TSTP Solution File: SWV860-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 16:28:53 EDT 2022
% Result : Unsatisfiable 0.96s 1.44s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 00:48:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.32 *** allocated 10000 integers for termspace/termends
% 0.92/1.32 *** allocated 10000 integers for clauses
% 0.92/1.32 *** allocated 10000 integers for justifications
% 0.92/1.32 Bliksem 1.12
% 0.92/1.32
% 0.92/1.32
% 0.92/1.32 Automatic Strategy Selection
% 0.92/1.32
% 0.92/1.32 Clauses:
% 0.92/1.32 [
% 0.92/1.32 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.92/1.32 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.92/1.32 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.92/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.92/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, Z ), hBOOL( hAPP(
% 0.92/1.32 X, Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OLocal'( Y, Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( hAPP( T, V2 ), V3 )
% 0.92/1.32 , 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V2, V4 ) ),
% 0.92/1.32 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.92/1.32 , =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.92/1.32 , =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.92/1.32 , =( Z, W ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( hAPP( Z, V2 )
% 0.92/1.32 , V3 ), V4 ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V4, V5 )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.92/1.32 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.32 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.92/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.92/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.32 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.32 , X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.92/1.32 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.92/1.32 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ),
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.92/1.32 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.92/1.32 , V4 ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.92/1.32 U ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.92/1.32 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.92/1.32 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.92/1.32 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.32 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OAss'( V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), U, T ) ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( Y, Z, U ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( Y, T, U ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevalc'( Z, Y, T ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Z, U ), Y, T ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), Y, Z ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.92/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.92/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.92/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OCall'( X, Y, Z ) ), ~( 'c_Com_OWT'(
% 0.92/1.32 'c_Com_Ocom_OBODY'( Y ) ) ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), ~( 'c_Com_OWT'(
% 0.92/1.32 'c_Com_Ocom_OCall'( Y, X, Z ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.92/1.32 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.92/1.32 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.92/1.32 , T ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.92/1.32 , Z ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.92/1.32 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.32 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.92/1.32 X, T ), Y ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OAss'( Y, Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.92/1.32 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.92/1.32 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.92/1.32 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.92/1.32 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.92/1.32 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.92/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.92/1.32 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.92/1.32 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.32 , =( Z, W ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.32 , =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.32 , =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ),
% 0.92/1.32 ~( 'c_Com_OWT'( Y ) ) ],
% 0.92/1.32 [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.92/1.32 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.32 X, 'tc_bool' ) ), Y ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.32 ) ), Y ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.32 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.92/1.32 , Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.92/1.32 Z, T, Y ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.92/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.92/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.92/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.92/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( X, Y, Z ), hBOOL( hAPP( T, Y ) ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T, U, X ), Y, Z ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( Z, T, U ) ), hBOOL( hAPP( X, T ) ) ],
% 0.92/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.92/1.32 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.92/1.32 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.92/1.32 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.92/1.32 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), U ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.92/1.32 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), U ), Z ) ) ) ],
% 0.92/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.92/1.32 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.92/1.32 , U, V3, V4, T ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.92/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.92/1.32 Y, Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.32 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCall'( Y, Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.92/1.32 , X, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.92/1.32 'tc_nat' ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.92/1.32 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.92/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.32 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.32 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.92/1.32 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.92/1.32 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.92/1.32 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 T, Z, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.92/1.32 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 T, Z, X ), X ) ) ],
% 0.92/1.32 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( T, V2 ), V3 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.92/1.32 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.92/1.32 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.92/1.32 ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.92/1.32 =( X, Z ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.92/1.32 =( Y, T ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.92/1.32 , V4 ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.92/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.92/1.32 ) ), Z, X ) ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( Y, Z, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OBODY'( V2 ), V3 ), hAPP( V0, V2 ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.32 'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.32 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.92/1.32 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.92/1.32 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.92/1.32 Z, T, U ), U, X ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 'c_Com_Ocom_OAss'(
% 0.92/1.32 V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( W, V2 ), V3 ),
% 0.92/1.32 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.92/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( Z ), X ), Y ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OCond'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( hAPP( hAPP( U,
% 0.92/1.32 V2 ), V3 ), V4 ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3,
% 0.92/1.32 V5 ) ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V4, V5 ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.92/1.32 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.92/1.32 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.92/1.32 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.92/1.32 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.92/1.32 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.92/1.32 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( X,
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.92/1.32 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.92/1.32 , X, Z ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( U,
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.92/1.32 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.92/1.32 , U, Z ) ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.92/1.32 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 0.92/1.32 Z, T, X ) ), Z ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.92/1.32 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.92/1.32 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.92/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.92/1.32 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.92/1.32 V2, V3, V4, T ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.92/1.32 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.92/1.32 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( U ), V0 ), Y ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( Z, V2 ), V3 )
% 0.92/1.32 , V4 ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( W, V2 ), V3 ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.92/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.92/1.32 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.92/1.32 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.92/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.92/1.32 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( Y,
