TSTP Solution File: SWV868-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV868-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:28:55 EDT 2022
% Result : Timeout 300.03s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV868-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 21:21:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.27 *** allocated 10000 integers for termspace/termends
% 0.88/1.27 *** allocated 10000 integers for clauses
% 0.88/1.27 *** allocated 10000 integers for justifications
% 0.88/1.27 *** allocated 15000 integers for termspace/termends
% 0.88/1.27 Bliksem 1.12
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Automatic Strategy Selection
% 0.88/1.27
% 0.88/1.27 Clauses:
% 0.88/1.27 [
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.27 , Y ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.27 , Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.27 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.88/1.27 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.88/1.27 'tc_bool' ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.88/1.27 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.27 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.27 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.88/1.27 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.88/1.27 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ),
% 0.88/1.27 T ), U ), hAPP( hAPP( X, T ), W ), Z, V0 ), ~(
% 0.88/1.27 'c_Finite__Set_Ofold__graph'( X, Y, U, W, Z, V0 ) ), hBOOL( 'c_in'( T, U
% 0.88/1.27 , Z ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y
% 0.88/1.27 , T, U, X ) ), 'c_Set_Oimage'( Y, T, U, X ) ), ~( hBOOL( 'c_in'( Z, T, U
% 0.88/1.27 ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.88/1.27 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, T, Y ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.88/1.27 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.88/1.27 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.88/1.27 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( T ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, X ),
% 0.88/1.27 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), hBOOL( 'c_in'( U, Z, T ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( U ), Z ), 'c_Set_Oimage'( X,
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( W, hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( T
% 0.88/1.27 , 'tc_bool' ) ), T, U ) ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.88/1.27 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.88/1.27 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.88/1.27 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.88/1.27 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.88/1.27 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ), Y ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.88/1.27 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.27 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.27 [ =( 'c_Map_Orestrict__map'( 'c_Fun_Ofun__upd'( X, Y, Z, T,
% 0.88/1.27 'tc_Option_Ooption'( U ) ), W, T, U ), 'c_Map_Orestrict__map'( X, W, T, U
% 0.88/1.27 ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.88/1.27 [ =( 'c_Map_Orestrict__map'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), Y, U ), 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, T, Y, U ), Z,
% 0.88/1.27 hAPP( X, Z ), Y, 'tc_Option_Ooption'( U ) ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.88/1.27 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.88/1.27 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.88/1.27 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, 't_a', T ), 'v_x' ), 'c_HOL_OIf'(
% 0.88/1.27 hAPP( hAPP( 'c_fequal'( 't_a' ), 'v_x' ), Y ), Z, hAPP( X, 'v_x' ), T ) )
% 0.88/1.27 ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.88/1.27 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.88/1.27 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27 ), =( Z, Y ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.88/1.27 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.88/1.27 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.88/1.27 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.88/1.27 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.88/1.27 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.88/1.27 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.88/1.27 ), =( Y, W ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.27 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.88/1.27 X ), Y ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.88/1.27 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.88/1.27 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.88/1.27 , U ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.88/1.27 , X, U, Y, W ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.27 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.88/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W, V0, U ),
% 0.88/1.27 'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X, T ), U,
% 0.88/1.27 V0 ) ) ],
% 0.88/1.27 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.88/1.27 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.88/1.27 ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.88/1.27 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.88/1.27 , ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.88/1.27 Y, X ) ],
% 0.88/1.27 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.88/1.27 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.88/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.88/1.27 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.88/1.27 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.88/1.27 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), X ) ],
% 0.88/1.27 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.88/1.27 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.88/1.27 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27 ) ), Z, X ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.88/1.27 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), hAPP( X, Z ) ), 'c_Set_Oimage'( X,
% 0.88/1.27 T, Y, U ) ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.88/1.27 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.88/1.27 Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( T ), U )
% 0.88/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'(
% 0.88/1.27 T, 'tc_bool' ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( Y, U ), X ) ), ~( hBOOL(
% 0.88/1.27 'c_in'( U, Z, T ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( T ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, X ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP(
% 0.88/1.27 Y, U ), X ) ), ~( hBOOL( 'c_in'( U, Z, T ) ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ), hBOOL( 'c_in'( Z, T, Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.88/1.27 , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.88/1.27 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.88/1.27 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.88/1.27 X ) ), Z ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.27 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.88/1.27 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 Y ), Z ), T ), Y ), U ) ), hBOOL( 'c_in'( Z, T, Y ) ), ~(
% 0.88/1.27 'c_Finite__Set_Ofold__graph'( X, Z, T, U, Y, Y ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U,
% 0.88/1.27 'c_Option_Ooption_ONone'( T ), Z, 'tc_Option_Ooption'( T ) ),
% 0.88/1.27 'c_Map_Orestrict__map'( X, Y, Z, T ) ), hBOOL( 'c_in'( U, Y, Z ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), T ) ) ) ],
% 0.88/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_COMBS'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), hAPP( Y, Z ) ) )
% 0.88/1.27 ],
% 0.88/1.27 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.27 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.88/1.27 U ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.88/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 0.88/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.88/1.27 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.88/1.27 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.88/1.27 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.88/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL(
% 0.88/1.27 hAPP( X, Z ) ) ],
% 0.88/1.27 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.88/1.27 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.88/1.27 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.88/1.27 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( hAPP( X, Y ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.88/1.27 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.88/1.27 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.88/1.27 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.27 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.88/1.27 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U,
% 0.88/1.27 'c_Option_Ooption_ONone'( T ), Z, 'tc_Option_Ooption'( T ) ),
% 0.88/1.27 'c_Map_Orestrict__map'( X, 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Z ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), ~( hBOOL( 'c_in'(
% 0.88/1.27 U, Y, Z ) ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U, W, Z,
