TSTP Solution File: SWV889-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV889-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:03 EDT 2022
% Result : Unsatisfiable 73.40s 73.82s
% Output : Refutation 73.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV889-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.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 : Wed Jun 15 19:25:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.17 *** allocated 10000 integers for termspace/termends
% 0.42/1.17 *** allocated 10000 integers for clauses
% 0.42/1.17 *** allocated 10000 integers for justifications
% 0.42/1.17 *** allocated 15000 integers for termspace/termends
% 0.42/1.17 Bliksem 1.12
% 0.42/1.17
% 0.42/1.17
% 0.42/1.17 Automatic Strategy Selection
% 0.42/1.17
% 0.42/1.17 Clauses:
% 0.42/1.17 [
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), Y, Z ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.42/1.17 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.42/1.17 , T, X ) ) ), =( Z, T ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.42/1.17 , T, X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.42/1.17 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.42/1.17 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.42/1.17 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.42/1.17 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.42/1.17 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.42/1.17 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.42/1.17 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 0.42/1.17 Y, Z, X ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP(
% 0.42/1.17 X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 0.42/1.17 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.42/1.17 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.42/1.17 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.17 , X ) ],
% 0.42/1.17 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.42/1.17 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.42/1.17 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.42/1.17 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.42/1.17 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.42/1.17 , U ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.42/1.17 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.42/1.17 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.42/1.17 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.42/1.17 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.42/1.17 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.42/1.17 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.42/1.17 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.42/1.17 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.42/1.17 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.17 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.42/1.17 ), Z ), 'c_in'( X, Y, Z ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.42/1.17 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 0.42/1.17 ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.42/1.17 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.42/1.17 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ) ) ],
% 0.42/1.17 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.42/1.17 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.42/1.17 ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.42/1.17 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.42/1.17 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.42/1.17 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z, T ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.42/1.17 , T ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.42/1.17 , Z ) ],
% 0.42/1.17 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.42/1.17 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 0.42/1.17 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.42/1.17 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.42/1.17 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.42/1.17 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.42/1.17 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.42/1.17 T ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.42/1.17 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.42/1.17 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.42/1.17 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.42/1.17 X, T ), Y ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.42/1.17 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.42/1.17 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.42/1.17 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.42/1.17 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.42/1.17 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.42/1.17 ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.17 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.42/1.17 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.42/1.17 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.42/1.17 Y, X ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.42/1.17 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.42/1.17 Y, Z ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.42/1.17 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ) ), 'c_in'( Y, Z, T ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.42/1.17 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.42/1.17 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.42/1.17 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.42/1.17 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.42/1.17 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.42/1.17 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.42/1.17 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.42/1.17 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.42/1.17 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.42/1.17 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T, U ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.42/1.17 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.42/1.17 , T ) ],
% 0.42/1.17 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.42/1.17 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.42/1.17 , T ) ],
% 0.42/1.17 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.42/1.17 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.42/1.17 , Z ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.42/1.17 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.42/1.17 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.42/1.17 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.42/1.17 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.42/1.17 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.42/1.17 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.42/1.17 'c_in'( Z, 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 0.42/1.17 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.42/1.17 , Z, U ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.42/1.17 , Z, U ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.42/1.17 , Z, U ) ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.42/1.17 T ), U ) ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.42/1.17 T ), U ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ), X ), X ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.42/1.17 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.42/1.17 ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.42/1.17 =( X, Z ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.42/1.17 =( Y, T ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.42/1.17 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.42/1.17 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.42/1.17 ) ), Z, X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ), X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.42/1.17 Y, X ) ],
% 0.42/1.17 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.42/1.17 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.42/1.17 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 0.42/1.17 Y, Z, T ), T, U ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.42/1.17 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.42/1.17 'c_in'( X, T, Z ) ],
% 0.42/1.17 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), Y ) ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), Y ) ) ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.42/1.17 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.42/1.17 , Z ) ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z, T ) ) ],
% 0.42/1.17 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z, T ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.42/1.17 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Z,
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.42/1.17 Y, X ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.42/1.17 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.42/1.17 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.42/1.17 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T, U ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.42/1.17 , =( Z, W ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.42/1.17 , =( Y, U ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.42/1.17 , =( X, T ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.42/1.17 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.42/1.17 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.42/1.17 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.42/1.17 , Y ) ],
% 0.42/1.17 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.42/1.17 ) ) ), =( X, Z ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.42/1.17 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 0.42/1.17 ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.42/1.17 , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.42/1.17 Y, Z ) ],
% 0.42/1.17 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), Y ) ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.42/1.17 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 0.42/1.17 ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.42/1.17 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), Y ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), Y ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.42/1.17 X, 'tc_bool' ) ), Y ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.42/1.17 , X ), X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.42/1.17 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.42/1.17 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.42/1.17 Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.42/1.17 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 0.42/1.17 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.42/1.17 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.42/1.17 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.42/1.17 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Y,
% 0.42/1.17 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 0.42/1.17 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ), Y ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'(
% 0.42/1.17 T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.42/1.17 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.42/1.17 , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.42/1.17 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.42/1.17 X, 'tc_bool' ) ), Y ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.42/1.17 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.17 , Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.17 , Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.42/1.17 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.42/1.17 ), Y ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.17 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.42/1.17 , Z ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.17 , X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.42/1.17 Z ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.42/1.17 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.42/1.17 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.42/1.17 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ],
% 0.42/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.17 ), =( Z, Y ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.17 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.42/1.17 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.42/1.17 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.42/1.17 , U ), U ) ],
% 0.42/1.17 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.42/1.17 , U ), U ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.42/1.17 , Z, T ) ) ],
% 0.42/1.17 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.42/1.17 , Z, T ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.17 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.17 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.42/1.17 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.42/1.17 ), Y ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.42/1.17 ), Y ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.42/1.17 ), Y ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.42/1.17 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.42/1.17 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.42/1.17 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.42/1.17 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.42/1.17 ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.42/1.17 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.42/1.17 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.42/1.17 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.42/1.17 , X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.17 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.42/1.17 ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 T, X ), Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.42/1.17 Y, X ), Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 T, X ), Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.42/1.17 Y, X ), Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.42/1.17 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.42/1.17 , X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.42/1.17 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.17 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.17 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.42/1.17 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.42/1.17 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.42/1.17 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.42/1.17 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.42/1.17 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 Z, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 T, Z, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.42/1.17 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.42/1.17 'c_lessequals'( Z, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 Z, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.42/1.17 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 T, Z, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.42/1.17 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.42/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.42/1.17 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.42/1.17 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.42/1.17 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.42/1.17 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.42/1.17 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.42/1.17 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.17 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.42/1.17 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.42/1.17 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.42/1.17 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.42/1.17 'tc_bool' ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.17 ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.42/1.17 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.42/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.42/1.17 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.42/1.17 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.42/1.17 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.42/1.17 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.42/1.17 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.42/1.17 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.42/1.17 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.42/1.17 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.42/1.17 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.42/1.17 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.42/1.17 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.42/1.17 ), Y ) ) ],
% 0.42/1.17 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.42/1.17 ), Y ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.42/1.17 ), Y ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.42/1.17 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.42/1.17 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.42/1.17 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.42/1.17 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.42/1.17 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), T ), U, T ), U ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( Y,
% 0.42/1.17 T ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( X,
% 0.42/1.17 Z ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.42/1.17 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.42/1.17 , T, Z ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.42/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.42/1.17 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.42/1.17 ), =( Z, W ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.42/1.17 ), =( Y, U ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.42/1.17 ), =( X, T ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.17 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.42/1.17 , 'tc_bool' ) ), Z ) ) ],
% 0.42/1.17 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.42/1.17 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.42/1.17 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), T ) ) ],
% 0.42/1.17 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.42/1.17 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.42/1.17 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.42/1.17 , Z ) ) ],
% 0.42/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.42/1.17 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.42/1.17 'tc_bool' ) ), X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.17 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.42/1.17 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 0.42/1.17 X, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.42/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 T, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.17 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.42/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.17 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.17 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.42/1.17 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.17 Z, 'tc_bool' ) ) ) ],
% 0.42/1.17 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.42/1.17 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.42/1.17 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.42/1.17 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.42/1.17 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.42/1.17 ,
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.42/1.17 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.42/1.17 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.42/1.17 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.42/1.17 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.42/1.17 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.42/1.17 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.17 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 0.42/1.17 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.42/1.18 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.18 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.42/1.18 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.42/1.18 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.42/1.18 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.42/1.18 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.18 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.42/1.18 Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.42/1.18 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.42/1.18 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.42/1.18 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.42/1.18 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.18 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.42/1.18 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.18 T, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.42/1.18 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.42/1.18 Y, X ) ) ],
% 0.42/1.18 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.42/1.18 X, T, U ), Z ) ) ) ],
% 0.42/1.18 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.42/1.18 hAPP( X, U ) ) ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.42/1.18 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.42/1.18 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.42/1.18 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.42/1.18 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.42/1.18 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.42/1.18 , T ) ) ],
% 0.42/1.18 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.42/1.18 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.42/1.18 , T ) ) ],
% 0.42/1.18 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.42/1.18 hAPP( X, T ) ) ) ],
% 0.42/1.18 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.42/1.18 'c_HOL_Ouminus__class_Ouminus'(
% 0.42/1.18 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.42/1.18 , X ), X ), X ) ) ],
% 0.42/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.42/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.42/1.18 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.42/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.42/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.42/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.42/1.18 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.42/1.18 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.42/1.18 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.18 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.18 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 ) ],
% 0.42/1.18 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.42/1.18 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.42/1.18 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.18 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.18 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 0.42/1.18 , X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.42/1.18 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.18 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 ) ],
% 0.42/1.18 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.42/1.18 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.42/1.18 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.42/1.18 ],
% 0.42/1.18 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.18 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.18 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.18 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.42/1.18 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.42/1.18 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.42/1.18 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.42/1.18 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.42/1.18 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.42/1.18 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.42/1.18 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.42/1.18 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.42/1.18 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.42/1.18 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.42/1.18 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.18 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.42/1.18 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.42/1.18 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( Y,
% 0.42/1.18 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.42/1.18 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.42/1.18 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.42/1.18 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.42/1.18 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.18 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.42/1.18 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.42/1.18 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.42/1.18 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.42/1.18 ],
% 0.42/1.18 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.42/1.18 ],
% 0.42/1.18 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.42/1.18 ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.42/1.18 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.42/1.18 ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.42/1.18 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.42/1.18 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.42/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.42/1.18 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.42/1.18 Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.42/1.18 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.42/1.18 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.42/1.18 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.42/1.18 ],
% 0.42/1.18 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.42/1.18 ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.42/1.18 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.42/1.18 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.42/1.18 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.42/1.18 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.42/1.18 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.42/1.18 , 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.42/1.18 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( X,
% 0.42/1.18 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.42/1.18 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.42/1.18 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.42/1.18 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, X, Z ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, Z, X ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~(
% 0.42/1.18 'c_Com_OWT'( X ) ) ],
% 0.42/1.18 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ),
% 0.42/1.18 ~( 'c_Com_OWT'( Y ) ) ],
% 0.42/1.18 [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.42/1.18 [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ],
% 0.42/1.18 [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y, X ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( Y, Z, X ) ) ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ ~( =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( Y, 'tc_Com_Ocom' )
% 0.42/1.18 ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 0.42/1.18 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.42/1.18 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.42/1.18 ~( 'c_lessequals'( hAPP( Y,
% 0.42/1.18 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 0.42/1.18 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 0.42/1.18 ],
% 0.42/1.18 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.42/1.18 ~( 'c_lessequals'( hAPP( Y,
% 0.42/1.18 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 0.42/1.18 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 0.42/1.18 ) ), X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.42/1.18 ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.42/1.18 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 0.42/1.18 ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.42/1.18 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.42/1.18 ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.42/1.18 ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.42/1.18 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.42/1.18 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 0.42/1.18 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.42/1.18 'c_lessequals'( Z, Y, X ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.42/1.18 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.42/1.18 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.42/1.18 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.42/1.18 ,
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.42/1.18 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.42/1.18 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.42/1.18 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.42/1.18 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.42/1.18 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.42/1.18 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.42/1.18 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.42/1.18 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.42/1.18 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.42/1.18 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.42/1.18 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.42/1.18 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.42/1.18 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.42/1.18 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.42/1.18 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.42/1.18 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.42/1.18 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.42/1.18 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.42/1.18 [ 'c_Com_OWT__bodies' ],
% 0.42/1.18 [ 'c_Com_OWT'( 'v_c' ) ],
% 0.42/1.18 [ 'c_lessequals'( 'v_ts', 'v_G', 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.42/1.18 'tc_Com_Ostate' ), 'tc_bool' ) ) ],
% 0.42/1.18 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_ts', 'tc_Com_Ostate'
% 0.42/1.18 ) ) ],
% 0.42/1.18 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Lattices_Olattice'( Y ) ) ],
% 0.42/1.18 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Lattices_Olattice'( Y ) ) ],
% 0.42/1.18 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.42/1.18 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.42/1.18 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.42/1.18 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.42/1.18 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.42/1.18 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.42/1.18 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.23 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.23 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.23 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.23 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.23 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.87/1.23 Y ) ) ],
% 0.87/1.23 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.23 Y ) ) ],
% 0.87/1.23 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.23 ,
% 0.87/1.23 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.87/1.23 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.23 [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.23 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.23 ] .
