TSTP Solution File: RNG105+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG105+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n022.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 1.89s 2.05s
% Output : Proof 1.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG105+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n022.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 15:08:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.89/2.05 (* PROOF-FOUND *)
% 1.89/2.05 % SZS status Theorem
% 1.89/2.05 (* BEGIN-PROOF *)
% 1.89/2.05 % SZS output start Proof
% 1.89/2.05 Theorem m__ : ((aElementOf0 (sdtpldt0 (xx) (xy)) (slsdtgt0 (xc)))/\(aElementOf0 (sdtasdt0 (xz) (xx)) (slsdtgt0 (xc)))).
% 1.89/2.05 Proof.
% 1.89/2.05 assert (zenon_L1_ : (~(exists W3 : zenon_U, ((aElement0 W3)/\((sdtasdt0 (xc) W3) = (sdtpldt0 (xx) (xy)))))) -> (aElement0 (xv)) -> (aElement0 (xu)) -> False).
% 1.89/2.05 do 0 intro. intros zenon_H2c zenon_H2d zenon_H2e.
% 1.89/2.05 apply zenon_H2c. exists (sdtpldt0 (xu) (xv)). apply NNPP. zenon_intro zenon_H2f.
% 1.89/2.05 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 1.89/2.05 generalize (mSortsB (xu)). zenon_intro zenon_H32.
% 1.89/2.05 generalize (zenon_H32 (xv)). zenon_intro zenon_H33.
% 1.89/2.05 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 1.89/2.05 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 1.89/2.05 exact (zenon_H37 zenon_H2e).
% 1.89/2.05 exact (zenon_H36 zenon_H2d).
% 1.89/2.05 exact (zenon_H31 zenon_H34).
% 1.89/2.05 apply zenon_H30. apply sym_equal. exact m__2010.
% 1.89/2.05 (* end of lemma zenon_L1_ *)
% 1.89/2.05 assert (zenon_L2_ : (~(aElement0 (sdtasdt0 (xu) (xz)))) -> (aElement0 (xz)) -> (aElement0 (xu)) -> False).
% 1.89/2.05 do 0 intro. intros zenon_H38 zenon_H39 zenon_H2e.
% 1.89/2.05 generalize (mSortsB_02 (xu)). zenon_intro zenon_H3a.
% 1.89/2.05 generalize (zenon_H3a (xz)). zenon_intro zenon_H3b.
% 1.89/2.05 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 1.89/2.05 apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H37 | zenon_intro zenon_H3e ].
% 1.89/2.05 exact (zenon_H37 zenon_H2e).
% 1.89/2.05 exact (zenon_H3e zenon_H39).
% 1.89/2.05 exact (zenon_H38 zenon_H3c).
% 1.89/2.05 (* end of lemma zenon_L2_ *)
% 1.89/2.05 apply NNPP. intro zenon_G.
% 1.89/2.05 apply (zenon_and_s _ _ m__1933). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 1.89/2.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H39.
% 1.89/2.05 apply (zenon_and_s _ _ m__1956). zenon_intro zenon_H2e. zenon_intro zenon_H42.
% 1.89/2.05 apply (zenon_and_s _ _ m__1979). zenon_intro zenon_H2d. zenon_intro zenon_H43.
% 1.89/2.05 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 1.89/2.05 generalize (mDefPrIdeal (xc)). zenon_intro zenon_H46.
% 1.89/2.05 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 1.89/2.05 exact (zenon_H48 m__1905).
% 1.89/2.05 generalize (zenon_H47 (slsdtgt0 (xc))). zenon_intro zenon_H49.
% 1.89/2.05 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H4d; zenon_intro zenon_H4c | zenon_intro zenon_H4b; zenon_intro zenon_H4a ].
% 1.89/2.05 apply zenon_H4d. apply refl_equal.
% 1.89/2.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 1.89/2.05 generalize (zenon_H4e (sdtpldt0 (xx) (xy))). zenon_intro zenon_H50.
% 1.89/2.05 apply (zenon_equiv_s _ _ zenon_H50); [ zenon_intro zenon_H45; zenon_intro zenon_H2c | zenon_intro zenon_H52; zenon_intro zenon_H51 ].
% 1.89/2.05 apply (zenon_L1_); trivial.
% 1.89/2.05 exact (zenon_H45 zenon_H52).
% 1.89/2.05 generalize (mDefPrIdeal (xc)). zenon_intro zenon_H46.
% 1.89/2.05 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 1.89/2.05 exact (zenon_H48 m__1905).
% 1.89/2.05 generalize (zenon_H47 (slsdtgt0 (xc))). zenon_intro zenon_H49.
% 1.89/2.05 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H4d; zenon_intro zenon_H4c | zenon_intro zenon_H4b; zenon_intro zenon_H4a ].
% 1.89/2.05 apply zenon_H4d. apply refl_equal.
% 1.89/2.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 1.89/2.05 generalize (zenon_H4e (sdtasdt0 (xz) (xx))). zenon_intro zenon_H53.
% 1.89/2.05 apply (zenon_equiv_s _ _ zenon_H53); [ zenon_intro zenon_H44; zenon_intro zenon_H56 | zenon_intro zenon_H55; zenon_intro zenon_H54 ].
% 1.89/2.05 apply zenon_H56. exists (sdtasdt0 (xu) (xz)). apply NNPP. zenon_intro zenon_H57.
% 1.89/2.05 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_H38 | zenon_intro zenon_H58 ].
% 1.89/2.05 apply (zenon_L2_); trivial.
% 1.89/2.05 apply zenon_H58. apply sym_equal. exact m__2043.
% 1.89/2.05 exact (zenon_H44 zenon_H55).
% 1.89/2.05 Qed.
% 1.89/2.05 % SZS output end Proof
% 1.89/2.05 (* END-PROOF *)
% 1.89/2.05 nodes searched: 17040
% 1.89/2.05 max branch formulas: 3978
% 1.89/2.05 proof nodes created: 682
% 1.89/2.05 formulas created: 151925
% 1.89/2.05
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