% 0.92/1.32 T ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( X,
% 0.92/1.32 Z ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.92/1.32 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.92/1.32 ), =( Z, W ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.92/1.32 ), =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.92/1.32 ), =( X, T ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~(
% 0.92/1.32 'c_Com_OWT'( X ) ) ],
% 0.92/1.32 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.92/1.32 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.92/1.32 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.92/1.32 , Z, V2, Y ) ) ],
% 0.92/1.32 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.92/1.32 , V2, Z, Y ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevalc'(
% 0.92/1.32 'c_Com_Ocom_OWhile'( X, T ), Y, Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.92/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.92/1.32 Y, X ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 T, X ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.92/1.32 Y, X ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 T, X ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.92/1.32 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.92/1.32 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.32 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.92/1.32 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OBODY'( V2 ), V3 ), hAPP( V0, V2 ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.92/1.32 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.92/1.32 , 'tc_bool' ) ), X ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.92/1.32 ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OCond'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( U, V2 ), V3 ),
% 0.92/1.32 V4 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.92/1.32 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.92/1.32 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.92/1.32 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.92/1.32 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.92/1.32 , V4 ), W ) ) ],
% 0.92/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.92/1.32 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.32 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.92/1.32 X, T, U ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.92/1.32 hAPP( X, U ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.92/1.32 hAPP( X, T ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.32 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.92/1.32 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( X, Y, Z ), 'c_Natural_Oevalc'( T, Y, Z ), ~(
% 0.92/1.32 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ), Y, Z ) ) ],
% 0.92/1.32 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.92/1.32 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.92/1.32 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, Z, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, X, Z ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.92/1.32 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.32 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.92/1.32 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.92/1.32 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.92/1.32 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.92/1.32 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.92/1.32 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.92/1.32 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.92/1.32 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 0.92/1.32 hAPP( Z, Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.92/1.32 'c_Collect'( X, Z ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 0.92/1.32 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.92/1.32 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.92/1.32 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.92/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.92/1.32 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.92/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.92/1.32 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.92/1.32 , X, Z ) ), T ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.92/1.32 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.92/1.32 , U, Z ) ), T ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.92/1.32 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.92/1.32 ), X ), Y ) ), =( Y, T ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 0.92/1.32 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.92/1.32 hBOOL( hAPP( Z, T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.92/1.32 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.92/1.32 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.92/1.32 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.92/1.32 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 0.92/1.32 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.92/1.32 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X,
% 0.92/1.32 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.92/1.32 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.92/1.32 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.92/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.92/1.32 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.92/1.32 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.92/1.32 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.92/1.32 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.92/1.32 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.92/1.32 ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.92/1.32 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.92/1.32 ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 0.92/1.32 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( X ), T ), Y ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.92/1.32 , X ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.92/1.32 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.92/1.32 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.92/1.32 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.92/1.32 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.92/1.32 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.92/1.32 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.92/1.32 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.92/1.32 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.92/1.32 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.92/1.32 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.92/1.32 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.92/1.32 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.92/1.32 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.92/1.32 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.92/1.32 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.92/1.32 , Y ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.92/1.32 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.92/1.32 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 'c_COMBC'(
% 0.92/1.32 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ),
% 0.92/1.32 hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.92/1.32 'tc_bool' ), Y ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP(
% 0.92/1.32 'c_in'( 't_a' ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.92/1.32 , Y, 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 'c_COMBC'(
% 0.92/1.32 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ),
% 0.92/1.32 hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.92/1.32 'tc_bool' ), Y ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP(
% 0.92/1.32 'c_in'( 't_a' ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.92/1.32 , Y, 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.92/1.32 , 'v_x' ) ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.92/1.32 X, 'v_x' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCall'( X, Y, Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OSKIP', V2 ), X ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.92/1.32 'c_Com_Ocom_OSKIP', V2 ), X ) ],
% 0.92/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ),
% 0.92/1.32 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'(
% 0.92/1.32 'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( X, Y, Z, T ), ~( 'c_lessequals'( U, Z, 'tc_nat' )
% 0.92/1.32 ), ~( 'c_Natural_Oevaln'( X, Y, U, T ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.92/1.32 , Y, Z, T ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( X, Y,
% 0.92/1.32 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( Z, X, T, Y, U, W ), W ),
% 0.92/1.32 ~( 'c_Natural_Oevaln'( X, Y, V0, W ) ), ~( 'c_Natural_Oevaln'( Z, T, V1,
% 0.92/1.32 U ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( X, Y,
% 0.92/1.32 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( X, Z, Y, T, U, W ), U ),
% 0.92/1.32 ~( 'c_Natural_Oevaln'( Z, T, V0, W ) ), ~( 'c_Natural_Oevaln'( X, Y, V1,
% 0.92/1.32 U ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL(
% 0.92/1.32 hAPP( X, Z ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.92/1.32 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.92/1.32 ],
% 0.92/1.32 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.32 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T ) ), ~(
% 0.92/1.32 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 0.92/1.32 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.92/1.32 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 0.92/1.32 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.92/1.32 ), X ) ) ) ],
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 0.92/1.32 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 0.92/1.32 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.92/1.32 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.92/1.32 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple__valid'( W,
% 0.92/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, X, 't_a' ), 't_a' ) ) ],
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.32 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 0.92/1.32 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', 'v_xa', 'v_n', 'v_xb' ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xb' ) ) ) ],
