TSTP Solution File: SWV880-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV880-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:00 EDT 2022
% Result : Unsatisfiable 61.69s 62.05s
% Output : Refutation 61.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV880-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 05:41:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.88/1.24 *** allocated 10000 integers for termspace/termends
% 0.88/1.24 *** allocated 10000 integers for clauses
% 0.88/1.24 *** allocated 10000 integers for justifications
% 0.88/1.24 *** allocated 15000 integers for termspace/termends
% 0.88/1.24 Bliksem 1.12
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 Automatic Strategy Selection
% 0.88/1.24
% 0.88/1.24 Clauses:
% 0.88/1.24 [
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 0.88/1.24 , X ) ), T ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 0.88/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.24 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.88/1.24 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 0.88/1.24 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 Z, T, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.24 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.88/1.24 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.24 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 0.88/1.24 Y, Z, X ) ), Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.88/1.24 , X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.88/1.24 , X ), Z, X ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Z ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.88/1.24 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.88/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.88/1.24 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.88/1.24 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.88/1.24 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.88/1.24 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.88/1.24 Y, Z, X, T, U ) ), hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.88/1.24 ) ), ~( =( hAPP( X, hAPP( Z,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 0.88/1.24 ), hAPP( X, hAPP( Z,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.88/1.24 ) ) ), 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Z, Y, T, T ), T, U ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, Y, T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.88/1.24 Y, Z, X, T, U ) ), hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.88/1.24 ) ), ~( =( hAPP( X, hAPP( Z,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 0.88/1.24 ), hAPP( X, hAPP( Z,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.88/1.24 ) ) ), 'c_Fun_Oinj__on'( X, Y, T, U ), ~( 'c_Fun_Oinj__on'( X,
% 0.88/1.24 'c_Set_Oimage'( Z, Y, T, T ), T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T )
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 0.88/1.24 =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y,
% 0.88/1.24 X, T, U ) ), hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 0.88/1.24 ), =( hAPP( X, hAPP( Y,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y, X, T, U ) )
% 0.88/1.24 ), hAPP( X, hAPP( Y,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 0.88/1.24 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), =( hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 0.88/1.24 , hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X
% 0.88/1.24 , Z, T ) ) ), =( hAPP( X, hAPP( U,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 0.88/1.24 ), hAPP( X, hAPP( U,
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ), X, Z ) ) ],
% 0.88/1.24 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.88/1.24 Z, Y, X ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.88/1.24 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.88/1.24 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 0.88/1.24 Z, T, X ) ), X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.88/1.24 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 , T ), X ), Y ) ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 , X ), T ), Y ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.88/1.24 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.24 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~(
% 0.88/1.24 'c_in'( X, Z, Y ) ) ],
% 0.88/1.24 [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~(
% 0.88/1.24 'c_in'( X, Z, Y ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Y ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 , T ), Y ), Z ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 , Y ), T ), Z ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.88/1.24 , Z, U ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.88/1.24 , Z, U ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.88/1.24 , Z, U ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.88/1.24 T ), U ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.88/1.24 T ), U ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.24 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 0.88/1.24 Z, T, X ) ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.24 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Y, U ) ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.88/1.24 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.88/1.24 ), =( Y, W ) ],
% 0.88/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.88/1.24 Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.88/1.24 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24 ) ) ), Y ), Y ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ), Y ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 0.88/1.24 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.24 ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.24 ), =( Z, Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.88/1.24 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.88/1.24 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 0.88/1.24 hAPP( X, T ) ), T ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.88/1.24 X, T, U ), Z ) ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.88/1.24 hAPP( X, U ) ) ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.88/1.24 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.24 , Y ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.24 , Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 0.88/1.24 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ), X ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'(
% 0.88/1.24 X, T, Y ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, T
% 0.88/1.24 , X ) ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 0.88/1.24 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 , T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.88/1.24 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.88/1.24 U, V0 ) ), 'c_in'( Z, T, U ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ) ), 'c_in'( Y, T, X ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), T ) ), 'c_in'( Z, Y, X ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'(
% 0.88/1.24 T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.24 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.88/1.24 , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.88/1.24 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ), Z ), T ), X ) ), ~( 'c_in'( Y, T, X ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.88/1.24 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ), Y ), T ), X ) ), ~( 'c_in'( Z, Y, X ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y, 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( T, hAPP( Y, T ), 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.88/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.88/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), X, Z
% 0.88/1.24 ), ~( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ],
% 0.88/1.24 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 0.88/1.24 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 0.88/1.24 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_in'( U,
% 0.88/1.24 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ],
% 0.88/1.24 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 0.88/1.24 , U ), ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.88/1.24 'c_Set_Oimage'( X, W, T, U ) ), 'c_in'( Y, W, T ) ],
% 0.88/1.24 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 0.88/1.24 , U ), ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.88/1.24 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U ) ), =( hAPP(
% 0.88/1.24 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X ) ), X ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 0.88/1.24 ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.88/1.24 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 0.88/1.24 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( 'c_in'( U, Y, Z ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.88/1.24 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.24 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.88/1.24 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 0.88/1.24 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.88/1.24 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 0.88/1.24 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), X ), ~( 'c_Fun_Oinj__on'( Y, X, Z,
% 0.88/1.24 T ) ) ],
% 0.88/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.88/1.24 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.88/1.24 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.88/1.24 T ) ],
% 0.88/1.24 [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.88/1.24 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), U, T ), U ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.88/1.24 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 0.88/1.24 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.88/1.24 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.88/1.24 Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.24 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 0.88/1.24 T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 0.88/1.24 Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.88/1.24 Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.88/1.24 Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.88/1.24 Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.88/1.24 Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 0.88/1.24 T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 0.88/1.24 Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.24 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.24 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.24 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.24 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.88/1.24 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.88/1.24 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.88/1.24 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Y
% 0.88/1.24 , Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), 'c_lessequals'( Y,
% 0.88/1.24 Z, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Z
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.88/1.24 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.88/1.24 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.88/1.24 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.88/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.88/1.24 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.88/1.24 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.88/1.24 , X, U, Y, W ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.88/1.24 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.88/1.24 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.88/1.24 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.88/1.24 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.88/1.24 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.24 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.88/1.24 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.88/1.24 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.24 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.24 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.88/1.24 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.88/1.24 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_lessequals'( hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.88/1.24 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.88/1.24 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.88/1.24 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.88/1.24 ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.88/1.24 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.88/1.24 ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.88/1.24 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'(
% 0.88/1.24 Y, U, X, Z, T ), Y, Z ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 0.88/1.24 U, T ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 0.88/1.24 , Z ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z
% 0.88/1.24 , 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.88/1.24 U, W, T ), hAPP( Z, 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_in'( Y, U, W ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 0.88/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( X,
% 0.88/1.24 T, Y ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 0.88/1.24 ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.24 , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.88/1.24 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 0.88/1.24 ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ), ~( 'c_Fun_Oinj__on'( X
% 0.88/1.24 , Y, Z, T ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.88/1.24 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ), ~( 'c_Fun_Oinj__on'( X, W,
% 0.88/1.24 T, U ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 0.88/1.24 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ), Y
% 0.88/1.24 , Z ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 0.88/1.24 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T
% 0.88/1.24 , U ), Z, T ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 0.88/1.24 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ), Y
% 0.88/1.24 , Z ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 0.88/1.24 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y, X, T
% 0.88/1.24 , U ), Z, T ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.88/1.24 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.88/1.24 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 0.88/1.24 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.88/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.88/1.24 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 0.88/1.24 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( 'c_lessequals'( U, X,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.24 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.88/1.24 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.24 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.24 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 0.88/1.24 Z ), ~( 'c_lessequals'( U, 'c_Set_Oimage'( Y, X, Z, T ), 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.88/1.24 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.88/1.24 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T, U ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 0.88/1.24 ), 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 0.88/1.24 Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 0.88/1.24 ), 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 0.88/1.24 Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.88/1.24 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.88/1.24 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( 'c_in'(
% 0.88/1.24 T, Z, W ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.24 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.88/1.24 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), 'c_in'( Z, Y, T ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.88/1.24 ), ~( 'c_in'( T, Z, W ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Y,
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.88/1.24 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.88/1.24 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.88/1.24 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U ), W, Z ), ~(
% 0.88/1.24 'c_lessequals'( X, W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( U,
% 0.88/1.24 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 0.88/1.24 ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.88/1.24 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 0.88/1.24 ), ~( 'c_lessequals'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 0.88/1.24 Z, X ), Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 0.88/1.24 ), ~( 'c_lessequals'( Z,
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 0.88/1.24 Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.88/1.24 'c_Orderings_Oord__class_Omax'( Y, 'c_Finite__Set_Olinorder__class_OMax'(
% 0.88/1.24 Z, X ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.88/1.24 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ),
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), =( Z,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.88/1.24 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.88/1.24 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), 'c_in'( T, Z, U ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.88/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.88/1.24 'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ) ), 'c_in'( Y, Z, T ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.88/1.24 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_in'(
% 0.88/1.24 Y, W, T ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.88/1.24 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.88/1.24 X, T ), T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Set_Oinsert'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.88/1.24 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.88/1.24 X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.88/1.24 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.88/1.24 Y, T ), X ) ), ~( 'c_in'( T, Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.88/1.24 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.88/1.24 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( 'c_in'( T
% 0.88/1.24 , Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.88/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.88/1.24 , Z ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ), =( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ), =( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( 'c_in'( Z, Y, X
% 0.88/1.24 ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 'c_in'( Y, Z, X )
% 0.88/1.24 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.88/1.24 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.24 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.88/1.24 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.88/1.24 Y, Z ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.88/1.24 , 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.24 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), T ) ) ],
% 0.88/1.24 [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 0.88/1.24 Y, Z, T ), T, U ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP(
% 0.88/1.24 X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 0.88/1.24 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.88/1.24 'c_in'( X, T, Z ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.88/1.24 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.88/1.24 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.88/1.24 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.88/1.24 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.24 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.88/1.24 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.24 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.88/1.24 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Y, Z ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.88/1.24 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.88/1.24 ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.88/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.88/1.24 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.88/1.24 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.88/1.24 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.88/1.24 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.88/1.24 [ 'c_lessequals'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.88/1.24 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.88/1.24 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.88/1.24 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 0.88/1.24 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.88/1.24 [ =( X, 'c_Set_Oimage'( Y,
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 0.88/1.24 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 0.88/1.24 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 0.88/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.88/1.24 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.88/1.24 , Z ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.88/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.88/1.24 ), Z, T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' )
% 0.88/1.24 ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.88/1.24 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.88/1.24 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.88/1.24 'c_in'( U, T, Z ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.24 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.88/1.24 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.88/1.24 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.24 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.24 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.24 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.24 Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.88/1.24 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.88/1.24 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.88/1.24 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.24 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.88/1.24 , T, Z ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.88/1.24 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.24 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.24 ), Y ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.24 ), Y ) ) ],
% 0.88/1.24 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.24 ), Y ) ) ],
% 0.88/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.24 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.24 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.24 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.24 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.24 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.24 , Z ) ) ],
% 0.88/1.24 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24 ) ), Y ) ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.24 'tc_bool' ) ), X ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.88/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.88/1.24 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.88/1.24 X, T ), Y ) ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.88/1.24 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.24 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.88/1.24 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.88/1.24 , U ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.88/1.24 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.24 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.24 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.24 'tc_bool' ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.24 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.24 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.88/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.88/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.88/1.24 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.88/1.24 , T ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.88/1.24 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.88/1.24 , T ) ],
% 0.88/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.24 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.88/1.24 , Z ) ],
% 0.88/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.88/1.24 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.88/1.24 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.88/1.24 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.24 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24 ) ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.88/1.24 Y, X ) ],
% 0.88/1.24 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.24 , U ), U ) ],
% 0.88/1.24 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.24 , U ), U ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.24 , Z, T ) ) ],
% 0.88/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.24 , Z, T ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.24 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.24 [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ],
% 0.88/1.24 [ =( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a'
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ],
% 0.88/1.24 [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP( 'v_mgt__call', 'v_pn' ),
% 0.88/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 0.88/1.24 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a' ), 'tc_fun'(
% 0.88/1.24 't_a', 'tc_bool' ) ) ) ],
% 0.88/1.24 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.88/1.24 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.88/1.24 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.24 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.88/1.24 Y ) ) ],
% 0.88/1.24 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.88/1.24 Y ) ) ],
% 0.88/1.24 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.24 [ 'c_fequal'( X, X, Y ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.88/1.24 ] .
