TSTP Solution File: LCL801-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL801-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 : Sun Jul 17 07:58:10 EDT 2022
% Result : Unknown 261.86s 262.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL801-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 19:42:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.13/1.51 *** allocated 10000 integers for termspace/termends
% 1.13/1.51 *** allocated 10000 integers for clauses
% 1.13/1.51 *** allocated 10000 integers for justifications
% 1.13/1.51 *** allocated 15000 integers for termspace/termends
% 1.13/1.51 *** allocated 22500 integers for termspace/termends
% 1.13/1.51 *** allocated 33750 integers for termspace/termends
% 1.13/1.51 Bliksem 1.12
% 1.13/1.51
% 1.13/1.51
% 1.13/1.51 Automatic Strategy Selection
% 1.13/1.51
% 1.13/1.51 Clauses:
% 1.13/1.51 [
% 1.13/1.51 [ ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ), =( hAPP( T, U ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.13/1.51 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.13/1.51 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.13/1.51 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.13/1.51 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.13/1.51 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.13/1.51 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.13/1.51 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.13/1.51 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.13/1.51 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.13/1.51 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.13/1.51 Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.13/1.51 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.13/1.51 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.13/1.51 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.13/1.51 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.13/1.51 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.13/1.51 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 1.13/1.51 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 1.13/1.51 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.13/1.51 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.13/1.51 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.13/1.51 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.13/1.51 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ) ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.13/1.51 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( 'c_split'( X, T, U,
% 1.13/1.51 'tc_bool' ), hAPP( hAPP( 'c_Pair'( T, U ), Y ), Z ) ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( 'c_split'( X, Y, Z, 'tc_bool' ), hAPP( hAPP( 'c_Pair'( Y
% 1.13/1.51 , Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U,
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), W ), Z ) ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.13/1.51 ), hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X
% 1.13/1.51 , 'tc_fun'( T, 'tc_bool' ) ), Z ), W ) ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U,
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), W ), Z ) ) ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.13/1.51 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), X ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, hAPP( 'c_COMBK'( Y, Y ), hAPP( Z, hAPP( T, U ) ) ) )
% 1.13/1.51 , U ), hAPP( hAPP( X, Z ), U ) ), ~( hBOOL(
% 1.13/1.51 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, W ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), U ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ) ), T ), T ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), Y ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 1.13/1.51 , 'c_List_Olist_ONil'( T ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( T, U ), Y
% 1.13/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Owellorder'( X ) ), ~( hBOOL( hAPP( Y, Z ) ) ),
% 1.13/1.51 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.13/1.51 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ) ) ],
% 1.13/1.51 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.13/1.51 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.13/1.51 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.13/1.51 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.13/1.51 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.13/1.51 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.13/1.51 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.13/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.13/1.51 Y, Z ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Z,
% 1.13/1.51 'tc_bool' ) ), U ), X ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.13/1.51 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.13/1.51 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.13/1.51 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( 'c_COMBK'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Collect'( Y ), T ) ), X, Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.13/1.51 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.13/1.51 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.13/1.51 , =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OSup__fin'( Z, T, U ) )
% 1.13/1.51 , 'c_Finite__Set_Olattice_OSup__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.13/1.51 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.13/1.51 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.13/1.51 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.13/1.51 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.13/1.51 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.13/1.51 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.13/1.51 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, U ) ) ],
% 1.13/1.51 [ =( 'c_Finite__Set_Olattice_OInf__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.13/1.51 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'( T, U, W, V0, X, V1, V2, V3, Z )
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.13/1.51 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.13/1.51 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 1.13/1.51 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.13/1.51 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.13/1.51 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( 't_a'
% 1.13/1.51 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.13/1.51 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.13/1.51 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ), hAPP( hAPP(
% 1.13/1.51 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( 't_a'
% 1.13/1.51 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ) ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.51 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ),
% 1.13/1.51 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.13/1.51 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.51 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.13/1.51 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 1.13/1.51 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 1.13/1.51 ), Z ), U ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 1.13/1.51 ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.13/1.51 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.13/1.51 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 1.13/1.51 =( Y, T ) ],
% 1.13/1.51 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 1.13/1.51 =( X, T ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ) ), U ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ ~( =( 'c_Product__Type_OSigma'( X, hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), Z ), T ), Z, Y ), 'c_Product__Type_OSigma'( U, hAPP(
% 1.13/1.51 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), Z ), T ), Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( Y ), W ), T ) ) ), =( X, U ) ],
% 1.13/1.51 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.13/1.51 , Z, V2, Y ) ) ],
% 1.13/1.51 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.13/1.51 , V2, Z, Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.13/1.51 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.13/1.51 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X ), U ), Y ) )
% 1.13/1.51 ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.13/1.51 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ],
% 1.13/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.13/1.51 [ =( 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_prod'( Y, X ) )
% 1.13/1.51 , 'tc_fun'( X, Z ), Y ), hAPP( 'c_COMBB'( 'tc_prod'( Y, X ), Z, X ), T )
% 1.13/1.51 ), 'c_Pair'( Y, X ) ), Y, X, Z ), T ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X )
% 1.13/1.51 , Y ), X ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ),
% 1.13/1.51 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ) )
% 1.13/1.51 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.13/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.13/1.51 'tc_bool' ) ) ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.13/1.51 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( 'c_Collect'( Z ), X ) ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), X ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ), Z ), hAPP(
% 1.13/1.51 'c_COMBK'( X, Y ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.13/1.51 T ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.13/1.51 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.13/1.51 , Z ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'( hAPP(
% 1.13/1.51 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.13/1.51 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Y ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Y ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Y ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( 'tc_prod'( U, X ) ), hAPP( hAPP( 'c_Pair'( U, X ), T ), Y )
% 1.13/1.51 ), 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP( 'c_Pair'( X, T ), Y ), U ) ),
% 1.13/1.51 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.13/1.51 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_COMBK'( X, Y ), Z ), T ), Z ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ),
% 1.13/1.51 =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.13/1.51 X ), Y ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.13/1.51 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.13/1.51 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , T ), Z ) ) ) ) ],
% 1.13/1.51 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( T
% 1.13/1.51 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ), U ) ), W ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( T,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ), W ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), T ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 1.13/1.51 , 'c_List_Olist_ONil'( X ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 1.13/1.51 , 'c_List_Olist_ONil'( X ) ) ],
% 1.13/1.51 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Z ), T ) ) ), =( hAPP( T, U ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 1.13/1.51 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 1.13/1.51 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ), Z ), T ) )
% 1.13/1.51 , hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ) ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.13/1.51 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.13/1.51 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a',
% 1.13/1.51 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ) ), T ), T ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), Y ) ],
% 1.13/1.51 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.13/1.51 Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.13/1.51 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.13/1.51 'c_Orderings_Oorder'( V0, U, W ) ) ],
% 1.13/1.51 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Z ), T ) ) ), =( hAPP( T, U ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y,
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), 'c_Orderings_Oord__class_OLeast'( Y, X ) ), Z ) ),
% 1.13/1.51 ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.13/1.51 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Omono'( U, W, X ), Y ) ) ), ~(
% 1.13/1.51 'c_Orderings_Oorder'( U, V0, W ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.13/1.51 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ), Y ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.13/1.51 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.13/1.51 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.13/1.51 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.13/1.51 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ) ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.13/1.51 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( 'c_Product__Type_Oscomp'( hAPP( 'c_Pair'( X, Y ), Z ), T, Y, X, Y,
% 1.13/1.51 U ), hAPP( T, Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ) ) ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.13/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.13/1.51 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.13/1.51 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ), Y ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 Z ) ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 1.13/1.51 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 1.13/1.51 ), U ) ) ],
% 1.13/1.51 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.13/1.51 Y, X ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.13/1.51 Y, X ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( Y, Z ), T ) ),
% 1.13/1.51 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( U, Z ) ),
% 1.13/1.51 hAPP( U, T ) ) ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( Y
% 1.13/1.51 , W, X ), U ) ) ), ~( 'c_Orderings_Olinorder'( V0, Y, W ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.13/1.51 'c_Orderings_Olinorder'( V0, U, W ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.13/1.51 ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), hAPP(
% 1.13/1.51 hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), W ), T ), U ) ) ), =( hAPP( Z, V0 )
% 1.13/1.51 , hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Pair'( X, X ), V0 ), U ) ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP(
% 1.13/1.51 'c_Lambda_OdB_OApp', Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Type_Otyping', X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Type_Otyping', X ), Y ), 'c_Type_Otype_OFun'( U, T ) ) ) ) ],
% 1.13/1.51 [ =( 'c_Finite__Set_Olattice_OSup__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.13/1.51 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'( U, T, W, V0, V1, X, V2, V3, Z )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ) ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.13/1.51 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.51 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.13/1.51 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.51 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.13/1.51 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 1.13/1.51 'c_List_Olist_ONil'( Z ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( T
% 1.13/1.51 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ), U ) ), W ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( T,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ), W ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 1.13/1.51 X, T ) ) ],
% 1.13/1.51 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 1.13/1.51 , T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.13/1.51 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Y, Z ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , T ), Z ) ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.13/1.51 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.13/1.51 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.13/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.13/1.51 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.13/1.51 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.13/1.51 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.13/1.51 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.13/1.51 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( 't_a'
% 1.13/1.51 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.13/1.51 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.13/1.51 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ), hAPP( hAPP(