% 0.92/1.32 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_n', X, 't_a' ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X ), 'v_Ga' ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.92/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.92/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.92/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.92/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.92/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.92/1.32 Y ) ) ],
% 0.92/1.32 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.96/1.44 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.44 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.96/1.44 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.96/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.96/1.44 ] .
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44 percentage equality = 0.371591, percentage horn = 0.926625
% 0.96/1.44 This is a problem with some equality
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44 Options Used:
% 0.96/1.44
% 0.96/1.44 useres = 1
% 0.96/1.44 useparamod = 1
% 0.96/1.44 useeqrefl = 1
% 0.96/1.44 useeqfact = 1
% 0.96/1.44 usefactor = 1
% 0.96/1.44 usesimpsplitting = 0
% 0.96/1.44 usesimpdemod = 5
% 0.96/1.44 usesimpres = 3
% 0.96/1.44
% 0.96/1.44 resimpinuse = 1000
% 0.96/1.44 resimpclauses = 20000
% 0.96/1.44 substype = eqrewr
% 0.96/1.44 backwardsubs = 1
% 0.96/1.44 selectoldest = 5
% 0.96/1.44
% 0.96/1.44 litorderings [0] = split
% 0.96/1.44 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.44
% 0.96/1.44 termordering = kbo
% 0.96/1.44
% 0.96/1.44 litapriori = 0
% 0.96/1.44 termapriori = 1
% 0.96/1.44 litaposteriori = 0
% 0.96/1.44 termaposteriori = 0
% 0.96/1.44 demodaposteriori = 0
% 0.96/1.44 ordereqreflfact = 0
% 0.96/1.44
% 0.96/1.44 litselect = negord
% 0.96/1.44
% 0.96/1.44 maxweight = 15
% 0.96/1.44 maxdepth = 30000
% 0.96/1.44 maxlength = 115
% 0.96/1.44 maxnrvars = 195
% 0.96/1.44 excuselevel = 1
% 0.96/1.44 increasemaxweight = 1
% 0.96/1.44
% 0.96/1.44 maxselected = 10000000
% 0.96/1.44 maxnrclauses = 10000000
% 0.96/1.44
% 0.96/1.44 showgenerated = 0
% 0.96/1.44 showkept = 0
% 0.96/1.44 showselected = 0
% 0.96/1.44 showdeleted = 0
% 0.96/1.44 showresimp = 1
% 0.96/1.44 showstatus = 2000
% 0.96/1.44
% 0.96/1.44 prologoutput = 1
% 0.96/1.44 nrgoals = 5000000
% 0.96/1.44 totalproof = 1
% 0.96/1.44
% 0.96/1.44 Symbols occurring in the translation:
% 0.96/1.44
% 0.96/1.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.44 . [1, 2] (w:1, o:149, a:1, s:1, b:0),
% 0.96/1.44 ! [4, 1] (w:0, o:121, a:1, s:1, b:0),
% 0.96/1.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.44 'tc_bool' [43, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.96/1.44 'tc_fun' [44, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus' [45, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.44 'c_Set_Ovimage' [47, 4] (w:1, o:201, a:1, s:1, b:0),
% 0.96/1.44 'c_Set_Oinsert' [49, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup' [50, 3] (w:1, o:185, a:1
% 0.96/1.44 , s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OWhile' [54, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.96/1.44 'c_Natural_Oevalc' [56, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.96/1.44 hAPP [57, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.96/1.44 hBOOL [58, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OLocal' [64, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.96/1.44 'c_Orderings_Obot__class_Obot' [65, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.96/1.44 'c_Set_Oimage' [66, 4] (w:1, o:202, a:1, s:1, b:0),
% 0.96/1.44 'c_Fun_Oinj__on' [67, 4] (w:1, o:203, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OBODY' [69, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.96/1.44 'class_Orderings_Obot' [70, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.96/1.44 't_a' [71, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.96/1.44 'v_x' [72, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OSemi' [83, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_Ocom__rec' [84, 10] (w:1, o:217, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OCall' [87, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.96/1.44 'c_COMBI' [89, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OAss' [91, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OCond' [94, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.96/1.44 'c_in' [96, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.96/1.44 'class_Complete__Lattice_Ocomplete__lattice' [97, 1] (w:1, o:132, a:1
% 0.96/1.44 , s:1, b:0),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [100, 4] (w:1
% 0.96/1.44 , o:204, a:1, s:1, b:0),
% 0.96/1.44 'c_lessequals' [101, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf' [102, 3] (w:1, o:191, a:
% 0.96/1.44 1, s:1, b:0),
% 0.96/1.44 'class_Lattices_Olattice' [103, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.96/1.44 'c_Fun_Ocomp' [106, 5] (w:1, o:211, a:1, s:1, b:0),
% 0.96/1.44 'class_Lattices_Odistrib__lattice' [107, 1] (w:1, o:134, a:1, s:1, b:
% 0.96/1.44 0),
% 0.96/1.44 'c_Collect' [111, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.96/1.44 'c_Fun_Oid' [112, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.96/1.44 'class_Lattices_Oupper__semilattice' [113, 1] (w:1, o:136, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_Com_Ocom_Ocom__case' [114, 10] (w:1, o:218, a:1, s:1, b:0),
% 0.96/1.44 'c_COMBC' [115, 4] (w:1, o:205, a:1, s:1, b:0),
% 0.96/1.44 'class_OrderedGroup_Oab__group__add' [122, 1] (w:1, o:137, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_Com_OWT' [130, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.96/1.44 'class_Lattices_Olower__semilattice' [131, 1] (w:1, o:139, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice' [141, 9] (w:1, o:216, a:1
% 0.96/1.44 , s:1, b:0),
% 0.96/1.44 'class_Lattices_Obounded__lattice' [144, 1] (w:1, o:140, a:1, s:1, b:
% 0.96/1.44 0),
% 0.96/1.44 'c_Suc' [148, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.96/1.44 'tc_nat' [153, 0] (w:1, o:102, a:1, s:1, b:0),
% 0.96/1.44 'class_Orderings_Oorder' [155, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.96/1.44 'c_Hoare__Mirabelle_Otriple_Otriple' [159, 4] (w:1, o:206, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [162, 4] (w:1, o:207, a:1
% 0.96/1.44 , s:1, b:0),
% 0.96/1.44 'class_HOL_Ominus' [163, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.96/1.44 'c_fequal' [164, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.96/1.44 'c_SetInterval_Oord_OatLeastLessThan' [166, 5] (w:1, o:212, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_SetInterval_Oord_OatLeastAtMost' [167, 4] (w:1, o:208, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [168, 3] (w:1, o:192, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [169, 3] (w:1, o:193, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [171,
% 0.96/1.44 4] (w:1, o:209, a:1, s:1, b:0),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XballE__1__1' [173, 3] (w:1, o:194, a:1, s:
% 0.96/1.44 1, b:0),
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [174, 5] (w:1
% 0.96/1.44 , o:213, a:1, s:1, b:0),
% 0.96/1.44 'c_Fun_Ofcomp' [175, 5] (w:1, o:214, a:1, s:1, b:0),
% 0.96/1.44 'class_Orderings_Opreorder' [179, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.96/1.44 'class_OrderedGroup_Opordered__ab__group__add' [184, 1] (w:1, o:146
% 0.96/1.44 , a:1, s:1, b:0),
% 0.96/1.44 'class_Orderings_Olinorder' [185, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.96/1.44 'c_SetInterval_Oord_OatMost' [187, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.96/1.44 'c_SetInterval_Oord_OgreaterThan' [190, 3] (w:1, o:196, a:1, s:1, b:0
% 0.96/1.44 ),
% 0.96/1.44 'c_SetInterval_Oord_OlessThan' [191, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.96/1.44
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [192, 3] (w:1, o:198, a:1
% 0.96/1.44 , s:1, b:0),
% 0.96/1.44 'c_Com_Ocom_OSKIP' [193, 0] (w:1, o:107, a:1, s:1, b:0),
% 0.96/1.44 'c_Natural_Oevaln' [194, 4] (w:1, o:210, a:1, s:1, b:0),
% 0.96/1.44 'c_Natural_Osko__Natural__Xevaln__max2__1__1' [198, 6] (w:1, o:215
% 0.96/1.44 , a:1, s:1, b:0),
% 0.96/1.44 'v_P' [201, 0] (w:1, o:110, a:1, s:1, b:0),
% 0.96/1.44 'c_Hoare__Mirabelle_Otriple__valid' [202, 3] (w:1, o:199, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'tc_Hoare__Mirabelle_Otriple' [204, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.96/1.44 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1' [207, 2] (w:1, o:
% 0.96/1.44 180, a:1, s:1, b:0),
% 0.96/1.44 'c_Hoare__Mirabelle_Ohoare__valids' [208, 3] (w:1, o:200, a:1, s:1
% 0.96/1.44 , b:0),
% 0.96/1.44 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1' [209, 2] (w:1, o:
% 0.96/1.44 181, a:1, s:1, b:0),
% 0.96/1.44 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2' [210, 2] (w:1, o:
% 0.96/1.44 182, a:1, s:1, b:0),
% 0.96/1.44 'v_xa' [213, 0] (w:1, o:115, a:1, s:1, b:0),
% 0.96/1.44 'v_n' [214, 0] (w:1, o:116, a:1, s:1, b:0),
% 0.96/1.44 'v_xb' [215, 0] (w:1, o:117, a:1, s:1, b:0),
% 0.96/1.44 'v_Ga' [216, 0] (w:1, o:118, a:1, s:1, b:0).
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44 Starting Search:
% 0.96/1.44
% 0.96/1.44 Resimplifying inuse:
% 0.96/1.44 Done
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44 Intermediate Status:
% 0.96/1.44 Generated: 4271
% 0.96/1.44 Kept: 2087
% 0.96/1.44 Inuse: 131
% 0.96/1.44 Deleted: 2
% 0.96/1.44 Deletedinuse: 0
% 0.96/1.44
% 0.96/1.44 Resimplifying inuse:
% 0.96/1.44 Done
% 0.96/1.44
% 0.96/1.44 Resimplifying inuse:
% 0.96/1.44 Done
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44 Intermediate Status:
% 0.96/1.44 Generated: 11541
% 0.96/1.44 Kept: 5050
% 0.96/1.44 Inuse: 243
% 0.96/1.44 Deleted: 4
% 0.96/1.44 Deletedinuse: 0
% 0.96/1.44
% 0.96/1.44 Resimplifying inuse:
% 0.96/1.44
% 0.96/1.44 Bliksems!, er is een bewijs:
% 0.96/1.44 % SZS status Unsatisfiable
% 0.96/1.44 % SZS output start Refutation
% 0.96/1.44
% 0.96/1.44 clause( 389, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z,
% 0.96/1.44 X ) ) ] )
% 0.96/1.44 .
% 0.96/1.44 clause( 390, [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ] )
% 0.96/1.44 .
% 0.96/1.44 clause( 391, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', 'v_xa', 'v_n',
% 0.96/1.44 'v_xb' ) ] )
% 0.96/1.44 .
% 0.96/1.44 clause( 392, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xb' ) ) ) ] )
% 0.96/1.44 .
% 0.96/1.44 clause( 4025, [ =( 'v_xb', 'v_xa' ) ] )
% 0.96/1.44 .
% 0.96/1.44 clause( 5050, [] )
% 0.96/1.44 .
% 0.96/1.44
% 0.96/1.44
% 0.96/1.44 % SZS output end Refutation
% 0.96/1.44 found a proof!
