TSTP Solution File: NUM505+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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