TSTP Solution File: SWV887-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV887-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 16:29:02 EDT 2022

% Result   : Timeout 300.03s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV887-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.13/0.36  % Computer : n013.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % DateTime : Wed Jun 15 08:58:59 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.96/1.36  *** allocated 10000 integers for termspace/termends
% 0.96/1.36  *** allocated 10000 integers for clauses
% 0.96/1.36  *** allocated 10000 integers for justifications
% 0.96/1.36  *** allocated 15000 integers for termspace/termends
% 0.96/1.36  Bliksem 1.12
% 0.96/1.36  
% 0.96/1.36  
% 0.96/1.36  Automatic Strategy Selection
% 0.96/1.36  
% 0.96/1.36  Clauses:
% 0.96/1.36  [
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.96/1.36    , Y ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.96/1.36    , Y ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 0.96/1.36    , X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ), 
% 0.96/1.36    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.96/1.36    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.36    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.96/1.36    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X )
% 0.96/1.36     ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), ~( 'c_lessequals'( U, T, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.96/1.36    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.96/1.36    U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( 
% 0.96/1.36    T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.96/1.36    'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.96/1.36    'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.96/1.36    'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.96/1.36    , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( 
% 0.96/1.36    X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.96/1.36     ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.96/1.36    , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.96/1.36     ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.36    , 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hBOOL( 'c_in'( U, T, Z ) ), 
% 0.96/1.36    ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.96/1.36    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.96/1.36    , U ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL( 
% 0.96/1.36    'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ) ],
% 0.96/1.36     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.96/1.36    ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP( Y, X ), 
% 0.96/1.36    'c_Option_Ooption_ONone'( T ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.96/1.36    , 'c_Set_Oinsert'( T, Z, X ) ), X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), X ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~( 
% 0.96/1.36    'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~( 
% 0.96/1.36    'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~( 
% 0.96/1.36    'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), T, 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), hBOOL( 
% 0.96/1.36    'c_in'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( Z
% 0.96/1.36    , T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.96/1.36    , X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.96/1.36    , X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.96/1.36    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.96/1.36    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL( 
% 0.96/1.36    'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 0.96/1.36    , T, U ) ) ],
% 0.96/1.36     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.96/1.36     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.96/1.36     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.96/1.36    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.36     ), =( Z, Y ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.96/1.36    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.96/1.36    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.36    , Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.36    , Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.36    , X ) ) ],
% 0.96/1.36     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.96/1.36    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.96/1.36    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.96/1.36     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.96/1.36    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.96/1.36     ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.96/1.36     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.96/1.36     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.96/1.36     ), =( Y, W ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.96/1.36     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.96/1.36     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.96/1.36    , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 0.96/1.36    , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z, 
% 0.96/1.36    Y, U ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.96/1.36    , X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.96/1.36    , X, U, Y, W ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.96/1.36    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.36    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.36    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.36    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.36    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.36     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.96/1.36     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.36    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.36     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W, V0, U ), 
% 0.96/1.36    'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X, T ), U, 
% 0.96/1.36    V0 ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.96/1.36    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, 
% 0.96/1.36    U, W ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.96/1.36    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 0.96/1.36    =( Y, Z ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.96/1.36    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 0.96/1.36    =( Y, Z ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.96/1.36     ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.96/1.36    , U ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 0.96/1.36    Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.36     ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.96/1.36    , ~( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.96/1.36    Y, X ) ],
% 0.96/1.36     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Osetsum'( Y, 'c_Set_Oimage'( Z, T, U, W ), W, X ), 
% 0.96/1.36    'c_Finite__Set_Osetsum'( 'c_Fun_Ocomp'( Y, Z, W, X, U ), T, U, X ) ), ~( 
% 0.96/1.36    'c_Fun_Oinj__on'( Z, T, U, W ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( 
% 0.96/1.36    X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.96/1.36    , Z ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z, T ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z, T ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), X ) ],
% 0.96/1.36     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y, Z ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.96/1.36    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.96/1.36    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 0.96/1.36    Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    T ), 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z ) ), Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 0.96/1.36     ), 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( U, T, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.36    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( 
% 0.96/1.36    Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.96/1.36    hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( 
% 0.96/1.36    T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.96/1.36    hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.96/1.36    , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.96/1.36    'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, 
% 0.96/1.36    X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 
% 0.96/1.36    'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 0.96/1.36    , X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), 
% 0.96/1.36    ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), 
% 0.96/1.36    ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.96/1.36    X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_lessequals'( T, W
% 0.96/1.36    , 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), 'c_Map_Odom'( X
% 0.96/1.36    , T, Z ) ), 'c_Set_Oinsert'( Y, U, T ) ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), 'c_Map_Odom'( X
% 0.96/1.36    , T, Z ) ), U ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y, 
% 0.96/1.36    Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.96/1.36    Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.96/1.36    , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 0.96/1.36    X, Y, Z, U, T, T ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.96/1.36    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y, 
% 0.96/1.36    'tc_nat' ) ), hBOOL( 'c_in'( T, Z, Y ) ) ],
% 0.96/1.36     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.96/1.36     ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, 
% 0.96/1.36    Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), 
% 0.96/1.36    Z ), 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 0.96/1.36    'tc_bool' ) ), W ) ), U, W, V0 ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.96/1.36    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Y, 
% 0.96/1.36    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.96/1.36    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.36     ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W, 
% 0.96/1.36    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.96/1.36    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.36     ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.96/1.36    , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y, 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.96/1.36    , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, 
% 0.96/1.36    V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 0.96/1.36    , Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Y, 
% 0.96/1.36    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.96/1.36    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.36     ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W, 
% 0.96/1.36    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.96/1.36    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.36     ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.96/1.36    , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W, 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.96/1.36    , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, 
% 0.96/1.36    V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( 
% 0.96/1.36    X, Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 0.96/1.36    'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 0.96/1.36    ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'( 
% 0.96/1.36    Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.96/1.36    , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.96/1.36    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.96/1.36    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.96/1.36     [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z ) ), Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.96/1.36    'c_Set_Oinsert'( Y, T, Z ), Z, U ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'( 
% 0.96/1.36    hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), T, U )
% 0.96/1.36    , U ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.96/1.36    'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), W ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ) ), T, U ), U ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.96/1.36    'c_Hoare__Mirabelle_OMGT'( Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.96/1.36    ~( 'c_Com_OWT'( Y ) ), hBOOL( 'c_in'( 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ), 'c_Map_Odom'( 