% 0.88/1.27 'tc_Option_Ooption'( T ) ), 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X
% 0.88/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ), U )
% 0.88/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ), Z, T ), U, W, Z, 'tc_Option_Ooption'( T ) ) ), ~( hBOOL(
% 0.88/1.27 'c_in'( U, Y, Z ) ) ) ],
% 0.88/1.27 [ =( 'c_Map_Orestrict__map'( 'c_Fun_Ofun__upd'( X, Y, Z, T,
% 0.88/1.27 'tc_Option_Ooption'( U ) ), W, T, U ), 'c_Fun_Ofun__upd'(
% 0.88/1.27 'c_Map_Orestrict__map'( X, 'c_HOL_Ominus__class_Ominus'( W, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), Y, Z, T,
% 0.88/1.27 'tc_Option_Ooption'( U ) ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, T, Y
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X )
% 0.88/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.88/1.27 X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.88/1.27 , 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.88/1.27 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.88/1.27 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 0.88/1.27 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 0.88/1.27 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, 't_a', Z ), 'v_x' ),
% 0.88/1.27 'c_HOL_OIf'( 'c_in'( 'v_x', Y, 't_a' ), hAPP( X, 'v_x' ),
% 0.88/1.27 'c_Option_Ooption_ONone'( Z ), 'tc_Option_Ooption'( Z ) ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U, W, Z,
% 0.88/1.27 'tc_Option_Ooption'( T ) ), 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X
% 0.88/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ), U )
% 0.88/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ), Z, T ), U, W, Z, 'tc_Option_Ooption'( T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.88/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.88/1.27 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.88/1.27 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.27 hAPP( hAPP( 'c_Set_Oinsert'( W ), T ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( W, 'tc_bool' ) ) ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ),
% 0.88/1.27 ~( hBOOL( 'c_in'( T, Z, W ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), hBOOL( 'c_in'( Z, T, Y ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T )
% 0.88/1.27 , 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27 ) ), hBOOL( 'c_in'( Z, T, Y ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.88/1.27 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y, hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 Z, 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z, 'tc_nat' ),
% 0.88/1.27 'c_Finite__Set_Osetsum'( X, Y, Z, 'tc_nat' ) ), hBOOL( 'c_in'( T, Y, Z )
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.88/1.27 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 0.88/1.27 Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( W ), T )
% 0.88/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ) ), 'tc_fun'(
% 0.88/1.27 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.88/1.27 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.88/1.27 X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.88/1.27 X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.88/1.27 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.88/1.27 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.88/1.27 , T ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.88/1.27 , T ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.88/1.27 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.88/1.27 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.88/1.27 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X,
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.88/1.27 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.88/1.27 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X,
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.88/1.27 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.88/1.27 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.88/1.27 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.88/1.27 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.88/1.27 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.88/1.27 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.88/1.27 , V3, V4, U ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.88/1.27 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.88/1.27 , V3, V4, U ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Z ), Y ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.88/1.27 =( X, Z ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.88/1.27 =( Y, T ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.88/1.27 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.88/1.27 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.88/1.27 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.88/1.27 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.88/1.27 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.88/1.27 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.88/1.27 hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.27 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.88/1.27 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.88/1.27 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.88/1.27 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.88/1.27 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 0.88/1.27 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.88/1.27 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 0.88/1.27 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.88/1.27 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.88/1.27 , V2, Z, Y ) ) ],
% 0.88/1.27 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.88/1.27 , Z, V2, Y ) ) ],
% 0.88/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.27 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.27 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.88/1.27 ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ), Y ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27 ) ) ), Y ), Y ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.88/1.27 'c_in'( Y, Z, X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.88/1.27 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.88/1.27 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.88/1.27 ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.88/1.27 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.88/1.27 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.88/1.27 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.88/1.27 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.88/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.27 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.88/1.27 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.88/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.27 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.88/1.27 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), T ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Z ), T ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.88/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.27 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.88/1.27 , T ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.88/1.27 , Z ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.88/1.27 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.88/1.27 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.88/1.27 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.88/1.27 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.88/1.27 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.88/1.27 ), X ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.88/1.27 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.27 , =( Z, W ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.27 , =( Y, U ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.27 , =( X, T ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ),
% 0.88/1.27 'c_Option_Ooption_ONone'( T ) ), hBOOL( 'c_in'( U, Y, Z ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.88/1.27 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 0.88/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.27 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.88/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.88/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.88/1.27 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.88/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ), hAPP( X, U ) ),
