%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN054+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 16:39:31 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  15   ~;  15   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   1 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel24_2,plain,
    ! [A] :
      ( ~ big_p(A)
      | big_q(A)
      | big_r(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),
    [] ).

cnf(172594216,plain,
    ( ~ big_p(A)
    | big_q(A)
    | big_r(A) ),
    inference(rewrite,[status(thm)],[pel24_2]),
    [] ).

fof(pel24_4,plain,
    ! [A] :
      ( ( ~ big_q(A)
        | big_s(A) )
      & ( ~ big_r(A)
        | big_s(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),
    [] ).

cnf(172613664,plain,
    ( ~ big_q(A)
    | big_s(A) ),
    inference(rewrite,[status(thm)],[pel24_4]),
    [] ).

fof(pel24_3,plain,
    ( big_p(x)
    | big_q(y) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),
    [] ).

cnf(172600688,plain,
    ( big_p(x)
    | big_q(y) ),
    inference(rewrite,[status(thm)],[pel24_3]),
    [] ).

cnf(180417304,plain,
    ( big_s(y)
    | big_p(x) ),
    inference(resolution,[status(thm)],[172613664,172600688]),
    [] ).

fof(pel24_1,plain,
    ! [A] :
      ( ~ big_s(A)
      | ~ big_q(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),
    [] ).

cnf(172585928,plain,
    ( ~ big_s(A)
    | ~ big_q(A) ),
    inference(rewrite,[status(thm)],[pel24_1]),
    [] ).

cnf(180422064,plain,
    big_p(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[180417304,172585928,172600688]),
    [] ).

cnf(180453032,plain,
    ( big_q(x)
    | big_r(x) ),
    inference(resolution,[status(thm)],[172594216,180422064]),
    [] ).

cnf(180432984,plain,
    ~ big_q(A),
    inference(resolution,[status(thm)],[172585928,172613664]),
    [] ).

cnf(180477368,plain,
    big_r(x),
    inference(resolution,[status(thm)],[180453032,180432984]),
    [] ).

fof(pel24,plain,
    ! [A] :
      ( ~ big_p(A)
      | ~ big_r(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),
    [] ).

cnf(172626608,plain,
    ( ~ big_p(A)
    | ~ big_r(A) ),
    inference(rewrite,[status(thm)],[pel24]),
    [] ).

cnf(180445600,plain,
    ~ big_r(x),
    inference(resolution,[status(thm)],[172626608,180422064]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[180477368,180445600]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel24_2,plain,(~big_p(A)|big_q(A)|big_r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),[]).
% 
% cnf(172594216,plain,(~big_p(A)|big_q(A)|big_r(A)),inference(rewrite,[status(thm)],[pel24_2]),[]).
% 
% fof(pel24_4,plain,(((~big_q(A)|big_s(A))&(~big_r(A)|big_s(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),[]).
% 
% cnf(172613664,plain,(~big_q(A)|big_s(A)),inference(rewrite,[status(thm)],[pel24_4]),[]).
% 
% fof(pel24_3,plain,(big_p(x)|big_q(y)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),[]).
% 
% cnf(172600688,plain,(big_p(x)|big_q(y)),inference(rewrite,[status(thm)],[pel24_3]),[]).
% 
% cnf(180417304,plain,(big_s(y)|big_p(x)),inference(resolution,[status(thm)],[172613664,172600688]),[]).
% 
% fof(pel24_1,plain,(~big_s(A)|~big_q(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),[]).
% 
% cnf(172585928,plain,(~big_s(A)|~big_q(A)),inference(rewrite,[status(thm)],[pel24_1]),[]).
% 
% cnf(180422064,plain,(big_p(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[180417304,172585928,172600688]),[]).
% 
% cnf(180453032,plain,(big_q(x)|big_r(x)),inference(resolution,[status(thm)],[172594216,180422064]),[]).
% 
% cnf(180432984,plain,(~big_q(A)),inference(resolution,[status(thm)],[172585928,172613664]),[]).
% 
% cnf(180477368,plain,(big_r(x)),inference(resolution,[status(thm)],[180453032,180432984]),[]).
% 
% fof(pel24,plain,(~big_p(A)|~big_r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN054+1.tptp',unknown),[]).
% 
% cnf(172626608,plain,(~big_p(A)|~big_r(A)),inference(rewrite,[status(thm)],[pel24]),[]).
% 
% cnf(180445600,plain,(~big_r(x)),inference(resolution,[status(thm)],[172626608,180422064]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[180477368,180445600]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------