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 percentage equality = 0.211429, percentage horn = 0.849765
% 0.88/1.24 This is a problem with some equality
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 Options Used:
% 0.88/1.24
% 0.88/1.24 useres = 1
% 0.88/1.24 useparamod = 1
% 0.88/1.24 useeqrefl = 1
% 0.88/1.24 useeqfact = 1
% 0.88/1.24 usefactor = 1
% 0.88/1.24 usesimpsplitting = 0
% 0.88/1.24 usesimpdemod = 5
% 0.88/1.24 usesimpres = 3
% 0.88/1.24
% 0.88/1.24 resimpinuse = 1000
% 0.88/1.24 resimpclauses = 20000
% 0.88/1.24 substype = eqrewr
% 0.88/1.24 backwardsubs = 1
% 0.88/1.24 selectoldest = 5
% 0.88/1.24
% 0.88/1.24 litorderings [0] = split
% 0.88/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.24
% 0.88/1.24 termordering = kbo
% 0.88/1.24
% 0.88/1.24 litapriori = 0
% 0.88/1.24 termapriori = 1
% 0.88/1.24 litaposteriori = 0
% 0.88/1.24 termaposteriori = 0
% 0.88/1.24 demodaposteriori = 0
% 0.88/1.24 ordereqreflfact = 0
% 0.88/1.24
% 0.88/1.24 litselect = negord
% 0.88/1.24
% 0.88/1.24 maxweight = 15
% 0.88/1.24 maxdepth = 30000
% 0.88/1.24 maxlength = 115
% 0.88/1.24 maxnrvars = 195
% 0.88/1.24 excuselevel = 1
% 0.88/1.24 increasemaxweight = 1
% 0.88/1.24
% 0.88/1.24 maxselected = 10000000
% 0.88/1.24 maxnrclauses = 10000000
% 0.88/1.24
% 0.88/1.24 showgenerated = 0
% 0.88/1.24 showkept = 0
% 0.88/1.24 showselected = 0
% 0.88/1.24 showdeleted = 0
% 0.88/1.24 showresimp = 1
% 0.88/1.24 showstatus = 2000
% 0.88/1.24
% 0.88/1.24 prologoutput = 1
% 0.88/1.24 nrgoals = 5000000
% 0.88/1.24 totalproof = 1
% 0.88/1.24
% 0.88/1.24 Symbols occurring in the translation:
% 0.88/1.24
% 0.88/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.24 . [1, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.88/1.24 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 0.88/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.51/4.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.51/4.93 'class_Orderings_Olinorder' [40, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.51/4.93 'c_Orderings_Oord__class_Omin' [41, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.51/4.93 'c_Orderings_Oord__class_Omax' [44, 3] (w:1, o:110, a:1, s:1, b:0),
% 4.51/4.93 hAPP [45, 2] (w:1, o:102, a:1, s:1, b:0),
% 4.51/4.93 'class_HOL_Oord' [47, 1] (w:1, o:59, a:1, s:1, b:0),
% 4.51/4.93 'c_SetInterval_Oord__class_OlessThan' [50, 2] (w:1, o:103, a:1, s:1
% 4.51/4.93 , b:0),
% 4.51/4.93 'c_in' [51, 3] (w:1, o:111, a:1, s:1, b:0),
% 4.51/4.93 'c_HOL_Oord__class_Oless' [52, 3] (w:1, o:112, a:1, s:1, b:0),
% 4.51/4.93 'tc_bool' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 4.51/4.93 'tc_fun' [56, 2] (w:1, o:104, a:1, s:1, b:0),
% 4.51/4.93 'c_Orderings_Otop__class_Otop' [57, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.51/4.93 'c_Set_Ovimage' [58, 4] (w:1, o:122, a:1, s:1, b:0),
% 4.51/4.93 'c_Set_Oimage' [60, 4] (w:1, o:123, a:1, s:1, b:0),
% 4.51/4.93 'c_Fun_Oinj__on' [61, 4] (w:1, o:124, a:1, s:1, b:0),
% 4.51/4.93 'c_HOL_Ominus__class_Ominus' [63, 3] (w:1, o:113, a:1, s:1, b:0),
% 4.51/4.93 'class_OrderedGroup_Opordered__ab__group__add' [64, 1] (w:1, o:61, a:
% 4.51/4.93 1, s:1, b:0),
% 4.51/4.93 'c_Finite__Set_Ofinite' [67, 2] (w:1, o:105, a:1, s:1, b:0),
% 4.51/4.93 'class_Orderings_Opreorder' [68, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.51/4.93 'class_Orderings_Oorder' [70, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.51/4.93 'class_Lattices_Olower__semilattice' [71, 1] (w:1, o:64, a:1, s:1, b:
% 4.51/4.93 0),
% 4.51/4.93 'c_Lattices_Olower__semilattice__class_Oinf' [72, 1] (w:1, o:65, a:1
% 4.51/4.93 , s:1, b:0),
% 4.51/4.93 'class_Lattices_Olattice' [75, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1' [77, 5] (w:1
% 4.51/4.93 , o:128, a:1, s:1, b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2' [78, 5] (w:1
% 4.51/4.93 , o:129, a:1, s:1, b:0),
% 4.51/4.93 'c_Fun_Othe__inv__into' [79, 4] (w:1, o:125, a:1, s:1, b:0),
% 4.51/4.93 'c_Finite__Set_Ocard' [80, 2] (w:1, o:106, a:1, s:1, b:0),
% 4.51/4.93 'c_Hilbert__Choice_Oinv__into' [81, 4] (w:1, o:126, a:1, s:1, b:0),
% 4.51/4.93 'c_lessequals' [83, 3] (w:1, o:114, a:1, s:1, b:0),
% 4.51/4.93 hBOOL [84, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.51/4.93 'c_Fun_Ofun__upd' [85, 5] (w:1, o:130, a:1, s:1, b:0),
% 4.51/4.93 'class_Lattices_Obounded__lattice' [89, 1] (w:1, o:68, a:1, s:1, b:0)
% 4.51/4.93 ,
% 4.51/4.93 'class_Ring__and__Field_Oordered__idom' [90, 1] (w:1, o:69, a:1, s:1
% 4.51/4.93 , b:0),
% 4.51/4.93 'c_COMBK' [92, 3] (w:1, o:115, a:1, s:1, b:0),
% 4.51/4.93 'c_Orderings_Obot__class_Obot' [95, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.51/4.93 'c_Set_Oinsert' [96, 3] (w:1, o:116, a:1, s:1, b:0),
% 4.51/4.93 'c_Finite__Set_Ofold__graph' [97, 6] (w:1, o:134, a:1, s:1, b:0),
% 4.51/4.93 'c_Inductive_Ocomplete__lattice__class_Ogfp' [98, 2] (w:1, o:107, a:1
% 4.51/4.93 , s:1, b:0),
% 4.51/4.93 'class_Complete__Lattice_Ocomplete__lattice' [99, 1] (w:1, o:71, a:1
% 4.51/4.93 , s:1, b:0),
% 4.51/4.93 'class_Orderings_Otop' [100, 1] (w:1, o:72, a:1, s:1, b:0),
% 4.51/4.93 'class_Finite__Set_Ofinite_Ofinite' [101, 1] (w:1, o:73, a:1, s:1, b:
% 4.51/4.93 0),
% 4.51/4.93 'c_Nitpick_Ofold__graph_H' [103, 6] (w:1, o:135, a:1, s:1, b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2' [106, 3
% 4.51/4.93 ] (w:1, o:118, a:1, s:1, b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1' [107, 5] (w:1, o:131
% 4.51/4.93 , a:1, s:1, b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1' [108, 5] (w:1
% 4.51/4.93 , o:132, a:1, s:1, b:0),
% 4.51/4.93 'c_Finite__Set_Olinorder__class_OMax' [110, 2] (w:1, o:108, a:1, s:1
% 4.51/4.93 , b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1' [111
% 4.51/4.93 , 3] (w:1, o:119, a:1, s:1, b:0),
% 4.51/4.93 'c_Finite__Set_Olinorder__class_OMin' [112, 2] (w:1, o:109, a:1, s:1
% 4.51/4.93 , b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1' [113
% 4.51/4.93 , 3] (w:1, o:120, a:1, s:1, b:0),
% 4.51/4.93 'tc_nat' [114, 0] (w:1, o:38, a:1, s:1, b:0),
% 4.51/4.93 'c_Finite__Set_Osetsum' [115, 4] (w:1, o:127, a:1, s:1, b:0),
% 4.51/4.93 'class_OrderedGroup_Oab__group__add' [116, 1] (w:1, o:74, a:1, s:1
% 4.51/4.93 , b:0),
% 4.51/4.93 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1' [117, 3
% 4.51/4.93 ] (w:1, o:117, a:1, s:1, b:0),
% 4.51/4.93 'class_Ring__and__Field_Oring' [118, 1] (w:1, o:75, a:1, s:1, b:0),
% 20.86/21.25 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [121, 5
% 20.86/21.25 ] (w:1, o:133, a:1, s:1, b:0),
% 20.86/21.25 'class_Orderings_Obot' [125, 1] (w:1, o:76, a:1, s:1, b:0),
% 20.86/21.25 'v_U' [126, 0] (w:1, o:43, a:1, s:1, b:0),
% 20.86/21.25 'tc_Com_Opname' [127, 0] (w:1, o:44, a:1, s:1, b:0),
% 20.86/21.25 'v_G' [128, 0] (w:1, o:45, a:1, s:1, b:0),
% 20.86/21.25 'v_mgt__call' [129, 0] (w:1, o:46, a:1, s:1, b:0),
% 20.86/21.25 't_a' [130, 0] (w:1, o:47, a:1, s:1, b:0),
% 20.86/21.25 'v_pn' [131, 0] (w:1, o:48, a:1, s:1, b:0),
% 20.86/21.25 'c_fequal' [134, 3] (w:1, o:121, a:1, s:1, b:0).
