%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM505+3 : 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 15:56:19 EDT 2022 % Result : Theorem 67.32s 67.55s % Output : Proof 67.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.15/0.37 % Computer : n007.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 600 % 0.15/0.37 % DateTime : Thu Jul 7 13:35:44 EDT 2022 % 0.15/0.37 % CPUTime : % 67.32/67.55 (* PROOF-FOUND *) % 67.32/67.55 % SZS status Theorem % 67.32/67.55 (* BEGIN-PROOF *) % 67.32/67.55 % SZS output start Proof % 67.32/67.55 Theorem m__ : ((~((exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((sdtpldt0 (xp) W0) = (xk))))\/(sdtlseqdt0 (xp) (xk))))->((~((xk) = (xp)))/\((exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((sdtpldt0 (xk) W0) = (xp))))\/(sdtlseqdt0 (xk) (xp))))). % 67.32/67.55 Proof. % 67.32/67.55 assert (zenon_L1_ : ((~((xp) = (xk)))/\(sdtlseqdt0 (xp) (xk))) -> (~(sdtlseqdt0 (xp) (xk))) -> False). % 67.32/67.55 do 0 intro. intros zenon_H32 zenon_H33. % 67.32/67.55 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 67.32/67.55 exact (zenon_H33 zenon_H34). % 67.32/67.55 (* end of lemma zenon_L1_ *) % 67.32/67.55 apply NNPP. intro zenon_G. % 67.32/67.55 apply (zenon_and_s _ _ m__1837). zenon_intro zenon_H37. zenon_intro zenon_H36. % 67.32/67.55 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 67.32/67.55 apply (zenon_and_s _ _ m__2306). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 67.32/67.55 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 67.32/67.55 apply (zenon_notor_s _ _ zenon_H3d). zenon_intro zenon_H3e. zenon_intro zenon_H33. % 67.32/67.55 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 67.32/67.55 apply zenon_H40. zenon_intro zenon_H41. % 67.32/67.55 generalize (mLETotal (xp)). zenon_intro zenon_H42. % 67.32/67.55 generalize (zenon_H42 (xk)). zenon_intro zenon_H43. % 67.32/67.55 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 67.32/67.55 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 67.32/67.55 exact (zenon_H47 zenon_H38). % 67.32/67.55 exact (zenon_H46 zenon_H3b). % 67.32/67.55 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H34 | zenon_intro zenon_H48 ]. % 67.32/67.55 exact (zenon_H33 zenon_H34). % 67.32/67.55 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 67.32/67.55 exact (zenon_H4a zenon_H41). % 67.32/67.55 apply (zenon_notor_s _ _ zenon_H3f). zenon_intro zenon_H4c. zenon_intro zenon_H4b. % 67.32/67.55 generalize (mLETotal (xk)). zenon_intro zenon_H4d. % 67.32/67.55 generalize (zenon_H4d (xp)). zenon_intro zenon_H4e. % 67.32/67.55 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H50 | zenon_intro zenon_H4f ]. % 67.32/67.55 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ]. % 67.32/67.55 exact (zenon_H46 zenon_H3b). % 67.32/67.55 exact (zenon_H47 zenon_H38). % 67.32/67.55 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H49 | zenon_intro zenon_H32 ]. % 67.32/67.55 exact (zenon_H4b zenon_H49). % 67.32/67.55 apply (zenon_L1_); trivial. % 67.32/67.55 Qed. % 67.32/67.55 % SZS output end Proof % 67.32/67.55 (* END-PROOF *) % 67.32/67.55 nodes searched: 581813 % 67.32/67.55 max branch formulas: 30893 % 67.32/67.55 proof nodes created: 17408 % 67.32/67.55 formulas created: 3007119 % 67.32/67.55 %------------------------------------------------------------------------------