%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n018.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 15:59:07 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n018.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 : Sat Jun 18 22:01:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.50  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem t76_funct_1 : (forall A : zenon_U, (forall B : zenon_U, (((relation B)/\(function B))->((subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))/\(subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((relation B)/\(function B))->((subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))/\(subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))))) zenon_G); [ zenon_intro zenon_H26; idtac ].
% 0.19/0.50  elim zenon_H26. zenon_intro zenon_TA_bn. zenon_intro zenon_H28.
% 0.19/0.50  apply (zenon_notallex_s (fun B : zenon_U => (((relation B)/\(function B))->((subset (relation_dom (relation_dom_restriction B zenon_TA_bn)) (relation_dom B))/\(subset (relation_rng (relation_dom_restriction B zenon_TA_bn)) (relation_rng B))))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.19/0.50  elim zenon_H29. zenon_intro zenon_TB_bq. zenon_intro zenon_H2b.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 0.19/0.50  generalize (t89_relat_1 zenon_TA_bn). zenon_intro zenon_H32.
% 0.19/0.50  generalize (zenon_H32 zenon_TB_bq). zenon_intro zenon_H33.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 0.19/0.50  exact (zenon_H35 zenon_H2f).
% 0.19/0.50  exact (zenon_H31 zenon_H34).
% 0.19/0.50  generalize (t99_relat_1 zenon_TA_bn). zenon_intro zenon_H36.
% 0.19/0.50  generalize (zenon_H36 zenon_TB_bq). zenon_intro zenon_H37.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ].
% 0.19/0.50  exact (zenon_H35 zenon_H2f).
% 0.19/0.50  exact (zenon_H30 zenon_H38).
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 278
% 0.19/0.50  max branch formulas: 203
% 0.19/0.50  proof nodes created: 16
% 0.19/0.50  formulas created: 1357
% 0.19/0.50  
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