% 0.96/1.36    'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.36    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.96/1.36    T, X, Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.96/1.36    'c_in'( Y, X, T ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.96/1.36    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.96/1.36    'c_in'( Y, X, T ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.96/1.36    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.96/1.36    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 0.96/1.36    Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =( 
% 0.96/1.36    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.96/1.36    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T, 
% 0.96/1.36    'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.36    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.36    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.96/1.36    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.36    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T
% 0.96/1.36    , X ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), Z ), U ), T, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.36     ],
% 0.96/1.36     [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.36    , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), Y ), Z ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.96/1.36    , W ) ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.96/1.36    U ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.96/1.36     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.96/1.36     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.36    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.96/1.36    , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), X ) ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_lessequals'( Y, 'c_Set_Oinsert'( Z, T
% 0.96/1.36    , X ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL( 
% 0.96/1.36    hAPP( X, Z ) ) ],
% 0.96/1.36     [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'( 
% 0.96/1.36    'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.96/1.36    , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.36     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.96/1.36    , T ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.96/1.36    , Z ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.96/1.36    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.96/1.36     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T ), Z ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'( 
% 0.96/1.36    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.96/1.36     ), X ) ],
% 0.96/1.36     [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ), 
% 0.96/1.36    X ), Y ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.96/1.36    , =( Z, W ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.96/1.36    , =( Y, U ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z, 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.96/1.36    , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ), 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP( 
% 0.96/1.36    Z, 'v_x' ) ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ), T ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T )
% 0.96/1.36    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z
% 0.96/1.36     ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP( 
% 0.96/1.36    'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.96/1.36     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.96/1.36    , V3, V4, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.96/1.36     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.96/1.36    , V3, V4, U ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.96/1.36    =( X, Z ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.96/1.36    =( Y, T ) ],
% 0.96/1.36     [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y, X ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.96/1.36    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.96/1.36    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.96/1.36    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.96/1.36    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.96/1.36    , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z
% 0.96/1.36    , X, T ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), X ) )
% 0.96/1.36    , hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.96/1.36    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.36     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.96/1.36    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.96/1.36    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.96/1.36    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), X ), Y ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.96/1.36    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OWhile'( 
% 0.96/1.36    T, U ) ), 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 
% 0.96/1.36    'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 
% 0.96/1.36    'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), Z ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 
% 0.96/1.36    'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.96/1.36    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.96/1.36     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.96/1.36    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.96/1.36     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.96/1.36    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.96/1.36    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.96/1.36    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.96/1.36    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.36     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.96/1.36    , V2, Z, Y ) ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.36     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.96/1.36    , Z, V2, Y ) ) ],
% 0.96/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.36     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.96/1.36    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.36    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), X ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.96/1.36    X, 'tc_bool' ) ), Y ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.36     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.36     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.36     ) ), Z, X ) ) ],
% 0.96/1.36     [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.96/1.36     ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), X ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), Z
% 0.96/1.36     ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.36    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.96/1.36    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.96/1.36    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), X ), X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Z ), 
% 0.96/1.36    hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.96/1.36    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.96/1.36    X, Z, T ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.96/1.36    X, Z, T ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.96/1.36    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.96/1.36    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, 
% 0.96/1.36    V2, V3, V4, T ) ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.96/1.36    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.96/1.36    , U, V3, V4, T ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.96/1.36    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.96/1.36    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.96/1.36    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.36     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.96/1.36    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.96/1.36    T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T, 
% 0.96/1.36    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.96/1.36    , =( X, T ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.96/1.36     ) ) ), =( X, Z ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.96/1.36     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.36     [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ), 
% 0.96/1.36    ~( 'c_Com_OWT'( Y ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.96/1.36    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.96/1.36    , Y, Z, T ) ) ],
% 0.96/1.36     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.36    , 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( U, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.96/1.36    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 
% 0.96/1.36    'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.96/1.36    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__valids'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.96/1.36     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.96/1.36    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.96/1.36     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.96/1.36    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.96/1.36    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.96/1.36    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.96/1.36    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.36    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.36    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.36    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.96/1.36    'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.36     ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.96/1.36     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.96/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.96/1.36    Z, Y, X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.96/1.36    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.36    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ), 
% 0.96/1.36    'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.96/1.36    , 'v_x' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.96/1.36    'c_in'( X, T, Z ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), 
% 0.96/1.36    'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.96/1.36     [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~( 
% 0.96/1.36    'c_Com_OWT'( X ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), 
% 0.96/1.36    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.96/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.96/1.36     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.36    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.96/1.36    Y, X ), Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.36    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    T, X ), Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.36    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.96/1.36    Y, X ), Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.36    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    T, X ), Z, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.36    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.96/1.36    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.96/1.36    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.96/1.36     ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP( 
% 0.96/1.36    'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.96/1.36    , V4 ), W ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'( 
% 0.96/1.36    'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.96/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'( 
% 0.96/1.36    U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ) ), Z ), T ) ), T ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 0.96/1.36     ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 0.96/1.36     ), ~( 'c_lessequals'( U, T, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.96/1.36    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.96/1.36    'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ), 
% 0.96/1.36    ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.96/1.36    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.96/1.36     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.96/1.36    Y, Z, X ) ) ) ],
% 0.96/1.36     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, Z, X ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, X, Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.96/1.36    'c_lessequals'( Z, Y, X ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.96/1.36    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.36    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'c_COMBK'( hAPP( 
