenon_intro zenon_H53. % 27.46/27.69 apply zenon_H50. exists (sz10). apply NNPP. zenon_intro zenon_H55. % 27.46/27.69 apply (zenon_notand_s _ _ zenon_H55); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 27.46/27.69 exact (zenon_H43 mSortsC_01). % 27.46/27.69 exact (zenon_H56 zenon_H54). % 27.46/27.69 Qed. % 27.46/27.69 % SZS output end Proof % 27.46/27.69 (* END-PROOF *) % 27.46/27.69 nodes searched: 251061 % 27.46/27.69 max branch formulas: 15428 % 27.46/27.69 proof nodes created: 7086 % 27.46/27.69 formulas created: 1087042 % 27.46/27.69 %------------------------------------------------------------------------------