%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : NUM302+1 : TPTP v3.4.2. Released v3.1.0.
% 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 14:51:47 EDT 2009

% Result   : Theorem 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   4 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(nn2_less_something,plain,
    ! [A] : ~ less(nn2,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),
    [] ).

cnf(166752456,plain,
    ~ less(nn2,A),
    inference(rewrite,[status(thm)],[nn2_less_something]),
    [] ).

fof(less_entry_point_neg_pos,plain,
    ! [A,C,B,D] :
      ( ~ rdn_translate(A,rdn_neg(C))
      | ~ rdn_translate(B,rdn_pos(D))
      | less(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),
    [] ).

cnf(164842440,plain,
    ( ~ rdn_translate(A,rdn_neg(C))
    | ~ rdn_translate(B,rdn_pos(D))
    | less(A,B) ),
    inference(rewrite,[status(thm)],[less_entry_point_neg_pos]),
    [] ).

fof(rdn6,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),
    [] ).

cnf(160036048,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    inference(rewrite,[status(thm)],[rdn6]),
    [] ).

cnf(180169720,plain,
    ( ~ rdn_translate(A,rdn_neg(B))
    | less(A,n6) ),
    inference(resolution,[status(thm)],[164842440,160036048]),
    [] ).

fof(rdnn2,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),
    [] ).

cnf(162420376,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(rewrite,[status(thm)],[rdnn2]),
    [] ).

cnf(181414224,plain,
    less(nn2,n6),
    inference(resolution,[status(thm)],[180169720,162420376]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[166752456,181414224]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(nn2_less_something,plain,(~less(nn2,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),[]).
% 
% cnf(166752456,plain,(~less(nn2,A)),inference(rewrite,[status(thm)],[nn2_less_something]),[]).
% 
% fof(less_entry_point_neg_pos,plain,(~rdn_translate(A,rdn_neg(C))|~rdn_translate(B,rdn_pos(D))|less(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),[]).
% 
% cnf(164842440,plain,(~rdn_translate(A,rdn_neg(C))|~rdn_translate(B,rdn_pos(D))|less(A,B)),inference(rewrite,[status(thm)],[less_entry_point_neg_pos]),[]).
% 
% fof(rdn6,plain,(rdn_translate(n6,rdn_pos(rdnn(n6)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),[]).
% 
% cnf(160036048,plain,(rdn_translate(n6,rdn_pos(rdnn(n6)))),inference(rewrite,[status(thm)],[rdn6]),[]).
% 
% cnf(180169720,plain,(~rdn_translate(A,rdn_neg(B))|less(A,n6)),inference(resolution,[status(thm)],[164842440,160036048]),[]).
% 
% fof(rdnn2,plain,(rdn_translate(nn2,rdn_neg(rdnn(n2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM302+1.tptp',unknown),[]).
% 
% cnf(162420376,plain,(rdn_translate(nn2,rdn_neg(rdnn(n2)))),inference(rewrite,[status(thm)],[rdnn2]),[]).
% 
% cnf(181414224,plain,(less(nn2,n6)),inference(resolution,[status(thm)],[180169720,162420376]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[166752456,181414224]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------