TSTP Solution File: LCL820-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL820-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:58:25 EDT 2022
% Result : Unknown 264.04s 264.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL820-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 23:55:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.17/1.54 *** allocated 10000 integers for termspace/termends
% 1.17/1.54 *** allocated 10000 integers for clauses
% 1.17/1.54 *** allocated 10000 integers for justifications
% 1.17/1.54 *** allocated 15000 integers for termspace/termends
% 1.17/1.54 *** allocated 22500 integers for termspace/termends
% 1.17/1.54 *** allocated 33750 integers for termspace/termends
% 1.17/1.54 Bliksem 1.12
% 1.17/1.54
% 1.17/1.54
% 1.17/1.54 Automatic Strategy Selection
% 1.17/1.54
% 1.17/1.54 Clauses:
% 1.17/1.54 [
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.17/1.54 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.17/1.54 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.17/1.54 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.17/1.54 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.17/1.54 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.17/1.54 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.17/1.54 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.17/1.54 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.17/1.54 ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.17/1.54 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.17/1.54 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.17/1.54 Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.17/1.54 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.17/1.54 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.17/1.54 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.17/1.54 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.17/1.54 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.17/1.54 ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.17/1.54 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 1.17/1.54 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 1.17/1.54 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.54 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.17/1.54 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.17/1.54 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.17/1.54 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.17/1.54 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.17/1.54 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.17/1.54 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ) ), hAPP(
% 1.17/1.54 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.17/1.54 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( 'c_split'( X, T, U,
% 1.17/1.54 'tc_bool' ), hAPP( hAPP( 'c_Pair'( T, U ), Y ), Z ) ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( 'c_split'( X, Y, Z, 'tc_bool' ), hAPP( hAPP( 'c_Pair'( Y
% 1.17/1.54 , Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.17/1.54 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U,
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), W ), Z ) ) ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.17/1.54 ), hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X
% 1.17/1.54 , 'tc_fun'( T, 'tc_bool' ) ), Z ), W ) ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.17/1.54 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U,
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), W ), Z ) ) ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.17/1.54 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.17/1.54 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), X ) ],
% 1.17/1.54 [ =( hAPP( hAPP( X, hAPP( 'c_COMBK'( Y, Y ), hAPP( Z, hAPP( T, U ) ) ) )
% 1.17/1.54 , U ), hAPP( hAPP( X, Z ), U ) ), ~( hBOOL(
% 1.17/1.54 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, W ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), U ), Y ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) )
% 1.17/1.54 ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 ), Z ) ), T ), T ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.54 ), T ) ), Y ) ],
% 1.17/1.54 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.54 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 1.17/1.54 , 'c_List_Olist_ONil'( T ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( T, U ), Y
% 1.17/1.54 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Owellorder'( X ) ), ~( hBOOL( hAPP( Y, Z ) ) ),
% 1.17/1.54 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.17/1.54 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ) ) ],
% 1.17/1.54 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.17/1.54 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.17/1.54 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.17/1.54 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.17/1.54 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.17/1.54 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.17/1.54 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.17/1.54 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.17/1.54 Y, Z ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ) ), =( hAPP( T, U ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Z,
% 1.17/1.54 'tc_bool' ) ), U ), X ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.54 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.54 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.17/1.54 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.17/1.54 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.17/1.54 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.17/1.54 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.17/1.54 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.54 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.17/1.54 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( 'c_COMBK'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Collect'( Y ), T ) ), X, Y ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.17/1.54 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.17/1.54 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.54 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.54 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Z ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.17/1.54 , =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OSup__fin'( Z, T, U ) )
% 1.17/1.54 , 'c_Finite__Set_Olattice_OSup__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.17/1.54 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.17/1.54 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.17/1.54 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.17/1.54 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.17/1.54 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.17/1.54 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.17/1.54 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.17/1.54 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.17/1.54 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.17/1.54 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.17/1.54 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.17/1.54 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, U ) ) ],
% 1.17/1.54 [ =( 'c_Finite__Set_Olattice_OInf__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.17/1.54 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice'( T, U, W, V0, X, V1, V2, V3, Z )
% 1.17/1.54 ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.54 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.17/1.54 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.17/1.54 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 1.17/1.54 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.17/1.54 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.17/1.54 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 1.17/1.54 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( 't_a'
% 1.17/1.54 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.17/1.54 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.17/1.54 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ), hAPP( hAPP(
% 1.17/1.54 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( 't_a'
% 1.17/1.54 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ) ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.54 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ),
% 1.17/1.54 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Z ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.54 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.54 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.17/1.54 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.54 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.17/1.54 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.17/1.54 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 1.17/1.54 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 1.17/1.54 ), Z ), U ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 1.17/1.54 ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 1.17/1.54 ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.17/1.54 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.17/1.54 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 1.17/1.54 =( Y, T ) ],
% 1.17/1.54 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 1.17/1.54 =( X, T ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Z ) ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ) ), U ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.17/1.54 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ ~( =( 'c_Product__Type_OSigma'( X, hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), Z ), T ), Z, Y ), 'c_Product__Type_OSigma'( U, hAPP(
% 1.17/1.54 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), Z ), T ), Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( Y ), W ), T ) ) ), =( X, U ) ],
% 1.17/1.54 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.17/1.54 , Z, V2, Y ) ) ],
% 1.17/1.54 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.17/1.54 , V2, Z, Y ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.17/1.54 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.17/1.54 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X ), U ), Y ) )
% 1.17/1.54 ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.17/1.54 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ],
% 1.17/1.54 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.17/1.54 [ =( 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_prod'( Y, X ) )
% 1.17/1.54 , 'tc_fun'( X, Z ), Y ), hAPP( 'c_COMBB'( 'tc_prod'( Y, X ), Z, X ), T )
% 1.17/1.54 ), 'c_Pair'( Y, X ) ), Y, X, Z ), T ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X )
% 1.17/1.54 , Y ), X ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ),
% 1.17/1.54 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ) )
% 1.17/1.54 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.17/1.54 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.17/1.54 'tc_bool' ) ) ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.17/1.54 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( 'c_Collect'( Z ), X ) ) ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), X ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ), Z ), hAPP(
% 1.17/1.54 'c_COMBK'( X, Y ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.17/1.54 T ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.17/1.54 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.17/1.54 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.54 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.17/1.54 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.17/1.54 , Z ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'( hAPP(
% 1.17/1.54 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.17/1.54 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.54 , Y ), Z ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.54 , Y ), Z ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.54 , Y ), Z ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( 'tc_prod'( U, X ) ), hAPP( hAPP( 'c_Pair'( U, X ), T ), Y )
% 1.17/1.54 ), 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP( 'c_Pair'( X, T ), Y ), U ) ),
% 1.17/1.54 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.17/1.54 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.54 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_COMBK'( X, Y ), Z ), T ), Z ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.17/1.54 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.17/1.54 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , T ), Z ) ) ) ) ],
% 1.17/1.54 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( T
% 1.17/1.54 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ), U ) ), W ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( T,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ), W ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), T ) ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 1.17/1.54 , 'c_List_Olist_ONil'( X ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 1.17/1.54 , 'c_List_Olist_ONil'( X ) ) ],
% 1.17/1.54 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 1.17/1.54 ) ],
% 1.17/1.54 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Z ), T ) ) ), =( hAPP( T, U ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.17/1.54 hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 1.17/1.54 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.17/1.54 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 1.17/1.54 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ), Z ), T ) )
% 1.17/1.54 , hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ) ), Y ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.17/1.54 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.17/1.54 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.17/1.54 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a',
% 1.17/1.54 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 ), Z ) ), T ), T ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.54 ), T ) ), Y ) ],
% 1.17/1.54 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.17/1.54 Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.17/1.54 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.17/1.54 'c_Orderings_Oorder'( V0, U, W ) ) ],
% 1.17/1.54 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Z ), T ) ) ), =( hAPP( T, U ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.17/1.54 hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.54 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y,
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), 'c_Orderings_Oord__class_OLeast'( Y, X ) ), Z ) ),
% 1.17/1.54 ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.17/1.54 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Omono'( U, W, X ), Y ) ) ), ~(
% 1.17/1.54 'c_Orderings_Oorder'( U, V0, W ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.17/1.54 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ), Y ) ) ) ],
% 1.17/1.54 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.54 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.17/1.54 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.17/1.54 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.17/1.54 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.17/1.54 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.17/1.54 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.17/1.54 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ) ), hAPP(
% 1.17/1.54 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.17/1.54 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.17/1.54 ) ],
% 1.17/1.54 [ =( 'c_Product__Type_Oscomp'( hAPP( 'c_Pair'( X, Y ), Z ), T, Y, X, Y,
% 1.17/1.54 U ), hAPP( T, Z ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ) ) ), Y ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ), Y ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.17/1.54 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.17/1.54 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.17/1.54 ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.54 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.54 ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.17/1.54 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ), Y ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.54 Z ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.54 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 1.17/1.54 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 1.17/1.54 ), U ) ) ],
% 1.17/1.54 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.17/1.54 Y, X ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.17/1.54 Y, X ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( Y, Z ), T ) ),
% 1.17/1.54 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( U, Z ) ),
% 1.17/1.54 hAPP( U, T ) ) ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( Y
% 1.17/1.54 , W, X ), U ) ) ), ~( 'c_Orderings_Olinorder'( V0, Y, W ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.17/1.54 'c_Orderings_Olinorder'( V0, U, W ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.17/1.54 ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.17/1.54 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), hAPP(
% 1.17/1.54 hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), W ), T ), U ) ) ), =( hAPP( Z, V0 )
% 1.17/1.54 , hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.17/1.54 hAPP( hAPP( 'c_Pair'( X, X ), V0 ), U ) ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP(
% 1.17/1.54 'c_Lambda_OdB_OApp', Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.54 'c_Type_Otyping', X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.54 'c_Type_Otyping', X ), Y ), 'c_Type_Otype_OFun'( U, T ) ) ) ) ],
% 1.17/1.54 [ =( 'c_Finite__Set_Olattice_OSup__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.17/1.54 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice'( U, T, W, V0, V1, X, V2, V3, Z )
% 1.17/1.54 ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ) ), U ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ),
