%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SET062+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 06:33:18 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET062+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 12:50:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.53  (* PROOF-FOUND *)
% 0.19/0.53  % SZS status Theorem
% 0.19/0.53  (* BEGIN-PROOF *)
% 0.19/0.53  % SZS output start Proof
% 0.19/0.53  Theorem null_class_is_subclass : (forall X : zenon_U, (subclass (null_class) X)).
% 0.19/0.53  Proof.
% 0.19/0.53  apply NNPP. intro zenon_G.
% 0.19/0.53  apply (zenon_notallex_s (fun X : zenon_U => (subclass (null_class) X)) zenon_G); [ zenon_intro zenon_H2c; idtac ].
% 0.19/0.53  elim zenon_H2c. zenon_intro zenon_TX_bt. zenon_intro zenon_H2e.
% 0.19/0.53  generalize (subclass_defn (null_class)). zenon_intro zenon_H2f.
% 0.19/0.53  generalize (zenon_H2f zenon_TX_bt). zenon_intro zenon_H30.
% 0.19/0.53  apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H2e; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ].
% 0.19/0.53  apply (zenon_notallex_s (fun U : zenon_U => ((member U (null_class))->(member U zenon_TX_bt))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 0.19/0.53  elim zenon_H34. zenon_intro zenon_TU_cb. zenon_intro zenon_H36.
% 0.19/0.53  apply (zenon_notimply_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 0.19/0.53  generalize (null_class_defn zenon_TU_cb). zenon_intro zenon_H39.
% 0.19/0.53  exact (zenon_H39 zenon_H38).
% 0.19/0.53  exact (zenon_H2e zenon_H32).
% 0.19/0.53  Qed.
% 0.19/0.53  % SZS output end Proof
% 0.19/0.53  (* END-PROOF *)
% 0.19/0.53  nodes searched: 649
% 0.19/0.53  max branch formulas: 551
% 0.19/0.53  proof nodes created: 20
% 0.19/0.53  formulas created: 6642
% 0.19/0.53  
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