%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n009.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 : Tue Jul 19 16:00:57 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n009.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 : Mon Jun 20 09:19:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem t13_finset_1 : (forall A : zenon_U, (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))) zenon_G); [ zenon_intro zenon_H36; idtac ].
% 0.18/0.49  elim zenon_H36. zenon_intro zenon_TA_cd. zenon_intro zenon_H38.
% 0.18/0.49  apply (zenon_notallex_s (fun B : zenon_U => (((subset zenon_TA_cd B)/\(finite B))->(finite zenon_TA_cd))) zenon_H38); [ zenon_intro zenon_H39; idtac ].
% 0.18/0.49  elim zenon_H39. zenon_intro zenon_TB_cg. zenon_intro zenon_H3b.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.18/0.49  generalize (t3_subset zenon_TA_cd). zenon_intro zenon_H40.
% 0.18/0.49  generalize (zenon_H40 zenon_TB_cg). zenon_intro zenon_H41.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H42; zenon_intro zenon_H3f ].
% 0.18/0.49  exact (zenon_H43 zenon_H3f).
% 0.18/0.49  generalize (cc2_finset_1 zenon_TB_cg). zenon_intro zenon_H45.
% 0.18/0.49  apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 0.18/0.49  exact (zenon_H47 zenon_H3e).
% 0.18/0.49  generalize (zenon_H46 zenon_TA_cd). zenon_intro zenon_H48.
% 0.18/0.49  apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H49 ].
% 0.18/0.49  exact (zenon_H44 zenon_H42).
% 0.18/0.49  exact (zenon_H3c zenon_H49).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 261
% 0.18/0.49  max branch formulas: 373
% 0.18/0.49  proof nodes created: 23
% 0.18/0.49  formulas created: 2036
% 0.18/0.49  
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