TSTP Solution File: RNG099+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n020.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 20:48:27 EDT 2022
% Result : Theorem 5.99s 6.19s
% Output : Proof 5.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 18:21:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 5.99/6.19 (* PROOF-FOUND *)
% 5.99/6.19 % SZS status Theorem
% 5.99/6.19 (* BEGIN-PROOF *)
% 5.99/6.19 % SZS output start Proof
% 5.99/6.19 Theorem m__ : (exists W0 : zenon_U, ((aElement0 W0)/\(((aElementOf0 (sdtpldt0 W0 (smndt0 (xx))) (xI))\/(sdteqdtlpzmzozddtrp0 W0 (xx) (xI)))/\((aElementOf0 (sdtpldt0 W0 (smndt0 (xy))) (xJ))\/(sdteqdtlpzmzozddtrp0 W0 (xy) (xJ)))))).
% 5.99/6.19 Proof.
% 5.99/6.19 assert (zenon_L1_ : (~((xw) = (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))))) -> False).
% 5.99/6.19 do 0 intro. intros zenon_H23.
% 5.99/6.19 exact (zenon_H23 m__1319).
% 5.99/6.19 (* end of lemma zenon_L1_ *)
% 5.99/6.19 assert (zenon_L2_ : (~((xI) = (xI))) -> False).
% 5.99/6.19 do 0 intro. intros zenon_H24.
% 5.99/6.19 apply zenon_H24. apply refl_equal.
% 5.99/6.19 (* end of lemma zenon_L2_ *)
% 5.99/6.19 assert (zenon_L3_ : (~((xJ) = (xJ))) -> False).
% 5.99/6.19 do 0 intro. intros zenon_H25.
% 5.99/6.19 apply zenon_H25. apply refl_equal.
% 5.99/6.19 (* end of lemma zenon_L3_ *)
% 5.99/6.19 apply NNPP. intro zenon_G.
% 5.99/6.19 apply (zenon_and_s _ _ m__1205). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 5.99/6.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 5.99/6.19 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 5.99/6.19 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 5.99/6.19 apply (zenon_and_s _ _ m__1217). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 5.99/6.19 apply (zenon_and_s _ _ m__1294). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 5.99/6.19 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 5.99/6.19 generalize (mEOfElem (xJ)). zenon_intro zenon_H34.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 5.99/6.19 exact (zenon_H36 zenon_H2d).
% 5.99/6.19 generalize (mEOfElem (xI)). zenon_intro zenon_H37.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 5.99/6.19 exact (zenon_H39 zenon_H27).
% 5.99/6.19 apply zenon_G. exists (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))). apply NNPP. zenon_intro zenon_H3a.
% 5.99/6.19 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 5.99/6.19 generalize (mSortsB (sdtasdt0 (xy) (xa))). zenon_intro zenon_H3d.
% 5.99/6.19 generalize (zenon_H3d (sdtasdt0 (xx) (xb))). zenon_intro zenon_H3e.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 5.99/6.19 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 5.99/6.19 generalize (mSortsB_02 (xy)). zenon_intro zenon_H43.
% 5.99/6.19 generalize (zenon_H43 (xa)). zenon_intro zenon_H44.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 5.99/6.19 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 5.99/6.19 exact (zenon_H48 zenon_H2e).
% 5.99/6.19 generalize (zenon_H38 (xa)). zenon_intro zenon_H49.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ].
% 5.99/6.19 exact (zenon_H4b zenon_H31).
% 5.99/6.19 exact (zenon_H47 zenon_H4a).
% 5.99/6.19 exact (zenon_H42 zenon_H45).
% 5.99/6.19 generalize (mSortsB_02 (xx)). zenon_intro zenon_H4c.
% 5.99/6.19 generalize (zenon_H4c (xb)). zenon_intro zenon_H4d.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 5.99/6.19 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 5.99/6.19 exact (zenon_H51 zenon_H2f).
% 5.99/6.19 generalize (zenon_H35 (xb)). zenon_intro zenon_H52.
% 5.99/6.19 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 5.99/6.19 exact (zenon_H54 zenon_H33).
% 5.99/6.19 exact (zenon_H50 zenon_H53).
% 5.99/6.19 exact (zenon_H41 zenon_H4e).
% 5.99/6.19 exact (zenon_H3c zenon_H3f).
% 5.99/6.19 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 5.99/6.19 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 5.99/6.19 cut ((aElementOf0 (sdtpldt0 (xw) (smndt0 (xx))) (xI)) = (aElementOf0 (sdtpldt0 (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))) (smndt0 (xx))) (xI))).
% 5.99/6.19 intro zenon_D_pnotp.
% 5.99/6.19 apply zenon_H58.
% 5.99/6.19 rewrite <- zenon_D_pnotp.
% 5.99/6.19 exact m__1332.
% 5.99/6.19 cut (((xI) = (xI))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 5.99/6.19 cut (((sdtpldt0 (xw) (smndt0 (xx))) = (sdtpldt0 (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))) (smndt0 (xx))))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 5.99/6.19 congruence.
% 5.99/6.19 cut (((smndt0 (xx)) = (smndt0 (xx)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 5.99/6.19 cut (((xw) = (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 5.99/6.19 congruence.
% 5.99/6.19 exact (zenon_H23 m__1319).
% 5.99/6.19 apply zenon_H5a. apply refl_equal.
% 5.99/6.19 apply zenon_H24. apply refl_equal.
% 5.99/6.19 apply (zenon_notor_s _ _ zenon_H55). zenon_intro zenon_H5c. zenon_intro zenon_H5b.
% 5.99/6.19 cut ((aElementOf0 (sdtpldt0 (xw) (smndt0 (xy))) (xJ)) = (aElementOf0 (sdtpldt0 (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))) (smndt0 (xy))) (xJ))).
% 5.99/6.19 intro zenon_D_pnotp.
% 5.99/6.19 apply zenon_H5c.
% 5.99/6.19 rewrite <- zenon_D_pnotp.
% 5.99/6.19 exact m__1409.
% 5.99/6.19 cut (((xJ) = (xJ))); [idtac | apply NNPP; zenon_intro zenon_H25].
% 5.99/6.19 cut (((sdtpldt0 (xw) (smndt0 (xy))) = (sdtpldt0 (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))) (smndt0 (xy))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 5.99/6.19 congruence.
% 5.99/6.19 cut (((smndt0 (xy)) = (smndt0 (xy)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 5.99/6.19 cut (((xw) = (sdtpldt0 (sdtasdt0 (xy) (xa)) (sdtasdt0 (xx) (xb))))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 5.99/6.19 congruence.
% 5.99/6.19 exact (zenon_H23 m__1319).
% 5.99/6.19 apply zenon_H5e. apply refl_equal.
% 5.99/6.19 apply zenon_H25. apply refl_equal.
% 5.99/6.19 Qed.
% 5.99/6.19 % SZS output end Proof
% 5.99/6.19 (* END-PROOF *)
% 5.99/6.19 nodes searched: 68424
% 5.99/6.19 max branch formulas: 8530
% 5.99/6.19 proof nodes created: 1453
% 5.99/6.19 formulas created: 311264
% 5.99/6.19
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