% 1.13/1.51 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( 't_a'
% 1.13/1.51 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 ) ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 Y ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ),
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X
% 1.13/1.51 ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X ) ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ),
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ) ), 'c_HOL_Ouminus__class_Ouminus'( X
% 1.13/1.51 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP(
% 1.13/1.51 'c_COMBC'( X, X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.13/1.51 , X ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.13/1.51 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.13/1.51 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.13/1.51 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.13/1.51 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' )
% 1.13/1.51 , 'c_in'( X ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' )
% 1.13/1.51 , 'tc_bool' ), 'c_in'( X ) ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( hAPP(
% 1.13/1.51 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.13/1.51 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.13/1.51 X, Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 X, Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.13/1.51 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.13/1.51 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.13/1.51 'c_Collect'( Z ), X ) ) ) ) ],
% 1.13/1.51 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.13/1.51 'c_List_Olist_ONil'( Y ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.51 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), X ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X ), Z ), hAPP(
% 1.13/1.51 'c_COMBK'( X, Y ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( Z, T ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_HOL_Oinduct__forall'( X, Z ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.13/1.51 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.13/1.51 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ) ), =( Y,
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.13/1.51 U, W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), T ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.13/1.51 U, W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Product__Type_Oscomp'( X, Y, Z, T, U, W ), V0 ), hAPP(
% 1.13/1.51 'c_split'( Y, T, U, W ), hAPP( X, V0 ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ) )
% 1.13/1.51 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.13/1.51 ), T ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.13/1.51 ), Z ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.13/1.51 ), T ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.13/1.51 ), Z ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.13/1.51 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ), =( Z,
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_fequal'( X ) ), Y ) ) ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool'
% 1.13/1.51 , X ), 'c_Not' ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( 'c_Collect'( X ), Y ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), T ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ), =( hAPP( T, U ), 'c_Orderings_Otop__class_Otop'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.13/1.51 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.13/1.51 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.13/1.51 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.13/1.51 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.13/1.51 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), W ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.13/1.51 ), 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ), U ) ), W ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.13/1.51 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ) ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.13/1.51 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.13/1.51 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a',
% 1.13/1.51 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ),
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ) ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.13/1.51 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.13/1.51 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.13/1.51 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.13/1.51 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.13/1.51 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.13/1.51 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.13/1.51 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.13/1.51 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 1.13/1.51 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 1.13/1.51 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.13/1.51 ), U ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), hAPP( U, Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.13/1.51 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.51 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, 'c_Fun_Oid'( Y ) ), Z ), Z ), ~( hBOOL(
% 1.13/1.51 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, U ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.13/1.51 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.13/1.51 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.13/1.51 X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( Y, Z ) ) ) ), ~( hBOOL(
% 1.13/1.51 'c_Record_Oiso__tuple__update__accessor__cong__assist'( U, Y, W, V0 ) ) )
% 1.13/1.51 , =( hAPP( hAPP( U, X ), Z ), hAPP( hAPP( U, T ), Z ) ) ],
% 1.13/1.51 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~( hBOOL(
% 1.13/1.51 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ) )
% 1.13/1.51 , =( hAPP( hAPP( T, X ), Z ), Z ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), Z ) ), T ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), T ), U ), W ), hAPP( U
% 1.13/1.51 , hAPP( T, W ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.13/1.51 Z ) ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.13/1.51 Z ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OInf__fin'( Z, T, U ) )
% 1.13/1.51 , 'c_Finite__Set_Olattice_OInf__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.13/1.51 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.13/1.51 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.13/1.51 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.13/1.51 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.13/1.51 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.13/1.51 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.13/1.51 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.13/1.51 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, U ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.13/1.51 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ),
% 1.13/1.51 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ) )
% 1.13/1.51 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.13/1.51 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.13/1.51 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.13/1.51 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.13/1.51 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.13/1.51 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.13/1.51 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Y ), Z ), 'c_Fun_Oid'( Y ) ), Z )
% 1.13/1.51 ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, X, Y ), 'c_Fun_Oid'( X ) ), Z ), Z )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 1.13/1.51 =( Y, T ) ],
% 1.13/1.51 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 1.13/1.51 =( X, Z ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.13/1.51 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.13/1.51 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.13/1.51 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.13/1.51 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.13/1.51 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.13/1.51 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.13/1.51 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.13/1.51 , Z, V2, Y ) ) ],
% 1.13/1.51 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.13/1.51 , V2, Z, Y ) ) ],
% 1.13/1.51 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.13/1.51 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.51 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.13/1.51 ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.51 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.13/1.51 Z, Y ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.13/1.51 ) ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.13/1.51 ) ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.13/1.51 ) ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.13/1.51 ) ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( 'c_Fun_Ofcomp'( 't_a', X, Y ), Z ), T ), 'v_x' )
% 1.13/1.51 , hAPP( T, hAPP( Z, 'v_x' ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ) ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ) ), U ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( hAPP( Y, Z ), hAPP( Y, T ) )
% 1.13/1.51 ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) )
% 1.13/1.51 ), ~( 'c_Orderings_Olinorder'( V0, U, W ) ), =( Z, T ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), U ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.13/1.51 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.13/1.51 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.13/1.51 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ),
% 1.13/1.51 'c_Lattices_Obounded__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ) ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.13/1.51 , X ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.13/1.51 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.13/1.51 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.13/1.51 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.13/1.51 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.13/1.51 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.13/1.51 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ),
% 1.13/1.51 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ),
% 1.13/1.51 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.13/1.51 , Y ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.13/1.51 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.13/1.51 Y, X ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.13/1.51 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.13/1.51 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ) ) ],
% 1.13/1.51 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 1.13/1.51 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 1.13/1.51 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, X, W, Y, V0, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, X, W, V0, Y, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, W, X, Y, V0, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, W, X, V0, Y, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, X, W, Z, V0, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, X, W, V0, Z, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, W, X, Z, V0, V1 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.13/1.51 , U, W, X, V0, Z, V1 ) ) ],
% 1.13/1.51 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.13/1.51 V0 ), V1 ) ), =( W, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.13/1.51 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.13/1.51 V0 ), V1 ) ), =( V0, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.13/1.51 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.13/1.51 , V0, V1 ) ), =( U, hAPP( hAPP( T, U ), W ) ) ],
% 1.13/1.51 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.13/1.51 , V0, V1 ) ), =( W, hAPP( hAPP( T, U ), W ) ) ],
% 1.13/1.51 [ =( hAPP( X, 'c_Fun_Oid'( Y ) ), 'c_Fun_Oid'( Z ) ), ~( hBOOL(
% 1.13/1.51 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, Z ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.13/1.51 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.13/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 1.13/1.51 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.13/1.51 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 1.13/1.51 ), Z, X ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.13/1.51 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 1.13/1.51 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.13/1.51 'tc_bool' ) ) ), W ), X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.13/1.51 'tc_bool' ) ) ), X ), W ), Y ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 , T ), X ), Y ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 , X ), T ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBB'( X, X, Y ),
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ) ), Z ) ), T ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.13/1.51 Y, X ), Z ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 ), Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.13/1.51 ) ) ) ],
% 1.13/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 , U ), Y ), Z, T ) ) ],
% 1.13/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.13/1.51 , Y ), U ), Z, T ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.51 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.13/1.51 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), X ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.13/1.51 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y )
% 1.13/1.51 ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ),
% 1.13/1.51 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'(
% 1.13/1.51 'tc_prod'( X, Y ) ) ) ), 'c_Pair'( X, Y ) ) ) ), Z ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'(
% 1.13/1.51 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.51 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.13/1.51 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.13/1.51 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y ) ), 'tc_fun'( Y,
% 1.13/1.51 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), X ),
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.13/1.51 , 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'( 'tc_prod'( X, Y ) ) ) ),
% 1.13/1.51 'c_Pair'( X, Y ) ) ) ), T ) ) ), =( Z, T ) ],
% 1.13/1.51 [ =( 'c_Transitive__Closure_Ortranclp'(
% 1.13/1.51 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 1.13/1.51 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ), hAPP(
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), =( Y,
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 1.13/1.51 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 1.13/1.51 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 1.13/1.51 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.13/1.51 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.13/1.51 X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.51 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.13/1.51 Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ), Y ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( Y, Z ), T ) ),
% 1.13/1.51 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( U, Z ) ), hAPP( U, T ) )
% 1.13/1.51 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( W, V0, X ), U )
% 1.13/1.51 ) ), ~( 'c_Orderings_Olinorder'( Y, W, V0 ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.13/1.51 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( W, V0, X ), Y )
% 1.13/1.51 ) ), ~( 'c_Orderings_Olinorder'( U, W, V0 ) ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 1.13/1.51 Z ) ) ) ],
% 1.13/1.51 [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.13/1.51 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 1.13/1.51 ), T ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.13/1.51 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.13/1.51 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.51 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.13/1.51 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.13/1.51 X ), Y ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.13/1.51 , Z ) ), Y ) ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.13/1.51 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.13/1.51 , Z ) ), Y ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( 'c_Collect'( X )