% 1.17/1.54 =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.17/1.54 X ), Y ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.17/1.54 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.54 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.17/1.54 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.54 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.17/1.54 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 1.17/1.54 'c_List_Olist_ONil'( Z ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( T
% 1.17/1.54 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ), U ) ), W ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( T,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ), W ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.54 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.54 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 1.17/1.54 X, T ) ) ],
% 1.17/1.54 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 1.17/1.54 , T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.17/1.54 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Y, Z ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , T ), Z ) ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.17/1.54 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.17/1.54 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.17/1.54 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.17/1.54 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.17/1.54 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.17/1.54 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.17/1.54 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.17/1.54 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( 't_a'
% 1.17/1.54 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.17/1.54 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.17/1.54 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ), hAPP( hAPP(
% 1.17/1.54 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( 't_a'
% 1.17/1.54 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 ) ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.17/1.54 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.54 Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.54 Y ), Z ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ),
% 1.17/1.54 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X
% 1.17/1.54 ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.17/1.54 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X ) ),
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ),
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ) ), 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.54 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP(
% 1.17/1.54 'c_COMBC'( X, X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ),
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.17/1.54 , X ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.17/1.54 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.17/1.54 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.17/1.54 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.17/1.54 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.17/1.54 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.17/1.54 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.17/1.54 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.17/1.54 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.17/1.54 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' )
% 1.17/1.54 , 'c_in'( X ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' )
% 1.17/1.54 , 'tc_bool' ), 'c_in'( X ) ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( hAPP(
% 1.17/1.54 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.17/1.54 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.17/1.54 X, Z ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.17/1.54 X, Z ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.17/1.54 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 ), Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.17/1.54 ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.17/1.54 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.17/1.54 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.17/1.54 'c_Collect'( Z ), X ) ) ) ) ],
% 1.17/1.54 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.17/1.54 'c_List_Olist_ONil'( Y ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.17/1.54 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.54 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.54 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), X ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X ), Z ), hAPP(
% 1.17/1.54 'c_COMBK'( X, Y ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( Z, T ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_HOL_Oinduct__forall'( X, Z ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.17/1.54 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.54 X ), 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.17/1.54 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ) ), =( Y,
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.17/1.54 U, W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), T ) ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.17/1.54 U, W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_Product__Type_Oscomp'( X, Y, Z, T, U, W ), V0 ), hAPP(
% 1.17/1.54 'c_split'( Y, T, U, W ), hAPP( X, V0 ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ), hAPP( 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ) )
% 1.17/1.54 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.54 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.17/1.54 ), T ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.54 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.17/1.54 ), Z ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.17/1.54 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.54 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.17/1.54 ), T ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.54 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.17/1.54 ), Z ) ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.54 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 ), T ) ), U ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.17/1.54 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ), =( Z,
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.54 'c_fequal'( X ) ), Y ) ) ), Z ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool'
% 1.17/1.54 , X ), 'c_Not' ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), hAPP( 'c_Collect'( X ), Y ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), T ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ) ), =( hAPP( T, U ), 'c_Orderings_Otop__class_Otop'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z )
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.17/1.54 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.54 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.17/1.54 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.17/1.54 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.17/1.54 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.17/1.54 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ), W ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.17/1.54 ), 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ) ), U ) ), W ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.54 , Y ) ), U ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.54 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.17/1.54 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.17/1.54 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.17/1.54 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.17/1.54 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a',
% 1.17/1.54 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.17/1.54 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ),
% 1.17/1.54 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.54 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X ) ),
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.54 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.54 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.54 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.17/1.54 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.17/1.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.17/1.54 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.17/1.54 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.17/1.54 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.17/1.54 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.17/1.54 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.17/1.54 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.17/1.54 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.17/1.54 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 1.17/1.54 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 1.17/1.54 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 1.17/1.54 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.54 X ), Y ) ), Z ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.54 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.17/1.54 ), U ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.54 'tc_fun'( Y, 'tc_bool' ) ), hAPP( U, Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.54 'tc_bool' ) ), T ), U ) ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.17/1.54 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.17/1.54 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.54 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.54 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.17/1.54 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.17/1.54 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.54 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.54 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.54 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( X, 'c_Fun_Oid'( Y ) ), Z ), Z ), ~( hBOOL(
% 1.17/1.54 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, U ) ) )
% 1.17/1.54 ],
% 1.17/1.54 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.17/1.54 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.17/1.54 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.17/1.54 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.17/1.54 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.17/1.54 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.17/1.54 X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.17/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.17/1.54 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.17/1.54 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( Y, Z ) ) ) ), ~( hBOOL(
% 1.17/1.54 'c_Record_Oiso__tuple__update__accessor__cong__assist'( U, Y, W, V0 ) ) )
% 1.17/1.54 , =( hAPP( hAPP( U, X ), Z ), hAPP( hAPP( U, T ), Z ) ) ],
% 1.17/1.54 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~( hBOOL(
% 1.17/1.55 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ) )
% 1.17/1.55 , =( hAPP( hAPP( T, X ), Z ), Z ) ],
% 1.17/1.55 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.17/1.55 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.17/1.55 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.55 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), Z ) ), T ) ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), T ), U ), W ), hAPP( U
% 1.17/1.55 , hAPP( T, W ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.55 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.17/1.55 Z ) ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.55 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.17/1.55 Z ) ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.55 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.55 ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OInf__fin'( Z, T, U ) )
% 1.17/1.55 , 'c_Finite__Set_Olattice_OInf__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.17/1.55 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.17/1.55 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.17/1.55 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.17/1.55 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.17/1.55 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.17/1.55 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.17/1.55 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, U ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.17/1.55 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ) ), Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ) ) ],
% 1.17/1.55 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ),
% 1.17/1.55 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ) ), hAPP( 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ) )
% 1.17/1.55 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.55 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.17/1.55 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.17/1.55 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.17/1.55 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 ), T ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.17/1.55 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.17/1.55 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.17/1.55 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Y ), Z ), 'c_Fun_Oid'( Y ) ), Z )
% 1.17/1.55 ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, X, Y ), 'c_Fun_Oid'( X ) ), Z ), Z )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 1.17/1.55 =( Y, T ) ],
% 1.17/1.55 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 1.17/1.55 =( X, Z ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.17/1.55 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.17/1.55 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.17/1.55 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.17/1.55 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.17/1.55 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.17/1.55 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.17/1.55 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.17/1.55 , Z, V2, Y ) ) ],
% 1.17/1.55 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.17/1.55 , V2, Z, Y ) ) ],
% 1.17/1.55 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.17/1.55 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.17/1.55 ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.17/1.55 Z, Y ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.55 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.17/1.55 ) ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.55 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.17/1.55 ) ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.55 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.17/1.55 ) ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.55 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.17/1.55 ) ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.17/1.55 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.17/1.55 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.17/1.55 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.55 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.17/1.55 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_Fun_Ofcomp'( 't_a', X, Y ), Z ), T ), 'v_x' )
% 1.17/1.55 , hAPP( T, hAPP( Z, 'v_x' ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ) ), U ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ) ), U ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( hAPP( Y, Z ), hAPP( Y, T ) )
% 1.17/1.55 ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) )
% 1.17/1.55 ), ~( 'c_Orderings_Olinorder'( V0, U, W ) ), =( Z, T ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 ), T ) ), U ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.17/1.55 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.17/1.55 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Obounded__lattice'( X ) ),
% 1.17/1.55 'c_Lattices_Obounded__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ) ),
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.17/1.55 , X ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.17/1.55 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.17/1.55 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.17/1.55 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.17/1.55 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.17/1.55 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.55 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.17/1.55 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ),
% 1.17/1.55 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ),
% 1.17/1.55 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.55 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.17/1.55 , Y ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.17/1.55 Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.17/1.55 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.17/1.55 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.17/1.55 ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ) ) ],
% 1.17/1.55 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 1.17/1.55 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.55 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 1.17/1.55 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, X, W, Y, V0, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, X, W, V0, Y, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, W, X, Y, V0, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, W, X, V0, Y, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, X, W, Z, V0, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, X, W, V0, Z, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, W, X, Z, V0, V1 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.17/1.55 , U, W, X, V0, Z, V1 ) ) ],
