%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : HWV011-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:17:58 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  10   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_22,plain,
    ! [A] :
      ( ~ $equal(fifo_length,int_level(A))
      | p_full(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),
    [] ).

cnf(145117600,plain,
    ( ~ $equal(fifo_length,int_level(A))
    | p_full(A) ),
    inference(rewrite,[status(thm)],[axiom_22]),
    [] ).

fof(axiom_21,plain,
    ! [A] : $equal(int_level(A),level(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),
    [] ).

cnf(145111928,plain,
    $equal(int_level(A),level(A)),
    inference(rewrite,[status(thm)],[axiom_21]),
    [] ).

cnf(156631216,plain,
    ( ~ $equal(fifo_length,level(A))
    | p_full(A) ),
    inference(paramodulation,[status(thm)],[145117600,145111928,theory(equality)]),
    [] ).

fof(quest_2,plain,
    ( p_full(t_139)
    | $equal(level(t_139),fifo_length) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),
    [] ).

cnf(145726352,plain,
    ( p_full(t_139)
    | $equal(level(t_139),fifo_length) ),
    inference(rewrite,[status(thm)],[quest_2]),
    [] ).

cnf(157196408,plain,
    p_full(t_139),
    inference(paramodulation,[status(thm)],[156631216,145726352,theory(equality)]),
    [] ).

fof(quest_1,plain,
    ( ~ p_full(t_139)
    | ~ $equal(level(t_139),fifo_length) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),
    [] ).

cnf(145715352,plain,
    ( ~ p_full(t_139)
    | ~ $equal(level(t_139),fifo_length) ),
    inference(rewrite,[status(thm)],[quest_1]),
    [] ).

fof(axiom_23,plain,
    ! [A] :
      ( $equal(fifo_length,int_level(A))
      | ~ p_full(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),
    [] ).

cnf(145128080,plain,
    ( $equal(fifo_length,int_level(A))
    | ~ p_full(A) ),
    inference(rewrite,[status(thm)],[axiom_23]),
    [] ).

cnf(156711128,plain,
    ( ~ p_full(A)
    | $equal(fifo_length,level(A)) ),
    inference(paramodulation,[status(thm)],[145128080,145111928,theory(equality)]),
    [] ).

cnf(157227056,plain,
    $equal(fifo_length,level(t_139)),
    inference(resolution,[status(thm)],[156711128,145726352]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[157196408,145715352,157227056,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_22,plain,(~$equal(fifo_length,int_level(A))|p_full(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),[]).
% 
% cnf(145117600,plain,(~$equal(fifo_length,int_level(A))|p_full(A)),inference(rewrite,[status(thm)],[axiom_22]),[]).
% 
% fof(axiom_21,plain,($equal(int_level(A),level(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),[]).
% 
% cnf(145111928,plain,($equal(int_level(A),level(A))),inference(rewrite,[status(thm)],[axiom_21]),[]).
% 
% cnf(156631216,plain,(~$equal(fifo_length,level(A))|p_full(A)),inference(paramodulation,[status(thm)],[145117600,145111928,theory(equality)]),[]).
% 
% fof(quest_2,plain,(p_full(t_139)|$equal(level(t_139),fifo_length)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),[]).
% 
% cnf(145726352,plain,(p_full(t_139)|$equal(level(t_139),fifo_length)),inference(rewrite,[status(thm)],[quest_2]),[]).
% 
% cnf(157196408,plain,(p_full(t_139)),inference(paramodulation,[status(thm)],[156631216,145726352,theory(equality)]),[]).
% 
% fof(quest_1,plain,(~p_full(t_139)|~$equal(level(t_139),fifo_length)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),[]).
% 
% cnf(145715352,plain,(~p_full(t_139)|~$equal(level(t_139),fifo_length)),inference(rewrite,[status(thm)],[quest_1]),[]).
% 
% fof(axiom_23,plain,($equal(fifo_length,int_level(A))|~p_full(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV011-1.tptp',unknown),[]).
% 
% cnf(145128080,plain,($equal(fifo_length,int_level(A))|~p_full(A)),inference(rewrite,[status(thm)],[axiom_23]),[]).
% 
% cnf(156711128,plain,(~p_full(A)|$equal(fifo_length,level(A))),inference(paramodulation,[status(thm)],[145128080,145111928,theory(equality)]),[]).
% 
% cnf(157227056,plain,($equal(fifo_length,level(t_139))),inference(resolution,[status(thm)],[156711128,145726352]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[157196408,145715352,157227056,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------