% 0.96/1.36    'c_COMBC'( 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y
% 0.96/1.36    , T, Z ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), Z ), 
% 0.96/1.36    'c_COMBK'( hAPP( T, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) )
% 0.96/1.36    , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), =( hAPP( 'c_Com_Obody', 
% 0.96/1.36    X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ), hAPP( 
% 0.96/1.36    'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( hBOOL( 'c_in'( T, W, 
% 0.96/1.36    'tc_Com_Opname' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.96/1.36     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.96/1.36    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ) ), W, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.96/1.36    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.96/1.36     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.96/1.36    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.96/1.36    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.96/1.36    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.96/1.36    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.96/1.36    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.96/1.36    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.96/1.36    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W, 'tc_Com_Opname', 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.96/1.36    , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 0.96/1.36    , hBOOL( hAPP( X, T ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 0.96/1.36    , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 0.96/1.36    , U, X ) ), Y ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 0.96/1.36     ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.96/1.36    Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.96/1.36    Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( 
% 0.96/1.36    X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 0.96/1.36     ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.96/1.36    , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 0.96/1.36    , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 0.96/1.36    'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 0.96/1.36     ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 0.96/1.36    'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~( 
% 0.96/1.36    'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.96/1.36    'c_Hoare__Mirabelle_OMGT'( Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.96/1.36    ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 
% 0.96/1.36    'c_Set_Oinsert'( 'c_Hoare__Mirabelle_OMGT'( hAPP( 'c_Com_Ocom_OBODY', 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.96/1.36     [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ), hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'( 
% 0.96/1.36    'tc_Com_Ostate' ) ), 'v_c' ), 'c_Natural_Oevalc'( 'v_c' ) ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OWhile'( 
% 0.96/1.36    T, U ) ), 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 
% 0.96/1.36    'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 
% 0.96/1.36    'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), Z ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OCond'( 
% 0.96/1.36    T, U, W ) ), V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.96/1.36    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 
% 0.96/1.36    'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.96/1.36    , 'tc_bool', 'tc_Com_Ostate' ), Y ) ), W ), V0 ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 
% 0.96/1.36    'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), V0 ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.96/1.36    'c_Com_Obody', X ) ), Y, 
% 0.96/1.36    'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ), 
% 0.96/1.36    ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ],
% 0.96/1.36     [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 0.96/1.36     ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.96/1.36    'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.96/1.36    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.96/1.36     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.96/1.36    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Y ), 
% 0.96/1.36    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.96/1.36    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.96/1.36    , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.96/1.36     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.96/1.36    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.96/1.36    , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.96/1.36    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), X ) ) ), T ) ) ],
% 0.96/1.36     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.36     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ), 
% 0.96/1.36    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), X ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, 
% 0.96/1.36    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.96/1.36     ],
% 0.96/1.36     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.96/1.36    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), 
% 0.96/1.36    'c_Set_Oinsert'( X, Z, Y ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.96/1.36    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.96/1.36    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.96/1.36    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.36    , hBOOL( hAPP( hAPP( U, W ), 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.96/1.36    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.36    , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, 
% 0.96/1.36    V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.96/1.36    'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~( 
% 0.96/1.36    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.36    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.36    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.36    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( U, W ), 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.96/1.37    , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.96/1.37     ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.96/1.37    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U )
% 0.96/1.37    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( Y, 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.96/1.37    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( T, 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.96/1.37    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.96/1.37    , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.96/1.37    hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z )
% 0.96/1.37    , W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( Y, 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.96/1.37    , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.96/1.37    , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.96/1.37    , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( T, 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 0.96/1.37    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.96/1.37     ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.96/1.37    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W )
% 0.96/1.37    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.96/1.37     ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.96/1.37    , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), 
% 0.96/1.37    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.96/1.37     ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.37    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z
% 0.96/1.37     ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.96/1.37    , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.96/1.37    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'( 
% 0.96/1.37    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.96/1.37    , T ) ), U ), Y ) ) ],
% 0.96/1.37     [ =( 'c_Hoare__Mirabelle_OMGT'( X ), hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'( 
% 0.96/1.37    'tc_Com_Ostate' ) ), X ), 'c_Natural_Oevalc'( X ) ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.96/1.37    , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.96/1.37    , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.96/1.37    ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.96/1.37    , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.96/1.37    , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) )
% 0.96/1.37    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.96/1.37    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_OMGT'( Y ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP'
% 0.96/1.37     ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'( 
% 0.96/1.37    T, U ) ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) )
% 0.96/1.37    , Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 
% 0.96/1.37    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 
% 0.96/1.37    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) ), Y ), Z ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.37    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.96/1.37     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.96/1.37    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.96/1.37    U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.96/1.37     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.96/1.37    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.96/1.37    U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.96/1.37     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.96/1.37    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.96/1.37    U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.96/1.37     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.37     ) ), Y ) ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.96/1.37    'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.96/1.37    , T ) ), U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'( 
% 0.96/1.37    hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.96/1.37    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.96/1.37    X, T ), Y ) ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.96/1.37    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.96/1.37    'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'( 
% 0.96/1.37    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.96/1.37    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.37    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 0.96/1.37    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.96/1.37    , =( X, Y ) ],
% 0.96/1.37     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.96/1.37    'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'( 
% 0.96/1.37    'tc_Com_Ostate' ) ), hAPP( 'c_Com_Ocom_OBODY', 'v_pn' ) ), 
% 0.96/1.37    'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', 'v_pn' ) ) ), 'v_G', 
% 0.96/1.37    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP( 
% 0.96/1.37    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 
% 0.96/1.37    'c_fequal'( 'tc_Com_Ostate' ) ), hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), 
% 0.96/1.37    hAPP( 'c_Com_Obody', 'v_pn' ) ) ), 'c_Natural_Oevalc'( hAPP( 
% 0.96/1.37    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', 'v_pn' ) ) ) ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ],
% 0.96/1.37     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP( 
% 0.96/1.37    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 
% 0.96/1.37    'c_fequal'( 'tc_Com_Ostate' ) ), hAPP( 'c_Com_Ocom_OBODY', 'v_pn' ) ), 
% 0.96/1.37    'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', 'v_pn' ) ) ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.96/1.37    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.96/1.37     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.96/1.37     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.37     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.96/1.37     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.96/1.37    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.96/1.37     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.37     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.37     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.37     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.96/1.37    Y ) ) ],
% 0.96/1.37     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.96/1.37    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.96/1.37  ] .
