TSTP Solution File: RNG105+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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