%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG105+2 : 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 0.45s 0.62s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG105+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n019.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon May 30 18:17:40 EDT 2022 % 0.14/0.34 % CPUTime : % 0.45/0.62 (* PROOF-FOUND *) % 0.45/0.62 % SZS status Theorem % 0.45/0.62 (* BEGIN-PROOF *) % 0.45/0.62 % SZS output start Proof % 0.45/0.62 Theorem m__ : (((exists W0 : zenon_U, ((aElement0 W0)/\((sdtasdt0 (xc) W0) = (sdtpldt0 (xx) (xy)))))\/(aElementOf0 (sdtpldt0 (xx) (xy)) (slsdtgt0 (xc))))/\((exists W0 : zenon_U, ((aElement0 W0)/\((sdtasdt0 (xc) W0) = (sdtasdt0 (xz) (xx)))))\/(aElementOf0 (sdtasdt0 (xz) (xx)) (slsdtgt0 (xc))))). % 0.45/0.62 Proof. % 0.45/0.62 apply NNPP. intro zenon_G. % 0.45/0.62 apply (zenon_and_s _ _ m__1933). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.45/0.62 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.45/0.62 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.45/0.62 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.45/0.62 apply (zenon_and_s _ _ m__1956). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.45/0.62 apply (zenon_and_s _ _ m__1979). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.45/0.62 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.45/0.62 apply zenon_H3b. exists (sdtpldt0 (xu) (xv)). apply NNPP. zenon_intro zenon_H3c. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.45/0.62 generalize (mSortsB (xu)). zenon_intro zenon_H3f. % 0.45/0.62 generalize (zenon_H3f (xv)). zenon_intro zenon_H40. % 0.45/0.62 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.45/0.62 exact (zenon_H44 zenon_H35). % 0.45/0.62 exact (zenon_H43 zenon_H37). % 0.45/0.62 exact (zenon_H3e zenon_H41). % 0.45/0.62 apply zenon_H3d. apply sym_equal. exact m__2010. % 0.45/0.62 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H46. zenon_intro zenon_H45. % 0.45/0.62 apply zenon_H46. exists (sdtasdt0 (xu) (xz)). apply NNPP. zenon_intro zenon_H47. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.45/0.62 generalize (mSortsB_02 (xu)). zenon_intro zenon_H4a. % 0.45/0.62 generalize (zenon_H4a (xz)). zenon_intro zenon_H4b. % 0.45/0.62 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H44 | zenon_intro zenon_H4e ]. % 0.45/0.62 exact (zenon_H44 zenon_H35). % 0.45/0.62 exact (zenon_H4e zenon_H32). % 0.45/0.62 exact (zenon_H49 zenon_H4c). % 0.45/0.62 apply zenon_H48. apply sym_equal. exact m__2043. % 0.45/0.62 Qed. % 0.45/0.62 % SZS output end Proof % 0.45/0.62 (* END-PROOF *) % 0.45/0.62 nodes searched: 1527 % 0.45/0.62 max branch formulas: 613 % 0.45/0.62 proof nodes created: 47 % 0.45/0.62 formulas created: 15918 % 0.45/0.62 %------------------------------------------------------------------------------