% 1.13/1.51 , hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.13/1.51 ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.51 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.51 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_fequal'( X ) ), Y ) ) ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.13/1.51 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.13/1.51 hBOOL( hAPP( Z, Y ) ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.51 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.51 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.13/1.51 hBOOL( hAPP( Z,
% 1.13/1.51 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.13/1.51 , T, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), Z )
% 1.13/1.51 , Y ) ) ],
% 1.13/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.51 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T
% 1.13/1.51 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) )
% 1.13/1.51 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool'
% 1.13/1.51 ), X ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.13/1.51 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ),
% 1.13/1.51 hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.13/1.51 Y ) ), U ) ) ) ), Z ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.13/1.51 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.13/1.51 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 1.13/1.51 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 1.13/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.13/1.51 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.13/1.51 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.13/1.51 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.13/1.51 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.51 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.13/1.51 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 1.13/1.51 ) ), U ) ) ],
% 1.13/1.51 [ =( 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' )
% 1.13/1.51 , 'c_fequal'( X ) ), Y ), X ), Y ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.13/1.51 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.13/1.51 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.13/1.51 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.13/1.51 V0, V1, Z, Y, V2 ) ) ],
% 1.13/1.51 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.13/1.51 V0, V1, Y, Z, V2 ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.13/1.51 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.13/1.51 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.13/1.51 V2, V3, V4 ) ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.13/1.51 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.13/1.51 V2, V3, V4 ) ) ],
% 1.13/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.13/1.51 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.51 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.13/1.51 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.13/1.51 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.13/1.51 ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.13/1.51 X ), Y ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.13/1.51 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.13/1.51 , Y ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.13/1.51 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Z ), U ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.13/1.51 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.13/1.51 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 'c_in'( X ), Z ), U ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.13/1.51 ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( W,
% 1.13/1.51 'tc_bool' ) ), U ), X ), Z ) ) ) ],
% 1.13/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.13/1.51 , Y ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( W,
% 1.13/1.51 'tc_bool' ) ), Z ), T ), U ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.13/1.51 ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( W,
% 1.13/1.51 'tc_bool' ) ), U ), X ), Z ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.51 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 ), T ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.13/1.51 Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.51 'c_fequal'( X ) ), Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.13/1.51 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ), hAPP(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ) ), =( Y,
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.13/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.13/1.51 'c_Orderings_Oorder_Omono'( Y, Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.13/1.51 'c_Orderings_Oorder_Ostrict__mono'( U, Z, X ), T ) ) ), ~(
% 1.13/1.51 'c_Orderings_Oorder'( Y, U, Z ) ) ],
% 1.13/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.13/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.13/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.51 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.51 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), T ) ), U ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.51 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.13/1.51 'tc_fun'( Y, 'tc_bool' ) ), Z ), U ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.51 'tc_bool' ) ), T ), U ) ) ) ],
% 1.13/1.51 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.51 X, 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.13/1.51 , 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( X ) ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), Y ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.13/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.13/1.51 ) ],
% 1.13/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.13/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.13/1.51 , Y ), U ), W ) ) ), =( Z, U ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.13/1.51 , Y ), U ), W ) ) ), =( T, W ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.13/1.51 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.13/1.51 ,
% 1.13/1.51 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 1.13/1.51 ) ],
% 1.13/1.51 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.51 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~(
% 1.13/1.51 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.13/1.51 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.13/1.51 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.13/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.51 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), U ), Y ) ), hAPP( hAPP(
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( X,
% 1.13/1.51 'tc_bool' ) ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) )
% 1.13/1.51 ) ],
% 1.13/1.51 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 1.13/1.51 Z ) ) ) ],
% 1.13/1.51 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 1.13/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, T ) ), hAPP(
% 1.13/1.51 hAPP( 'c_Pair'( Z, T ), U ), Y ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.13/1.51 'tc_prod'( Z, T ) ), hAPP( hAPP( 'c_Pair'( Z, T ), U ), X ) ), W ) ) ),
% 1.13/1.51 ~( hBOOL( 'c_Relation_Osingle__valued'( W, Z, T ) ) ) ],
% 1.13/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.13/1.51 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.13/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.13/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_COMBC'( X, X,
% 1.13/1.51 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ) ),
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.13/1.52 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.13/1.52 , X ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), T ), U ) ), W ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.13/1.52 ), 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ) ), U ) ), W ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , Z ), T ) ), U ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ), Z ), U ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), T ), U ) ) ) ],
% 1.13/1.52 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.13/1.52 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 1.13/1.52 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.13/1.52 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 1.13/1.52 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.13/1.52 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 1.13/1.52 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.13/1.52 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.13/1.52 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ), =( Z,
% 1.13/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.13/1.52 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ) ), Z ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( T, U ), W )
% 1.13/1.52 ) ), ~( hBOOL( hAPP( hAPP( Z, U ), W ) ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Product__Type_Oscomp'( X, Y, 't_a', Z, T, U ), 'v_x' ),
% 1.13/1.52 hAPP( 'c_split'( Y, Z, T, U ), hAPP( X, 'v_x' ) ) ) ],
% 1.13/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.13/1.52 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 1.13/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.13/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.13/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.13/1.52 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 1.13/1.52 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_fequal'( X ), Y ) ), hAPP( hAPP(
% 1.13/1.52 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.52 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.13/1.52 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.13/1.52 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.13/1.52 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.13/1.52 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.13/1.52 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.13/1.52 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.13/1.52 ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.52 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , Y ) ), U ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ) ) ],
% 1.13/1.52 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 1.13/1.52 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.13/1.52 ), U ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ), hAPP( U, Z ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), T ), U ) ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ), Y ) ],
% 1.13/1.52 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.13/1.52 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.13/1.52 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.13/1.52 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), hAPP( hAPP( 'c_Fun_Ofcomp'(
% 1.13/1.52 X, T, Y ), U ), W ) ), V0 ), hAPP( hAPP( 'c_Fun_Ofcomp'( X, T, Z ), U ),
% 1.13/1.52 hAPP( hAPP( 'c_Fun_Ofcomp'( T, Y, Z ), W ), V0 ) ) ) ],
% 1.13/1.52 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.13/1.52 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.13/1.52 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.13/1.52 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.13/1.52 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.13/1.52 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.13/1.52 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.13/1.52 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.13/1.52 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 1.13/1.52 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.13/1.52 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.13/1.52 Z ), Y ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.13/1.52 [ 'c_Orderings_Olinorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.13/1.52 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Olinorder'( Y, Z
% 1.13/1.52 , X ) ) ],
% 1.13/1.52 [ =( 'c_The'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X )
% 1.13/1.52 ), Y ), X ), Y ) ],
% 1.13/1.52 [ 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.13/1.52 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, X ), ~(
% 1.13/1.52 'c_Lattices_Odistrib__lattice'( Y, Z, U, T, X ) ) ],
% 1.13/1.52 [ 'c_Lattices_Obounded__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.13/1.52 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, W, V0, X ), ~(
% 1.13/1.52 'c_Lattices_Obounded__lattice'( Y, Z, U, T, V0, W, X ) ) ],
% 1.13/1.52 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, hAPP( 'c_COMBC'( Z, Z
% 1.13/1.52 , 'tc_bool' ), T ), hAPP( 'c_COMBC'( Z, Z, 'tc_bool' ), U ), W, V0, V1,
% 1.13/1.52 V2, Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, T, U, V0, W,
% 1.13/1.52 V2, V1, Z ) ) ],
% 1.13/1.52 [ 'c_Orderings_Oorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.13/1.52 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Oorder'( Y, Z, X
% 1.13/1.52 ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), 'c_Product__Type_Oscomp'( T
% 1.13/1.52 , U, X, W, V0, Y ) ), V1 ), 'c_Product__Type_Oscomp'( T, hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( W, 'tc_fun'( Y, Z ), 'tc_fun'( V0, Z ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( V0, Y ), 'tc_fun'( 'tc_fun'( Y, Z ), 'tc_fun'( V0, Z
% 1.13/1.52 ) ), W ), 'c_Fun_Ofcomp'( V0, Y, Z ) ), U ) ), V1 ), X, W, V0, Z ) ) ]
% 1.13/1.52 ,
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.52 'c_fequal'( X ) ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.13/1.52 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.13/1.52 'c_List_Ofilter'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ),
% 1.13/1.52 'c_and' ), Y ) ), X ), Z, T ) ) ],
% 1.13/1.52 [ hBOOL( 'c_HOL_Oinduct__forall'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), X ), 'c_HOL_Oinduct__conj' ), Y ) ), Z ), X ) ), ~( hBOOL(
% 1.13/1.52 hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( Y, X ) ),
% 1.13/1.52 'c_HOL_Oinduct__forall'( Z, X ) ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( X,
% 1.13/1.52 Y ) ), 'c_HOL_Oinduct__forall'( Z, Y ) ) ), ~( hBOOL(
% 1.13/1.52 'c_HOL_Oinduct__forall'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.13/1.52 , 'c_HOL_Oinduct__conj' ), X ) ), Z ), Y ) ) ) ],
% 1.13/1.52 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.13/1.52 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.13/1.52 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.13/1.52 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.13/1.52 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.13/1.52 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.13/1.52 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.52 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.13/1.52 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 X, Y, 'tc_bool' ), T ),
% 1.13/1.52 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.13/1.52 , T, Y, X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y
% 1.13/1.52 ), Z ), Y ) ) ],
% 1.13/1.52 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( X
% 1.13/1.52 , Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( W
% 1.13/1.52 , Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.13/1.52 'c_FunDef_OTHE__default'( U ) ), V0 ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.52 X, Y ), hAPP( W, Y ) ) ) ) ],
% 1.13/1.52 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X,
% 1.13/1.52 Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP(
% 1.13/1.52 hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T
% 1.13/1.52 ), 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.13/1.52 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.13/1.52 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.13/1.52 X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.13/1.52 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'( T
% 1.13/1.52 , 'tc_bool' ), T ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), T ), Z ), 'c_FunDef_OTHE__default'( T ) ), U ) ), X ), Y ) )
% 1.13/1.52 ), hBOOL( hAPP( hAPP( X, Y ),
% 1.13/1.52 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X, Y, W, Z,
% 1.13/1.52 T ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), W ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( X, Y ),
% 1.13/1.52 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z, T, U ) )
% 1.13/1.52 ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP( X, Y ),
