%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET054-7 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:25:47 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(not_subclass_members1,plain,
    ! [A,B] :
      ( member(not_subclass_element(A,B),A)
      | subclass(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-7.tptp',unknown),
    [] ).

cnf(173882496,plain,
    ( member(not_subclass_element(A,B),A)
    | subclass(A,B) ),
    inference(rewrite,[status(thm)],[not_subclass_members1]),
    [] ).

fof(prove_subclass_is_reflexive_1,plain,
    ~ subclass(x,x),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-7.tptp',unknown),
    [] ).

cnf(174830608,plain,
    ~ subclass(x,x),
    inference(rewrite,[status(thm)],[prove_subclass_is_reflexive_1]),
    [] ).

cnf(183538640,plain,
    member(not_subclass_element(x,x),x),
    inference(resolution,[status(thm)],[173882496,174830608]),
    [] ).

fof(not_subclass_members2,plain,
    ! [A,B] :
      ( ~ member(not_subclass_element(A,B),B)
      | subclass(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-7.tptp',unknown),
    [] ).

cnf(173894616,plain,
    ( ~ member(not_subclass_element(A,B),B)
    | subclass(A,B) ),
    inference(rewrite,[status(thm)],[not_subclass_members2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[183538640,173894616,174830608]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(not_subclass_members1,plain,(member(not_subclass_element(A,B),A)|subclass(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-7.tptp',unknown),[]).
% 
% cnf(173882496,plain,(member(not_subclass_element(A,B),A)|subclass(A,B)),inference(rewrite,[status(thm)],[not_subclass_members1]),[]).
% 
% fof(prove_subclass_is_reflexive_1,plain,(~subclass(x,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-7.tptp',unknown),[]).
% 
% cnf(174830608,plain,(~subclass(x,x)),inference(rewrite,[status(thm)],[prove_subclass_is_reflexive_1]),[]).
% 
% cnf(183538640,plain,(member(not_subclass_element(x,x),x)),inference(resolution,[status(thm)],[173882496,174830608]),[]).
% 
% fof(not_subclass_members2,plain,(~member(not_subclass_element(A,B),B)|subclass(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET054-7.tptp',unknown),[]).
% 
% cnf(173894616,plain,(~member(not_subclass_element(A,B),B)|subclass(A,B)),inference(rewrite,[status(thm)],[not_subclass_members2]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[183538640,173894616,174830608]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------