TSTP Solution File: SWV579-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV579-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:26:52 EDT 2022

% Result   : Timeout 300.11s 300.47s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV579-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun 14 22:58:48 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.89/1.24  *** allocated 10000 integers for termspace/termends
% 0.89/1.24  *** allocated 10000 integers for clauses
% 0.89/1.24  *** allocated 10000 integers for justifications
% 0.89/1.24  *** allocated 15000 integers for termspace/termends
% 0.89/1.24  Bliksem 1.12
% 0.89/1.24  
% 0.89/1.24  
% 0.89/1.24  Automatic Strategy Selection
% 0.89/1.24  
% 0.89/1.24  Clauses:
% 0.89/1.24  [
% 0.89/1.24     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.89/1.24    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.24    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.89/1.24     ) ) ],
% 0.89/1.24     [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.24     ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 0.89/1.24    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'( 
% 0.89/1.24    Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.89/1.24     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.89/1.24    'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'( 
% 0.89/1.24    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'( 
% 0.89/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.25    'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.25    'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), Z ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), T ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.89/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.89/1.25    , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.89/1.25    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.89/1.25    U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( 
% 0.89/1.25    T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.89/1.25    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.89/1.25    T, X, Z ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.89/1.25    'c_in'( Y, X, T ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.25    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.89/1.25    'c_in'( Y, X, T ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25    , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25    , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.89/1.25    , 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, Y, X
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U, 
% 0.89/1.25    X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.89/1.25    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.25    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.89/1.25    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.89/1.25    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.89/1.25    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.25    , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.89/1.25    'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 0.89/1.25    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.89/1.25    , X, U, Y, W ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.89/1.25    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.25    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.25    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.89/1.25     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.89/1.25    Y, X ) ],
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.25    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.89/1.25    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), X ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.25     [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.89/1.25    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.25     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.25     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.89/1.25    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 0.89/1.25    'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.89/1.25    Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.89/1.25    Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.89/1.25    , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 0.89/1.25    X, Y, Z, U, T, T ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( 'c_in'( Z, T, U ) ), 
