%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO054-2 : 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 11:54:04 EDT 2009

% Result   : Unsatisfiable 0.7s
% Output   : Refutation 0.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   12 (   2 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_v_between_u_and_reflection,plain,
    ~ between(u,v,reflection(u,v)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO054-2.tptp',unknown),
    [] ).

cnf(157476392,plain,
    ~ between(u,v,reflection(u,v)),
    inference(rewrite,[status(thm)],[prove_v_between_u_and_reflection]),
    [] ).

fof(reflection,plain,
    ! [A,B] : $equal(extension(A,B,A,B),reflection(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO054-2.tptp',unknown),
    [] ).

cnf(157472352,plain,
    $equal(extension(A,B,A,B),reflection(A,B)),
    inference(rewrite,[status(thm)],[reflection]),
    [] ).

cnf(169653120,plain,
    ~ between(u,v,extension(u,v,u,v)),
    inference(paramodulation,[status(thm)],[157476392,157472352,theory(equality)]),
    [] ).

fof(segment_construction1,plain,
    ! [A,B,C,D] : between(A,B,extension(A,B,C,D)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO054-2.tptp',unknown),
    [] ).

cnf(157264608,plain,
    between(A,B,extension(A,B,C,D)),
    inference(rewrite,[status(thm)],[segment_construction1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[169653120,157264608]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_v_between_u_and_reflection,plain,(~between(u,v,reflection(u,v))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO054-2.tptp',unknown),[]).
% 
% cnf(157476392,plain,(~between(u,v,reflection(u,v))),inference(rewrite,[status(thm)],[prove_v_between_u_and_reflection]),[]).
% 
% fof(reflection,plain,($equal(extension(A,B,A,B),reflection(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO054-2.tptp',unknown),[]).
% 
% cnf(157472352,plain,($equal(extension(A,B,A,B),reflection(A,B))),inference(rewrite,[status(thm)],[reflection]),[]).
% 
% cnf(169653120,plain,(~between(u,v,extension(u,v,u,v))),inference(paramodulation,[status(thm)],[157476392,157472352,theory(equality)]),[]).
% 
% fof(segment_construction1,plain,(between(A,B,extension(A,B,C,D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO054-2.tptp',unknown),[]).
% 
% cnf(157264608,plain,(between(A,B,extension(A,B,C,D))),inference(rewrite,[status(thm)],[segment_construction1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169653120,157264608]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------