% 0.96/1.44
% 0.96/1.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.44
% 0.96/1.44 initialclauses(
% 0.96/1.44 [ clause( 5052, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.96/1.44 , 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.96/1.44 , 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5053, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.96/1.44 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T ) ) ] )
% 0.96/1.44 , clause( 5054, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.96/1.44 , clause( 5055, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, Z ),
% 0.96/1.44 hBOOL( hAPP( X, Z ) ) ] )
% 0.96/1.44 , clause( 5056, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z
% 0.96/1.44 , T, U ) ) ) ] )
% 0.96/1.44 , clause( 5057, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5058, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5059, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OLocal'( Y, Z
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5060, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5061, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.44 , clause( 5062, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( hAPP( T, V2 ), V3 )
% 0.96/1.44 , 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V2, V4 ) ),
% 0.96/1.44 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ] )
% 0.96/1.44 , clause( 5063, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'(
% 0.96/1.44 T, U, W ) ) ), =( X, T ) ] )
% 0.96/1.44 , clause( 5064, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'(
% 0.96/1.44 T, U, W ) ) ), =( Y, U ) ] )
% 0.96/1.44 , clause( 5065, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'(
% 0.96/1.44 T, U, W ) ) ), =( Z, W ) ] )
% 0.96/1.44 , clause( 5066, [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ] )
% 0.96/1.44 , clause( 5067, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( hAPP( Z, V2 )
% 0.96/1.44 , V3 ), V4 ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V4, V5 )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5068, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5069, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OBODY'(
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5070, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 0.96/1.44 T, U, W ) ) ) ] )
% 0.96/1.44 , clause( 5071, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.96/1.44 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5072, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.44 'c_lessequals'( hAPP( Y, Z ),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ), X )
% 0.96/1.44 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ] )
% 0.96/1.44 , clause( 5073, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCall'(
% 0.96/1.44 T, U, W ) ) ) ] )
% 0.96/1.44 , clause( 5074, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.44 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 0.96/1.44 , clause( 5075, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5076, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 0.96/1.44 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z ) ) ) ) ] )
% 0.96/1.44 , clause( 5077, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.96/1.44 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.44 , 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5078, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.96/1.44 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.96/1.44 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.96/1.44 , clause( 5079, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W )
% 0.96/1.44 , ~( 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 0.96/1.44 , clause( 5080, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5081, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5082, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5083, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5084, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z
% 0.96/1.44 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5085, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5086, [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5087, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5088, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.96/1.44 , clause( 5089, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSemi'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5090, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ] )
% 0.96/1.44 , clause( 5091, [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ] )
% 0.96/1.44 , clause( 5092, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.96/1.44 , V4 ) ) ] )
% 0.96/1.44 , clause( 5093, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.96/1.44 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 0.96/1.44 , clause( 5094, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5095, [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP(
% 0.96/1.44 hAPP( X, W ), U ) ) ] )
% 0.96/1.44 , clause( 5096, [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ] )
% 0.96/1.44 , clause( 5097, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5098, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.44 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.96/1.44 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.96/1.44 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), T, U ) ] )
% 0.96/1.44 , clause( 5099, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.44 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.96/1.44 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 0.96/1.44 , clause( 5100, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.96/1.44 Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5101, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OAss'( V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ] )
% 0.96/1.44 , clause( 5102, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T ),
% 0.96/1.44 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), U, T ) ), ~(
% 0.96/1.44 'c_Natural_Oevalc'( Y, Z, U ) ), ~( hBOOL( hAPP( X, Z ) ) ) ] )
% 0.96/1.44 , clause( 5103, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.44 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 0.96/1.44 , clause( 5104, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.44 , T, X ) ) ), =( Y, Z ) ] )
% 0.96/1.44 , clause( 5105, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.44 , T, X ) ) ), =( Z, T ) ] )
% 0.96/1.44 , clause( 5106, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5107, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U )
% 0.96/1.44 , ~( 'c_Natural_Oevalc'( Y, T, U ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 0.96/1.44 , clause( 5108, [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevalc'( Z, Y, T )
% 0.96/1.44 , ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Z, U ), Y, T ) ) ] )
% 0.96/1.44 , clause( 5109, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ),
% 0.96/1.44 ~( 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5110, [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ] )
% 0.96/1.44 , clause( 5111, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 0.96/1.44 , clause( 5112, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5113, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5114, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5115, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5116, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5117, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5118, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.96/1.44 'c_lessequals'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5119, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ) ] )
% 0.96/1.44 , clause( 5120, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.96/1.44 'c_lessequals'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5121, [ 'c_Com_OWT'( 'c_Com_Ocom_OCall'( X, Y, Z ) ), ~(
% 0.96/1.44 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( Y ) ) ) ] )
% 0.96/1.44 , clause( 5122, [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), ~( 'c_Com_OWT'(
% 0.96/1.44 'c_Com_Ocom_OCall'( Y, X, Z ) ) ) ] )
% 0.96/1.44 , clause( 5123, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5124, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 0.96/1.44 ), X ) ] )
% 0.96/1.44 , clause( 5125, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 0.96/1.44 ), X ) ] )
% 0.96/1.44 , clause( 5126, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5127, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5128, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 0.96/1.44 , clause( 5129, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 0.96/1.44 , clause( 5130, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5131, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5132, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5133, [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'(
% 0.96/1.44 Z, T, T, 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T )
% 0.96/1.44 , ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1
% 0.96/1.44 , T ) ) ] )
% 0.96/1.44 , clause( 5134, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 0.96/1.44 , clause( 5135, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCall'( Z, T
% 0.96/1.44 , U ) ) ) ] )
% 0.96/1.44 , clause( 5136, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.96/1.44 , clause( 5137, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OBODY'( Z )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5138, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 0.96/1.44 , clause( 5139, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z,
% 0.96/1.44 T ) ) ), =( Y, T ) ] )
% 0.96/1.44 , clause( 5140, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z,
% 0.96/1.44 T ) ) ), =( X, Z ) ] )
% 0.96/1.44 , clause( 5141, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5142, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.96/1.44 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5143, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.96/1.44 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5144, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z,
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5145, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 0.96/1.44 , clause( 5146, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z
% 0.96/1.44 , T, U ) ) ) ] )
% 0.96/1.44 , clause( 5147, [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ] )
% 0.96/1.44 , clause( 5148, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.96/1.44 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), T ), X, T ) ) ) ] )
% 0.96/1.44 , clause( 5149, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z ) ) ] )
% 0.96/1.44 , clause( 5150, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.96/1.44 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 0.96/1.44 , clause( 5151, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5152, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.96/1.44 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5153, [ ~( =(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 0.96/1.44 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ] )
% 0.96/1.44 , clause( 5154, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OAss'( Y, Z )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5155, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5156, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U
% 0.96/1.44 , Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 0.96/1.44 , clause( 5157, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'(
% 0.96/1.44 T, U, W ) ) ) ] )
% 0.96/1.44 , clause( 5158, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 X ) ) ] )
% 0.96/1.44 , clause( 5159, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.44 , clause( 5160, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5161, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.44 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5162, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5163, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X
% 0.96/1.44 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T,
% 0.96/1.44 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.96/1.44 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5164, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.96/1.44 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.96/1.44 , X, V0, V1, V2, U, V3, V4, T ) ) ] )
% 0.96/1.44 , clause( 5165, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.96/1.44 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.96/1.44 , W, V0, V1, U, V2, V3, V4, T ) ) ] )
% 0.96/1.44 , clause( 5166, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 0.96/1.44 T, U, W ) ) ), =( Z, W ) ] )