% 1.17/1.55 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.17/1.55 V0 ), V1 ) ), =( W, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.17/1.55 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.17/1.55 V0 ), V1 ) ), =( V0, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.17/1.55 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.17/1.55 , V0, V1 ) ), =( U, hAPP( hAPP( T, U ), W ) ) ],
% 1.17/1.55 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.17/1.55 , V0, V1 ) ), =( W, hAPP( hAPP( T, U ), W ) ) ],
% 1.17/1.55 [ =( hAPP( X, 'c_Fun_Oid'( Y ) ), 'c_Fun_Oid'( Z ) ), ~( hBOOL(
% 1.17/1.55 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, Z ) ) )
% 1.17/1.55 ],
% 1.17/1.55 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.17/1.55 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.17/1.55 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 1.17/1.55 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.17/1.55 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 1.17/1.55 ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.17/1.55 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 1.17/1.55 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.17/1.55 'tc_bool' ) ) ), W ), X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.17/1.55 'tc_bool' ) ) ), X ), W ), Y ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.55 , T ), X ), Y ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.55 , X ), T ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBB'( X, X, Y ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ) ), Z ) ), T ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.17/1.55 Y, X ), Z ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 ), Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.55 , U ), Y ), Z, T ) ) ],
% 1.17/1.55 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.17/1.55 , Y ), U ), Z, T ) ) ],
% 1.17/1.55 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), X ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.17/1.55 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y )
% 1.17/1.55 ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ),
% 1.17/1.55 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'(
% 1.17/1.55 'tc_prod'( X, Y ) ) ) ), 'c_Pair'( X, Y ) ) ) ), Z ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.17/1.55 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y ) ), 'tc_fun'( Y,
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), X ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.17/1.55 , 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'( 'tc_prod'( X, Y ) ) ) ),
% 1.17/1.55 'c_Pair'( X, Y ) ) ) ), T ) ) ), =( Z, T ) ],
% 1.17/1.55 [ =( 'c_Transitive__Closure_Ortranclp'(
% 1.17/1.55 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 1.17/1.55 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.17/1.55 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), =( Y,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.55 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 1.17/1.55 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 1.17/1.55 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 1.17/1.55 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.17/1.55 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.17/1.55 X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.55 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.17/1.55 Y ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ), Y ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ), Y ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ), Y ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( Y, Z ), T ) ),
% 1.17/1.55 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( U, Z ) ), hAPP( U, T ) )
% 1.17/1.55 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( W, V0, X ), U )
% 1.17/1.55 ) ), ~( 'c_Orderings_Olinorder'( Y, W, V0 ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.55 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.17/1.55 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Ostrict__mono'( W, V0, X ), Y )
% 1.17/1.55 ) ), ~( 'c_Orderings_Olinorder'( U, W, V0 ) ) ],
% 1.17/1.55 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 1.17/1.55 Z ) ) ) ],
% 1.17/1.55 [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.17/1.55 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 1.17/1.55 ), T ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.55 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.17/1.55 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.17/1.55 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.55 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.55 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 X ), Y ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.17/1.55 , Z ) ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.17/1.55 , Z ) ), Y ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( 'c_Collect'( X )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_fequal'( X ) ), Y ) ) ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.17/1.55 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( Z, Y ) ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.55 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.17/1.55 hBOOL( hAPP( Z,
% 1.17/1.55 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.17/1.55 , T, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), Z )
% 1.17/1.55 , Y ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T
% 1.17/1.55 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool'
% 1.17/1.55 ), X ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.17/1.55 Y ) ), U ) ) ) ), Z ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.17/1.55 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 1.17/1.55 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.17/1.55 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.17/1.55 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 1.17/1.55 ) ), U ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.17/1.55 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.17/1.55 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.17/1.55 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.17/1.55 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.17/1.55 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.17/1.55 V0, V1, Z, Y, V2 ) ) ],
% 1.17/1.55 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.17/1.55 V0, V1, Y, Z, V2 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.17/1.55 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.17/1.55 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.17/1.55 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.17/1.55 V2, V3, V4 ) ) ],
% 1.17/1.55 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.17/1.55 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.17/1.55 V2, V3, V4 ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.17/1.55 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.55 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.17/1.55 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.17/1.55 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.17/1.55 X ), Y ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.17/1.55 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.17/1.55 , Y ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.17/1.55 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_in'( X ), Z ), U ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.17/1.55 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_in'( X ), Z ), U ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.17/1.55 ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( W,
% 1.17/1.55 'tc_bool' ) ), U ), X ), Z ) ) ) ],
% 1.17/1.55 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.17/1.55 , Y ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( W,
% 1.17/1.55 'tc_bool' ) ), Z ), T ), U ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.17/1.55 ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( W,
% 1.17/1.55 'tc_bool' ) ), U ), X ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 ), T ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.17/1.55 Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_fequal'( X ) ), Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.17/1.55 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ) ), =( Y,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.17/1.55 'c_Orderings_Oorder_Omono'( Y, Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.17/1.55 'c_Orderings_Oorder_Ostrict__mono'( U, Z, X ), T ) ) ), ~(
% 1.17/1.55 'c_Orderings_Oorder'( Y, U, Z ) ) ],
% 1.17/1.55 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.17/1.55 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.17/1.55 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ), U ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), Z ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ) ) ],
% 1.17/1.55 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.55 X, 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( X ) ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), Y ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.17/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.17/1.55 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.17/1.55 ) ],
% 1.17/1.55 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.17/1.55 , Y ), U ), W ) ) ), =( Z, U ) ],
% 1.17/1.55 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.17/1.55 , Y ), U ), W ) ) ), =( T, W ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.17/1.55 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 1.17/1.55 ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.17/1.55 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.17/1.55 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), U ), Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 1.17/1.55 Z ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 1.17/1.55 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, T ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Pair'( Z, T ), U ), Y ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.17/1.55 'tc_prod'( Z, T ) ), hAPP( hAPP( 'c_Pair'( Z, T ), U ), X ) ), W ) ) ),
% 1.17/1.55 ~( hBOOL( 'c_Relation_Osingle__valued'( W, Z, T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_COMBC'( X, X,
% 1.17/1.55 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ) ),
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.17/1.55 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.17/1.55 , X ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ), W ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.17/1.55 ), 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ) ), U ) ), W ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ), U ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), Z ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ) ) ],
% 1.17/1.55 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.17/1.55 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 1.17/1.55 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.17/1.55 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 1.17/1.55 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.17/1.55 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 1.17/1.55 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ), =( Z,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.17/1.55 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ) ), Z ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( T, U ), W )
% 1.17/1.55 ) ), ~( hBOOL( hAPP( hAPP( Z, U ), W ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Product__Type_Oscomp'( X, Y, 't_a', Z, T, U ), 'v_x' ),
% 1.17/1.55 hAPP( 'c_split'( Y, Z, T, U ), hAPP( X, 'v_x' ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.17/1.55 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 1.17/1.55 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_fequal'( X ), Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.17/1.55 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.17/1.55 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ) ), U ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ) ) ],
% 1.17/1.55 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 1.17/1.55 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.17/1.55 ), U ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), hAPP( U, Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), T ), U ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ), Y ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), hAPP( hAPP( 'c_Fun_Ofcomp'(
% 1.17/1.55 X, T, Y ), U ), W ) ), V0 ), hAPP( hAPP( 'c_Fun_Ofcomp'( X, T, Z ), U ),
% 1.17/1.55 hAPP( hAPP( 'c_Fun_Ofcomp'( T, Y, Z ), W ), V0 ) ) ) ],
% 1.17/1.55 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.17/1.55 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.17/1.55 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.17/1.55 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.17/1.55 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.17/1.55 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.17/1.55 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.17/1.55 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 1.17/1.55 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.17/1.55 Z ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.17/1.55 [ =( 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' )
% 1.17/1.55 , 'c_fequal'( X ) ), Y ), X ), Y ) ],
% 1.17/1.55 [ 'c_Orderings_Olinorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.17/1.55 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Olinorder'( Y, Z
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ =( 'c_The'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X )
% 1.17/1.55 ), Y ), X ), Y ) ],
% 1.17/1.55 [ 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.17/1.55 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, X ), ~(
% 1.17/1.55 'c_Lattices_Odistrib__lattice'( Y, Z, U, T, X ) ) ],
% 1.17/1.55 [ 'c_Lattices_Obounded__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.17/1.55 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, W, V0, X ), ~(
% 1.17/1.55 'c_Lattices_Obounded__lattice'( Y, Z, U, T, V0, W, X ) ) ],
% 1.17/1.55 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, hAPP( 'c_COMBC'( Z, Z
% 1.17/1.55 , 'tc_bool' ), T ), hAPP( 'c_COMBC'( Z, Z, 'tc_bool' ), U ), W, V0, V1,
% 1.17/1.55 V2, Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, T, U, V0, W,
% 1.17/1.55 V2, V1, Z ) ) ],
% 1.17/1.55 [ 'c_Orderings_Oorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.17/1.55 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Oorder'( Y, Z, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), 'c_Product__Type_Oscomp'( T
% 1.17/1.55 , U, X, W, V0, Y ) ), V1 ), 'c_Product__Type_Oscomp'( T, hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( W, 'tc_fun'( Y, Z ), 'tc_fun'( V0, Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( V0, Y ), 'tc_fun'( 'tc_fun'( Y, Z ), 'tc_fun'( V0, Z
% 1.17/1.55 ) ), W ), 'c_Fun_Ofcomp'( V0, Y, Z ) ), U ) ), V1 ), X, W, V0, Z ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_fequal'( X ) ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.17/1.55 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.17/1.55 'c_List_Ofilter'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ),
% 1.17/1.55 'c_and' ), Y ) ), X ), Z, T ) ) ],
% 1.17/1.55 [ hBOOL( 'c_HOL_Oinduct__forall'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_HOL_Oinduct__conj' ), Y ) ), Z ), X ) ), ~( hBOOL(
% 1.17/1.55 hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( Y, X ) ),
% 1.17/1.55 'c_HOL_Oinduct__forall'( Z, X ) ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( X,
% 1.17/1.55 Y ) ), 'c_HOL_Oinduct__forall'( Z, Y ) ) ), ~( hBOOL(
% 1.17/1.55 'c_HOL_Oinduct__forall'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.17/1.55 , 'c_HOL_Oinduct__conj' ), X ) ), Z ), Y ) ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.17/1.55 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.17/1.55 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.17/1.55 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.55 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.17/1.55 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 X, Y, 'tc_bool' ), T ),
% 1.17/1.55 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.17/1.55 , T, Y, X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y
% 1.17/1.55 ), Z ), Y ) ) ],
% 1.17/1.55 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( X
% 1.17/1.55 , Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( W
% 1.17/1.55 , Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.17/1.55 'c_FunDef_OTHE__default'( U ) ), V0 ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.17/1.55 X, Y ), hAPP( W, Y ) ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X,
% 1.17/1.55 Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP(
% 1.17/1.55 hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T
% 1.17/1.55 ), 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.17/1.55 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.17/1.55 X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.17/1.55 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'( T
% 1.17/1.55 , 'tc_bool' ), T ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), T ), Z ), 'c_FunDef_OTHE__default'( T ) ), U ) ), X ), Y ) )
% 1.17/1.55 ), hBOOL( hAPP( hAPP( X, Y ),
% 1.17/1.55 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X, Y, W, Z,
% 1.17/1.55 T ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), W ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( X, Y ),
% 1.17/1.55 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z, T, U ) )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP( X, Y ),
% 1.17/1.55 hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.17/1.55 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.17/1.55 [ =( hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), T ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), T ), Z ), 'c_FunDef_OTHE__default'( T ) ), U ) ), W ), Y ) )
% 1.17/1.55 , ~( hBOOL( hAPP( hAPP( W, Y ), hAPP( X, Y ) ) ) ), hBOOL( hAPP( hAPP( W
% 1.17/1.55 , Y ), 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( W, Y