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 percentage equality = 0.271923, percentage horn = 0.920000
% 0.87/1.23 This is a problem with some equality
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Options Used:
% 0.87/1.23
% 0.87/1.23 useres = 1
% 0.87/1.23 useparamod = 1
% 0.87/1.23 useeqrefl = 1
% 0.87/1.23 useeqfact = 1
% 0.87/1.23 usefactor = 1
% 0.87/1.23 usesimpsplitting = 0
% 0.87/1.23 usesimpdemod = 5
% 0.87/1.23 usesimpres = 3
% 0.87/1.23
% 0.87/1.23 resimpinuse = 1000
% 0.87/1.23 resimpclauses = 20000
% 0.87/1.23 substype = eqrewr
% 0.87/1.23 backwardsubs = 1
% 0.87/1.23 selectoldest = 5
% 0.87/1.23
% 0.87/1.23 litorderings [0] = split
% 0.87/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.23
% 0.87/1.23 termordering = kbo
% 0.87/1.23
% 0.87/1.23 litapriori = 0
% 0.87/1.23 termapriori = 1
% 0.87/1.23 litaposteriori = 0
% 0.87/1.23 termaposteriori = 0
% 0.87/1.23 demodaposteriori = 0
% 0.87/1.23 ordereqreflfact = 0
% 0.87/1.23
% 0.87/1.23 litselect = negord
% 0.87/1.23
% 0.87/1.23 maxweight = 15
% 0.87/1.23 maxdepth = 30000
% 0.87/1.23 maxlength = 115
% 0.87/1.23 maxnrvars = 195
% 0.87/1.23 excuselevel = 1
% 0.87/1.23 increasemaxweight = 1
% 0.87/1.23
% 0.87/1.23 maxselected = 10000000
% 0.87/1.23 maxnrclauses = 10000000
% 0.87/1.23
% 0.87/1.23 showgenerated = 0
% 0.87/1.23 showkept = 0
% 0.87/1.23 showselected = 0
% 0.87/1.23 showdeleted = 0
% 0.87/1.23 showresimp = 1
% 0.87/1.23 showstatus = 2000
% 0.87/1.23
% 0.87/1.23 prologoutput = 1
% 0.87/1.23 nrgoals = 5000000
% 0.87/1.23 totalproof = 1
% 0.87/1.23
% 0.87/1.23 Symbols occurring in the translation:
% 0.87/1.23
% 0.87/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.23 . [1, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.87/1.23 ! [4, 1] (w:0, o:75, a:1, s:1, b:0),
% 0.87/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 'tc_bool' [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.87/1.23 'tc_fun' [44, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.87/1.23 'c_Lattices_Oupper__semilattice__class_Osup' [45, 3] (w:1, o:143, a:1
% 0.87/1.23 , s:1, b:0),
% 0.87/1.23 'c_Orderings_Obot__class_Obot' [47, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.87/1.23 'c_Fun_Oinj__on' [49, 4] (w:1, o:158, a:1, s:1, b:0),
% 0.87/1.23 'c_Set_Oimage' [50, 4] (w:1, o:159, a:1, s:1, b:0),
% 0.87/1.23 'c_HOL_Ominus__class_Ominus' [51, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.87/1.23 'c_lessequals' [52, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.87/1.23 'class_Lattices_Oboolean__algebra' [53, 1] (w:1, o:81, a:1, s:1, b:0)
% 0.87/1.23 ,
% 0.87/1.23 'c_HOL_Ouminus__class_Ouminus' [56, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.87/1.23 'c_Lattices_Olower__semilattice__class_Oinf' [57, 3] (w:1, o:146, a:1
% 0.87/1.23 , s:1, b:0),
% 0.87/1.23 'class_OrderedGroup_Oab__group__add' [58, 1] (w:1, o:82, a:1, s:1, b:
% 0.87/1.23 0),
% 0.87/1.23 'c_Set_Oinsert' [62, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.87/1.23 hAPP [63, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.87/1.23 'c_Orderings_Otop__class_Otop' [64, 1] (w:1, o:83, a:1, s:1, b:0),
% 3.35/3.78 'c_in' [65, 3] (w:1, o:148, a:1, s:1, b:0),
% 3.35/3.78 hBOOL [67, 1] (w:1, o:84, a:1, s:1, b:0),
% 3.35/3.78 'class_Orderings_Olinorder' [68, 1] (w:1, o:85, a:1, s:1, b:0),
% 3.35/3.78 'c_SetInterval_Oord__class_OatLeastAtMost' [71, 3] (w:1, o:149, a:1
% 3.35/3.78 , s:1, b:0),
% 3.35/3.78 'c_SetInterval_Oord__class_OgreaterThan' [72, 2] (w:1, o:134, a:1, s:
% 3.35/3.78 1, b:0),
% 3.35/3.78 'c_SetInterval_Oord__class_OatLeast' [73, 2] (w:1, o:135, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'class_Orderings_Oorder' [75, 1] (w:1, o:86, a:1, s:1, b:0),
% 3.35/3.78 'c_HOL_Oord__class_Oless' [77, 3] (w:1, o:150, a:1, s:1, b:0),
% 3.35/3.78 'class_Orderings_Opreorder' [79, 1] (w:1, o:87, a:1, s:1, b:0),
% 3.35/3.78 'class_Lattices_Oupper__semilattice' [80, 1] (w:1, o:88, a:1, s:1, b:
% 3.35/3.78 0),
% 3.35/3.78 'c_Set_Ovimage' [83, 4] (w:1, o:160, a:1, s:1, b:0),
% 3.35/3.78 'c_Finite__Set_Ofinite' [84, 2] (w:1, o:136, a:1, s:1, b:0),
% 3.35/3.78 'class_Lattices_Odistrib__lattice' [85, 1] (w:1, o:89, a:1, s:1, b:0)
% 3.35/3.78 ,
% 3.35/3.78 'c_SetInterval_Oord__class_OatLeastLessThan' [87, 3] (w:1, o:151, a:1
% 3.35/3.78 , s:1, b:0),
% 3.35/3.78 'c_Com_Ocom_OLocal' [91, 3] (w:1, o:152, a:1, s:1, b:0),
% 3.35/3.78 'c_Com_Ocom_OCond' [95, 3] (w:1, o:153, a:1, s:1, b:0),
% 3.35/3.78 'c_Com_Ocom_OAss' [98, 2] (w:1, o:137, a:1, s:1, b:0),
% 3.35/3.78 'c_Com_Ocom_OSemi' [99, 2] (w:1, o:138, a:1, s:1, b:0),
% 3.35/3.78 'c_SetInterval_Oord__class_OlessThan' [101, 2] (w:1, o:139, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'c_Com_Ocom_OWhile' [103, 2] (w:1, o:140, a:1, s:1, b:0),
% 3.35/3.78 'c_Com_Ocom_OSKIP' [104, 0] (w:1, o:48, a:1, s:1, b:0),
% 3.35/3.78 'class_HOL_Oord' [107, 1] (w:1, o:90, a:1, s:1, b:0),
% 3.35/3.78 'class_Lattices_Obounded__lattice' [109, 1] (w:1, o:91, a:1, s:1, b:0
% 3.35/3.78 ),
% 3.35/3.78 'class_Lattices_Olattice' [112, 1] (w:1, o:92, a:1, s:1, b:0),
% 3.35/3.78 'c_SetInterval_Oord__class_OatMost' [114, 2] (w:1, o:141, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'class_Lattices_Olower__semilattice' [115, 1] (w:1, o:93, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'tc_Hoare__Mirabelle_Otriple' [119, 1] (w:1, o:94, a:1, s:1, b:0),
% 3.35/3.78 'c_Hoare__Mirabelle_Ohoare__derivs' [120, 3] (w:1, o:154, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'class_OrderedGroup_Olordered__ab__group__add' [122, 1] (w:1, o:95
% 3.35/3.78 , a:1, s:1, b:0),
% 3.35/3.78 'class_Finite__Set_Ofinite_Ofinite' [124, 1] (w:1, o:96, a:1, s:1, b:
% 3.35/3.78 0),
% 3.35/3.78 'c_Option_Ooption_OSome' [125, 2] (w:1, o:142, a:1, s:1, b:0),
% 3.35/3.78 'class_OrderedGroup_Opordered__ab__group__add' [127, 1] (w:1, o:97
% 3.35/3.78 , a:1, s:1, b:0),
% 3.35/3.78 'class_OrderedGroup_Ogroup__add' [128, 1] (w:1, o:98, a:1, s:1, b:0)
% 3.35/3.78 ,
% 3.35/3.78 'class_Ring__and__Field_Oordered__idom' [129, 1] (w:1, o:99, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'class_Orderings_Otop' [130, 1] (w:1, o:100, a:1, s:1, b:0),
% 3.35/3.78 'class_Orderings_Obot' [131, 1] (w:1, o:101, a:1, s:1, b:0),
% 3.35/3.78 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1' [136, 3] (w:1, o:
% 3.35/3.78 155, a:1, s:1, b:0),
% 3.35/3.78 'c_Hoare__Mirabelle_Ohoare__valids' [137, 3] (w:1, o:156, a:1, s:1
% 3.35/3.78 , b:0),
% 3.35/3.78 'c_Com_OWT' [139, 1] (w:1, o:102, a:1, s:1, b:0),
% 3.35/3.78 'c_Com_Obody' [145, 1] (w:1, o:103, a:1, s:1, b:0),
% 3.35/3.78 'tc_Com_Ocom' [146, 0] (w:1, o:64, a:1, s:1, b:0),
% 3.35/3.78 'c_Com_OWT__bodies' [147, 0] (w:1, o:65, a:1, s:1, b:0),
% 3.35/3.78 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [148, 1] (w:1, o:104
% 3.35/3.78 , a:1, s:1, b:0),
% 3.35/3.78 'c_Hoare__Mirabelle_Ostate__not__singleton' [149, 0] (w:1, o:66, a:1
% 3.35/3.78 , s:1, b:0),
% 3.35/3.78 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [150, 4] (w:1, o:161
% 3.35/3.78 , a:1, s:1, b:0),
% 3.35/3.78 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [151, 4] (w:1
% 3.35/3.78 , o:162, a:1, s:1, b:0),
% 3.35/3.78 'v_c' [154, 0] (w:1, o:68, a:1, s:1, b:0),
% 3.35/3.78 'v_ts' [155, 0] (w:1, o:69, a:1, s:1, b:0),
% 3.35/3.78 'v_G' [156, 0] (w:1, o:70, a:1, s:1, b:0),
% 3.35/3.78 'tc_Com_Ostate' [157, 0] (w:1, o:71, a:1, s:1, b:0),
% 3.35/3.78 'tc_nat' [160, 0] (w:1, o:74, a:1, s:1, b:0),
% 3.35/3.78 'tc_Option_Ooption' [161, 1] (w:1, o:105, a:1, s:1, b:0),
% 3.35/3.78 'c_fequal' [162, 3] (w:1, o:157, a:1, s:1, b:0).