% 0.96/1.44 , clause( 5167, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 0.96/1.44 T, U, W ) ) ), =( Y, U ) ] )
% 0.96/1.44 , clause( 5168, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 0.96/1.44 T, U, W ) ) ), =( X, T ) ] )
% 0.96/1.44 , clause( 5169, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 0.96/1.44 T, U, W ) ) ) ] )
% 0.96/1.44 , clause( 5170, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.44 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5171, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 0.96/1.44 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5172, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 0.96/1.44 hAPP( Y, W ) ) ) ] )
% 0.96/1.44 , clause( 5173, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T
% 0.96/1.44 , U, W ), Z ) ) ] )
% 0.96/1.44 , clause( 5174, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.96/1.44 , clause( 5175, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.96/1.44 , clause( 5176, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z,
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5177, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z,
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5178, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 0.96/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5179, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 0.96/1.44 , clause( 5180, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 0.96/1.44 , clause( 5181, [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~(
% 0.96/1.44 'c_Com_OWT'( Z ) ), ~( 'c_Com_OWT'( Y ) ) ] )
% 0.96/1.44 , clause( 5182, [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ] )
% 0.96/1.44 , clause( 5183, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'(
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5184, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z,
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5185, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5186, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5187, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5188, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5189, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5190, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5191, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5192, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 0.96/1.44 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5193, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 0.96/1.44 , clause( 5194, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 0.96/1.44 , clause( 5195, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ) ), Y ) ] )
% 0.96/1.44 , clause( 5196, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.44 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5197, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5198, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 0.96/1.44 , clause( 5199, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5200, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T
% 0.96/1.44 , U ) ) ) ] )
% 0.96/1.44 , clause( 5201, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5202, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5203, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5204, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5205, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 0.96/1.44 , clause( 5206, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5207, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 0.96/1.44 , clause( 5208, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCall'( Z
% 0.96/1.44 , T, U ) ) ) ] )
% 0.96/1.44 , clause( 5209, [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ] )
% 0.96/1.44 , clause( 5210, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5211, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~(
% 0.96/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5212, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 0.96/1.44 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 0.96/1.44 , clause( 5213, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.96/1.44 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5214, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.96/1.44 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5215, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.96/1.44 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5216, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 0.96/1.44 , clause( 5217, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5218, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.96/1.44 'c_lessequals'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5219, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ) ] )
% 0.96/1.44 , clause( 5220, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.96/1.44 'c_lessequals'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5221, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.44 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 0.96/1.44 , clause( 5222, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.44 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 0.96/1.44 , clause( 5223, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.44 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 0.96/1.44 , clause( 5224, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.44 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 0.96/1.44 , clause( 5225, [ 'c_Natural_Oevalc'( X, Y, Z ), hBOOL( hAPP( T, Y ) ), ~(
% 0.96/1.44 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T, U, X ), Y, Z ) ) ] )
% 0.96/1.44 , clause( 5226, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U )
% 0.96/1.44 , ~( 'c_Natural_Oevalc'( Z, T, U ) ), hBOOL( hAPP( X, T ) ) ] )
% 0.96/1.44 , clause( 5227, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.96/1.44 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5228, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T )
% 0.96/1.44 , 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ] )
% 0.96/1.44 , clause( 5229, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T )
% 0.96/1.44 , 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ] )
% 0.96/1.44 , clause( 5230, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T )
% 0.96/1.44 , 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5231, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y,
% 0.96/1.44 X ) ) ) ] )
% 0.96/1.44 , clause( 5232, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X,
% 0.96/1.44 Y ) ) ) ] )
% 0.96/1.44 , clause( 5233, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( X ), U ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5234, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( X ), U ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5235, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U,
% 0.96/1.44 Y ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X
% 0.96/1.44 , V0, V1, V2, U, V3, V4, T ) ) ] )
% 0.96/1.44 , clause( 5236, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.44 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.96/1.44 Y, Z ) ) ] )
% 0.96/1.44 , clause( 5237, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 0.96/1.44 , Z ) ] )
% 0.96/1.44 , clause( 5238, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5239, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( Z ), X ), Y ) ) ] )
% 0.96/1.44 , clause( 5240, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OBODY'(
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5241, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCall'( Y, Z,
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5242, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OLocal'(
% 0.96/1.44 T, U, W ) ) ) ] )
% 0.96/1.44 , clause( 5243, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Suc'( Y ), X, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5244, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.96/1.44 'c_lessequals'( Y, X, 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5245, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OWhile'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5246, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 0.96/1.44 hAPP( Y, T ) ) ) ] )
% 0.96/1.44 , clause( 5247, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T
% 0.96/1.44 , U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.96/1.44 T ), Y ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5248, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 0.96/1.44 , clause( 5249, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 0.96/1.44 , clause( 5250, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.44 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.44 , 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5251, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.44 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.44 , 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5252, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.44 , clause( 5253, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.44 , clause( 5254, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'(
% 0.96/1.44 'c_Fun_Oid'( T ), W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W
% 0.96/1.44 , V0 ) ) ] )
% 0.96/1.44 , clause( 5255, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5256, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5257, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5258, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5259, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.96/1.44 , clause( 5260, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.96/1.44 , clause( 5261, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 0.96/1.44 , clause( 5262, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5263, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.96/1.44 , clause( 5264, [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ] )
% 0.96/1.44 , clause( 5265, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5266, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( T, V2 ), V3 ) ) ] )
% 0.96/1.44 , clause( 5267, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'(
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5268, [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U
% 0.96/1.44 , T ), 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ] )
% 0.96/1.44 , clause( 5269, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.96/1.44 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5270, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5271, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5272, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5273, [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ] )
% 0.96/1.44 , clause( 5274, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) )
% 0.96/1.44 ), =( X, Y ) ] )
% 0.96/1.44 , clause( 5275, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z
% 0.96/1.44 , T ) ) ), =( X, Z ) ] )
% 0.96/1.44 , clause( 5276, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z
% 0.96/1.44 , T ) ) ), =( Y, T ) ] )
% 0.96/1.44 , clause( 5277, [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~(
% 0.96/1.44 'c_Com_OWT'( Y ) ) ] )
% 0.96/1.44 , clause( 5278, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y
% 0.96/1.44 , X ) ) ) ] )
% 0.96/1.44 , clause( 5279, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.96/1.44 , V4 ) ) ] )
% 0.96/1.44 , clause( 5280, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5281, [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5282, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5283, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5284, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5285, [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T
% 0.96/1.44 ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.96/1.44 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ] )
% 0.96/1.44 , clause( 5286, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.44 ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z, X ) ) ] )
% 0.96/1.44 , clause( 5287, [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~(
% 0.96/1.44 'c_Com_OWT'( Z ) ) ] )
% 0.96/1.44 , clause( 5288, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( Y
% 0.96/1.44 , Z, X ) ) ) ] )
% 0.96/1.44 , clause( 5289, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5290, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z
% 0.96/1.44 , T, U ) ) ) ] )
% 0.96/1.44 , clause( 5291, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OBODY'( V2 ), V3 ), hAPP( V0, V2 ) ) ] )
% 0.96/1.44 , clause( 5292, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.96/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5293, [ =( 'c_Set_Ovimage'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.96/1.44 , 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5294, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCall'( Z,
