%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n014.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 06:37:55 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14  % Command  : run_zenon %s %d
% 0.14/0.34  % Computer : n014.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 : Sun Jul 10 12:24:20 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.52  (* PROOF-FOUND *)
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  (* BEGIN-PROOF *)
% 0.20/0.52  % SZS output start Proof
% 0.20/0.52  Theorem prove_relset_1_41 : (forall B : zenon_U, ((ilf_type B (set_type))->(ilf_type (cross_product B B) (identity_relation_of_type B)))).
% 0.20/0.52  Proof.
% 0.20/0.52  apply NNPP. intro zenon_G.
% 0.20/0.52  apply (zenon_notallex_s (fun B : zenon_U => ((ilf_type B (set_type))->(ilf_type (cross_product B B) (identity_relation_of_type B)))) zenon_G); [ zenon_intro zenon_H14; idtac ].
% 0.20/0.52  elim zenon_H14. zenon_intro zenon_TB_v. zenon_intro zenon_H16.
% 0.20/0.52  apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.20/0.52  generalize (p4 zenon_TB_v). zenon_intro zenon_H19.
% 0.20/0.52  apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.20/0.52  exact (zenon_H1b zenon_H18).
% 0.20/0.52  generalize (zenon_H1a (cross_product zenon_TB_v zenon_TB_v)). zenon_intro zenon_H1c.
% 0.20/0.52  apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.20/0.52  generalize (p3 zenon_TB_v). zenon_intro zenon_H1f.
% 0.20/0.52  apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H1b | zenon_intro zenon_H20 ].
% 0.20/0.52  exact (zenon_H1b zenon_H18).
% 0.20/0.52  generalize (zenon_H20 zenon_TB_v). zenon_intro zenon_H21.
% 0.20/0.52  apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H1b | zenon_intro zenon_H22 ].
% 0.20/0.52  exact (zenon_H1b zenon_H18).
% 0.20/0.52  exact (zenon_H1e zenon_H22).
% 0.20/0.52  apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H17; zenon_intro zenon_H25 | zenon_intro zenon_H24; zenon_intro zenon_H23 ].
% 0.20/0.52  generalize (p1 zenon_TB_v). zenon_intro zenon_H26.
% 0.20/0.52  apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H1b | zenon_intro zenon_H27 ].
% 0.20/0.52  exact (zenon_H1b zenon_H18).
% 0.20/0.52  generalize (zenon_H27 zenon_TB_v). zenon_intro zenon_H28.
% 0.20/0.52  apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H1b | zenon_intro zenon_H23 ].
% 0.20/0.52  exact (zenon_H1b zenon_H18).
% 0.20/0.52  exact (zenon_H25 zenon_H23).
% 0.20/0.52  exact (zenon_H17 zenon_H24).
% 0.20/0.52  Qed.
% 0.20/0.52  % SZS output end Proof
% 0.20/0.52  (* END-PROOF *)
% 0.20/0.52  nodes searched: 186
% 0.20/0.52  max branch formulas: 195
% 0.20/0.52  proof nodes created: 28
% 0.20/0.52  formulas created: 1505
% 0.20/0.52  
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