% 1.13/1.52 hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.13/1.52 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.13/1.52 [ =( hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), T ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), T ), Z ), 'c_FunDef_OTHE__default'( T ) ), U ) ), W ), Y ) )
% 1.13/1.52 , ~( hBOOL( hAPP( hAPP( W, Y ), hAPP( X, Y ) ) ) ), hBOOL( hAPP( hAPP( W
% 1.13/1.52 , Y ), 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( W, Y
% 1.13/1.52 , V0, Z, T ) ) ), ~( hBOOL( hAPP( hAPP( W, Y ), V0 ) ) ) ],
% 1.13/1.52 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.13/1.52 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ), hAPP( hAPP( 'c_COMBB'( U,
% 1.13/1.52 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), 'c_FunDef_OTHE__default'( U
% 1.13/1.52 ) ), W ) ), X ), Y ), V0 ), ~( hBOOL( hAPP( hAPP( X, Y ), V0 ) ) ) ]
% 1.13/1.52 ,
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( Y, 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), Y ), X ),
% 1.13/1.52 'c_FunDef_OTHE__default'( Y ) ), Z ) ), T ), U ), hAPP( Z, U ) ), hBOOL(
% 1.13/1.52 hAPP( W, U ) ), ~( hBOOL( hAPP( W,
% 1.13/1.52 'c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1'( W, T, X, Y )
% 1.13/1.52 ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( Y, 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), Y ), X ),
% 1.13/1.52 'c_FunDef_OTHE__default'( Y ) ), Z ) ), T ), U ), W ), ~( hBOOL( hAPP(
% 1.13/1.52 hAPP( T, U ), W ) ) ), hBOOL( hAPP( hAPP( T, U ),
% 1.13/1.52 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( T, U, V0, X, Y ) )
% 1.13/1.52 ), ~( hBOOL( hAPP( hAPP( T, U ), V0 ) ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), X ), 'c_implies' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.13/1.52 'c_Collect'( X ), Y ) ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_FunDef_OTHE__default'( 't_a' ), 'v_d' ), 'v_P' ),
% 1.13/1.52 'c_HOL_OIf'( hAPP( 'c_Ex'( 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a',
% 1.13/1.52 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.13/1.52 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool'
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.13/1.52 't_a' ), 'c_implies' ), 'v_P' ) ) ), hAPP( 'c_COMBC'( 't_a', 't_a',
% 1.13/1.52 'tc_bool' ), 'c_fequal'( 't_a' ) ) ) ) ) ), 'c_The'( 'v_P', 't_a' ),
% 1.13/1.52 'v_d', 't_a' ) ) ],
% 1.13/1.52 [ =( 'c_Transitive__Closure_Ortranclp'( hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ) ), Y ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X )
% 1.13/1.52 , 'c_Not' ) ), 'c_fequal'( X ) ) ), X ),
% 1.13/1.52 'c_Transitive__Closure_Ortranclp'( Y, X ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.13/1.52 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 1.13/1.52 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 1.13/1.52 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.13/1.52 ), X ), Y ) ],
% 1.13/1.52 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 1.13/1.52 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 1.13/1.52 X, T ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_Olift'( X, Y ) ), Z
% 1.13/1.52 ), Y ), X ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), hAPP( 'c_Collect'( Y ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', Y ), 'c_All'( X ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.52 ), Y ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.13/1.52 'c_in'( X ) ), Z ) ) ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_fun'(
% 1.13/1.52 Y, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ) ), 'c_in'( Y ) ) ), T ) ) ) ) )
% 1.13/1.52 ],
% 1.13/1.52 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.52 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ), hAPP(
% 1.13/1.52 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.52 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.13/1.52 'c_in'( X ) ), Y ) ) ) ), 'c_lessequals'( X ) ) ) ) ) ) ],
% 1.13/1.52 [ =( 'c_Predicate_OPowp'( X, 'v_B', 't_a' ), hAPP( 'c_All'( 't_a' ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.13/1.52 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.13/1.52 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_B' ) ) ), X ) ) ) ],
% 1.13/1.52 [ =( 'c_Relation_Otrans'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.13/1.52 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.13/1.52 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.13/1.52 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.13/1.52 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.13/1.52 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.13/1.52 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.13/1.52 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.13/1.52 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.13/1.52 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.13/1.52 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.13/1.52 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.13/1.52 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.13/1.52 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.13/1.52 't_a' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBC'(
% 1.13/1.52 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.13/1.52 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a'
% 1.13/1.52 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.13/1.52 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a',
% 1.13/1.52 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.13/1.52 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'(
% 1.13/1.52 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.13/1.52 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.13/1.52 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.13/1.52 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.13/1.52 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.13/1.52 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.13/1.52 ) ) ) ), 'v_r' ) ) ) ) ) ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.13/1.52 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ),
% 1.13/1.52 'c_Collect'( Y ) ), T ), X, Y ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.13/1.52 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.13/1.52 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.13/1.52 [ =( 'c_lessequals'( 'tc_bool' ), 'c_implies' ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ), ~(
% 1.13/1.52 'c_Lambda_Obeta'( T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping'
% 1.13/1.52 , X ), T ), Z ) ) ) ],
% 1.13/1.52 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X
% 1.13/1.52 ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 'c_Lambda_OdB_OVar'( Y
% 1.13/1.52 ) ), hAPP( X, Y ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 1.13/1.52 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 1.13/1.52 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ) ), ~(
% 1.13/1.52 hBOOL( 'c_List_Olistsp'( X, Z, T ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, Y
% 1.13/1.52 , T ) ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( hAPP( X,
% 1.13/1.52 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 1.13/1.52 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.13/1.52 'c_List_Oappend'( T, Y, Z ), Z ) ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.13/1.52 'c_List_Oappend'( Y, T, Z ), Z ) ) ) ],
% 1.13/1.52 [ 'c_Type_Otypings'( hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype'
% 1.13/1.52 ), 'v_e____' ), 'v_i____' ), 'v_T____' ), 'v_as____', 'v_Ts____' ) ]
% 1.13/1.52 ,
% 1.13/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.13/1.52 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.13/1.52 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Z,
% 1.13/1.52 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'( Z ) ), U ) ) ) ), W ) ) )
% 1.13/1.52 ), V0 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.13/1.52 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.13/1.52 , Z ), 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( Y, 'tc_bool' ), Z ), hAPP( 'c_COMBS'( Y, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), V0 ) ) ) ), hAPP( 'c_COMBC'( Y,
% 1.13/1.52 Z, 'tc_bool' ), W ) ) ) ) ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) )
% 1.13/1.52 , ~( 'c_Finite__Set_Ofinite'( V0, Y ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), U ),
% 1.13/1.52 hAPP( Y, U ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.13/1.52 ), U ), Z ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_e____' ), 'v_u____' ),
% 1.13/1.52 'v_T____' ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_ea______' ),
% 1.13/1.52 'v_ua______' ), 'v_T____' ) ) ],
% 1.13/1.52 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.13/1.52 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.13/1.52 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, X ), 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.13/1.52 'tc_bool', Y ) ), 'c_fequal'( X ) ) ), Z ) ) ) ), T ) ) ), X ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.13/1.52 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.13/1.52 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ), hAPP(
% 1.13/1.52 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.52 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.13/1.52 'c_in'( X ) ), Y ) ) ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.52 'c_lessequals'( X ) ) ) ) ) ) ) ],
% 1.13/1.52 [ ~( 'class_HOL_Oord'( 't_a' ) ), =( 'c_Orderings_Oord__class_OLeast'(
% 1.13/1.52 'v_P', 't_a' ), 'c_The'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.13/1.52 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.13/1.52 ), 'c_implies' ), 'v_P' ) ) ), 'c_lessequals'( 't_a' ) ) ) ), 't_a' ) )
% 1.13/1.52 ],
% 1.13/1.52 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.52 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), U ) ) ), Z ) ) ), X ) )
% 1.13/1.52 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), U ), Y ) ) ],
% 1.13/1.52 [ 'c_Recdef_Oadm__wf'( X, hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ),
% 1.13/1.52 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y
% 1.13/1.52 , 'tc_fun'( Y, Z ) ), 'tc_fun'( 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ),
% 1.13/1.52 'tc_fun'( Y, Z ) ), 'c_COMBS'( Y, Y, Z ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_fun'( Y, Z ) ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ),
% 1.13/1.52 'tc_fun'( Y, Z ) ), hAPP( 'c_COMBB'( 'tc_fun'( Y, Z ), 'tc_fun'( Y, Z ),
% 1.13/1.52 Y ), T ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ), 'tc_fun'( 'tc_prod'(
% 1.13/1.52 Y, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ) ), 'c_Recdef_Ocut'(
% 1.13/1.52 Y, Z ) ), X ) ) ) ), 'c_COMBI'( Y ) ), Y, Z ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), Z ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP( 'c_COMBC'( X, Y, 'tc_bool' )
% 1.13/1.52 , Z ) ) ) ) ],
% 1.13/1.52 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.13/1.52 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.13/1.52 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.13/1.52 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.13/1.52 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.13/1.52 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.13/1.52 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.13/1.52 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBC'( V0, 'tc_fun'( U, W ), 'tc_fun'( U
% 1.13/1.52 , V0 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0 ), 'tc_fun'( 'tc_fun'( U
% 1.13/1.52 , W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W, V0, U ) ), X ) ), Z ), Y
% 1.13/1.52 , T, V0, U ) ) ],
% 1.13/1.52 [ =( 'c_Relation_Osingle__valued'( 'v_r', 't_a', 't_b' ), hAPP( 'c_All'(
% 1.13/1.52 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool',
% 1.13/1.52 't_a' ), 'c_All'( 't_b' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.13/1.52 't_b', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b',
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.13/1.52 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_b' ),
% 1.13/1.52 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.13/1.52 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.13/1.52 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.13/1.52 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.13/1.52 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.13/1.52 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.13/1.52 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.13/1.52 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.13/1.52 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool', 't_b' ), 'c_All'(
% 1.13/1.52 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_b', 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ), 't_a' )
% 1.13/1.52 , 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ),
% 1.13/1.52 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b',
% 1.13/1.52 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_b', 'tc_bool', 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 't_b' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b'
% 1.13/1.52 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.13/1.52 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a',
% 1.13/1.52 't_b' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.13/1.52 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'(
% 1.13/1.52 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.13/1.52 'c_fequal'( 't_b' ) ) ) ) ) ) ) ],
% 1.13/1.52 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.13/1.52 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.13/1.52 'v_x', 't_a' ) ) ) ],
% 1.13/1.52 [ =( 'c_Orderings_Oord_OLeast'( X, 'v_P', 't_a' ), 'c_The'( hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a'
% 1.13/1.52 ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a',
% 1.13/1.52 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ), 'v_P' ) ) ), X ) ) ),
% 1.13/1.52 't_a' ) ) ],
% 1.13/1.52 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.13/1.52 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.13/1.52 , Y ) ) ) ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.13/1.52 , Z, U, W, V0, V1, V2, V3, T ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.13/1.52 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.13/1.52 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 1.13/1.52 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 1.13/1.52 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 1.13/1.52 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 1.13/1.52 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 1.13/1.52 ) ) ), V0 ) ), T ) ) ],
% 1.13/1.52 [ =( 'c_Record_Oiso__tuple__update__accessor__cong__assist'( 'v_upd',
% 1.13/1.52 'v_acc', 't_a', 't_b' ), hAPP( hAPP( 'c_and', hAPP( 'c_All'( 'tc_fun'(
% 1.13/1.52 't_a', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ),
% 1.13/1.52 'tc_bool', 'tc_fun'( 't_a', 't_a' ) ), 'c_All'( 't_b' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.13/1.52 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'( 't_b'
% 1.13/1.52 , 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), 'c_COMBS'( 't_b', 't_b',
% 1.13/1.52 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.13/1.52 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP(
% 1.13/1.52 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'(
% 1.13/1.52 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'(
% 1.13/1.52 't_b', 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 't_b', 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 'tc_fun'( 't_b',
% 1.13/1.52 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ),
% 1.13/1.52 'c_COMBS'( 't_b', 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 't_b', 'tc_fun'( 't_a', 't_a' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.13/1.52 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.13/1.52 't_a' ), 'tc_fun'( 't_b', 't_b' ), 't_b' ), 'v_upd' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_b', 't_a' ), 'tc_fun'( 't_b', 'tc_fun'( 't_a',
% 1.13/1.52 't_a' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 't_a', 'tc_fun'(
% 1.13/1.52 't_a', 't_a' ), 't_b' ), 'c_COMBK'( 't_a', 't_a' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_a' ), 'tc_fun'(
% 1.13/1.52 't_b', 't_a' ) ), 'c_COMBB'( 't_a', 't_a', 't_b' ) ), 'v_acc' ) ) ) ) ),
% 1.13/1.52 'c_COMBI'( 't_b' ) ) ) ) ), 'v_upd' ) ) ) ), hAPP( 'c_All'( 't_b' ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBS'( 't_b', 't_b', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_b'
% 1.13/1.52 , 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'( 't_b' ) ), hAPP(
% 1.13/1.52 'v_upd', 'c_Fun_Oid'( 't_a' ) ) ) ), 'c_COMBI'( 't_b' ) ) ) ) ) ],
