%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n021.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 06:37:47 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
% 0.07/0.12  % Problem  : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  9 20:49:51 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 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 prove_relset_1_20 : (forall B : zenon_U, ((ilf_type B (binary_relation_type))->(ilf_type B (relation_type (domain_of B) (range_of B))))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply (zenon_notallex_s (fun B : zenon_U => ((ilf_type B (binary_relation_type))->(ilf_type B (relation_type (domain_of B) (range_of B))))) zenon_G); [ zenon_intro zenon_H1d; idtac ].
% 0.20/0.51  elim zenon_H1d. zenon_intro zenon_TB_be. zenon_intro zenon_H1f.
% 0.20/0.51  apply (zenon_notimply_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.20/0.51  generalize (p3 zenon_TB_be). zenon_intro zenon_H22.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.20/0.51  exact (zenon_H24 zenon_H21).
% 0.20/0.51  generalize (p1 (domain_of zenon_TB_be)). zenon_intro zenon_H25.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.20/0.51  exact (zenon_H27 zenon_H23).
% 0.20/0.51  generalize (zenon_H26 zenon_TB_be). zenon_intro zenon_H28.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H29 ].
% 0.20/0.51  exact (zenon_H24 zenon_H21).
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 0.20/0.51  generalize (p15 (domain_of zenon_TB_be)). zenon_intro zenon_H2c.
% 0.20/0.51  apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H27 | zenon_intro zenon_H2d ].
% 0.20/0.51  exact (zenon_H27 zenon_H23).
% 0.20/0.51  exact (zenon_H2b zenon_H2d).
% 0.20/0.51  exact (zenon_H20 zenon_H2a).
% 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: 603
% 0.20/0.51  max branch formulas: 430
% 0.20/0.51  proof nodes created: 63
% 0.20/0.51  formulas created: 3603
% 0.20/0.51  
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