%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n017.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 15:59:29 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon Jun 20 04:16:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.48  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.19/0.48  (* PROOF-FOUND *)
% 0.19/0.48  % SZS status Theorem
% 0.19/0.48  (* BEGIN-PROOF *)
% 0.19/0.48  % SZS output start Proof
% 0.19/0.48  Theorem t2_xboole_1 : (forall A : zenon_U, (subset (empty_set) A)).
% 0.19/0.48  Proof.
% 0.19/0.48  apply NNPP. intro zenon_G.
% 0.19/0.48  apply (zenon_notallex_s (fun A : zenon_U => (subset (empty_set) A)) zenon_G); [ zenon_intro zenon_Hb; idtac ].
% 0.19/0.48  elim zenon_Hb. zenon_intro zenon_TA_m. zenon_intro zenon_Hd.
% 0.19/0.48  generalize (d3_tarski (empty_set)). zenon_intro zenon_He.
% 0.19/0.48  generalize (zenon_He zenon_TA_m). zenon_intro zenon_Hf.
% 0.19/0.48  apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_Hd; zenon_intro zenon_H12 | zenon_intro zenon_H11; zenon_intro zenon_H10 ].
% 0.19/0.48  apply (zenon_notallex_s (fun C : zenon_U => ((in C (empty_set))->(in C zenon_TA_m))) zenon_H12); [ zenon_intro zenon_H13; idtac ].
% 0.19/0.48  elim zenon_H13. zenon_intro zenon_TC_u. zenon_intro zenon_H15.
% 0.19/0.48  apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.19/0.48  generalize (t7_boole zenon_TC_u). zenon_intro zenon_H18.
% 0.19/0.48  generalize (zenon_H18 (empty_set)). zenon_intro zenon_H19.
% 0.19/0.48  apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.19/0.48  exact (zenon_H1b zenon_H17).
% 0.19/0.48  exact (zenon_H1a fc1_xboole_0).
% 0.19/0.48  exact (zenon_Hd zenon_H11).
% 0.19/0.48  Qed.
% 0.19/0.48  % SZS output end Proof
% 0.19/0.48  (* END-PROOF *)
% 0.19/0.48  nodes searched: 64
% 0.19/0.48  max branch formulas: 58
% 0.19/0.48  proof nodes created: 12
% 0.19/0.48  formulas created: 362
% 0.19/0.48  
%------------------------------------------------------------------------------