%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : NUM298+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 14:51:39 EDT 2009

% Result   : Theorem 0.5s
% Output   : Refutation 0.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (   3 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/NUM298+1.tptp',unknown),
    [] ).

cnf(153603072,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(rdn2,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),
    [] ).

cnf(148733528,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(rewrite,[status(thm)],[rdn2]),
    [] ).

cnf(166675176,plain,
    ( ~ rdn_translate(A,rdn_neg(B))
    | less(A,n2) ),
    inference(resolution,[status(thm)],[153603072,148733528]),
    [] ).

fof(rdnn2,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),
    [] ).

cnf(151194024,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(rewrite,[status(thm)],[rdnn2]),
    [] ).

cnf(173106496,plain,
    less(nn2,n2),
    inference(resolution,[status(thm)],[166675176,151194024]),
    [] ).

fof(less_property,plain,
    ! [A,B] :
      ( ( ~ $equal(A,B)
        | ~ less(A,B) )
      & ( ~ less(B,A)
        | ~ less(A,B) )
      & ( less(A,B)
        | less(B,A)
        | $equal(A,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),
    [] ).

cnf(153666416,plain,
    ( ~ less(B,A)
    | ~ less(A,B) ),
    inference(rewrite,[status(thm)],[less_property]),
    [] ).

fof(n2_not_less_nn2,plain,
    less(n2,nn2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),
    [] ).

cnf(155497368,plain,
    less(n2,nn2),
    inference(rewrite,[status(thm)],[n2_not_less_nn2]),
    [] ).

cnf(164760720,plain,
    ~ less(nn2,n2),
    inference(resolution,[status(thm)],[153666416,155497368]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[173106496,164760720]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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/NUM298+1.tptp',unknown),[]).
% 
% cnf(153603072,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(rdn2,plain,(rdn_translate(n2,rdn_pos(rdnn(n2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),[]).
% 
% cnf(148733528,plain,(rdn_translate(n2,rdn_pos(rdnn(n2)))),inference(rewrite,[status(thm)],[rdn2]),[]).
% 
% cnf(166675176,plain,(~rdn_translate(A,rdn_neg(B))|less(A,n2)),inference(resolution,[status(thm)],[153603072,148733528]),[]).
% 
% fof(rdnn2,plain,(rdn_translate(nn2,rdn_neg(rdnn(n2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),[]).
% 
% cnf(151194024,plain,(rdn_translate(nn2,rdn_neg(rdnn(n2)))),inference(rewrite,[status(thm)],[rdnn2]),[]).
% 
% cnf(173106496,plain,(less(nn2,n2)),inference(resolution,[status(thm)],[166675176,151194024]),[]).
% 
% fof(less_property,plain,(((~$equal(A,B)|~less(A,B))&(~less(B,A)|~less(A,B))&(less(A,B)|less(B,A)|$equal(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),[]).
% 
% cnf(153666416,plain,(~less(B,A)|~less(A,B)),inference(rewrite,[status(thm)],[less_property]),[]).
% 
% fof(n2_not_less_nn2,plain,(less(n2,nn2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM298+1.tptp',unknown),[]).
% 
% cnf(155497368,plain,(less(n2,nn2)),inference(rewrite,[status(thm)],[n2_not_less_nn2]),[]).
% 
% cnf(164760720,plain,(~less(nn2,n2)),inference(resolution,[status(thm)],[153666416,155497368]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173106496,164760720]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------