%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN315-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 17:48:43 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   4 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause4,plain,
    ! [A] :
      ( p(a)
      | f(y(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),
    [] ).

cnf(153237656,plain,
    ( p(a)
    | f(y(A)) ),
    inference(rewrite,[status(thm)],[clause4]),
    [] ).

fof(clause3,plain,
    ! [A] :
      ( ~ f(y(A))
      | ~ p(a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),
    [] ).

fof(clause1,plain,
    ! [A] :
      ( ~ f(A)
      | p(a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),
    [] ).

cnf(153221104,plain,
    ( ~ f(A)
    | p(a) ),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

cnf(153231408,plain,
    ~ f(y(A)),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause3,153221104]),
    [] ).

cnf(168853928,plain,
    p(a),
    inference(resolution,[status(thm)],[153237656,153231408]),
    [] ).

fof(clause2,plain,
    ! [A] :
      ( ~ p(a)
      | f(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),
    [] ).

cnf(153227528,plain,
    ( ~ p(a)
    | f(A) ),
    inference(rewrite,[status(thm)],[clause2]),
    [] ).

cnf(168845376,plain,
    ~ p(a),
    inference(resolution,[status(thm)],[153227528,153231408]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[168853928,168845376]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause4,plain,(p(a)|f(y(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),[]).
% 
% cnf(153237656,plain,(p(a)|f(y(A))),inference(rewrite,[status(thm)],[clause4]),[]).
% 
% fof(clause3,plain,(~f(y(A))|~p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),[]).
% 
% fof(clause1,plain,(~f(A)|p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),[]).
% 
% cnf(153221104,plain,(~f(A)|p(a)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% cnf(153231408,plain,(~f(y(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause3,153221104]),[]).
% 
% cnf(168853928,plain,(p(a)),inference(resolution,[status(thm)],[153237656,153231408]),[]).
% 
% fof(clause2,plain,(~p(a)|f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN315-1.tptp',unknown),[]).
% 
% cnf(153227528,plain,(~p(a)|f(A)),inference(rewrite,[status(thm)],[clause2]),[]).
% 
% cnf(168845376,plain,(~p(a)),inference(resolution,[status(thm)],[153227528,153231408]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168853928,168845376]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------