% 3.35/3.78
% 3.35/3.78
% 3.35/3.78 Starting Search:
% 3.35/3.78
% 3.35/3.78 Resimplifying inuse:
% 3.35/3.78 Done
% 3.35/3.78
% 3.35/3.78
% 3.35/3.78 Intermediate Status:
% 3.35/3.78 Generated: 4645
% 3.35/3.78 Kept: 2018
% 3.35/3.78 Inuse: 176
% 3.35/3.78 Deleted: 5
% 3.35/3.78 Deletedinuse: 0
% 3.35/3.78
% 3.35/3.78 Resimplifying inuse:
% 3.35/3.78 Done
% 3.35/3.78
% 3.35/3.78 Resimplifying inuse:
% 3.35/3.78 Done
% 3.35/3.78
% 3.35/3.78
% 3.35/3.78 Intermediate Status:
% 25.43/25.87 Generated: 9592
% 25.43/25.87 Kept: 4037
% 25.43/25.87 Inuse: 287
% 25.43/25.87 Deleted: 6
% 25.43/25.87 Deletedinuse: 0
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 16629
% 25.43/25.87 Kept: 6063
% 25.43/25.87 Inuse: 345
% 25.43/25.87 Deleted: 6
% 25.43/25.87 Deletedinuse: 0
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 23988
% 25.43/25.87 Kept: 8173
% 25.43/25.87 Inuse: 415
% 25.43/25.87 Deleted: 10
% 25.43/25.87 Deletedinuse: 4
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 31387
% 25.43/25.87 Kept: 10177
% 25.43/25.87 Inuse: 449
% 25.43/25.87 Deleted: 20
% 25.43/25.87 Deletedinuse: 13
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 43587
% 25.43/25.87 Kept: 12410
% 25.43/25.87 Inuse: 527
% 25.43/25.87 Deleted: 26
% 25.43/25.87 Deletedinuse: 17
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 54426
% 25.43/25.87 Kept: 14472
% 25.43/25.87 Inuse: 600
% 25.43/25.87 Deleted: 29
% 25.43/25.87 Deletedinuse: 18
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 65613
% 25.43/25.87 Kept: 16531
% 25.43/25.87 Inuse: 654
% 25.43/25.87 Deleted: 31
% 25.43/25.87 Deletedinuse: 19
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 73069
% 25.43/25.87 Kept: 18596
% 25.43/25.87 Inuse: 674
% 25.43/25.87 Deleted: 31
% 25.43/25.87 Deletedinuse: 19
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying clauses:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 80557
% 25.43/25.87 Kept: 20666
% 25.43/25.87 Inuse: 719
% 25.43/25.87 Deleted: 361
% 25.43/25.87 Deletedinuse: 28
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 88353
% 25.43/25.87 Kept: 22671
% 25.43/25.87 Inuse: 731
% 25.43/25.87 Deleted: 361
% 25.43/25.87 Deletedinuse: 28
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 96450
% 25.43/25.87 Kept: 24700
% 25.43/25.87 Inuse: 742
% 25.43/25.87 Deleted: 361
% 25.43/25.87 Deletedinuse: 28
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 102625
% 25.43/25.87 Kept: 26700
% 25.43/25.87 Inuse: 771
% 25.43/25.87 Deleted: 363
% 25.43/25.87 Deletedinuse: 30
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 112139
% 25.43/25.87 Kept: 28727
% 25.43/25.87 Inuse: 817
% 25.43/25.87 Deleted: 363
% 25.43/25.87 Deletedinuse: 30
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 120456
% 25.43/25.87 Kept: 30734
% 25.43/25.87 Inuse: 860
% 25.43/25.87 Deleted: 363
% 25.43/25.87 Deletedinuse: 30
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 131005
% 25.43/25.87 Kept: 32736
% 25.43/25.87 Inuse: 887
% 25.43/25.87 Deleted: 370
% 25.43/25.87 Deletedinuse: 37
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 143953
% 25.43/25.87 Kept: 35028
% 25.43/25.87 Inuse: 893
% 25.43/25.87 Deleted: 370
% 25.43/25.87 Deletedinuse: 37
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 157200
% 25.43/25.87 Kept: 38326
% 25.43/25.87 Inuse: 918
% 25.43/25.87 Deleted: 370
% 25.43/25.87 Deletedinuse: 37
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying clauses:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 172549
% 25.43/25.87 Kept: 40342
% 25.43/25.87 Inuse: 949
% 25.43/25.87 Deleted: 584
% 25.43/25.87 Deletedinuse: 38
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 181786
% 25.43/25.87 Kept: 42382
% 25.43/25.87 Inuse: 981
% 25.43/25.87 Deleted: 585
% 25.43/25.87 Deletedinuse: 39
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 188314
% 25.43/25.87 Kept: 44540
% 25.43/25.87 Inuse: 1005
% 25.43/25.87 Deleted: 585
% 25.43/25.87 Deletedinuse: 39
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 194363
% 25.43/25.87 Kept: 46610
% 25.43/25.87 Inuse: 1023
% 25.43/25.87 Deleted: 586
% 25.43/25.87 Deletedinuse: 40
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 207994
% 25.43/25.87 Kept: 49156
% 25.43/25.87 Inuse: 1043
% 25.43/25.87 Deleted: 587
% 25.43/25.87 Deletedinuse: 41
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 215048
% 25.43/25.87 Kept: 51200
% 25.43/25.87 Inuse: 1056
% 25.43/25.87 Deleted: 587
% 25.43/25.87 Deletedinuse: 41
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 222453
% 25.43/25.87 Kept: 53265
% 25.43/25.87 Inuse: 1070
% 25.43/25.87 Deleted: 587
% 25.43/25.87 Deletedinuse: 41
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87 Resimplifying inuse:
% 25.43/25.87 Done
% 25.43/25.87
% 25.43/25.87
% 25.43/25.87 Intermediate Status:
% 25.43/25.87 Generated: 226628
% 25.43/25.87 Kept: 55294
% 25.43/25.87 Inuse: 1078
% 25.43/25.87 Deleted: 587
% 60.04/60.42 Deletedinuse: 41
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42
% 60.04/60.42 Intermediate Status:
% 60.04/60.42 Generated: 230908
% 60.04/60.42 Kept: 57296
% 60.04/60.42 Inuse: 1086
% 60.04/60.42 Deleted: 587
% 60.04/60.42 Deletedinuse: 41
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42
% 60.04/60.42 Intermediate Status:
% 60.04/60.42 Generated: 236712
% 60.04/60.42 Kept: 59317
% 60.04/60.42 Inuse: 1105
% 60.04/60.42 Deleted: 588
% 60.04/60.42 Deletedinuse: 42
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying clauses:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42
% 60.04/60.42 Intermediate Status:
% 60.04/60.42 Generated: 245393
% 60.04/60.42 Kept: 61550
% 60.04/60.42 Inuse: 1128
% 60.04/60.42 Deleted: 864
% 60.04/60.42 Deletedinuse: 48
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42
% 60.04/60.42 Intermediate Status:
% 60.04/60.42 Generated: 250765
% 60.04/60.42 Kept: 63639
% 60.04/60.42 Inuse: 1141
% 60.04/60.42 Deleted: 864
% 60.04/60.42 Deletedinuse: 48
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42
% 60.04/60.42 Intermediate Status:
% 60.04/60.42 Generated: 256459
% 60.04/60.42 Kept: 65712
% 60.04/60.42 Inuse: 1152
% 60.04/60.42 Deleted: 864
% 60.04/60.42 Deletedinuse: 48
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42 Resimplifying inuse:
% 60.04/60.42 Done
% 60.04/60.42
% 60.04/60.42
% 60.04/60.42 Intermediate Status:
% 60.04/60.42 Generated: 270244
% 60.04/60.42 Kept: 69250
% 60.04/60.43 Inuse: 1168
% 60.04/60.43 Deleted: 864
% 60.04/60.43 Deletedinuse: 48
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 280919
% 60.04/60.43 Kept: 71297
% 60.04/60.43 Inuse: 1175
% 60.04/60.43 Deleted: 865
% 60.04/60.43 Deletedinuse: 49
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 300089
% 60.04/60.43 Kept: 74102
% 60.04/60.43 Inuse: 1183
% 60.04/60.43 Deleted: 865
% 60.04/60.43 Deletedinuse: 49
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 320511
% 60.04/60.43 Kept: 76888
% 60.04/60.43 Inuse: 1198
% 60.04/60.43 Deleted: 865
% 60.04/60.43 Deletedinuse: 49
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 330723
% 60.04/60.43 Kept: 78898
% 60.04/60.43 Inuse: 1227
% 60.04/60.43 Deleted: 865
% 60.04/60.43 Deletedinuse: 49
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying clauses:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 341657
% 60.04/60.43 Kept: 80912
% 60.04/60.43 Inuse: 1261
% 60.04/60.43 Deleted: 976
% 60.04/60.43 Deletedinuse: 51
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 358285
% 60.04/60.43 Kept: 84203
% 60.04/60.43 Inuse: 1293
% 60.04/60.43 Deleted: 981
% 60.04/60.43 Deletedinuse: 56
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 368930
% 60.04/60.43 Kept: 86255
% 60.04/60.43 Inuse: 1299
% 60.04/60.43 Deleted: 981
% 60.04/60.43 Deletedinuse: 56
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 395655
% 60.04/60.43 Kept: 88259
% 60.04/60.43 Inuse: 1345
% 60.04/60.43 Deleted: 990
% 60.04/60.43 Deletedinuse: 57
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 415415
% 60.04/60.43 Kept: 90263
% 60.04/60.43 Inuse: 1391
% 60.04/60.43 Deleted: 1028
% 60.04/60.43 Deletedinuse: 83
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 427728
% 60.04/60.43 Kept: 92370
% 60.04/60.43 Inuse: 1422
% 60.04/60.43 Deleted: 1029
% 60.04/60.43 Deletedinuse: 83
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 439009
% 60.04/60.43 Kept: 94384
% 60.04/60.43 Inuse: 1448
% 60.04/60.43 Deleted: 1030
% 60.04/60.43 Deletedinuse: 84
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 449778
% 60.04/60.43 Kept: 96446