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Starting Search:
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 5240
% 20.86/21.25 Kept: 2039
% 20.86/21.25 Inuse: 180
% 20.86/21.25 Deleted: 1
% 20.86/21.25 Deletedinuse: 0
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 11752
% 20.86/21.25 Kept: 4126
% 20.86/21.25 Inuse: 278
% 20.86/21.25 Deleted: 3
% 20.86/21.25 Deletedinuse: 0
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 22033
% 20.86/21.25 Kept: 6130
% 20.86/21.25 Inuse: 344
% 20.86/21.25 Deleted: 4
% 20.86/21.25 Deletedinuse: 0
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 31469
% 20.86/21.25 Kept: 8289
% 20.86/21.25 Inuse: 409
% 20.86/21.25 Deleted: 7
% 20.86/21.25 Deletedinuse: 0
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 44483
% 20.86/21.25 Kept: 10830
% 20.86/21.25 Inuse: 483
% 20.86/21.25 Deleted: 49
% 20.86/21.25 Deletedinuse: 36
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 51989
% 20.86/21.25 Kept: 12906
% 20.86/21.25 Inuse: 544
% 20.86/21.25 Deleted: 53
% 20.86/21.25 Deletedinuse: 36
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 63387
% 20.86/21.25 Kept: 14908
% 20.86/21.25 Inuse: 614
% 20.86/21.25 Deleted: 57
% 20.86/21.25 Deletedinuse: 37
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 75569
% 20.86/21.25 Kept: 17247
% 20.86/21.25 Inuse: 669
% 20.86/21.25 Deleted: 59
% 20.86/21.25 Deletedinuse: 37
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 86864
% 20.86/21.25 Kept: 19271
% 20.86/21.25 Inuse: 763
% 20.86/21.25 Deleted: 61
% 20.86/21.25 Deletedinuse: 38
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying clauses:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 97663
% 20.86/21.25 Kept: 21276
% 20.86/21.25 Inuse: 835
% 20.86/21.25 Deleted: 590
% 20.86/21.25 Deletedinuse: 38
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 110027
% 20.86/21.25 Kept: 23287
% 20.86/21.25 Inuse: 879
% 20.86/21.25 Deleted: 590
% 20.86/21.25 Deletedinuse: 38
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 116961
% 20.86/21.25 Kept: 25295
% 20.86/21.25 Inuse: 901
% 20.86/21.25 Deleted: 591
% 20.86/21.25 Deletedinuse: 39
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 128480
% 20.86/21.25 Kept: 27324
% 20.86/21.25 Inuse: 927
% 20.86/21.25 Deleted: 591
% 20.86/21.25 Deletedinuse: 39
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 136523
% 20.86/21.25 Kept: 29438
% 20.86/21.25 Inuse: 947
% 20.86/21.25 Deleted: 591
% 20.86/21.25 Deletedinuse: 39
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 149725
% 20.86/21.25 Kept: 31493
% 20.86/21.25 Inuse: 977
% 20.86/21.25 Deleted: 591
% 20.86/21.25 Deletedinuse: 39
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 167235
% 20.86/21.25 Kept: 33536
% 20.86/21.25 Inuse: 1022
% 20.86/21.25 Deleted: 626
% 20.86/21.25 Deletedinuse: 64
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 173397
% 20.86/21.25 Kept: 35644
% 20.86/21.25 Inuse: 1039
% 20.86/21.25 Deleted: 660
% 20.86/21.25 Deletedinuse: 65
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 179347
% 20.86/21.25 Kept: 37820
% 20.86/21.25 Inuse: 1048
% 20.86/21.25 Deleted: 690
% 20.86/21.25 Deletedinuse: 65
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 191107
% 20.86/21.25 Kept: 40649
% 20.86/21.25 Inuse: 1073
% 20.86/21.25 Deleted: 690
% 20.86/21.25 Deletedinuse: 65
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying clauses:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 202036
% 20.86/21.25 Kept: 42698
% 20.86/21.25 Inuse: 1084
% 20.86/21.25 Deleted: 1658
% 20.86/21.25 Deletedinuse: 65
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 215257
% 20.86/21.25 Kept: 44772
% 20.86/21.25 Inuse: 1119
% 20.86/21.25 Deleted: 1658
% 20.86/21.25 Deletedinuse: 65
% 20.86/21.25
% 20.86/21.25 Resimplifying inuse:
% 20.86/21.25 Done
% 20.86/21.25
% 20.86/21.25
% 20.86/21.25 Intermediate Status:
% 20.86/21.25 Generated: 224947
% 20.86/21.25 Kept: 47625
% 61.69/62.05 Inuse: 1123
% 61.69/62.05 Deleted: 1658
% 61.69/62.05 Deletedinuse: 65
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 240989
% 61.69/62.05 Kept: 50469
% 61.69/62.05 Inuse: 1134
% 61.69/62.05 Deleted: 1658
% 61.69/62.05 Deletedinuse: 65
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 251816
% 61.69/62.05 Kept: 52667
% 61.69/62.05 Inuse: 1154
% 61.69/62.05 Deleted: 1658
% 61.69/62.05 Deletedinuse: 65
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 259189
% 61.69/62.05 Kept: 54771
% 61.69/62.05 Inuse: 1174
% 61.69/62.05 Deleted: 1658
% 61.69/62.05 Deletedinuse: 65
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 268329
% 61.69/62.05 Kept: 56877
% 61.69/62.05 Inuse: 1189
% 61.69/62.05 Deleted: 1658
% 61.69/62.05 Deletedinuse: 65
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 279759
% 61.69/62.05 Kept: 59042
% 61.69/62.05 Inuse: 1199
% 61.69/62.05 Deleted: 1658
% 61.69/62.05 Deletedinuse: 65
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying clauses:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 289453
% 61.69/62.05 Kept: 61169
% 61.69/62.05 Inuse: 1235
% 61.69/62.05 Deleted: 2022
% 61.69/62.05 Deletedinuse: 69
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 296782
% 61.69/62.05 Kept: 63201
% 61.69/62.05 Inuse: 1260
% 61.69/62.05 Deleted: 2025
% 61.69/62.05 Deletedinuse: 72
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 305886
% 61.69/62.05 Kept: 65208
% 61.69/62.05 Inuse: 1286
% 61.69/62.05 Deleted: 2025
% 61.69/62.05 Deletedinuse: 72
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 317461
% 61.69/62.05 Kept: 67358
% 61.69/62.05 Inuse: 1320
% 61.69/62.05 Deleted: 2025
% 61.69/62.05 Deletedinuse: 72
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 336312
% 61.69/62.05 Kept: 69543
% 61.69/62.05 Inuse: 1340
% 61.69/62.05 Deleted: 2025
% 61.69/62.05 Deletedinuse: 72
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 352127
% 61.69/62.05 Kept: 72361
% 61.69/62.05 Inuse: 1355
% 61.69/62.05 Deleted: 2025
% 61.69/62.05 Deletedinuse: 72
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 368173
% 61.69/62.05 Kept: 74542
% 61.69/62.05 Inuse: 1382
% 61.69/62.05 Deleted: 2042
% 61.69/62.05 Deletedinuse: 76
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 381247
% 61.69/62.05 Kept: 77196
% 61.69/62.05 Inuse: 1392
% 61.69/62.05 Deleted: 2042
% 61.69/62.05 Deletedinuse: 76
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 400739
% 61.69/62.05 Kept: 81028
% 61.69/62.05 Inuse: 1427
% 61.69/62.05 Deleted: 2042
% 61.69/62.05 Deletedinuse: 76
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying clauses:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 409960
% 61.69/62.05 Kept: 83255
% 61.69/62.05 Inuse: 1447
% 61.69/62.05 Deleted: 2620
% 61.69/62.05 Deletedinuse: 76
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 422632
% 61.69/62.05 Kept: 85275
% 61.69/62.05 Inuse: 1473
% 61.69/62.05 Deleted: 2623
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 446127
% 61.69/62.05 Kept: 87760
% 61.69/62.05 Inuse: 1476
% 61.69/62.05 Deleted: 2623
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 463808
% 61.69/62.05 Kept: 89827
% 61.69/62.05 Inuse: 1479
% 61.69/62.05 Deleted: 2623
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 509662
% 61.69/62.05 Kept: 95524
% 61.69/62.05 Inuse: 1487
% 61.69/62.05 Deleted: 2623
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 550647
% 61.69/62.05 Kept: 100040
% 61.69/62.05 Inuse: 1492
% 61.69/62.05 Deleted: 2623
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying clauses:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 578992
% 61.69/62.05 Kept: 103105
% 61.69/62.05 Inuse: 1507
% 61.69/62.05 Deleted: 3131
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 591523
% 61.69/62.05 Kept: 105555
% 61.69/62.05 Inuse: 1512
% 61.69/62.05 Deleted: 3131
% 61.69/62.05 Deletedinuse: 79
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 604503
% 61.69/62.05 Kept: 108240
% 61.69/62.05 Inuse: 1517
% 61.69/62.05 Deleted: 3132
% 61.69/62.05 Deletedinuse: 80
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 615995
% 61.69/62.05 Kept: 110314
% 61.69/62.05 Inuse: 1542
% 61.69/62.05 Deleted: 3134
% 61.69/62.05 Deletedinuse: 82
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 637248
% 61.69/62.05 Kept: 112333
% 61.69/62.05 Inuse: 1558
% 61.69/62.05 Deleted: 3139
% 61.69/62.05 Deletedinuse: 82
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 661575
% 61.69/62.05 Kept: 114762
% 61.69/62.05 Inuse: 1577
% 61.69/62.05 Deleted: 3140
% 61.69/62.05 Deletedinuse: 83
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 678688
% 61.69/62.05 Kept: 116805
% 61.69/62.05 Inuse: 1615
% 61.69/62.05 Deleted: 3144
% 61.69/62.05 Deletedinuse: 86
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 772364
% 61.69/62.05 Kept: 118806
% 61.69/62.05 Inuse: 1668
% 61.69/62.05 Deleted: 3150
% 61.69/62.05 Deletedinuse: 88
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 844253
% 61.69/62.05 Kept: 120809
% 61.69/62.05 Inuse: 1807
% 61.69/62.05 Deleted: 3186
% 61.69/62.05 Deletedinuse: 98
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying clauses:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 905107
% 61.69/62.05 Kept: 122811
% 61.69/62.05 Inuse: 1940
% 61.69/62.05 Deleted: 4383
% 61.69/62.05 Deletedinuse: 103
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 996507
% 61.69/62.05 Kept: 124819
% 61.69/62.05 Inuse: 2117
% 61.69/62.05 Deleted: 4407
% 61.69/62.05 Deletedinuse: 118
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1062667
% 61.69/62.05 Kept: 126821
% 61.69/62.05 Inuse: 2217
% 61.69/62.05 Deleted: 4415
% 61.69/62.05 Deletedinuse: 121
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1133419
% 61.69/62.05 Kept: 129476
% 61.69/62.05 Inuse: 2297
% 61.69/62.05 Deleted: 4419
% 61.69/62.05 Deletedinuse: 121
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1200756
% 61.69/62.05 Kept: 131487
% 61.69/62.05 Inuse: 2399
% 61.69/62.05 Deleted: 4419
% 61.69/62.05 Deletedinuse: 121
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1288345
% 61.69/62.05 Kept: 133502
% 61.69/62.05 Inuse: 2504
% 61.69/62.05 Deleted: 4420
% 61.69/62.05 Deletedinuse: 121
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1446278
% 61.69/62.05 Kept: 135509
% 61.69/62.05 Inuse: 2653
% 61.69/62.05 Deleted: 4420
% 61.69/62.05 Deletedinuse: 121
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1510639
% 61.69/62.05 Kept: 137513
% 61.69/62.05 Inuse: 2756
% 61.69/62.05 Deleted: 4457
% 61.69/62.05 Deletedinuse: 121
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1550789
% 61.69/62.05 Kept: 139551
% 61.69/62.05 Inuse: 2852
% 61.69/62.05 Deleted: 4463
% 61.69/62.05 Deletedinuse: 122
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1615008
% 61.69/62.05 Kept: 141557
% 61.69/62.05 Inuse: 2939
% 61.69/62.05 Deleted: 4463
% 61.69/62.05 Deletedinuse: 122
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying clauses:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Intermediate Status:
% 61.69/62.05 Generated: 1699290
% 61.69/62.05 Kept: 143564
% 61.69/62.05 Inuse: 3046
% 61.69/62.05 Deleted: 6366
% 61.69/62.05 Deletedinuse: 122
% 61.69/62.05
% 61.69/62.05 Resimplifying inuse:
% 61.69/62.05 Done
% 61.69/62.05
% 61.69/62.05
% 61.69/62.05 Bliksems!, er is een bewijs:
% 61.69/62.05 % SZS status Unsatisfiable
% 61.69/62.05 % SZS output start Refutation
% 61.69/62.05
% 61.69/62.05 clause( 343, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z,
% 61.69/62.05 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_in'( X, T, Z ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 344, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 345, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 61.69/62.06 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 350, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 363, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 61.69/62.06 , 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 371, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 372, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 380, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ]
% 61.69/62.06 )
% 61.69/62.06 .
% 61.69/62.06 clause( 385, [ =( 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname',
% 61.69/62.06 't_a' ), 'v_G' ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 386, [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 387, [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP( 'v_mgt__call',
% 61.69/62.06 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) )
% 61.69/62.06 , 't_a' ), 'v_G', 'tc_fun'( 't_a', 'tc_bool' ) ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 432, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y
% 61.69/62.06 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 61.69/62.06 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Y, Z ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 433, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 2347, [ =( 'c_Set_Oimage'( 'v_mgt__call', X, 'tc_Com_Opname', 't_a'
% 61.69/62.06 ), 'v_G' ), ~( =( X, 'v_U' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 7414, [ hBOOL( hAPP( 'v_U', 'v_pn' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 7709, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, Y, T ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 7721, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), T ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 114996, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( Y, X
% 61.69/62.06 ) ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 115699, [ ~( 'c_in'( hAPP( 'v_mgt__call', 'v_pn' ), 'v_G', 't_a' )
% 61.69/62.06 ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 115705, [ ~( 'c_in'( hAPP( 'v_mgt__call', 'v_pn' ), 'v_G', X ) ) ]
% 61.69/62.06 )
% 61.69/62.06 .
% 61.69/62.06 clause( 115860, [ ~( 'c_in'( hAPP( 'v_mgt__call', 'v_pn' ), X, Y ) ), ~(
% 61.69/62.06 =( X, 'v_G' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 116574, [ ~( =( 'c_Set_Oinsert'( hAPP( 'v_mgt__call', 'v_pn' ), X,
% 61.69/62.06 Y ), 'v_G' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 116949, [ ~( =( 'c_Set_Oimage'( 'v_mgt__call', 'c_Set_Oinsert'(
% 61.69/62.06 'v_pn', X, Y ), Y, Z ), 'v_G' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 144232, [ ~( =( 'c_Set_Oinsert'( 'v_pn', X, 'tc_Com_Opname' ),
% 61.69/62.06 'v_U' ) ) ] )
% 61.69/62.06 .
% 61.69/62.06 clause( 144252, [] )
% 61.69/62.06 .
% 61.69/62.06
% 61.69/62.06
% 61.69/62.06 % SZS output end Refutation
% 61.69/62.06 found a proof!
% 61.69/62.06
% 61.69/62.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 61.69/62.06
% 61.69/62.06 initialclauses(
% 61.69/62.06 [ clause( 144254, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 61.69/62.06 , X ) ), T ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144255, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 61.69/62.06 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144256, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 61.69/62.06 Y, Z, X ), ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144257, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144258, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z