% 0.88/1.27 ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 0.88/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.88/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.88/1.27 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.88/1.27 U, 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.88/1.27 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.88/1.27 Z, Y, X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.88/1.27 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.88/1.27 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.27 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.88/1.27 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.88/1.27 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.88/1.27 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.88/1.27 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.27 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.27 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.88/1.27 'tc_bool' ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.88/1.27 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.27 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.88/1.27 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.88/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.88/1.27 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.88/1.27 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.88/1.27 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.88/1.27 , V4 ), W ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'(
% 0.88/1.27 'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.88/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.27 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.88/1.27 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.88/1.27 U, 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.88/1.27 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 0.88/1.27 ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.27 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.88/1.27 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.27 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ),
% 0.88/1.27 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.88/1.27 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.88/1.27 Y, Z, X ) ) ) ],
% 0.88/1.27 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.88/1.27 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.88/1.27 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.88/1.27 Y, Z, X ) ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a', Y ), 'v_x' ),
% 0.88/1.27 'c_Option_Ooption_ONone'( Y ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.88/1.27 , 'v_x' ) ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.88/1.27 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.88/1.27 X, 'v_x' ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.88/1.27 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.88/1.27 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.88/1.27 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.88/1.27 hAPP( X, Y ), Z ), T ) ) ],
% 0.88/1.27 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.88/1.27 hAPP( X, Y ), Z ), T ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.88/1.27 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.88/1.27 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.88/1.27 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.88/1.27 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.88/1.27 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.88/1.27 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.88/1.27 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.88/1.27 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.88/1.27 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.88/1.27 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 0.88/1.27 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP(
% 0.88/1.27 hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.27 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.27 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.88/1.27 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 0.88/1.27 , hBOOL( hAPP( X, T ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 0.88/1.27 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 0.88/1.27 , U, X ) ), Y ), Z ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 0.88/1.27 Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 0.88/1.27 Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'(
% 0.88/1.27 X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 0.88/1.27 ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.88/1.27 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 0.88/1.27 , ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 0.88/1.27 , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 0.88/1.27 'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 0.88/1.27 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ),
% 0.88/1.27 ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 0.88/1.27 'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 0.88/1.27 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.27 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.88/1.27 [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.88/1.27 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.88/1.27 [ =( 'c_COMBS'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.88/1.27 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.88/1.27 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.88/1.27 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.88/1.27 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( X,
% 0.88/1.27 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.88/1.27 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.88/1.27 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.88/1.27 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.88/1.27 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.88/1.27 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ) ) ],
% 0.88/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.88/1.27 ) ],
% 0.88/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.88/1.27 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.88/1.27 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.88/1.27 , Y ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.88/1.27 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.88/1.27 ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.88/1.27 ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.88/1.27 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.88/1.27 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.88/1.27 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.88/1.27 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.88/1.27 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.27 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.88/1.27 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.27 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.88/1.27 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.88/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.27 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.88/1.27 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.88/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.88/1.27 'c_in'( Y, Z, X ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.88/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.88/1.27 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.88/1.27 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.88/1.27 , Y ) ],
% 0.88/1.27 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.88/1.27 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.27 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.88/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 0.88/1.27 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.88/1.27 [ =( 'c_Hoare__Mirabelle_OMGT'( X ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X,
% 0.88/1.27 'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 0.88/1.27 [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ),
% 0.88/1.27 'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.88/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.88/1.27 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.88/1.27 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.88/1.27 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.88/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.88/1.27 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 0.88/1.27 , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 0.88/1.27 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27 ) ), Y ) ) ) ],
% 0.88/1.27 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.88/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.88/1.27 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.88/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.88/1.27 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.88/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.88/1.27 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.27 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.88/1.27 hBOOL( hAPP( Z, T ) ) ) ],
% 0.88/1.27 [ 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.27 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.88/1.27 'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c',
% 0.88/1.28 'v_Q', 'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ),
% 0.88/1.28 'tc_Com_Ostate' ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'v_c' ), 'v_xa' ), 'v_xb' ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ) ],
% 0.88/1.28 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.88/1.28 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.88/1.28 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.28 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.88/1.28 Y ) ) ],
% 0.88/1.28 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.88/1.28 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.88/1.28 ] .
