TSTP Solution File: SWV837-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV837-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:45 EDT 2022
% Result : Unsatisfiable 16.01s 16.36s
% Output : Refutation 16.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV837-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Thu Jun 16 07:15:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.04/1.43 *** allocated 10000 integers for termspace/termends
% 1.04/1.43 *** allocated 10000 integers for clauses
% 1.04/1.43 *** allocated 10000 integers for justifications
% 1.04/1.43 *** allocated 15000 integers for termspace/termends
% 1.04/1.43 Bliksem 1.12
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 Automatic Strategy Selection
% 1.04/1.43
% 1.04/1.43 Clauses:
% 1.04/1.43 [
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 1.04/1.43 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.43 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 , X ) ],
% 1.04/1.43 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 1.04/1.43 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.04/1.43 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 1.04/1.43 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 1.04/1.43 , U ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.04/1.43 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 1.04/1.43 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.04/1.43 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 1.04/1.43 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.04/1.43 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.04/1.43 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.43 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 1.04/1.43 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.43 ), Z ), 'c_in'( X, Y, Z ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 1.04/1.43 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.04/1.43 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.04/1.43 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 1.04/1.43 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 1.04/1.43 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 1.04/1.43 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP(
% 1.04/1.43 X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 1.04/1.43 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 1.04/1.43 Y, Z, X ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 1.04/1.43 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 1.04/1.43 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 1.04/1.43 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 1.04/1.43 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.04/1.43 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , T, X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.43 , T, X ) ) ), =( Z, T ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 1.04/1.43 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), Y, Z ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 1.04/1.43 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 1.04/1.43 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 1.04/1.43 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.04/1.43 ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 1.04/1.43 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 1.04/1.43 Y, X ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.43 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.04/1.43 Y, Z ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.04/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ) ), 'c_in'( Y, Z, T ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.04/1.43 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 1.04/1.43 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 1.04/1.43 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.04/1.43 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.04/1.43 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T, U ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.04/1.43 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 1.04/1.43 , T ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 1.04/1.43 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 1.04/1.43 , T ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 1.04/1.43 , Z ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.04/1.43 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.04/1.43 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.04/1.43 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.43 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.43 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.04/1.43 'c_in'( Z, 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 1.04/1.43 , Z, U ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 1.04/1.43 , Z, U ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 1.04/1.43 , Z, U ) ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 1.04/1.43 T ), U ) ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 1.04/1.43 T ), U ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ), X ), X ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.04/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.04/1.43 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.04/1.43 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.04/1.43 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.43 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.04/1.43 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 1.04/1.43 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 1.04/1.43 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 1.04/1.43 T ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.04/1.43 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.04/1.43 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.04/1.43 X, T ), Y ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.04/1.43 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.04/1.43 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.43 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Z,
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.43 Y, X ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.04/1.43 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.04/1.43 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 1.04/1.43 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T, U ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.04/1.43 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.04/1.43 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.43 , Y ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 1.04/1.43 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 1.04/1.43 ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.04/1.43 , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 1.04/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.04/1.43 Y, Z ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.04/1.43 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.04/1.43 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), Y ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), Y ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.43 X, 'tc_bool' ) ), Y ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.04/1.43 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 1.04/1.43 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 1.04/1.43 Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 1.04/1.43 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 1.04/1.43 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.04/1.43 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 1.04/1.43 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 1.04/1.43 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Y,
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), Y ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'(
% 1.04/1.43 T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 1.04/1.43 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.04/1.43 , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.43 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.43 X, 'tc_bool' ) ), Y ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.43 , Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.43 , Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.04/1.43 ), Y ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.43 Y, X ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.04/1.43 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 1.04/1.43 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 1.04/1.43 Y, Z, T ), T, U ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.43 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.04/1.43 'c_in'( X, T, Z ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 1.04/1.43 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.04/1.43 , Z ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.43 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.04/1.43 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 1.04/1.43 , U ), U ) ],
% 1.04/1.43 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 1.04/1.43 , U ), U ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.04/1.43 , Z, T ) ) ],
% 1.04/1.43 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.04/1.43 , Z, T ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 1.04/1.43 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.43 ), Y ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.43 ), Y ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.43 ), Y ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.43 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.04/1.43 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.04/1.43 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.04/1.43 ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.04/1.43 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 T, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.04/1.43 Y, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 T, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.04/1.43 Y, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.04/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.04/1.43 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.43 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.04/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.04/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.04/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.04/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 1.04/1.43 , Z ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.04/1.43 Z ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 1.04/1.43 ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 1.04/1.43 ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.04/1.43 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.04/1.43 ), =( Z, Y ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.04/1.43 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.04/1.43 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.43 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.43 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.43 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.04/1.43 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.43 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.04/1.43 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 1.04/1.43 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.04/1.43 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.04/1.43 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.04/1.43 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.43 ), Y ) ) ],
% 1.04/1.43 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.43 ), Y ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.43 ), Y ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.04/1.43 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.04/1.43 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.04/1.43 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 1.04/1.43 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ), U, T ), U ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 1.04/1.43 , T, Z ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 1.04/1.43 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.04/1.43 'class_Lattices_Oupper__semilattice'( Y ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Z, T ), hAPP( Z, U )
% 1.04/1.43 , Y ), hAPP( Z, 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, X ) )
% 1.04/1.43 , Y ), ~( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), Z ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.43 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 1.04/1.43 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), T ) ) ],
% 1.04/1.43 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.43 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 1.04/1.43 , Z ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 1.04/1.43 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 1.04/1.43 X, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.04/1.43 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.04/1.43 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 1.04/1.43 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 1.04/1.43 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 1.04/1.43 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.04/1.43 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 1.04/1.43 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 1.04/1.43 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 1.04/1.43 Y, X ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.04/1.43 X, T, U ), Z ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.04/1.43 hAPP( X, U ) ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 1.04/1.43 , T ) ) ],
% 1.04/1.43 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.43 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 1.04/1.43 , T ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.04/1.43 hAPP( X, T ) ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ), X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.04/1.43 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.04/1.43 'class_Lattices_Olower__semilattice'( Y ) ), 'c_lessequals'( hAPP( Z,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, X ) ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Z, T ), hAPP( Z, U )
% 1.04/1.43 , Y ), Y ), ~( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ],
% 1.04/1.43 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.04/1.43 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.04/1.43 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 1.04/1.43 ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.43 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.43 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.43 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 T, Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.04/1.43 'c_lessequals'( Z, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 T, Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.04/1.43 , 'c_lessequals'( hAPP( Z, T ), hAPP( Z, U ), Y ), ~( 'c_lessequals'( T,
% 1.04/1.43 U, X ) ), ~( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.04/1.43 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 1.04/1.43 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 1.04/1.43 , Z, 'tc_fun'( T, X ) ) ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 1.04/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 1.04/1.43 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 1.04/1.43 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.04/1.43 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.04/1.43 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.04/1.43 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.04/1.43 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.04/1.43 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 1.04/1.43 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.04/1.43 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.04/1.43 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.04/1.43 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 ), ~( 'c_in'( X, T, Z ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( Y,
% 1.04/1.43 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.04/1.43 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.04/1.43 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.04/1.43 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.04/1.43 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.04/1.43 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.43 ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.43 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.04/1.43 Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.43 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 1.04/1.43 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.04/1.43 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.04/1.43 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 1.04/1.43 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 1.04/1.43 , 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.04/1.43 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.43 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( X,
% 1.04/1.43 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ],
% 1.04/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.43 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.04/1.43 ~( 'c_lessequals'( hAPP( Y,
% 1.04/1.43 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 1.04/1.43 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 1.04/1.43 ],
% 1.04/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.04/1.43 ~( 'c_lessequals'( hAPP( Y,
% 1.04/1.43 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 1.04/1.43 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 1.04/1.43 ) ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.04/1.43 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.43 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 1.04/1.43 ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 1.04/1.43 ) ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.43 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.44 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.44 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.04/1.44 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 1.04/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 1.04/1.44 'tc_bool' ) ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.04/1.44 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 1.04/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 1.04/1.44 'tc_bool' ) ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.04/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 1.04/1.44 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 1.04/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 1.04/1.44 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.04/1.44 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.04/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.04/1.44 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.04/1.44 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.04/1.44 'tc_bool' ) ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.04/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.04/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.04/1.44 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.04/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.04/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.04/1.44 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.04/1.44 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 1.04/1.44 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 1.04/1.44 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.04/1.44 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G_Ha', 'v_tsa', 't_a' ) ],
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_G_Ha', 't_a' ) ],
% 1.04/1.44 [ 'c_lessequals'( 'v_G', 'v_Ga', 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.04/1.44 't_a' ), 'tc_bool' ) ) ],
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_G_Ha', 't_a' ) ],
% 1.04/1.44 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_tsa', 't_a' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_tsa', 't_a' ), ~(
% 1.04/1.44 'c_lessequals'( 'v_G_Ha', X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.04/1.44 't_a' ), 'tc_bool' ) ) ) ],
% 1.04/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.04/1.44 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.04/1.44 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.04/1.44 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.44 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.44 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Orderings_Opreorder'( Y ) ) ],
% 1.04/1.44 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.44 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.44 'class_Orderings_Oorder'( Y ) ) ],
% 1.04/1.44 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.04/1.44 Y ) ) ],
% 1.04/1.44 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.04/1.44 Y ) ) ],
% 1.04/1.44 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.04/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.04/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 2.51/2.88 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 2.51/2.88 [ 'c_fequal'( X, X, Y ) ],
% 2.51/2.88 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 2.51/2.88 ] .