% 0.96/1.37  
% 0.96/1.37  
% 0.96/1.37  percentage equality = 0.245409, percentage horn = 0.843810
% 0.96/1.37  This is a problem with some equality
% 0.96/1.37  
% 0.96/1.37  
% 0.96/1.37  
% 0.96/1.37  Options Used:
% 0.96/1.37  
% 0.96/1.37  useres =            1
% 0.96/1.37  useparamod =        1
% 0.96/1.37  useeqrefl =         1
% 0.96/1.37  useeqfact =         1
% 0.96/1.37  usefactor =         1
% 0.96/1.37  usesimpsplitting =  0
% 0.96/1.37  usesimpdemod =      5
% 0.96/1.37  usesimpres =        3
% 0.96/1.37  
% 0.96/1.37  resimpinuse      =  1000
% 0.96/1.37  resimpclauses =     20000
% 0.96/1.37  substype =          eqrewr
% 0.96/1.37  backwardsubs =      1
% 0.96/1.37  selectoldest =      5
% 0.96/1.37  
% 0.96/1.37  litorderings [0] =  split
% 0.96/1.37  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.96/1.37  
% 0.96/1.37  termordering =      kbo
% 0.96/1.37  
% 0.96/1.37  litapriori =        0
% 0.96/1.37  termapriori =       1
% 0.96/1.37  litaposteriori =    0
% 0.96/1.37  termaposteriori =   0
% 0.96/1.37  demodaposteriori =  0
% 0.96/1.37  ordereqreflfact =   0
% 0.96/1.37  
% 0.96/1.37  litselect =         negord
% 0.96/1.37  
% 0.96/1.37  maxweight =         15
% 0.96/1.37  maxdepth =          30000
% 0.96/1.37  maxlength =         115
% 0.96/1.37  maxnrvars =         195
% 0.96/1.37  excuselevel =       1
% 0.96/1.37  increasemaxweight = 1
% 0.96/1.37  
% 0.96/1.37  maxselected =       10000000
% 0.96/1.37  maxnrclauses =      10000000
% 0.96/1.37  
% 0.96/1.37  showgenerated =    0
% 0.96/1.37  showkept =         0
% 0.96/1.37  showselected =     0
% 0.96/1.37  showdeleted =      0
% 0.96/1.37  showresimp =       1
% 0.96/1.37  showstatus =       2000
% 0.96/1.37  
% 0.96/1.37  prologoutput =     1
% 0.96/1.37  nrgoals =          5000000
% 0.96/1.37  totalproof =       1
% 0.96/1.37  
% 0.96/1.37  Symbols occurring in the translation:
% 0.96/1.37  
% 0.96/1.37  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.96/1.37  .  [1, 2]      (w:1, o:150, a:1, s:1, b:0), 
% 0.96/1.37  !  [4, 1]      (w:0, o:115, a:1, s:1, b:0), 
% 0.96/1.37  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.37  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.99/1.55  'class_Orderings_Oorder'  [40, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 0.99/1.55  'c_SetInterval_Oord__class_OatLeastLessThan'  [43, 3]      (w:1, o:193, a:1
% 0.99/1.55    , s:1, b:0), 
% 0.99/1.55  'tc_bool'  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.99/1.55  'tc_fun'  [45, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 0.99/1.55  'c_Orderings_Obot__class_Obot'  [46, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 0.99/1.55  'c_HOL_Oord__class_Oless'  [47, 3]      (w:1, o:194, a:1, s:1, b:0), 
% 0.99/1.55  'c_SetInterval_Oord__class_OgreaterThanAtMost'  [50, 3]      (w:1, o:195
% 0.99/1.55    , a:1, s:1, b:0), 
% 0.99/1.55  'c_Fun_Ofun__upd'  [55, 5]      (w:1, o:226, a:1, s:1, b:0), 
% 0.99/1.55  hAPP  [57, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 0.99/1.55  'class_OrderedGroup_Opordered__ab__group__add'  [58, 1]      (w:1, o:123
% 0.99/1.55    , a:1, s:1, b:0), 
% 0.99/1.55  'c_HOL_Ominus__class_Ominus'  [59, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 0.99/1.55  'c_Finite__Set_Ofinite'  [63, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 0.99/1.55  'c_Fun_Oinj__on'  [64, 4]      (w:1, o:210, a:1, s:1, b:0), 
% 0.99/1.55  'c_Set_Oimage'  [65, 4]      (w:1, o:211, a:1, s:1, b:0), 
% 0.99/1.55  'c_lessequals'  [66, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 0.99/1.55  'class_Orderings_Olinorder'  [68, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 0.99/1.55  'class_Orderings_Opreorder'  [69, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.99/1.55  'class_OrderedGroup_Oab__group__add'  [70, 1]      (w:1, o:127, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'c_Finite__Set_Osetsum'  [71, 4]      (w:1, o:212, a:1, s:1, b:0), 
% 0.99/1.55  'c_Set_Oinsert'  [72, 3]      (w:1, o:197, a:1, s:1, b:0), 
% 0.99/1.55  'c_Finite__Set_Ofold__graph'  [73, 6]      (w:1, o:230, a:1, s:1, b:0), 
% 0.99/1.55  'c_in'  [74, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 0.99/1.55  hBOOL  [75, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 0.99/1.55  'c_SetInterval_Oord__class_OatLeastAtMost'  [78, 3]      (w:1, o:199, a:1
% 0.99/1.55    , s:1, b:0), 
% 0.99/1.55  'c_Lattices_Oupper__semilattice__class_Osup'  [81, 3]      (w:1, o:200, a:1
% 0.99/1.55    , s:1, b:0), 
% 0.99/1.55  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [82, 4]      (w:1
% 0.99/1.55    , o:213, a:1, s:1, b:0), 
% 0.99/1.55  'c_Option_Ooption_OSome'  [85, 2]      (w:1, o:179, a:1, s:1, b:0), 
% 0.99/1.55  'c_Map_Odom'  [86, 3]      (w:1, o:201, a:1, s:1, b:0), 
% 0.99/1.55  'c_Option_Ooption_ONone'  [87, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 0.99/1.55  'c_Fun_Ocomp'  [90, 5]      (w:1, o:227, a:1, s:1, b:0), 
% 0.99/1.55  'class_HOL_Oord'  [95, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 0.99/1.55  'class_Ring__and__Field_Oordered__idom'  [96, 1]      (w:1, o:131, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'class_Finite__Set_Ofinite_Ofinite'  [99, 1]      (w:1, o:132, a:1, s:1, b:
% 0.99/1.55    0), 
% 0.99/1.55  'class_OrderedGroup_Ocomm__monoid__add'  [100, 1]      (w:1, o:133, a:1, s:
% 0.99/1.55    1, b:0), 
% 0.99/1.55  'class_Lattices_Oupper__semilattice'  [101, 1]      (w:1, o:134, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'class_Ring__and__Field_Oring'  [102, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 0.99/1.55    