% 0.96/1.44 T, U ) ) ) ] )
% 0.96/1.44 , clause( 5295, [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ),
% 0.96/1.44 ~( 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5296, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 0.96/1.44 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.96/1.44 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.96/1.44 Z, T, U ), U, X ) ) ] )
% 0.96/1.44 , clause( 5297, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OAss'( V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ] )
% 0.96/1.44 , clause( 5298, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'( T
% 0.96/1.44 , U ) ) ) ] )
% 0.96/1.44 , clause( 5299, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.96/1.44 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 0.96/1.44 , clause( 5300, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5301, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5302, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z, T ) ) ] )
% 0.96/1.44 , clause( 5303, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z, T ) ) ] )
% 0.96/1.44 , clause( 5304, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( W, V2 ), V3 ),
% 0.96/1.44 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ] )
% 0.96/1.44 , clause( 5305, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.96/1.44 ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( Z ), X ), Y ) ) ] )
% 0.96/1.44 , clause( 5306, [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ] )
% 0.96/1.44 , clause( 5307, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OCond'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( hAPP( hAPP( U,
% 0.96/1.44 V2 ), V3 ), V4 ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3,
% 0.96/1.44 V5 ) ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V4, V5 ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5308, [ =( 'c_Set_Ovimage'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.96/1.44 , 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5309, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5310, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5311, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5312, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z,
% 0.96/1.44 T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 0.96/1.44 , clause( 5313, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z,
% 0.96/1.44 T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 0.96/1.44 , clause( 5314, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.44 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5315, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5316, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 0.96/1.44 , clause( 5317, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5318, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5319, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5320, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5321, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ),
% 0.96/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5322, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP(
% 0.96/1.44 hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5323, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z,
% 0.96/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5324, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.96/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5325, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y
% 0.96/1.44 , X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( X, T ) ) ) ] )
% 0.96/1.44 , clause( 5326, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y
% 0.96/1.44 , X, Z ) ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.96/1.44 ), T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5327, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.96/1.44 Z, X ) ) ) ] )
% 0.96/1.44 , clause( 5328, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.96/1.44 Z, X ) ) ) ] )
% 0.96/1.44 , clause( 5329, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.96/1.44 Z, X ) ) ) ] )
% 0.96/1.44 , clause( 5330, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), T ) ) ), ~( hBOOL( hAPP( X,
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.96/1.44 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.96/1.44 , X, Z ) ) ) ) ] )
% 0.96/1.44 , clause( 5331, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), T ) ) ), ~( hBOOL( hAPP( U,
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.96/1.44 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.96/1.44 , U, Z ) ) ) ) ] )
% 0.96/1.44 , clause( 5332, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 0.96/1.44 hAPP( T, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) ), Z ) ) ] )
% 0.96/1.44 , clause( 5333, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5334, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.44 , clause( 5335, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 0.96/1.44 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.96/1.44 U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ] )
% 0.96/1.44 , clause( 5336, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U,
% 0.96/1.44 Y ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W
% 0.96/1.44 , V0, V1, U, V2, V3, V4, T ) ) ] )
% 0.96/1.44 , clause( 5337, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z,
% 0.96/1.44 T ) ) ) ] )
% 0.96/1.44 , clause( 5338, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.96/1.44 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.96/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( U ), V0 ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5339, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 0.96/1.44 , clause( 5340, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( Z, V2 ), V3 )
% 0.96/1.44 , V4 ) ) ] )
% 0.96/1.44 , clause( 5341, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( W, V2 ), V3 ) ) ] )
% 0.96/1.44 , clause( 5342, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X )
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5343, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.96/1.44 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5344, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 0.96/1.44 , 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ] )
% 0.96/1.44 , clause( 5345, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y,
% 0.96/1.44 hAPP( X, W ) ) ) ] )
% 0.96/1.44 , clause( 5346, [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ),
% 0.96/1.44 Y ), 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5347, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 0.96/1.44 , clause( 5348, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 0.96/1.44 , clause( 5349, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.96/1.44 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5350, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.96/1.44 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5351, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.96/1.44 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5352, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 Z, X ) ] )
% 0.96/1.44 , clause( 5353, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.44 Y, X ) ] )
% 0.96/1.44 , clause( 5354, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U,
% 0.96/1.44 V0, W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5355, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T
% 0.96/1.44 ) ) ), =( Y, T ) ] )
% 0.96/1.44 , clause( 5356, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T
% 0.96/1.44 ) ) ), =( X, Z ) ] )
% 0.96/1.44 , clause( 5357, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OAss'( T
% 0.96/1.44 , U ) ) ) ] )
% 0.96/1.44 , clause( 5358, [ =( 'c_Set_Oinsert'( X,
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ] )
% 0.96/1.44 , clause( 5359, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5360, [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.96/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5361, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5362, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.96/1.44 , clause( 5363, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.96/1.44 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5364, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5365, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ] )
% 0.96/1.44 , clause( 5366, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 0.96/1.44 , clause( 5367, [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5368, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5369, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5370, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5371, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'(
% 0.96/1.44 T, U, W ) ) ), =( Z, W ) ] )
% 0.96/1.44 , clause( 5372, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'(
% 0.96/1.44 T, U, W ) ) ), =( Y, U ) ] )
% 0.96/1.44 , clause( 5373, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'(
% 0.96/1.44 T, U, W ) ) ), =( X, T ) ] )
% 0.96/1.44 , clause( 5374, [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'(
% 0.96/1.44 Y ) ), ~( 'c_Com_OWT'( X ) ) ] )
% 0.96/1.44 , clause( 5375, [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5376, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5377, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U,
% 0.96/1.44 T ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 0.96/1.44 , clause( 5378, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5379, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.44 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X,
% 0.96/1.44 U, W, V0, V1, Z, V2, Y ) ) ] )
% 0.96/1.44 , clause( 5380, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.44 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T,
% 0.96/1.44 U, W, V0, V1, V2, Z, Y ) ) ] )
% 0.96/1.44 , clause( 5381, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevalc'(
% 0.96/1.44 'c_Com_Ocom_OWhile'( X, T ), Y, Z ) ) ] )
% 0.96/1.44 , clause( 5382, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 0.96/1.44 , clause( 5383, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 0.96/1.44 , clause( 5384, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.44 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.96/1.44 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5385, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 0.96/1.44 , clause( 5386, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.96/1.44 , clause( 5387, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.96/1.44 , clause( 5388, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.96/1.44 , clause( 5389, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.96/1.44 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.96/1.44 , clause( 5390, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.96/1.44 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.96/1.44 , clause( 5391, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.96/1.44 , clause( 5392, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.96/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.96/1.44 , clause( 5393, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.96/1.44 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.96/1.44 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.96/1.44 , clause( 5394, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 0.96/1.44 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5395, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.96/1.44 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5396, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5397, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y
% 0.96/1.44 , 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5398, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5399, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 0.96/1.44 , X ) ] )
% 0.96/1.44 , clause( 5400, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.96/1.44 , Y, X ) ] )
% 0.96/1.44 , clause( 5401, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5402, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OBODY'( V2 ), V3 ), hAPP( V0, V2 ) ) ] )
% 0.96/1.44 , clause( 5403, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5404, [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 0.96/1.44 'tc_bool' ), Y ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.96/1.44 , clause( 5405, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5406, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 0.96/1.44 ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3,
% 0.96/1.44 Z ) ) ] )
% 0.96/1.44 , clause( 5407, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 0.96/1.44 ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3,
% 0.96/1.44 Z ) ) ] )