% 1.17/1.55 , V0, Z, T ) ) ), ~( hBOOL( hAPP( hAPP( W, Y ), V0 ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.17/1.55 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ), hAPP( hAPP( 'c_COMBB'( U,
% 1.17/1.55 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), 'c_FunDef_OTHE__default'( U
% 1.17/1.55 ) ), W ) ), X ), Y ), V0 ), ~( hBOOL( hAPP( hAPP( X, Y ), V0 ) ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( Y, 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), Y ), X ),
% 1.17/1.55 'c_FunDef_OTHE__default'( Y ) ), Z ) ), T ), U ), hAPP( Z, U ) ), hBOOL(
% 1.17/1.55 hAPP( W, U ) ), ~( hBOOL( hAPP( W,
% 1.17/1.55 'c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1'( W, T, X, Y )
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( Y, 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), Y ), X ),
% 1.17/1.55 'c_FunDef_OTHE__default'( Y ) ), Z ) ), T ), U ), W ), ~( hBOOL( hAPP(
% 1.17/1.55 hAPP( T, U ), W ) ) ), hBOOL( hAPP( hAPP( T, U ),
% 1.17/1.55 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( T, U, V0, X, Y ) )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( T, U ), V0 ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_implies' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.17/1.55 'c_Collect'( X ), Y ) ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_FunDef_OTHE__default'( 't_a' ), 'v_d' ), 'v_P' ),
% 1.17/1.55 'c_HOL_OIf'( hAPP( 'c_Ex'( 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a',
% 1.17/1.55 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.17/1.55 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool'
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.17/1.55 't_a' ), 'c_implies' ), 'v_P' ) ) ), hAPP( 'c_COMBC'( 't_a', 't_a',
% 1.17/1.55 'tc_bool' ), 'c_fequal'( 't_a' ) ) ) ) ) ), 'c_The'( 'v_P', 't_a' ),
% 1.17/1.55 'v_d', 't_a' ) ) ],
% 1.17/1.55 [ =( 'c_Transitive__Closure_Ortranclp'( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ) ), Y ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X )
% 1.17/1.55 , 'c_Not' ) ), 'c_fequal'( X ) ) ), X ),
% 1.17/1.55 'c_Transitive__Closure_Ortranclp'( Y, X ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.17/1.55 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 1.17/1.55 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 1.17/1.55 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.17/1.55 ), X ), Y ) ],
% 1.17/1.55 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 1.17/1.55 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 1.17/1.55 X, T ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_Olift'( X, Y ) ), Z
% 1.17/1.55 ), Y ), X ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), hAPP( 'c_Collect'( Y ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', Y ), 'c_All'( X ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ), Y ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.17/1.55 'c_in'( X ) ), Z ) ) ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_fun'(
% 1.17/1.55 Y, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ) ), 'c_in'( Y ) ) ), T ) ) ) ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.17/1.55 'c_in'( X ) ), Y ) ) ) ), 'c_lessequals'( X ) ) ) ) ) ) ],
% 1.17/1.55 [ =( 'c_Predicate_OPowp'( X, 'v_B', 't_a' ), hAPP( 'c_All'( 't_a' ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.17/1.55 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.17/1.55 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_B' ) ) ), X ) ) ) ],
% 1.17/1.55 [ =( 'c_Relation_Otrans'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.17/1.55 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.17/1.55 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.17/1.55 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.17/1.55 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.17/1.55 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.17/1.55 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.17/1.55 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.17/1.55 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.17/1.55 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.17/1.55 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.17/1.55 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.17/1.55 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.17/1.55 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.17/1.55 't_a' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBC'(
% 1.17/1.55 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.17/1.55 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a'
% 1.17/1.55 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.17/1.55 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a',
% 1.17/1.55 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.17/1.55 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'(
% 1.17/1.55 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.17/1.55 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.17/1.55 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.17/1.55 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.17/1.55 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.17/1.55 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.17/1.55 ) ) ) ), 'v_r' ) ) ) ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.17/1.55 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ),
% 1.17/1.55 'c_Collect'( Y ) ), T ), X, Y ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.17/1.55 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.17/1.55 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.17/1.55 [ =( 'c_lessequals'( 'tc_bool' ), 'c_implies' ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ), ~(
% 1.17/1.55 'c_Lambda_Obeta'( T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping'
% 1.17/1.55 , X ), T ), Z ) ) ) ],
% 1.17/1.55 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X
% 1.17/1.55 ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 'c_Lambda_OdB_OVar'( Y
% 1.17/1.55 ) ), hAPP( X, Y ) ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ) ), ~(
% 1.17/1.55 hBOOL( 'c_List_Olistsp'( X, Z, T ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, Y
% 1.17/1.55 , T ) ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( hAPP( X,
% 1.17/1.55 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 1.17/1.55 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.17/1.55 'c_List_Oappend'( T, Y, Z ), Z ) ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.17/1.55 'c_List_Oappend'( Y, T, Z ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.17/1.55 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.17/1.55 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Z,
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'( Z ) ), U ) ) ) ), W ) ) )
% 1.17/1.55 ), V0 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.17/1.55 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.17/1.55 , Z ), 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( Y, 'tc_bool' ), Z ), hAPP( 'c_COMBS'( Y, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), V0 ) ) ) ), hAPP( 'c_COMBC'( Y,
% 1.17/1.55 Z, 'tc_bool' ), W ) ) ) ) ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) )
% 1.17/1.55 , ~( 'c_Finite__Set_Ofinite'( V0, Y ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.17/1.55 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.17/1.55 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, X ), 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.17/1.55 'tc_bool', Y ) ), 'c_fequal'( X ) ) ), Z ) ) ) ), T ) ) ), X ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.17/1.55 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.17/1.55 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.17/1.55 'c_in'( X ) ), Y ) ) ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_lessequals'( X ) ) ) ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), U ),
% 1.17/1.55 hAPP( Y, U ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.17/1.55 ), U ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_HOL_Oord'( 't_a' ) ), =( 'c_Orderings_Oord__class_OLeast'(
% 1.17/1.55 'v_P', 't_a' ), 'c_The'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.17/1.55 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.17/1.55 ), 'c_implies' ), 'v_P' ) ) ), 'c_lessequals'( 't_a' ) ) ) ), 't_a' ) )
% 1.17/1.55 ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_e____' ), 'v_u____' ),
% 1.17/1.55 'v_T____' ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_ea______' ),
% 1.17/1.55 'v_ua______' ), 'v_T____' ) ) ],
% 1.17/1.55 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.55 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), U ) ) ), Z ) ) ), X ) )
% 1.17/1.55 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), U ), Y ) ) ],
% 1.17/1.55 [ 'c_Recdef_Oadm__wf'( X, hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ),
% 1.17/1.55 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y
% 1.17/1.55 , 'tc_fun'( Y, Z ) ), 'tc_fun'( 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ),
% 1.17/1.55 'tc_fun'( Y, Z ) ), 'c_COMBS'( Y, Y, Z ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_fun'( Y, Z ) ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ),
% 1.17/1.55 'tc_fun'( Y, Z ) ), hAPP( 'c_COMBB'( 'tc_fun'( Y, Z ), 'tc_fun'( Y, Z ),
% 1.17/1.55 Y ), T ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ), 'tc_fun'( 'tc_prod'(
% 1.17/1.55 Y, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ) ), 'c_Recdef_Ocut'(
% 1.17/1.55 Y, Z ) ), X ) ) ) ), 'c_COMBI'( Y ) ), Y, Z ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), Z ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP( 'c_COMBC'( X, Y, 'tc_bool' )
% 1.17/1.55 , Z ) ) ) ) ],
% 1.17/1.55 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.17/1.55 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.17/1.55 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.17/1.55 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.17/1.55 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.17/1.55 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.17/1.55 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.17/1.55 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBC'( V0, 'tc_fun'( U, W ), 'tc_fun'( U
% 1.17/1.55 , V0 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0 ), 'tc_fun'( 'tc_fun'( U
% 1.17/1.55 , W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W, V0, U ) ), X ) ), Z ), Y
% 1.17/1.55 , T, V0, U ) ) ],
% 1.17/1.55 [ =( 'c_Relation_Osingle__valued'( 'v_r', 't_a', 't_b' ), hAPP( 'c_All'(
% 1.17/1.55 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool',
% 1.17/1.55 't_a' ), 'c_All'( 't_b' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.17/1.55 't_b', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b',
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.17/1.55 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_b' ),
% 1.17/1.55 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.17/1.55 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.17/1.55 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.17/1.55 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.17/1.55 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.17/1.55 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.17/1.55 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.17/1.55 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.17/1.55 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool', 't_b' ), 'c_All'(
% 1.17/1.55 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_b', 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ), 't_a' )
% 1.17/1.55 , 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ),
% 1.17/1.55 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b',
% 1.17/1.55 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_b', 'tc_bool', 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 't_b' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b'
% 1.17/1.55 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.17/1.55 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a',
% 1.17/1.55 't_b' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.17/1.55 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'(
% 1.17/1.55 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.17/1.55 'c_fequal'( 't_b' ) ) ) ) ) ) ) ],
% 1.17/1.55 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.17/1.55 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.17/1.55 'v_x', 't_a' ) ) ) ],
% 1.17/1.55 [ =( 'c_Orderings_Oord_OLeast'( X, 'v_P', 't_a' ), 'c_The'( hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a'
% 1.17/1.55 ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a',
% 1.17/1.55 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ), 'v_P' ) ) ), X ) ) ),
% 1.17/1.55 't_a' ) ) ],
% 1.17/1.55 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.17/1.55 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.17/1.55 , Y ) ) ) ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.17/1.55 , Z, U, W, V0, V1, V2, V3, T ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.17/1.55 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.17/1.55 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 1.17/1.55 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 1.17/1.55 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 1.17/1.55 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 1.17/1.55 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 1.17/1.55 ) ) ), V0 ) ), T ) ) ],
% 1.17/1.55 [ =( 'c_Record_Oiso__tuple__update__accessor__cong__assist'( 'v_upd',
% 1.17/1.55 'v_acc', 't_a', 't_b' ), hAPP( hAPP( 'c_and', hAPP( 'c_All'( 'tc_fun'(
% 1.17/1.55 't_a', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ),
% 1.17/1.55 'tc_bool', 'tc_fun'( 't_a', 't_a' ) ), 'c_All'( 't_b' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.17/1.55 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'( 't_b'
% 1.17/1.55 , 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), 'c_COMBS'( 't_b', 't_b',
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.17/1.55 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP(
% 1.17/1.55 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'(
% 1.17/1.55 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'(
% 1.17/1.55 't_b', 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 't_b', 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 'tc_fun'( 't_b',
% 1.17/1.55 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ),
% 1.17/1.55 'c_COMBS'( 't_b', 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 't_b', 'tc_fun'( 't_a', 't_a' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.17/1.55 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.17/1.55 't_a' ), 'tc_fun'( 't_b', 't_b' ), 't_b' ), 'v_upd' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_b', 't_a' ), 'tc_fun'( 't_b', 'tc_fun'( 't_a',
% 1.17/1.55 't_a' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 't_a', 'tc_fun'(
% 1.17/1.55 't_a', 't_a' ), 't_b' ), 'c_COMBK'( 't_a', 't_a' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_a' ), 'tc_fun'(
% 1.17/1.55 't_b', 't_a' ) ), 'c_COMBB'( 't_a', 't_a', 't_b' ) ), 'v_acc' ) ) ) ) ),
% 1.17/1.55 'c_COMBI'( 't_b' ) ) ) ) ), 'v_upd' ) ) ) ), hAPP( 'c_All'( 't_b' ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBS'( 't_b', 't_b', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_b'
% 1.17/1.55 , 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'( 't_b' ) ), hAPP(
% 1.17/1.55 'v_upd', 'c_Fun_Oid'( 't_a' ) ) ) ), 'c_COMBI'( 't_b' ) ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_COMBS'(
% 1.17/1.55 Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( Y,
% 1.17/1.55 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y,
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP(
% 1.17/1.55 'c_COMBC'( X, Y, 'tc_bool' ), T ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.17/1.55 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.17/1.55 , Y ) ) ) ), hAPP( 'c_COMBC'( T, T, 'tc_bool' ), U ) ) ) ) ) ), ~(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 1.17/1.55 ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.17/1.55 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X ), 'tc_fun'(
% 1.17/1.55 T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ) )
% 1.17/1.55 ), Y ) ) ) ), T ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.17/1.55 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.17/1.55 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, X ), 'c_Fun_Oid'( X ) ), hAPP(
% 1.17/1.55 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.17/1.55 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.55 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( U ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' )
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.17/1.55 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBS'( Y, 'tc_fun'( U, 'tc_bool' )
% 1.17/1.55 , 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.17/1.55 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.17/1.55 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ) ), X ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBS'( U,
% 1.17/1.55 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'(
% 1.17/1.55 U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), U ), 'c_and' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, X ) ), 'tc_fun'( Y, 'tc_fun'( U,
% 1.17/1.55 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( U, X ),
% 1.17/1.55 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, X ) ),
% 1.17/1.55 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBB'( 'tc_fun'( U, X
% 1.17/1.55 ), 'tc_fun'( U, 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, 'tc_bool' ) ), X )
% 1.17/1.55 , 'c_COMBB'( X, 'tc_bool', U ) ), 'c_fequal'( X ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ),
% 1.17/1.55 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ) ) ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( Y, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( U
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_bool', U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.17/1.55 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), V0 ) ) ) ) ) ) )
