%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : ANA013-2 : TPTP v3.4.2. Released v3.2.0.
% 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 11:24:07 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            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 :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :    9 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Orderings_Oorder__class_Oaxioms__1_0,plain,
    ! [A,B] :
      ( ~ class_orderings_oorder(A)
      | c_lessequals(B,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),
    [] ).

cnf(156454480,plain,
    ( ~ class_orderings_oorder(A)
    | c_lessequals(B,B,A) ),
    inference(rewrite,[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0]),
    [] ).

fof(clsrel_Ring__and__Field_Oordered__idom_44,plain,
    ! [A] :
      ( ~ class_ring__and__field_oordered__idom(A)
      | class_orderings_oorder(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),
    [] ).

cnf(156465120,plain,
    ( ~ class_ring__and__field_oordered__idom(A)
    | class_orderings_oorder(A) ),
    inference(rewrite,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44]),
    [] ).

fof(tfree_tcs,plain,
    class_ring__and__field_oordered__idom(t_b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),
    [] ).

cnf(156441368,plain,
    class_ring__and__field_oordered__idom(t_b),
    inference(rewrite,[status(thm)],[tfree_tcs]),
    [] ).

cnf(166873440,plain,
    class_orderings_oorder(t_b),
    inference(resolution,[status(thm)],[156465120,156441368]),
    [] ).

cnf(166883976,plain,
    c_lessequals(A,A,t_b),
    inference(resolution,[status(thm)],[156454480,166873440]),
    [] ).

fof(cls_conjecture_0,plain,
    ! [A] : ~ c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),
    [] ).

cnf(156436472,plain,
    ~ c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[166883976,156436472]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_Orderings_Oorder__class_Oaxioms__1_0,plain,(~class_orderings_oorder(A)|c_lessequals(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),[]).
% 
% cnf(156454480,plain,(~class_orderings_oorder(A)|c_lessequals(B,B,A)),inference(rewrite,[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0]),[]).
% 
% fof(clsrel_Ring__and__Field_Oordered__idom_44,plain,(~class_ring__and__field_oordered__idom(A)|class_orderings_oorder(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),[]).
% 
% cnf(156465120,plain,(~class_ring__and__field_oordered__idom(A)|class_orderings_oorder(A)),inference(rewrite,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44]),[]).
% 
% fof(tfree_tcs,plain,(class_ring__and__field_oordered__idom(t_b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),[]).
% 
% cnf(156441368,plain,(class_ring__and__field_oordered__idom(t_b)),inference(rewrite,[status(thm)],[tfree_tcs]),[]).
% 
% cnf(166873440,plain,(class_orderings_oorder(t_b)),inference(resolution,[status(thm)],[156465120,156441368]),[]).
% 
% cnf(166883976,plain,(c_lessequals(A,A,t_b)),inference(resolution,[status(thm)],[156454480,166873440]),[]).
% 
% fof(cls_conjecture_0,plain,(~c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ANA/ANA013-2.tptp',unknown),[]).
% 
% cnf(156436472,plain,(~c_lessequals(c_times(c_hol_oabs(v_c,t_b),c_hol_oabs(v_f(v_x(A)),t_b),t_b),c_times(A,c_hol_oabs(v_f(v_x(A)),t_b),t_b),t_b)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[166883976,156436472]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------