% 0.99/1.55  'c_COMBB'  [103, 5]      (w:1, o:228, a:1, s:1, b:0), 
% 0.99/1.55  'c_COMBS'  [104, 5]      (w:1, o:229, a:1, s:1, b:0), 
% 0.99/1.55  'c_Finite__Set_Olinorder__class_OMax'  [105, 2]      (w:1, o:180, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'c_Finite__Set_Olinorder__class_OMin'  [106, 2]      (w:1, o:181, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'c_Finite__Set_Ofold1Set'  [107, 3]      (w:1, o:202, a:1, s:1, b:0), 
% 0.99/1.55  'tc_nat'  [108, 0]      (w:1, o:69, a:1, s:1, b:0), 
% 0.99/1.55  't_b'  [111, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 0.99/1.55  'c_Hoare__Mirabelle_Otriple_Otriple'  [112, 1]      (w:1, o:136, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'tc_Com_Ostate'  [114, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 0.99/1.55  'tc_Com_Ocom'  [115, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 0.99/1.55  'tc_Hoare__Mirabelle_Otriple'  [116, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 0.99/1.55  't_a'  [117, 0]      (w:1, o:72, a:1, s:1, b:0), 
% 0.99/1.55  'c_Hoare__Mirabelle_Ohoare__derivs'  [121, 3]      (w:1, o:203, a:1, s:1
% 0.99/1.55    , b:0), 
% 0.99/1.55  'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'  [124, 6]      (w:1, o:231
% 0.99/1.55    , a:1, s:1, b:0), 
% 0.99/1.55  'c_Hoare__Mirabelle_OMGT'  [125, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 0.99/1.55  'c_Com_OWT'  [126, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 0.99/1.55  'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'  [127, 1]      (w:1, o:140, a:1
% 0.99/1.55    , s:1, b:0), 
% 0.99/1.55  'c_Com_Obody'  [128, 0]      (w:1, o:82, a:1, s:1, b:0), 
% 0.99/1.55  'tc_Com_Opname'  [129, 0]      (w:1, o:83, a:1, s:1, b:0), 
% 0.99/1.55  'c_Hoare__Mirabelle_Ostate__not__singleton'  [130, 0]      (w:1, o:84, a:1
% 0.99/1.55    , s:1, b:0), 
% 0.99/1.55  'class_Complete__Lattice_Ocomplete__lattice'  [131, 1]      (w:1, o:141, a:
% 0.99/1.55    1, s:1, b:0), 
% 0.99/1.55  'c_COMBK'  [132, 3]      (w:1, o:204, a:1, s:1, b:0), 
% 7.51/7.91  'c_Collect'  [133, 2]      (w:1, o:182, a:1, s:1, b:0), 
% 7.51/7.91  'c_Com_Ocom_OSKIP'  [134, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 7.51/7.91  'c_Com_Ocom_OCond'  [138, 3]      (w:1, o:205, a:1, s:1, b:0), 
% 7.51/7.91  'c_COMBC'  [142, 4]      (w:1, o:214, a:1, s:1, b:0), 
% 7.51/7.91  'c_Complete__Lattice_Ocomplete__lattice'  [148, 9]      (w:1, o:234, a:1
% 7.51/7.91    , s:1, b:0), 
% 7.51/7.91  'class_Lattices_Olattice'  [149, 1]      (w:1, o:142, a:1, s:1, b:0), 
% 7.51/7.91  'c_Com_Ocom_OSemi'  [151, 2]      (w:1, o:183, a:1, s:1, b:0), 
% 7.51/7.91  'c_Natural_Oevaln'  [154, 4]      (w:1, o:215, a:1, s:1, b:0), 
% 7.51/7.91  'c_Com_Ocom_OWhile'  [157, 2]      (w:1, o:184, a:1, s:1, b:0), 
% 7.51/7.91  'v_x'  [163, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 7.51/7.91  'c_Finite__Set_Ofold1'  [164, 3]      (w:1, o:206, a:1, s:1, b:0), 
% 7.51/7.91  'c_The'  [165, 2]      (w:1, o:186, a:1, s:1, b:0), 
% 7.51/7.91  'c_Complete__Lattice_OSup__class_OSup'  [169, 2]      (w:1, o:187, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'c_Hoare__Mirabelle_Otriple__valid'  [170, 3]      (w:1, o:207, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'c_Suc'  [171, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 7.51/7.91  'c_fequal'  [174, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 7.51/7.91  'class_HOL_Ominus'  [175, 1]      (w:1, o:145, a:1, s:1, b:0), 
% 7.51/7.91  'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'  [177, 4]      (w:1
% 7.51/7.91    , o:216, a:1, s:1, b:0), 
% 7.51/7.91  'c_Com_Ocom_OBODY'  [178, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 7.51/7.91  'c_Not'  [179, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 7.51/7.91  'c_Hoare__Mirabelle_Opeek__and'  [180, 3]      (w:1, o:208, a:1, s:1, b:0)
% 7.51/7.91    , 
% 7.51/7.91  'c_Hoare__Mirabelle_Ohoare__valids'  [181, 3]      (w:1, o:209, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'c_Option_Othe'  [183, 1]      (w:1, o:146, a:1, s:1, b:0), 
% 7.51/7.91  'tc_Option_Ooption'  [184, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 7.51/7.91  'class_Lattices_Obounded__lattice'  [185, 1]      (w:1, o:148, a:1, s:1, b:
% 7.51/7.91    0), 
% 7.51/7.91  'class_Orderings_Obot'  [186, 1]      (w:1, o:149, a:1, s:1, b:0), 
% 7.51/7.91  'c_Complete__Lattice_OInf__class_OInf'  [197, 2]      (w:1, o:188, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xescape__2'  [203, 4]      (w:1, o:218, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xescape__1'  [204, 4]      (w:1, o:217, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'c_Natural_Oevalc'  [206, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 7.51/7.91  'v_c'  [207, 0]      (w:1, o:107, a:1, s:1, b:0), 
% 7.51/7.91  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [208, 2]      (w:1, o:178, a:1
% 7.51/7.91    , s:1, b:0), 
% 7.51/7.91  'c_Set_Ocontents'  [209, 2]      (w:1, o:185, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'  [211, 6]      (w:1
% 7.51/7.91    , o:232, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'  [212, 4]      (w:1
% 7.51/7.91    , o:220, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq12__3'  [213, 4]      (w:1, o:223, a:1, s:
% 7.51/7.91    1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq12__2'  [214, 4]      (w:1, o:222, a:1, s:
% 7.51/7.91    1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'  [215, 6]      (w:
% 7.51/7.91    1, o:233, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'  [216, 4]      (w:
% 7.51/7.91    1, o:225, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'  [217, 4]      (w:
% 7.51/7.91    1, o:224, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'  [218, 4]      (w:1
% 7.51/7.91    , o:219, a:1, s:1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq2__1'  [219, 2]      (w:1, o:191, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq2__2'  [220, 2]      (w:1, o:192, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq12__1'  [221, 4]      (w:1, o:221, a:1, s:
% 7.51/7.91    1, b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq1__1'  [222, 2]      (w:1, o:189, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'v_sko__Hoare__Mirabelle__Xconseq1__2'  [223, 2]      (w:1, o:190, a:1, s:1
% 7.51/7.91    , b:0), 
% 7.51/7.91  'v_pn'  [229, 0]      (w:1, o:110, a:1, s:1, b:0), 
% 7.51/7.91  'v_G'  [230, 0]      (w:1, o:111, a:1, s:1, b:0).
% 7.51/7.91  
% 7.51/7.91  
% 7.51/7.91  Starting Search:
% 7.51/7.91  
% 7.51/7.91  Resimplifying inuse:
% 7.51/7.91  Done
% 7.51/7.91  
% 7.51/7.91  
% 7.51/7.91  Intermediate Status:
% 7.51/7.91  Generated:    4137
% 7.51/7.91  Kept:         2025
% 7.51/7.91  Inuse:        137
% 7.51/7.91  Deleted:      18
% 7.51/7.91  Deletedinuse: 14
% 7.51/7.91  
% 7.51/7.91  Resimplifying inuse:
% 7.51/7.91  Done
% 7.51/7.91  
% 7.51/7.91  Resimplifying inuse:
% 7.51/7.91  Done
% 7.51/7.91  
% 7.51/7.91  
% 7.51/7.91  Intermediate Status:
% 7.51/7.91  Generated:    8788
% 7.51/7.91  Kept:         4129
% 7.51/7.91  Inuse:        191
% 7.51/7.91  Deleted:      21
% 7.51/7.91  Deletedinuse: 15
% 7.51/7.91  
% 7.51/7.91  Resimplifying inuse:
% 7.51/7.91  Done
% 7.51/7.91  
% 7.51/7.91  Resimplifying inuse:
% 7.51/7.91  Done
% 7.51/7.91  
% 7.51/7.91  
% 7.51/7.91  Intermediate Status:
% 7.51/7.91  Generated:    17393
% 28.24/28.63  Kept:         6220
% 28.24/28.63  Inuse:        298
% 28.24/28.63  Deleted:      24
% 28.24/28.63  Deletedinuse: 16
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  
% 28.24/28.63  Intermediate Status:
% 28.24/28.63  Generated:    26768
% 28.24/28.63  Kept:         8264
% 28.24/28.63  Inuse:        355
% 28.24/28.63  Deleted:      24
% 28.24/28.63  Deletedinuse: 16
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  
% 28.24/28.63  Intermediate Status:
% 28.24/28.63  Generated:    34297
% 28.24/28.63  Kept:         10264
% 28.24/28.63  Inuse:        420
% 28.24/28.63  Deleted:      25
% 28.24/28.63  Deletedinuse: 16
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  
% 28.24/28.63  Intermediate Status:
% 28.24/28.63  Generated:    42868
% 28.24/28.63  Kept:         12283
% 28.24/28.63  Inuse:        455
% 28.24/28.63  Deleted:      25
% 28.24/28.63  Deletedinuse: 16
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  
% 28.24/28.63  Intermediate Status:
% 28.24/28.63  Generated:    49174
% 28.24/28.63  Kept:         14324
% 28.24/28.63  Inuse:        481
% 28.24/28.63  Deleted:      26
% 28.24/28.63  Deletedinuse: 17
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  
% 28.24/28.63  Intermediate Status:
% 28.24/28.63  Generated:    54610
% 28.24/28.63  Kept:         16396
% 28.24/28.63  Inuse:        512
% 28.24/28.63  Deleted:      28
% 28.24/28.63  Deletedinuse: 17
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  Resimplifying inuse:
% 28.24/28.63  Done
% 28.24/28.63  
% 28.24/28.63  
% 28.24/28.63  Intermediate Status:
% 28.24/28.63  Generated:    61615
% 28.24/28.63  Kept:         18583
% 28.24/28.64  Inuse:        545
% 28.24/28.64  Deleted:      28
% 28.24/28.64  Deletedinuse: 17
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying clauses:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    70352
% 28.24/28.64  Kept:         20587
% 28.24/28.64  Inuse:        574
% 28.24/28.64  Deleted:      348
% 28.24/28.64  Deletedinuse: 17
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    81765
% 28.24/28.64  Kept:         22878
% 28.24/28.64  Inuse:        595
% 28.24/28.64  Deleted:      349
% 28.24/28.64  Deletedinuse: 18
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    90068
% 28.24/28.64  Kept:         24950
% 28.24/28.64  Inuse:        617
% 28.24/28.64  Deleted:      349
% 28.24/28.64  Deletedinuse: 18
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    97621
% 28.24/28.64  Kept:         27070
% 28.24/28.64  Inuse:        650
% 28.24/28.64  Deleted:      350
% 28.24/28.64  Deletedinuse: 19
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    109144
% 28.24/28.64  Kept:         29398
% 28.24/28.64  Inuse:        690
% 28.24/28.64  Deleted:      350
% 28.24/28.64  Deletedinuse: 19
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    119104
% 28.24/28.64  Kept:         31473
% 28.24/28.64  Inuse:        715
% 28.24/28.64  Deleted:      350
% 28.24/28.64  Deletedinuse: 19
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    127896
% 28.24/28.64  Kept:         33475
% 28.24/28.64  Inuse:        779
% 28.24/28.64  Deleted:      355
% 28.24/28.64  Deletedinuse: 24
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    137050
% 28.24/28.64  Kept:         35986
% 28.24/28.64  Inuse:        790
% 28.24/28.64  Deleted:      356
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    145275
% 28.24/28.64  Kept:         38103
% 28.24/28.64  Inuse:        795