% 60.04/60.43 Inuse: 1472
% 60.04/60.43 Deleted: 1030
% 60.04/60.43 Deletedinuse: 84
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 467572
% 60.04/60.43 Kept: 99114
% 60.04/60.43 Inuse: 1492
% 60.04/60.43 Deleted: 1031
% 60.04/60.43 Deletedinuse: 85
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying clauses:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 480527
% 60.04/60.43 Kept: 101118
% 60.04/60.43 Inuse: 1518
% 60.04/60.43 Deleted: 2131
% 60.04/60.43 Deletedinuse: 85
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 517775
% 60.04/60.43 Kept: 105076
% 60.04/60.43 Inuse: 1527
% 60.04/60.43 Deleted: 2132
% 60.04/60.43 Deletedinuse: 86
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 555983
% 60.04/60.43 Kept: 108854
% 60.04/60.43 Inuse: 1532
% 60.04/60.43 Deleted: 2132
% 60.04/60.43 Deletedinuse: 86
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 573545
% 60.04/60.43 Kept: 111197
% 60.04/60.43 Inuse: 1542
% 60.04/60.43 Deleted: 2132
% 60.04/60.43 Deletedinuse: 86
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43 Resimplifying inuse:
% 60.04/60.43 Done
% 60.04/60.43
% 60.04/60.43
% 60.04/60.43 Intermediate Status:
% 60.04/60.43 Generated: 586589
% 60.04/60.43 Kept: 113401
% 60.04/60.43 Inuse: 1562
% 60.04/60.43 Deleted: 2133
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 605349
% 73.40/73.82 Kept: 116453
% 73.40/73.82 Inuse: 1582
% 73.40/73.82 Deleted: 2133
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 623368
% 73.40/73.82 Kept: 120949
% 73.40/73.82 Inuse: 1587
% 73.40/73.82 Deleted: 2133
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying clauses:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 641216
% 73.40/73.82 Kept: 125451
% 73.40/73.82 Inuse: 1592
% 73.40/73.82 Deleted: 2154
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 653173
% 73.40/73.82 Kept: 127593
% 73.40/73.82 Inuse: 1612
% 73.40/73.82 Deleted: 2154
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 659859
% 73.40/73.82 Kept: 129706
% 73.40/73.82 Inuse: 1624
% 73.40/73.82 Deleted: 2154
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 674909
% 73.40/73.82 Kept: 131749
% 73.40/73.82 Inuse: 1629
% 73.40/73.82 Deleted: 2154
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 704075
% 73.40/73.82 Kept: 135055
% 73.40/73.82 Inuse: 1637
% 73.40/73.82 Deleted: 2154
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 717165
% 73.40/73.82 Kept: 137118
% 73.40/73.82 Inuse: 1655
% 73.40/73.82 Deleted: 2154
% 73.40/73.82 Deletedinuse: 87
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 729509
% 73.40/73.82 Kept: 139164
% 73.40/73.82 Inuse: 1674
% 73.40/73.82 Deleted: 2157
% 73.40/73.82 Deletedinuse: 90
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 750855
% 73.40/73.82 Kept: 142011
% 73.40/73.82 Inuse: 1687
% 73.40/73.82 Deleted: 2157
% 73.40/73.82 Deletedinuse: 90
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying clauses:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 778783
% 73.40/73.82 Kept: 145814
% 73.40/73.82 Inuse: 1702
% 73.40/73.82 Deleted: 2202
% 73.40/73.82 Deletedinuse: 90
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 789932
% 73.40/73.82 Kept: 148153
% 73.40/73.82 Inuse: 1737
% 73.40/73.82 Deleted: 2202
% 73.40/73.82 Deletedinuse: 90
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 800036
% 73.40/73.82 Kept: 150395
% 73.40/73.82 Inuse: 1772
% 73.40/73.82 Deleted: 2203
% 73.40/73.82 Deletedinuse: 91
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 810361
% 73.40/73.82 Kept: 152509
% 73.40/73.82 Inuse: 1807
% 73.40/73.82 Deleted: 2203
% 73.40/73.82 Deletedinuse: 91
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 822760
% 73.40/73.82 Kept: 154640
% 73.40/73.82 Inuse: 1837
% 73.40/73.82 Deleted: 2204
% 73.40/73.82 Deletedinuse: 92
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 830881
% 73.40/73.82 Kept: 156706
% 73.40/73.82 Inuse: 1856
% 73.40/73.82 Deleted: 2205
% 73.40/73.82 Deletedinuse: 92
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 844054
% 73.40/73.82 Kept: 158910
% 73.40/73.82 Inuse: 1871
% 73.40/73.82 Deleted: 2205
% 73.40/73.82 Deletedinuse: 92
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 868878
% 73.40/73.82 Kept: 161008
% 73.40/73.82 Inuse: 1901
% 73.40/73.82 Deleted: 2211
% 73.40/73.82 Deletedinuse: 93
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying clauses:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 883795
% 73.40/73.82 Kept: 163227
% 73.40/73.82 Inuse: 1931
% 73.40/73.82 Deleted: 2868
% 73.40/73.82 Deletedinuse: 93
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 896175
% 73.40/73.82 Kept: 165251
% 73.40/73.82 Inuse: 1959
% 73.40/73.82 Deleted: 2869
% 73.40/73.82 Deletedinuse: 94
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 904138
% 73.40/73.82 Kept: 167644
% 73.40/73.82 Inuse: 1976
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 908335
% 73.40/73.82 Kept: 170142
% 73.40/73.82 Inuse: 1982
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 914673
% 73.40/73.82 Kept: 172226
% 73.40/73.82 Inuse: 1994
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 923528
% 73.40/73.82 Kept: 174282
% 73.40/73.82 Inuse: 2009
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 932682
% 73.40/73.82 Kept: 176305
% 73.40/73.82 Inuse: 2023
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 940548
% 73.40/73.82 Kept: 178381
% 73.40/73.82 Inuse: 2036
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 949616
% 73.40/73.82 Kept: 180834
% 73.40/73.82 Inuse: 2051
% 73.40/73.82 Deleted: 2870
% 73.40/73.82 Deletedinuse: 95
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying clauses:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 959724
% 73.40/73.82 Kept: 182965
% 73.40/73.82 Inuse: 2071
% 73.40/73.82 Deleted: 4443
% 73.40/73.82 Deletedinuse: 97
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Intermediate Status:
% 73.40/73.82 Generated: 984763
% 73.40/73.82 Kept: 185476
% 73.40/73.82 Inuse: 2095
% 73.40/73.82 Deleted: 4469
% 73.40/73.82 Deletedinuse: 122
% 73.40/73.82
% 73.40/73.82 Resimplifying inuse:
% 73.40/73.82 Done
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 Bliksems!, er is een bewijs:
% 73.40/73.82 % SZS status Unsatisfiable
% 73.40/73.82 % SZS output start Refutation
% 73.40/73.82
% 73.40/73.82 clause( 482, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.82 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.82 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 488, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 491, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.82 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 73.40/73.82 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 495, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.82 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 500, [ 'c_lessequals'( 'v_ts', 'v_G', 'tc_fun'(
% 73.40/73.82 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 501, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_ts',
% 73.40/73.82 'tc_Com_Ostate' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 536, [ 'c_fequal'( X, X, Y ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 537, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 2928, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_ts', X )
% 73.40/73.82 ), ~( 'c_fequal'( X, 'tc_Com_Ostate', Y ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 181683, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_ts',
% 73.40/73.82 'tc_Com_Ostate' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_G',
% 73.40/73.82 'tc_Com_Ostate' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 181881, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_G',
% 73.40/73.82 'tc_Com_Ostate' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 184005, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', X,
% 73.40/73.82 'tc_Com_Ostate' ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_G',
% 73.40/73.82 'tc_Com_Ostate' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 184034, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', X,
% 73.40/73.82 'tc_Com_Ostate' ) ), ~( 'c_lessequals'( 'v_G', Y, 'tc_fun'(
% 73.40/73.82 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), ~(
% 73.40/73.82 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, 'tc_Com_Ostate' ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 184051, [ ~( 'c_lessequals'( 'v_G', 'v_G', 'tc_fun'(
% 73.40/73.82 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ) ] )
% 73.40/73.82 .
