%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n012.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 16:00:19 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command  : run_zenon %s %d
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 20:43:07 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.55  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.21/0.55  (* PROOF-FOUND *)
% 0.21/0.55  % SZS status Theorem
% 0.21/0.55  (* BEGIN-PROOF *)
% 0.21/0.55  % SZS output start Proof
% 0.21/0.55  Theorem t35_funct_1 : (forall A : zenon_U, (forall B : zenon_U, ((in B A)->((apply (identity_relation A) B) = B)))).
% 0.21/0.55  Proof.
% 0.21/0.55  apply NNPP. intro zenon_G.
% 0.21/0.55  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((in B A)->((apply (identity_relation A) B) = B)))) zenon_G); [ zenon_intro zenon_H1f; idtac ].
% 0.21/0.55  elim zenon_H1f. zenon_intro zenon_TA_bg. zenon_intro zenon_H21.
% 0.21/0.55  generalize (t34_funct_1 zenon_TA_bg). zenon_intro zenon_H22.
% 0.21/0.55  generalize (zenon_H22 (identity_relation zenon_TA_bg)). zenon_intro zenon_H23.
% 0.21/0.55  apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.21/0.55  apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.21/0.55  generalize (dt_k6_relat_1 zenon_TA_bg). zenon_intro zenon_H28.
% 0.21/0.55  exact (zenon_H27 zenon_H28).
% 0.21/0.55  generalize (fc2_funct_1 zenon_TA_bg). zenon_intro zenon_H29.
% 0.21/0.55  apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H28. zenon_intro zenon_H2a.
% 0.21/0.55  exact (zenon_H26 zenon_H2a).
% 0.21/0.55  apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H2e; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H2b ].
% 0.21/0.55  apply zenon_H2e. apply refl_equal.
% 0.21/0.55  apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.21/0.55  exact (zenon_H21 zenon_H2f).
% 0.21/0.55  Qed.
% 0.21/0.55  % SZS output end Proof
% 0.21/0.55  (* END-PROOF *)
% 0.21/0.55  nodes searched: 389
% 0.21/0.55  max branch formulas: 225
% 0.21/0.55  proof nodes created: 64
% 0.21/0.55  formulas created: 1848
% 0.21/0.55  
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