%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO002-3 : TPTP v3.4.2. Released v1.0.0.
% 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 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:51:47 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (   2 sgn   5   !;   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/GEO002-3.tptp',unknown),
    [] ).

cnf(167549264,plain,
    ( ~ between(A,B,C)
    | between(C,B,A) ),
    inference(rewrite,[status(thm)],[t1]),
    [] ).

fof(t3,plain,
    ! [A,B] : between(A,B,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO002-3.tptp',unknown),
    [] ).

cnf(167533920,plain,
    between(A,B,B),
    inference(rewrite,[status(thm)],[t3]),
    [] ).

cnf(175366192,plain,
    between(B,B,A),
    inference(resolution,[status(thm)],[167549264,167533920]),
    [] ).

fof(prove_a_between_a_and_b,plain,
    ~ between(a,a,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO002-3.tptp',unknown),
    [] ).

cnf(167553096,plain,
    ~ between(a,a,b),
    inference(rewrite,[status(thm)],[prove_a_between_a_and_b]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[175366192,167553096]),
    [] ).

%------------------------------------------------------------------------------
%----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/GEO002-3.tptp',unknown),[]).
% 
% cnf(167549264,plain,(~between(A,B,C)|between(C,B,A)),inference(rewrite,[status(thm)],[t1]),[]).
% 
% fof(t3,plain,(between(A,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO002-3.tptp',unknown),[]).
% 
% cnf(167533920,plain,(between(A,B,B)),inference(rewrite,[status(thm)],[t3]),[]).
% 
% cnf(175366192,plain,(between(B,B,A)),inference(resolution,[status(thm)],[167549264,167533920]),[]).
% 
% fof(prove_a_between_a_and_b,plain,(~between(a,a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO002-3.tptp',unknown),[]).
% 
% cnf(167553096,plain,(~between(a,a,b)),inference(rewrite,[status(thm)],[prove_a_between_a_and_b]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[175366192,167553096]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------