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 percentage equality = 0.262963, percentage horn = 0.838509
% 0.88/1.28 This is a problem with some equality
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Options Used:
% 0.88/1.28
% 0.88/1.28 useres = 1
% 0.88/1.28 useparamod = 1
% 0.88/1.28 useeqrefl = 1
% 0.88/1.28 useeqfact = 1
% 0.88/1.28 usefactor = 1
% 0.88/1.28 usesimpsplitting = 0
% 0.88/1.28 usesimpdemod = 5
% 0.88/1.28 usesimpres = 3
% 0.88/1.28
% 0.88/1.28 resimpinuse = 1000
% 0.88/1.28 resimpclauses = 20000
% 0.88/1.28 substype = eqrewr
% 0.88/1.28 backwardsubs = 1
% 0.88/1.28 selectoldest = 5
% 0.88/1.28
% 0.88/1.28 litorderings [0] = split
% 0.88/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.28
% 0.88/1.28 termordering = kbo
% 0.88/1.28
% 0.88/1.28 litapriori = 0
% 0.88/1.28 termapriori = 1
% 0.88/1.28 litaposteriori = 0
% 0.88/1.28 termaposteriori = 0
% 0.88/1.28 demodaposteriori = 0
% 0.88/1.28 ordereqreflfact = 0
% 0.88/1.28
% 0.88/1.28 litselect = negord
% 0.88/1.28
% 0.88/1.28 maxweight = 15
% 0.88/1.28 maxdepth = 30000
% 0.88/1.28 maxlength = 115
% 0.88/1.28 maxnrvars = 195
% 0.88/1.28 excuselevel = 1
% 0.88/1.28 increasemaxweight = 1
% 0.88/1.28
% 0.88/1.28 maxselected = 10000000
% 0.88/1.28 maxnrclauses = 10000000
% 0.88/1.28
% 0.88/1.28 showgenerated = 0
% 0.88/1.28 showkept = 0
% 0.88/1.28 showselected = 0
% 0.88/1.28 showdeleted = 0
% 0.88/1.28 showresimp = 1
% 0.88/1.28 showstatus = 2000
% 0.88/1.28
% 0.88/1.28 prologoutput = 1
% 0.88/1.28 nrgoals = 5000000
% 0.88/1.28 totalproof = 1
% 0.88/1.28
% 0.88/1.28 Symbols occurring in the translation:
% 0.88/1.28
% 0.88/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.28 . [1, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.88/1.28 ! [4, 1] (w:0, o:106, a:1, s:1, b:0),
% 0.88/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 'tc_bool' [42, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.88/1.28 'tc_fun' [43, 2] (w:1, o:163, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.88/1.28 'c_lessequals' [46, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.49/1.91 'c_Finite__Set_Ofinite' [47, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.49/1.91 'class_Orderings_Opreorder' [48, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.49/1.91 'class_Orderings_Oorder' [52, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.49/1.91 'c_SetInterval_Oord__class_OatLeastLessThan' [55, 3] (w:1, o:182, a:1
% 1.49/1.91 , s:1, b:0),
% 1.49/1.91 'c_Orderings_Obot__class_Obot' [56, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.49/1.91 'c_SetInterval_Oord__class_OgreaterThanAtMost' [59, 3] (w:1, o:183
% 1.49/1.91 , a:1, s:1, b:0),
% 1.49/1.91 'c_Fun_Ofun__upd' [62, 5] (w:1, o:214, a:1, s:1, b:0),
% 1.49/1.91 hAPP [63, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.49/1.91 'class_OrderedGroup_Opordered__ab__group__add' [64, 1] (w:1, o:115
% 1.49/1.91 , a:1, s:1, b:0),
% 1.49/1.91 'c_HOL_Ominus__class_Ominus' [65, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.49/1.91 'c_Set_Oimage' [68, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.49/1.91 'class_Orderings_Olinorder' [69, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.49/1.91 'c_Lattices_Oupper__semilattice__class_Osup' [70, 1] (w:1, o:117, a:1
% 1.49/1.91 , s:1, b:0),
% 1.49/1.91 'class_OrderedGroup_Oab__group__add' [71, 1] (w:1, o:118, a:1, s:1
% 1.49/1.91 , b:0),
% 1.49/1.91 'c_Finite__Set_Osetsum' [72, 4] (w:1, o:196, a:1, s:1, b:0),
% 1.49/1.91 'c_Set_Oinsert' [73, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.49/1.91 'c_Finite__Set_Ofold__graph' [74, 6] (w:1, o:218, a:1, s:1, b:0),
% 1.49/1.91 'c_in' [75, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.49/1.91 hBOOL [76, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.49/1.91 'c_SetInterval_Oord__class_OatLeastAtMost' [79, 3] (w:1, o:186, a:1
% 1.49/1.91 , s:1, b:0),
% 1.49/1.91 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [82, 4] (w:1
% 1.49/1.91 , o:197, a:1, s:1, b:0),
% 1.49/1.91 'c_COMBK' [85, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.49/1.91 'tc_Option_Ooption' [86, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.49/1.91 'c_Map_Orestrict__map' [88, 4] (w:1, o:198, a:1, s:1, b:0),