% 2.51/2.88
% 2.51/2.88
% 2.51/2.88 percentage equality = 0.242820, percentage horn = 0.911067
% 2.51/2.88 This is a problem with some equality
% 2.51/2.88
% 2.51/2.88
% 2.51/2.88
% 2.51/2.88 Options Used:
% 2.51/2.88
% 2.51/2.88 useres = 1
% 2.51/2.88 useparamod = 1
% 2.51/2.88 useeqrefl = 1
% 2.51/2.88 useeqfact = 1
% 2.51/2.88 usefactor = 1
% 2.51/2.88 usesimpsplitting = 0
% 2.51/2.88 usesimpdemod = 5
% 2.51/2.88 usesimpres = 3
% 2.51/2.88
% 2.51/2.88 resimpinuse = 1000
% 2.51/2.88 resimpclauses = 20000
% 2.51/2.88 substype = eqrewr
% 2.51/2.88 backwardsubs = 1
% 2.51/2.88 selectoldest = 5
% 2.51/2.88
% 2.51/2.88 litorderings [0] = split
% 2.51/2.88 litorderings [1] = extend the termordering, first sorting on arguments
% 2.51/2.88
% 2.51/2.88 termordering = kbo
% 2.51/2.88
% 2.51/2.88 litapriori = 0
% 2.51/2.88 termapriori = 1
% 2.51/2.88 litaposteriori = 0
% 2.51/2.88 termaposteriori = 0
% 2.51/2.88 demodaposteriori = 0
% 2.51/2.88 ordereqreflfact = 0
% 2.51/2.88
% 2.51/2.88 litselect = negord
% 2.51/2.88
% 2.51/2.88 maxweight = 15
% 2.51/2.88 maxdepth = 30000
% 2.51/2.88 maxlength = 115
% 2.51/2.88 maxnrvars = 195
% 2.51/2.88 excuselevel = 1
% 2.51/2.88 increasemaxweight = 1
% 2.51/2.88
% 2.51/2.88 maxselected = 10000000
% 2.51/2.88 maxnrclauses = 10000000
% 2.51/2.88
% 2.51/2.88 showgenerated = 0
% 2.51/2.88 showkept = 0
% 2.51/2.88 showselected = 0
% 2.51/2.88 showdeleted = 0
% 2.51/2.88 showresimp = 1
% 2.51/2.88 showstatus = 2000
% 2.51/2.88
% 2.51/2.88 prologoutput = 1
% 2.51/2.88 nrgoals = 5000000
% 2.51/2.88 totalproof = 1
% 2.51/2.88
% 2.51/2.88 Symbols occurring in the translation:
% 2.51/2.88
% 2.51/2.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.51/2.88 . [1, 2] (w:1, o:81, a:1, s:1, b:0),
% 2.51/2.88 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 2.51/2.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.51/2.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.51/2.88 'class_Orderings_Opreorder' [40, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.51/2.88 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:114, a:1, s:1, b:0),
% 2.51/2.88 'class_Lattices_Oupper__semilattice' [45, 1] (w:1, o:61, a:1, s:1, b:
% 2.51/2.88 0),
% 2.51/2.88 'c_Lattices_Oupper__semilattice__class_Osup' [46, 3] (w:1, o:115, a:1
% 2.51/2.88 , s:1, b:0),
% 2.51/2.88 'tc_bool' [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 2.51/2.88 'tc_fun' [49, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.51/2.88 'c_Set_Ovimage' [53, 4] (w:1, o:127, a:1, s:1, b:0),
% 2.51/2.88 'c_Finite__Set_Ofinite' [54, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.51/2.88 'c_Orderings_Otop__class_Otop' [55, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.51/2.88 'c_Fun_Oinj__on' [56, 4] (w:1, o:128, a:1, s:1, b:0),
% 2.51/2.88 'class_Lattices_Odistrib__lattice' [57, 1] (w:1, o:63, a:1, s:1, b:0)
% 2.51/2.88 ,
% 2.51/2.88 'c_Lattices_Olower__semilattice__class_Oinf' [58, 3] (w:1, o:116, a:1
% 2.51/2.88 , s:1, b:0),
% 2.51/2.88 'c_Orderings_Obot__class_Obot' [61, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.51/2.88 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:117, a:1, s:1, b:0),
% 2.51/2.88 'c_Set_Oinsert' [65, 3] (w:1, o:118, a:1, s:1, b:0),
% 2.51/2.88 'c_in' [66, 3] (w:1, o:119, a:1, s:1, b:0),
% 2.51/2.88 'class_Orderings_Olinorder' [67, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.51/2.88 'c_SetInterval_Oord__class_OatLeastLessThan' [70, 3] (w:1, o:120, a:1
% 2.51/2.88 , s:1, b:0),
% 2.51/2.88 'c_SetInterval_Oord__class_OatLeastAtMost' [71, 3] (w:1, o:121, a:1
% 2.51/2.88 , s:1, b:0),
% 2.51/2.88 'c_lessequals' [72, 3] (w:1, o:122, a:1, s:1, b:0),
% 2.51/2.88 hAPP [74, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.51/2.88 'c_Set_Oimage' [75, 4] (w:1, o:129, a:1, s:1, b:0),
% 2.51/2.88 'class_Orderings_Oorder' [76, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.51/2.88 'c_SetInterval_Oord__class_OatLeast' [79, 2] (w:1, o:109, a:1, s:1
% 2.51/2.88 , b:0),
% 2.51/2.88 'c_HOL_Ouminus__class_Ouminus' [80, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.51/2.88 'c_SetInterval_Oord__class_OlessThan' [81, 2] (w:1, o:111, a:1, s:1
% 2.51/2.88 , b:0),
% 2.51/2.88 'class_Lattices_Oboolean__algebra' [83, 1] (w:1, o:66, a:1, s:1, b:0)
% 2.51/2.88 ,
% 2.51/2.88 'c_SetInterval_Oord__class_OgreaterThan' [84, 2] (w:1, o:112, a:1, s:
% 2.51/2.88 1, b:0),
% 2.51/2.88 hBOOL [86, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.51/2.88 'class_OrderedGroup_Oab__group__add' [88, 1] (w:1, o:68, a:1, s:1, b:
% 2.51/2.88 0),
% 2.51/2.88 'class_Lattices_Olattice' [91, 1] (w:1, o:69, a:1, s:1, b:0),
% 14.53/14.87 'c_SetInterval_Oord__class_OatMost' [93, 2] (w:1, o:113, a:1, s:1, b:
% 14.53/14.87 0),
% 14.53/14.87 'class_Lattices_Olower__semilattice' [94, 1] (w:1, o:70, a:1, s:1, b:
% 14.53/14.87 0),
% 14.53/14.87 'class_Lattices_Obounded__lattice' [96, 1] (w:1, o:71, a:1, s:1, b:0)
% 14.53/14.87 ,
% 14.53/14.87 'class_HOL_Oord' [97, 1] (w:1, o:72, a:1, s:1, b:0),
% 14.53/14.87 'class_OrderedGroup_Olordered__ab__group__add' [99, 1] (w:1, o:73, a:
% 14.53/14.87 1, s:1, b:0),
% 14.53/14.87 'class_OrderedGroup_Opordered__ab__group__add' [103, 1] (w:1, o:74
% 14.53/14.87 , a:1, s:1, b:0),
% 14.53/14.87 'class_Finite__Set_Ofinite_Ofinite' [104, 1] (w:1, o:75, a:1, s:1, b:
% 14.53/14.87 0),
% 14.53/14.87 'class_OrderedGroup_Ogroup__add' [105, 1] (w:1, o:76, a:1, s:1, b:0)
% 14.53/14.87 ,
% 14.53/14.87 'class_Orderings_Otop' [106, 1] (w:1, o:77, a:1, s:1, b:0),
% 14.53/14.87 'class_Orderings_Obot' [107, 1] (w:1, o:78, a:1, s:1, b:0),
% 14.53/14.87 'class_Ring__and__Field_Oordered__idom' [108, 1] (w:1, o:79, a:1, s:1
% 14.53/14.87 , b:0),
% 14.53/14.87 'c_Orderings_Oorder__class_Omono' [109, 3] (w:1, o:123, a:1, s:1, b:0
% 14.53/14.87 ),
% 14.53/14.87 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1' [114, 3] (w:1, o:
% 14.53/14.87 124, a:1, s:1, b:0),
% 14.53/14.87 'tc_Hoare__Mirabelle_Otriple' [115, 1] (w:1, o:80, a:1, s:1, b:0),
% 14.53/14.87 'c_Hoare__Mirabelle_Ohoare__derivs' [116, 3] (w:1, o:125, a:1, s:1
% 14.53/14.87 , b:0),
% 14.53/14.87 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [117, 4] (w:1, o:130
% 14.53/14.87 , a:1, s:1, b:0),
% 14.53/14.87 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [118, 4] (w:1
% 14.53/14.87 , o:131, a:1, s:1, b:0),
% 14.53/14.87 'v_G_Ha' [122, 0] (w:1, o:45, a:1, s:1, b:0),
% 14.53/14.87 'v_tsa' [123, 0] (w:1, o:46, a:1, s:1, b:0),
% 14.53/14.87 't_a' [124, 0] (w:1, o:47, a:1, s:1, b:0),
% 14.53/14.87 'v_G' [125, 0] (w:1, o:48, a:1, s:1, b:0),
% 14.53/14.87 'v_Ga' [126, 0] (w:1, o:49, a:1, s:1, b:0),
% 14.53/14.87 'c_fequal' [129, 3] (w:1, o:126, a:1, s:1, b:0).
