%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN070+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 16:40:55 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   64 (  28   ~;  31   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   26 (  10 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel46,plain,
    ( big_f(x)
    & ~ big_g(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),
    [] ).

cnf(145418528,plain,
    big_f(x),
    inference(rewrite,[status(thm)],[pel46]),
    [] ).

fof(pel46_2,plain,
    ! [A,C] :
      ( ( ~ big_g(x1(A))
        | ~ big_f(A)
        | big_g(A) )
      & ( ~ big_f(C)
        | big_g(C)
        | big_j(x1(A),C)
        | ~ big_f(A)
        | big_g(A) )
      & ( big_f(x1(A))
        | ~ big_f(A)
        | big_g(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),
    [] ).

fof(pel46_1,plain,
    ! [B,A] :
      ( ( ~ big_g(B)
        | ~ big_f(A)
        | big_g(A) )
      & ( big_f(B)
        | ~ big_f(A)
        | big_g(A) )
      & ( big_h(B,A)
        | ~ big_f(A)
        | big_g(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),
    [] ).

cnf(145329984,plain,
    ( big_f(B)
    | ~ big_f(A)
    | big_g(A) ),
    inference(rewrite,[status(thm)],[pel46_1]),
    [] ).

cnf(145357024,plain,
    ( big_g(C)
    | big_j(x1(A),C)
    | ~ big_f(A)
    | big_g(A) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel46_2,145329984]),
    [] ).

cnf(145411048,plain,
    ~ big_g(x),
    inference(rewrite,[status(thm)],[pel46]),
    [] ).

cnf(155957304,plain,
    big_j(x1(x),x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145418528,145357024,145411048]),
    [] ).

cnf(155930776,plain,
    big_f(A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145418528,145329984,145411048]),
    [] ).

fof(pel46_3,plain,
    ! [A,B] :
      ( ~ big_f(A)
      | ~ big_f(B)
      | ~ big_h(A,B)
      | ~ big_j(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),
    [] ).

cnf(145374176,plain,
    ( ~ big_f(A)
    | ~ big_f(B)
    | ~ big_h(A,B)
    | ~ big_j(B,A) ),
    inference(rewrite,[status(thm)],[pel46_3]),
    [] ).

cnf(155973744,plain,
    ( ~ big_h(A,B)
    | ~ big_j(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155930776,145374176,155930776]),
    [] ).

cnf(145321752,plain,
    ( big_h(B,A)
    | ~ big_f(A)
    | big_g(A) ),
    inference(rewrite,[status(thm)],[pel46_1]),
    [] ).

cnf(155988952,plain,
    ( big_h(B,A)
    | big_g(A) ),
    inference(resolution,[status(thm)],[145321752,155930776]),
    [] ).

cnf(145342168,plain,
    ( ~ big_g(B)
    | ~ big_f(A)
    | big_g(A) ),
    inference(rewrite,[status(thm)],[pel46_1]),
    [] ).

cnf(155843000,plain,
    ~ big_g(A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145411048,145342168,145418528]),
    [] ).

cnf(155995576,plain,
    big_h(B,A),
    inference(resolution,[status(thm)],[155988952,155843000]),
    [] ).

cnf(156005128,plain,
    ~ big_j(B,A),
    inference(resolution,[status(thm)],[155973744,155995576]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[155957304,156005128]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel46,plain,((big_f(x)&~big_g(x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),[]).
% 
% cnf(145418528,plain,(big_f(x)),inference(rewrite,[status(thm)],[pel46]),[]).
% 
% fof(pel46_2,plain,(((~big_g(x1(A))|~big_f(A)|big_g(A))&(~big_f(C)|big_g(C)|big_j(x1(A),C)|~big_f(A)|big_g(A))&(big_f(x1(A))|~big_f(A)|big_g(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),[]).
% 
% fof(pel46_1,plain,(((~big_g(B)|~big_f(A)|big_g(A))&(big_f(B)|~big_f(A)|big_g(A))&(big_h(B,A)|~big_f(A)|big_g(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),[]).
% 
% cnf(145329984,plain,(big_f(B)|~big_f(A)|big_g(A)),inference(rewrite,[status(thm)],[pel46_1]),[]).
% 
% cnf(145357024,plain,(big_g(C)|big_j(x1(A),C)|~big_f(A)|big_g(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel46_2,145329984]),[]).
% 
% cnf(145411048,plain,(~big_g(x)),inference(rewrite,[status(thm)],[pel46]),[]).
% 
% cnf(155957304,plain,(big_j(x1(x),x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145418528,145357024,145411048]),[]).
% 
% cnf(155930776,plain,(big_f(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145418528,145329984,145411048]),[]).
% 
% fof(pel46_3,plain,(~big_f(A)|~big_f(B)|~big_h(A,B)|~big_j(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070+1.tptp',unknown),[]).
% 
% cnf(145374176,plain,(~big_f(A)|~big_f(B)|~big_h(A,B)|~big_j(B,A)),inference(rewrite,[status(thm)],[pel46_3]),[]).
% 
% cnf(155973744,plain,(~big_h(A,B)|~big_j(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155930776,145374176,155930776]),[]).
% 
% cnf(145321752,plain,(big_h(B,A)|~big_f(A)|big_g(A)),inference(rewrite,[status(thm)],[pel46_1]),[]).
% 
% cnf(155988952,plain,(big_h(B,A)|big_g(A)),inference(resolution,[status(thm)],[145321752,155930776]),[]).
% 
% cnf(145342168,plain,(~big_g(B)|~big_f(A)|big_g(A)),inference(rewrite,[status(thm)],[pel46_1]),[]).
% 
% cnf(155843000,plain,(~big_g(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145411048,145342168,145418528]),[]).
% 
% cnf(155995576,plain,(big_h(B,A)),inference(resolution,[status(thm)],[155988952,155843000]),[]).
% 
% cnf(156005128,plain,(~big_j(B,A)),inference(resolution,[status(thm)],[155973744,155995576]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[155957304,156005128]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------