% 1.17/1.55 ), ~( 'c_Fun_Oinj__on'( 'c_split'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U
% 1.17/1.55 , X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ), Y, U, X ),
% 1.17/1.55 'c_Product__Type_OSigma'( T, hAPP( 'c_COMBK'( 'tc_fun'( U, 'tc_bool' ), Y
% 1.17/1.55 ), V0 ), Y, U ), 'tc_prod'( Y, U ), X ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OSup__fin'( Y, Z, T ) ),
% 1.17/1.55 'c_Finite__Set_Olattice_OSup__fin'( Y, U, T ) ),
% 1.17/1.55 'c_Finite__Set_Olattice_OSup__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.17/1.55 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.17/1.55 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.17/1.55 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.17/1.55 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.17/1.55 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.17/1.55 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.17/1.55 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.17/1.55 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.17/1.55 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.17/1.55 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.17/1.55 V0, X, Y, T ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OInf__fin'( Y, Z, T ) ),
% 1.17/1.55 'c_Finite__Set_Olattice_OInf__fin'( Y, U, T ) ),
% 1.17/1.55 'c_Finite__Set_Olattice_OInf__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.17/1.55 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.17/1.55 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.17/1.55 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.17/1.55 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.17/1.55 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.17/1.55 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.17/1.55 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.17/1.55 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.17/1.55 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.17/1.55 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.17/1.55 V0, Y, X, T ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.17/1.55 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.17/1.55 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.17/1.55 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.55 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.17/1.55 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.17/1.55 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.17/1.55 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.17/1.55 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.17/1.55 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.17/1.55 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.17/1.55 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.17/1.55 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.17/1.55 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.17/1.55 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ),
% 1.17/1.55 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.17/1.55 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.17/1.55 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.17/1.55 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.17/1.55 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.17/1.55 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.17/1.55 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.17/1.55 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.17/1.55 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.17/1.55 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X ) ) ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.17/1.55 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.17/1.55 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.17/1.55 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.17/1.55 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.17/1.55 , X ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.17/1.55 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.17/1.55 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( X, 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBC'( T, X,
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ),
% 1.17/1.55 'c_lessequals'( X ) ), Y ) ) ), Y ) ) ) ), T ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.17/1.55 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 1.17/1.55 'c_InductTermi_OIT', X ) ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), Y ), Z ) ), 'c_Lambda_Olift'( T
% 1.17/1.55 , Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), T ), U
% 1.17/1.55 ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_Collect'( X ), Z )
% 1.17/1.55 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.17/1.55 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), X ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_bool', X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.17/1.55 'c_fequal'( X ) ), Y ) ) ) ), Z ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.17/1.55 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.17/1.55 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.17/1.55 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.17/1.55 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.17/1.55 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.17/1.55 ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'(
% 1.17/1.55 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' )
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.17/1.55 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_lessequals'( 't_b' ) ),
% 1.17/1.55 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.17/1.55 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.17/1.55 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.17/1.55 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.17/1.55 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.17/1.55 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.17/1.55 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.17/1.55 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.17/1.55 ), 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), W ), V0 ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Y ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), W ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, 'tc_fun'( X
% 1.17/1.55 , 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( U,
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.17/1.55 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.17/1.55 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), W ), V0 ) ), hAPP( hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Y ), hAPP(
% 1.17/1.55 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ), W ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, 'tc_fun'( X
% 1.17/1.55 , 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( U,
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.17/1.55 ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.17/1.55 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.17/1.55 'c_Orderings_Oorder_Ostrict__mono'( Y, Z, X ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', 'tc_fun'( Z, X ) ), 'c_All'( Z ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 Z, 'tc_bool' ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBS'( Z, 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' )
% 1.17/1.55 , 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), Z ), 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 'tc_fun'( Z, X ), 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.17/1.55 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ),
% 1.17/1.55 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'(
% 1.17/1.55 Z, 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.17/1.55 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.17/1.55 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Oord__class_Oless'( X ) ) ) ) ),
% 1.17/1.55 'c_COMBI'( 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( T, Y, Z
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Oorder_Omono'( Y,
% 1.17/1.55 Z, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool',
% 1.17/1.55 'tc_fun'( Z, X ) ), 'c_All'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, X ) )
% 1.17/1.55 , hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z )
% 1.17/1.55 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP(
% 1.17/1.55 'c_COMBS'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.17/1.55 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Z ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ),
% 1.17/1.55 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'( Z, X ),
% 1.17/1.55 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'( Z, 'tc_fun'( Z, X ),
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ),
% 1.17/1.55 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.17/1.55 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.17/1.55 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_lessequals'( X ) ) ) ) ), 'c_COMBI'(
% 1.17/1.55 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( Y, T, Z ) ) ],
% 1.17/1.55 [ 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.17/1.55 , X ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X )
% 1.17/1.55 ), Y ) ), Z ), Z, hAPP( 'c_COMBC'( X, X, 'tc_bool' ), T ), hAPP(
% 1.17/1.55 'c_COMBC'( X, X, 'tc_bool' ), U ), Y, W, V0, V1, X ), ~(
% 1.17/1.55 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y, V1, V0, X ) ) ],
% 1.17/1.55 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 1.17/1.55 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), Y ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 1.17/1.55 ), U ), Y ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 1.17/1.55 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 1.17/1.55 ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), X ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 1.17/1.55 ), U ), X ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 1.17/1.55 ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), 'c_InductTermi_OIT'
% 1.17/1.55 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.17/1.55 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.17/1.55 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.17/1.55 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.17/1.55 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.17/1.55 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.17/1.55 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.17/1.55 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.17/1.55 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.17/1.55 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.17/1.55 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.17/1.55 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.17/1.55 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.17/1.55 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.17/1.55 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.17/1.55 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.17/1.55 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ),
% 1.17/1.55 'v_rs____', 'tc_Lambda_OdB' ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), Z ), T
% 1.17/1.55 ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.17/1.55 hAPP( U, W ) ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.17/1.55 T, W ), U ) ) ],
% 1.17/1.55 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.17/1.55 T, W ), hAPP( U, W ) ) ) ],
% 1.17/1.55 [ ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ) ), ~(
% 1.17/1.55 hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), T ), Z ) ), U ), W ) ) ), hBOOL(
% 1.17/1.55 hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Lambda_Osubst', U ), Y ), T ) ), W ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_ea______' ),
% 1.17/1.55 'v_ua______' ), 'v_T____' ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 1.17/1.55 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.17/1.55 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_ea______' ), 'v_ia______' ),
% 1.17/1.55 'v_T____' ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 1.17/1.55 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 1.17/1.55 'v_T_Ha______' ) ) ],
% 1.17/1.55 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.17/1.55 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), 'c_InductTermi_OIT'
% 1.17/1.55 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.17/1.55 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.17/1.55 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.17/1.55 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.17/1.55 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.17/1.55 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.17/1.55 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.17/1.55 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.17/1.55 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.17/1.55 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.17/1.55 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.17/1.55 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.17/1.55 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.17/1.55 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.17/1.55 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.17/1.55 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.17/1.55 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.17/1.55 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ),
% 1.17/1.55 'v_rs____', 'tc_Lambda_OdB' ) ) ],
% 1.17/1.55 [ ~( hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ),
% 1.17/1.55 'c_All'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.17/1.55 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.17/1.55 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.17/1.55 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.17/1.55 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.17/1.55 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.17/1.55 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.17/1.55 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.17/1.55 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.17/1.55 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.17/1.55 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.17/1.55 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.17/1.55 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.17/1.55 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.17/1.55 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.17/1.55 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.17/1.55 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.17/1.55 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.55 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.17/1.55 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.17/1.55 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.17/1.55 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.17/1.55 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.17/1.55 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.17/1.55 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.17/1.55 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.17/1.55 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.17/1.55 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.17/1.55 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.17/1.55 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.17/1.55 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.17/1.55 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.17/1.55 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.56 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.17/1.56 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.17/1.56 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.17/1.56 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.17/1.56 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.17/1.56 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.17/1.56 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.17/1.56 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.17/1.56 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ), 'v_rs____'
% 1.17/1.56 , 'tc_Lambda_OdB' ) ) ) ],
% 1.17/1.56 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.17/1.56 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.17/1.56 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.17/1.56 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.17/1.56 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Lattices_Olattice'( Y ) ) ],
% 1.17/1.56 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Lattices_Olattice'( Y ) ) ],
% 1.17/1.56 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.17/1.56 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.17/1.56 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.17/1.56 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.17/1.56 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.17/1.56 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Orderings_Opreorder'( Y ) ) ],
% 1.17/1.56 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Lattices_Olattice'( Y ) ) ],
% 1.17/1.56 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.56 'class_Orderings_Oorder'( Y ) ) ],
% 1.17/1.56 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.17/1.56 Y ) ) ],
% 1.17/1.56 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.17/1.56 Y ) ) ],
% 1.17/1.56 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Owellorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 1.17/1.56 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.17/1.56 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.17/1.56 T, W ), hAPP( U, W ) ) ) ],
% 1.17/1.56 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.17/1.56 T, W ), U ) ) ],
% 1.17/1.56 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.17/1.56 hAPP( U, W ) ) ) ],
% 1.17/1.56 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.17/1.56 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.17/1.56 ] .
