%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN066+1 : TPTP v3.4.2. Bugfixed v3.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 16:40:26 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   17 (   8   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   20 (   7 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel37_2,plain,
    ! [A,B] :
      ( big_p(A,B)
      | big_q(y(A,B),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),
    [] ).

cnf(171708176,plain,
    ( big_p(A,B)
    | big_q(y(A,B),B) ),
    inference(rewrite,[status(thm)],[pel37_2]),
    [] ).

fof(pel37_3,plain,
    ! [A,B,C] :
      ( ~ big_q(A,B)
      | big_r(C,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),
    [] ).

cnf(171723560,plain,
    ( ~ big_q(A,B)
    | big_r(C,C) ),
    inference(rewrite,[status(thm)],[pel37_3]),
    [] ).

fof(pel37,plain,
    ! [B] : ~ big_r(x,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),
    [] ).

cnf(171757144,plain,
    ~ big_r(x,B),
    inference(rewrite,[status(thm)],[pel37]),
    [] ).

cnf(179542936,plain,
    ~ big_q(A,B),
    inference(resolution,[status(thm)],[171723560,171757144]),
    [] ).

cnf(179551608,plain,
    big_p(A,B),
    inference(resolution,[status(thm)],[171708176,179542936]),
    [] ).

fof(pel37_1,plain,
    ! [C,A] :
      ( ( ~ big_p(C,A)
        | big_p(y(A,C),w(A)) )
      & big_p(y(A,C),A)
      & ( ~ big_p(y(A,C),w(A))
        | big_q(u(A,C),w(A)) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),
    [] ).

cnf(171679320,plain,
    ( ~ big_p(y(A,C),w(A))
    | big_q(u(A,C),w(A)) ),
    inference(rewrite,[status(thm)],[pel37_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[179551608,171679320,179542936]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel37_2,plain,(big_p(A,B)|big_q(y(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),[]).
% 
% cnf(171708176,plain,(big_p(A,B)|big_q(y(A,B),B)),inference(rewrite,[status(thm)],[pel37_2]),[]).
% 
% fof(pel37_3,plain,(~big_q(A,B)|big_r(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),[]).
% 
% cnf(171723560,plain,(~big_q(A,B)|big_r(C,C)),inference(rewrite,[status(thm)],[pel37_3]),[]).
% 
% fof(pel37,plain,(~big_r(x,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),[]).
% 
% cnf(171757144,plain,(~big_r(x,B)),inference(rewrite,[status(thm)],[pel37]),[]).
% 
% cnf(179542936,plain,(~big_q(A,B)),inference(resolution,[status(thm)],[171723560,171757144]),[]).
% 
% cnf(179551608,plain,(big_p(A,B)),inference(resolution,[status(thm)],[171708176,179542936]),[]).
% 
% fof(pel37_1,plain,(((~big_p(C,A)|big_p(y(A,C),w(A)))&big_p(y(A,C),A)&(~big_p(y(A,C),w(A))|big_q(u(A,C),w(A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN066+1.tptp',unknown),[]).
% 
% cnf(171679320,plain,(~big_p(y(A,C),w(A))|big_q(u(A,C),w(A))),inference(rewrite,[status(thm)],[pel37_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[179551608,171679320,179542936]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------