% 1.49/1.91 'c_Fun_Ocomp' [91, 5] (w:1, o:215, a:1, s:1, b:0),
% 1.49/1.91 'c_COMBB' [93, 5] (w:1, o:216, a:1, s:1, b:0),
% 1.49/1.91 't_a' [94, 0] (w:1, o:68, a:1, s:1, b:0),
% 1.49/1.91 'v_x' [95, 0] (w:1, o:69, a:1, s:1, b:0),
% 1.49/1.91 'c_fequal' [96, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.49/1.91 'c_HOL_OIf' [97, 4] (w:1, o:199, a:1, s:1, b:0),
% 1.49/1.91 'class_HOL_Oord' [101, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.49/1.91 'class_Ring__and__Field_Oordered__idom' [102, 1] (w:1, o:124, a:1, s:
% 1.49/1.91 1, b:0),
% 1.49/1.91 'c_COMBC' [104, 4] (w:1, o:200, a:1, s:1, b:0),
% 1.49/1.91 'c_The' [105, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.49/1.91 'c_COMBI' [106, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.49/1.91 'c_Complete__Lattice_Ocomplete__lattice' [116, 9] (w:1, o:223, a:1
% 1.49/1.91 , s:1, b:0),
% 1.49/1.91 'c_Fun_Oid' [117, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.49/1.91 'class_Finite__Set_Ofinite_Ofinite' [118, 1] (w:1, o:127, a:1, s:1
% 1.49/1.91 , b:0),
% 1.49/1.91 'class_Lattices_Oupper__semilattice' [119, 1] (w:1, o:128, a:1, s:1
% 1.49/1.91 , b:0),
% 1.49/1.91 'c_Nitpick_Ofold__graph_H' [120, 6] (w:1, o:219, a:1, s:1, b:0),
% 1.49/1.91 'class_Ring__and__Field_Oring' [121, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.49/1.91
% 1.49/1.91 'c_Collect' [122, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.49/1.91 'c_Finite__Set_Olinorder__class_OMax' [123, 2] (w:1, o:169, a:1, s:1
% 1.49/1.91 , b:0),
% 1.49/1.91 'c_Finite__Set_Olinorder__class_OMin' [124, 2] (w:1, o:170, a:1, s:1
% 1.49/1.91 , b:0),
% 1.49/1.91 'c_Finite__Set_Ofold1Set' [125, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.49/1.91 'c_Option_Ooption_ONone' [126, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.49/1.91 'c_Com_Ocom_OSemi' [129, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.49/1.91 'c_Natural_Oevaln' [132, 4] (w:1, o:201, a:1, s:1, b:0),
% 1.49/1.91 'c_Com_Ocom_OWhile' [135, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.49/1.91 'c_COMBS' [139, 6] (w:1, o:220, a:1, s:1, b:0),
% 1.49/1.91 'c_Com_Ocom_OCond' [144, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.49/1.91 'class_Lattices_Olattice' [145, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.49/1.91 'c_Finite__Set_Ofold1' [146, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.49/1.91 'class_Complete__Lattice_Ocomplete__lattice' [147, 1] (w:1, o:132, a:
% 1.49/1.91 1, s:1, b:0),
% 1.49/1.91 'c_Com_Ocom_OSKIP' [151, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.49/1.91 'c_Finite__Set_Ofun__left__comm__idem' [152, 3] (w:1, o:191, a:1, s:1
% 1.49/1.91 , b:0),
% 1.49/1.91 'tc_Hoare__Mirabelle_Otriple' [153, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.49/1.91 'c_Hoare__Mirabelle_Otriple_Otriple' [154, 4] (w:1, o:202, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'c_Hoare__Mirabelle_Ohoare__derivs' [155, 3] (w:1, o:192, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'tc_Com_Ostate' [156, 0] (w:1, o:86, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xescape__2' [157, 4] (w:1, o:204, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xescape__1' [158, 4] (w:1, o:203, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'tc_nat' [160, 0] (w:1, o:88, a:1, s:1, b:0),
% 12.70/13.09 'class_HOL_Ominus' [164, 1] (w:1, o:134, a:1, s:1, b:0),
% 12.70/13.09 'c_Not' [169, 0] (w:1, o:90, a:1, s:1, b:0),
% 12.70/13.09 'c_Hoare__Mirabelle_Opeek__and' [170, 3] (w:1, o:193, a:1, s:1, b:0)
% 12.70/13.09 ,
% 12.70/13.09 'class_Lattices_Obounded__lattice' [171, 1] (w:1, o:135, a:1, s:1, b:
% 12.70/13.09 0),
% 12.70/13.09 'class_Orderings_Obot' [172, 1] (w:1, o:136, a:1, s:1, b:0),
% 12.70/13.09 'c_Complete__Lattice_OSup__class_OSup' [173, 2] (w:1, o:173, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'c_Complete__Lattice_OInf__class_OInf' [175, 2] (w:1, o:174, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'c_Fun_Ofcomp' [178, 5] (w:1, o:217, a:1, s:1, b:0),