% 0.89/1.25    ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25    , T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25    , T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.89/1.25    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25     ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25     ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.25    , T, X ) ) ), =( Z, T ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.89/1.25    =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.25    , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.25     ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.89/1.25    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.89/1.25    , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 0.89/1.25    'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( 
% 0.89/1.25    Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 0.89/1.25    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), 'c_Finite__Set_Osetsum'( 
% 0.89/1.25    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( U, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), T, X ) ) ), ~( hBOOL( 'c_in'( U, Z, T ) ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Set_Oinsert'( 
% 0.89/1.25    Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X ) ) ), 
% 0.89/1.25    hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 0.89/1.25    'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ), 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.89/1.25    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'v_f', 'v_g', 'tc_fun'( 
% 0.89/1.25    't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 0.89/1.25     [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.89/1.25    , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 0.89/1.25    'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( T, Z, W ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, 
% 0.89/1.25    Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.89/1.25     ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, 
% 0.89/1.25    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'( 
% 0.89/1.25    W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ), 
% 0.89/1.25    'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( 'c_in'( Z, Y, T )
% 0.89/1.25     ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.25     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.89/1.25    , V3, V4, U ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.89/1.25     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.89/1.25    , V3, V4, U ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 0.89/1.25    Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.89/1.25    hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.89/1.25    , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.89/1.25    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.89/1.25    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.89/1.25     ), Z ), Y ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.89/1.25    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.89/1.25    Y ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Y ), Z ), Z, X ), Y ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.25    , Z, V2, Y ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.25    , V2, Z, Y ) ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.89/1.25    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( 
% 0.89/1.25    'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.25     [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.89/1.25    T ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.89/1.25    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.89/1.25    , Z ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.25    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.89/1.25    , U, V3, V4, T ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.25    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, 
% 0.89/1.25    V2, V3, V4, T ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.89/1.25    X, Z, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.89/1.25    X, Z, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.89/1.25    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'( 
% 0.89/1.25    Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.89/1.25    Y, X ), Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    T, X ), Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.89/1.25    Y, X ), Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    T, X ), Z, X ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.25    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.25     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), Y ), 
% 0.89/1.25    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.89/1.25    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25     ), =( Z, Y ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.89/1.25    Z, Y, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.25    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.25    , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X )