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Starting Search:
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 4628
% 14.53/14.87 Kept: 2066
% 14.53/14.87 Inuse: 167
% 14.53/14.87 Deleted: 4
% 14.53/14.87 Deletedinuse: 0
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 11529
% 14.53/14.87 Kept: 4067
% 14.53/14.87 Inuse: 306
% 14.53/14.87 Deleted: 12
% 14.53/14.87 Deletedinuse: 7
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 24159
% 14.53/14.87 Kept: 6262
% 14.53/14.87 Inuse: 394
% 14.53/14.87 Deleted: 18
% 14.53/14.87 Deletedinuse: 11
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 33855
% 14.53/14.87 Kept: 8319
% 14.53/14.87 Inuse: 474
% 14.53/14.87 Deleted: 23
% 14.53/14.87 Deletedinuse: 11
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 41931
% 14.53/14.87 Kept: 10319
% 14.53/14.87 Inuse: 509
% 14.53/14.87 Deleted: 24
% 14.53/14.87 Deletedinuse: 12
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 51938
% 14.53/14.87 Kept: 12331
% 14.53/14.87 Inuse: 619
% 14.53/14.87 Deleted: 36
% 14.53/14.87 Deletedinuse: 19
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 68071
% 14.53/14.87 Kept: 15127
% 14.53/14.87 Inuse: 677
% 14.53/14.87 Deleted: 52
% 14.53/14.87 Deletedinuse: 28
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 80146
% 14.53/14.87 Kept: 17182
% 14.53/14.87 Inuse: 714
% 14.53/14.87 Deleted: 56
% 14.53/14.87 Deletedinuse: 29
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 93205
% 14.53/14.87 Kept: 19317
% 14.53/14.87 Inuse: 766
% 14.53/14.87 Deleted: 82
% 14.53/14.87 Deletedinuse: 37
% 14.53/14.87
% 14.53/14.87 Resimplifying clauses:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 107281
% 14.53/14.87 Kept: 21351
% 14.53/14.87 Inuse: 848
% 14.53/14.87 Deleted: 462
% 14.53/14.87 Deletedinuse: 38
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 119615
% 14.53/14.87 Kept: 23428
% 14.53/14.87 Inuse: 873
% 14.53/14.87 Deleted: 464
% 14.53/14.87 Deletedinuse: 40
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 130285
% 14.53/14.87 Kept: 25430
% 14.53/14.87 Inuse: 908
% 14.53/14.87 Deleted: 465
% 14.53/14.87 Deletedinuse: 40
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 143680
% 14.53/14.87 Kept: 27442
% 14.53/14.87 Inuse: 981
% 14.53/14.87 Deleted: 478
% 14.53/14.87 Deletedinuse: 48
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87 Resimplifying inuse:
% 14.53/14.87 Done
% 14.53/14.87
% 14.53/14.87
% 14.53/14.87 Intermediate Status:
% 14.53/14.87 Generated: 152835
% 14.53/14.87 Kept: 29531
% 14.53/14.87 Inuse: 1047
% 14.53/14.87 Deleted: 479
% 16.01/16.36 Deletedinuse: 49
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 162733
% 16.01/16.36 Kept: 31540
% 16.01/16.36 Inuse: 1117
% 16.01/16.36 Deleted: 481
% 16.01/16.36 Deletedinuse: 51
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 178371
% 16.01/16.36 Kept: 34711
% 16.01/16.36 Inuse: 1127
% 16.01/16.36 Deleted: 481
% 16.01/16.36 Deletedinuse: 51
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 184118
% 16.01/16.36 Kept: 36722
% 16.01/16.36 Inuse: 1139
% 16.01/16.36 Deleted: 483
% 16.01/16.36 Deletedinuse: 51
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 195505
% 16.01/16.36 Kept: 39180
% 16.01/16.36 Inuse: 1171
% 16.01/16.36 Deleted: 486
% 16.01/16.36 Deletedinuse: 52
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 205217
% 16.01/16.36 Kept: 41320
% 16.01/16.36 Inuse: 1192
% 16.01/16.36 Deleted: 486
% 16.01/16.36 Deletedinuse: 52
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying clauses:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 217224
% 16.01/16.36 Kept: 43860
% 16.01/16.36 Inuse: 1220
% 16.01/16.36 Deleted: 1114
% 16.01/16.36 Deletedinuse: 52
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 232045
% 16.01/16.36 Kept: 45961
% 16.01/16.36 Inuse: 1243
% 16.01/16.36 Deleted: 1114
% 16.01/16.36 Deletedinuse: 52
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 251920
% 16.01/16.36 Kept: 48200
% 16.01/16.36 Inuse: 1253
% 16.01/16.36 Deleted: 1115
% 16.01/16.36 Deletedinuse: 53
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 276085
% 16.01/16.36 Kept: 50316
% 16.01/16.36 Inuse: 1278
% 16.01/16.36 Deleted: 1115
% 16.01/16.36 Deletedinuse: 53
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 323830
% 16.01/16.36 Kept: 55067
% 16.01/16.36 Inuse: 1308
% 16.01/16.36 Deleted: 1116
% 16.01/16.36 Deletedinuse: 54
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 356730
% 16.01/16.36 Kept: 58258
% 16.01/16.36 Inuse: 1313
% 16.01/16.36 Deleted: 1116
% 16.01/16.36 Deletedinuse: 54
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 375252
% 16.01/16.36 Kept: 60373
% 16.01/16.36 Inuse: 1333
% 16.01/16.36 Deleted: 1116
% 16.01/16.36 Deletedinuse: 54
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying clauses:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 391823
% 16.01/16.36 Kept: 62595
% 16.01/16.36 Inuse: 1358
% 16.01/16.36 Deleted: 1257
% 16.01/16.36 Deletedinuse: 54
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 409782
% 16.01/16.36 Kept: 64639
% 16.01/16.36 Inuse: 1398
% 16.01/16.36 Deleted: 1257
% 16.01/16.36 Deletedinuse: 54
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 421453
% 16.01/16.36 Kept: 66816
% 16.01/16.36 Inuse: 1433
% 16.01/16.36 Deleted: 1258
% 16.01/16.36 Deletedinuse: 55
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 445101
% 16.01/16.36 Kept: 69824
% 16.01/16.36 Inuse: 1453
% 16.01/16.36 Deleted: 1260
% 16.01/16.36 Deletedinuse: 57
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 463083
% 16.01/16.36 Kept: 72033
% 16.01/16.36 Inuse: 1463
% 16.01/16.36 Deleted: 1260
% 16.01/16.36 Deletedinuse: 57
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 478841
% 16.01/16.36 Kept: 74037
% 16.01/16.36 Inuse: 1507
% 16.01/16.36 Deleted: 1260
% 16.01/16.36 Deletedinuse: 57
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 493393
% 16.01/16.36 Kept: 76147
% 16.01/16.36 Inuse: 1539
% 16.01/16.36 Deleted: 1264
% 16.01/16.36 Deletedinuse: 57
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 519922
% 16.01/16.36 Kept: 79999
% 16.01/16.36 Inuse: 1589
% 16.01/16.36 Deleted: 1268
% 16.01/16.36 Deletedinuse: 61
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying clauses:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 534617
% 16.01/16.36 Kept: 82141
% 16.01/16.36 Inuse: 1634
% 16.01/16.36 Deleted: 1787
% 16.01/16.36 Deletedinuse: 63
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 563499
% 16.01/16.36 Kept: 85068
% 16.01/16.36 Inuse: 1662
% 16.01/16.36 Deleted: 1798
% 16.01/16.36 Deletedinuse: 67
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 577847
% 16.01/16.36 Kept: 87071
% 16.01/16.36 Inuse: 1696
% 16.01/16.36 Deleted: 1805
% 16.01/16.36 Deletedinuse: 73
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 592008
% 16.01/16.36 Kept: 89081
% 16.01/16.36 Inuse: 1731
% 16.01/16.36 Deleted: 1805
% 16.01/16.36 Deletedinuse: 73
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 602961
% 16.01/16.36 Kept: 91089
% 16.01/16.36 Inuse: 1761
% 16.01/16.36 Deleted: 1808
% 16.01/16.36 Deletedinuse: 76
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 612745
% 16.01/16.36 Kept: 93366
% 16.01/16.36 Inuse: 1784
% 16.01/16.36 Deleted: 1845
% 16.01/16.36 Deletedinuse: 111
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 622457
% 16.01/16.36 Kept: 95548
% 16.01/16.36 Inuse: 1808
% 16.01/16.36 Deleted: 1848
% 16.01/16.36 Deletedinuse: 113
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 632272
% 16.01/16.36 Kept: 97552
% 16.01/16.36 Inuse: 1835
% 16.01/16.36 Deleted: 1848
% 16.01/16.36 Deletedinuse: 113
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Intermediate Status:
% 16.01/16.36 Generated: 657745
% 16.01/16.36 Kept: 100205
% 16.01/16.36 Inuse: 1863
% 16.01/16.36 Deleted: 1848
% 16.01/16.36 Deletedinuse: 113
% 16.01/16.36
% 16.01/16.36 Resimplifying inuse:
% 16.01/16.36 Done
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 Bliksems!, er is een bewijs:
% 16.01/16.36 % SZS status Unsatisfiable
% 16.01/16.36 % SZS output start Refutation
% 16.01/16.36
% 16.01/16.36 clause( 312, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.36 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 449, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 16.01/16.36 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 16.01/16.36 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 454, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G_Ha', 'v_tsa',
% 16.01/16.36 't_a' ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 457, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_G_Ha', 't_a'
% 16.01/16.36 ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 458, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_tsa',
% 16.01/16.36 't_a' ) ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 496, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X
% 16.01/16.36 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 16.01/16.36 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Y, Z ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 497, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 524, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', X, 't_a' ), ~(
% 16.01/16.36 =( X, 'v_G_Ha' ) ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 1793, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', Y, X ), ~( =(
% 16.01/16.36 Y, 'v_G_Ha' ) ), ~( =( X, 't_a' ) ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 99038, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_tsa', 't_a' ),
% 16.01/16.36 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_G_Ha', 't_a' ) ) ] )
% 16.01/16.36 .
% 16.01/16.36 clause( 100296, [] )
% 16.01/16.36 .
% 16.01/16.36
% 16.01/16.36
% 16.01/16.36 % SZS output end Refutation
% 16.01/16.36 found a proof!
% 16.01/16.36
% 16.01/16.36 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 16.01/16.36
% 16.01/16.36 initialclauses(
% 16.01/16.36 [ clause( 100298, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 16.01/16.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 16.01/16.36 , clause( 100299, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 16.01/16.36 , clause( 100300, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 16.01/16.36 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 16.01/16.36 , clause( 100301, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T )
% 16.01/16.36 , Z ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 16.01/16.36 , clause( 100302, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100303, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100304, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100305, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100306, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z
% 16.01/16.36 , 'tc_bool' ) ), X ) ] )
% 16.01/16.36 , clause( 100307, [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100308, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 16.01/16.36 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 16.01/16.36 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 16.01/16.36 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100309, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ),
% 16.01/16.36 ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100310, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 16.01/16.36 'c_Set_Oimage'( Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 16.01/16.36 , clause( 100311, [ =( 'c_Set_Oimage'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 16.01/16.36 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 16.01/16.36 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 16.01/16.36 , clause( 100312, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.36 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.36 ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T
% 16.01/16.36 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100313, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100314, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100315, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.36 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 16.01/16.36 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 16.01/16.36 , clause( 100316, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 16.01/16.36 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 16.01/16.36 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 16.01/16.36 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100317, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 16.01/16.36 , 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 16.01/16.36 , clause( 100318, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 16.01/16.36 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T
% 16.01/16.36 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 16.01/16.36 , clause( 100319, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100320, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 16.01/16.36 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 16.01/16.36 , X ) ) ] )
% 16.01/16.36 , clause( 100321, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100322, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.36 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100323, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.36 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.36 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 16.01/16.36 ) ) ), 'c_in'( Y, Z, T ) ] )
% 16.01/16.36 , clause( 100324, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100325, [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), Z ), 'c_in'( X, Y, Z ) ] )