% 12.70/13.09 't_b' [186, 0] (w:1, o:95, a:1, s:1, b:0),
% 12.70/13.09 'c_Hoare__Mirabelle_Otriple_Otriple__case' [187, 4] (w:1, o:205, a:1
% 12.70/13.09 , s:1, b:0),
% 12.70/13.09 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [190, 4] (w:1, o:206, a:1
% 12.70/13.09 , s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [192, 6] (w:1
% 12.70/13.09 , o:221, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [193, 4] (w:1
% 12.70/13.09 , o:208, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq12__3' [196, 4] (w:1, o:211, a:1, s:
% 12.70/13.09 1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq12__2' [197, 4] (w:1, o:210, a:1, s:
% 12.70/13.09 1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [198, 6] (w:
% 12.70/13.09 1, o:222, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [199, 4] (w:
% 12.70/13.09 1, o:213, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [200, 4] (w:
% 12.70/13.09 1, o:212, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [201, 4] (w:1
% 12.70/13.09 , o:207, a:1, s:1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq2__1' [202, 2] (w:1, o:177, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq2__2' [203, 2] (w:1, o:178, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq12__1' [204, 4] (w:1, o:209, a:1, s:
% 12.70/13.09 1, b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq1__1' [205, 2] (w:1, o:175, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'v_sko__Hoare__Mirabelle__Xconseq1__2' [206, 2] (w:1, o:176, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'c_Natural_Oevalc' [207, 1] (w:1, o:113, a:1, s:1, b:0),
% 12.70/13.09 'v_P' [208, 0] (w:1, o:97, a:1, s:1, b:0),
% 12.70/13.09 'v_Q' [209, 0] (w:1, o:98, a:1, s:1, b:0),
% 12.70/13.09 't_c' [210, 0] (w:1, o:99, a:1, s:1, b:0),
% 12.70/13.09 'v_R' [211, 0] (w:1, o:100, a:1, s:1, b:0),
% 12.70/13.09 'c_Hoare__Mirabelle_Ohoare__valids' [212, 3] (w:1, o:194, a:1, s:1
% 12.70/13.09 , b:0),
% 12.70/13.09 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [213, 2] (w:1, o:179, a:1
% 12.70/13.09 , s:1, b:0),
% 12.70/13.09 'c_Set_Ocontents' [214, 2] (w:1, o:166, a:1, s:1, b:0),
% 12.70/13.09 'c_Hoare__Mirabelle_OMGT' [215, 1] (w:1, o:137, a:1, s:1, b:0),
% 12.70/13.09 'v_c' [216, 0] (w:1, o:101, a:1, s:1, b:0),
% 12.70/13.09 'v_xa' [219, 0] (w:1, o:102, a:1, s:1, b:0),
% 12.70/13.09 'v_xb' [220, 0] (w:1, o:103, a:1, s:1, b:0).
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Starting Search:
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Intermediate Status:
% 12.70/13.09 Generated: 4394
% 12.70/13.09 Kept: 2013
% 12.70/13.09 Inuse: 140
% 12.70/13.09 Deleted: 3
% 12.70/13.09 Deletedinuse: 1
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Intermediate Status:
% 12.70/13.09 Generated: 9387
% 12.70/13.09 Kept: 4056
% 12.70/13.09 Inuse: 212
% 12.70/13.09 Deleted: 6
% 12.70/13.09 Deletedinuse: 2
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Intermediate Status:
% 12.70/13.09 Generated: 14379
% 12.70/13.09 Kept: 6076
% 12.70/13.09 Inuse: 282
% 12.70/13.09 Deleted: 7
% 12.70/13.09 Deletedinuse: 2
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Intermediate Status:
% 12.70/13.09 Generated: 23035
% 12.70/13.09 Kept: 8131
% 12.70/13.09 Inuse: 333
% 12.70/13.09 Deleted: 8
% 12.70/13.09 Deletedinuse: 3
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Intermediate Status:
% 12.70/13.09 Generated: 30548
% 12.70/13.09 Kept: 10145
% 12.70/13.09 Inuse: 380
% 12.70/13.09 Deleted: 9
% 12.70/13.09 Deletedinuse: 3
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09 Resimplifying inuse:
% 12.70/13.09 Done
% 12.70/13.09
% 12.70/13.09
% 12.70/13.09 Intermediate Status:
% 12.70/13.09 Generated: 37439
% 12.70/13.09 Kept: 12175
% 12.70/13.09 Inuse: 423
% 37.61/37.97 Deleted: 9
% 37.61/37.97 Deletedinuse: 3
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 44416
% 37.61/37.97 Kept: 14196
% 37.61/37.97 Inuse: 455
% 37.61/37.97 Deleted: 9
% 37.61/37.97 Deletedinuse: 3
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 54244
% 37.61/37.97 Kept: 16667
% 37.61/37.97 Inuse: 480
% 37.61/37.97 Deleted: 9
% 37.61/37.97 Deletedinuse: 3