% 73.40/73.82 clause( 185568, [] )
% 73.40/73.82 .
% 73.40/73.82
% 73.40/73.82
% 73.40/73.82 % SZS output end Refutation
% 73.40/73.82 found a proof!
% 73.40/73.82
% 73.40/73.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 73.40/73.82
% 73.40/73.82 initialclauses(
% 73.40/73.82 [ clause( 185570, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185571, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185572, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 73.40/73.82 , clause( 185573, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 73.40/73.82 , clause( 185574, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 73.40/73.82 , clause( 185575, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185576, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185577, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 73.40/73.82 , T, X ) ) ), =( Z, T ) ] )
% 73.40/73.82 , clause( 185578, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 73.40/73.82 , T, X ) ) ), =( Y, Z ) ] )
% 73.40/73.82 , clause( 185579, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 73.40/73.82 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 73.40/73.82 , clause( 185580, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 73.40/73.82 )
% 73.40/73.82 , clause( 185581, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185582, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 73.40/73.82 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 73.40/73.82 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 73.40/73.82 , clause( 185583, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 73.40/73.82 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 73.40/73.82 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 73.40/73.82 'tc_fun'( T, 'tc_bool' ) ), T, U ) ] )
% 73.40/73.82 , clause( 185584, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 73.40/73.82 , clause( 185585, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 73.40/73.82 , clause( 185586, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T )
% 73.40/73.82 , 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 73.40/73.82 , clause( 185587, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 73.40/73.82 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 73.40/73.82 Y, Z, X ) ) ] )
% 73.40/73.82 , clause( 185588, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 73.40/73.82 , clause( 185589, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 73.40/73.82 , clause( 185590, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 73.40/73.82 , clause( 185591, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 73.40/73.82 , 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 Z, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, Z, T, U ) ) ] )
% 73.40/73.82 , clause( 185592, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 73.40/73.82 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 73.40/73.82 , clause( 185593, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185594, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.82 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 73.40/73.82 ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185595, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 73.40/73.82 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.40/73.82 , clause( 185596, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 73.40/73.82 , clause( 185597, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 73.40/73.82 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 73.40/73.82 , clause( 185598, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T )
% 73.40/73.82 , Z ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 73.40/73.82 , clause( 185599, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185600, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185601, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 73.40/73.82 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185602, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185603, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z
% 73.40/73.82 , 'tc_bool' ) ), X ) ] )
% 73.40/73.82 , clause( 185604, [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 73.40/73.82 )
% 73.40/73.82 , clause( 185605, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 73.40/73.82 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 73.40/73.82 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 73.40/73.82 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.82 , clause( 185606, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ),
% 73.40/73.82 ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185607, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 73.40/73.82 'c_Set_Oimage'( Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 73.40/73.82 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 73.40/73.82 , clause( 185608, [ =( 'c_Set_Oimage'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 73.40/73.82 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 73.40/73.82 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 73.40/73.82 , clause( 185609, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.82 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.82 ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T
% 73.40/73.82 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185610, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185611, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185612, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.82 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 73.40/73.82 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 73.40/73.82 , clause( 185613, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 73.40/73.82 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 73.40/73.82 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 73.40/73.82 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 73.40/73.82 )
% 73.40/73.82 , clause( 185614, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 73.40/73.82 , 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 73.40/73.82 , clause( 185615, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 73.40/73.82 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T
% 73.40/73.82 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 73.40/73.82 , clause( 185616, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.82 'c_Com_Ocom_OCond'( T, U, W ) ) ) ] )
% 73.40/73.82 , clause( 185617, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.82 ) ] )
% 73.40/73.82 , clause( 185618, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 73.40/73.82 , T ) ) ) ] )
% 73.40/73.82 , clause( 185619, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 73.40/73.82 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 73.40/73.82 , X ) ) ] )
% 73.40/73.82 , clause( 185620, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.82 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185621, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.82 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185622, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.82 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.82 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 73.40/73.82 ) ) ), 'c_in'( Y, Z, T ) ] )
% 73.40/73.82 , clause( 185623, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185624, [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), Z ), 'c_in'( X, Y, Z ) ] )
% 73.40/73.82 , clause( 185625, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' )
% 73.40/73.82 ) ] )
% 73.40/73.82 , clause( 185626, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 73.40/73.82 , clause( 185627, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 73.40/73.82 , clause( 185628, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 73.40/73.82 ) ) ) ] )
% 73.40/73.82 , clause( 185629, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 73.40/73.82 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185630, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 73.40/73.82 ) ] )
% 73.40/73.82 , clause( 185631, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 73.40/73.82 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 73.40/73.82 ] )
% 73.40/73.82 , clause( 185632, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185633, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'(
% 73.40/73.82 Z, T, U ) ) ) ] )
% 73.40/73.82 , clause( 185634, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185635, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 73.40/73.82 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T ) ) ] )
% 73.40/73.82 , clause( 185636, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 73.40/73.82 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 73.40/73.82 , 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185637, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.82 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.82 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 73.40/73.82 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 73.40/73.82 ] )
% 73.40/73.82 , clause( 185638, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 73.40/73.82 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 73.40/73.82 , clause( 185639, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z
% 73.40/73.82 , T ), Y ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 73.40/73.82 , clause( 185640, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 73.40/73.82 , T ) ) ), =( Y, T ) ] )
% 73.40/73.82 , clause( 185641, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 73.40/73.82 , T ) ) ), =( X, Z ) ] )
% 73.40/73.82 , clause( 185642, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 73.40/73.82 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185643, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'(
% 73.40/73.82 Z, T ) ) ) ] )
% 73.40/73.82 , clause( 185644, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 73.40/73.82 Y, Z, X ), ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X
% 73.40/73.82 ) ) ] )
% 73.40/73.82 , clause( 185645, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 73.40/73.82 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.82 , clause( 185646, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 73.40/73.82 X ) ) ] )
% 73.40/73.82 , clause( 185647, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 73.40/73.82 , clause( 185648, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 73.40/73.82 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 73.40/73.82 ) ) ) ] )
% 73.40/73.82 , clause( 185649, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 73.40/73.82 ) ] )
% 73.40/73.82 , clause( 185650, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185651, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 73.40/73.82 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.82 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185652, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 73.40/73.82 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185653, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z
% 73.40/73.82 , T, U ) ) ) ] )
% 73.40/73.82 , clause( 185654, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 73.40/73.82 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 73.40/73.82 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 73.40/73.82 , clause( 185655, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 73.40/73.82 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 73.40/73.82 , clause( 185656, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 73.40/73.82 , clause( 185657, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'(
% 73.40/73.82 Z, T, U ) ) ) ] )
% 73.40/73.82 , clause( 185658, [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y
% 73.40/73.82 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T
% 73.40/73.82 , Z ), T ) ] )
% 73.40/73.82 , clause( 185659, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185660, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 73.40/73.82 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 73.40/73.82 , clause( 185661, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z )
% 73.40/73.82 , 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 73.40/73.82 , clause( 185662, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'(
% 73.40/73.82 T, U ) ) ) ] )
% 73.40/73.82 , clause( 185663, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 73.40/73.82 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 73.40/73.82 , clause( 185664, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 73.40/73.82 , clause( 185665, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ),
% 73.40/73.82 'c_Com_Ocom_OWhile'( T, U ) ) ) ] )
% 73.40/73.82 , clause( 185666, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 73.40/73.82 )
% 73.40/73.82 , clause( 185667, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 73.40/73.82 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 73.40/73.82 , clause( 185668, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ),
% 73.40/73.82 'c_Com_Ocom_OLocal'( T, U, W ) ) ) ] )
% 73.40/73.82 , clause( 185669, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 73.40/73.82 )
% 73.40/73.82 , clause( 185670, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 X ) ) ] )
% 73.40/73.82 , clause( 185671, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 73.40/73.82 , clause( 185672, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185673, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185674, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185675, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185676, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185677, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185678, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 73.40/73.82 U ) ), ~( 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 73.40/73.82 ) ) ] )
% 73.40/73.82 , clause( 185679, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 73.40/73.82 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 73.40/73.82 , Z ) ] )
% 73.40/73.82 , clause( 185680, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 73.40/73.82 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 73.40/73.82 , Z ) ] )
% 73.40/73.82 , clause( 185681, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~(
% 73.40/73.82 'c_in'( Y, T, U ) ) ] )
% 73.40/73.82 , clause( 185682, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.82 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), X ) ) ] )
% 73.40/73.82 , clause( 185683, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185684, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 73.40/73.82 , clause( 185685, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 73.40/73.82 , clause( 185686, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 73.40/73.82 ) ) ] )
% 73.40/73.82 , clause( 185687, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 73.40/73.82 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 73.40/73.82 , clause( 185688, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z )
% 73.40/73.82 ) ) ] )
% 73.40/73.82 , clause( 185689, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 73.40/73.82 , clause( 185690, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 73.40/73.82 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 73.40/73.82 Y, X ) ) ] )
% 73.40/73.82 , clause( 185691, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 73.40/73.82 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 73.40/73.82 Y, Z ) ) ] )
% 73.40/73.82 , clause( 185692, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.82 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ] )
% 73.40/73.82 , clause( 185693, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 73.40/73.82 , clause( 185694, [ ~( =( 'c_Set_Oinsert'( X,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 73.40/73.82 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ), Y ) ) ), =( X, Z ) ] )
% 73.40/73.82 , clause( 185695, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 73.40/73.82 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 73.40/73.82 , clause( 185696, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185697, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185698, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 73.40/73.82 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185699, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 73.40/73.82 ) ) ) ] )
% 73.40/73.82 , clause( 185700, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 73.40/73.82 , clause( 185701, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 73.40/73.82 , clause( 185702, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X
% 73.40/73.82 , Y, Z ) ] )
% 73.40/73.82 , clause( 185703, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 73.40/73.82 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.82 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ),
% 73.40/73.82 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 73.40/73.82 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 73.40/73.82 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185704, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 73.40/73.82 , clause( 185705, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 73.40/73.82 , clause( 185706, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185707, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 73.40/73.82 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 73.40/73.82 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 73.40/73.82 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 73.40/73.82 , clause( 185708, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'(
% 73.40/73.82 X, T, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185709, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~(
% 73.40/73.82 hBOOL( hAPP( Y, T ) ) ) ] )
% 73.40/73.82 , clause( 185710, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z
% 73.40/73.82 , T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ]
% 73.40/73.82 )
% 73.40/73.82 , clause( 185711, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 73.40/73.82 'c_in'( Y, X, T ) ] )
% 73.40/73.82 , clause( 185712, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_in'( T, X, Z ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185713, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 73.40/73.82 'c_in'( Y, X, T ) ] )
% 73.40/73.82 , clause( 185714, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.82 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 73.40/73.82 ), 'c_in'( T, X, Z ) ] )
% 73.40/73.82 , clause( 185715, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 73.40/73.82 , Z ) ) ), 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ] )
% 73.40/73.82 , clause( 185716, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ] )
% 73.40/73.82 , clause( 185717, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ] )