% 61.69/62.06 , T ), Y ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 61.69/62.06 , clause( 144259, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 61.69/62.06 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 61.69/62.06 , 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144260, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 61.69/62.06 ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), 'c_HOL_Ominus__class_Ominus'( Y, T,
% 61.69/62.06 X ) ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ) ) ] )
% 61.69/62.06 , clause( 144261, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T,
% 61.69/62.06 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144262, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 61.69/62.06 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144263, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ] )
% 61.69/62.06 , clause( 144264, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T )
% 61.69/62.06 , Z ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 61.69/62.06 Z, 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 61.69/62.06 , clause( 144265, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 61.69/62.06 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144266, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 61.69/62.06 ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144267, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 61.69/62.06 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 61.69/62.06 , clause( 144268, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 61.69/62.06 'class_Lattices_Olower__semilattice'( X ) ), =(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ) ) ] )
% 61.69/62.06 , clause( 144269, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 61.69/62.06 ), =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z
% 61.69/62.06 , X ), T, X ), 'c_Orderings_Oord__class_Omax'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 61.69/62.06 , T, X ), X ) ) ] )
% 61.69/62.06 , clause( 144270, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ] )
% 61.69/62.06 , clause( 144271, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ] )
% 61.69/62.06 , clause( 144272, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 61.69/62.06 Y, Z, X ) ), Y ) ] )
% 61.69/62.06 , clause( 144273, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 61.69/62.06 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144274, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 61.69/62.06 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144275, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 61.69/62.06 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144276, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 61.69/62.06 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144277, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ] )
% 61.69/62.06 , clause( 144278, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ] )
% 61.69/62.06 , clause( 144279, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ] )
% 61.69/62.06 , clause( 144280, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ] )
% 61.69/62.06 , clause( 144281, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ] )
% 61.69/62.06 , clause( 144282, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ] )
% 61.69/62.06 , clause( 144283, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 61.69/62.06 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 61.69/62.06 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 61.69/62.06 , clause( 144284, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 61.69/62.06 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144285, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 61.69/62.06 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 61.69/62.06 , clause( 144286, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144287, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ] )
% 61.69/62.06 , clause( 144288, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 61.69/62.06 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144289, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 61.69/62.06 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 61.69/62.06 , clause( 144290, [ ~( =( hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 61.69/62.06 , hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X
% 61.69/62.06 , T, U ) ) ) ), ~( =( hAPP( X, hAPP( Z,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 61.69/62.06 ), hAPP( X, hAPP( Z,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 61.69/62.06 ) ) ), 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Z, Y, T, T ), T, U ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, Y, T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144291, [ ~( =( hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 61.69/62.06 , hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X
% 61.69/62.06 , T, U ) ) ) ), ~( =( hAPP( X, hAPP( Z,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 61.69/62.06 ), hAPP( X, hAPP( Z,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 61.69/62.06 ) ) ), 'c_Fun_Oinj__on'( X, Y, T, U ), ~( 'c_Fun_Oinj__on'( X,
% 61.69/62.06 'c_Set_Oimage'( Z, Y, T, T ), T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144292, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U
% 61.69/62.06 ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T
% 61.69/62.06 ) ), =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 61.69/62.06 Z, Y, X, T, U ) ), hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 61.69/62.06 ), =( hAPP( X, hAPP( Y,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y, X, T, U ) )
% 61.69/62.06 ), hAPP( X, hAPP( Y,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144293, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 61.69/62.06 , 'c_Set_Oimage'( U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 61.69/62.06 ) ), =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 61.69/62.06 Y, U, X, Z, T ) ), hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 61.69/62.06 ), =( hAPP( X, hAPP( U,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 61.69/62.06 ), hAPP( X, hAPP( U,
% 61.69/62.06 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144294, [ =( hAPP( 'c_Fun_Othe__inv__into'(
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 61.69/62.06 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 61.69/62.06 , clause( 144295, [ ~( =( 'c_Finite__Set_Ocard'( X, Y ),
% 61.69/62.06 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( X,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144296, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 61.69/62.06 Z, Y, X ) ) ] )
% 61.69/62.06 , clause( 144297, [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 61.69/62.06 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 61.69/62.06 , clause( 144298, [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 61.69/62.06 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 61.69/62.06 , clause( 144299, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 61.69/62.06 Z, T, X ) ), X ) ] )
% 61.69/62.06 , clause( 144300, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), Y ) ] )
% 61.69/62.06 , clause( 144301, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 61.69/62.06 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ] )
% 61.69/62.06 , clause( 144302, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 61.69/62.06 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ] )
% 61.69/62.06 , clause( 144303, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 , T ), X ), Y ) ) ) ] )
% 61.69/62.06 , clause( 144304, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 , X ), T ), Y ) ) ) ] )
% 61.69/62.06 , clause( 144305, [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =(
% 61.69/62.06 hAPP( X, Y ), Z ) ] )
% 61.69/62.06 , clause( 144306, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 61.69/62.06 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144307, [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), U, Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ] )
% 61.69/62.06 , clause( 144308, [ 'c_in'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~( 'c_in'( X, Z, Y ) ) ] )
% 61.69/62.06 , clause( 144309, [ 'c_in'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~( 'c_in'( X, Z, Y ) ) ] )
% 61.69/62.06 , clause( 144310, [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 61.69/62.06 , 'tc_bool' ) ), Y ) ] )
% 61.69/62.06 , clause( 144311, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144312, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 , T ), Y ), Z ) ) ] )
% 61.69/62.06 , clause( 144313, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 , Y ), T ), Z ) ) ] )
% 61.69/62.06 , clause( 144314, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 61.69/62.06 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 61.69/62.06 , clause( 144315, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 61.69/62.06 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 61.69/62.06 , clause( 144316, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 61.69/62.06 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 61.69/62.06 , clause( 144317, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 61.69/62.06 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 61.69/62.06 , clause( 144318, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 61.69/62.06 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 61.69/62.06 , clause( 144319, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144320, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 61.69/62.06 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 61.69/62.06 , clause( 144321, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 61.69/62.06 Y, Z ) ] )
% 61.69/62.06 , clause( 144322, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 61.69/62.06 , X ) ) ] )
% 61.69/62.06 , clause( 144323, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 61.69/62.06 , X ) ) ] )
% 61.69/62.06 , clause( 144324, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144325, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 61.69/62.06 Z, Y ) ] )
% 61.69/62.06 , clause( 144326, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 61.69/62.06 , X ) ) ] )
% 61.69/62.06 , clause( 144327, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144328, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 61.69/62.06 Z, T, X ) ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144329, [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), Y, U ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), Y, U ) ) ] )
% 61.69/62.06 , clause( 144330, [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U
% 61.69/62.06 ), W, V0, T, U ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U )
% 61.69/62.06 , Y, Z, T, U ) ), =( Y, W ) ] )
% 61.69/62.06 , clause( 144331, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), T, U ) ), =( Y, Z ) ] )
% 61.69/62.06 , clause( 144332, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Y, T, X
% 61.69/62.06 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( T, Z
% 61.69/62.06 , X ), X ) ) ] )
% 61.69/62.06 , clause( 144333, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 61.69/62.06 , clause( 144334, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 61.69/62.06 , clause( 144335, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 61.69/62.06 , clause( 144336, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 61.69/62.06 , clause( 144337, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 61.69/62.06 X, 'tc_bool' ) ), Z ), T ) ) ) ] )
% 61.69/62.06 , clause( 144338, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 61.69/62.06 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 61.69/62.06 X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 61.69/62.06 , clause( 144339, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, Z, X
% 61.69/62.06 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ] )
% 61.69/62.06 , clause( 144340, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 61.69/62.06 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 61.69/62.06 , clause( 144341, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 61.69/62.06 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 61.69/62.06 , clause( 144342, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144343, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144344, [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U
% 61.69/62.06 ), Y, W, T, U ), 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ] )
% 61.69/62.06 , clause( 144345, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ] )
% 61.69/62.06 , clause( 144346, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ] )
% 61.69/62.06 , clause( 144347, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), Y )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144348, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), Y )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144349, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 61.69/62.06 , T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ] )
% 61.69/62.06 , clause( 144350, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144351, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144352, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 61.69/62.06 , clause( 144353, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 61.69/62.06 , clause( 144354, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 61.69/62.06 , clause( 144355, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ] )
% 61.69/62.06 , clause( 144356, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 61.69/62.06 X, 'tc_bool' ) ), Y ) ) ] )
% 61.69/62.06 , clause( 144357, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 61.69/62.06 ), =( Z, Y ) ] )
% 61.69/62.06 , clause( 144358, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144359, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 61.69/62.06 ), =( Z, Y ) ] )
% 61.69/62.06 , clause( 144360, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 61.69/62.06 , clause( 144361, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144362, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ] )
% 61.69/62.06 , clause( 144363, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 61.69/62.06 , clause( 144364, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144365, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144366, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144367, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144368, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144369, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144370, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 61.69/62.06 , clause( 144371, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 61.69/62.06 , clause( 144372, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 61.69/62.06 X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ) ) ] )
