%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n028.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 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 04:42:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.51  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem t13_finset_1 : (forall A : zenon_U, (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))) zenon_G); [ zenon_intro zenon_H2e; idtac ].
% 0.20/0.51  elim zenon_H2e. zenon_intro zenon_TA_bv. zenon_intro zenon_H30.
% 0.20/0.51  apply (zenon_notallex_s (fun B : zenon_U => (((subset zenon_TA_bv B)/\(finite B))->(finite zenon_TA_bv))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.20/0.51  elim zenon_H31. zenon_intro zenon_TB_by. zenon_intro zenon_H33.
% 0.20/0.51  apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.20/0.51  apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.20/0.51  generalize (t3_subset zenon_TA_bv). zenon_intro zenon_H38.
% 0.20/0.51  generalize (zenon_H38 zenon_TB_by). zenon_intro zenon_H39.
% 0.20/0.51  apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H37 ].
% 0.20/0.51  exact (zenon_H3b zenon_H37).
% 0.20/0.51  generalize (cc2_finset_1 zenon_TB_by). zenon_intro zenon_H3d.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 0.20/0.51  exact (zenon_H3f zenon_H36).
% 0.20/0.51  generalize (zenon_H3e zenon_TA_bv). zenon_intro zenon_H40.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H3c | zenon_intro zenon_H41 ].
% 0.20/0.51  exact (zenon_H3c zenon_H3a).
% 0.20/0.51  exact (zenon_H34 zenon_H41).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 238
% 0.20/0.51  max branch formulas: 318
% 0.20/0.51  proof nodes created: 23
% 0.20/0.51  formulas created: 1769
% 0.20/0.51  
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