% 1.13/1.52 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_COMBS'(
% 1.13/1.52 Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( Y,
% 1.13/1.52 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y,
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP(
% 1.13/1.52 'c_COMBC'( X, Y, 'tc_bool' ), T ) ) ) ) ],
% 1.13/1.52 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.13/1.52 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.13/1.52 , Y ) ) ) ), hAPP( 'c_COMBC'( T, T, 'tc_bool' ), U ) ) ) ) ) ), ~(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.13/1.52 ) ],
% 1.13/1.52 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 1.13/1.52 ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.13/1.52 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X ), 'tc_fun'(
% 1.13/1.52 T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ) )
% 1.13/1.52 ), Y ) ) ) ), T ) ) ],
% 1.13/1.52 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.13/1.52 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.13/1.52 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, X ), 'c_Fun_Oid'( X ) ), hAPP(
% 1.13/1.52 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.13/1.52 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.52 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( U ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' )
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.13/1.52 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBS'( Y, 'tc_fun'( U, 'tc_bool' )
% 1.13/1.52 , 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.13/1.52 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.13/1.52 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ) ), X ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBS'( U,
% 1.13/1.52 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'(
% 1.13/1.52 U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), U ), 'c_and' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, X ) ), 'tc_fun'( Y, 'tc_fun'( U,
% 1.13/1.52 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( U, X ),
% 1.13/1.52 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, X ) ),
% 1.13/1.52 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBB'( 'tc_fun'( U, X
% 1.13/1.52 ), 'tc_fun'( U, 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, 'tc_bool' ) ), X )
% 1.13/1.52 , 'c_COMBB'( X, 'tc_bool', U ) ), 'c_fequal'( X ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ),
% 1.13/1.52 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ) ) ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( Y, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( U
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_bool', U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.13/1.52 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), V0 ) ) ) ) ) ) )
% 1.13/1.52 ), ~( 'c_Fun_Oinj__on'( 'c_split'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U
% 1.13/1.52 , X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.13/1.52 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ), Y, U, X ),
% 1.13/1.52 'c_Product__Type_OSigma'( T, hAPP( 'c_COMBK'( 'tc_fun'( U, 'tc_bool' ), Y
% 1.13/1.52 ), V0 ), Y, U ), 'tc_prod'( Y, U ), X ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OSup__fin'( Y, Z, T ) ),
% 1.13/1.52 'c_Finite__Set_Olattice_OSup__fin'( Y, U, T ) ),
% 1.13/1.52 'c_Finite__Set_Olattice_OSup__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.13/1.52 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.13/1.52 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.13/1.52 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.13/1.52 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.13/1.52 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.13/1.52 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.13/1.52 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.13/1.52 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.13/1.52 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.13/1.52 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.13/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.13/1.52 V0, X, Y, T ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OInf__fin'( Y, Z, T ) ),
% 1.13/1.52 'c_Finite__Set_Olattice_OInf__fin'( Y, U, T ) ),
% 1.13/1.52 'c_Finite__Set_Olattice_OInf__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.13/1.52 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.13/1.52 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.13/1.52 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.13/1.52 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.13/1.52 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.13/1.52 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.13/1.52 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.13/1.52 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.13/1.52 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.13/1.52 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.13/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.13/1.52 V0, Y, X, T ) ) ],
% 1.13/1.52 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.52 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.13/1.52 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.13/1.52 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.52 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.13/1.52 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.13/1.52 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.13/1.52 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.13/1.52 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.13/1.52 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ) ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.13/1.52 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.13/1.52 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.13/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.52 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.13/1.52 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.13/1.52 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.13/1.52 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.13/1.52 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.13/1.52 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.13/1.52 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.13/1.52 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.13/1.52 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.13/1.52 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X ) ) ) ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.13/1.52 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.13/1.52 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.13/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.13/1.52 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.13/1.52 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.13/1.52 , X ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.13/1.52 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.13/1.52 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( X, 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBC'( T, X,
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ),
% 1.13/1.52 'c_lessequals'( X ) ), Y ) ) ), Y ) ) ) ), T ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.13/1.52 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 1.13/1.52 'c_InductTermi_OIT', X ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), Y ), Z ) ), 'c_Lambda_Olift'( T
% 1.13/1.52 , Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), T ), U
% 1.13/1.52 ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_Collect'( X ), Z )
% 1.13/1.52 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.13/1.52 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), X ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_bool', X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.13/1.52 'c_fequal'( X ) ), Y ) ) ) ), Z ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.13/1.52 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.13/1.52 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.13/1.52 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.13/1.52 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.13/1.52 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.13/1.52 ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'(
% 1.13/1.52 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' )
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.13/1.52 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_lessequals'( 't_b' ) ),
% 1.13/1.52 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.13/1.52 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.13/1.52 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.13/1.52 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.13/1.52 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.13/1.52 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.13/1.52 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.13/1.52 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.13/1.52 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.13/1.52 ), 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.13/1.52 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), W ), V0 ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Y ), hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), W ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, 'tc_fun'( X
% 1.13/1.52 , 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( U,
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.13/1.52 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.13/1.52 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), W ), V0 ) ), hAPP( hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Y ), hAPP(
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ), W ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, 'tc_fun'( X
% 1.13/1.52 , 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( U,
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.13/1.52 ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.13/1.52 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.13/1.52 'c_Orderings_Oorder_Ostrict__mono'( Y, Z, X ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', 'tc_fun'( Z, X ) ), 'c_All'( Z ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 Z, 'tc_bool' ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBS'( Z, 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' )
% 1.13/1.52 , 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), Z ), 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 'tc_fun'( Z, X ), 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.13/1.52 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ),
% 1.13/1.52 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'(
% 1.13/1.52 Z, 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.13/1.52 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.13/1.52 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Oord__class_Oless'( X ) ) ) ) ),
% 1.13/1.52 'c_COMBI'( 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( T, Y, Z
% 1.13/1.52 ) ) ],
% 1.13/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Oorder_Omono'( Y,
% 1.13/1.52 Z, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool',
% 1.13/1.52 'tc_fun'( Z, X ) ), 'c_All'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.13/1.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, X ) )
% 1.13/1.52 , hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z )
% 1.13/1.52 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP(
% 1.13/1.52 'c_COMBS'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.13/1.52 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Z ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ),
% 1.13/1.52 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'( Z, X ),
% 1.13/1.52 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'( Z, 'tc_fun'( Z, X ),
% 1.13/1.52 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ),
% 1.13/1.52 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.13/1.52 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.13/1.52 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_lessequals'( X ) ) ) ) ), 'c_COMBI'(
% 1.13/1.52 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( Y, T, Z ) ) ],
% 1.13/1.52 [ 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.13/1.52 , X ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X )
% 1.13/1.52 ), Y ) ), Z ), Z, hAPP( 'c_COMBC'( X, X, 'tc_bool' ), T ), hAPP(
% 1.13/1.52 'c_COMBC'( X, X, 'tc_bool' ), U ), Y, W, V0, V1, X ), ~(
% 1.13/1.52 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y, V1, V0, X ) ) ],
% 1.13/1.52 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 1.13/1.52 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 1.13/1.52 ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), Y ) ) ), ~(
% 1.13/1.52 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 1.13/1.52 ), U ), Y ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 1.13/1.52 ) ],
% 1.13/1.52 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 1.13/1.52 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 1.13/1.52 ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), X ) ) ), ~(
% 1.13/1.52 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 1.13/1.52 ), U ), X ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 1.13/1.52 ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), 'c_InductTermi_OIT'
% 1.13/1.52 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.13/1.52 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.13/1.52 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.13/1.52 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.13/1.52 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.13/1.52 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.13/1.52 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.13/1.52 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.13/1.52 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.13/1.52 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.13/1.52 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.13/1.52 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.13/1.52 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.13/1.52 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.13/1.52 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.13/1.52 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.13/1.52 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ),
% 1.13/1.52 'v_rs____', 'tc_Lambda_OdB' ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), Z ), T
% 1.13/1.52 ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.13/1.52 hAPP( U, W ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.13/1.52 T, W ), U ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.13/1.52 T, W ), hAPP( U, W ) ) ) ],
% 1.13/1.52 [ ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ) ), ~(
% 1.13/1.52 hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), T ), Z ) ), U ), W ) ) ), hBOOL(
% 1.13/1.52 hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Lambda_Osubst', U ), Y ), T ) ), W ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_ea______' ),
% 1.13/1.52 'v_ua______' ), 'v_T____' ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.13/1.52 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_ea______' ), 'v_ia______' ),
% 1.13/1.52 'v_T____' ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 1.13/1.52 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 1.13/1.52 'v_T_Ha______' ) ) ],
% 1.13/1.52 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.13/1.52 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), 'c_InductTermi_OIT'
% 1.13/1.52 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.13/1.52 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.13/1.52 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.13/1.52 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.13/1.52 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.13/1.52 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.13/1.52 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.13/1.52 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.13/1.52 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.13/1.52 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.13/1.52 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.13/1.52 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.13/1.52 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.13/1.52 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.13/1.52 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.13/1.52 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.13/1.52 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ),
