%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO017-3 : 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 11:52:33 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d2,plain,
    ! [A,B,C,D] :
      ( ~ equidistant(A,B,C,D)
      | equidistant(C,D,A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),
    [] ).

cnf(156327400,plain,
    ( ~ equidistant(A,B,C,D)
    | equidistant(C,D,A,B) ),
    inference(rewrite,[status(thm)],[d2]),
    [] ).

fof(u_to_v_equals_w_to_x,plain,
    equidistant(u,v,w,x),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),
    [] ).

cnf(156339048,plain,
    equidistant(u,v,w,x),
    inference(rewrite,[status(thm)],[u_to_v_equals_w_to_x]),
    [] ).

cnf(168319680,plain,
    equidistant(w,x,u,v),
    inference(resolution,[status(thm)],[156327400,156339048]),
    [] ).

fof(d3,plain,
    ! [A,B,C,D] :
      ( ~ equidistant(A,B,C,D)
      | equidistant(B,A,C,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),
    [] ).

cnf(156335784,plain,
    ( ~ equidistant(A,B,C,D)
    | equidistant(B,A,C,D) ),
    inference(rewrite,[status(thm)],[d3]),
    [] ).

fof(prove_symmetry,plain,
    ~ equidistant(u,v,x,w),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),
    [] ).

cnf(156342872,plain,
    ~ equidistant(u,v,x,w),
    inference(rewrite,[status(thm)],[prove_symmetry]),
    [] ).

cnf(168337992,plain,
    ~ equidistant(x,w,u,v),
    inference(resolution,[status(thm)],[156327400,156342872]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168319680,156335784,168337992]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d2,plain,(~equidistant(A,B,C,D)|equidistant(C,D,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),[]).
% 
% cnf(156327400,plain,(~equidistant(A,B,C,D)|equidistant(C,D,A,B)),inference(rewrite,[status(thm)],[d2]),[]).
% 
% fof(u_to_v_equals_w_to_x,plain,(equidistant(u,v,w,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),[]).
% 
% cnf(156339048,plain,(equidistant(u,v,w,x)),inference(rewrite,[status(thm)],[u_to_v_equals_w_to_x]),[]).
% 
% cnf(168319680,plain,(equidistant(w,x,u,v)),inference(resolution,[status(thm)],[156327400,156339048]),[]).
% 
% fof(d3,plain,(~equidistant(A,B,C,D)|equidistant(B,A,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),[]).
% 
% cnf(156335784,plain,(~equidistant(A,B,C,D)|equidistant(B,A,C,D)),inference(rewrite,[status(thm)],[d3]),[]).
% 
% fof(prove_symmetry,plain,(~equidistant(u,v,x,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO017-3.tptp',unknown),[]).
% 
% cnf(156342872,plain,(~equidistant(u,v,x,w)),inference(rewrite,[status(thm)],[prove_symmetry]),[]).
% 
% cnf(168337992,plain,(~equidistant(x,w,u,v)),inference(resolution,[status(thm)],[156327400,156342872]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168319680,156335784,168337992]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------