%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LAT279-2 : 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 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:37:09 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Tarski_OPartialOrder__iff_1,plain,
    ! [A,B] :
      ( ~ c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))
      | c_relation_oantisym(c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),
    [] ).

cnf(161511768,plain,
    ( ~ c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))
    | c_relation_oantisym(c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B) ),
    inference(rewrite,[status(thm)],[cls_Tarski_OPartialOrder__iff_1]),
    [] ).

fof(cls_Tarski_Ocl_A_58_APartialOrder_0,plain,
    c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),
    [] ).

cnf(161516760,plain,
    c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit)),
    inference(rewrite,[status(thm)],[cls_Tarski_Ocl_A_58_APartialOrder_0]),
    [] ).

cnf(169327096,plain,
    c_relation_oantisym(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),t_a),
    inference(resolution,[status(thm)],[161511768,161516760]),
    [] ).

fof(cls_conjecture_0,plain,
    ~ c_relation_oantisym(v_r,t_a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),
    [] ).

cnf(161505032,plain,
    ~ c_relation_oantisym(v_r,t_a),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,
    $equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),
    [] ).

cnf(161525712,plain,
    $equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r),
    inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[169327096,161505032,161525712,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Tarski_OPartialOrder__iff_1,plain,(~c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))|c_relation_oantisym(c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),[]).
% 
% cnf(161511768,plain,(~c_in(A,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(B,tc_product__type_ounit))|c_relation_oantisym(c_tarski_opotype_oorder(A,B,tc_product__type_ounit),B)),inference(rewrite,[status(thm)],[cls_Tarski_OPartialOrder__iff_1]),[]).
% 
% fof(cls_Tarski_Ocl_A_58_APartialOrder_0,plain,(c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),[]).
% 
% cnf(161516760,plain,(c_in(v_cl,c_tarski_opartialorder,tc_tarski_opotype_opotype__ext__type(t_a,tc_product__type_ounit))),inference(rewrite,[status(thm)],[cls_Tarski_Ocl_A_58_APartialOrder_0]),[]).
% 
% cnf(169327096,plain,(c_relation_oantisym(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),t_a)),inference(resolution,[status(thm)],[161511768,161516760]),[]).
% 
% fof(cls_conjecture_0,plain,(~c_relation_oantisym(v_r,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),[]).
% 
% cnf(161505032,plain,(~c_relation_oantisym(v_r,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT279-2.tptp',unknown),[]).
% 
% cnf(161525712,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[169327096,161505032,161525712,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------