%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO065-3 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:54:34 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t1,plain,
    ! [A,B,C] :
      ( ~ between(A,B,C)
      | between(C,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),
    [] ).

cnf(146809888,plain,
    ( ~ between(A,B,C)
    | between(C,B,A) ),
    inference(rewrite,[status(thm)],[t1]),
    [] ).

fof(w_between_u_and_v,plain,
    between(u,w,v),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),
    [] ).

cnf(147091144,plain,
    between(u,w,v),
    inference(rewrite,[status(thm)],[w_between_u_and_v]),
    [] ).

cnf(157741328,plain,
    between(v,w,u),
    inference(resolution,[status(thm)],[146809888,147091144]),
    [] ).

fof(prove_uvw_colinear,plain,
    ~ colinear(u,v,w),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),
    [] ).

cnf(147094880,plain,
    ~ colinear(u,v,w),
    inference(rewrite,[status(thm)],[prove_uvw_colinear]),
    [] ).

fof(colinearity2,plain,
    ! [A,B,C] :
      ( ~ between(A,B,C)
      | colinear(C,A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),
    [] ).

cnf(146577816,plain,
    ( ~ between(A,B,C)
    | colinear(C,A,B) ),
    inference(rewrite,[status(thm)],[colinearity2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[157741328,147094880,146577816]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t1,plain,(~between(A,B,C)|between(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),[]).
% 
% cnf(146809888,plain,(~between(A,B,C)|between(C,B,A)),inference(rewrite,[status(thm)],[t1]),[]).
% 
% fof(w_between_u_and_v,plain,(between(u,w,v)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),[]).
% 
% cnf(147091144,plain,(between(u,w,v)),inference(rewrite,[status(thm)],[w_between_u_and_v]),[]).
% 
% cnf(157741328,plain,(between(v,w,u)),inference(resolution,[status(thm)],[146809888,147091144]),[]).
% 
% fof(prove_uvw_colinear,plain,(~colinear(u,v,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),[]).
% 
% cnf(147094880,plain,(~colinear(u,v,w)),inference(rewrite,[status(thm)],[prove_uvw_colinear]),[]).
% 
% fof(colinearity2,plain,(~between(A,B,C)|colinear(C,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO065-3.tptp',unknown),[]).
% 
% cnf(146577816,plain,(~between(A,B,C)|colinear(C,A,B)),inference(rewrite,[status(thm)],[colinearity2]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[157741328,147094880,146577816]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------