TSTP Solution File: NUM578+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM578+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n015.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 15:57:00 EDT 2022
% Result : Theorem 4.18s 4.38s
% Output : Proof 4.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM578+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n015.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 : Wed Jul 6 09:23:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.18/4.38 (* PROOF-FOUND *)
% 4.18/4.38 % SZS status Theorem
% 4.18/4.38 (* BEGIN-PROOF *)
% 4.18/4.38 % SZS output start Proof
% 4.18/4.38 Theorem m__ : ((forall W0 : zenon_U, (forall W1 : zenon_U, (((aElementOf0 W0 (szNzAzT0))/\(aElementOf0 W1 (szNzAzT0)))->((sdtlseqdt0 (szszuzczcdt0 W0) W1)->((aSubsetOf0 (sdtlpdtrp0 (xN) W1) (sdtmndt0 (sdtlpdtrp0 (xN) W0) (szmzizndt0 (sdtlpdtrp0 (xN) W0))))/\(~((szmzizndt0 (sdtlpdtrp0 (xN) W1)) = (szmzizndt0 (sdtlpdtrp0 (xN) W0)))))))))->((~((xi) = (xj)))->(~((szmzizndt0 (sdtlpdtrp0 (xN) (xi))) = (szmzizndt0 (sdtlpdtrp0 (xN) (xj))))))).
% 4.18/4.38 Proof.
% 4.18/4.38 assert (zenon_L1_ : ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (sdtmndt0 (sdtlpdtrp0 (xN) (xj)) (szmzizndt0 (sdtlpdtrp0 (xN) (xj)))))/\(~((szmzizndt0 (sdtlpdtrp0 (xN) (xi))) = (szmzizndt0 (sdtlpdtrp0 (xN) (xj)))))) -> ((szmzizndt0 (sdtlpdtrp0 (xN) (xi))) = (szmzizndt0 (sdtlpdtrp0 (xN) (xj)))) -> False).
% 4.18/4.38 do 0 intro. intros zenon_H55 zenon_H56.
% 4.18/4.38 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 4.18/4.38 exact (zenon_H57 zenon_H56).
% 4.18/4.38 (* end of lemma zenon_L1_ *)
% 4.18/4.38 apply NNPP. intro zenon_G.
% 4.18/4.38 apply (zenon_and_s _ _ m__3856). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 4.18/4.38 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5c. zenon_intro zenon_H5b.
% 4.18/4.38 apply (zenon_notimply_s _ _ zenon_H5b). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 4.18/4.38 apply zenon_H5d. zenon_intro zenon_H56.
% 4.18/4.38 apply (zenon_imply_s _ _ m__3856_02); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ].
% 4.18/4.38 exact (zenon_H60 zenon_H5e).
% 4.18/4.38 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ].
% 4.18/4.38 generalize (zenon_H5c (xj)). zenon_intro zenon_H63.
% 4.18/4.38 generalize (zenon_H63 (xi)). zenon_intro zenon_H64.
% 4.18/4.38 apply (zenon_imply_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ].
% 4.18/4.38 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ].
% 4.18/4.38 exact (zenon_H68 zenon_H59).
% 4.18/4.38 exact (zenon_H67 zenon_H5a).
% 4.18/4.38 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H69 | zenon_intro zenon_H55 ].
% 4.18/4.38 exact (zenon_H69 zenon_H62).
% 4.18/4.38 apply (zenon_L1_); trivial.
% 4.18/4.38 generalize (zenon_H5c (xi)). zenon_intro zenon_H6a.
% 4.18/4.38 generalize (zenon_H6a (xj)). zenon_intro zenon_H6b.
% 4.18/4.38 apply (zenon_imply_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ].
% 4.18/4.38 apply (zenon_notand_s _ _ zenon_H6d); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 4.18/4.38 exact (zenon_H67 zenon_H5a).
% 4.18/4.38 exact (zenon_H68 zenon_H59).
% 4.18/4.38 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ].
% 4.18/4.38 exact (zenon_H6f zenon_H61).
% 4.18/4.38 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 4.18/4.38 apply zenon_H70. apply sym_equal. exact zenon_H56.
% 4.18/4.38 Qed.
% 4.18/4.38 % SZS output end Proof
% 4.18/4.38 (* END-PROOF *)
% 4.18/4.38 nodes searched: 121331
% 4.18/4.38 max branch formulas: 5331
% 4.18/4.38 proof nodes created: 4889
% 4.18/4.38 formulas created: 373597
% 4.18/4.38
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