% 16.01/16.36 , clause( 100326, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 16.01/16.36 , clause( 100327, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 16.01/16.36 , clause( 100328, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 16.01/16.36 ) ) ) ] )
% 16.01/16.36 , clause( 100329, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 16.01/16.36 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100330, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100331, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 16.01/16.36 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 16.01/16.36 ] )
% 16.01/16.36 , clause( 100332, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100333, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100334, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 16.01/16.36 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T ) ) ] )
% 16.01/16.36 , clause( 100335, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 16.01/16.36 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 16.01/16.36 , 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100336, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.36 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.36 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 16.01/16.36 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 16.01/16.36 ] )
% 16.01/16.36 , clause( 100337, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 16.01/16.36 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 16.01/16.36 , clause( 100338, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z
% 16.01/16.36 , T ), Y ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 16.01/16.36 , clause( 100339, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100340, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.36 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 16.01/16.36 ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100341, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100342, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 16.01/16.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 16.01/16.36 , clause( 100343, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 16.01/16.36 , 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 Z, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, Z, T, U ) ) ] )
% 16.01/16.36 , clause( 100344, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 16.01/16.36 , clause( 100345, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 16.01/16.36 , clause( 100346, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 16.01/16.36 , clause( 100347, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 16.01/16.36 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 16.01/16.36 Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100348, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T )
% 16.01/16.36 , 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 16.01/16.36 , clause( 100349, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 16.01/16.36 , clause( 100350, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 16.01/16.36 , clause( 100351, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 16.01/16.36 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 16.01/16.36 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), T, U ) ] )
% 16.01/16.36 , clause( 100352, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 16.01/16.36 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 16.01/16.36 , clause( 100353, [ =( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100354, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100355, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.36 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 16.01/16.36 , clause( 100356, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 16.01/16.36 , T, X ) ) ), =( Y, Z ) ] )
% 16.01/16.36 , clause( 100357, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 16.01/16.36 , T, X ) ) ), =( Z, T ) ] )
% 16.01/16.36 , clause( 100358, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100359, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100360, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 16.01/16.36 , clause( 100361, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 16.01/16.36 , clause( 100362, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 16.01/16.36 , clause( 100363, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100364, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100365, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100366, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100367, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100368, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100369, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100370, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100371, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 16.01/16.36 U ) ), ~( 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 16.01/16.36 ) ) ] )
% 16.01/16.36 , clause( 100372, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 16.01/16.36 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 16.01/16.36 , Z ) ] )
% 16.01/16.36 , clause( 100373, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 16.01/16.36 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 16.01/16.36 , Z ) ] )
% 16.01/16.36 , clause( 100374, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~(
% 16.01/16.36 'c_in'( Y, T, U ) ) ] )
% 16.01/16.36 , clause( 100375, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), X ) ) ] )
% 16.01/16.36 , clause( 100376, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100377, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100378, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100379, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 16.01/16.36 ) ) ] )
% 16.01/16.36 , clause( 100380, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 16.01/16.36 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 16.01/16.36 , clause( 100381, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 16.01/16.36 , clause( 100382, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 16.01/16.36 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 16.01/16.36 Y, X ) ) ] )
% 16.01/16.36 , clause( 100383, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 16.01/16.36 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 16.01/16.36 Y, Z ) ) ] )
% 16.01/16.36 , clause( 100384, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.36 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ] )
% 16.01/16.36 , clause( 100385, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 16.01/16.36 , clause( 100386, [ ~( =( 'c_Set_Oinsert'( X,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 16.01/16.36 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), Y ) ) ), =( X, Z ) ] )
% 16.01/16.36 , clause( 100387, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 16.01/16.36 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 16.01/16.36 , clause( 100388, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100389, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100390, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 16.01/16.36 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100391, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 16.01/16.36 ) ) ) ] )
% 16.01/16.36 , clause( 100392, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 16.01/16.36 , clause( 100393, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 16.01/16.36 , clause( 100394, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X
% 16.01/16.36 , Y, Z ) ] )
% 16.01/16.36 , clause( 100395, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 16.01/16.36 , clause( 100396, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 16.01/16.36 , clause( 100397, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100398, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 16.01/16.36 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 16.01/16.36 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 16.01/16.36 , clause( 100399, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'(
% 16.01/16.36 X, T, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100400, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~(
% 16.01/16.36 hBOOL( hAPP( Y, T ) ) ) ] )
% 16.01/16.36 , clause( 100401, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z
% 16.01/16.36 , T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100402, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 16.01/16.36 'c_in'( Y, X, T ) ] )
% 16.01/16.36 , clause( 100403, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_in'( T, X, Z ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100404, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 16.01/16.36 'c_in'( Y, X, T ) ] )
% 16.01/16.36 , clause( 100405, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.36 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 16.01/16.36 ), 'c_in'( T, X, Z ) ] )
% 16.01/16.36 , clause( 100406, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 16.01/16.36 , Z ) ) ), 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ] )
% 16.01/16.36 , clause( 100407, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ] )
% 16.01/16.36 , clause( 100408, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ] )
% 16.01/16.36 , clause( 100409, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100410, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100411, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 16.01/16.36 , clause( 100412, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 16.01/16.36 , clause( 100413, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100414, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100415, [ =( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100416, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 Y, Z, X ), ~( 'c_in'( Z, 'c_SetInterval_Oord__class_OgreaterThan'( Y, X )
% 16.01/16.36 , X ) ) ] )
% 16.01/16.36 , clause( 100417, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 16.01/16.36 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), X ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100418, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 16.01/16.36 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 16.01/16.36 , clause( 100419, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 16.01/16.36 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 16.01/16.36 , clause( 100420, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 16.01/16.36 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 16.01/16.36 , clause( 100421, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 16.01/16.36 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 16.01/16.36 , clause( 100422, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 16.01/16.36 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 16.01/16.36 , clause( 100423, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 16.01/16.36 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.36 , X ), X ), X ) ) ] )
% 16.01/16.36 , clause( 100424, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.36 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100425, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100426, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100427, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100428, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100429, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.36 , X ), X ) ) ] )
% 16.01/16.36 , clause( 100430, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 16.01/16.36 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.36 , X ), X ) ) ] )
% 16.01/16.36 , clause( 100431, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100432, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 16.01/16.36 , clause( 100433, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z
% 16.01/16.36 ) ) ] )
% 16.01/16.36 , clause( 100434, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100435, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, U, X
% 16.01/16.36 ), ~( 'c_lessequals'( U, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100436, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100437, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100438, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100439, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 16.01/16.36 , clause( 100440, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 Y, Z, X ), ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X
% 16.01/16.36 ) ) ] )
% 16.01/16.36 , clause( 100441, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 16.01/16.36 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100442, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 X ) ) ] )
% 16.01/16.36 , clause( 100443, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 16.01/16.36 , clause( 100444, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 16.01/16.36 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 16.01/16.36 ) ) ) ] )
% 16.01/16.36 , clause( 100445, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100446, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100447, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 16.01/16.36 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.36 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100448, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 16.01/16.36 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100449, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 16.01/16.36 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 16.01/16.36 , clause( 100450, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 16.01/16.36 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 16.01/16.36 , clause( 100451, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 16.01/16.36 , clause( 100452, [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y