% 0.89/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.89/1.25    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.89/1.25    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.25    , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.89/1.25    Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, X
% 0.89/1.25     ) ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'( 
% 0.89/1.25    'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25    , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.25    , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.25     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.25    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.25    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.25     ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.89/1.25    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.25    , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, 
% 0.89/1.25    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.89/1.25    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.89/1.25    hAPP( X, U ) ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.89/1.25    X, T, U ), Z ) ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.89/1.25    Y, Z, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25     ],
% 0.89/1.25     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, 
% 0.89/1.25    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.89/1.25    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.89/1.25    Y, Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.89/1.25    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.25    , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.89/1.25    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.25    , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.89/1.25     ],
% 0.89/1.25     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ), 
% 0.89/1.25    ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.89/1.25     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.89/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.89/1.25    'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.25     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.25     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.25    , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X )
% 0.89/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'v_m', 'v_n', 'tc_nat' ) ],
% 0.89/1.25     [ =( 'c_GCD_Ogcd__class_OGCD'( 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 
% 0.89/1.25    'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.25     [ =( 'c_GCD_Ogcd__class_OLCM'( 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 
% 0.89/1.25    'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), X ), X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.89/1.25    X, T ), Y ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.89/1.25    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.25    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.25    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.89/1.25    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.89/1.25    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25     ) ), Y ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ), Y ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), X ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), X ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), T ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), T ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 0.89/1.25    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.89/1.25    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.89/1.25    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.25    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_a' ) ],
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 't_a' ), hAPP( 'v_f', 
% 0.89/1.25    'v_m' ) ), 'c_Finite__Set_Osetsum'( 'v_f', 
% 0.89/1.25    'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_m', 'v_n', 'tc_nat'
% 0.89/1.25     ), 'tc_nat', 't_a' ) ), 'c_Finite__Set_Osetsum'( 'v_f', 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( 'v_m', 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 
% 0.89/1.25    'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_m', 
% 0.89/1.25    'v_n', 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_nat', 't_a' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.89/1.25    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.89/1.25    'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.89/1.25     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.25     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.25     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.89/1.25    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.25     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.89/1.25    Y ) ) ],
