%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN068+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:40:46 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   26 (  12   ~;  10   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel44,plain,
    ! [A] :
      ( ~ big_j(A)
      | big_f(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068+1.tptp',unknown),
    [] ).

cnf(172361280,plain,
    ( ~ big_j(A)
    | big_f(A) ),
    inference(rewrite,[status(thm)],[pel44]),
    [] ).

fof(pel44_2,plain,
    ! [B] :
      ( big_j(x)
      & ( ~ big_g(B)
        | big_h(x,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068+1.tptp',unknown),
    [] ).

cnf(172340736,plain,
    big_j(x),
    inference(rewrite,[status(thm)],[pel44_2]),
    [] ).

cnf(180155408,plain,
    big_f(x),
    inference(resolution,[status(thm)],[172361280,172340736]),
    [] ).

fof(pel44_1,plain,
    ! [A] :
      ( ( big_g(y1(A))
        | ~ big_f(A) )
      & ( ~ big_h(A,y1(A))
        | ~ big_f(A) )
      & ( big_g(y(A))
        | ~ big_f(A) )
      & ( big_h(A,y(A))
        | ~ big_f(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068+1.tptp',unknown),
    [] ).

cnf(172303544,plain,
    ( ~ big_h(A,y1(A))
    | ~ big_f(A) ),
    inference(rewrite,[status(thm)],[pel44_1]),
    [] ).

cnf(172327608,plain,
    ( ~ big_g(B)
    | big_h(x,B) ),
    inference(rewrite,[status(thm)],[pel44_2]),
    [] ).

cnf(172309104,plain,
    ( big_g(y1(A))
    | ~ big_f(A) ),
    inference(rewrite,[status(thm)],[pel44_1]),
    [] ).

cnf(180179544,plain,
    big_g(y1(x)),
    inference(resolution,[status(thm)],[172309104,180155408]),
    [] ).

cnf(180225792,plain,
    big_h(x,y1(x)),
    inference(resolution,[status(thm)],[172327608,180179544]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[180155408,172303544,180225792]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel44,plain,(~big_j(A)|big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068+1.tptp',unknown),[]).
% 
% cnf(172361280,plain,(~big_j(A)|big_f(A)),inference(rewrite,[status(thm)],[pel44]),[]).
% 
% fof(pel44_2,plain,((big_j(x)&(~big_g(B)|big_h(x,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068+1.tptp',unknown),[]).
% 
% cnf(172340736,plain,(big_j(x)),inference(rewrite,[status(thm)],[pel44_2]),[]).
% 
% cnf(180155408,plain,(big_f(x)),inference(resolution,[status(thm)],[172361280,172340736]),[]).
% 
% fof(pel44_1,plain,(((big_g(y1(A))|~big_f(A))&(~big_h(A,y1(A))|~big_f(A))&(big_g(y(A))|~big_f(A))&(big_h(A,y(A))|~big_f(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068+1.tptp',unknown),[]).
% 
% cnf(172303544,plain,(~big_h(A,y1(A))|~big_f(A)),inference(rewrite,[status(thm)],[pel44_1]),[]).
% 
% cnf(172327608,plain,(~big_g(B)|big_h(x,B)),inference(rewrite,[status(thm)],[pel44_2]),[]).
% 
% cnf(172309104,plain,(big_g(y1(A))|~big_f(A)),inference(rewrite,[status(thm)],[pel44_1]),[]).
% 
% cnf(180179544,plain,(big_g(y1(x))),inference(resolution,[status(thm)],[172309104,180155408]),[]).
% 
% cnf(180225792,plain,(big_h(x,y1(x))),inference(resolution,[status(thm)],[172327608,180179544]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180155408,172303544,180225792]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------