% 61.69/62.06 , clause( 144373, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144374, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Y ), Y ) ] )
% 61.69/62.06 , clause( 144375, [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 61.69/62.06 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 61.69/62.06 , clause( 144376, [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( hAPP(
% 61.69/62.06 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 61.69/62.06 Y, 'tc_bool' ) ), X, Y, Z ), hAPP( X, T ) ), T ) ] )
% 61.69/62.06 , clause( 144377, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144378, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 61.69/62.06 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 61.69/62.06 , clause( 144379, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 61.69/62.06 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 61.69/62.06 , clause( 144380, [ hBOOL( hAPP( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( Y, T ) ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144381, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP(
% 61.69/62.06 X, W ) ), =( W, Y ) ] )
% 61.69/62.06 , clause( 144382, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP(
% 61.69/62.06 X, W ) ), =( W, Y ) ] )
% 61.69/62.06 , clause( 144383, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 61.69/62.06 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ), X ) ] )
% 61.69/62.06 , clause( 144384, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'(
% 61.69/62.06 X, T, Y ) ) ] )
% 61.69/62.06 , clause( 144385, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 61.69/62.06 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 61.69/62.06 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144386, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 61.69/62.06 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 61.69/62.06 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 61.69/62.06 , clause( 144387, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, T
% 61.69/62.06 , X ) ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ) ] )
% 61.69/62.06 , clause( 144388, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 61.69/62.06 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ) ) ] )
% 61.69/62.06 , clause( 144389, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 61.69/62.06 Y, X ) ) ] )
% 61.69/62.06 , clause( 144390, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 61.69/62.06 Y, X ) ) ] )
% 61.69/62.06 , clause( 144391, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 61.69/62.06 Y, X ) ) ] )
% 61.69/62.06 , clause( 144392, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 61.69/62.06 Y, X ) ) ] )
% 61.69/62.06 , clause( 144393, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U,
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z
% 61.69/62.06 , T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 61.69/62.06 , clause( 144394, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 61.69/62.06 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ) ) ) ] )
% 61.69/62.06 , clause( 144395, [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z
% 61.69/62.06 , T, U ), hAPP( hAPP( X, Z ), W ), U, V0 ), ~(
% 61.69/62.06 'c_Finite__Set_Ofold__graph'( X, Y, T, W, U, V0 ) ), 'c_in'( Z, T, U ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144396, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ) ), 'c_in'( Y, T, X ) ] )
% 61.69/62.06 , clause( 144397, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), T ) ), 'c_in'( Z, Y, X ) ] )
% 61.69/62.06 , clause( 144398, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 61.69/62.06 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144399, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144400, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), X ) ), ~( 'c_in'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144401, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), T ), X ) ), ~( 'c_in'( Z, Y, X ) ) ] )
% 61.69/62.06 , clause( 144402, [ 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'(
% 61.69/62.06 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( T, hAPP( Y, T ),
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 61.69/62.06 , clause( 144403, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 61.69/62.06 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 61.69/62.06 ) ) ) ] )
% 61.69/62.06 , clause( 144404, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 61.69/62.06 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144405, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144406, [ 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z,
% 61.69/62.06 T ), U ), X, Z ), ~( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ] )
% 61.69/62.06 , clause( 144407, [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T
% 61.69/62.06 ), U ), hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =(
% 61.69/62.06 U, W ), ~( 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_in'( U,
% 61.69/62.06 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ] )
% 61.69/62.06 , clause( 144408, [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X
% 61.69/62.06 , Z, T ), U ) ), U ), ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144409, [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ),
% 61.69/62.06 W, T, U ), 'c_Set_Oimage'( X, W, T, U ) ), 'c_in'( Y, W, T ) ] )
% 61.69/62.06 , clause( 144410, [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 61.69/62.06 hAPP( Y, U ) ), U ), ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z
% 61.69/62.06 , T ) ) ] )
% 61.69/62.06 , clause( 144411, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U
% 61.69/62.06 ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X )
% 61.69/62.06 ), X ) ] )
% 61.69/62.06 , clause( 144412, [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y
% 61.69/62.06 , U ) ), U ), ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144413, [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP(
% 61.69/62.06 'c_Fun_Othe__inv__into'( Y, X, Z, T ), hAPP( X, U ) ), U ), ~( 'c_in'( U
% 61.69/62.06 , Y, Z ) ) ] )
% 61.69/62.06 , clause( 144414, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 61.69/62.06 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144415, [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), Y, U ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 61.69/62.06 'tc_fun'( U, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144416, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144417, [ ~( =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 61.69/62.06 ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ), Y
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144418, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144419, [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T )
% 61.69/62.06 , 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144420, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 61.69/62.06 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 61.69/62.06 , clause( 144421, [ =( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T
% 61.69/62.06 ), 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), X ), ~( 'c_Fun_Oinj__on'( Y, X
% 61.69/62.06 , Z, T ) ) ] )
% 61.69/62.06 , clause( 144422, [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T )
% 61.69/62.06 , T ), 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144423, [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z
% 61.69/62.06 ), 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 61.69/62.06 , clause( 144424, [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y
% 61.69/62.06 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T
% 61.69/62.06 , Z ), T ) ] )
% 61.69/62.06 , clause( 144425, [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X
% 61.69/62.06 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), T ), U, T ), U ) ) ] )
% 61.69/62.06 , clause( 144426, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 61.69/62.06 'c_in'( T, X, Z ), 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X,
% 61.69/62.06 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144427, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ), 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ] )
% 61.69/62.06 , clause( 144428, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 61.69/62.06 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144429, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 61.69/62.06 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 61.69/62.06 , clause( 144430, [ ~( 'class_Orderings_Oorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 61.69/62.06 , clause( 144431, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 61.69/62.06 , 'c_lessequals'( Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X )
% 61.69/62.06 , X ), ~( 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ] )
% 61.69/62.06 , clause( 144432, [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( X ), X ) ] )
% 61.69/62.06 , clause( 144433, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 X ), Y ), Z ), Y, X ) ] )
% 61.69/62.06 , clause( 144434, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 X ), Y ), Z ), Z, X ) ] )
% 61.69/62.06 , clause( 144435, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144436, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144437, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144438, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 61.69/62.06 Z, X ) ] )
% 61.69/62.06 , clause( 144439, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 61.69/62.06 Y, X ) ] )
% 61.69/62.06 , clause( 144440, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144441, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 61.69/62.06 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144442, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 61.69/62.06 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144443, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ),
% 61.69/62.06 Z, X ) ) ] )
% 61.69/62.06 , clause( 144444, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ),
% 61.69/62.06 Z, X ) ) ] )
% 61.69/62.06 , clause( 144445, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 61.69/62.06 Z, X ) ) ] )
% 61.69/62.06 , clause( 144446, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 61.69/62.06 T, X ) ) ] )
% 61.69/62.06 , clause( 144447, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 61.69/62.06 Z, X ) ) ] )
% 61.69/62.06 , clause( 144448, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 61.69/62.06 T, X ) ) ] )
% 61.69/62.06 , clause( 144449, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ),
% 61.69/62.06 Z, X ) ) ] )
% 61.69/62.06 , clause( 144450, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ),
% 61.69/62.06 Z, X ) ) ] )
% 61.69/62.06 , clause( 144451, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ] )
% 61.69/62.06 , clause( 144452, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144453, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ] )
% 61.69/62.06 , clause( 144454, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144455, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 61.69/62.06 'c_lessequals'( Z, T, X ) ) ] )
% 61.69/62.06 , clause( 144456, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144457, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 61.69/62.06 'c_lessequals'( Z, T, X ) ) ] )
% 61.69/62.06 , clause( 144458, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144459, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ] )
% 61.69/62.06 , clause( 144460, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ] )
% 61.69/62.06 , clause( 144461, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ] )
% 61.69/62.06 , clause( 144462, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ] )
% 61.69/62.06 , clause( 144463, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 61.69/62.06 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144464, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 61.69/62.06 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144465, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 61.69/62.06 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144466, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y, X ) ] )
% 61.69/62.06 , clause( 144467, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z, X ) ] )
% 61.69/62.06 , clause( 144468, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144469, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144470, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 61.69/62.06 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144471, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 61.69/62.06 X ) ) ] )
% 61.69/62.06 , clause( 144472, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144473, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 61.69/62.06 X ) ) ] )
% 61.69/62.06 , clause( 144474, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Y
% 61.69/62.06 , Z, X ) ) ] )
% 61.69/62.06 , clause( 144475, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), 'c_lessequals'( Y,
% 61.69/62.06 Z, X ) ] )
% 61.69/62.06 , clause( 144476, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 61.69/62.06 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Z
% 61.69/62.06 , Y, X ) ) ] )
% 61.69/62.06 , clause( 144477, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 61.69/62.06 , clause( 144478, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144479, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 61.69/62.06 , clause( 144480, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144481, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 61.69/62.06 , clause( 144482, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144483, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 61.69/62.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 61.69/62.06 , clause( 144484, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144485, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ),
% 61.69/62.06 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144486, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 61.69/62.06 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 61.69/62.06 Y ) ), 'c_lessequals'( Y, Z, X ) ] )
% 61.69/62.06 , clause( 144487, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ),
% 61.69/62.06 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 61.69/62.06 , clause( 144488, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144489, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ] )