% 16.01/16.36 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T
% 16.01/16.36 , Z ), T ) ] )
% 16.01/16.36 , clause( 100453, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100454, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 16.01/16.36 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 16.01/16.36 , clause( 100455, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z )
% 16.01/16.36 , 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 16.01/16.36 , clause( 100456, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 16.01/16.36 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 16.01/16.36 , clause( 100457, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 16.01/16.36 , clause( 100458, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100459, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 16.01/16.36 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 16.01/16.36 , clause( 100460, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100461, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 X ) ) ] )
% 16.01/16.36 , clause( 100462, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 16.01/16.36 , clause( 100463, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 16.01/16.36 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 16.01/16.36 ) ) ) ] )
% 16.01/16.36 , clause( 100464, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100465, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 16.01/16.36 ~( 'c_in'( Z, 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ] )
% 16.01/16.36 , clause( 100466, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z,
% 16.01/16.36 Y, X ) ) ] )
% 16.01/16.36 , clause( 100467, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 16.01/16.36 , clause( 100468, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z
% 16.01/16.36 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 16.01/16.36 , clause( 100469, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 16.01/16.36 , clause( 100470, [ =( 'c_Set_Oimage'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 16.01/16.36 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 16.01/16.36 , clause( 100471, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 16.01/16.36 , clause( 100472, [ 'c_Finite__Set_Ofinite'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 16.01/16.36 , clause( 100473, [ 'c_Finite__Set_Ofinite'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 16.01/16.36 , clause( 100474, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.36 , clause( 100475, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100476, [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 16.01/16.36 , 'tc_bool' ) ), Y ) ] )
% 16.01/16.36 , clause( 100477, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), X ) ] )
% 16.01/16.36 , clause( 100478, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100479, [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, 'tc_fun'(
% 16.01/16.36 Y, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100480, [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ),
% 16.01/16.36 'c_Set_Oimage'( T, Y, Z, U ), U ) ), ~( 'c_Fun_Oinj__on'( T,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 16.01/16.36 , clause( 100481, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 16.01/16.36 , ~( 'c_in'( Y, Z, T ) ), ~( 'c_Fun_Oinj__on'( X,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 16.01/16.36 , clause( 100482, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100483, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), T, U ) ), =( Y, Z ) ] )
% 16.01/16.36 , clause( 100484, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 16.01/16.36 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), Y ) ) ) ] )
% 16.01/16.36 , clause( 100485, [ hBOOL( hAPP(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 16.01/16.36 , clause( 100486, [ hBOOL( hAPP(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 16.01/16.36 , clause( 100487, [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~(
% 16.01/16.36 'c_Fun_Oinj__on'( X, Y, Z, Z ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y
% 16.01/16.36 , Z, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 16.01/16.36 , Z ) ) ] )
% 16.01/16.36 , clause( 100488, [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.36 , clause( 100489, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100490, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100491, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100492, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 16.01/16.36 , clause( 100493, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100494, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100495, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 16.01/16.36 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100496, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 16.01/16.36 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 16.01/16.36 , clause( 100497, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 16.01/16.36 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 16.01/16.36 , clause( 100498, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 16.01/16.36 , clause( 100499, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 16.01/16.36 , clause( 100500, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 16.01/16.36 X, 'tc_bool' ) ), Y ) ] )
% 16.01/16.36 , clause( 100501, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), X ) ] )
% 16.01/16.36 , clause( 100502, [ =( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 16.01/16.36 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 16.01/16.36 ) ) ) ] )
% 16.01/16.36 , clause( 100503, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100504, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.36 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 16.01/16.36 , X ), X ) ) ] )
% 16.01/16.36 , clause( 100505, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 16.01/16.36 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 16.01/16.36 , clause( 100506, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 16.01/16.36 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 16.01/16.36 Y, X ) ) ] )
% 16.01/16.36 , clause( 100507, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 16.01/16.36 , clause( 100508, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 16.01/16.36 , clause( 100509, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_in'( T, X, Z ), 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X,
% 16.01/16.36 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100510, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.36 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ) ), 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ] )
% 16.01/16.36 , clause( 100511, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 16.01/16.36 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.36 , clause( 100512, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 16.01/16.36 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 16.01/16.36 , clause( 100513, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100514, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 16.01/16.36 ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ] )
% 16.01/16.36 , clause( 100515, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 16.01/16.36 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 16.01/16.36 , X ) ) ] )
% 16.01/16.36 , clause( 100516, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 16.01/16.36 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 16.01/16.36 , clause( 100517, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100518, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100519, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.36 ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 16.01/16.36 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100520, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.36 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100521, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 ) ) ] )
% 16.01/16.36 , clause( 100522, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 16.01/16.36 ) ) ] )
% 16.01/16.36 , clause( 100523, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 16.01/16.36 , clause( 100524, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 16.01/16.36 , clause( 100525, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 16.01/16.36 X, 'tc_bool' ) ), Y ) ] )
% 16.01/16.36 , clause( 100526, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ), X ) ] )
% 16.01/16.36 , clause( 100527, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 16.01/16.36 , T ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X
% 16.01/16.36 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 16.01/16.36 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100528, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 16.01/16.36 , clause( 100529, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 16.01/16.36 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 16.01/16.36 , clause( 100530, [ =( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100531, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 ) ] )
% 16.01/16.36 , clause( 100532, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100533, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100534, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 16.01/16.36 , clause( 100535, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 16.01/16.36 , clause( 100536, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 16.01/16.36 , clause( 100537, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 16.01/16.36 , clause( 100538, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 16.01/16.36 X, 'tc_bool' ) ), Y ) ) ] )
% 16.01/16.36 , clause( 100539, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 16.01/16.36 , clause( 100540, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100541, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.36 , X ), X ) ) ] )
% 16.01/16.36 , clause( 100542, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 16.01/16.36 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.36 , X ), X ) ) ] )
% 16.01/16.36 , clause( 100543, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 16.01/16.36 ) ) ) ] )
% 16.01/16.36 , clause( 100544, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 16.01/16.36 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 16.01/16.36 , clause( 100545, [ =( 'c_Set_Ovimage'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.36 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 16.01/16.36 , 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100546, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 16.01/16.36 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100547, [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 16.01/16.36 Y, Z, T ), T, U ) ) ] )
% 16.01/16.36 , clause( 100548, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100549, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.36 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ), X ) ) ] )
% 16.01/16.36 , clause( 100550, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 16.01/16.36 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 16.01/16.36 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 16.01/16.36 'c_in'( X, T, Z ) ] )
% 16.01/16.36 , clause( 100551, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 16.01/16.36 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.36 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 16.01/16.36 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100552, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), Y ) ) ) ] )
% 16.01/16.36 , clause( 100553, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 16.01/16.36 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 16.01/16.36 'tc_bool' ) ), Y ) ) ) ] )
% 16.01/16.36 , clause( 100554, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y,
% 16.01/16.36 'c_Set_Oimage'( X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 16.01/16.36 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 16.01/16.36 , clause( 100555, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 16.01/16.36 , 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z, T ) ) ] )
% 16.01/16.36 , clause( 100556, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 16.01/16.36 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z, T ) ) ] )
% 16.01/16.36 , clause( 100557, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 16.01/16.36 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100558, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.36 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.36 Z, 'tc_bool' ) ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.36 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.36 , clause( 100559, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z
% 16.01/16.36 , T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 16.01/16.36 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 16.01/16.36 , clause( 100560, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 16.01/16.36 , Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.36 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 16.01/16.36 )