% 0.89/1.25     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.25     ],
% 0.89/1.25     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.25     ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.89/1.25  ] .
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  percentage equality = 0.214286, percentage horn = 0.877996
% 0.89/1.25  This is a problem with some equality
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  Options Used:
% 0.89/1.25  
% 0.89/1.25  useres =            1
% 0.89/1.25  useparamod =        1
% 0.89/1.25  useeqrefl =         1
% 0.89/1.25  useeqfact =         1
% 0.89/1.25  usefactor =         1
% 0.89/1.25  usesimpsplitting =  0
% 0.89/1.25  usesimpdemod =      5
% 0.89/1.25  usesimpres =        3
% 0.89/1.25  
% 0.89/1.25  resimpinuse      =  1000
% 0.89/1.25  resimpclauses =     20000
% 0.89/1.25  substype =          eqrewr
% 0.89/1.25  backwardsubs =      1
% 0.89/1.25  selectoldest =      5
% 0.89/1.25  
% 0.89/1.25  litorderings [0] =  split
% 0.89/1.25  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.89/1.25  
% 0.89/1.25  termordering =      kbo
% 0.89/1.25  
% 0.89/1.25  litapriori =        0
% 0.89/1.25  termapriori =       1
% 0.89/1.25  litaposteriori =    0
% 0.89/1.25  termaposteriori =   0
% 0.89/1.25  demodaposteriori =  0
% 0.89/1.25  ordereqreflfact =   0
% 0.89/1.25  
% 0.89/1.25  litselect =         negord
% 0.89/1.25  
% 0.89/1.25  maxweight =         15
% 0.89/1.25  maxdepth =          30000
% 0.89/1.25  maxlength =         115
% 0.89/1.25  maxnrvars =         195
% 0.89/1.25  excuselevel =       1
% 0.89/1.25  increasemaxweight = 1
% 0.89/1.25  
% 0.89/1.25  maxselected =       10000000
% 0.89/1.25  maxnrclauses =      10000000
% 0.89/1.25  
% 0.89/1.25  showgenerated =    0
% 0.89/1.25  showkept =         0
% 0.89/1.25  showselected =     0
% 0.89/1.25  showdeleted =      0
% 0.89/1.25  showresimp =       1
% 2.33/2.75  showstatus =       2000
% 2.33/2.75  
% 2.33/2.75  prologoutput =     1
% 2.33/2.75  nrgoals =          5000000
% 2.33/2.75  totalproof =       1
% 2.33/2.75  
% 2.33/2.75  Symbols occurring in the translation:
% 2.33/2.75  
% 2.33/2.75  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 2.33/2.75  .  [1, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 2.33/2.75  !  [4, 1]      (w:0, o:65, a:1, s:1, b:0), 
% 2.33/2.75  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.33/2.75  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.33/2.75  hAPP  [41, 2]      (w:1, o:130, a:1, s:1, b:0), 
% 2.33/2.75  'tc_bool'  [45, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 2.33/2.75  'tc_fun'  [46, 2]      (w:1, o:131, a:1, s:1, b:0), 
% 2.33/2.75  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [47, 4]      (w:1
% 2.33/2.75    , o:155, a:1, s:1, b:0), 
% 2.33/2.75  'c_lessequals'  [48, 3]      (w:1, o:143, a:1, s:1, b:0), 
% 2.33/2.75  'c_in'  [49, 3]      (w:1, o:144, a:1, s:1, b:0), 
% 2.33/2.75  hBOOL  [50, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 2.33/2.75  'c_Finite__Set_Ofinite'  [52, 2]      (w:1, o:132, a:1, s:1, b:0), 
% 2.33/2.75  'c_Orderings_Obot__class_Obot'  [54, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 2.33/2.75  'c_Set_Oinsert'  [55, 3]      (w:1, o:145, a:1, s:1, b:0), 
% 2.33/2.75  'class_Orderings_Olinorder'  [56, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 2.33/2.75  'c_SetInterval_Oord__class_OatLeastLessThan'  [59, 3]      (w:1, o:146, a:1
% 2.33/2.75    , s:1, b:0), 
% 2.33/2.75  'c_HOL_Oord__class_Oless'  [61, 3]      (w:1, o:147, a:1, s:1, b:0), 
% 2.33/2.75  'c_HOL_Ominus__class_Ominus'  [62, 3]      (w:1, o:148, a:1, s:1, b:0), 
% 2.33/2.75  'c_Lattices_Oupper__semilattice__class_Osup'  [63, 3]      (w:1, o:149, a:1
% 2.33/2.75    , s:1, b:0), 
% 2.33/2.75  'class_Orderings_Oorder'  [65, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 2.33/2.75  'c_SetInterval_Oord__class_OatLeastAtMost'  [66, 3]      (w:1, o:150, a:1
% 2.33/2.75    , s:1, b:0), 
% 2.33/2.75  'c_Finite__Set_Ofold__graph'  [70, 6]      (w:1, o:158, a:1, s:1, b:0), 
% 2.33/2.75  'class_OrderedGroup_Ocomm__monoid__add'  [71, 1]      (w:1, o:74, a:1, s:1
% 2.33/2.75    , b:0), 
% 2.33/2.75  'c_Finite__Set_Osetsum'  [72, 4]      (w:1, o:156, a:1, s:1, b:0), 
% 2.33/2.75  'c_HOL_Ozero__class_Ozero'  [73, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 2.33/2.75  'c_Finite__Set_Olinorder__class_OMin'  [75, 2]      (w:1, o:133, a:1, s:1
% 2.33/2.75    , b:0), 
% 2.33/2.75  'c_Finite__Set_Olinorder__class_OMax'  [77, 2]      (w:1, o:134, a:1, s:1
% 2.33/2.75    , b:0), 
% 2.33/2.75  'class_OrderedGroup_Oab__group__add'  [78, 1]      (w:1, o:76, a:1, s:1, b:
% 2.33/2.75    0), 
% 2.33/2.75  'class_HOL_Oord'  [82, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 2.33/2.75  'c_Set_Ovimage'  [85, 4]      (w:1, o:157, a:1, s:1, b:0), 
% 2.33/2.75  'class_Finite__Set_Ofinite_Ofinite'  [86, 1]      (w:1, o:78, a:1, s:1, b:0
% 2.33/2.75    ), 