% 61.69/62.06 , clause( 144490, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 61.69/62.06 , clause( 144491, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 61.69/62.06 , clause( 144492, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144493, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 61.69/62.06 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ] )
% 61.69/62.06 , clause( 144494, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 61.69/62.06 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), X ) ] )
% 61.69/62.06 , clause( 144495, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 61.69/62.06 'c_Finite__Set_Ofold__graph'( Z, T, X, U, Y, W ) ) ] )
% 61.69/62.06 , clause( 144496, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 61.69/62.06 , clause( 144497, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144498, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 61.69/62.06 , clause( 144499, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 61.69/62.06 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144500, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144501, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144502, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144503, [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144504, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144505, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144506, [ 'c_Finite__Set_Ofold__graph'( X, Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144507, [ 'c_Nitpick_Ofold__graph_H'( X, Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144508, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ),
% 61.69/62.06 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), X ) ) ] )
% 61.69/62.06 , clause( 144509, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 61.69/62.06 'tc_fun'( T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X )
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144510, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 61.69/62.06 Y, Z, 'tc_fun'( T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ) ) ] )
% 61.69/62.06 , clause( 144511, [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z,
% 61.69/62.06 'tc_fun'( T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X
% 61.69/62.06 ) ) ) ] )
% 61.69/62.06 , clause( 144512, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z
% 61.69/62.06 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144513, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144514, [ 'c_lessequals'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 61.69/62.06 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144515, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 61.69/62.06 ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144516, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144517, [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144518, [ 'c_lessequals'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 61.69/62.06 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144519, [ 'c_lessequals'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 61.69/62.06 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144520, [ 'c_lessequals'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144521, [ 'c_lessequals'( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144522, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144523, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144524, [ =( hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144525, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 61.69/62.06 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144526, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 , T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144527, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 , Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144528, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ), 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144529, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 61.69/62.06 ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 61.69/62.06 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 61.69/62.06 , clause( 144530, [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 61.69/62.06 ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 61.69/62.06 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 61.69/62.06 , clause( 144531, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ), 'c_in'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ), Y, Z )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144532, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 61.69/62.06 U, T ) ) ] )
% 61.69/62.06 , clause( 144533, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ), 'c_in'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 61.69/62.06 , Z ) ] )
% 61.69/62.06 , clause( 144534, [ 'c_in'( hAPP( X, Y ),
% 61.69/62.06 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( T, 'tc_bool' )
% 61.69/62.06 ), T ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), hAPP( Z,
% 61.69/62.06 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_in'(
% 61.69/62.06 Y, U, W ) ) ] )
% 61.69/62.06 , clause( 144535, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 61.69/62.06 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144536, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( X,
% 61.69/62.06 T, Y ) ] )
% 61.69/62.06 , clause( 144537, [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ),
% 61.69/62.06 'c_Set_Oimage'( T, Y, Z, U ), U ) ), ~( 'c_Fun_Oinj__on'( T,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 61.69/62.06 , clause( 144538, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 61.69/62.06 , ~( 'c_in'( Y, Z, T ) ), ~( 'c_Fun_Oinj__on'( X,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 61.69/62.06 , clause( 144539, [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T )
% 61.69/62.06 , U ) ), U ), ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ] )
% 61.69/62.06 , clause( 144540, [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W
% 61.69/62.06 , T, U ), 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 61.69/62.06 , clause( 144541, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 61.69/62.06 , 'c_Set_Oimage'( U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 61.69/62.06 ) ), 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U
% 61.69/62.06 , X, Z, T ), Y, Z ) ] )
% 61.69/62.06 , clause( 144542, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U
% 61.69/62.06 ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T
% 61.69/62.06 ) ), 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y
% 61.69/62.06 , X, T, U ), Z, T ) ] )
% 61.69/62.06 , clause( 144543, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 61.69/62.06 , 'c_Set_Oimage'( U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 61.69/62.06 ) ), 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U
% 61.69/62.06 , X, Z, T ), Y, Z ) ] )
% 61.69/62.06 , clause( 144544, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U
% 61.69/62.06 ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T
% 61.69/62.06 ) ), 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y
% 61.69/62.06 , X, T, U ), Z, T ) ] )
% 61.69/62.06 , clause( 144545, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 61.69/62.06 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), X ) ) ] )
% 61.69/62.06 , clause( 144546, [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T
% 61.69/62.06 ), T ), 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 61.69/62.06 , Z ) ), 'c_Fun_Oinj__on'( X, Y, Z, T ) ] )
% 61.69/62.06 , clause( 144547, [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T )
% 61.69/62.06 , T ), 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T )
% 61.69/62.06 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 61.69/62.06 , clause( 144548, [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y
% 61.69/62.06 , Z, T ), 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( 'c_lessequals'( U
% 61.69/62.06 , X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144549, [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 , Z ), T ), Y, U ), hAPP( hAPP(
% 61.69/62.06 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 61.69/62.06 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 61.69/62.06 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 61.69/62.06 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144550, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 61.69/62.06 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 61.69/62.06 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 61.69/62.06 , clause( 144551, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 61.69/62.06 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 61.69/62.06 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144552, [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y
% 61.69/62.06 , Z, T ), U, T, Z ), ~( 'c_lessequals'( U, 'c_Set_Oimage'( Y, X, Z, T ),
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144553, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 61.69/62.06 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 61.69/62.06 , clause( 144554, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 61.69/62.06 ), 'c_in'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 61.69/62.06 Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144555, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 61.69/62.06 ), 'c_in'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 61.69/62.06 Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144556, [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T )
% 61.69/62.06 , U ), W, V0 ), ~( 'c_Nitpick_Ofold__graph_H'( X, Y,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 61.69/62.06 W, 'tc_bool' ) ), U, W, V0 ) ), ~( 'c_in'( T, Z, W ) ) ] )
% 61.69/62.06 , clause( 144557, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144558, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 61.69/62.06 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 61.69/62.06 ) ) ), 'c_in'( Y, Z, T ) ] )
% 61.69/62.06 , clause( 144559, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 61.69/62.06 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 61.69/62.06 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144560, [ =( 'c_Finite__Set_Osetsum'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), T, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Y, T,
% 61.69/62.06 'tc_nat' ) ), 'c_in'( Z, Y, T ) ] )
% 61.69/62.06 , clause( 144561, [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T
% 61.69/62.06 ), U ), W, V0 ), ~( 'c_in'( T, Z, W ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 61.69/62.06 X, Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 61.69/62.06 W, 'tc_bool' ) ), U, W, V0 ) ) ] )
% 61.69/62.06 , clause( 144562, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 61.69/62.06 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 61.69/62.06 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Z, U ) ) ] )
% 61.69/62.06 , clause( 144563, [ 'c_in'( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U
% 61.69/62.06 ), W, Z ), ~( 'c_lessequals'( X, W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_Fun_Oinj__on'( Y, X
% 61.69/62.06 , Z, T ) ) ] )
% 61.69/62.06 , clause( 144564, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144565, [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 61.69/62.06 Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( X, Y ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( U,
% 61.69/62.06 Z, T, Y ), X, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T
% 61.69/62.06 , Y ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T
% 61.69/62.06 , 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ] )
% 61.69/62.06 , clause( 144566, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 61.69/62.06 ), ~( 'c_lessequals'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 61.69/62.06 Z, X ), Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144567, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z ), ~( 'c_in'( Z, Y, X )
% 61.69/62.06 ), ~( 'c_lessequals'( Z,
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 61.69/62.06 Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144568, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 61.69/62.06 'c_Orderings_Oord__class_Omax'( Y, 'c_Finite__Set_Olinorder__class_OMax'(
% 61.69/62.06 Z, X ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 61.69/62.06 , clause( 144569, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 61.69/62.06 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ),
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), =( Z,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 61.69/62.06 , clause( 144570, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 61.69/62.06 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 61.69/62.06 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), 'c_in'( T, Z, U ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Z, U ) ) ] )
% 61.69/62.06 , clause( 144571, [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 61.69/62.06 'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 61.69/62.06 , clause( 144572, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 61.69/62.06 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ] )
% 61.69/62.06 , clause( 144573, [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ),
% 61.69/62.06 W, T, U ), 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( W, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_in'( Y, W, T ) ) ] )
% 61.69/62.06 , clause( 144574, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 61.69/62.06 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 61.69/62.06 X, T ), T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 61.69/62.06 , clause( 144575, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 61.69/62.06 'c_Set_Oinsert'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 61.69/62.06 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 61.69/62.06 X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 61.69/62.06 , clause( 144576, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 61.69/62.06 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 61.69/62.06 Y, T ), X ) ), ~( 'c_in'( T, Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144577, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 61.69/62.06 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 61.69/62.06 Y, T ), X ) ), ~( 'c_in'( T, Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144578, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 61.69/62.06 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), Y ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144579, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 61.69/62.06 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144580, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 61.69/62.06 , Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144581, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 61.69/62.06 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 61.69/62.06 , Z ) ) ] )
