%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN057+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 16:39:44 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  19   ~;  15   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel27,plain,
    ( big_j(x)
    & big_i(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),
    [] ).

cnf(153120848,plain,
    big_j(x),
    inference(rewrite,[status(thm)],[pel27]),
    [] ).

fof(pel27_3,plain,
    ! [A] :
      ( ~ big_j(A)
      | ~ big_i(A)
      | big_f(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),
    [] ).

cnf(153068368,plain,
    ( ~ big_j(A)
    | ~ big_i(A)
    | big_f(A) ),
    inference(rewrite,[status(thm)],[pel27_3]),
    [] ).

cnf(153111880,plain,
    big_i(x),
    inference(rewrite,[status(thm)],[pel27]),
    [] ).

cnf(163549336,plain,
    big_f(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[153120848,153068368,153111880]),
    [] ).

fof(pel27_4,plain,
    ! [A,B] :
      ( ~ big_h(A)
      | big_g(A)
      | ~ big_i(B)
      | ~ big_h(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),
    [] ).

cnf(153078232,plain,
    ( ~ big_h(A)
    | big_g(A)
    | ~ big_i(B)
    | ~ big_h(B) ),
    inference(rewrite,[status(thm)],[pel27_4]),
    [] ).

fof(pel27_2,plain,
    ! [A] :
      ( ~ big_f(A)
      | big_h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),
    [] ).

cnf(153060152,plain,
    ( ~ big_f(A)
    | big_h(A) ),
    inference(rewrite,[status(thm)],[pel27_2]),
    [] ).

fof(pel27_1,plain,
    ( big_f(x)
    & ~ big_g(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),
    [] ).

cnf(153053640,plain,
    big_f(x),
    inference(rewrite,[status(thm)],[pel27_1]),
    [] ).

cnf(163541272,plain,
    big_h(x),
    inference(resolution,[status(thm)],[153060152,153053640]),
    [] ).

cnf(163571616,plain,
    ( big_g(x)
    | ~ big_i(A)
    | ~ big_h(A) ),
    inference(resolution,[status(thm)],[153078232,163541272]),
    [] ).

cnf(153044632,plain,
    ~ big_g(x),
    inference(rewrite,[status(thm)],[pel27_1]),
    [] ).

cnf(163610992,plain,
    ( ~ big_i(A)
    | ~ big_h(A) ),
    inference(resolution,[status(thm)],[163571616,153044632]),
    [] ).

cnf(163615512,plain,
    ~ big_h(x),
    inference(resolution,[status(thm)],[163610992,153111880]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163549336,163615512,153060152]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel27,plain,((big_j(x)&big_i(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),[]).
% 
% cnf(153120848,plain,(big_j(x)),inference(rewrite,[status(thm)],[pel27]),[]).
% 
% fof(pel27_3,plain,(~big_j(A)|~big_i(A)|big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),[]).
% 
% cnf(153068368,plain,(~big_j(A)|~big_i(A)|big_f(A)),inference(rewrite,[status(thm)],[pel27_3]),[]).
% 
% cnf(153111880,plain,(big_i(x)),inference(rewrite,[status(thm)],[pel27]),[]).
% 
% cnf(163549336,plain,(big_f(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153120848,153068368,153111880]),[]).
% 
% fof(pel27_4,plain,(~big_h(A)|big_g(A)|~big_i(B)|~big_h(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),[]).
% 
% cnf(153078232,plain,(~big_h(A)|big_g(A)|~big_i(B)|~big_h(B)),inference(rewrite,[status(thm)],[pel27_4]),[]).
% 
% fof(pel27_2,plain,(~big_f(A)|big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),[]).
% 
% cnf(153060152,plain,(~big_f(A)|big_h(A)),inference(rewrite,[status(thm)],[pel27_2]),[]).
% 
% fof(pel27_1,plain,((big_f(x)&~big_g(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN057+1.tptp',unknown),[]).
% 
% cnf(153053640,plain,(big_f(x)),inference(rewrite,[status(thm)],[pel27_1]),[]).
% 
% cnf(163541272,plain,(big_h(x)),inference(resolution,[status(thm)],[153060152,153053640]),[]).
% 
% cnf(163571616,plain,(big_g(x)|~big_i(A)|~big_h(A)),inference(resolution,[status(thm)],[153078232,163541272]),[]).
% 
% cnf(153044632,plain,(~big_g(x)),inference(rewrite,[status(thm)],[pel27_1]),[]).
% 
% cnf(163610992,plain,(~big_i(A)|~big_h(A)),inference(resolution,[status(thm)],[163571616,153044632]),[]).
% 
% cnf(163615512,plain,(~big_h(x)),inference(resolution,[status(thm)],[163610992,153111880]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163549336,163615512,153060152]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------