% 2.33/2.75  'c_Nitpick_Ofold__graph_H'  [87, 6]      (w:1, o:159, a:1, s:1, b:0), 
% 2.33/2.75  'c_HOL_Oplus__class_Oplus'  [90, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 2.33/2.75  'c_Finite__Set_Ofold1Set'  [91, 3]      (w:1, o:151, a:1, s:1, b:0), 
% 2.33/2.75  'class_Ring__and__Field_Oidom'  [92, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 2.33/2.75  'class_Int_Onumber__ring'  [93, 1]      (w:1, o:82, a:1, s:1, b:0), 
% 2.33/2.75  'class_OrderedGroup_Ogroup__add'  [94, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 2.33/2.75    
% 2.33/2.75  'class_OrderedGroup_Opordered__comm__monoid__add'  [95, 1]      (w:1, o:84
% 2.33/2.75    , a:1, s:1, b:0), 
% 2.33/2.75  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [99, 1]      
% 2.33/2.75    (w:1, o:85, a:1, s:1, b:0), 
% 2.33/2.75  'class_Orderings_Opreorder'  [100, 1]      (w:1, o:86, a:1, s:1, b:0), 
% 2.33/2.75  'class_Complete__Lattice_Ocomplete__lattice'  [101, 1]      (w:1, o:87, a:1
% 2.33/2.75    , s:1, b:0), 
% 2.33/2.75  'c_SetInterval_Oord__class_OgreaterThanAtMost'  [105, 3]      (w:1, o:152
% 2.33/2.75    , a:1, s:1, b:0), 
% 2.33/2.75  'class_Ring__and__Field_Oordered__idom'  [108, 1]      (w:1, o:88, a:1, s:1
% 2.33/2.75    , b:0), 
% 2.33/2.75  'class_OrderedGroup_Olordered__ab__group__add'  [109, 1]      (w:1, o:89
% 2.33/2.75    , a:1, s:1, b:0), 
% 2.33/2.75  'class_Ring__and__Field_Oring'  [110, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 2.33/2.75  'c_Finite__Set_Ofold1'  [111, 3]      (w:1, o:153, a:1, s:1, b:0), 
% 2.33/2.75  't_b'  [112, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 2.33/2.75  'class_Lattices_Olattice'  [113, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 2.33/2.75  'v_f'  [114, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 2.33/2.75  'v_g'  [115, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 2.33/2.75  't_a'  [116, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 2.33/2.75  'v_x'  [117, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 2.33/2.75  'tc_nat'  [118, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 2.33/2.75  'c_Complete__Lattice_Ocomplete__lattice'  [127, 9]      (w:1, o:160, a:1
% 2.33/2.75    , s:1, b:0), 
% 2.33/2.75  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [128, 1]      
% 2.33/2.75    (w:1, o:92, a:1, s:1, b:0), 
% 2.33/2.75  'class_OrderedGroup_Opordered__ab__group__add'  [129, 1]      (w:1, o:93
% 11.72/12.11    , a:1, s:1, b:0), 
% 11.72/12.11  'class_OrderedGroup_Opordered__ab__semigroup__add'  [130, 1]      (w:1, o:
% 11.72/12.11    94, a:1, s:1, b:0), 
% 11.72/12.11  'class_OrderedGroup_Omonoid__add'  [131, 1]      (w:1, o:96, a:1, s:1, b:0)
% 11.72/12.11    , 
% 11.72/12.11  'class_Ring__and__Field_Ocomm__semiring__1'  [132, 1]      (w:1, o:97, a:1
% 11.72/12.11    , s:1, b:0), 
% 11.72/12.11  'class_Orderings_Obot'  [133, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 11.72/12.11  'class_Lattices_Oupper__semilattice'  [135, 1]      (w:1, o:99, a:1, s:1
% 11.72/12.11    , b:0), 
% 11.72/12.11  'c_Complete__Lattice_OSup__class_OSup'  [136, 2]      (w:1, o:135, a:1, s:1
% 11.72/12.11    , b:0), 
% 11.72/12.11  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [137, 2]      (w:1, o:136, a:1
% 11.72/12.11    , s:1, b:0), 
% 11.72/12.11  'c_Complete__Lattice_OInf__class_OInf'  [139, 2]      (w:1, o:137, a:1, s:1
% 11.72/12.11    , b:0), 
% 11.72/12.11  'class_Ring__and__Field_Oordered__semidom'  [140, 1]      (w:1, o:100, a:1
% 11.72/12.11    , s:1, b:0), 
% 11.72/12.11  'c_fequal'  [141, 2]      (w:1, o:138, a:1, s:1, b:0), 
% 11.72/12.11  'c_The'  [142, 2]      (w:1, o:140, a:1, s:1, b:0), 
% 11.72/12.11  'c_SetInterval_Oord__class_OgreaterThanLessThan'  [143, 3]      (w:1, o:154
% 11.72/12.11    , a:1, s:1, b:0), 
% 11.72/12.11  'class_HOL_Ominus'  [144, 1]      (w:1, o:81, a:1, s:1, b:0), 
% 11.72/12.11  'c_Set_Ocontents'  [146, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 11.72/12.11  'v_m'  [147, 0]      (w:1, o:58, a:1, s:1, b:0), 
% 11.72/12.11  'v_n'  [148, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 11.72/12.11  'c_GCD_Ogcd__class_OGCD'  [149, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 11.72/12.11  'c_GCD_Ogcd__class_OLCM'  [150, 2]      (w:1, o:142, a:1, s:1, b:0), 
% 11.72/12.11  'class_OrderedGroup_Ocancel__semigroup__add'  [151, 1]      (w:1, o:101, a:
% 11.72/12.11    1, s:1, b:0), 
% 11.72/12.11  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [152, 1]      (w:1, o:102
% 11.72/12.11    , a:1, s:1, b:0), 
% 11.72/12.11  'class_Lattices_Obounded__lattice'  [153, 1]      (w:1, o:103, a:1, s:1, b:
% 11.72/12.11    0), 
% 11.72/12.11  'class_OrderedGroup_Olordered__ab__group__add__join'  [154, 1]      (w:1
% 11.72/12.11    , o:95, a:1, s:1, b:0), 
% 11.72/12.11  'class_OrderedGroup_Oab__semigroup__add'  [155, 1]      (w:1, o:104, a:1
% 11.72/12.11    , s:1, b:0).