% 0.96/1.44 , clause( 5408, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ] )
% 0.96/1.44 , clause( 5409, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OCond'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( U, V2 ), V3 ),
% 0.96/1.44 V4 ) ) ] )
% 0.96/1.44 , clause( 5410, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5411, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.96/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5412, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W,
% 0.96/1.44 V0, V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5413, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) )
% 0.96/1.44 ), =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'(
% 0.96/1.44 T, U, V3, V1, V4 ), W ) ) ] )
% 0.96/1.44 , clause( 5414, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T )
% 0.96/1.44 , 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.96/1.44 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5415, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5416, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.44 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.96/1.44 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.44 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5417, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 0.96/1.44 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5418, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 0.96/1.44 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 0.96/1.44 , clause( 5419, [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~(
% 0.96/1.44 hBOOL( hAPP( X, T ) ) ) ] )
% 0.96/1.44 , clause( 5420, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.96/1.44 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 0.96/1.44 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.96/1.44 , clause( 5421, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.96/1.44 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 0.96/1.44 ~( 'c_lessequals'( U, T, X ) ) ] )
% 0.96/1.44 , clause( 5422, [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ),
% 0.96/1.44 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), X ) ) ] )
% 0.96/1.44 , clause( 5423, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5424, [ =( 'c_Set_Oimage'( X,
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.44 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.96/1.44 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5425, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.44 , clause( 5426, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCall'(
% 0.96/1.44 T, U, W ) ) ) ] )
% 0.96/1.44 , clause( 5427, [ 'c_Natural_Oevalc'( X, Y, Z ), 'c_Natural_Oevalc'( T, Y,
% 0.96/1.44 Z ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ), Y, Z ) ) ] )
% 0.96/1.44 , clause( 5428, [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ] )
% 0.96/1.44 , clause( 5429, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.96/1.44 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5430, [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ),
% 0.96/1.44 ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 0.96/1.44 , clause( 5431, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y,
% 0.96/1.44 Z, X ) ) ) ] )
% 0.96/1.44 , clause( 5432, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y,
% 0.96/1.44 X, Z ) ) ) ] )
% 0.96/1.44 , clause( 5433, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z
% 0.96/1.44 , U, V0 ), 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5434, [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.96/1.44 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5435, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.96/1.44 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.96/1.44 , clause( 5436, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 0.96/1.44 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.96/1.44 U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ] )
% 0.96/1.44 , clause( 5437, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 0.96/1.44 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.96/1.44 U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ] )
% 0.96/1.44 , clause( 5438, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.96/1.44 X, T, U, W ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) )
% 0.96/1.44 ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ] )
% 0.96/1.44 , clause( 5439, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.96/1.44 Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5440, [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.96/1.44 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ] )
% 0.96/1.44 , clause( 5441, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X )
% 0.96/1.44 ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 0.96/1.44 , clause( 5442, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), 'c_Collect'( X, Z ) ) ) ) ] )
% 0.96/1.44 , clause( 5443, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_SetInterval_Oord_OatMost'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y )
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5444, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Y ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ] )
% 0.96/1.44 , clause( 5445, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 0.96/1.44 ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5446, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 0.96/1.44 ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5447, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.96/1.44 , X, Z ) ), T ) ) ] )
% 0.96/1.44 , clause( 5448, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.96/1.44 , U, Z ) ), T ) ) ] )
% 0.96/1.44 , clause( 5449, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 0.96/1.44 hAPP( T, Y ) ), ~( hBOOL( hAPP( T,
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) ) ) ) ] )
% 0.96/1.44 , clause( 5450, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T,
% 0.96/1.44 Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( Z ), X ), Y ) ), =( Y, T ) ] )
% 0.96/1.44 , clause( 5451, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ] )
% 0.96/1.44 , clause( 5452, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.96/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5453, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.96/1.44 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.96/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5454, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_SetInterval_Oord_OgreaterThan'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z
% 0.96/1.44 , T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5455, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Z ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ] )
% 0.96/1.44 , clause( 5456, [ hBOOL( hAPP( X,
% 0.96/1.44 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.96/1.44 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.96/1.44 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5457, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.96/1.44 T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5458, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.96/1.44 T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5459, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.96/1.44 T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5460, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 0.96/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5461, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 0.96/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5462, [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( U ), T ), Z ) ) ), ~(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2, V3, V4, U
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5463, [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ), ~(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2, V3, V4, U
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5464, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Y ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5465, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Z ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5466, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'(
% 0.96/1.44 Y, Z, X, T ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), U ), Z ) ) ) ] )
% 0.96/1.44 , clause( 5467, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'(
% 0.96/1.44 Y, Z, X, T ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), U ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5468, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.96/1.44 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5469, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( Z ), X ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5470, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.96/1.44 'c_SetInterval_Oord_OlessThan'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y
% 0.96/1.44 ), T ) ) ) ] )
% 0.96/1.44 , clause( 5471, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Y ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ] )
% 0.96/1.44 , clause( 5472, [ hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.44 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.96/1.44 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5473, [ hBOOL( hAPP(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 0.96/1.44 , clause( 5474, [ hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.44 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.96/1.44 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5475, [ hBOOL( hAPP(
% 0.96/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.44 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 0.96/1.44 , clause( 5476, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Y ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T )
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5477, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.44 'c_in'( T ), Z ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T )
% 0.96/1.44 ) ) ) ] )
% 0.96/1.44 , clause( 5478, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.96/1.44 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5479, [ hBOOL( hAPP( X,
% 0.96/1.44 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z ) ) ), ~( hBOOL(
% 0.96/1.44 hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ) ] )
% 0.96/1.44 , clause( 5480, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5481, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 0.96/1.44 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5482, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 0.96/1.44 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5483, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 0.96/1.44 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 0.96/1.44 , T ) ) ) ] )
% 0.96/1.44 , clause( 5484, [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.44 hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.96/1.44 'tc_bool' ), X ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'(
% 0.96/1.44 't_a', 'tc_bool' ), 'tc_bool' ), Y ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 0.96/1.44 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.96/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 't_a',
% 0.96/1.44 'tc_bool' ) ) ) ) ] )
% 0.96/1.44 , clause( 5485, [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.44 hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.96/1.44 'tc_bool' ), X ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'(
% 0.96/1.44 't_a', 'tc_bool' ), 'tc_bool' ), Y ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 0.96/1.44 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.96/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 't_a',
% 0.96/1.44 'tc_bool' ) ) ) ) ] )
% 0.96/1.44 , clause( 5486, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ),
% 0.96/1.44 hAPP( X, hAPP( Y, 'v_x' ) ) ) ] )
% 0.96/1.44 , clause( 5487, [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ] )
% 0.96/1.44 , clause( 5488, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ),
% 0.96/1.44 hAPP( Y, hAPP( X, 'v_x' ) ) ) ] )
% 0.96/1.44 , clause( 5489, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5490, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5491, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5492, [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSKIP' )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5493, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCall'( X, Y, Z ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5494, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5495, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5496, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP'