% 1.13/1.52 'v_rs____', 'tc_Lambda_OdB' ) ) ],
% 1.13/1.52 [ ~( hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ),
% 1.13/1.52 'c_All'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.13/1.52 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.13/1.52 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.13/1.52 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.13/1.52 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.13/1.52 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.13/1.52 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.13/1.52 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.13/1.52 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.13/1.52 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.13/1.52 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.13/1.52 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.13/1.52 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.13/1.52 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.13/1.52 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.13/1.52 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.13/1.52 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.13/1.52 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.13/1.52 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.13/1.52 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.13/1.52 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.13/1.52 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.13/1.52 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.13/1.52 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.13/1.52 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.13/1.52 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.13/1.52 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.13/1.52 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.13/1.52 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.13/1.52 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.52 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.13/1.52 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.13/1.52 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.13/1.52 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.13/1.52 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.13/1.52 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.13/1.52 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ), 'v_as____'
% 1.13/1.52 , 'tc_Lambda_OdB' ) ) ) ],
% 1.13/1.52 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.13/1.52 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.13/1.52 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.13/1.52 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.13/1.52 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Lattices_Olattice'( Y ) ) ],
% 1.13/1.52 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Lattices_Olattice'( Y ) ) ],
% 1.13/1.52 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.13/1.52 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.13/1.52 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.13/1.52 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.13/1.52 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.13/1.52 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Orderings_Opreorder'( Y ) ) ],
% 1.13/1.52 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Lattices_Olattice'( Y ) ) ],
% 1.13/1.52 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.52 'class_Orderings_Oorder'( Y ) ) ],
% 1.13/1.52 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.13/1.52 Y ) ) ],
% 1.13/1.52 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.13/1.52 Y ) ) ],
% 1.13/1.52 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 1.13/1.52 ],
% 1.13/1.52 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.13/1.52 ,
% 1.13/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Orderings_Owellorder'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.13/1.52 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 1.13/1.52 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.13/1.52 T, W ), hAPP( U, W ) ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.13/1.52 T, W ), U ) ) ],
% 1.13/1.52 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.13/1.52 hAPP( U, W ) ) ) ],
% 1.13/1.52 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.13/1.52 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.13/1.52 ] .
% 1.13/1.52
% 1.13/1.52
% 1.13/1.52 percentage equality = 0.357046, percentage horn = 0.904286
% 1.13/1.52 This is a problem with some equality
% 1.13/1.52
% 1.13/1.52
% 1.13/1.52
% 1.13/1.52 Options Used:
% 1.13/1.52
% 1.13/1.52 useres = 1
% 1.13/1.52 useparamod = 1
% 1.13/1.52 useeqrefl = 1
% 1.13/1.52 useeqfact = 1
% 1.13/1.52 usefactor = 1
% 1.13/1.52 usesimpsplitting = 0
% 1.13/1.52 usesimpdemod = 5
% 1.13/1.52 usesimpres = 3
% 1.13/1.52
% 1.13/1.52 resimpinuse = 1000
% 1.13/1.52 resimpclauses = 20000
% 1.13/1.52 substype = eqrewr
% 1.13/1.52 backwardsubs = 1
% 1.13/1.52 selectoldest = 5
% 1.13/1.52
% 1.13/1.52 litorderings [0] = split
% 1.13/1.52 litorderings [1] = extend the termordering, first sorting on arguments
% 1.13/1.52
% 1.13/1.52 termordering = kbo
% 1.13/1.52
% 1.13/1.52 litapriori = 0
% 1.13/1.52 termapriori = 1
% 1.13/1.52 litaposteriori = 0
% 1.13/1.52 termaposteriori = 0
% 1.13/1.52 demodaposteriori = 0
% 1.13/1.52 ordereqreflfact = 0
% 1.13/1.52
% 1.13/1.52 litselect = negord
% 1.13/1.52
% 1.13/1.52 maxweight = 15
% 1.13/1.52 maxdepth = 30000
% 1.13/1.52 maxlength = 115
% 1.13/1.52 maxnrvars = 195
% 1.13/1.52 excuselevel = 1
% 1.13/1.52 increasemaxweight = 1
% 1.13/1.52
% 1.13/1.52 maxselected = 10000000
% 1.13/1.52 maxnrclauses = 10000000
% 1.13/1.52
% 1.13/1.52 showgenerated = 0
% 1.13/1.52 showkept = 0
% 1.13/1.52 showselected = 0
% 1.13/1.52 showdeleted = 0
% 1.13/1.52 showresimp = 1
% 1.13/1.52 showstatus = 2000
% 1.13/1.52
% 1.13/1.52 prologoutput = 1
% 1.13/1.52 nrgoals = 5000000
% 1.13/1.52 totalproof = 1
% 1.13/1.52
% 1.13/1.52 Symbols occurring in the translation:
% 1.13/1.52
% 1.13/1.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.13/1.52 . [1, 2] (w:1, o:194, a:1, s:1, b:0),
% 1.13/1.52 ! [4, 1] (w:0, o:136, a:1, s:1, b:0),
% 1.13/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.52 'tc_bool' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.13/1.52 'tc_fun' [42, 2] (w:1, o:219, a:1, s:1, b:0),
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [43, 2] (w:1
% 1.13/1.52 , o:220, a:1, s:1, b:0),
% 1.13/1.52 hAPP [45, 2] (w:1, o:221, a:1, s:1, b:0),
% 1.13/1.52 'c_Orderings_Obot__class_Obot' [47, 1] (w:1, o:141, a:1, s:1, b:0),
% 1.13/1.52 'c_in' [49, 1] (w:1, o:142, a:1, s:1, b:0),
% 1.13/1.52 hBOOL [50, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.13/1.52 'class_Orderings_Olinorder' [51, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.13/1.52 'class_Orderings_Oorder' [52, 1] (w:1, o:145, a:1, s:1, b:0),
% 1.13/1.52 'c_lessequals' [53, 1] (w:1, o:146, a:1, s:1, b:0),
% 1.13/1.52 'c_Orderings_Oorder__class_Ostrict__mono' [56, 3] (w:1, o:240, a:1
% 1.13/1.52 , s:1, b:0),
% 1.13/1.52 'c_HOL_Oord__class_Oless' [57, 1] (w:1, o:147, a:1, s:1, b:0),
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [58, 2] (w:1
% 1.13/1.52 , o:222, a:1, s:1, b:0),
% 1.13/1.52 'c_COMBB' [59, 3] (w:1, o:241, a:1, s:1, b:0),
% 1.13/1.52 'c_Set_Oinsert' [60, 1] (w:1, o:148, a:1, s:1, b:0),
% 1.13/1.52 'c_Lambda_OdB_OApp' [63, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.13/1.52 'c_Lambda_Olift' [67, 2] (w:1, o:223, a:1, s:1, b:0),
% 1.13/1.52 'class_Lattices_Odistrib__lattice' [68, 1] (w:1, o:149, a:1, s:1, b:0
% 1.13/1.52 ),
% 1.13/1.52 'c_Lattices_Oupper__semilattice__class_Osup' [69, 1] (w:1, o:150, a:1
% 1.13/1.52 , s:1, b:0),
% 1.13/1.52 'c_Finite__Set_Olattice__class_OInf__fin' [70, 2] (w:1, o:224, a:1
% 1.13/1.52 , s:1, b:0),
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% 1.13/1.52 'c_Ex' [72, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.13/1.52 'c_COMBC' [73, 3] (w:1, o:242, a:1, s:1, b:0),
% 1.13/1.52 'c_COMBS' [74, 3] (w:1, o:243, a:1, s:1, b:0),
% 1.13/1.52 'c_and' [75, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.13/1.52 'c_fequal' [76, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.13/1.52 'c_Finite__Set_Ofinite' [77, 2] (w:1, o:225, a:1, s:1, b:0),
% 1.13/1.52 'class_Lattices_Obounded__lattice' [78, 1] (w:1, o:154, a:1, s:1, b:0
% 1.13/1.52 ),
% 1.13/1.52 'c_Lattices_Olower__semilattice__class_Oinf' [79, 1] (w:1, o:155, a:1
% 1.13/1.52 , s:1, b:0),
% 1.13/1.52 'c_split' [81, 4] (w:1, o:260, a:1, s:1, b:0),
% 1.13/1.52 'c_Pair' [82, 2] (w:1, o:227, a:1, s:1, b:0),
% 1.13/1.52 'c_COMBK' [84, 2] (w:1, o:228, a:1, s:1, b:0),
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% 1.13/1.52 , o:261, a:1, s:1, b:0),
% 1.13/1.52 'c_Complete__Lattice_Ocomplete__lattice' [97, 9] (w:1, o:279, a:1, s:
% 1.13/1.52 1, b:0),
% 1.13/1.52 'class_Complete__Lattice_Ocomplete__lattice' [98, 1] (w:1, o:156, a:1
% 1.13/1.52 , s:1, b:0),
% 1.13/1.52 'c_Complete__Lattice_OSup__class_OSup' [99, 1] (w:1, o:157, a:1, s:1
% 1.13/1.52 , b:0),
% 1.13/1.52 'class_Ring__and__Field_Oidom' [100, 1] (w:1, o:158, a:1, s:1, b:0),
% 1.13/1.65
% 1.13/1.65 'c_HOL_Otimes__class_Otimes' [101, 1] (w:1, o:159, a:1, s:1, b:0),
% 1.13/1.65 'c_HOL_Ouminus__class_Ouminus' [102, 1] (w:1, o:160, a:1, s:1, b:0),
% 1.13/1.65
% 1.13/1.65 'c_List_Olist_ONil' [105, 1] (w:1, o:161, a:1, s:1, b:0),
% 1.13/1.65 'c_List_Omap' [107, 4] (w:1, o:262, a:1, s:1, b:0),
% 1.13/1.65 'c_Orderings_Otop__class_Otop' [108, 1] (w:1, o:162, a:1, s:1, b:0),
% 1.13/1.65
% 1.13/1.65 'class_Orderings_Owellorder' [109, 1] (w:1, o:163, a:1, s:1, b:0),
% 1.13/1.65 'c_Orderings_Oord__class_OLeast' [111, 2] (w:1, o:226, a:1, s:1, b:0)
% 1.13/1.65 ,
% 1.13/1.65 'c_The' [112, 2] (w:1, o:229, a:1, s:1, b:0),
% 1.13/1.65 'c_Lambda_OdB_OVar' [114, 1] (w:1, o:164, a:1, s:1, b:0),
% 1.13/1.65 'c_Lambda_OdB_OAbs' [116, 1] (w:1, o:165, a:1, s:1, b:0),
% 1.13/1.65 'c_Transitive__Closure_Ortranclp' [119, 2] (w:1, o:230, a:1, s:1, b:0
% 1.13/1.65 ),
% 1.13/1.65 'c_Fun_Oinj__on' [121, 4] (w:1, o:263, a:1, s:1, b:0),
% 1.13/1.65 'class_Lattices_Olattice' [122, 1] (w:1, o:166, a:1, s:1, b:0),
% 1.13/1.65 'c_COMBI' [123, 1] (w:1, o:167, a:1, s:1, b:0),
% 1.13/1.65 'tc_prod' [124, 2] (w:1, o:231, a:1, s:1, b:0),
% 1.13/1.65 'c_Product__Type_OSigma' [126, 4] (w:1, o:264, a:1, s:1, b:0),
% 1.13/1.65 'c_Finite__Set_Olattice_OSup__fin' [128, 3] (w:1, o:244, a:1, s:1, b:
% 1.13/1.65 0),
% 1.13/1.65 'c_Lattices_Odistrib__lattice' [129, 5] (w:1, o:272, a:1, s:1, b:0),
% 1.13/1.65
% 1.13/1.65 'c_Finite__Set_Olattice_OInf__fin' [130, 3] (w:1, o:245, a:1, s:1, b:
% 1.13/1.65 0),
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% 1.13/1.65 'c_List_Oappend' [132, 3] (w:1, o:246, a:1, s:1, b:0),
% 1.13/1.65 't_a' [133, 0] (w:1, o:76, a:1, s:1, b:0),
% 1.13/1.65 'v_x' [134, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.13/1.65 'class_OrderedGroup_Opordered__ab__group__add' [135, 1] (w:1, o:169
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% 1.13/1.65 , b:0),
% 1.13/1.65 'class_Lattices_Oboolean__algebra' [138, 1] (w:1, o:171, a:1, s:1, b:
% 1.13/1.65 0),
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% 1.13/1.65 ),
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% 1.13/1.65 'class_Lattices_Oupper__semilattice' [150, 1] (w:1, o:173, a:1, s:1
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% 1.13/1.65 'c_Lattices_Oboolean__algebra' [155, 9] (w:1, o:280, a:1, s:1, b:0),
% 1.13/1.65
% 1.13/1.65 'c_Orderings_Olinorder' [156, 3] (w:1, o:249, a:1, s:1, b:0),
% 1.13/1.65 'c_Fun_Oid' [157, 1] (w:1, o:175, a:1, s:1, b:0),
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% 1.13/1.65 , b:0),
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% 1.13/1.65 1, b:0),
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% 1.13/1.65 'c_List_Ofilter' [189, 3] (w:1, o:252, a:1, s:1, b:0),
% 1.13/1.65 'c_HOL_Oinduct__forall' [190, 2] (w:1, o:237, a:1, s:1, b:0),
% 1.13/1.65 'class_OrderedGroup_Olordered__ab__group__add' [192, 1] (w:1, o:182
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% 1.13/1.65 'class_Ring__and__Field_Oring' [195, 1] (w:1, o:180, a:1, s:1, b:0),
% 8.22/8.61
% 8.22/8.61 'class_OrderedGroup_Oab__semigroup__idem__mult' [197, 1] (w:1, o:183
% 8.22/8.61 , a:1, s:1, b:0),
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% 8.22/8.61 'class_HOL_Ouminus' [201, 1] (w:1, o:184, a:1, s:1, b:0),
% 8.22/8.61 'c_Relation_Otrans' [207, 2] (w:1, o:239, a:1, s:1, b:0),
% 8.22/8.61 'class_Finite__Set_Ofinite_Ofinite' [208, 1] (w:1, o:185, a:1, s:1
% 8.22/8.61 , b:0),
% 8.22/8.61 'c_or' [209, 0] (w:1, o:102, a:1, s:1, b:0),
% 8.22/8.61 'c_Lattices_Obounded__lattice' [210, 7] (w:1, o:278, a:1, s:1, b:0),
% 8.22/8.61
% 8.22/8.61 'v_P' [211, 0] (w:1, o:103, a:1, s:1, b:0),
% 8.22/8.61 'class_Ring__and__Field_Oordered__ring__strict' [212, 1] (w:1, o:186
% 8.22/8.61 , a:1, s:1, b:0),
% 8.22/8.61 'c_InductTermi_OIT' [213, 0] (w:1, o:105, a:1, s:1, b:0),
% 8.22/8.61 'class_OrderedGroup_Oab__group__add' [214, 1] (w:1, o:187, a:1, s:1
% 8.22/8.61 , b:0),
% 8.22/8.61 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1' [
% 8.22/8.61 215, 4] (w:1, o:265, a:1, s:1, b:0),
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% 8.22/8.61 1, b:0),
% 8.22/8.61 'c_Relation_Osingle__valued' [220, 3] (w:1, o:254, a:1, s:1, b:0),
% 8.22/8.61 'class_OrderedGroup_Oab__semigroup__mult' [221, 1] (w:1, o:189, a:1
% 8.22/8.61 , s:1, b:0),
% 8.22/8.61 'c_HOL_Oinduct__conj' [227, 0] (w:1, o:104, a:1, s:1, b:0),
% 8.22/8.61 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1' [228, 5
% 8.22/8.61 ] (w:1, o:274, a:1, s:1, b:0),
% 8.22/8.61 'c_FunDef_OTHE__default' [229, 1] (w:1, o:190, a:1, s:1, b:0),
% 8.22/8.61 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1' [230, 5]
% 8.22/8.61 (w:1, o:275, a:1, s:1, b:0),
% 8.22/8.61 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1' [231, 5] (w:1
% 8.22/8.61 , o:276, a:1, s:1, b:0),
% 8.22/8.61 'c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1' [233, 4]
% 8.22/8.61 (w:1, o:266, a:1, s:1, b:0),
% 8.22/8.61 'c_implies' [234, 0] (w:1, o:109, a:1, s:1, b:0),
% 8.22/8.61 'v_d' [235, 0] (w:1, o:110, a:1, s:1, b:0),
% 8.22/8.61 'c_All' [236, 1] (w:1, o:191, a:1, s:1, b:0),
% 8.22/8.61 'c_HOL_OIf' [237, 4] (w:1, o:267, a:1, s:1, b:0),
% 8.22/8.61 'v_B' [238, 0] (w:1, o:111, a:1, s:1, b:0),
% 8.22/8.61 'c_Predicate_OPowp' [239, 3] (w:1, o:256, a:1, s:1, b:0),
% 8.22/8.61 'v_r' [240, 0] (w:1, o:112, a:1, s:1, b:0),
% 8.22/8.61 'v_ua______' [243, 0] (w:1, o:113, a:1, s:1, b:0),
% 8.22/8.61 'v_u____' [244, 0] (w:1, o:114, a:1, s:1, b:0),
% 8.22/8.61 'c_List_Olistsp' [245, 3] (w:1, o:257, a:1, s:1, b:0),
% 8.22/8.61 'c_List_Osko__List__Xin__listsp__conv__set__1__1' [246, 3] (w:1, o:
% 8.22/8.61 258, a:1, s:1, b:0),
% 8.22/8.61 'tc_Type_Otype' [248, 0] (w:1, o:115, a:1, s:1, b:0),
% 8.22/8.61 'c_Type_Oshift' [249, 1] (w:1, o:192, a:1, s:1, b:0),
% 8.22/8.61 'v_e____' [250, 0] (w:1, o:116, a:1, s:1, b:0),
% 8.22/8.61 'v_i____' [251, 0] (w:1, o:117, a:1, s:1, b:0),
% 8.22/8.61 'v_T____' [252, 0] (w:1, o:118, a:1, s:1, b:0),
% 8.22/8.61 'v_as____' [253, 0] (w:1, o:119, a:1, s:1, b:0),
% 8.22/8.61 'v_Ts____' [254, 0] (w:1, o:120, a:1, s:1, b:0),
% 8.22/8.61 'c_Type_Otypings' [255, 3] (w:1, o:259, a:1, s:1, b:0),
% 8.22/8.61 'v_ea______' [256, 0] (w:1, o:121, a:1, s:1, b:0),
% 8.22/8.61 'class_HOL_Oord' [257, 1] (w:1, o:193, a:1, s:1, b:0),
% 8.22/8.61 'c_Recdef_Oadm__wf' [258, 4] (w:1, o:268, a:1, s:1, b:0),
% 8.22/8.61 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [259, 4] (w:1, o:269
% 8.22/8.61 , a:1, s:1, b:0),
% 8.22/8.61 't_b' [260, 0] (w:1, o:122, a:1, s:1, b:0),
% 8.22/8.61 'c_Orderings_Oord_OLeast' [261, 3] (w:1, o:255, a:1, s:1, b:0),
% 8.22/8.61 'v_upd' [262, 0] (w:1, o:123, a:1, s:1, b:0),
% 8.22/8.61 'v_acc' [263, 0] (w:1, o:124, a:1, s:1, b:0),
% 8.22/8.61 'c_Hilbert__Choice_OLeastM' [264, 4] (w:1, o:270, a:1, s:1, b:0),
% 8.22/8.61 'c_Hilbert__Choice_OGreatestM' [265, 4] (w:1, o:271, a:1, s:1, b:0),
% 8.22/8.61
% 8.22/8.61 'v_f' [266, 0] (w:1, o:125, a:1, s:1, b:0),
% 8.22/8.61 'tc_Lambda_OdB' [271, 0] (w:1, o:127, a:1, s:1, b:0),
% 8.22/8.61 'v_rs____' [272, 0] (w:1, o:128, a:1, s:1, b:0),
% 8.22/8.61 'v_ia______' [274, 0] (w:1, o:129, a:1, s:1, b:0),
% 8.22/8.61 'v_n____' [275, 0] (w:1, o:130, a:1, s:1, b:0),
% 8.22/8.61 'v_T_Ha______' [276, 0] (w:1, o:131, a:1, s:1, b:0).