% 1.17/1.56
% 1.17/1.56
% 1.17/1.56 percentage equality = 0.357288, percentage horn = 0.904149
% 1.17/1.56 This is a problem with some equality
% 1.17/1.56
% 1.17/1.56
% 1.17/1.56
% 1.17/1.56 Options Used:
% 1.17/1.56
% 1.17/1.56 useres = 1
% 1.17/1.56 useparamod = 1
% 1.17/1.56 useeqrefl = 1
% 1.17/1.56 useeqfact = 1
% 1.17/1.56 usefactor = 1
% 1.17/1.56 usesimpsplitting = 0
% 1.17/1.56 usesimpdemod = 5
% 1.17/1.56 usesimpres = 3
% 1.17/1.56
% 1.17/1.56 resimpinuse = 1000
% 1.17/1.56 resimpclauses = 20000
% 1.17/1.56 substype = eqrewr
% 1.17/1.56 backwardsubs = 1
% 1.17/1.56 selectoldest = 5
% 1.17/1.56
% 1.17/1.56 litorderings [0] = split
% 1.17/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 1.17/1.56
% 1.17/1.56 termordering = kbo
% 1.17/1.56
% 1.17/1.56 litapriori = 0
% 1.17/1.56 termapriori = 1
% 1.17/1.56 litaposteriori = 0
% 1.17/1.56 termaposteriori = 0
% 1.17/1.56 demodaposteriori = 0
% 1.17/1.56 ordereqreflfact = 0
% 1.17/1.56
% 1.17/1.56 litselect = negord
% 1.17/1.56
% 1.17/1.56 maxweight = 15
% 1.17/1.56 maxdepth = 30000
% 1.17/1.56 maxlength = 115
% 1.17/1.56 maxnrvars = 195
% 1.17/1.56 excuselevel = 1
% 1.17/1.56 increasemaxweight = 1
% 1.17/1.56
% 1.17/1.56 maxselected = 10000000
% 1.17/1.56 maxnrclauses = 10000000
% 1.17/1.56
% 1.17/1.56 showgenerated = 0
% 1.17/1.56 showkept = 0
% 1.17/1.56 showselected = 0
% 1.17/1.56 showdeleted = 0
% 1.17/1.56 showresimp = 1
% 1.17/1.56 showstatus = 2000
% 1.17/1.56
% 1.17/1.56 prologoutput = 1
% 1.17/1.56 nrgoals = 5000000
% 1.17/1.56 totalproof = 1
% 1.17/1.56
% 1.17/1.56 Symbols occurring in the translation:
% 1.17/1.56
% 1.17/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.17/1.56 . [1, 2] (w:1, o:191, a:1, s:1, b:0),
% 1.17/1.56 ! [4, 1] (w:0, o:133, a:1, s:1, b:0),
% 1.17/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.56 'class_Orderings_Olinorder' [40, 1] (w:1, o:138, a:1, s:1, b:0),
% 1.17/1.56 'class_Orderings_Oorder' [42, 1] (w:1, o:139, a:1, s:1, b:0),
% 1.17/1.56 'c_lessequals' [43, 1] (w:1, o:140, a:1, s:1, b:0),
% 1.17/1.56 hAPP [46, 2] (w:1, o:216, a:1, s:1, b:0),
% 1.17/1.56 hBOOL [48, 1] (w:1, o:141, a:1, s:1, b:0),
% 1.17/1.56 'c_Orderings_Oorder__class_Ostrict__mono' [49, 3] (w:1, o:237, a:1
% 1.17/1.56 , s:1, b:0),
% 1.17/1.56 'c_HOL_Oord__class_Oless' [50, 1] (w:1, o:142, a:1, s:1, b:0),
% 1.17/1.56 'tc_bool' [51, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.17/1.56 'tc_fun' [52, 2] (w:1, o:217, a:1, s:1, b:0),
% 1.17/1.56 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [53, 2] (w:1
% 1.17/1.56 , o:218, a:1, s:1, b:0),
% 1.17/1.56 'c_COMBB' [55, 3] (w:1, o:238, a:1, s:1, b:0),
% 1.17/1.56 'c_Set_Oinsert' [56, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.17/1.56 'c_in' [59, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.17/1.56 'c_Lambda_OdB_OApp' [61, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.17/1.56 'c_Lambda_Olift' [65, 2] (w:1, o:219, a:1, s:1, b:0),
% 1.17/1.56 'class_Lattices_Odistrib__lattice' [66, 1] (w:1, o:145, a:1, s:1, b:0
% 1.17/1.56 ),
% 1.17/1.56 'c_Lattices_Oupper__semilattice__class_Osup' [67, 1] (w:1, o:146, a:1
% 1.17/1.56 , s:1, b:0),
% 1.17/1.56 'c_Finite__Set_Olattice__class_OInf__fin' [68, 2] (w:1, o:220, a:1
% 1.17/1.56 , s:1, b:0),
% 1.17/1.56 'c_Collect' [69, 1] (w:1, o:147, a:1, s:1, b:0),
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% 1.17/1.56 ),
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% 1.17/1.56 1, b:0),
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% 1.17/1.56 , s:1, b:0),
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% 1.17/1.56 , b:0),
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% 1.17/1.56
% 1.17/1.56 'c_HOL_Otimes__class_Otimes' [101, 1] (w:1, o:156, a:1, s:1, b:0),
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% 1.58/1.95
% 1.58/1.95 'c_List_Olist_ONil' [105, 1] (w:1, o:158, a:1, s:1, b:0),
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% 1.58/1.95 'class_Orderings_Owellorder' [109, 1] (w:1, o:160, a:1, s:1, b:0),
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% 1.58/1.95 ,
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% 1.58/1.95
% 1.58/1.95 'c_Finite__Set_Olattice_OInf__fin' [130, 3] (w:1, o:242, a:1, s:1, b:
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% 10.78/11.17
% 10.78/11.17 'v_P' [211, 0] (w:1, o:103, a:1, s:1, b:0),
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% 10.78/11.17 'tc_Type_Otype' [261, 0] (w:1, o:121, a:1, s:1, b:0),
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% 10.78/11.17
% 10.78/11.17
% 10.78/11.17 Starting Search:
% 10.78/11.17
% 10.78/11.17 Resimplifying inuse:
% 10.78/11.17 Done
% 10.78/11.17
% 10.78/11.17
% 10.78/11.17 Intermediate Status:
% 10.78/11.17 Generated: 5723
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% 10.78/11.17 Resimplifying inuse:
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% 10.78/11.17 Resimplifying inuse:
% 10.78/11.17 Done
% 10.78/11.17
% 10.78/11.17
% 10.78/11.17 Intermediate Status:
% 10.78/11.17 Generated: 15700
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% 10.78/11.17 Resimplifying inuse:
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% 10.78/11.17 Resimplifying inuse:
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% 10.78/11.17
% 10.78/11.17
% 10.78/11.17 Intermediate Status:
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% 10.78/11.17 Resimplifying inuse:
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% 10.78/11.17
% 10.78/11.17
% 10.78/11.17 Intermediate Status:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58
% 28.22/28.58 Intermediate Status:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58
% 28.22/28.58 Intermediate Status:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
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% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
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% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 72492
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% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying clauses:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 82007
% 28.22/28.58 Kept: 22148
% 28.22/28.58 Inuse: 426
% 28.22/28.58 Deleted: 86
% 28.22/28.58 Deletedinuse: 3
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 92652
% 28.22/28.58 Kept: 24557
% 28.22/28.58 Inuse: 446
% 28.22/28.58 Deleted: 86
% 28.22/28.58 Deletedinuse: 3
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 105318
% 28.22/28.58 Kept: 26886
% 28.22/28.58 Inuse: 491
% 28.22/28.58 Deleted: 91
% 28.22/28.58 Deletedinuse: 8
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 113757
% 28.22/28.58 Kept: 28925
% 28.22/28.58 Inuse: 522
% 28.22/28.58 Deleted: 91
% 28.22/28.58 Deletedinuse: 8
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 121669
% 28.22/28.58 Kept: 30946
% 28.22/28.58 Inuse: 556
% 28.22/28.58 Deleted: 93
% 28.22/28.58 Deletedinuse: 10
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 128985
% 28.22/28.58 Kept: 32982
% 28.22/28.58 Inuse: 583
% 28.22/28.58 Deleted: 94
% 28.22/28.58 Deletedinuse: 11
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 138954
% 28.22/28.58 Kept: 35613
% 28.22/28.58 Inuse: 609
% 28.22/28.58 Deleted: 96
% 28.22/28.58 Deletedinuse: 11
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 145079
% 28.22/28.58 Kept: 38152
% 28.22/28.58 Inuse: 614
% 28.22/28.58 Deleted: 96
% 28.22/28.58 Deletedinuse: 11
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 154036
% 28.22/28.58 Kept: 40237
% 28.22/28.58 Inuse: 663
% 28.22/28.58 Deleted: 98
% 28.22/28.58 Deletedinuse: 12
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying clauses:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 163559
% 28.22/28.58 Kept: 42496
% 28.22/28.58 Inuse: 678
% 28.22/28.58 Deleted: 457
% 28.22/28.58 Deletedinuse: 14
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 170330
% 28.22/28.58 Kept: 44555
% 28.22/28.58 Inuse: 698
% 28.22/28.58 Deleted: 457
% 28.22/28.58 Deletedinuse: 14
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 178381
% 28.22/28.58 Kept: 46591
% 28.22/28.58 Inuse: 733
% 28.22/28.58 Deleted: 457
% 28.22/28.58 Deletedinuse: 14
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 185636
% 28.22/28.58 Kept: 48612
% 28.22/28.58 Inuse: 770
% 28.22/28.58 Deleted: 460
% 28.22/28.58 Deletedinuse: 17
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 196679
% 28.22/28.58 Kept: 51302
% 28.22/28.58 Inuse: 787
% 28.22/28.58 Deleted: 461
% 28.22/28.58 Deletedinuse: 17
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 213962
% 28.22/28.58 Kept: 53698
% 28.22/28.58 Inuse: 796
% 28.22/28.58 Deleted: 468
% 28.22/28.58 Deletedinuse: 23
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 235551
% 28.22/28.58 Kept: 56553
% 28.22/28.58 Inuse: 819
% 28.22/28.58 Deleted: 470
% 28.22/28.58 Deletedinuse: 23
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 255158
% 28.22/28.58 Kept: 58901
% 28.22/28.58 Inuse: 826
% 28.22/28.58 Deleted: 474
% 28.22/28.58 Deletedinuse: 24
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 275204
% 28.22/28.58 Kept: 61395
% 28.22/28.58 Inuse: 836
% 28.22/28.58 Deleted: 477
% 28.22/28.58 Deletedinuse: 27
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying clauses:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58 Resimplifying inuse:
% 28.22/28.58 Done
% 28.22/28.58
% 28.22/28.58
% 28.22/28.58 Intermediate Status:
% 28.22/28.58 Generated: 288081
% 28.22/28.58 Kept: 63405
% 58.81/59.24 Inuse: 851
% 58.81/59.24 Deleted: 876
% 58.81/59.24 Deletedinuse: 27
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 294866
% 58.81/59.24 Kept: 65539
% 58.81/59.24 Inuse: 866
% 58.81/59.24 Deleted: 876
% 58.81/59.24 Deletedinuse: 27
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 303093
% 58.81/59.24 Kept: 67545
% 58.81/59.24 Inuse: 888
