%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n013.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 16:01:03 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n013.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 19:19:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.47  (* PROOF-FOUND *)
% 0.18/0.47  % SZS status Theorem
% 0.18/0.47  (* BEGIN-PROOF *)
% 0.18/0.47  % SZS output start Proof
% 0.18/0.47  Theorem t26_finset_1 : (forall A : zenon_U, (((relation A)/\(function A))->((finite (relation_dom A))->(finite (relation_rng A))))).
% 0.18/0.47  Proof.
% 0.18/0.47  apply NNPP. intro zenon_G.
% 0.18/0.47  apply (zenon_notallex_s (fun A : zenon_U => (((relation A)/\(function A))->((finite (relation_dom A))->(finite (relation_rng A))))) zenon_G); [ zenon_intro zenon_H6; idtac ].
% 0.18/0.47  elim zenon_H6. zenon_intro zenon_TA_h. zenon_intro zenon_H8.
% 0.18/0.47  apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.18/0.47  apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.18/0.47  apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.18/0.47  generalize (t146_relat_1 zenon_TA_h). zenon_intro zenon_Hf.
% 0.18/0.47  apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ].
% 0.18/0.47  exact (zenon_H11 zenon_He).
% 0.18/0.47  generalize (t17_finset_1 (relation_dom zenon_TA_h)). zenon_intro zenon_H12.
% 0.18/0.47  generalize (zenon_H12 zenon_TA_h). zenon_intro zenon_H13.
% 0.18/0.47  apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 0.18/0.47  apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H11 | zenon_intro zenon_H16 ].
% 0.18/0.47  exact (zenon_H11 zenon_He).
% 0.18/0.47  exact (zenon_H16 zenon_Hd).
% 0.18/0.47  apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.18/0.47  exact (zenon_H18 zenon_Hc).
% 0.18/0.47  cut ((finite (relation_image zenon_TA_h (relation_dom zenon_TA_h))) = (finite (relation_rng zenon_TA_h))).
% 0.18/0.47  intro zenon_D_pnotp.
% 0.18/0.47  apply zenon_Hb.
% 0.18/0.47  rewrite <- zenon_D_pnotp.
% 0.18/0.47  exact zenon_H17.
% 0.18/0.47  cut (((relation_image zenon_TA_h (relation_dom zenon_TA_h)) = (relation_rng zenon_TA_h))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 0.18/0.47  congruence.
% 0.18/0.47  exact (zenon_H19 zenon_H10).
% 0.18/0.47  Qed.
% 0.18/0.47  % SZS output end Proof
% 0.18/0.47  (* END-PROOF *)
% 0.18/0.47  nodes searched: 120
% 0.18/0.47  max branch formulas: 57
% 0.18/0.47  proof nodes created: 24
% 0.18/0.47  formulas created: 425
% 0.18/0.47  
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