% 73.40/73.82 , clause( 185718, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185719, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185720, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 73.40/73.82 , clause( 185721, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 73.40/73.82 , clause( 185722, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185723, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185724, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185725, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.82 'c_Com_Ocom_OSemi'( T, U ) ) ) ] )
% 73.40/73.82 , clause( 185726, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 73.40/73.82 Y, Z, X ), ~( 'c_in'( Z, 'c_SetInterval_Oord__class_OgreaterThan'( Y, X )
% 73.40/73.82 , X ) ) ] )
% 73.40/73.82 , clause( 185727, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 73.40/73.82 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), X ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 73.40/73.82 , clause( 185728, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 73.40/73.82 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 73.40/73.82 , clause( 185729, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 73.40/73.82 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 73.40/73.82 , clause( 185730, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 73.40/73.82 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 73.40/73.82 , clause( 185731, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 73.40/73.82 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 73.40/73.82 , clause( 185732, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 73.40/73.82 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 73.40/73.82 , clause( 185733, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.40/73.82 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.82 , X ), X ), X ) ) ] )
% 73.40/73.82 , clause( 185734, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.82 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185735, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185736, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 73.40/73.82 , clause( 185737, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 73.40/73.82 , clause( 185738, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'(
% 73.40/73.82 Z, T ) ) ), =( X, Z ) ] )
% 73.40/73.82 , clause( 185739, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'(
% 73.40/73.82 Z, T ) ) ), =( Y, T ) ] )
% 73.40/73.82 , clause( 185740, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185741, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.82 , X ), X ) ) ] )
% 73.40/73.82 , clause( 185742, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.40/73.82 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.82 , X ), X ) ) ] )
% 73.40/73.82 , clause( 185743, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.82 , clause( 185744, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 73.40/73.82 , clause( 185745, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z
% 73.40/73.82 ) ) ] )
% 73.40/73.82 , clause( 185746, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185747, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, U, X
% 73.40/73.82 ), ~( 'c_lessequals'( U, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185748, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185749, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 73.40/73.82 , clause( 185750, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 73.40/73.82 , clause( 185751, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 73.40/73.82 , clause( 185752, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185753, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.82 , X ), X ) ) ] )
% 73.40/73.82 , clause( 185754, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.40/73.82 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.82 , X ), X ) ) ] )
% 73.40/73.82 , clause( 185755, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP'
% 73.40/73.82 ) ) ] )
% 73.40/73.82 , clause( 185756, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 73.40/73.82 ) ) ) ] )
% 73.40/73.82 , clause( 185757, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'(
% 73.40/73.82 Z, T, U ) ) ) ] )
% 73.40/73.82 , clause( 185758, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 73.40/73.82 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 73.40/73.82 , clause( 185759, [ =( 'c_Set_Ovimage'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 73.40/73.82 , 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185760, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 73.40/73.82 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185761, [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 73.40/73.82 Y, Z, T ), T, U ) ) ] )
% 73.40/73.82 , clause( 185762, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'(
% 73.40/73.82 T, U ) ) ) ] )
% 73.40/73.82 , clause( 185763, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.82 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.82 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185764, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.82 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), X ) ) ] )
% 73.40/73.82 , clause( 185765, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 73.40/73.82 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 73.40/73.82 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 73.40/73.82 'c_in'( X, T, Z ) ] )
% 73.40/73.82 , clause( 185766, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 73.40/73.82 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 73.40/73.82 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185767, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), Y ) ) ) ] )
% 73.40/73.82 , clause( 185768, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), Y ) ) ) ] )
% 73.40/73.82 , clause( 185769, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y,
% 73.40/73.82 'c_Set_Oimage'( X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 73.40/73.82 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 73.40/73.82 , clause( 185770, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 73.40/73.82 , 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z, T ) ) ] )
% 73.40/73.82 , clause( 185771, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 73.40/73.82 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z, T ) ) ] )
% 73.40/73.82 , clause( 185772, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 73.40/73.82 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 73.40/73.82 ) ) ) ] )
% 73.40/73.82 , clause( 185773, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 73.40/73.82 ) ] )
% 73.40/73.82 , clause( 185774, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 73.40/73.82 ~( 'c_in'( Z, 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ] )
% 73.40/73.82 , clause( 185775, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z,
% 73.40/73.82 Y, X ) ) ] )
% 73.40/73.82 , clause( 185776, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 73.40/73.82 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 73.40/73.82 , clause( 185777, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z
% 73.40/73.82 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 73.40/73.82 , clause( 185778, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 73.40/73.82 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 73.40/73.82 , clause( 185779, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'(
% 73.40/73.82 T, U ) ) ) ] )
% 73.40/73.82 , clause( 185780, [ =( 'c_Set_Oimage'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 73.40/73.82 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 73.40/73.82 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 73.40/73.82 , clause( 185781, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 73.40/73.82 T, U, W ) ) ), =( Z, W ) ] )
% 73.40/73.82 , clause( 185782, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 73.40/73.82 T, U, W ) ) ), =( Y, U ) ] )
% 73.40/73.82 , clause( 185783, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'(
% 73.40/73.82 T, U, W ) ) ), =( X, T ) ] )
% 73.40/73.82 , clause( 185784, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 73.40/73.82 , clause( 185785, [ 'c_Finite__Set_Ofinite'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 73.40/73.82 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 73.40/73.82 , clause( 185786, [ 'c_Finite__Set_Ofinite'(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 73.40/73.82 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 73.40/73.82 , clause( 185787, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.82 , clause( 185788, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 73.40/73.82 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185789, [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 73.40/73.82 , 'tc_bool' ) ), Y ) ] )
% 73.40/73.82 , clause( 185790, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 73.40/73.82 'c_Option_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 73.40/73.82 , clause( 185791, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ), X ) ] )
% 73.40/73.82 , clause( 185792, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 73.40/73.82 ) ] )
% 73.40/73.82 , clause( 185793, [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, 'tc_fun'(
% 73.40/73.82 Y, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185794, [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ),
% 73.40/73.82 'c_Set_Oimage'( T, Y, Z, U ), U ) ), ~( 'c_Fun_Oinj__on'( T,
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 73.40/73.82 , clause( 185795, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 73.40/73.82 , ~( 'c_in'( Y, Z, T ) ), ~( 'c_Fun_Oinj__on'( X,
% 73.40/73.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 73.40/73.82 , clause( 185796, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z
% 73.40/73.82 , T ) ) ) ] )
% 73.40/73.82 , clause( 185797, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z
% 73.40/73.82 , T, U ) ) ) ] )
% 73.40/73.82 , clause( 185798, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 73.40/73.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.82 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185799, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), T, U ) ), =( Y, Z ) ] )
% 73.40/73.82 , clause( 185800, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 73.40/73.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), Y ) ) ) ] )
% 73.40/73.82 , clause( 185801, [ hBOOL( hAPP(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 73.40/73.82 , clause( 185802, [ hBOOL( hAPP(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 73.40/73.82 , clause( 185803, [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~(
% 73.40/73.82 'c_Fun_Oinj__on'( X, Y, Z, Z ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y
% 73.40/73.82 , Z, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 73.40/73.82 , Z ) ) ] )
% 73.40/73.82 , clause( 185804, [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.82 , clause( 185805, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185806, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185807, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185808, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 73.40/73.82 , clause( 185809, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185810, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 73.40/73.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.82 , clause( 185811, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.82 'c_Com_Ocom_OWhile'( T, U ) ) ) ] )
% 73.40/73.82 , clause( 185812, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 73.40/73.82 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 73.40/73.82 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185813, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 73.40/73.83 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 73.40/73.83 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 73.40/73.83 , clause( 185814, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 73.40/73.83 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 73.40/73.83 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 73.40/73.83 , clause( 185815, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 73.40/73.83 , clause( 185816, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 73.40/73.83 , clause( 185817, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), Y ) ] )
% 73.40/73.83 , clause( 185818, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ), X ) ] )
% 73.40/73.83 , clause( 185819, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 73.40/73.83 ) ) ) ] )
% 73.40/73.83 , clause( 185820, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.83 Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185821, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 73.40/73.83 , X ), X ) ) ] )
% 73.40/73.83 , clause( 185822, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 73.40/73.83 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 73.40/73.83 , clause( 185823, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 73.40/73.83 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 73.40/73.83 Y, X ) ) ] )
% 73.40/73.83 , clause( 185824, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 73.40/73.83 , clause( 185825, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 73.40/73.83 , clause( 185826, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_in'( T, X, Z ), 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X,
% 73.40/73.83 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185827, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.83 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ) ), 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ] )
% 73.40/73.83 , clause( 185828, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z
% 73.40/73.83 , T, U ) ) ) ] )
% 73.40/73.83 , clause( 185829, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 73.40/73.83 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185830, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 185831, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 73.40/73.83 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 73.40/73.83 , clause( 185832, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 185833, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 73.40/73.83 ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ] )
% 73.40/73.83 , clause( 185834, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 73.40/73.83 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 73.40/73.83 , X ) ) ] )
% 73.40/73.83 , clause( 185835, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 73.40/73.83 , clause( 185836, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.83 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185837, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185838, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.83 ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 73.40/73.83 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185839, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.83 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185840, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z
% 73.40/73.83 ) ) ) ] )
% 73.40/73.83 , clause( 185841, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 185842, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 185843, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 73.40/73.83 , clause( 185844, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 73.40/73.83 , clause( 185845, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), Y ) ] )
% 73.40/73.83 , clause( 185846, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ), X ) ] )
% 73.40/73.83 , clause( 185847, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 73.40/73.83 , T ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X
% 73.40/73.83 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185848, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 73.40/73.83 , clause( 185849, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 73.40/73.83 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 73.40/73.83 , clause( 185850, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185851, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 185852, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 73.40/73.83 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185853, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185854, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 73.40/73.83 , clause( 185855, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 73.40/73.83 , clause( 185856, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 73.40/73.83 , clause( 185857, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 73.40/73.83 , clause( 185858, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), Y ) ) ] )
% 73.40/73.83 , clause( 185859, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185860, [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X,
% 73.40/73.83 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ] )
% 73.40/73.83 , clause( 185861, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.83 , X ) ) ), =( Y, Z ) ] )
% 73.40/73.83 , clause( 185862, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.83 , X ) ) ), =( Y, Z ) ] )
% 73.40/73.83 , clause( 185863, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 73.40/73.83 ) ) ) ), =( X, Z ) ] )
% 73.40/73.83 , clause( 185864, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 73.40/73.83 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 73.40/73.83 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 73.40/73.83 , clause( 185865, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 73.40/73.83 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 73.40/73.83 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 73.40/73.83 , clause( 185866, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 73.40/73.83 , clause( 185867, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z
% 73.40/73.83 , T ) ) ) ] )
% 73.40/73.83 , clause( 185868, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 73.40/73.83 ), =( Z, Y ) ] )
% 73.40/73.83 , clause( 185869, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 185870, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 73.40/73.83 ), =( Z, Y ) ] )
% 73.40/73.83 , clause( 185871, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 73.40/73.83 , clause( 185872, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 73.40/73.83 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185873, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.83 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.83 Z, 'tc_bool' ) ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.83 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 185874, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z