% 58.81/59.24 Deleted: 876
% 58.81/59.24 Deletedinuse: 27
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 312234
% 58.81/59.24 Kept: 69553
% 58.81/59.24 Inuse: 900
% 58.81/59.24 Deleted: 876
% 58.81/59.24 Deletedinuse: 27
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 326080
% 58.81/59.24 Kept: 73159
% 58.81/59.24 Inuse: 911
% 58.81/59.24 Deleted: 876
% 58.81/59.24 Deletedinuse: 27
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 334114
% 58.81/59.24 Kept: 75210
% 58.81/59.24 Inuse: 926
% 58.81/59.24 Deleted: 876
% 58.81/59.24 Deletedinuse: 27
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 343099
% 58.81/59.24 Kept: 77215
% 58.81/59.24 Inuse: 959
% 58.81/59.24 Deleted: 877
% 58.81/59.24 Deletedinuse: 28
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 359282
% 58.81/59.24 Kept: 79599
% 58.81/59.24 Inuse: 969
% 58.81/59.24 Deleted: 885
% 58.81/59.24 Deletedinuse: 34
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 368355
% 58.81/59.24 Kept: 81698
% 58.81/59.24 Inuse: 987
% 58.81/59.24 Deleted: 888
% 58.81/59.24 Deletedinuse: 35
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying clauses:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 379079
% 58.81/59.24 Kept: 83709
% 58.81/59.24 Inuse: 1014
% 58.81/59.24 Deleted: 1172
% 58.81/59.24 Deletedinuse: 35
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 390044
% 58.81/59.24 Kept: 86117
% 58.81/59.24 Inuse: 1038
% 58.81/59.24 Deleted: 1178
% 58.81/59.24 Deletedinuse: 37
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 398325
% 58.81/59.24 Kept: 88603
% 58.81/59.24 Inuse: 1045
% 58.81/59.24 Deleted: 1182
% 58.81/59.24 Deletedinuse: 38
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24 Resimplifying inuse:
% 58.81/59.24 Done
% 58.81/59.24
% 58.81/59.24
% 58.81/59.24 Intermediate Status:
% 58.81/59.24 Generated: 406479
% 58.81/59.24 Kept: 91380
% 58.81/59.24 Inuse: 1054
% 58.81/59.24 Deleted: 1185
% 58.81/59.25 Deletedinuse: 40
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 414595
% 58.81/59.25 Kept: 94122
% 58.81/59.25 Inuse: 1069
% 58.81/59.25 Deleted: 1185
% 58.81/59.25 Deletedinuse: 40
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 424887
% 58.81/59.25 Kept: 96383
% 58.81/59.25 Inuse: 1099
% 58.81/59.25 Deleted: 1185
% 58.81/59.25 Deletedinuse: 40
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 442818
% 58.81/59.25 Kept: 99829
% 58.81/59.25 Inuse: 1114
% 58.81/59.25 Deleted: 1188
% 58.81/59.25 Deletedinuse: 43
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 461078
% 58.81/59.25 Kept: 102049
% 58.81/59.25 Inuse: 1124
% 58.81/59.25 Deleted: 1188
% 58.81/59.25 Deletedinuse: 43
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying clauses:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 473675
% 58.81/59.25 Kept: 105056
% 58.81/59.25 Inuse: 1139
% 58.81/59.25 Deleted: 1615
% 58.81/59.25 Deletedinuse: 43
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 485476
% 58.81/59.25 Kept: 108275
% 58.81/59.25 Inuse: 1152
% 58.81/59.25 Deleted: 1618
% 58.81/59.25 Deletedinuse: 44
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 499472
% 58.81/59.25 Kept: 111741
% 58.81/59.25 Inuse: 1160
% 58.81/59.25 Deleted: 1622
% 58.81/59.25 Deletedinuse: 46
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 508800
% 58.81/59.25 Kept: 113953
% 58.81/59.25 Inuse: 1170
% 58.81/59.25 Deleted: 1622
% 58.81/59.25 Deletedinuse: 46
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 526708
% 58.81/59.25 Kept: 118002
% 58.81/59.25 Inuse: 1190
% 58.81/59.25 Deleted: 1622
% 58.81/59.25 Deletedinuse: 46
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 537191
% 58.81/59.25 Kept: 120216
% 58.81/59.25 Inuse: 1215
% 58.81/59.25 Deleted: 1622
% 58.81/59.25 Deletedinuse: 46
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 554893
% 58.81/59.25 Kept: 123871
% 58.81/59.25 Inuse: 1238
% 58.81/59.25 Deleted: 1626
% 58.81/59.25 Deletedinuse: 48
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying clauses:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25 Resimplifying inuse:
% 58.81/59.25 Done
% 58.81/59.25
% 58.81/59.25
% 58.81/59.25 Intermediate Status:
% 58.81/59.25 Generated: 564380
% 58.81/59.25 Kept: 125970
% 121.26/121.69 Inuse: 1258
% 121.26/121.69 Deleted: 1937
% 121.26/121.69 Deletedinuse: 51
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 571656
% 121.26/121.69 Kept: 128076
% 121.26/121.69 Inuse: 1274
% 121.26/121.69 Deleted: 1942
% 121.26/121.69 Deletedinuse: 52
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 578350
% 121.26/121.69 Kept: 131678
% 121.26/121.69 Inuse: 1280
% 121.26/121.69 Deleted: 1949
% 121.26/121.69 Deletedinuse: 55
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 586070
% 121.26/121.69 Kept: 133690
% 121.26/121.69 Inuse: 1291
% 121.26/121.69 Deleted: 1954
% 121.26/121.69 Deletedinuse: 56
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 592920
% 121.26/121.69 Kept: 135916
% 121.26/121.69 Inuse: 1308
% 121.26/121.69 Deleted: 1961
% 121.26/121.69 Deletedinuse: 60
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 603221
% 121.26/121.69 Kept: 138199
% 121.26/121.69 Inuse: 1329
% 121.26/121.69 Deleted: 1969
% 121.26/121.69 Deletedinuse: 64
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 612693
% 121.26/121.69 Kept: 140225
% 121.26/121.69 Inuse: 1350
% 121.26/121.69 Deleted: 1970
% 121.26/121.69 Deletedinuse: 64
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 620422
% 121.26/121.69 Kept: 142238
% 121.26/121.69 Inuse: 1363
% 121.26/121.69 Deleted: 1970
% 121.26/121.69 Deletedinuse: 64
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 630716
% 121.26/121.69 Kept: 145117
% 121.26/121.69 Inuse: 1376
% 121.26/121.69 Deleted: 1972
% 121.26/121.69 Deletedinuse: 66
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying clauses:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 638937
% 121.26/121.69 Kept: 147191
% 121.26/121.69 Inuse: 1388
% 121.26/121.69 Deleted: 2844
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 653119
% 121.26/121.69 Kept: 151595
% 121.26/121.69 Inuse: 1408
% 121.26/121.69 Deleted: 2844
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 661332
% 121.26/121.69 Kept: 154922
% 121.26/121.69 Inuse: 1413
% 121.26/121.69 Deleted: 2844
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 678791
% 121.26/121.69 Kept: 158802
% 121.26/121.69 Inuse: 1418
% 121.26/121.69 Deleted: 2844
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 696440
% 121.26/121.69 Kept: 162684
% 121.26/121.69 Inuse: 1423
% 121.26/121.69 Deleted: 2844
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 711361
% 121.26/121.69 Kept: 166646
% 121.26/121.69 Inuse: 1433
% 121.26/121.69 Deleted: 2844
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying clauses:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 721015
% 121.26/121.69 Kept: 169439
% 121.26/121.69 Inuse: 1438
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 729429
% 121.26/121.69 Kept: 171444
% 121.26/121.69 Inuse: 1454
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 739108
% 121.26/121.69 Kept: 173691
% 121.26/121.69 Inuse: 1473
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 753692
% 121.26/121.69 Kept: 177699
% 121.26/121.69 Inuse: 1488
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 763276
% 121.26/121.69 Kept: 180505
% 121.26/121.69 Inuse: 1493
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 772836
% 121.26/121.69 Kept: 183207
% 121.26/121.69 Inuse: 1498
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 798604
% 121.26/121.69 Kept: 187373
% 121.26/121.69 Inuse: 1518
% 121.26/121.69 Deleted: 3181
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying clauses:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 808311
% 121.26/121.69 Kept: 189788
% 121.26/121.69 Inuse: 1533
% 121.26/121.69 Deleted: 3321
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 826738
% 121.26/121.69 Kept: 194405
% 121.26/121.69 Inuse: 1538
% 121.26/121.69 Deleted: 3321
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 838537
% 121.26/121.69 Kept: 197531
% 121.26/121.69 Inuse: 1558
% 121.26/121.69 Deleted: 3321
% 121.26/121.69 Deletedinuse: 67
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69 Resimplifying inuse:
% 121.26/121.69 Done
% 121.26/121.69
% 121.26/121.69
% 121.26/121.69 Intermediate Status:
% 121.26/121.69 Generated: 848949
% 121.26/121.69 Kept: 199826
% 121.26/121.69 Inuse: 1573
% 202.70/203.19 Deleted: 3321
% 202.70/203.19 Deletedinuse: 67
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 858530
% 202.70/203.19 Kept: 201998
% 202.70/203.19 Inuse: 1593
% 202.70/203.19 Deleted: 3321
% 202.70/203.19 Deletedinuse: 67
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 866339
% 202.70/203.19 Kept: 204608
% 202.70/203.19 Inuse: 1608
% 202.70/203.19 Deleted: 3323
% 202.70/203.19 Deletedinuse: 69
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 874773
% 202.70/203.19 Kept: 207036
% 202.70/203.19 Inuse: 1622
% 202.70/203.19 Deleted: 3324
% 202.70/203.19 Deletedinuse: 69
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying clauses:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 884533
% 202.70/203.19 Kept: 209697
% 202.70/203.19 Inuse: 1636
% 202.70/203.19 Deleted: 3743
% 202.70/203.19 Deletedinuse: 74
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 894998
% 202.70/203.19 Kept: 212359
% 202.70/203.19 Inuse: 1651
% 202.70/203.19 Deleted: 3743
% 202.70/203.19 Deletedinuse: 74
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 915365
% 202.70/203.19 Kept: 217365
% 202.70/203.19 Inuse: 1656
% 202.70/203.19 Deleted: 3743
% 202.70/203.19 Deletedinuse: 74
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 924146
% 202.70/203.19 Kept: 219606
% 202.70/203.19 Inuse: 1671
% 202.70/203.19 Deleted: 3743
% 202.70/203.19 Deletedinuse: 74
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 931001
