%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO047-3 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 11:53:53 EDT 2009

% Result   : Unsatisfiable 2.4s
% Output   : Refutation 2.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   15 (   0 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(b8,plain,
    ! [A,B,C,D] :
      ( ~ between(A,B,C)
      | ~ between(B,D,C)
      | between(A,D,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),
    [] ).

cnf(153577280,plain,
    ( ~ between(A,B,C)
    | ~ between(B,D,C)
    | between(A,D,C) ),
    inference(rewrite,[status(thm)],[b8]),
    [] ).

fof(t1,plain,
    ! [A,B,C] :
      ( ~ between(A,B,C)
      | between(C,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),
    [] ).

cnf(153543328,plain,
    ( ~ between(A,B,C)
    | between(C,B,A) ),
    inference(rewrite,[status(thm)],[t1]),
    [] ).

fof(v_between_u_and_w,plain,
    between(u,v,w),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),
    [] ).

cnf(153584632,plain,
    between(u,v,w),
    inference(rewrite,[status(thm)],[v_between_u_and_w]),
    [] ).

cnf(162092576,plain,
    between(w,v,u),
    inference(resolution,[status(thm)],[153543328,153584632]),
    [] ).

cnf(169144776,plain,
    ( ~ between(A,w,u)
    | between(A,v,u) ),
    inference(resolution,[status(thm)],[153577280,162092576]),
    [] ).

fof(w_between_u_and_x,plain,
    between(u,w,x),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),
    [] ).

cnf(153588416,plain,
    between(u,w,x),
    inference(rewrite,[status(thm)],[w_between_u_and_x]),
    [] ).

cnf(166835360,plain,
    between(x,w,u),
    inference(resolution,[status(thm)],[153543328,153588416]),
    [] ).

cnf(175126432,plain,
    between(x,v,u),
    inference(resolution,[status(thm)],[169144776,166835360]),
    [] ).

fof(prove_v_between_u_and_x,plain,
    ~ between(u,v,x),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),
    [] ).

cnf(153592192,plain,
    ~ between(u,v,x),
    inference(rewrite,[status(thm)],[prove_v_between_u_and_x]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[175126432,153543328,153592192]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(b8,plain,(~between(A,B,C)|~between(B,D,C)|between(A,D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),[]).
% 
% cnf(153577280,plain,(~between(A,B,C)|~between(B,D,C)|between(A,D,C)),inference(rewrite,[status(thm)],[b8]),[]).
% 
% fof(t1,plain,(~between(A,B,C)|between(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),[]).
% 
% cnf(153543328,plain,(~between(A,B,C)|between(C,B,A)),inference(rewrite,[status(thm)],[t1]),[]).
% 
% fof(v_between_u_and_w,plain,(between(u,v,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),[]).
% 
% cnf(153584632,plain,(between(u,v,w)),inference(rewrite,[status(thm)],[v_between_u_and_w]),[]).
% 
% cnf(162092576,plain,(between(w,v,u)),inference(resolution,[status(thm)],[153543328,153584632]),[]).
% 
% cnf(169144776,plain,(~between(A,w,u)|between(A,v,u)),inference(resolution,[status(thm)],[153577280,162092576]),[]).
% 
% fof(w_between_u_and_x,plain,(between(u,w,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),[]).
% 
% cnf(153588416,plain,(between(u,w,x)),inference(rewrite,[status(thm)],[w_between_u_and_x]),[]).
% 
% cnf(166835360,plain,(between(x,w,u)),inference(resolution,[status(thm)],[153543328,153588416]),[]).
% 
% cnf(175126432,plain,(between(x,v,u)),inference(resolution,[status(thm)],[169144776,166835360]),[]).
% 
% fof(prove_v_between_u_and_x,plain,(~between(u,v,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO047-3.tptp',unknown),[]).
% 
% cnf(153592192,plain,(~between(u,v,x)),inference(rewrite,[status(thm)],[prove_v_between_u_and_x]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[175126432,153543328,153592192]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------