% 16.01/16.36 , clause( 100561, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 16.01/16.36 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 16.01/16.36 , clause( 100562, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 16.01/16.36 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 16.01/16.36 , clause( 100563, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 16.01/16.36 , ~( 'c_in'( Y, Z, T ) ) ] )
% 16.01/16.36 , clause( 100564, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 16.01/16.36 , ~( 'c_in'( Y, Z, T ) ) ] )
% 16.01/16.36 , clause( 100565, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.36 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100566, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.36 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 16.01/16.36 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 16.01/16.36 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100567, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.36 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 16.01/16.36 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.36 , clause( 100568, [ 'c_lessequals'( X,
% 16.01/16.36 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100569, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.37 Y, 'tc_bool' ) ), X ) ] )
% 16.01/16.37 , clause( 100570, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 16.01/16.37 ), Y ) ] )
% 16.01/16.37 , clause( 100571, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 16.01/16.37 ), Y ) ] )
% 16.01/16.37 , clause( 100572, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 16.01/16.37 ) ) ] )
% 16.01/16.37 , clause( 100573, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 16.01/16.37 ) ) ] )
% 16.01/16.37 , clause( 100574, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 16.01/16.37 ), Y ) ] )
% 16.01/16.37 , clause( 100575, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100576, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100577, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 16.01/16.37 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100578, [ =( 'c_Set_Ovimage'( X,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 16.01/16.37 , 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100579, [ 'c_Finite__Set_Ofinite'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 16.01/16.37 , clause( 100580, [ 'c_Finite__Set_Ofinite'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 16.01/16.37 , clause( 100581, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 16.01/16.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 16.01/16.37 , X ), X ) ) ] )
% 16.01/16.37 , clause( 100582, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 16.01/16.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 16.01/16.37 , X ), X ) ) ] )
% 16.01/16.37 , clause( 100583, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 16.01/16.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 16.01/16.37 ), Y, X ) ) ] )
% 16.01/16.37 , clause( 100584, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 16.01/16.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 16.01/16.37 ), Y, X ) ) ] )
% 16.01/16.37 , clause( 100585, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100586, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 16.01/16.37 , clause( 100587, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 16.01/16.37 Y, Z ) ] )
% 16.01/16.37 , clause( 100588, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 16.01/16.37 , X ) ) ] )
% 16.01/16.37 , clause( 100589, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 16.01/16.37 , X ) ) ] )
% 16.01/16.37 , clause( 100590, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100591, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 16.01/16.37 Z, Y ) ] )
% 16.01/16.37 , clause( 100592, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 16.01/16.37 , X ) ) ] )
% 16.01/16.37 , clause( 100593, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 16.01/16.37 ~( 'c_lessequals'( U, T, X ) ) ] )
% 16.01/16.37 , clause( 100594, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 16.01/16.37 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100595, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100596, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 16.01/16.37 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100597, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 16.01/16.37 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 16.01/16.37 , clause( 100598, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 16.01/16.37 , clause( 100599, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 16.01/16.37 , clause( 100600, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 16.01/16.37 , clause( 100601, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 16.01/16.37 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100602, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 16.01/16.37 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100603, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 16.01/16.37 , clause( 100604, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 16.01/16.37 , clause( 100605, [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 'c_Orderings_Otop__class_Otop'( X ), X ) ] )
% 16.01/16.37 , clause( 100606, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.37 Y, X ) ] )
% 16.01/16.37 , clause( 100607, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.37 Z, X ) ] )
% 16.01/16.37 , clause( 100608, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 16.01/16.37 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100609, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 16.01/16.37 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100610, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 16.01/16.37 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100611, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 16.01/16.37 , clause( 100612, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 16.01/16.37 , clause( 100613, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100614, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ] )
% 16.01/16.37 , clause( 100615, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 16.01/16.37 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100616, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100617, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100618, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100619, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 16.01/16.37 , clause( 100620, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100621, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 16.01/16.37 , X ), X ) ) ] )
% 16.01/16.37 , clause( 100622, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 16.01/16.37 , clause( 100623, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100624, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 16.01/16.37 , clause( 100625, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100626, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 16.01/16.37 , clause( 100627, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100628, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 16.01/16.37 , clause( 100629, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100630, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100631, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ] )
% 16.01/16.37 , clause( 100632, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 16.01/16.37 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100633, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100634, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 16.01/16.37 ), X ) ] )
% 16.01/16.37 , clause( 100635, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 16.01/16.37 ), X ) ] )
% 16.01/16.37 , clause( 100636, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100637, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100638, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 16.01/16.37 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 16.01/16.37 , clause( 100639, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 16.01/16.37 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 16.01/16.37 , clause( 100640, [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X,
% 16.01/16.37 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ] )
% 16.01/16.37 , clause( 100641, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.37 , X ) ) ), =( Y, Z ) ] )
% 16.01/16.37 , clause( 100642, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.37 , X ) ) ), =( Y, Z ) ] )
% 16.01/16.37 , clause( 100643, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 16.01/16.37 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 16.01/16.37 ) ) ) ), =( X, Z ) ] )
% 16.01/16.37 , clause( 100644, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 16.01/16.37 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 16.01/16.37 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 16.01/16.37 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 16.01/16.37 , clause( 100645, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 16.01/16.37 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 16.01/16.37 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 16.01/16.37 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 16.01/16.37 , clause( 100646, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 16.01/16.37 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 16.01/16.37 , clause( 100647, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 16.01/16.37 ), =( Z, Y ) ] )
% 16.01/16.37 , clause( 100648, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100649, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 16.01/16.37 ), =( Z, Y ) ] )
% 16.01/16.37 , clause( 100650, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 16.01/16.37 , clause( 100651, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100652, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 16.01/16.37 , clause( 100653, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 16.01/16.37 , clause( 100654, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100655, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 16.01/16.37 , clause( 100656, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ),
% 16.01/16.37 T ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 16.01/16.37 , clause( 100657, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 16.01/16.37 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ) ), 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100658, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 16.01/16.37 , clause( 100659, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 16.01/16.37 , clause( 100660, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 16.01/16.37 , clause( 100661, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 16.01/16.37 , clause( 100662, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100663, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 16.01/16.37 , clause( 100664, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'(
% 16.01/16.37 'tc_fun'( X, 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 16.01/16.37 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 16.01/16.37 , clause( 100665, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.37 X, 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 16.01/16.37 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 16.01/16.37 'c_Finite__Set_Ofinite'( X, Y ) ) ] )
% 16.01/16.37 , clause( 100666, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ) ] )
% 16.01/16.37 , clause( 100667, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100668, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 16.01/16.37 , clause( 100669, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.37 Y, 'tc_bool' ) ), Y ) ) ] )
% 16.01/16.37 , clause( 100670, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.37 Y, 'tc_bool' ) ), Y ) ) ] )
% 16.01/16.37 , clause( 100671, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.37 , clause( 100672, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 16.01/16.37 Y, 'tc_bool' ) ), Y ) ) ] )
% 16.01/16.37 , clause( 100673, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.37 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 16.01/16.37 , clause( 100674, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.37 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 16.01/16.37 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ] )
% 16.01/16.37 , clause( 100675, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 16.01/16.37 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100676, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.37 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 16.01/16.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100677, [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X
% 16.01/16.37 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), T ), U, T ), U ) ) ] )
% 16.01/16.37 , clause( 100678, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 16.01/16.37 , clause( 100679, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 16.01/16.37 , clause( 100680, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100681, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100682, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 16.01/16.37 , clause( 100683, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 16.01/16.37 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 16.01/16.37 ~( 'c_in'( X, T, Z ) ) ] )