% 73.40/73.83 , T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 73.40/73.83 , clause( 185875, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 73.40/73.83 , Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185876, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 73.40/73.83 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 73.40/73.83 , clause( 185877, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 73.40/73.83 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 73.40/73.83 , clause( 185878, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 73.40/73.83 , ~( 'c_in'( Y, Z, T ) ) ] )
% 73.40/73.83 , clause( 185879, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 73.40/73.83 , ~( 'c_in'( Y, Z, T ) ) ] )
% 73.40/73.83 , clause( 185880, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185881, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185882, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185883, [ 'c_lessequals'( X,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185884, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.83 Y, 'tc_bool' ) ), X ) ] )
% 73.40/73.83 , clause( 185885, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 73.40/73.83 ), Y ) ] )
% 73.40/73.83 , clause( 185886, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 73.40/73.83 ), Y ) ] )
% 73.40/73.83 , clause( 185887, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 185888, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 185889, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 73.40/73.83 ), Y ) ] )
% 73.40/73.83 , clause( 185890, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185891, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 185892, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.40/73.83 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185893, [ =( 'c_Set_Ovimage'( X,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 73.40/73.83 , 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185894, [ 'c_Finite__Set_Ofinite'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 73.40/73.83 , clause( 185895, [ 'c_Finite__Set_Ofinite'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 73.40/73.83 , clause( 185896, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 73.40/73.83 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 73.40/73.83 , X ), X ) ) ] )
% 73.40/73.83 , clause( 185897, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 73.40/73.83 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 73.40/73.83 , X ), X ) ) ] )
% 73.40/73.83 , clause( 185898, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 73.40/73.83 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 73.40/73.83 ), Y, X ) ) ] )
% 73.40/73.83 , clause( 185899, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 73.40/73.83 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 73.40/73.83 ), Y, X ) ) ] )
% 73.40/73.83 , clause( 185900, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185901, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 73.40/73.83 , clause( 185902, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 73.40/73.83 Y, Z ) ] )
% 73.40/73.83 , clause( 185903, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 73.40/73.83 , X ) ) ] )
% 73.40/73.83 , clause( 185904, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 73.40/73.83 , X ) ) ] )
% 73.40/73.83 , clause( 185905, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185906, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 73.40/73.83 Z, Y ) ] )
% 73.40/73.83 , clause( 185907, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 73.40/73.83 , X ) ) ] )
% 73.40/73.83 , clause( 185908, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 73.40/73.83 ~( 'c_lessequals'( U, T, X ) ) ] )
% 73.40/73.83 , clause( 185909, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 73.40/73.83 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185910, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 185911, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 73.40/73.83 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 185912, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 73.40/73.83 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 73.40/73.83 , clause( 185913, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 73.40/73.83 , clause( 185914, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 73.40/73.83 , clause( 185915, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 73.40/73.83 , clause( 185916, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 73.40/73.83 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185917, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 73.40/73.83 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 185918, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 73.40/73.83 , clause( 185919, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 73.40/73.83 , clause( 185920, [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( X ), X ) ] )
% 73.40/73.83 , clause( 185921, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.83 Y, X ) ] )
% 73.40/73.83 , clause( 185922, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.83 Z, X ) ] )
% 73.40/73.83 , clause( 185923, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 73.40/73.83 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185924, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 73.40/73.83 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185925, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 73.40/73.83 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185926, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 73.40/73.83 , clause( 185927, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 73.40/73.83 , clause( 185928, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185929, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ] )
% 73.40/73.83 , clause( 185930, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 73.40/73.83 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185931, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185932, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185933, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185934, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 73.40/73.83 , clause( 185935, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 185936, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 73.40/73.83 , X ), X ) ) ] )
% 73.40/73.83 , clause( 185937, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 73.40/73.83 , clause( 185938, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185939, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 73.40/73.83 , clause( 185940, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185941, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 73.40/73.83 , clause( 185942, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185943, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 73.40/73.83 , clause( 185944, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185945, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185946, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ] )
% 73.40/73.83 , clause( 185947, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 73.40/73.83 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 185948, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.83 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185949, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 73.40/73.83 ), X ) ] )
% 73.40/73.83 , clause( 185950, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 73.40/73.83 ), X ) ] )
% 73.40/73.83 , clause( 185951, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.83 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185952, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.83 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185953, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 73.40/73.83 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 73.40/73.83 , clause( 185954, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 73.40/73.83 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 73.40/73.83 , clause( 185955, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 73.40/73.83 , clause( 185956, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 73.40/73.83 , clause( 185957, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.83 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 185958, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 73.40/73.83 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 73.40/73.83 , clause( 185959, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 73.40/73.83 , clause( 185960, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 73.40/73.83 , clause( 185961, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 73.40/73.83 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 73.40/73.83 , clause( 185962, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 73.40/73.83 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 73.40/73.83 , clause( 185963, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 73.40/73.83 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 73.40/73.83 , clause( 185964, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 73.40/73.83 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 73.40/73.83 , clause( 185965, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 73.40/73.83 'tc_fun'( T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X )
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 185966, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 73.40/73.83 Y, Z, 'tc_fun'( T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ) ) ] )
% 73.40/73.83 , clause( 185967, [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z,
% 73.40/73.83 'tc_fun'( T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X
% 73.40/73.83 ) ) ) ] )
% 73.40/73.83 , clause( 185968, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z
% 73.40/73.83 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185969, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.83 ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 185970, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 73.40/73.83 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 73.40/73.83 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185971, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 73.40/73.83 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 73.40/73.83 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 185972, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 185973, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.83 'c_Com_Ocom_OSKIP' ) ) ] )
% 73.40/73.83 , clause( 185974, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 73.40/73.83 , clause( 185975, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 73.40/73.83 , clause( 185976, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 185977, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 73.40/73.83 , clause( 185978, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ),
% 73.40/73.83 T ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 73.40/73.83 , clause( 185979, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 73.40/73.83 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ) ), 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 185980, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 73.40/73.83 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 73.40/73.83 , clause( 185981, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 73.40/73.83 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 73.40/73.83 , clause( 185982, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 73.40/73.83 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 73.40/73.83 , clause( 185983, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 73.40/73.83 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 73.40/73.83 , clause( 185984, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185985, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 73.40/73.83 , clause( 185986, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 185987, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'(
% 73.40/73.83 'tc_fun'( X, 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 73.40/73.83 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 73.40/73.83 , clause( 185988, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.83 X, 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 73.40/73.83 'c_Finite__Set_Ofinite'( X, Y ) ) ] )
% 73.40/73.83 , clause( 185989, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z
% 73.40/73.83 , T ) ) ) ] )
% 73.40/73.83 , clause( 185990, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ) ] )
% 73.40/73.83 , clause( 185991, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 185992, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 73.40/73.83 , clause( 185993, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.83 Y, 'tc_bool' ) ), Y ) ) ] )
% 73.40/73.83 , clause( 185994, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.83 Y, 'tc_bool' ) ), Y ) ) ] )
% 73.40/73.83 , clause( 185995, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.83 , clause( 185996, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 73.40/73.83 Y, 'tc_bool' ) ), Y ) ) ] )
% 73.40/73.83 , clause( 185997, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 73.40/73.83 , clause( 185998, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.83 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 73.40/73.83 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ] )
% 73.40/73.83 , clause( 185999, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 73.40/73.83 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 186000, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186001, [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X
% 73.40/73.83 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), T ), U, T ), U ) ) ] )
% 73.40/73.83 , clause( 186002, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z,
% 73.40/73.83 T ) ) ), =( Y, T ) ] )
% 73.40/73.83 , clause( 186003, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z,
% 73.40/73.83 T ) ) ), =( X, Z ) ] )
% 73.40/73.83 , clause( 186004, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186005, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 73.40/73.83 , clause( 186006, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 73.40/73.83 , clause( 186007, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186008, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186009, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 73.40/73.83 , clause( 186010, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 73.40/73.83 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 73.40/73.83 ~( 'c_in'( X, T, Z ) ) ] )
% 73.40/73.83 , clause( 186011, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 73.40/73.83 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 73.40/73.83 , clause( 186012, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186013, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186014, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186015, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186016, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.83 'c_Com_Ocom_OLocal'( T, U, W ) ) ), =( Z, W ) ] )
% 73.40/73.83 , clause( 186017, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.83 'c_Com_Ocom_OLocal'( T, U, W ) ) ), =( Y, U ) ] )
% 73.40/73.83 , clause( 186018, [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ),
% 73.40/73.83 'c_Com_Ocom_OLocal'( T, U, W ) ) ), =( X, T ) ] )
% 73.40/73.83 , clause( 186019, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186020, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 73.40/73.83 , 'tc_bool' ) ), Z ) ) ] )
% 73.40/73.83 , clause( 186021, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 73.40/73.83 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 73.40/73.83 , 'tc_bool' ) ), T ) ) ] )
% 73.40/73.83 , clause( 186022, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'(
% 73.40/73.83 Z, T ) ) ) ] )
% 73.40/73.83 , clause( 186023, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 73.40/73.83 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), X ) ] )
% 73.40/73.83 , clause( 186024, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ] )
% 73.40/73.83 , clause( 186025, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ] )
% 73.40/73.83 , clause( 186026, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 73.40/73.83 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 73.40/73.83 , Z ) ) ] )
% 73.40/73.83 , clause( 186027, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 73.40/73.83 , clause( 186028, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 73.40/73.83 , clause( 186029, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 73.40/73.83 , clause( 186030, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186031, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 73.40/73.83 X, Z, T ) ) ] )
% 73.40/73.83 , clause( 186032, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 73.40/73.83 X, Z, T ) ) ] )
% 73.40/73.83 , clause( 186033, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186034, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186035, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.83 T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186036, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ] )
% 73.40/73.83 , clause( 186037, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186038, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.83 Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186039, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 73.40/73.83 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 73.40/73.83 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 73.40/73.83 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 73.40/73.83 , clause( 186040, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 73.40/73.83 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.40/73.83 , clause( 186041, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 73.40/73.83 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 73.40/73.83 , clause( 186042, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 73.40/73.83 , 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X,
% 73.40/73.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 73.40/73.83 , clause( 186043, [ 'c_in'( X, 'c_Set_Oinsert'( X,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ] )
% 73.40/73.83 , clause( 186044, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X
% 73.40/73.83 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186045, [ =( X, 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 73.40/73.83 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186046, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T
% 73.40/73.83 ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 73.40/73.83 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186047, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.83 T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186048, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 73.40/73.83 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 73.40/73.83 Y, X ) ) ] )