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 63553
% 37.61/37.97 Kept: 18671
% 37.61/37.97 Inuse: 565
% 37.61/37.97 Deleted: 14
% 37.61/37.97 Deletedinuse: 3
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying clauses:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 72008
% 37.61/37.97 Kept: 20729
% 37.61/37.97 Inuse: 598
% 37.61/37.97 Deleted: 286
% 37.61/37.97 Deletedinuse: 6
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 82632
% 37.61/37.97 Kept: 23600
% 37.61/37.97 Inuse: 616
% 37.61/37.97 Deleted: 286
% 37.61/37.97 Deletedinuse: 6
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 94533
% 37.61/37.97 Kept: 26483
% 37.61/37.97 Inuse: 667
% 37.61/37.97 Deleted: 286
% 37.61/37.97 Deletedinuse: 6
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 101853
% 37.61/37.97 Kept: 28617
% 37.61/37.97 Inuse: 693
% 37.61/37.97 Deleted: 286
% 37.61/37.97 Deletedinuse: 6
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 113702
% 37.61/37.97 Kept: 31496
% 37.61/37.97 Inuse: 719
% 37.61/37.97 Deleted: 287
% 37.61/37.97 Deletedinuse: 7
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 123555
% 37.61/37.97 Kept: 33629
% 37.61/37.97 Inuse: 745
% 37.61/37.97 Deleted: 287
% 37.61/37.97 Deletedinuse: 7
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 131576
% 37.61/37.97 Kept: 35681
% 37.61/37.97 Inuse: 785
% 37.61/37.97 Deleted: 287
% 37.61/37.97 Deletedinuse: 7
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 138857
% 37.61/37.97 Kept: 37696
% 37.61/37.97 Inuse: 798
% 37.61/37.97 Deleted: 287
% 37.61/37.97 Deletedinuse: 7
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 144360
% 37.61/37.97 Kept: 39798
% 37.61/37.97 Inuse: 812
% 37.61/37.97 Deleted: 288
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying clauses:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 149887
% 37.61/37.97 Kept: 42093
% 37.61/37.97 Inuse: 824
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 167033
% 37.61/37.97 Kept: 45825
% 37.61/37.97 Inuse: 855
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 176489
% 37.61/37.97 Kept: 47867
% 37.61/37.97 Inuse: 860
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 184189
% 37.61/37.97 Kept: 49885
% 37.61/37.97 Inuse: 897
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 193526
% 37.61/37.97 Kept: 52918
% 37.61/37.97 Inuse: 906
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 208231
% 37.61/37.97 Kept: 55710
% 37.61/37.97 Inuse: 920
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 219105
% 37.61/37.97 Kept: 57843
% 37.61/37.97 Inuse: 950
% 37.61/37.97 Deleted: 539
% 37.61/37.97 Deletedinuse: 8
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 238222
% 37.61/37.97 Kept: 60094
% 37.61/37.97 Inuse: 967
% 37.61/37.97 Deleted: 545
% 37.61/37.97 Deletedinuse: 11
% 37.61/37.97
% 37.61/37.97 Resimplifying clauses:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 254192
% 37.61/37.97 Kept: 63627
% 37.61/37.97 Inuse: 992
% 37.61/37.97 Deleted: 702
% 37.61/37.97 Deletedinuse: 11
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 272834
% 37.61/37.97 Kept: 67840
% 37.61/37.97 Inuse: 1022
% 37.61/37.97 Deleted: 703
% 37.61/37.97 Deletedinuse: 12
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 284222
% 37.61/37.97 Kept: 70212
% 37.61/37.97 Inuse: 1027
% 37.61/37.97 Deleted: 703
% 37.61/37.97 Deletedinuse: 12
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 37.61/37.97 Done
% 37.61/37.97
% 37.61/37.97
% 37.61/37.97 Intermediate Status:
% 37.61/37.97 Generated: 291433
% 37.61/37.97 Kept: 72236
% 37.61/37.97 Inuse: 1054
% 37.61/37.97 Deleted: 703
% 37.61/37.97 Deletedinuse: 12
% 37.61/37.97
% 37.61/37.97 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 313891
% 105.99/106.38 Kept: 75228
% 105.99/106.38 Inuse: 1067
% 105.99/106.38 Deleted: 703
% 105.99/106.38 Deletedinuse: 12
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 328242
% 105.99/106.38 Kept: 77266
% 105.99/106.38 Inuse: 1082
% 105.99/106.38 Deleted: 703
% 105.99/106.38 Deletedinuse: 12
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 336935
% 105.99/106.38 Kept: 79314