% 16.01/16.37 , clause( 100684, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 16.01/16.37 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 16.01/16.37 , clause( 100685, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100686, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100687, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100688, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100689, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 16.01/16.37 'class_Lattices_Oupper__semilattice'( Y ) ), 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Z, T ), hAPP( Z, U )
% 16.01/16.37 , Y ), hAPP( Z, 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, X ) )
% 16.01/16.37 , Y ), ~( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ] )
% 16.01/16.37 , clause( 100690, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100691, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.37 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 16.01/16.37 , 'tc_bool' ) ), Z ) ) ] )
% 16.01/16.37 , clause( 100692, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.37 X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 16.01/16.37 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 16.01/16.37 , 'tc_bool' ) ), T ) ) ] )
% 16.01/16.37 , clause( 100693, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 16.01/16.37 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), X ) ] )
% 16.01/16.37 , clause( 100694, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ] )
% 16.01/16.37 , clause( 100695, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ] )
% 16.01/16.37 , clause( 100696, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 16.01/16.37 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 16.01/16.37 , Z ) ) ] )
% 16.01/16.37 , clause( 100697, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 16.01/16.37 , clause( 100698, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 16.01/16.37 , clause( 100699, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 16.01/16.37 , clause( 100700, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100701, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 16.01/16.37 X, Z, T ) ) ] )
% 16.01/16.37 , clause( 100702, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 16.01/16.37 X, Z, T ) ) ] )
% 16.01/16.37 , clause( 100703, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100704, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100705, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.37 T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100706, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ] )
% 16.01/16.37 , clause( 100707, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100708, [ =( 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.37 Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100709, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 16.01/16.37 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.37 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 16.01/16.37 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 16.01/16.37 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 16.01/16.37 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 16.01/16.37 , clause( 100710, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 16.01/16.37 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100711, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 16.01/16.37 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 16.01/16.37 , clause( 100712, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 16.01/16.37 , 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X,
% 16.01/16.37 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 16.01/16.37 , clause( 100713, [ 'c_in'( X, 'c_Set_Oinsert'( X,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ] )
% 16.01/16.37 , clause( 100714, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 16.01/16.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X
% 16.01/16.37 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100715, [ =( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 16.01/16.37 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100716, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T
% 16.01/16.37 ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 16.01/16.37 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100717, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.37 T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100718, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 16.01/16.37 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 16.01/16.37 Y, X ) ) ] )
% 16.01/16.37 , clause( 100719, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 16.01/16.37 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 16.01/16.37 , clause( 100720, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 16.01/16.37 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 16.01/16.37 , clause( 100721, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 16.01/16.37 X, Y, T ) ) ] )
% 16.01/16.37 , clause( 100722, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 16.01/16.37 X, Y, T ) ) ] )
% 16.01/16.37 , clause( 100723, [ hBOOL( hAPP(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 16.01/16.37 ) ) ] )
% 16.01/16.37 , clause( 100724, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 16.01/16.37 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 16.01/16.37 , X ), X ), X ) ) ] )
% 16.01/16.37 , clause( 100725, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 16.01/16.37 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100726, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 16.01/16.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 16.01/16.37 , clause( 100727, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100728, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z
% 16.01/16.37 , X, Y, T ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ),
% 16.01/16.37 T ) ) ] )
% 16.01/16.37 , clause( 100729, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100730, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 16.01/16.37 , X ) ) ] )
% 16.01/16.37 , clause( 100731, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100732, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 16.01/16.37 'class_Lattices_Olower__semilattice'( Y ) ), 'c_lessequals'( hAPP( Z,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, X ) ),
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Z, T ), hAPP( Z, U )
% 16.01/16.37 , Y ), Y ), ~( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ] )
% 16.01/16.37 , clause( 100733, [ =( 'c_Set_Oimage'( X,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 16.01/16.37 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100734, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100735, [ ~( 'class_Orderings_Oorder'( X ) ),
% 16.01/16.37 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 16.01/16.37 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 16.01/16.37 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100736, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 16.01/16.37 Y, X ) ) ] )
% 16.01/16.37 , clause( 100737, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 16.01/16.37 Y, X ) ) ] )
% 16.01/16.37 , clause( 100738, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 16.01/16.37 Y, X ) ) ] )
% 16.01/16.37 , clause( 100739, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 16.01/16.37 Y, X ) ) ] )
% 16.01/16.37 , clause( 100740, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 16.01/16.37 , clause( 100741, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 16.01/16.37 , clause( 100742, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.37 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 16.01/16.37 , clause( 100743, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 16.01/16.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 16.01/16.37 , clause( 100744, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 16.01/16.37 , clause( 100745, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 16.01/16.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 16.01/16.37 , clause( 100746, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 16.01/16.37 'class_Orderings_Oorder'( Y ) ), 'c_lessequals'( hAPP( Z, T ), hAPP( Z, U
% 16.01/16.37 ), Y ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 16.01/16.37 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ] )
% 16.01/16.37 , clause( 100747, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 16.01/16.37 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 16.01/16.37 , clause( 100748, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 16.01/16.37 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 16.01/16.37 , clause( 100749, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 16.01/16.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 16.01/16.37 , clause( 100750, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 16.01/16.37 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 16.01/16.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 16.01/16.37 , clause( 100751, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 16.01/16.37 'tc_fun'( T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X )
% 16.01/16.37 ) ) ] )
% 16.01/16.37 , clause( 100752, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 16.01/16.37 Y, Z, 'tc_fun'( T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ) ) ] )
% 16.01/16.37 , clause( 100753, [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z,
% 16.01/16.37 'tc_fun'( T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X
% 16.01/16.37 ) ) ) ] )
% 16.01/16.37 , clause( 100754, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z
% 16.01/16.37 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100755, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.37 ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100756, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 16.01/16.37 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 16.01/16.37 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100757, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 16.01/16.37 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 16.01/16.37 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100758, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 16.01/16.37 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100759, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 16.01/16.37 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 16.01/16.37 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 16.01/16.37 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100760, [ 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 16.01/16.37 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 16.01/16.37 , 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100761, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 16.01/16.37 Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100762, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.37 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 16.01/16.37 ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100763, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.37 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100764, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 16.01/16.37 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100765, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 16.01/16.37 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 16.01/16.37 , clause( 100766, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 16.01/16.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100767, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z
% 16.01/16.37 , 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 16.01/16.37 , clause( 100768, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 16.01/16.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100769, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 16.01/16.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100770, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100771, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100772, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 hBOOL( hAPP( Y, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y
% 16.01/16.37 , Z ) ) ) ) ] )
% 16.01/16.37 , clause( 100773, [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'(
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100774, [ 'c_lessequals'( X,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100775, [ 'c_lessequals'( X,
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100776, [ 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100777, [ 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100778, [ 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 16.01/16.37 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 16.01/16.37 , 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100779, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100780, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 16.01/16.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100781, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 16.01/16.37 Y, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100782, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100783, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100784, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100785, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 16.01/16.37 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100786, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 16.01/16.37 Z, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100787, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100788, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 16.01/16.37 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100789, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool'
