%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN058+1 : TPTP v3.4.2. Released v2.0.0.
% 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 16:39:50 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   31 (  14   ~;  12   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   5 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel28_3,plain,
    ! [A,B] :
      ( ~ big_s(A)
      | ~ big_f(B)
      | big_g(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),
    [] ).

cnf(164184544,plain,
    ( ~ big_s(A)
    | ~ big_f(B)
    | big_g(B) ),
    inference(rewrite,[status(thm)],[pel28_3]),
    [] ).

fof(pel28,plain,
    ( big_p(x)
    & big_f(x)
    & ~ big_g(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),
    [] ).

cnf(164233224,plain,
    big_f(x),
    inference(rewrite,[status(thm)],[pel28]),
    [] ).

cnf(177314392,plain,
    ( ~ big_s(A)
    | big_g(x) ),
    inference(resolution,[status(thm)],[164184544,164233224]),
    [] ).

fof(pel28_2,plain,
    ( ( big_s(x1)
      | ~ big_q(x) )
    & ( big_q(x1)
      | ~ big_q(x) )
    & ( big_s(x1)
      | ~ big_r(x) )
    & ( big_q(x1)
      | ~ big_r(x) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),
    [] ).

cnf(164172344,plain,
    ( big_s(x1)
    | ~ big_q(x) ),
    inference(rewrite,[status(thm)],[pel28_2]),
    [] ).

fof(pel28_1,plain,
    ! [A,B] :
      ( ~ big_p(A)
      | big_q(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),
    [] ).

cnf(164149544,plain,
    ( ~ big_p(A)
    | big_q(B) ),
    inference(rewrite,[status(thm)],[pel28_1]),
    [] ).

cnf(164242248,plain,
    big_p(x),
    inference(rewrite,[status(thm)],[pel28]),
    [] ).

cnf(177319136,plain,
    big_q(A),
    inference(resolution,[status(thm)],[164149544,164242248]),
    [] ).

cnf(177324512,plain,
    big_s(x1),
    inference(resolution,[status(thm)],[164172344,177319136]),
    [] ).

cnf(177329976,plain,
    big_g(x),
    inference(resolution,[status(thm)],[177314392,177324512]),
    [] ).

cnf(164224056,plain,
    ~ big_g(x),
    inference(rewrite,[status(thm)],[pel28]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[177329976,164224056]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel28_3,plain,(~big_s(A)|~big_f(B)|big_g(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),[]).
% 
% cnf(164184544,plain,(~big_s(A)|~big_f(B)|big_g(B)),inference(rewrite,[status(thm)],[pel28_3]),[]).
% 
% fof(pel28,plain,((big_p(x)&big_f(x)&~big_g(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),[]).
% 
% cnf(164233224,plain,(big_f(x)),inference(rewrite,[status(thm)],[pel28]),[]).
% 
% cnf(177314392,plain,(~big_s(A)|big_g(x)),inference(resolution,[status(thm)],[164184544,164233224]),[]).
% 
% fof(pel28_2,plain,(((big_s(x1)|~big_q(x))&(big_q(x1)|~big_q(x))&(big_s(x1)|~big_r(x))&(big_q(x1)|~big_r(x)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),[]).
% 
% cnf(164172344,plain,(big_s(x1)|~big_q(x)),inference(rewrite,[status(thm)],[pel28_2]),[]).
% 
% fof(pel28_1,plain,(~big_p(A)|big_q(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN058+1.tptp',unknown),[]).
% 
% cnf(164149544,plain,(~big_p(A)|big_q(B)),inference(rewrite,[status(thm)],[pel28_1]),[]).
% 
% cnf(164242248,plain,(big_p(x)),inference(rewrite,[status(thm)],[pel28]),[]).
% 
% cnf(177319136,plain,(big_q(A)),inference(resolution,[status(thm)],[164149544,164242248]),[]).
% 
% cnf(177324512,plain,(big_s(x1)),inference(resolution,[status(thm)],[164172344,177319136]),[]).
% 
% cnf(177329976,plain,(big_g(x)),inference(resolution,[status(thm)],[177314392,177324512]),[]).
% 
% cnf(164224056,plain,(~big_g(x)),inference(rewrite,[status(thm)],[pel28]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[177329976,164224056]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------