TSTP Solution File: NUM558+3 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 15:56:49 EDT 2022
% Result : Theorem 3.44s 3.63s
% Output : Proof 3.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 01:23:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.44/3.63 (* PROOF-FOUND *)
% 3.44/3.63 % SZS status Theorem
% 3.44/3.63 (* BEGIN-PROOF *)
% 3.44/3.63 % SZS output start Proof
% 3.44/3.63 Theorem m__ : (aElementOf0 (xx) (xT)).
% 3.44/3.63 Proof.
% 3.44/3.63 assert (zenon_L1_ : (~((aElementOf0 (xx) (sdtmndt0 (xQ) (xy)))\/((xx) = (xx)))) -> False).
% 3.44/3.63 do 0 intro. intros zenon_H47.
% 3.44/3.63 apply (zenon_notor_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 3.44/3.63 apply zenon_H48. apply refl_equal.
% 3.44/3.63 (* end of lemma zenon_L1_ *)
% 3.44/3.63 apply NNPP. intro zenon_G.
% 3.44/3.63 apply (zenon_and_s _ _ m__2202_02). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 3.44/3.63 apply (zenon_and_s _ _ m__2227). zenon_intro zenon_H4d. zenon_intro zenon_H4c.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54.
% 3.44/3.63 apply (zenon_and_s _ _ m__2357). zenon_intro zenon_H57. zenon_intro zenon_H56.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 3.44/3.63 apply (zenon_and_s _ _ m__2378). zenon_intro zenon_H5f. zenon_intro zenon_H5e.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H61. zenon_intro zenon_H60.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 3.44/3.63 generalize (zenon_H53 (xP)). zenon_intro zenon_H64.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 3.44/3.63 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ].
% 3.44/3.63 generalize (zenon_H55 (xP)). zenon_intro zenon_H69.
% 3.44/3.63 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ].
% 3.44/3.63 exact (zenon_H6b zenon_H62).
% 3.44/3.63 exact (zenon_H68 zenon_H6a).
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H6c.
% 3.44/3.63 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 3.44/3.63 generalize (zenon_H6e (xx)). zenon_intro zenon_H6f.
% 3.44/3.63 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ].
% 3.44/3.63 generalize (zenon_H5d (xx)). zenon_intro zenon_H72.
% 3.44/3.63 apply (zenon_equiv_s _ _ zenon_H72); [ zenon_intro zenon_H71; zenon_intro zenon_H75 | zenon_intro zenon_H74; zenon_intro zenon_H73 ].
% 3.44/3.63 apply (zenon_notand_s _ _ zenon_H75); [ zenon_intro zenon_H76 | zenon_intro zenon_H47 ].
% 3.44/3.63 generalize (mEOfElem (xS)). zenon_intro zenon_H77.
% 3.44/3.63 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ].
% 3.44/3.63 exact (zenon_H79 zenon_H4b).
% 3.44/3.63 generalize (zenon_H78 (xx)). zenon_intro zenon_H7a.
% 3.44/3.63 apply (zenon_imply_s _ _ zenon_H7a); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ].
% 3.44/3.63 exact (zenon_H7c m__2256).
% 3.44/3.63 exact (zenon_H76 zenon_H7b).
% 3.44/3.63 apply (zenon_L1_); trivial.
% 3.44/3.63 exact (zenon_H71 zenon_H74).
% 3.44/3.63 exact (zenon_G zenon_H70).
% 3.44/3.63 Qed.
% 3.44/3.63 % SZS output end Proof
% 3.44/3.63 (* END-PROOF *)
% 3.44/3.63 nodes searched: 95901
% 3.44/3.63 max branch formulas: 4381
% 3.44/3.63 proof nodes created: 947
% 3.44/3.63 formulas created: 252945
% 3.44/3.63
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