%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO003-3 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:51:55 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 :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   18 (   4 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_b_between_a_and_b,plain,
    ~ between(a,b,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO003-3.tptp',unknown),
    [] ).

cnf(169272688,plain,
    ~ between(a,b,b),
    inference(rewrite,[status(thm)],[prove_b_between_a_and_b]),
    [] ).

fof(b0,plain,
    ! [B,C,D,E,A] :
      ( ~ $equal(extension(B,C,D,E),A)
      | between(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO003-3.tptp',unknown),
    [] ).

cnf(169169960,plain,
    ( ~ $equal(extension(B,C,D,E),A)
    | between(B,C,A) ),
    inference(rewrite,[status(thm)],[b0]),
    [] ).

fof(e1,plain,
    ! [B,A,C] : $equal(extension(B,A,C,C),A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO003-3.tptp',unknown),
    [] ).

cnf(169153720,plain,
    $equal(extension(B,A,C,C),A),
    inference(rewrite,[status(thm)],[e1]),
    [] ).

cnf(178084416,plain,
    between(B,A,A),
    inference(resolution,[status(thm)],[169169960,169153720]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[169272688,178084416]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_b_between_a_and_b,plain,(~between(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO003-3.tptp',unknown),[]).
% 
% cnf(169272688,plain,(~between(a,b,b)),inference(rewrite,[status(thm)],[prove_b_between_a_and_b]),[]).
% 
% fof(b0,plain,(~$equal(extension(B,C,D,E),A)|between(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO003-3.tptp',unknown),[]).
% 
% cnf(169169960,plain,(~$equal(extension(B,C,D,E),A)|between(B,C,A)),inference(rewrite,[status(thm)],[b0]),[]).
% 
% fof(e1,plain,($equal(extension(B,A,C,C),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO003-3.tptp',unknown),[]).
% 
% cnf(169153720,plain,($equal(extension(B,A,C,C),A)),inference(rewrite,[status(thm)],[e1]),[]).
% 
% cnf(178084416,plain,(between(B,A,A)),inference(resolution,[status(thm)],[169169960,169153720]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169272688,178084416]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------