% 105.99/106.38 Inuse: 1107
% 105.99/106.38 Deleted: 705
% 105.99/106.38 Deletedinuse: 14
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying clauses:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 345000
% 105.99/106.38 Kept: 81491
% 105.99/106.38 Inuse: 1129
% 105.99/106.38 Deleted: 1067
% 105.99/106.38 Deletedinuse: 15
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 368870
% 105.99/106.38 Kept: 83663
% 105.99/106.38 Inuse: 1140
% 105.99/106.38 Deleted: 1071
% 105.99/106.38 Deletedinuse: 15
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 386363
% 105.99/106.38 Kept: 87073
% 105.99/106.38 Inuse: 1156
% 105.99/106.38 Deleted: 1071
% 105.99/106.38 Deletedinuse: 15
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 393193
% 105.99/106.38 Kept: 89195
% 105.99/106.38 Inuse: 1180
% 105.99/106.38 Deleted: 1165
% 105.99/106.38 Deletedinuse: 109
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 403069
% 105.99/106.38 Kept: 91242
% 105.99/106.38 Inuse: 1215
% 105.99/106.38 Deleted: 1167
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 411170
% 105.99/106.38 Kept: 93445
% 105.99/106.38 Inuse: 1240
% 105.99/106.38 Deleted: 1167
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 418860
% 105.99/106.38 Kept: 95479
% 105.99/106.38 Inuse: 1258
% 105.99/106.38 Deleted: 1184
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 437269
% 105.99/106.38 Kept: 99449
% 105.99/106.38 Inuse: 1280
% 105.99/106.38 Deleted: 1187
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying clauses:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 447554
% 105.99/106.38 Kept: 101566
% 105.99/106.38 Inuse: 1304
% 105.99/106.38 Deleted: 6061
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 455677
% 105.99/106.38 Kept: 103616
% 105.99/106.38 Inuse: 1321
% 105.99/106.38 Deleted: 6061
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 473831
% 105.99/106.38 Kept: 105622
% 105.99/106.38 Inuse: 1341
% 105.99/106.38 Deleted: 6061
% 105.99/106.38 Deletedinuse: 111
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 488720
% 105.99/106.38 Kept: 108883
% 105.99/106.38 Inuse: 1355
% 105.99/106.38 Deleted: 6062
% 105.99/106.38 Deletedinuse: 112
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 497071
% 105.99/106.38 Kept: 110984
% 105.99/106.38 Inuse: 1373
% 105.99/106.38 Deleted: 6064
% 105.99/106.38 Deletedinuse: 113
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 504675
% 105.99/106.38 Kept: 113031
% 105.99/106.38 Inuse: 1386
% 105.99/106.38 Deleted: 6065
% 105.99/106.38 Deletedinuse: 114
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 519655
% 105.99/106.38 Kept: 119713
% 105.99/106.38 Inuse: 1393
% 105.99/106.38 Deleted: 6066
% 105.99/106.38 Deletedinuse: 114
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying clauses:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 549222
% 105.99/106.38 Kept: 123145
% 105.99/106.38 Inuse: 1438
% 105.99/106.38 Deleted: 6251
% 105.99/106.38 Deletedinuse: 114
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 561991
% 105.99/106.38 Kept: 125169
% 105.99/106.38 Inuse: 1444
% 105.99/106.38 Deleted: 6253
% 105.99/106.38 Deletedinuse: 116
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 573245
% 105.99/106.38 Kept: 127189
% 105.99/106.38 Inuse: 1477
% 105.99/106.38 Deleted: 6253
% 105.99/106.38 Deletedinuse: 116
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 589769
% 105.99/106.38 Kept: 129426
% 105.99/106.38 Inuse: 1485
% 105.99/106.38 Deleted: 6255
% 105.99/106.38 Deletedinuse: 117
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 604771
% 105.99/106.38 Kept: 131568
% 105.99/106.38 Inuse: 1489
% 105.99/106.38 Deleted: 6255
% 105.99/106.38 Deletedinuse: 117
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 Intermediate Status:
% 105.99/106.38 Generated: 632606
% 105.99/106.38 Kept: 134363
% 105.99/106.38 Inuse: 1497
% 105.99/106.38 Deleted: 6255
% 105.99/106.38 Deletedinuse: 117
% 105.99/106.38
% 105.99/106.38 Resimplifying inuse:
% 105.99/106.38 Done
% 105.99/106.38
% 105.99/106.38
% 105.99/106.38 IntermeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------