% 8.22/8.61
% 8.22/8.61
% 8.22/8.61 Starting Search:
% 8.22/8.61
% 8.22/8.61 Resimplifying inuse:
% 8.22/8.61 Done
% 8.22/8.61
% 8.22/8.61
% 8.22/8.61 Intermediate Status:
% 8.22/8.61 Generated: 6262
% 8.22/8.61 Kept: 2310
% 8.22/8.61 Inuse: 142
% 8.22/8.61 Deleted: 9
% 8.22/8.61 Deletedinuse: 0
% 8.22/8.61
% 8.22/8.61 Resimplifying inuse:
% 8.22/8.61 Done
% 8.22/8.61
% 8.22/8.61 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 15703
% 22.48/22.87 Kept: 4545
% 22.48/22.87 Inuse: 183
% 22.48/22.87 Deleted: 13
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 23109
% 22.48/22.87 Kept: 6550
% 22.48/22.87 Inuse: 239
% 22.48/22.87 Deleted: 14
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 30513
% 22.48/22.87 Kept: 8598
% 22.48/22.87 Inuse: 282
% 22.48/22.87 Deleted: 15
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 35885
% 22.48/22.87 Kept: 10681
% 22.48/22.87 Inuse: 313
% 22.48/22.87 Deleted: 17
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 41290
% 22.48/22.87 Kept: 12710
% 22.48/22.87 Inuse: 339
% 22.48/22.87 Deleted: 17
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 49970
% 22.48/22.87 Kept: 14794
% 22.48/22.87 Inuse: 349
% 22.48/22.87 Deleted: 17
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 62538
% 22.48/22.87 Kept: 17528
% 22.48/22.87 Inuse: 376
% 22.48/22.87 Deleted: 18
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 72495
% 22.48/22.87 Kept: 20111
% 22.48/22.87 Inuse: 396
% 22.48/22.87 Deleted: 18
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying clauses:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 82011
% 22.48/22.87 Kept: 22152
% 22.48/22.87 Inuse: 426
% 22.48/22.87 Deleted: 90
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 92656
% 22.48/22.87 Kept: 24561
% 22.48/22.87 Inuse: 446
% 22.48/22.87 Deleted: 90
% 22.48/22.87 Deletedinuse: 3
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 105322
% 22.48/22.87 Kept: 26890
% 22.48/22.87 Inuse: 491
% 22.48/22.87 Deleted: 95
% 22.48/22.87 Deletedinuse: 8
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 113761
% 22.48/22.87 Kept: 28929
% 22.48/22.87 Inuse: 522
% 22.48/22.87 Deleted: 95
% 22.48/22.87 Deletedinuse: 8
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 121673
% 22.48/22.87 Kept: 30950
% 22.48/22.87 Inuse: 556
% 22.48/22.87 Deleted: 97
% 22.48/22.87 Deletedinuse: 10
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 128989
% 22.48/22.87 Kept: 32986
% 22.48/22.87 Inuse: 583
% 22.48/22.87 Deleted: 98
% 22.48/22.87 Deletedinuse: 11
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 138958
% 22.48/22.87 Kept: 35617
% 22.48/22.87 Inuse: 609
% 22.48/22.87 Deleted: 100
% 22.48/22.87 Deletedinuse: 11
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 145083
% 22.48/22.87 Kept: 38156
% 22.48/22.87 Inuse: 614
% 22.48/22.87 Deleted: 100
% 22.48/22.87 Deletedinuse: 11
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 154040
% 22.48/22.87 Kept: 40241
% 22.48/22.87 Inuse: 663
% 22.48/22.87 Deleted: 102
% 22.48/22.87 Deletedinuse: 12
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying clauses:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 163562
% 22.48/22.87 Kept: 42500
% 22.48/22.87 Inuse: 678
% 22.48/22.87 Deleted: 460
% 22.48/22.87 Deletedinuse: 14
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 170333
% 22.48/22.87 Kept: 44559
% 22.48/22.87 Inuse: 698
% 22.48/22.87 Deleted: 460
% 22.48/22.87 Deletedinuse: 14
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 178384
% 22.48/22.87 Kept: 46595
% 22.48/22.87 Inuse: 733
% 22.48/22.87 Deleted: 460
% 22.48/22.87 Deletedinuse: 14
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 185639
% 22.48/22.87 Kept: 48616
% 22.48/22.87 Inuse: 770
% 22.48/22.87 Deleted: 463
% 22.48/22.87 Deletedinuse: 17
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 196682
% 22.48/22.87 Kept: 51306
% 22.48/22.87 Inuse: 787
% 22.48/22.87 Deleted: 464
% 22.48/22.87 Deletedinuse: 17
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 213965
% 22.48/22.87 Kept: 53702
% 22.48/22.87 Inuse: 796
% 22.48/22.87 Deleted: 471
% 22.48/22.87 Deletedinuse: 23
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 235554
% 22.48/22.87 Kept: 56557
% 22.48/22.87 Inuse: 819
% 22.48/22.87 Deleted: 473
% 22.48/22.87 Deletedinuse: 23
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87 Resimplifying inuse:
% 22.48/22.87 Done
% 22.48/22.87
% 22.48/22.87
% 22.48/22.87 Intermediate Status:
% 22.48/22.87 Generated: 255161
% 55.53/56.00 Kept: 58905
% 55.53/56.00 Inuse: 826
% 55.53/56.00 Deleted: 477
% 55.53/56.00 Deletedinuse: 24
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 275207
% 55.53/56.00 Kept: 61399
% 55.53/56.00 Inuse: 836
% 55.53/56.00 Deleted: 480
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying clauses:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 288084
% 55.53/56.00 Kept: 63409
% 55.53/56.00 Inuse: 851
% 55.53/56.00 Deleted: 879
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 294869
% 55.53/56.00 Kept: 65543
% 55.53/56.00 Inuse: 866
% 55.53/56.00 Deleted: 879
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 303096
% 55.53/56.00 Kept: 67549
% 55.53/56.00 Inuse: 888
% 55.53/56.00 Deleted: 879
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 312237
% 55.53/56.00 Kept: 69557
% 55.53/56.00 Inuse: 900
% 55.53/56.00 Deleted: 879
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 326083
% 55.53/56.00 Kept: 73163
% 55.53/56.00 Inuse: 911
% 55.53/56.00 Deleted: 879
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 333223
% 55.53/56.00 Kept: 75230
% 55.53/56.00 Inuse: 923
% 55.53/56.00 Deleted: 879
% 55.53/56.00 Deletedinuse: 27
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 342572
% 55.53/56.00 Kept: 77494
% 55.53/56.00 Inuse: 956
% 55.53/56.00 Deleted: 880
% 55.53/56.00 Deletedinuse: 28
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 358110
% 55.53/56.00 Kept: 79507
% 55.53/56.00 Inuse: 967
% 55.53/56.00 Deleted: 890
% 55.53/56.00 Deletedinuse: 35
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 366618
% 55.53/56.00 Kept: 81510
% 55.53/56.00 Inuse: 982
% 55.53/56.00 Deleted: 891
% 55.53/56.00 Deletedinuse: 35
% 55.53/56.00
% 55.53/56.00 Resimplifying clauses:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 377329
% 55.53/56.00 Kept: 83521
% 55.53/56.00 Inuse: 1009
% 55.53/56.00 Deleted: 1167
% 55.53/56.00 Deletedinuse: 35
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 388289
% 55.53/56.00 Kept: 85929
% 55.53/56.00 Inuse: 1033
% 55.53/56.00 Deleted: 1171
% 55.53/56.00 Deletedinuse: 35
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 396544
% 55.53/56.00 Kept: 88413
% 55.53/56.00 Inuse: 1040
% 55.53/56.00 Deleted: 1177
% 55.53/56.00 Deletedinuse: 38
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 404671
% 55.53/56.00 Kept: 91170
% 55.53/56.00 Inuse: 1049
% 55.53/56.00 Deleted: 1180
% 55.53/56.00 Deletedinuse: 40
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 412766
% 55.53/56.00 Kept: 93912
% 55.53/56.00 Inuse: 1064
% 55.53/56.00 Deleted: 1180
% 55.53/56.00 Deletedinuse: 40
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 423037
% 55.53/56.00 Kept: 96156
% 55.53/56.00 Inuse: 1094
% 55.53/56.00 Deleted: 1180
% 55.53/56.00 Deletedinuse: 40
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 440923
% 55.53/56.00 Kept: 99602
% 55.53/56.00 Inuse: 1109
% 55.53/56.00 Deleted: 1183
% 55.53/56.00 Deletedinuse: 43
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 459135
% 55.53/56.00 Kept: 101822
% 55.53/56.00 Inuse: 1119
% 55.53/56.00 Deleted: 1183
% 55.53/56.00 Deletedinuse: 43
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying clauses:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 471705
% 55.53/56.00 Kept: 104829
% 55.53/56.00 Inuse: 1134
% 55.53/56.00 Deleted: 1599
% 55.53/56.00 Deletedinuse: 43
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 483475
% 55.53/56.00 Kept: 108046
% 55.53/56.00 Inuse: 1147
% 55.53/56.00 Deleted: 1602
% 55.53/56.00 Deletedinuse: 44
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 497423
% 55.53/56.00 Kept: 111511
% 55.53/56.00 Inuse: 1155
% 55.53/56.00 Deleted: 1606
% 55.53/56.00 Deletedinuse: 46
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 506726
% 55.53/56.00 Kept: 113723
% 55.53/56.00 Inuse: 1165
% 55.53/56.00 Deleted: 1606
% 55.53/56.00 Deletedinuse: 46
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 524604
% 55.53/56.00 Kept: 117772
% 55.53/56.00 Inuse: 1185
% 55.53/56.00 Deleted: 1606
% 55.53/56.00 Deletedinuse: 46
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00 Resimplifying inuse:
% 55.53/56.00 Done
% 55.53/56.00
% 55.53/56.00
% 55.53/56.00 Intermediate Status:
% 55.53/56.00 Generated: 535075
% 55.53/56.00 Kept: 119986
% 55.53/56.00 Inuse: 1210
% 102.29/102.75 Deleted: 1606
% 102.29/102.75 Deletedinuse: 46
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 545642
% 102.29/102.75 Kept: 121997
% 102.29/102.75 Inuse: 1233
% 102.29/102.75 Deleted: 1610
% 102.29/102.75 Deletedinuse: 48
% 102.29/102.75
% 102.29/102.75 Resimplifying clauses:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 555248
% 102.29/102.75 Kept: 124206
% 102.29/102.75 Inuse: 1238
% 102.29/102.75 Deleted: 1891
% 102.29/102.75 Deletedinuse: 48
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 565267
% 102.29/102.75 Kept: 126209
% 102.29/102.75 Inuse: 1258
% 102.29/102.75 Deleted: 1894
% 102.29/102.75 Deletedinuse: 51
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 572530
% 102.29/102.75 Kept: 128312
% 102.29/102.75 Inuse: 1274
% 102.29/102.75 Deleted: 1899
% 102.29/102.75 Deletedinuse: 52
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 579215
% 102.29/102.75 Kept: 131920
% 102.29/102.75 Inuse: 1280
% 102.29/102.75 Deleted: 1906
% 102.29/102.75 Deletedinuse: 55
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 586920
% 102.29/102.75 Kept: 133928
% 102.29/102.75 Inuse: 1291
% 102.29/102.75 Deleted: 1911
% 102.29/102.75 Deletedinuse: 56
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 593762
% 102.29/102.75 Kept: 136157
% 102.29/102.75 Inuse: 1308
% 102.29/102.75 Deleted: 1918
% 102.29/102.75 Deletedinuse: 60
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 604048
% 102.29/102.75 Kept: 138438
% 102.29/102.75 Inuse: 1329
% 102.29/102.75 Deleted: 1926
% 102.29/102.75 Deletedinuse: 64
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 613089
% 102.29/102.75 Kept: 140558
% 102.29/102.75 Inuse: 1349
% 102.29/102.75 Deleted: 1927
% 102.29/102.75 Deletedinuse: 65
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 621071
% 102.29/102.75 Kept: 142588
% 102.29/102.75 Inuse: 1364
% 102.29/102.75 Deleted: 1927
% 102.29/102.75 Deletedinuse: 65
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying clauses:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 631731
% 102.29/102.75 Kept: 145416
% 102.29/102.75 Inuse: 1377
% 102.29/102.75 Deleted: 2471
% 102.29/102.75 Deletedinuse: 65
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 639879
% 102.29/102.75 Kept: 147491
% 102.29/102.75 Inuse: 1389
% 102.29/102.75 Deleted: 2474
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 654071
% 102.29/102.75 Kept: 151887
% 102.29/102.75 Inuse: 1409
% 102.29/102.75 Deleted: 2474
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 662292
% 102.29/102.75 Kept: 155206
% 102.29/102.75 Inuse: 1414
% 102.29/102.75 Deleted: 2474
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 679767
% 102.29/102.75 Kept: 159082
% 102.29/102.75 Inuse: 1419
% 102.29/102.75 Deleted: 2474
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 697432
% 102.29/102.75 Kept: 162960
% 102.29/102.75 Inuse: 1424
% 102.29/102.75 Deleted: 2474
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying clauses:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 712406
% 102.29/102.75 Kept: 166931
% 102.29/102.75 Inuse: 1434
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 722065
% 102.29/102.75 Kept: 169731
% 102.29/102.75 Inuse: 1439
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 730477
% 102.29/102.75 Kept: 171738
% 102.29/102.75 Inuse: 1455
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 740152
% 102.29/102.75 Kept: 173985
% 102.29/102.75 Inuse: 1474
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 754741
% 102.29/102.75 Kept: 178002
% 102.29/102.75 Inuse: 1489
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 764332
% 102.29/102.75 Kept: 180817
% 102.29/102.75 Inuse: 1494
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 773900
% 102.29/102.75 Kept: 183528
% 102.29/102.75 Inuse: 1499