% 16.01/16.37 ) ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100790, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 16.01/16.37 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 16.01/16.37 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100791, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 16.01/16.37 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100792, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100793, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100794, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100795, [ 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100796, [ 'c_lessequals'( X,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100797, [ 'c_lessequals'( X,
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100798, [ 'c_lessequals'(
% 16.01/16.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100799, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100800, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 16.01/16.37 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100801, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100802, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100803, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 16.01/16.37 hAPP( X, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100804, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 16.01/16.37 Y ), 'tc_bool' ) ), Y ) ] )
% 16.01/16.37 , clause( 100805, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 16.01/16.37 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 16.01/16.37 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 16.01/16.37 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 16.01/16.37 ] )
% 16.01/16.37 , clause( 100806, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 16.01/16.37 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 16.01/16.37 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 16.01/16.37 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 16.01/16.37 ) ), X ) ) ] )
% 16.01/16.37 , clause( 100807, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 , ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100808, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100809, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ] )
% 16.01/16.37 , clause( 100810, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100811, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100812, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 16.01/16.37 ) ) ] )
% 16.01/16.37 , clause( 100813, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 16.01/16.37 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100814, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 16.01/16.37 ] )
% 16.01/16.37 , clause( 100815, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 16.01/16.37 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100816, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z
% 16.01/16.37 , X ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100817, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 16.01/16.37 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100818, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 16.01/16.37 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 16.01/16.37 ) ) ) ] )
% 16.01/16.37 , clause( 100819, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100820, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 16.01/16.37 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100821, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 16.01/16.37 , clause( 100822, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 16.01/16.37 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 16.01/16.37 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 16.01/16.37 , clause( 100823, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 16.01/16.37 , clause( 100824, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Y, X ) ] )
% 16.01/16.37 , clause( 100825, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Y, X ) ] )
% 16.01/16.37 , clause( 100826, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 16.01/16.37 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100827, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 16.01/16.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 16.01/16.37 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100828, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100829, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100830, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 16.01/16.37 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 16.01/16.37 ] )
% 16.01/16.37 , clause( 100831, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 16.01/16.37 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100832, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 16.01/16.37 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 16.01/16.37 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 16.01/16.37 , clause( 100833, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 16.01/16.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 16.01/16.37 , clause( 100834, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 16.01/16.37 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100835, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 16.01/16.37 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 16.01/16.37 , clause( 100836, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100837, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 16.01/16.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 16.01/16.37 )
% 16.01/16.37 , clause( 100838, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 16.01/16.37 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 16.01/16.37 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100839, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 16.01/16.37 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 16.01/16.37 , clause( 100840, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G_Ha', 'v_tsa'
% 16.01/16.37 , 't_a' ) ] )
% 16.01/16.37 , clause( 100841, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_G_Ha',
% 16.01/16.37 't_a' ) ] )
% 16.01/16.37 , clause( 100842, [ 'c_lessequals'( 'v_G', 'v_Ga', 'tc_fun'(
% 16.01/16.37 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 16.01/16.37 , clause( 100843, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_G_Ha',
% 16.01/16.37 't_a' ) ] )
% 16.01/16.37 , clause( 100844, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_tsa'
% 16.01/16.37 , 't_a' ) ) ] )
% 16.01/16.37 , clause( 100845, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'v_tsa', 't_a'
% 16.01/16.37 ), ~( 'c_lessequals'( 'v_G_Ha', X, 'tc_fun'(
% 16.01/16.37 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ) ] )
% 16.01/16.37 , clause( 100846, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 16.01/16.37 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 16.01/16.37 , clause( 100847, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 16.01/16.37 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 16.01/16.37 , clause( 100848, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 16.01/16.37 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 16.01/16.37 , clause( 100849, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 16.01/16.37 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 16.01/16.37 , clause( 100850, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) )
% 16.01/16.37 , ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 16.01/16.37 , clause( 100851, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) )
% 16.01/16.37 , ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 16.01/16.37 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 16.01/16.37 , clause( 100852, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 16.01/16.37 'class_Orderings_Opreorder'( Y ) ) ] )
% 16.01/16.37 , clause( 100853, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 16.01/16.37 'class_Lattices_Olattice'( Y ) ) ] )
% 16.01/16.37 , clause( 100854, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 16.01/16.37 'class_Orderings_Oorder'( Y ) ) ] )
% 16.01/16.37 , clause( 100855, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 16.01/16.37 'class_Orderings_Otop'( Y ) ) ] )
% 16.01/16.37 , clause( 100856, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 16.01/16.37 'class_Orderings_Obot'( Y ) ) ] )
% 16.01/16.37 , clause( 100857, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 16.01/16.37 'class_HOL_Oord'( Y ) ) ] )
% 16.01/16.37 , clause( 100858, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100859, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100860, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100861, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100862, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100863, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100864, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100865, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100866, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100867, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100868, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100869, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 16.01/16.37 , clause( 100870, [ 'c_fequal'( X, X, Y ) ] )
% 16.01/16.37 , clause( 100871, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 16.01/16.37 ] ).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 subsumption(
% 16.01/16.37 clause( 312, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 16.01/16.37 , clause( 100660, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 16.01/16.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 16.01/16.37 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 16.01/16.37 ).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 subsumption(
% 16.01/16.37 clause( 449, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 16.01/16.37 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 16.01/16.37 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 16.01/16.37 , clause( 100832, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 16.01/16.37 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 16.01/16.37 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 16.01/16.37 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 16.01/16.37 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 subsumption(
% 16.01/16.37 clause( 454, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G_Ha', 'v_tsa',
% 16.01/16.37 't_a' ) ] )
% 16.01/16.37 , clause( 100840, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G_Ha', 'v_tsa'
% 16.01/16.37 , 't_a' ) ] )
% 16.01/16.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 subsumption(
% 16.01/16.37 clause( 457, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_G_Ha', 't_a'
% 16.01/16.37 ) ] )
% 16.01/16.37 , clause( 100843, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_G_Ha',
% 16.01/16.37 't_a' ) ] )
% 16.01/16.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 subsumption(
% 16.01/16.37 clause( 458, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_tsa',
% 16.01/16.37 't_a' ) ) ] )
% 16.01/16.37 , clause( 100844, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_tsa'
% 16.01/16.37 , 't_a' ) ) ] )
% 16.01/16.37 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 eqswap(
% 16.01/16.37 clause( 102703, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( X,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 16.01/16.37 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 16.01/16.37 , clause( 312, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 16.01/16.37 , 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U ),
% 16.01/16.37 :=( U, Y )] )).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 eqswap(
% 16.01/16.37 clause( 102705, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( X,
% 16.01/16.37 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 16.01/16.37 ] )
% 16.01/16.37 , clause( 102703, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( X
% 16.01/16.37 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 16.01/16.37 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 16.01/16.37 , 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T ),
% 16.01/16.37 :=( U, U )] )).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 eqswap(
% 16.01/16.37 clause( 102706, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 16.01/16.37 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 16.01/16.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( U, X ), =( U, Y ) ] )
% 16.01/16.37 , clause( 102705, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( X,
% 16.01/16.37 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 16.01/16.37 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y,
% 16.01/16.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 16.01/16.37 ] )
% 16.01/16.37 , 2, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 16.01/16.37 :=( U, T )] )).
% 16.01/16.37
% 16.01/16.37
% 16.01/16.37 eqfact(
% 16.01/16.37 clause( 102749, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'(
% 16.01/16.37 T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), UCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------