% 73.40/73.83 , clause( 186049, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 73.40/73.83 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 73.40/73.83 , clause( 186050, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 73.40/73.83 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 73.40/73.83 , clause( 186051, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 73.40/73.83 Y, Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 73.40/73.83 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 73.40/73.83 , clause( 186052, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 73.40/73.83 X, Y, T ) ) ] )
% 73.40/73.83 , clause( 186053, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 73.40/73.83 X, Y, T ) ) ] )
% 73.40/73.83 , clause( 186054, [ hBOOL( hAPP(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 186055, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.40/73.83 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 73.40/73.83 , X ), X ), X ) ) ] )
% 73.40/73.83 , clause( 186056, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 73.40/73.83 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186057, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.40/73.83 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 73.40/73.83 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 73.40/73.83 , clause( 186058, [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 186059, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186060, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z
% 73.40/73.83 , X, Y, T ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ),
% 73.40/73.83 T ) ) ] )
% 73.40/73.83 , clause( 186061, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186062, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 73.40/73.83 , X ) ) ] )
% 73.40/73.83 , clause( 186063, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186064, [ =( 'c_Set_Oimage'( X,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 73.40/73.83 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186065, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186066, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.40/73.83 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 73.40/73.83 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 73.40/73.83 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186067, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186068, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.40/73.83 Y, X ) ) ] )
% 73.40/73.83 , clause( 186069, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.40/73.83 Y, X ) ) ] )
% 73.40/73.83 , clause( 186070, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.40/73.83 Y, X ) ) ] )
% 73.40/73.83 , clause( 186071, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.40/73.83 Y, X ) ) ] )
% 73.40/73.83 , clause( 186072, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 73.40/73.83 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186073, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.40/73.83 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 73.40/73.83 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 73.40/73.83 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186074, [ 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 73.40/73.83 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 73.40/73.83 , 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186075, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 73.40/73.83 Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 186076, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.83 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 73.40/73.83 ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186077, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.83 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186078, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 73.40/73.83 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186079, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 73.40/73.83 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 73.40/73.83 , clause( 186080, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 73.40/73.83 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186081, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z
% 73.40/73.83 , 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 73.40/73.83 , clause( 186082, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 73.40/73.83 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186083, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 73.40/73.83 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186084, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186085, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186086, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 hBOOL( hAPP( Y, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y
% 73.40/73.83 , Z ) ) ) ) ] )
% 73.40/73.83 , clause( 186087, [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'(
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186088, [ 'c_lessequals'( X,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186089, [ 'c_lessequals'( X,
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186090, [ 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186091, [ 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186092, [ 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 73.40/73.83 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 73.40/73.83 , 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186093, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186094, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186095, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 73.40/73.83 Y, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186096, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186097, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186098, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186099, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 73.40/73.83 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186100, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 73.40/73.83 Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186101, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 73.40/73.83 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186102, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 73.40/73.83 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186103, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool'
% 73.40/73.83 ) ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186104, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 73.40/73.83 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 73.40/73.83 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186105, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 73.40/73.83 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 186106, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186107, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186108, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186109, [ 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186110, [ 'c_lessequals'( X,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186111, [ 'c_lessequals'( X,
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186112, [ 'c_lessequals'(
% 73.40/73.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186113, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186114, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 73.40/73.83 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186115, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186116, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 73.40/73.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186117, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 73.40/73.83 hAPP( X, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186118, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 73.40/73.83 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 73.40/73.83 , clause( 186119, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 73.40/73.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 73.40/73.83 Y ), 'tc_bool' ) ), Y ) ] )
% 73.40/73.83 , clause( 186120, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ] )
% 73.40/73.83 , clause( 186121, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y
% 73.40/73.83 , X, Z ) ) ) ] )
% 73.40/73.83 , clause( 186122, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y
% 73.40/73.83 , Z, X ) ) ) ] )
% 73.40/73.83 , clause( 186123, [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~(
% 73.40/73.83 'c_Com_OWT'( Y ) ), ~( 'c_Com_OWT'( X ) ) ] )
% 73.40/73.83 , clause( 186124, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X
% 73.40/73.83 , Y ) ) ) ] )
% 73.40/73.83 , clause( 186125, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y
% 73.40/73.83 , X ) ) ) ] )
% 73.40/73.83 , clause( 186126, [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~(
% 73.40/73.83 'c_Com_OWT'( Z ) ), ~( 'c_Com_OWT'( Y ) ) ] )
% 73.40/73.83 , clause( 186127, [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ] )
% 73.40/73.83 , clause( 186128, [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ] )
% 73.40/73.83 , clause( 186129, [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~(
% 73.40/73.83 'c_Com_OWT'( Y ) ) ] )
% 73.40/73.83 , clause( 186130, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'(
% 73.40/73.83 Y, X ) ) ) ] )
% 73.40/73.83 , clause( 186131, [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~(
% 73.40/73.83 'c_Com_OWT'( Z ) ) ] )
% 73.40/73.83 , clause( 186132, [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'(
% 73.40/73.83 Y, Z, X ) ) ) ] )
% 73.40/73.83 , clause( 186133, [ ~( =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'( Y,
% 73.40/73.83 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ] )
% 73.40/73.83 , clause( 186134, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X
% 73.40/73.83 ), X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 73.40/73.83 , clause( 186135, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 73.40/73.83 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 73.40/73.83 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 73.40/73.83 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 186136, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 73.40/73.83 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 73.40/73.83 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 73.40/73.83 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 73.40/73.83 ) ), X ) ) ] )
% 73.40/73.83 , clause( 186137, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 , ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 186138, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 ) ] )
% 73.40/73.83 , clause( 186139, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ] )
% 73.40/73.83 , clause( 186140, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186141, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186142, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 73.40/73.83 ) ) ] )
% 73.40/73.83 , clause( 186143, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 73.40/73.83 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186144, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 186145, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 73.40/73.83 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 186146, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z
% 73.40/73.83 , X ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186147, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 73.40/73.83 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186148, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 73.40/73.83 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 73.40/73.83 ) ) ) ] )
% 73.40/73.83 , clause( 186149, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186150, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 73.40/73.83 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186151, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 73.40/73.83 , clause( 186152, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 73.40/73.83 , clause( 186153, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 73.40/73.83 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 73.40/73.83 , clause( 186154, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Y, X ) ] )
% 73.40/73.83 , clause( 186155, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Y, X ) ] )
% 73.40/73.83 , clause( 186156, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 73.40/73.83 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186157, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( T, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 73.40/73.83 , clause( 186158, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 73.40/73.83 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 73.40/73.83 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186159, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186160, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186161, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 73.40/73.83 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 186162, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.40/73.83 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 186163, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 73.40/73.83 , clause( 186164, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 73.40/73.83 , clause( 186165, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186166, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.40/73.83 , clause( 186167, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 186168, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 73.40/73.83 )
% 73.40/73.83 , clause( 186169, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 186170, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.83 'tc_bool' ) ) ) ] )
% 73.40/73.83 , clause( 186171, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 73.40/73.83 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 73.40/73.83 , clause( 186172, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 73.40/73.83 , clause( 186173, [ 'c_Com_OWT__bodies' ] )
% 73.40/73.83 , clause( 186174, [ 'c_Com_OWT'( 'v_c' ) ] )
% 73.40/73.83 , clause( 186175, [ 'c_lessequals'( 'v_ts', 'v_G', 'tc_fun'(
% 73.40/73.83 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186176, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_ts',
% 73.40/73.83 'tc_Com_Ostate' ) ) ] )
% 73.40/73.83 , clause( 186177, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 73.40/73.83 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 73.40/73.83 , clause( 186178, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 73.40/73.83 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 73.40/73.83 , clause( 186179, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 73.40/73.83 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 73.40/73.83 , clause( 186180, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 73.40/73.83 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 73.40/73.83 , clause( 186181, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) )
% 73.40/73.83 , ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 73.40/73.83 , clause( 186182, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) )
% 73.40/73.83 , ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 73.40/73.83 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 73.40/73.83 , clause( 186183, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 73.40/73.83 'class_Orderings_Opreorder'( Y ) ) ] )
% 73.40/73.83 , clause( 186184, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 73.40/73.83 'class_Lattices_Olattice'( Y ) ) ] )
% 73.40/73.83 , clause( 186185, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 73.40/73.83 'class_Orderings_Oorder'( Y ) ) ] )
% 73.40/73.83 , clause( 186186, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 73.40/73.83 'class_Orderings_Otop'( Y ) ) ] )
% 73.40/73.83 , clause( 186187, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 73.40/73.83 'class_Orderings_Obot'( Y ) ) ] )
% 73.40/73.83 , clause( 186188, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 73.40/73.83 'class_HOL_Oord'( Y ) ) ] )
% 73.40/73.83 , clause( 186189, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186190, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186191, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186192, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186193, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186194, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186195, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186196, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186197, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 73.40/73.83 , clause( 186198, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186199, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186200, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186201, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186202, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186203, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186204, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186205, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186206, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186207, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186208, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186209, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 73.40/73.83 , clause( 186210, [ 'class_Finite__Set_Ofinite_Ofinite'(
% 73.40/73.83 'tc_Option_Ooption'( X ) ), ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) )
% 73.40/73.83 ] )
% 73.40/73.83 , clause( 186211, [ 'c_fequal'( X, X, Y ) ] )
% 73.40/73.83 , clause( 186212, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 73.40/73.83 ] ).
% 73.40/73.83
% 73.40/73.83
% 73.40/73.83
% 73.40/73.83 subsumption(
% 73.40/73.83 clause( 482, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 73.40/73.83 , clause( 186152, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 73.40/73.83 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 73.40/73.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 73.40/73.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 73.40/73.83
% 73.40/73.83
% 73.40/73.83 subsumption(
% 73.40/73.83 clause( 488, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 73.40/73.83 , clause( 186159, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 73.40/73.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 73.40/73.83 )] ) ).
% 73.40/73.83
% 73.40/73.83
% 73.40/73.83 subsumption(
% 73.40/73.83 clause( 491, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 73.40/73.83 , clause( 186163, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 73.40/73.83 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 73.40/73.83 'c_Hoare__MirabellCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------