%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU139+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n004.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 15:59:37 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU139+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n004.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 : Sun Jun 19 13:36:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  Zenon warning: unused variable (B : zenon_U) in irreflexivity_r2_xboole_0
% 0.18/0.49  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem t60_xboole_1 : (forall A : zenon_U, (forall B : zenon_U, (~((subset A B)/\(proper_subset B A))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (~((subset A B)/\(proper_subset B A))))) zenon_G); [ zenon_intro zenon_H6; idtac ].
% 0.18/0.49  elim zenon_H6. zenon_intro zenon_TA_h. zenon_intro zenon_H8.
% 0.18/0.49  apply (zenon_notallex_s (fun B : zenon_U => (~((subset zenon_TA_h B)/\(proper_subset B zenon_TA_h)))) zenon_H8); [ zenon_intro zenon_H9; idtac ].
% 0.18/0.49  elim zenon_H9. zenon_intro zenon_TB_k. zenon_intro zenon_Hb.
% 0.18/0.49  apply zenon_Hb. zenon_intro zenon_Hc.
% 0.18/0.49  apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.18/0.49  generalize (d8_xboole_0 zenon_TB_k). zenon_intro zenon_Hf.
% 0.18/0.49  generalize (zenon_Hf zenon_TA_h). zenon_intro zenon_H10.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H13; zenon_intro zenon_H12 | zenon_intro zenon_Hd; zenon_intro zenon_H11 ].
% 0.18/0.49  exact (zenon_H13 zenon_Hd).
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.18/0.49  generalize (d10_xboole_0 zenon_TB_k). zenon_intro zenon_H16.
% 0.18/0.49  generalize (zenon_H16 zenon_TA_h). zenon_intro zenon_H17.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H14; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ].
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 0.18/0.49  exact (zenon_H1c zenon_H15).
% 0.18/0.49  exact (zenon_H1b zenon_He).
% 0.18/0.49  exact (zenon_H14 zenon_H19).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 76
% 0.18/0.49  max branch formulas: 63
% 0.18/0.49  proof nodes created: 21
% 0.18/0.49  formulas created: 440
% 0.18/0.49  
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