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Starting Search:
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    5479
% 11.72/12.11  Kept:         2023
% 11.72/12.11  Inuse:        176
% 11.72/12.11  Deleted:      5
% 11.72/12.11  Deletedinuse: 0
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    15005
% 11.72/12.11  Kept:         4089
% 11.72/12.11  Inuse:        299
% 11.72/12.11  Deleted:      8
% 11.72/12.11  Deletedinuse: 1
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    21985
% 11.72/12.11  Kept:         6094
% 11.72/12.11  Inuse:        365
% 11.72/12.11  Deleted:      8
% 11.72/12.11  Deletedinuse: 1
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    30382
% 11.72/12.11  Kept:         8118
% 11.72/12.11  Inuse:        440
% 11.72/12.11  Deleted:      16
% 11.72/12.11  Deletedinuse: 7
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    40741
% 11.72/12.11  Kept:         11068
% 11.72/12.11  Inuse:        477
% 11.72/12.11  Deleted:      16
% 11.72/12.11  Deletedinuse: 7
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    49089
% 11.72/12.11  Kept:         14477
% 11.72/12.11  Inuse:        494
% 11.72/12.11  Deleted:      17
% 11.72/12.11  Deletedinuse: 7
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    57265
% 11.72/12.11  Kept:         16489
% 11.72/12.11  Inuse:        555
% 11.72/12.11  Deleted:      22
% 11.72/12.11  Deletedinuse: 11
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    67438
% 11.72/12.11  Kept:         18491
% 11.72/12.11  Inuse:        594
% 11.72/12.11  Deleted:      22
% 11.72/12.11  Deletedinuse: 11
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying clauses:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    75649
% 11.72/12.11  Kept:         20909
% 11.72/12.11  Inuse:        630
% 11.72/12.11  Deleted:      381
% 11.72/12.11  Deletedinuse: 11
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    82573
% 11.72/12.11  Kept:         23122
% 11.72/12.11  Inuse:        670
% 11.72/12.11  Deleted:      381
% 11.72/12.11  Deletedinuse: 11
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    89578
% 11.72/12.11  Kept:         25140
% 11.72/12.11  Inuse:        715
% 11.72/12.11  Deleted:      381
% 11.72/12.11  Deletedinuse: 11
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    96865
% 11.72/12.11  Kept:         27146
% 11.72/12.11  Inuse:        754
% 11.72/12.11  Deleted:      382
% 11.72/12.11  Deletedinuse: 12
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  Resimplifying inuse:
% 11.72/12.11  Done
% 11.72/12.11  
% 11.72/12.11  
% 11.72/12.11  Intermediate Status:
% 11.72/12.11  Generated:    103616
% 11.72/12.11  Kept:         29147
% 11.72/12.11  Inuse:        788
% 11.72/12.11  Deleted:      382
% 11.72/12.11  Deletedinuse: 12
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    111662
% 125.77/126.20  Kept:         31278
% 125.77/126.20  Inuse:        805
% 125.77/126.20  Deleted:      382
% 125.77/126.20  Deletedinuse: 12
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    118943
% 125.77/126.20  Kept:         33296
% 125.77/126.20  Inuse:        855
% 125.77/126.20  Deleted:      382
% 125.77/126.20  Deletedinuse: 12
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    127665
% 125.77/126.20  Kept:         35486
% 125.77/126.20  Inuse:        870
% 125.77/126.20  Deleted:      383
% 125.77/126.20  Deletedinuse: 13
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    137024
% 125.77/126.20  Kept:         37721
% 125.77/126.20  Inuse:        900
% 125.77/126.20  Deleted:      383
% 125.77/126.20  Deletedinuse: 13
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    150717
% 125.77/126.20  Kept:         40905
% 125.77/126.20  Inuse:        924
% 125.77/126.20  Deleted:      384
% 125.77/126.20  Deletedinuse: 13
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying clauses:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    170052
% 125.77/126.20  Kept:         44306
% 125.77/126.20  Inuse:        958
% 125.77/126.20  Deleted:      664
% 125.77/126.20  Deletedinuse: 13
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    182259
% 125.77/126.20  Kept:         46306
% 125.77/126.20  Inuse:        1004
% 125.77/126.20  Deleted:      664
% 125.77/126.20  Deletedinuse: 13