% 61.69/62.06 , clause( 144582, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ), =( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144583, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ), =( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144584, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( 'c_in'( Z, Y, X
% 61.69/62.06 ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 61.69/62.06 , clause( 144585, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 'c_in'( Y, Z, X
% 61.69/62.06 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 61.69/62.06 , clause( 144586, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144587, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144588, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z
% 61.69/62.06 , X, Y, T ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ),
% 61.69/62.06 T ) ) ] )
% 61.69/62.06 , clause( 144589, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 61.69/62.06 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 61.69/62.06 Y, Z ) ) ] )
% 61.69/62.06 , clause( 144590, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144591, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 61.69/62.06 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 61.69/62.06 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144592, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 61.69/62.06 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144593, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144594, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 61.69/62.06 , 'tc_bool' ) ), Z ) ) ] )
% 61.69/62.06 , clause( 144595, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 61.69/62.06 , 'tc_bool' ) ), T ) ) ] )
% 61.69/62.06 , clause( 144596, [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 61.69/62.06 Y, Z, T ), T, U ) ) ] )
% 61.69/62.06 , clause( 144597, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 61.69/62.06 , 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 Z, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, Z, T, U ) ) ] )
% 61.69/62.06 , clause( 144598, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 61.69/62.06 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 61.69/62.06 'c_in'( X, T, Z ) ] )
% 61.69/62.06 , clause( 144599, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 61.69/62.06 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T
% 61.69/62.06 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 61.69/62.06 , clause( 144600, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 61.69/62.06 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 61.69/62.06 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 61.69/62.06 , clause( 144601, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144602, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 61.69/62.06 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144603, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 61.69/62.06 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 61.69/62.06 , clause( 144604, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 61.69/62.06 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144605, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 61.69/62.06 , 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 61.69/62.06 , clause( 144606, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 61.69/62.06 , clause( 144607, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), X ) ] )
% 61.69/62.06 , clause( 144608, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144609, [ =( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 61.69/62.06 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 61.69/62.06 ) ) ) ] )
% 61.69/62.06 , clause( 144610, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144611, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 61.69/62.06 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 61.69/62.06 , clause( 144612, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 61.69/62.06 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 61.69/62.06 , clause( 144613, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 61.69/62.06 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 61.69/62.06 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 61.69/62.06 , clause( 144614, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 61.69/62.06 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 61.69/62.06 ~( 'c_lessequals'( U, T, X ) ) ] )
% 61.69/62.06 , clause( 144615, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 61.69/62.06 , clause( 144616, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 61.69/62.06 , clause( 144617, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~(
% 61.69/62.06 'c_in'( Y, T, U ) ) ] )
% 61.69/62.06 , clause( 144618, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 61.69/62.06 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 61.69/62.06 , Z ) ] )
% 61.69/62.06 , clause( 144619, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 61.69/62.06 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 61.69/62.06 , Z ) ] )
% 61.69/62.06 , clause( 144620, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 61.69/62.06 U ) ), ~( 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144621, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144622, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144623, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 61.69/62.06 , T, X ) ) ), =( Z, T ) ] )
% 61.69/62.06 , clause( 144624, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 61.69/62.06 , T, X ) ) ), =( Y, Z ) ] )
% 61.69/62.06 , clause( 144625, [ =( 'c_HOL_Ominus__class_Ominus'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 61.69/62.06 Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144626, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 61.69/62.06 , clause( 144627, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 61.69/62.06 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144628, [ 'c_lessequals'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 61.69/62.06 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 61.69/62.06 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, U ) ) ] )
% 61.69/62.06 , clause( 144629, [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~(
% 61.69/62.06 'c_Fun_Oinj__on'( X, Y, Z, Z ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y
% 61.69/62.06 , Z, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 61.69/62.06 , Z ) ) ] )
% 61.69/62.06 , clause( 144630, [ 'c_Finite__Set_Ofinite'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 61.69/62.06 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 61.69/62.06 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ] )
% 61.69/62.06 , clause( 144631, [ =( X, 'c_Set_Oimage'( Y,
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 61.69/62.06 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 61.69/62.06 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ] )
% 61.69/62.06 , clause( 144632, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y,
% 61.69/62.06 'c_Set_Oimage'( X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 61.69/62.06 , clause( 144633, [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 61.69/62.06 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 61.69/62.06 ), Z, T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' )
% 61.69/62.06 ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 61.69/62.06 , clause( 144634, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144635, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 61.69/62.06 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144636, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144637, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 61.69/62.06 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144638, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 61.69/62.06 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 61.69/62.06 ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T
% 61.69/62.06 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144639, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 61.69/62.06 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), Y ) ), ~( 'c_in'( U, T, Z ) ) ] )
% 61.69/62.06 , clause( 144640, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 61.69/62.06 , clause( 144641, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 61.69/62.06 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 61.69/62.06 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144642, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 61.69/62.06 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 61.69/62.06 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144643, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 61.69/62.06 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144644, [ =( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144645, [ 'c_in'( X, 'c_Set_Oinsert'( X,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ] )
% 61.69/62.06 , clause( 144646, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144647, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 61.69/62.06 X, Z, T ) ) ] )
% 61.69/62.06 , clause( 144648, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 61.69/62.06 X, Z, T ) ) ] )
% 61.69/62.06 , clause( 144649, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 61.69/62.06 Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144650, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 61.69/62.06 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 61.69/62.06 , clause( 144651, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144652, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Y, X ) ] )
% 61.69/62.06 , clause( 144653, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 61.69/62.06 Y, X ) ] )
% 61.69/62.06 , clause( 144654, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 61.69/62.06 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144655, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 61.69/62.06 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144656, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144657, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 61.69/62.06 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144658, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z
% 61.69/62.06 , 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 61.69/62.06 , clause( 144659, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144660, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 61.69/62.06 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144661, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 61.69/62.06 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144662, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 61.69/62.06 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 61.69/62.06 ] )
% 61.69/62.06 , clause( 144663, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 61.69/62.06 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144664, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 61.69/62.06 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 61.69/62.06 ~( 'c_in'( X, T, Z ) ) ] )
% 61.69/62.06 , clause( 144665, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 61.69/62.06 , clause( 144666, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 61.69/62.06 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144667, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 61.69/62.06 Y, 'tc_bool' ) ), Y ) ) ] )
% 61.69/62.06 , clause( 144668, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 61.69/62.06 , clause( 144669, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 61.69/62.06 Y, 'tc_bool' ) ), Y ) ) ] )
% 61.69/62.06 , clause( 144670, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 61.69/62.06 Y, 'tc_bool' ) ), Y ) ) ] )
% 61.69/62.06 , clause( 144671, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 61.69/62.06 , clause( 144672, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144673, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144674, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 61.69/62.06 , clause( 144675, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 61.69/62.06 , clause( 144676, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 61.69/62.06 , clause( 144677, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.06 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 61.69/62.06 , clause( 144678, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ),
% 61.69/62.06 T ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 61.69/62.06 , clause( 144679, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 61.69/62.06 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 61.69/62.06 , clause( 144680, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 61.69/62.06 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144681, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 61.69/62.06 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 61.69/62.06 , clause( 144682, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144683, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 61.69/62.06 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144684, [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X,
% 61.69/62.06 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ] )
% 61.69/62.06 , clause( 144685, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 61.69/62.06 , clause( 144686, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 61.69/62.06 , clause( 144687, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z
% 61.69/62.06 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 61.69/62.06 , clause( 144688, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 61.69/62.06 , clause( 144689, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 61.69/62.06 Z, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144690, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 61.69/62.06 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 61.69/62.06 , clause( 144691, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z )
% 61.69/62.06 , 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 61.69/62.06 , clause( 144692, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 61.69/62.06 , clause( 144693, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 61.69/62.06 , clause( 144694, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.06 , clause( 144695, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144696, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144697, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144698, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 61.69/62.06 'c_Set_Oimage'( Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 61.69/62.06 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 61.69/62.06 , clause( 144699, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ),