% 28.24/28.64  Deleted:      356
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    159580
% 28.24/28.64  Kept:         40825
% 28.24/28.64  Inuse:        835
% 28.24/28.64  Deleted:      356
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying clauses:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    172498
% 28.24/28.64  Kept:         43041
% 28.24/28.64  Inuse:        865
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    188692
% 28.24/28.64  Kept:         46834
% 28.24/28.64  Inuse:        900
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    198085
% 28.24/28.64  Kept:         49122
% 28.24/28.64  Inuse:        905
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    207068
% 28.24/28.64  Kept:         51136
% 28.24/28.64  Inuse:        942
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    220687
% 28.24/28.64  Kept:         53394
% 28.24/28.64  Inuse:        965
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    224451
% 28.24/28.64  Kept:         55402
% 28.24/28.64  Inuse:        966
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    238615
% 28.24/28.64  Kept:         58207
% 28.24/28.64  Inuse:        980
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  
% 28.24/28.64  Intermediate Status:
% 28.24/28.64  Generated:    250135
% 28.24/28.64  Kept:         60272
% 28.24/28.64  Inuse:        995
% 28.24/28.64  Deleted:      631
% 28.24/28.64  Deletedinuse: 25
% 28.24/28.64  
% 28.24/28.64  Resimplifying inuse:
% 28.24/28.64  Done
% 28.24/28.64  
% 28.24/28.64  Resimplifying clauses:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    265984
% 70.73/71.12  Kept:         62275
% 70.73/71.12  Inuse:        1025
% 70.73/71.12  Deleted:      673
% 70.73/71.12  Deletedinuse: 25
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    276216
% 70.73/71.12  Kept:         64335
% 70.73/71.12  Inuse:        1034
% 70.73/71.12  Deleted:      682
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    292034
% 70.73/71.12  Kept:         67676
% 70.73/71.12  Inuse:        1059
% 70.73/71.12  Deleted:      682
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    310343
% 70.73/71.12  Kept:         69718
% 70.73/71.12  Inuse:        1088
% 70.73/71.12  Deleted:      682
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    324966
% 70.73/71.12  Kept:         71724
% 70.73/71.12  Inuse:        1108
% 70.73/71.12  Deleted:      682
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    341712
% 70.73/71.12  Kept:         75262
% 70.73/71.12  Inuse:        1124
% 70.73/71.12  Deleted:      682
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    350941
% 70.73/71.12  Kept:         77316
% 70.73/71.12  Inuse:        1153
% 70.73/71.12  Deleted:      682
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    362997
% 70.73/71.12  Kept:         81852
% 70.73/71.12  Inuse:        1173
% 70.73/71.12  Deleted:      684
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying clauses:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    378131
% 70.73/71.12  Kept:         84020
% 70.73/71.12  Inuse:        1187
% 70.73/71.12  Deleted:      997
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    405080
% 70.73/71.12  Kept:         86374
% 70.73/71.12  Inuse:        1202
% 70.73/71.12  Deleted:      997
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    422846
% 70.73/71.12  Kept:         89633
% 70.73/71.12  Inuse:        1218
% 70.73/71.12  Deleted:      997
% 70.73/71.12  Deletedinuse: 28
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    430966
% 70.73/71.12  Kept:         91866
% 70.73/71.12  Inuse:        1246
% 70.73/71.12  Deleted:      1049
% 70.73/71.12  Deletedinuse: 79
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    440647
% 70.73/71.12  Kept:         93868
% 70.73/71.12  Inuse:        1276
% 70.73/71.12  Deleted:      1051
% 70.73/71.12  Deletedinuse: 81
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    449924
% 70.73/71.12  Kept:         95897
% 70.73/71.12  Inuse:        1307
% 70.73/71.12  Deleted:      1052
% 70.73/71.12  Deletedinuse: 82
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    460100
% 70.73/71.12  Kept:         97911
% 70.73/71.12  Inuse:        1334
% 70.73/71.12  Deleted:      1065
% 70.73/71.12  Deletedinuse: 82
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    476520
% 70.73/71.12  Kept:         101210
% 70.73/71.12  Inuse:        1350
% 70.73/71.12  Deleted:      1069
% 70.73/71.12  Deletedinuse: 83
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying clauses:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    486551
% 70.73/71.12  Kept:         103300
% 70.73/71.12  Inuse:        1370
% 70.73/71.12  Deleted:      5250
% 70.73/71.12  Deletedinuse: 83
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    497404
% 70.73/71.12  Kept:         105403
% 70.73/71.12  Inuse:        1400
% 70.73/71.12  Deleted:      5251
% 70.73/71.12  Deletedinuse: 84
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    513675
% 70.73/71.12  Kept:         108624
% 70.73/71.12  Inuse:        1410
% 70.73/71.12  Deleted:      5251
% 70.73/71.12  Deletedinuse: 84
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    522122
% 70.73/71.12  Kept:         110632
% 70.73/71.12  Inuse:        1429
% 70.73/71.12  Deleted:      5251
% 70.73/71.12  Deletedinuse: 84
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    531225
% 70.73/71.12  Kept:         113081