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    194331
% 125.77/126.20  Kept:         48480
% 125.77/126.20  Inuse:        1049
% 125.77/126.20  Deleted:      664
% 125.77/126.20  Deletedinuse: 13
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    219680
% 125.77/126.20  Kept:         51436
% 125.77/126.20  Inuse:        1074
% 125.77/126.20  Deleted:      665
% 125.77/126.20  Deletedinuse: 14
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    240439
% 125.77/126.20  Kept:         53801
% 125.77/126.20  Inuse:        1083
% 125.77/126.20  Deleted:      666
% 125.77/126.20  Deletedinuse: 14
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    251940
% 125.77/126.20  Kept:         57418
% 125.77/126.20  Inuse:        1090
% 125.77/126.20  Deleted:      667
% 125.77/126.20  Deletedinuse: 14
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    271068
% 125.77/126.20  Kept:         60887
% 125.77/126.20  Inuse:        1117
% 125.77/126.20  Deleted:      669
% 125.77/126.20  Deletedinuse: 16
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying clauses:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    282618
% 125.77/126.20  Kept:         62890
% 125.77/126.20  Inuse:        1124
% 125.77/126.20  Deleted:      1287
% 125.77/126.20  Deletedinuse: 16
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    290816
% 125.77/126.20  Kept:         65358
% 125.77/126.20  Inuse:        1133
% 125.77/126.20  Deleted:      1287
% 125.77/126.20  Deletedinuse: 16
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    302907
% 125.77/126.20  Kept:         67469
% 125.77/126.20  Inuse:        1162
% 125.77/126.20  Deleted:      1287
% 125.77/126.20  Deletedinuse: 16
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    317524
% 125.77/126.20  Kept:         69541
% 125.77/126.20  Inuse:        1197
% 125.77/126.20  Deleted:      1290
% 125.77/126.20  Deletedinuse: 19
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    326915
% 125.77/126.20  Kept:         71716
% 125.77/126.20  Inuse:        1226
% 125.77/126.20  Deleted:      1291
% 125.77/126.20  Deletedinuse: 19
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  Resimplifying inuse:
% 125.77/126.20  Done
% 125.77/126.20  
% 125.77/126.20  
% 125.77/126.20  Intermediate Status:
% 125.77/126.20  Generated:    346428
% 125.77/126.20  Kept:         73740
% 125.77/126.20  Inuse:        1256
% 125.77/126.20  Deleted:      1291
% 125.77/126.20  Deletedinuse: 19
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  
% 125.77/126.21  Intermediate Status:
% 125.77/126.21  Generated:    359926
% 125.77/126.21  Kept:         76073
% 125.77/126.21  Inuse:        1291
% 125.77/126.21  Deleted:      1292
% 125.77/126.21  Deletedinuse: 20
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  
% 125.77/126.21  Intermediate Status:
% 125.77/126.21  Generated:    375467
% 125.77/126.21  Kept:         78261
% 125.77/126.21  Inuse:        1331
% 125.77/126.21  Deleted:      1292
% 125.77/126.21  Deletedinuse: 20
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  
% 125.77/126.21  Intermediate Status:
% 125.77/126.21  Generated:    393229
% 125.77/126.21  Kept:         81251
% 125.77/126.21  Inuse:        1350
% 125.77/126.21  Deleted:      1293
% 125.77/126.21  Deletedinuse: 20
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  Resimplifying clauses:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  
% 125.77/126.21  Intermediate Status:
% 125.77/126.21  Generated:    406541
% 125.77/126.21  Kept:         83256
% 125.77/126.21  Inuse:        1383
% 125.77/126.21  Deleted:      1697
% 125.77/126.21  Deletedinuse: 20
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  
% 125.77/126.21  Intermediate Status:
% 125.77/126.21  Generated:    416272
% 125.77/126.21  Kept:         85262
% 125.77/126.21  Inuse:        1403
% 125.77/126.21  Deleted:      1697
% 125.77/126.21  Deletedinuse: 20
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  Resimplifying inuse:
% 125.77/126.21  Done
% 125.77/126.21  
% 125.77/126.21  
% 125.77/126.21  Intermediate Status:
% 125.77/126.21  Generated:    433081
% 125.77/126.21  Kept:         87286
% 125.77/126.21  Inuse:        1439
% 125.77/126.21  Deleted:   Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------