%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : NUM300+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 14:51:43 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 :   13 (   8   ~;   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   :   14 (   6 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rdnn1,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM300+1.tptp',unknown),
    [] ).

cnf(161802880,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(rewrite,[status(thm)],[rdnn1]),
    [] ).

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/NUM300+1.tptp',unknown),
    [] ).

cnf(164237872,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(rdn0,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM300+1.tptp',unknown),
    [] ).

cnf(159301856,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(rewrite,[status(thm)],[rdn0]),
    [] ).

cnf(176922712,plain,
    ( ~ rdn_translate(A,rdn_neg(B))
    | less(A,n0) ),
    inference(resolution,[status(thm)],[164237872,159301856]),
    [] ).

fof(something_less_n0,plain,
    ! [A] : ~ less(A,n0),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM300+1.tptp',unknown),
    [] ).

cnf(166147888,plain,
    ~ less(A,n0),
    inference(rewrite,[status(thm)],[something_less_n0]),
    [] ).

cnf(176944272,plain,
    ~ rdn_translate(A,rdn_neg(B)),
    inference(resolution,[status(thm)],[176922712,166147888]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[161802880,176944272]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rdnn1,plain,(rdn_translate(nn1,rdn_neg(rdnn(n1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM300+1.tptp',unknown),[]).
% 
% cnf(161802880,plain,(rdn_translate(nn1,rdn_neg(rdnn(n1)))),inference(rewrite,[status(thm)],[rdnn1]),[]).
% 
% 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/NUM300+1.tptp',unknown),[]).
% 
% cnf(164237872,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(rdn0,plain,(rdn_translate(n0,rdn_pos(rdnn(n0)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM300+1.tptp',unknown),[]).
% 
% cnf(159301856,plain,(rdn_translate(n0,rdn_pos(rdnn(n0)))),inference(rewrite,[status(thm)],[rdn0]),[]).
% 
% cnf(176922712,plain,(~rdn_translate(A,rdn_neg(B))|less(A,n0)),inference(resolution,[status(thm)],[164237872,159301856]),[]).
% 
% fof(something_less_n0,plain,(~less(A,n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM300+1.tptp',unknown),[]).
% 
% cnf(166147888,plain,(~less(A,n0)),inference(rewrite,[status(thm)],[something_less_n0]),[]).
% 
% cnf(176944272,plain,(~rdn_translate(A,rdn_neg(B))),inference(resolution,[status(thm)],[176922712,166147888]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[161802880,176944272]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------