% 61.69/62.06 ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 61.69/62.06 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144700, [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144701, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 61.69/62.06 , clause( 144702, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 61.69/62.06 , clause( 144703, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 61.69/62.06 , clause( 144704, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T )
% 61.69/62.06 , 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 61.69/62.06 , clause( 144705, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 61.69/62.06 , clause( 144706, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 61.69/62.06 , clause( 144707, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.06 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 61.69/62.06 , clause( 144708, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144709, [ ~( =( 'c_Set_Oinsert'( X,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 61.69/62.06 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 61.69/62.06 'tc_bool' ) ), Y ) ) ), =( X, Z ) ] )
% 61.69/62.06 , clause( 144710, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 61.69/62.06 , clause( 144711, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 61.69/62.06 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X
% 61.69/62.06 , Y, Z ) ] )
% 61.69/62.06 , clause( 144712, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'(
% 61.69/62.06 X, T, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144713, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~(
% 61.69/62.06 hBOOL( hAPP( Y, T ) ) ) ] )
% 61.69/62.06 , clause( 144714, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z
% 61.69/62.06 , T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ]
% 61.69/62.06 )
% 61.69/62.06 , clause( 144715, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 61.69/62.06 'c_in'( Y, X, T ) ] )
% 61.69/62.06 , clause( 144716, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 61.69/62.06 'c_in'( T, X, Z ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144717, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 61.69/62.06 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 61.69/62.06 'c_in'( Y, X, T ) ] )
% 61.69/62.06 , clause( 144718, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 61.69/62.06 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 61.69/62.06 ), 'c_in'( T, X, Z ) ] )
% 61.69/62.06 , clause( 144719, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 61.69/62.06 , Z ) ) ), 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ] )
% 61.69/62.06 , clause( 144720, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z
% 61.69/62.06 ) ) ] )
% 61.69/62.06 , clause( 144721, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 61.69/62.06 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.06 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 61.69/62.06 , clause( 144722, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 61.69/62.06 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 61.69/62.06 , clause( 144723, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 61.69/62.06 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 61.69/62.06 , clause( 144724, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 61.69/62.06 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 61.69/62.06 , clause( 144725, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 61.69/62.06 , ~( 'c_in'( Y, Z, T ) ) ] )
% 61.69/62.06 , clause( 144726, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 61.69/62.06 , ~( 'c_in'( Y, Z, T ) ) ] )
% 61.69/62.06 , clause( 144727, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 61.69/62.06 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 61.69/62.06 , clause( 144728, [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ] )
% 61.69/62.06 , clause( 144729, [ =( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 61.69/62.06 'tc_Com_Opname', 't_a' ) ) ] )
% 61.69/62.06 , clause( 144730, [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ] )
% 61.69/62.06 , clause( 144731, [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP( 'v_mgt__call'
% 61.69/62.06 , 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 61.69/62.06 ), 't_a' ), 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a'
% 61.69/62.06 ), 'tc_fun'( 't_a', 'tc_bool' ) ) ) ] )
% 61.69/62.06 , clause( 144732, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 61.69/62.06 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 61.69/62.06 , clause( 144733, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 61.69/62.06 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 61.69/62.06 , clause( 144734, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 61.69/62.06 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 61.69/62.06 , clause( 144735, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) )
% 61.69/62.06 , ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 61.69/62.06 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 61.69/62.06 , clause( 144736, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 61.69/62.06 'class_Orderings_Opreorder'( Y ) ) ] )
% 61.69/62.06 , clause( 144737, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 61.69/62.06 'class_Lattices_Olattice'( Y ) ) ] )
% 61.69/62.06 , clause( 144738, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 61.69/62.06 'class_Orderings_Oorder'( Y ) ) ] )
% 61.69/62.06 , clause( 144739, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 61.69/62.06 'class_Orderings_Otop'( Y ) ) ] )
% 61.69/62.06 , clause( 144740, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 61.69/62.06 'class_Orderings_Obot'( Y ) ) ] )
% 61.69/62.06 , clause( 144741, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 61.69/62.06 'class_HOL_Oord'( Y ) ) ] )
% 61.69/62.06 , clause( 144742, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144743, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144744, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144745, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144746, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144747, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144748, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 61.69/62.06 , clause( 144749, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 61.69/62.06 ) ] )
% 61.69/62.06 , clause( 144750, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 61.69/62.06 , clause( 144751, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 61.69/62.06 , clause( 144752, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 61.69/62.06 , clause( 144753, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 61.69/62.06 , clause( 144754, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 61.69/62.06 , clause( 144755, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 61.69/62.08 , clause( 144756, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 61.69/62.08 , clause( 144757, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 61.69/62.08 , clause( 144758, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 61.69/62.08 , clause( 144759, [ 'c_fequal'( X, X, Y ) ] )
% 61.69/62.08 , clause( 144760, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 61.69/62.08 ] ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 343, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z,
% 61.69/62.08 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 61.69/62.08 'c_in'( X, T, Z ) ) ] )
% 61.69/62.08 , clause( 144664, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 61.69/62.08 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 61.69/62.08 ~( 'c_in'( X, T, Z ) ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 61.69/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 344, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 61.69/62.08 , clause( 144665, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.69/62.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 345, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 61.69/62.08 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ] )
% 61.69/62.08 , clause( 144666, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 61.69/62.08 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 61.69/62.08 )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 61.69/62.08 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 350, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.08 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 61.69/62.08 , clause( 144676, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.08 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 61.69/62.08 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 61.69/62.08 ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 363, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 61.69/62.08 , 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.08 , clause( 144694, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 61.69/62.08 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 371, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 61.69/62.08 , clause( 144705, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.69/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 372, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 61.69/62.08 , clause( 144706, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.69/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 380, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ]
% 61.69/62.08 )
% 61.69/62.08 , clause( 144720, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z
% 61.69/62.08 ) ) ] )
% 61.69/62.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 61.69/62.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 eqswap(
% 61.69/62.08 clause( 147584, [ =( 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname'
% 61.69/62.08 , 't_a' ), 'v_G' ) ] )
% 61.69/62.08 , clause( 144729, [ =( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 61.69/62.08 'tc_Com_Opname', 't_a' ) ) ] )
% 61.69/62.08 , 0, substitution( 0, [] )).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 385, [ =( 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname',
% 61.69/62.08 't_a' ), 'v_G' ) ] )
% 61.69/62.08 , clause( 147584, [ =( 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 61.69/62.08 'tc_Com_Opname', 't_a' ), 'v_G' ) ] )
% 61.69/62.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 386, [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ] )
% 61.69/62.08 , clause( 144730, [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ] )
% 61.69/62.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 paramod(
% 61.69/62.08 clause( 148757, [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP( 'v_mgt__call',
% 61.69/62.08 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) )
% 61.69/62.08 , 't_a' ), 'v_G', 'tc_fun'( 't_a', 'tc_bool' ) ) ) ] )
% 61.69/62.08 , clause( 385, [ =( 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname',
% 61.69/62.08 't_a' ), 'v_G' ) ] )
% 61.69/62.08 , 0, clause( 144731, [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP(
% 61.69/62.08 'v_mgt__call', 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a'
% 61.69/62.08 , 'tc_bool' ) ), 't_a' ), 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 61.69/62.08 'tc_Com_Opname', 't_a' ), 'tc_fun'( 't_a', 'tc_bool' ) ) ) ] )
% 61.69/62.08 , 0, 11, substitution( 0, [] ), substitution( 1, [] )).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 subsumption(
% 61.69/62.08 clause( 387, [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP( 'v_mgt__call',
% 61.69/62.08 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) )
% 61.69/62.08 , 't_a' ), 'v_G', 'tc_fun'( 't_a', 'tc_bool' ) ) ) ] )
% 61.69/62.08 , clause( 148757, [ ~( 'c_lessequals'( 'c_Set_Oinsert'( hAPP( 'v_mgt__call'
% 61.69/62.08 , 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 61.69/62.08 ), 't_a' ), 'v_G', 'tc_fun'( 't_a', 'tc_bool' ) ) ) ] )
% 61.69/62.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 eqswap(
% 61.69/62.08 clause( 148760, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Z,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 61.69/62.08 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 61.69/62.08 , clause( 350, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.08 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 61.69/62.08 , 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y ),
% 61.69/62.08 :=( U, U )] )).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 eqswap(
% 61.69/62.08 clause( 148762, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( Z,
% 61.69/62.08 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.08 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( U,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 61.69/62.08 ] )
% 61.69/62.08 , clause( 148760, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Z
% 61.69/62.08 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 61.69/62.08 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 61.69/62.08 , 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T ),
% 61.69/62.08 :=( U, U )] )).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 eqswap(
% 61.69/62.08 clause( 148763, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.08 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( T, Y ), =( T, X ) ] )
% 61.69/62.08 , clause( 148762, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( Z,
% 61.69/62.08 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 61.69/62.08 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( U,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 61.69/62.08 ] )
% 61.69/62.08 , 2, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z ),
% 61.69/62.08 :=( U, U )] )).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 eqfact(
% 61.69/62.08 clause( 148806, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'(
% 61.69/62.08 T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ),
% 61.69/62.08 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) ), =( Z, Y ) ] )
% 61.69/62.08 , clause( 148763, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 61.69/62.08 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 61.69/62.08 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 61.69/62.08 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( T, Y ), =( T, X ) ] )
% 61.69/62.08 , 2, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, Z ),
% 61.69/62.08 :=( U, T )] )).
% 61.69/62.08
% 61.69/62.08
% 61.69/62.08 eqswap(
% 61.69/62.08 clause( 148809, [ =( Y, X ), ~( =( Z, Y ) ), ~( =( 'c_Set_Oinsert'( X,
% 61.69/62.08 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 61.69/62.08 'tc_bool' ) ), U ), U ), 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( Y,
% 61.69/62.08 'c_Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------