% 202.70/203.19 Kept: 221804
% 202.70/203.19 Inuse: 1681
% 202.70/203.19 Deleted: 3743
% 202.70/203.19 Deletedinuse: 74
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 939429
% 202.70/203.19 Kept: 223815
% 202.70/203.19 Inuse: 1697
% 202.70/203.19 Deleted: 3744
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 973518
% 202.70/203.19 Kept: 227910
% 202.70/203.19 Inuse: 1706
% 202.70/203.19 Deleted: 3744
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying clauses:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 985031
% 202.70/203.19 Kept: 230293
% 202.70/203.19 Inuse: 1711
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1001785
% 202.70/203.19 Kept: 232578
% 202.70/203.19 Inuse: 1741
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1010181
% 202.70/203.19 Kept: 234743
% 202.70/203.19 Inuse: 1751
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1019953
% 202.70/203.19 Kept: 236758
% 202.70/203.19 Inuse: 1764
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1031769
% 202.70/203.19 Kept: 239246
% 202.70/203.19 Inuse: 1781
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1048492
% 202.70/203.19 Kept: 241946
% 202.70/203.19 Inuse: 1801
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1065655
% 202.70/203.19 Kept: 246520
% 202.70/203.19 Inuse: 1811
% 202.70/203.19 Deleted: 3914
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying clauses:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1084549
% 202.70/203.19 Kept: 252196
% 202.70/203.19 Inuse: 1821
% 202.70/203.19 Deleted: 4154
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1097373
% 202.70/203.19 Kept: 255666
% 202.70/203.19 Inuse: 1826
% 202.70/203.19 Deleted: 4154
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1110214
% 202.70/203.19 Kept: 259074
% 202.70/203.19 Inuse: 1831
% 202.70/203.19 Deleted: 4154
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1116272
% 202.70/203.19 Kept: 261479
% 202.70/203.19 Inuse: 1836
% 202.70/203.19 Deleted: 4154
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1123369
% 202.70/203.19 Kept: 264472
% 202.70/203.19 Inuse: 1841
% 202.70/203.19 Deleted: 4154
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1130497
% 202.70/203.19 Kept: 267479
% 202.70/203.19 Inuse: 1846
% 202.70/203.19 Deleted: 4154
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying clauses:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1142668
% 202.70/203.19 Kept: 270287
% 202.70/203.19 Inuse: 1861
% 202.70/203.19 Deleted: 4201
% 202.70/203.19 Deletedinuse: 75
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19 Resimplifying inuse:
% 202.70/203.19 Done
% 202.70/203.19
% 202.70/203.19
% 202.70/203.19 Intermediate Status:
% 202.70/203.19 Generated: 1153416
% 263.96/264.46 Kept: 272468
% 263.96/264.46 Inuse: 1876
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1165092
% 263.96/264.46 Kept: 274606
% 263.96/264.46 Inuse: 1891
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1176043
% 263.96/264.46 Kept: 276871
% 263.96/264.46 Inuse: 1902
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1183901
% 263.96/264.46 Kept: 279503
% 263.96/264.46 Inuse: 1911
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1200368
% 263.96/264.46 Kept: 283210
% 263.96/264.46 Inuse: 1916
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1213747
% 263.96/264.46 Kept: 286056
% 263.96/264.46 Inuse: 1921
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1242824
% 263.96/264.46 Kept: 289645
% 263.96/264.46 Inuse: 1931
% 263.96/264.46 Deleted: 4201
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying clauses:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1253152
% 263.96/264.46 Kept: 291879
% 263.96/264.46 Inuse: 1941
% 263.96/264.46 Deleted: 4556
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1279222
% 263.96/264.46 Kept: 295250
% 263.96/264.46 Inuse: 1951
% 263.96/264.46 Deleted: 4556
% 263.96/264.46 Deletedinuse: 75
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1301583
% 263.96/264.46 Kept: 297960
% 263.96/264.46 Inuse: 1956
% 263.96/264.46 Deleted: 4558
% 263.96/264.46 Deletedinuse: 77
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1314876
% 263.96/264.46 Kept: 300965
% 263.96/264.46 Inuse: 1971
% 263.96/264.46 Deleted: 4561
% 263.96/264.46 Deletedinuse: 80
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1341818
% 263.96/264.46 Kept: 304239
% 263.96/264.46 Inuse: 1976
% 263.96/264.46 Deleted: 4562
% 263.96/264.46 Deletedinuse: 81
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1348392
% 263.96/264.46 Kept: 306436
% 263.96/264.46 Inuse: 1984
% 263.96/264.46 Deleted: 4566
% 263.96/264.46 Deletedinuse: 83
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1373312
% 263.96/264.46 Kept: 309443
% 263.96/264.46 Inuse: 1989
% 263.96/264.46 Deleted: 4566
% 263.96/264.46 Deletedinuse: 83
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying clauses:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1383518
% 263.96/264.46 Kept: 312027
% 263.96/264.46 Inuse: 1998
% 263.96/264.46 Deleted: 4854
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1390222
% 263.96/264.46 Kept: 314106
% 263.96/264.46 Inuse: 2003
% 263.96/264.46 Deleted: 4854
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1420017
% 263.96/264.46 Kept: 319759
% 263.96/264.46 Inuse: 2018
% 263.96/264.46 Deleted: 4854
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1443874
% 263.96/264.46 Kept: 325325
% 263.96/264.46 Inuse: 2023
% 263.96/264.46 Deleted: 4854
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1456915
% 263.96/264.46 Kept: 329185
% 263.96/264.46 Inuse: 2033
% 263.96/264.46 Deleted: 4854
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying clauses:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1472706
% 263.96/264.46 Kept: 331795
% 263.96/264.46 Inuse: 2053
% 263.96/264.46 Deleted: 4890
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1485885
% 263.96/264.46 Kept: 334363
% 263.96/264.46 Inuse: 2068
% 263.96/264.46 Deleted: 4890
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1501474
% 263.96/264.46 Kept: 336373
% 263.96/264.46 Inuse: 2087
% 263.96/264.46 Deleted: 4890
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1512993
% 263.96/264.46 Kept: 338401
% 263.96/264.46 Inuse: 2100
% 263.96/264.46 Deleted: 4890
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1532483
% 263.96/264.46 Kept: 340668
% 263.96/264.46 Inuse: 2123
% 263.96/264.46 Deleted: 4890
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1542327
% 263.96/264.46 Kept: 342810
% 263.96/264.46 Inuse: 2133
% 263.96/264.46 Deleted: 4890
% 263.96/264.46 Deletedinuse: 84
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46 Resimplifying inuse:
% 263.96/264.46 Done
% 263.96/264.46
% 263.96/264.46
% 263.96/264.46 Intermediate Status:
% 263.96/264.46 Generated: 1554731
% 263.96/264.46 Kept: 345491
% 264.04/264.47 Inuse: 2143
% 264.04/264.47 Deleted: 4890
% 264.04/264.47 Deletedinuse: 84
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1583743
% 264.04/264.47 Kept: 349533
% 264.04/264.47 Inuse: 2158
% 264.04/264.47 Deleted: 4890
% 264.04/264.47 Deletedinuse: 84
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1591073
% 264.04/264.47 Kept: 351665
% 264.04/264.47 Inuse: 2163
% 264.04/264.47 Deleted: 4891
% 264.04/264.47 Deletedinuse: 85
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47 Resimplifying clauses:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1597749
% 264.04/264.47 Kept: 353825
% 264.04/264.47 Inuse: 2168
% 264.04/264.47 Deleted: 5256
% 264.04/264.47 Deletedinuse: 85
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1605100
% 264.04/264.47 Kept: 356235
% 264.04/264.47 Inuse: 2173
% 264.04/264.47 Deleted: 5256
% 264.04/264.47 Deletedinuse: 85
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1612893
% 264.04/264.47 Kept: 358646
% 264.04/264.47 Inuse: 2178
% 264.04/264.47 Deleted: 5256
% 264.04/264.47 Deletedinuse: 85
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1630303
% 264.04/264.47 Kept: 363014
% 264.04/264.47 Inuse: 2183
% 264.04/264.47 Deleted: 5256
% 264.04/264.47 Deletedinuse: 85
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1654680
% 264.04/264.47 Kept: 368171
% 264.04/264.47 Inuse: 2188
% 264.04/264.47 Deleted: 5257
% 264.04/264.47 Deletedinuse: 86
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1661041
% 264.04/264.47 Kept: 370346
% 264.04/264.47 Inuse: 2193
% 264.04/264.47 Deleted: 5257
% 264.04/264.47 Deletedinuse: 86
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1689110
% 264.04/264.47 Kept: 375976
% 264.04/264.47 Inuse: 2198
% 264.04/264.47 Deleted: 5257
% 264.04/264.47 Deletedinuse: 86
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47 Resimplifying clauses:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Intermediate Status:
% 264.04/264.47 Generated: 1703293
% 264.04/264.47 Kept: 378865
% 264.04/264.47 Inuse: 2213
% 264.04/264.47 Deleted: 5512
% 264.04/264.47 Deletedinuse: 86
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47 Resimplifying inuse:
% 264.04/264.47 Done
% 264.04/264.47
% 264.04/264.47 assignments is full
% 264.04/264.47
% 264.04/264.47 Memory use:
% 264.04/264.47
% 264.04/264.47 space for terms: 17397385
% 264.04/264.47 space for clauses: 20069144
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 clauses generated: 1714861
% 264.04/264.47 clauses kept: 380759
% 264.04/264.47 clauses selected: 2228
% 264.04/264.47 clauses deleted: 5512
% 264.04/264.47 clauses inuse deleted: 86
% 264.04/264.47
% 264.04/264.47 subsentry: 35401595
% 264.04/264.47 literals s-matched: 21578630
% 264.04/264.47 literals matched: 18825357
% 264.04/264.47 full subsumption: 11516903
% 264.04/264.47
% 264.04/264.47 checksum: -1867927428
% 264.04/264.47
% 264.04/264.47
% 264.04/264.47 Bliksem ended
%------------------------------------------------------------------------------