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5497, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.96/1.44 , clause( 5498, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z )
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5499, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5500, [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OSKIP', V2 ), X ) ] )
% 0.96/1.44 , clause( 5501, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5502, [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1,
% 0.96/1.44 'c_Com_Ocom_OSKIP', V2 ), X ) ] )
% 0.96/1.44 , clause( 5503, [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ] )
% 0.96/1.44 , clause( 5504, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5505, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' )
% 0.96/1.44 ) ] )
% 0.96/1.44 , clause( 5506, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5507, [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y,
% 0.96/1.44 X ) ) ] )
% 0.96/1.44 , clause( 5508, [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U,
% 0.96/1.44 Y, Z, T ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T
% 0.96/1.44 ) ) ] )
% 0.96/1.44 , clause( 5509, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'(
% 0.96/1.44 'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ] )
% 0.96/1.44 , clause( 5510, [ 'c_Natural_Oevaln'( X, Y, Z, T ), ~( 'c_lessequals'( U, Z
% 0.96/1.44 , 'tc_nat' ) ), ~( 'c_Natural_Oevaln'( X, Y, U, T ) ) ] )
% 0.96/1.44 , clause( 5511, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U,
% 0.96/1.44 W ), ~( 'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ] )
% 0.96/1.44 , clause( 5512, [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ),
% 0.96/1.44 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ] )
% 0.96/1.44 , clause( 5513, [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~(
% 0.96/1.44 'c_Natural_Oevaln'( X, Y, Z, T ) ) ] )
% 0.96/1.44 , clause( 5514, [ 'c_Natural_Oevaln'( X, Y,
% 0.96/1.44 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( Z, X, T, Y, U, W ), W ),
% 0.96/1.44 ~( 'c_Natural_Oevaln'( X, Y, V0, W ) ), ~( 'c_Natural_Oevaln'( Z, T, V1,
% 0.96/1.44 U ) ) ] )
% 0.96/1.44 , clause( 5515, [ 'c_Natural_Oevaln'( X, Y,
% 0.96/1.44 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( X, Z, Y, T, U, W ), U ),
% 0.96/1.44 ~( 'c_Natural_Oevaln'( Z, T, V0, W ) ), ~( 'c_Natural_Oevaln'( X, Y, V1,
% 0.96/1.44 U ) ) ] )
% 0.96/1.44 , clause( 5516, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z
% 0.96/1.44 ), hBOOL( hAPP( X, Z ) ) ] )
% 0.96/1.44 , clause( 5517, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U,
% 0.96/1.44 W ), ~( 'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5518, [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T,
% 0.96/1.44 U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5519, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U
% 0.96/1.44 ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~(
% 0.96/1.44 'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ] )
% 0.96/1.44 , clause( 5520, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U )
% 0.96/1.44 , ~( 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T,
% 0.96/1.44 W ) ) ] )
% 0.96/1.44 , clause( 5521, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X,
% 0.96/1.44 Y, T, Z ) ) ] )
% 0.96/1.44 , clause( 5522, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X,
% 0.96/1.44 Y, T, Z ) ) ] )
% 0.96/1.44 , clause( 5523, [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ] )
% 0.96/1.44 , clause( 5524, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.96/1.44 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ] )
% 0.96/1.44 , clause( 5525, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 0.96/1.44 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.44 't_a' ) ), 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T
% 0.96/1.44 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ] )
% 0.96/1.44 , clause( 5526, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 0.96/1.44 , Z ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 0.96/1.44 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.96/1.44 )
% 0.96/1.44 , clause( 5527, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 0.96/1.44 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.96/1.44 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 0.96/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.96/1.44 ), X ) ) ) ] )
% 0.96/1.44 , clause( 5528, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 0.96/1.44 , Z ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 0.96/1.44 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 0.96/1.44 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ] )
% 0.96/1.44 , clause( 5529, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a'
% 0.96/1.44 , 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.96/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ] )
% 0.96/1.44 , clause( 5530, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'(
% 0.96/1.44 T, U, W, Z ) ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.96/1.44 'c_Hoare__Mirabelle_Otriple__valid'( W,
% 0.96/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, X, 't_a' ), 't_a' ) ) ] )
% 0.96/1.44 , clause( 5531, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 0.96/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 0.96/1.44 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.44 't_a' ) ), 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ),
% 0.96/1.44 Z ) ) ] )
% 0.96/1.44 , clause( 5532, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ] )
% 0.96/1.44 , clause( 5533, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.44 hAPP( Z, Y ) ) ) ] )
% 0.96/1.44 , clause( 5534, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.96/1.44 , Y ), X ) ) ) ] )
% 0.96/1.44 , clause( 5535, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y,
% 0.96/1.44 Z, X ) ) ] )
% 0.96/1.44 , clause( 5536, [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ] )
% 0.96/1.44 , clause( 5537, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', 'v_xa', 'v_n',
% 0.96/1.44 'v_xb' ) ] )
% 0.96/1.44 , clause( 5538, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xb' ) ) ) ] )
% 0.96/1.44 , clause( 5539, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_n', X, 't_a' ),
% 0.96/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X
% 0.96/1.44 ), 'v_Ga' ) ) ) ] )
% 0.96/1.44 , clause( 5540, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X
% 0.96/1.44 , Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 0.96/1.44 , clause( 5541, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 0.96/1.44 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.96/1.44 , clause( 5542, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 0.96/1.44 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.96/1.44 , clause( 5543, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 0.96/1.44 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 0.96/1.44 , clause( 5544, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 0.96/1.44 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 0.96/1.44 , clause( 5545, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.44 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.96/1.44 , clause( 5546, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.44 'class_Lattices_Olattice'( Y ) ) ] )
% 0.96/1.44 , clause( 5547, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.44 'class_Orderings_Oorder'( Y ) ) ] )
% 0.96/1.44 , clause( 5548, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.44 'class_Orderings_Obot'( Y ) ) ] )
% 0.96/1.44 , clause( 5549, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.44 'class_HOL_Ominus'( Y ) ) ] )
% 0.96/1.44 , clause( 5550, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5551, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5552, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5553, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5554, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5555, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5556, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5557, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5558, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 0.96/1.44 , clause( 5559, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' )
% 0.96/1.44 ] )
% 0.96/1.44 , clause( 5560, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5561, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5562, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5563, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5564, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5565, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5566, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5567, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5568, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 0.96/1.46 , clause( 5569, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 0.96/1.46 , clause( 5570, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y
% 0.96/1.46 ) ) ) ] )
% 0.96/1.46 ] ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 subsumption(
% 0.96/1.46 clause( 389, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z,
% 0.96/1.46 X ) ) ] )
% 0.96/1.46 , clause( 5535, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y,
% 0.96/1.46 Z, X ) ) ] )
% 0.96/1.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.96/1.46 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 subsumption(
% 0.96/1.46 clause( 390, [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ] )
% 0.96/1.46 , clause( 5536, [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ] )
% 0.96/1.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 subsumption(
% 0.96/1.46 clause( 391, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', 'v_xa', 'v_n',
% 0.96/1.46 'v_xb' ) ] )
% 0.96/1.46 , clause( 5537, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', 'v_xa', 'v_n',
% 0.96/1.46 'v_xb' ) ] )
% 0.96/1.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 subsumption(
% 0.96/1.46 clause( 392, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xb' ) ) ) ] )
% 0.96/1.46 , clause( 5538, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xb' ) ) ) ] )
% 0.96/1.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 eqswap(
% 0.96/1.46 clause( 7183, [ =( Y, X ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z
% 0.96/1.46 , X ) ) ] )
% 0.96/1.46 , clause( 389, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z
% 0.96/1.46 , X ) ) ] )
% 0.96/1.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 resolution(
% 0.96/1.46 clause( 7184, [ =( 'v_xa', 'v_xb' ) ] )
% 0.96/1.46 , clause( 7183, [ =( Y, X ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y,
% 0.96/1.46 Z, X ) ) ] )
% 0.96/1.46 , 1, clause( 391, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', 'v_xa', 'v_n',
% 0.96/1.46 'v_xb' ) ] )
% 0.96/1.46 , 0, substitution( 0, [ :=( X, 'v_xb' ), :=( Y, 'v_xa' ), :=( Z, 'v_n' )] )
% 0.96/1.46 , substitution( 1, [] )).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 eqswap(
% 0.96/1.46 clause( 7185, [ =( 'v_xb', 'v_xa' ) ] )
% 0.96/1.46 , clause( 7184, [ =( 'v_xa', 'v_xb' ) ] )
% 0.96/1.46 , 0, substitution( 0, [] )).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 subsumption(
% 0.96/1.46 clause( 4025, [ =( 'v_xb', 'v_xa' ) ] )
% 0.96/1.46 , clause( 7185, [ =( 'v_xb', 'v_xa' ) ] )
% 0.96/1.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 paramod(
% 0.96/1.46 clause( 7187, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ) ] )
% 0.96/1.46 , clause( 4025, [ =( 'v_xb', 'v_xa' ) ] )
% 0.96/1.46 , 0, clause( 392, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xb' ) ) ) ] )
% 0.96/1.46 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 resolution(
% 0.96/1.46 clause( 7188, [] )
% 0.96/1.46 , clause( 7187, [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ) ] )
% 0.96/1.46 , 0, clause( 390, [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ] )
% 0.96/1.46 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 subsumption(
% 0.96/1.46 clause( 5050, [] )
% 0.96/1.46 , clause( 7188, [] )
% 0.96/1.46 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 end.
% 0.96/1.46
% 0.96/1.46 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.46
% 0.96/1.46 Memory use:
% 0.96/1.46
% 0.96/1.46 space for terms: 115647
% 0.96/1.46 space for clauses: 301667
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 clauses generated: 11542
% 0.96/1.46 clauses kept: 5051
% 0.96/1.46 clauses selected: 243
% 0.96/1.46 clauses deleted: 5
% 0.96/1.46 clauses inuse deleted: 1
% 0.96/1.46
% 0.96/1.46 subsentry: 25272
% 0.96/1.46 literals s-matched: 18701
% 0.96/1.46 literals matched: 18375
% 0.96/1.46 full subsumption: 7871
% 0.96/1.46
% 0.96/1.46 checksum: -1708214379
% 0.96/1.46
% 0.96/1.46
% 0.96/1.46 Bliksem ended
%------------------------------------------------------------------------------