%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN062+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 16:40:07 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    :   14 (   7 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   29 (  14   ~;  12   |;   3   &)
%                                         (   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    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel32_3,plain,
    ! [A] :
      ( ~ big_k(A)
      | big_h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),
    [] ).

cnf(151638416,plain,
    ( ~ big_k(A)
    | big_h(A) ),
    inference(rewrite,[status(thm)],[pel32_3]),
    [] ).

fof(pel32,plain,
    ( big_f(x)
    & big_k(x)
    & ~ big_j(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),
    [] ).

cnf(151691624,plain,
    big_k(x),
    inference(rewrite,[status(thm)],[pel32]),
    [] ).

cnf(164755568,plain,
    big_h(x),
    inference(resolution,[status(thm)],[151638416,151691624]),
    [] ).

fof(pel32_1,plain,
    ! [A] :
      ( ( ~ big_h(A)
        | ~ big_f(A)
        | big_i(A) )
      & ( ~ big_g(A)
        | ~ big_f(A)
        | big_i(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),
    [] ).

cnf(151623744,plain,
    ( ~ big_h(A)
    | ~ big_f(A)
    | big_i(A) ),
    inference(rewrite,[status(thm)],[pel32_1]),
    [] ).

cnf(151700536,plain,
    big_f(x),
    inference(rewrite,[status(thm)],[pel32]),
    [] ).

cnf(164778152,plain,
    big_i(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164755568,151623744,151700536]),
    [] ).

fof(pel32_2,plain,
    ! [A] :
      ( ~ big_i(A)
      | ~ big_h(A)
      | big_j(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),
    [] ).

cnf(151631944,plain,
    ( ~ big_i(A)
    | ~ big_h(A)
    | big_j(A) ),
    inference(rewrite,[status(thm)],[pel32_2]),
    [] ).

cnf(164784448,plain,
    big_j(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164778152,151631944,164755568]),
    [] ).

cnf(151678496,plain,
    ~ big_j(x),
    inference(rewrite,[status(thm)],[pel32]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[164784448,151678496]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel32_3,plain,(~big_k(A)|big_h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),[]).
% 
% cnf(151638416,plain,(~big_k(A)|big_h(A)),inference(rewrite,[status(thm)],[pel32_3]),[]).
% 
% fof(pel32,plain,((big_f(x)&big_k(x)&~big_j(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),[]).
% 
% cnf(151691624,plain,(big_k(x)),inference(rewrite,[status(thm)],[pel32]),[]).
% 
% cnf(164755568,plain,(big_h(x)),inference(resolution,[status(thm)],[151638416,151691624]),[]).
% 
% fof(pel32_1,plain,(((~big_h(A)|~big_f(A)|big_i(A))&(~big_g(A)|~big_f(A)|big_i(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),[]).
% 
% cnf(151623744,plain,(~big_h(A)|~big_f(A)|big_i(A)),inference(rewrite,[status(thm)],[pel32_1]),[]).
% 
% cnf(151700536,plain,(big_f(x)),inference(rewrite,[status(thm)],[pel32]),[]).
% 
% cnf(164778152,plain,(big_i(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164755568,151623744,151700536]),[]).
% 
% fof(pel32_2,plain,(~big_i(A)|~big_h(A)|big_j(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN062+1.tptp',unknown),[]).
% 
% cnf(151631944,plain,(~big_i(A)|~big_h(A)|big_j(A)),inference(rewrite,[status(thm)],[pel32_2]),[]).
% 
% cnf(164784448,plain,(big_j(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164778152,151631944,164755568]),[]).
% 
% cnf(151678496,plain,(~big_j(x)),inference(rewrite,[status(thm)],[pel32]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164784448,151678496]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------