% 102.29/102.75 Deleted: 3156
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying clauses:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 796857
% 102.29/102.75 Kept: 187042
% 102.29/102.75 Inuse: 1514
% 102.29/102.75 Deleted: 3300
% 102.29/102.75 Deletedinuse: 68
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75 Resimplifying inuse:
% 102.29/102.75 Done
% 102.29/102.75
% 102.29/102.75
% 102.29/102.75 Intermediate Status:
% 102.29/102.75 Generated: 806524
% 102.29/102.75 Kept: 189455
% 102.29/102.75 Inuse: 1529
% 102.29/102.75 Deleted: 3300
% 199.07/199.66 Deletedinuse: 68
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 824794
% 199.07/199.66 Kept: 193968
% 199.07/199.66 Inuse: 1534
% 199.07/199.66 Deleted: 3300
% 199.07/199.66 Deletedinuse: 68
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 833124
% 199.07/199.66 Kept: 195978
% 199.07/199.66 Inuse: 1551
% 199.07/199.66 Deleted: 3300
% 199.07/199.66 Deletedinuse: 68
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 842749
% 199.07/199.66 Kept: 198306
% 199.07/199.66 Inuse: 1564
% 199.07/199.66 Deleted: 3300
% 199.07/199.66 Deletedinuse: 68
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 851802
% 199.07/199.66 Kept: 200629
% 199.07/199.66 Inuse: 1579
% 199.07/199.66 Deleted: 3300
% 199.07/199.66 Deletedinuse: 68
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 861455
% 199.07/199.66 Kept: 203465
% 199.07/199.66 Inuse: 1599
% 199.07/199.66 Deleted: 3300
% 199.07/199.66 Deletedinuse: 68
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying clauses:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 870137
% 199.07/199.66 Kept: 205893
% 199.07/199.66 Inuse: 1614
% 199.07/199.66 Deleted: 3635
% 199.07/199.66 Deletedinuse: 70
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 878535
% 199.07/199.66 Kept: 208345
% 199.07/199.66 Inuse: 1627
% 199.07/199.66 Deleted: 3641
% 199.07/199.66 Deletedinuse: 74
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 889463
% 199.07/199.66 Kept: 211132
% 199.07/199.66 Inuse: 1642
% 199.07/199.66 Deleted: 3642
% 199.07/199.66 Deletedinuse: 75
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 912543
% 199.07/199.66 Kept: 216797
% 199.07/199.66 Inuse: 1652
% 199.07/199.66 Deleted: 3642
% 199.07/199.66 Deletedinuse: 75
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 921945
% 199.07/199.66 Kept: 219289
% 199.07/199.66 Inuse: 1667
% 199.07/199.66 Deleted: 3642
% 199.07/199.66 Deletedinuse: 75
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 928627
% 199.07/199.66 Kept: 221437
% 199.07/199.66 Inuse: 1677
% 199.07/199.66 Deleted: 3642
% 199.07/199.66 Deletedinuse: 75
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 936735
% 199.07/199.66 Kept: 223470
% 199.07/199.66 Inuse: 1692
% 199.07/199.66 Deleted: 3643
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 971214
% 199.07/199.66 Kept: 227589
% 199.07/199.66 Inuse: 1702
% 199.07/199.66 Deleted: 3643
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying clauses:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 982266
% 199.07/199.66 Kept: 229947
% 199.07/199.66 Inuse: 1707
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 999651
% 199.07/199.66 Kept: 232271
% 199.07/199.66 Inuse: 1737
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1008013
% 199.07/199.66 Kept: 234421
% 199.07/199.66 Inuse: 1747
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1017741
% 199.07/199.66 Kept: 236426
% 199.07/199.66 Inuse: 1760
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1029589
% 199.07/199.66 Kept: 238924
% 199.07/199.66 Inuse: 1777
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1046284
% 199.07/199.66 Kept: 241614
% 199.07/199.66 Inuse: 1797
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1063384
% 199.07/199.66 Kept: 246189
% 199.07/199.66 Inuse: 1807
% 199.07/199.66 Deleted: 3914
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66 Resimplifying clauses:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1082277
% 199.07/199.66 Kept: 251867
% 199.07/199.66 Inuse: 1817
% 199.07/199.66 Deleted: 4157
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1095072
% 199.07/199.66 Kept: 255335
% 199.07/199.66 Inuse: 1822
% 199.07/199.66 Deleted: 4157
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1107938
% 199.07/199.66 Kept: 258766
% 199.07/199.66 Inuse: 1827
% 199.07/199.66 Deleted: 4157
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1113905
% 199.07/199.66 Kept: 261148
% 199.07/199.66 Inuse: 1832
% 199.07/199.66 Deleted: 4157
% 199.07/199.66 Deletedinuse: 76
% 199.07/199.66
% 199.07/199.66 Resimplifying inuse:
% 199.07/199.66 Done
% 199.07/199.66
% 199.07/199.66
% 199.07/199.66 Intermediate Status:
% 199.07/199.66 Generated: 1121005
% 199.07/199.66 Kept: 264140
% 199.07/199.66 Inuse: 1837
% 199.07/199.66 Deleted: 4157
% 199.07/199.66 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1128535
% 261.86/262.47 Kept: 267324
% 261.86/262.47 Inuse: 1842
% 261.86/262.47 Deleted: 4157
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying clauses:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1140346
% 261.86/262.47 Kept: 269973
% 261.86/262.47 Inuse: 1857
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1151023
% 261.86/262.47 Kept: 272129
% 261.86/262.47 Inuse: 1872
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1162674
% 261.86/262.47 Kept: 274264
% 261.86/262.47 Inuse: 1887
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1172927
% 261.86/262.47 Kept: 276548
% 261.86/262.47 Inuse: 1897
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1181499
% 261.86/262.47 Kept: 279224
% 261.86/262.47 Inuse: 1907
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1197831
% 261.86/262.47 Kept: 282917
% 261.86/262.47 Inuse: 1912
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1211172
% 261.86/262.47 Kept: 285732
% 261.86/262.47 Inuse: 1917
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1240634
% 261.86/262.47 Kept: 289363
% 261.86/262.47 Inuse: 1927
% 261.86/262.47 Deleted: 4204
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying clauses:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1250954
% 261.86/262.47 Kept: 291589
% 261.86/262.47 Inuse: 1937
% 261.86/262.47 Deleted: 4559
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1276748
% 261.86/262.47 Kept: 294840
% 261.86/262.47 Inuse: 1947
% 261.86/262.47 Deleted: 4559
% 261.86/262.47 Deletedinuse: 76
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1299071
% 261.86/262.47 Kept: 297551
% 261.86/262.47 Inuse: 1952
% 261.86/262.47 Deleted: 4561
% 261.86/262.47 Deletedinuse: 78
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1311753
% 261.86/262.47 Kept: 300607
% 261.86/262.47 Inuse: 1967
% 261.86/262.47 Deleted: 4565
% 261.86/262.47 Deletedinuse: 82
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1338121
% 261.86/262.47 Kept: 303809
% 261.86/262.47 Inuse: 1971
% 261.86/262.47 Deleted: 4567
% 261.86/262.47 Deletedinuse: 83
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1345204
% 261.86/262.47 Kept: 306061
% 261.86/262.47 Inuse: 1980
% 261.86/262.47 Deleted: 4569
% 261.86/262.47 Deletedinuse: 84
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1369534
% 261.86/262.47 Kept: 309001
% 261.86/262.47 Inuse: 1984
% 261.86/262.47 Deleted: 4571
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying clauses:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1380363
% 261.86/262.47 Kept: 311587
% 261.86/262.47 Inuse: 1994
% 261.86/262.47 Deleted: 4851
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1387059
% 261.86/262.47 Kept: 313666
% 261.86/262.47 Inuse: 1999
% 261.86/262.47 Deleted: 4851
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1416832
% 261.86/262.47 Kept: 319329
% 261.86/262.47 Inuse: 2014
% 261.86/262.47 Deleted: 4851
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1440646
% 261.86/262.47 Kept: 324895
% 261.86/262.47 Inuse: 2019
% 261.86/262.47 Deleted: 4851
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1453875
% 261.86/262.47 Kept: 328778
% 261.86/262.47 Inuse: 2029
% 261.86/262.47 Deleted: 4851
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying clauses:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1469414
% 261.86/262.47 Kept: 331401
% 261.86/262.47 Inuse: 2049
% 261.86/262.47 Deleted: 4887
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1482750
% 261.86/262.47 Kept: 333967
% 261.86/262.47 Inuse: 2064
% 261.86/262.47 Deleted: 4887
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1497370
% 261.86/262.47 Kept: 335980
% 261.86/262.47 Inuse: 2082
% 261.86/262.47 Deleted: 4887
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.47 Done
% 261.86/262.47
% 261.86/262.47
% 261.86/262.47 Intermediate Status:
% 261.86/262.47 Generated: 1509347
% 261.86/262.47 Kept: 337991
% 261.86/262.47 Inuse: 2094
% 261.86/262.47 Deleted: 4887
% 261.86/262.47 Deletedinuse: 85
% 261.86/262.47
% 261.86/262.47 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1530370
% 261.86/262.48 Kept: 340202
% 261.86/262.48 Inuse: 2119
% 261.86/262.48 Deleted: 4887
% 261.86/262.48 Deletedinuse: 85
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1540214
% 261.86/262.48 Kept: 342344
% 261.86/262.48 Inuse: 2129
% 261.86/262.48 Deleted: 4887
% 261.86/262.48 Deletedinuse: 85
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1552612
% 261.86/262.48 Kept: 345025
% 261.86/262.48 Inuse: 2139
% 261.86/262.48 Deleted: 4887
% 261.86/262.48 Deletedinuse: 85
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1580796
% 261.86/262.48 Kept: 349116
% 261.86/262.48 Inuse: 2154
% 261.86/262.48 Deleted: 4887
% 261.86/262.48 Deletedinuse: 85
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1587169
% 261.86/262.48 Kept: 351268
% 261.86/262.48 Inuse: 2159
% 261.86/262.48 Deleted: 4888
% 261.86/262.48 Deletedinuse: 86
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 Resimplifying clauses:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1593482
% 261.86/262.48 Kept: 353413
% 261.86/262.48 Inuse: 2164
% 261.86/262.48 Deleted: 5253
% 261.86/262.48 Deletedinuse: 86
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1602106
% 261.86/262.48 Kept: 355832
% 261.86/262.48 Inuse: 2169
% 261.86/262.48 Deleted: 5253
% 261.86/262.48 Deletedinuse: 86
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1609305
% 261.86/262.48 Kept: 358315
% 261.86/262.48 Inuse: 2174
% 261.86/262.48 Deleted: 5253
% 261.86/262.48 Deletedinuse: 86
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1625165
% 261.86/262.48 Kept: 362596
% 261.86/262.48 Inuse: 2179
% 261.86/262.48 Deleted: 5253
% 261.86/262.48 Deletedinuse: 86
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1650717
% 261.86/262.48 Kept: 367845
% 261.86/262.48 Inuse: 2184
% 261.86/262.48 Deleted: 5254
% 261.86/262.48 Deletedinuse: 87
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1657945
% 261.86/262.48 Kept: 370094
% 261.86/262.48 Inuse: 2189
% 261.86/262.48 Deleted: 5254
% 261.86/262.48 Deletedinuse: 87
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1684696
% 261.86/262.48 Kept: 375596
% 261.86/262.48 Inuse: 2194
% 261.86/262.48 Deleted: 5254
% 261.86/262.48 Deletedinuse: 87
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 Resimplifying clauses:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1700425
% 261.86/262.48 Kept: 378472
% 261.86/262.48 Inuse: 2209
% 261.86/262.48 Deleted: 5549
% 261.86/262.48 Deletedinuse: 87
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Intermediate Status:
% 261.86/262.48 Generated: 1716330
% 261.86/262.48 Kept: 382743
% 261.86/262.48 Inuse: 2215
% 261.86/262.48 Deleted: 5549
% 261.86/262.48 Deletedinuse: 87
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 Resimplifying inuse:
% 261.86/262.48 Done
% 261.86/262.48
% 261.86/262.48 assignments is full
% 261.86/262.48
% 261.86/262.48 Memory use:
% 261.86/262.48
% 261.86/262.48 space for terms: 17463091
% 261.86/262.48 space for clauses: 20232206
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 clauses generated: 1724779
% 261.86/262.48 clauses kept: 384417
% 261.86/262.48 clauses selected: 2229
% 261.86/262.48 clauses deleted: 5549
% 261.86/262.48 clauses inuse deleted: 87
% 261.86/262.48
% 261.86/262.48 subsentry: 39171666
% 261.86/262.48 literals s-matched: 21430145
% 261.86/262.48 literals matched: 18699860
% 261.86/262.48 full subsumption: 11434441
% 261.86/262.48
% 261.86/262.48 checksum: -1980415999
% 261.86/262.48
% 261.86/262.48
% 261.86/262.48 Bliksem ended
%------------------------------------------------------------------------------