% 70.73/71.12  Inuse:        1440
% 70.73/71.12  Deleted:      5251
% 70.73/71.12  Deletedinuse: 84
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    548891
% 70.73/71.12  Kept:         120750
% 70.73/71.12  Inuse:        1450
% 70.73/71.12  Deleted:      5251
% 70.73/71.12  Deletedinuse: 84
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying clauses:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    556688
% 70.73/71.12  Kept:         122768
% 70.73/71.12  Inuse:        1470
% 70.73/71.12  Deleted:      5360
% 70.73/71.12  Deletedinuse: 84
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    585462
% 70.73/71.12  Kept:         126496
% 70.73/71.12  Inuse:        1510
% 70.73/71.12  Deleted:      5361
% 70.73/71.12  Deletedinuse: 85
% 70.73/71.12  
% 70.73/71.12  Resimplifying inuse:
% 70.73/71.12  Done
% 70.73/71.12  
% 70.73/71.12  
% 70.73/71.12  Intermediate Status:
% 70.73/71.12  Generated:    598326
% 204.68/205.10  Kept:         128739
% 204.68/205.10  Inuse:        1515
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    610359
% 204.68/205.10  Kept:         131015
% 204.68/205.10  Inuse:        1545
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    621617
% 204.68/205.10  Kept:         133535
% 204.68/205.10  Inuse:        1570
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    653780
% 204.68/205.10  Kept:         136643
% 204.68/205.10  Inuse:        1585
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    669304
% 204.68/205.10  Kept:         138970
% 204.68/205.10  Inuse:        1588
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    699683
% 204.68/205.10  Kept:         141910
% 204.68/205.10  Inuse:        1595
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    715032
% 204.68/205.10  Kept:         144748
% 204.68/205.10  Inuse:        1600
% 204.68/205.10  Deleted:      5363
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying clauses:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    724547
% 204.68/205.10  Kept:         148242
% 204.68/205.10  Inuse:        1606
% 204.68/205.10  Deleted:      5430
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    764467
% 204.68/205.10  Kept:         153567
% 204.68/205.10  Inuse:        1625
% 204.68/205.10  Deleted:      5430
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    784009
% 204.68/205.10  Kept:         158757
% 204.68/205.10  Inuse:        1635
% 204.68/205.10  Deleted:      5430
% 204.68/205.10  Deletedinuse: 87
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    813690
% 204.68/205.10  Kept:         160763
% 204.68/205.10  Inuse:        1686
% 204.68/205.10  Deleted:      5431
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    828628
% 204.68/205.10  Kept:         164319
% 204.68/205.10  Inuse:        1699
% 204.68/205.10  Deleted:      5431
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    837077
% 204.68/205.10  Kept:         167527
% 204.68/205.10  Inuse:        1701
% 204.68/205.10  Deleted:      5431
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying clauses:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    854756
% 204.68/205.10  Kept:         169601
% 204.68/205.10  Inuse:        1732
% 204.68/205.10  Deleted:      5486
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    877921
% 204.68/205.10  Kept:         171766
% 204.68/205.10  Inuse:        1744
% 204.68/205.10  Deleted:      5486
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    917688
% 204.68/205.10  Kept:         173776
% 204.68/205.10  Inuse:        1797
% 204.68/205.10  Deleted:      5486
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    945196
% 204.68/205.10  Kept:         175788
% 204.68/205.10  Inuse:        1845
% 204.68/205.10  Deleted:      5488
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    969623
% 204.68/205.10  Kept:         177805
% 204.68/205.10  Inuse:        1897
% 204.68/205.10  Deleted:      5488
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    986314
% 204.68/205.10  Kept:         179881
% 204.68/205.10  Inuse:        1930
% 204.68/205.10  Deleted:      5488
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    1009875
% 204.68/205.10  Kept:         181952
% 204.68/205.10  Inuse:        1980
% 204.68/205.10  Deleted:      5488
% 204.68/205.10  Deletedinuse: 88
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    1030065
% 204.68/205.10  Kept:         183995
% 204.68/205.10  Inuse:        2022
% 204.68/205.10  Deleted:      5494
% 204.68/205.10  Deletedinuse: 90
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    1059021
% 204.68/205.10  Kept:         186012
% 204.68/205.10  Inuse:        2062
% 204.68/205.10  Deleted:      5494
% 204.68/205.10  Deletedinuse: 90
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying clauses:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    1070465
% 204.68/205.10  Kept:         188154
% 204.68/205.10  Inuse:        2075
% 204.68/205.10  Deleted:      5938
% 204.68/205.10  Deletedinuse: 90
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate Status:
% 204.68/205.10  Generated:    1083531
% 204.68/205.10  Kept:         190369
% 204.68/205.10  Inuse:        2092
% 204.68/205.10  Deleted:      5938
% 204.68/205.10  Deletedinuse: 90
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  Resimplifying inuse:
% 204.68/205.10  Done
% 204.68/205.10  
% 204.68/205.10  
% 204.68/205.10  Intermediate SCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------