%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 06:33:24 EDT 2022

% Result   : Theorem 0.46s 0.68s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.13  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 00:10:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.46/0.68  (* PROOF-FOUND *)
% 0.46/0.68  % SZS status Theorem
% 0.46/0.68  (* BEGIN-PROOF *)
% 0.46/0.68  % SZS output start Proof
% 0.46/0.68  Theorem null_class_is_a_set : (member (null_class) (universal_class)).
% 0.46/0.68  Proof.
% 0.46/0.68  apply NNPP. intro zenon_G.
% 0.46/0.68  elim infinity. zenon_intro zenon_TX_bs. zenon_intro zenon_H2d.
% 0.46/0.68  apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.46/0.68  apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.46/0.68  generalize (inductive_defn zenon_TX_bs). zenon_intro zenon_H32.
% 0.46/0.68  apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H31; zenon_intro zenon_H33 ].
% 0.46/0.68  exact (zenon_H35 zenon_H31).
% 0.46/0.68  apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.46/0.68  generalize (class_elements_are_sets zenon_TX_bs). zenon_intro zenon_H38.
% 0.46/0.68  generalize (subclass_defn zenon_TX_bs). zenon_intro zenon_H39.
% 0.46/0.68  generalize (zenon_H39 (universal_class)). zenon_intro zenon_H3a.
% 0.46/0.68  apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3d; zenon_intro zenon_H3c | zenon_intro zenon_H38; zenon_intro zenon_H3b ].
% 0.46/0.68  exact (zenon_H3d zenon_H38).
% 0.46/0.68  generalize (zenon_H3b (null_class)). zenon_intro zenon_H3e.
% 0.46/0.68  apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.46/0.68  exact (zenon_H40 zenon_H37).
% 0.46/0.68  exact (zenon_G zenon_H3f).
% 0.46/0.68  Qed.
% 0.46/0.68  % SZS output end Proof
% 0.46/0.68  (* END-PROOF *)
% 0.46/0.68  nodes searched: 5882
% 0.46/0.68  max branch formulas: 3265
% 0.46/0.68  proof nodes created: 235
% 0.46/0.68  formulas created: 42824
% 0.46/0.68  
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